Properties

Label 354.2.e.c.49.2
Level 354
Weight 2
Character 354.49
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 49.2
Character \(\chi\) = 354.49
Dual form 354.2.e.c.289.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(0.271121 - 0.319189i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(3.97639 + 2.39251i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(0.271121 - 0.319189i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(3.97639 + 2.39251i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(0.196166 + 0.370009i) q^{10} +(0.249248 - 4.59712i) q^{11} +(-0.647386 - 0.762162i) q^{12} +(-4.61848 + 1.01660i) q^{13} +(-3.69440 + 2.80841i) q^{14} +(0.304042 - 0.288004i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(4.87423 - 2.93273i) q^{17} +(-0.561187 + 0.827689i) q^{18} +(-0.702917 + 2.53168i) q^{19} +(-0.416339 + 0.0452796i) q^{20} +(3.69440 + 2.80841i) q^{21} +(4.17836 + 1.93311i) q^{22} +(3.14242 + 4.63472i) q^{23} +(0.947653 - 0.319302i) q^{24} +(0.780535 + 4.76105i) q^{25} +(0.765073 - 4.66674i) q^{26} +(0.947653 + 0.319302i) q^{27} +(-1.24151 - 4.47151i) q^{28} +(0.0677602 + 0.170065i) q^{29} +(0.155012 + 0.389050i) q^{30} +(1.54173 + 5.55282i) q^{31} +(-0.947653 - 0.319302i) q^{32} +(0.744823 - 4.54322i) q^{33} +(0.920297 + 5.61356i) q^{34} +(1.84175 - 0.620556i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(-10.7405 - 4.96909i) q^{37} +(-2.09169 - 1.59006i) q^{38} +(-4.70132 + 0.511299i) q^{39} +(0.112039 - 0.403529i) q^{40} +(-0.365726 + 0.539405i) q^{41} +(-3.97639 + 2.39251i) q^{42} +(-0.567172 - 10.4609i) q^{43} +(-3.34239 + 3.16608i) q^{44} +(0.333399 - 0.253443i) q^{45} +(-5.46868 + 1.20375i) q^{46} +(-5.62826 - 6.62610i) q^{47} +(-0.0541389 + 0.998533i) q^{48} +(6.80867 + 12.8425i) q^{49} +(-4.71182 - 1.03715i) q^{50} +(5.16274 - 2.38854i) q^{51} +(4.05211 + 2.43807i) q^{52} +(-1.09486 + 2.06513i) q^{53} +(-0.647386 + 0.762162i) q^{54} +(-1.39977 - 1.32593i) q^{55} +(4.61346 + 0.501744i) q^{56} +(-0.972519 + 2.44084i) q^{57} -0.183067 q^{58} +(-6.80642 - 3.55987i) q^{59} -0.418794 q^{60} +(0.309567 - 0.776955i) q^{61} +(-5.72909 - 0.623076i) q^{62} +(3.36910 + 3.19138i) q^{63} +(0.647386 - 0.762162i) q^{64} +(-0.927679 + 1.74979i) q^{65} +(3.94486 + 2.37354i) q^{66} +(7.12726 - 3.29742i) q^{67} +(-5.55551 - 1.22286i) q^{68} +(2.62290 + 4.94731i) q^{69} +(-0.105218 + 1.94063i) q^{70} +(-7.34790 - 8.65061i) q^{71} +(0.976621 - 0.214970i) q^{72} +(9.08264 - 6.90445i) q^{73} +(8.59163 - 8.13843i) q^{74} +(0.261199 + 4.81754i) q^{75} +(2.25135 - 1.35459i) q^{76} +(11.9898 - 17.6836i) q^{77} +(1.26515 - 4.55667i) q^{78} +(-0.822754 + 0.0894799i) q^{79} +(0.333399 + 0.253443i) q^{80} +(0.907575 + 0.419889i) q^{81} +(-0.365726 - 0.539405i) q^{82} +(-17.2288 + 5.80506i) q^{83} +(-0.750776 - 4.57953i) q^{84} +(0.385415 - 2.35092i) q^{85} +(9.92784 + 3.34508i) q^{86} +(0.0489757 + 0.176394i) q^{87} +(-1.70407 - 4.27689i) q^{88} +(-0.921762 - 2.31345i) q^{89} +(0.112039 + 0.403529i) q^{90} +(-20.7971 - 7.00735i) q^{91} +(0.905913 - 5.52583i) q^{92} +(0.932329 + 5.68695i) q^{93} +(8.23873 - 2.77595i) q^{94} +(0.617507 + 0.910755i) q^{95} +(-0.907575 - 0.419889i) q^{96} +(-0.133237 - 0.101284i) q^{97} +(-14.4505 + 1.57159i) q^{98} +(1.23167 - 4.43606i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{18}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.370138 + 0.928977i −0.261727 + 0.656886i
\(3\) 0.994138 + 0.108119i 0.573966 + 0.0624225i
\(4\) −0.725995 0.687699i −0.362998 0.343850i
\(5\) 0.271121 0.319189i 0.121249 0.142745i −0.698188 0.715914i \(-0.746010\pi\)
0.819437 + 0.573169i \(0.194286\pi\)
\(6\) −0.468408 + 0.883512i −0.191227 + 0.360692i
\(7\) 3.97639 + 2.39251i 1.50293 + 0.904284i 0.999182 + 0.0404351i \(0.0128744\pi\)
0.503750 + 0.863849i \(0.331953\pi\)
\(8\) 0.907575 0.419889i 0.320876 0.148453i
\(9\) 0.976621 + 0.214970i 0.325540 + 0.0716568i
\(10\) 0.196166 + 0.370009i 0.0620333 + 0.117007i
\(11\) 0.249248 4.59712i 0.0751512 1.38608i −0.681286 0.732017i \(-0.738579\pi\)
0.756438 0.654066i \(-0.226938\pi\)
\(12\) −0.647386 0.762162i −0.186884 0.220017i
\(13\) −4.61848 + 1.01660i −1.28094 + 0.281955i −0.802756 0.596307i \(-0.796634\pi\)
−0.478179 + 0.878262i \(0.658703\pi\)
\(14\) −3.69440 + 2.80841i −0.987370 + 0.750579i
\(15\) 0.304042 0.288004i 0.0785034 0.0743624i
\(16\) 0.0541389 + 0.998533i 0.0135347 + 0.249633i
\(17\) 4.87423 2.93273i 1.18218 0.711291i 0.217842 0.975984i \(-0.430098\pi\)
0.964333 + 0.264693i \(0.0852706\pi\)
\(18\) −0.561187 + 0.827689i −0.132273 + 0.195088i
\(19\) −0.702917 + 2.53168i −0.161260 + 0.580807i 0.838116 + 0.545492i \(0.183657\pi\)
−0.999376 + 0.0353149i \(0.988757\pi\)
\(20\) −0.416339 + 0.0452796i −0.0930962 + 0.0101248i
\(21\) 3.69440 + 2.80841i 0.806184 + 0.612845i
\(22\) 4.17836 + 1.93311i 0.890829 + 0.412141i
\(23\) 3.14242 + 4.63472i 0.655240 + 0.966406i 0.999620 + 0.0275757i \(0.00877874\pi\)
−0.344380 + 0.938830i \(0.611911\pi\)
\(24\) 0.947653 0.319302i 0.193439 0.0651772i
\(25\) 0.780535 + 4.76105i 0.156107 + 0.952211i
\(26\) 0.765073 4.66674i 0.150043 0.915223i
\(27\) 0.947653 + 0.319302i 0.182376 + 0.0614496i
\(28\) −1.24151 4.47151i −0.234623 0.845036i
\(29\) 0.0677602 + 0.170065i 0.0125827 + 0.0315803i 0.935134 0.354295i \(-0.115279\pi\)
−0.922551 + 0.385875i \(0.873900\pi\)
\(30\) 0.155012 + 0.389050i 0.0283011 + 0.0710304i
\(31\) 1.54173 + 5.55282i 0.276903 + 0.997315i 0.962933 + 0.269741i \(0.0869382\pi\)
−0.686030 + 0.727574i \(0.740648\pi\)
\(32\) −0.947653 0.319302i −0.167523 0.0564451i
\(33\) 0.744823 4.54322i 0.129657 0.790873i
\(34\) 0.920297 + 5.61356i 0.157830 + 0.962718i
\(35\) 1.84175 0.620556i 0.311312 0.104893i
\(36\) −0.561187 0.827689i −0.0935312 0.137948i
\(37\) −10.7405 4.96909i −1.76573 0.816913i −0.980179 0.198112i \(-0.936519\pi\)
−0.785548 0.618800i \(-0.787619\pi\)
\(38\) −2.09169 1.59006i −0.339318 0.257943i
\(39\) −4.70132 + 0.511299i −0.752813 + 0.0818734i
\(40\) 0.112039 0.403529i 0.0177149 0.0638035i
\(41\) −0.365726 + 0.539405i −0.0571168 + 0.0842409i −0.855175 0.518339i \(-0.826550\pi\)
0.798058 + 0.602580i \(0.205861\pi\)
\(42\) −3.97639 + 2.39251i −0.613570 + 0.369173i
\(43\) −0.567172 10.4609i −0.0864929 1.59527i −0.643953 0.765065i \(-0.722707\pi\)
0.557460 0.830203i \(-0.311776\pi\)
\(44\) −3.34239 + 3.16608i −0.503884 + 0.477304i
\(45\) 0.333399 0.253443i 0.0497001 0.0377811i
\(46\) −5.46868 + 1.20375i −0.806312 + 0.177483i
\(47\) −5.62826 6.62610i −0.820967 0.966517i 0.178883 0.983870i \(-0.442752\pi\)
−0.999849 + 0.0173538i \(0.994476\pi\)
\(48\) −0.0541389 + 0.998533i −0.00781428 + 0.144126i
\(49\) 6.80867 + 12.8425i 0.972667 + 1.83464i
\(50\) −4.71182 1.03715i −0.666351 0.146675i
\(51\) 5.16274 2.38854i 0.722929 0.334462i
\(52\) 4.05211 + 2.43807i 0.561927 + 0.338100i
\(53\) −1.09486 + 2.06513i −0.150391 + 0.283668i −0.947249 0.320500i \(-0.896149\pi\)
0.796858 + 0.604167i \(0.206494\pi\)
\(54\) −0.647386 + 0.762162i −0.0880981 + 0.103717i
\(55\) −1.39977 1.32593i −0.188745 0.178789i
\(56\) 4.61346 + 0.501744i 0.616499 + 0.0670484i
\(57\) −0.972519 + 2.44084i −0.128813 + 0.323297i
\(58\) −0.183067 −0.0240379
\(59\) −6.80642 3.55987i −0.886120 0.463455i
\(60\) −0.418794 −0.0540660
\(61\) 0.309567 0.776955i 0.0396360 0.0994789i −0.907826 0.419347i \(-0.862259\pi\)
0.947462 + 0.319868i \(0.103638\pi\)
\(62\) −5.72909 0.623076i −0.727595 0.0791307i
\(63\) 3.36910 + 3.19138i 0.424467 + 0.402076i
\(64\) 0.647386 0.762162i 0.0809233 0.0952703i
\(65\) −0.927679 + 1.74979i −0.115064 + 0.217035i
\(66\) 3.94486 + 2.37354i 0.485578 + 0.292163i
\(67\) 7.12726 3.29742i 0.870734 0.402844i 0.0669433 0.997757i \(-0.478675\pi\)
0.803791 + 0.594912i \(0.202813\pi\)
\(68\) −5.55551 1.22286i −0.673704 0.148294i
\(69\) 2.62290 + 4.94731i 0.315760 + 0.595586i
\(70\) −0.105218 + 1.94063i −0.0125759 + 0.231950i
\(71\) −7.34790 8.65061i −0.872035 1.02664i −0.999395 0.0347825i \(-0.988926\pi\)
0.127360 0.991857i \(-0.459350\pi\)
\(72\) 0.976621 0.214970i 0.115096 0.0253345i
\(73\) 9.08264 6.90445i 1.06304 0.808104i 0.0809912 0.996715i \(-0.474191\pi\)
0.982052 + 0.188610i \(0.0603983\pi\)
\(74\) 8.59163 8.13843i 0.998757 0.946073i
\(75\) 0.261199 + 4.81754i 0.0301607 + 0.556281i
\(76\) 2.25135 1.35459i 0.258247 0.155382i
\(77\) 11.9898 17.6836i 1.36636 2.01523i
\(78\) 1.26515 4.55667i 0.143250 0.515941i
\(79\) −0.822754 + 0.0894799i −0.0925670 + 0.0100673i −0.154285 0.988026i \(-0.549307\pi\)
0.0617183 + 0.998094i \(0.480342\pi\)
\(80\) 0.333399 + 0.253443i 0.0372751 + 0.0283358i
\(81\) 0.907575 + 0.419889i 0.100842 + 0.0466543i
\(82\) −0.365726 0.539405i −0.0403876 0.0595673i
\(83\) −17.2288 + 5.80506i −1.89111 + 0.637188i −0.924306 + 0.381651i \(0.875355\pi\)
−0.966799 + 0.255536i \(0.917748\pi\)
\(84\) −0.750776 4.57953i −0.0819164 0.499668i
\(85\) 0.385415 2.35092i 0.0418041 0.254994i
\(86\) 9.92784 + 3.34508i 1.07055 + 0.360709i
\(87\) 0.0489757 + 0.176394i 0.00525074 + 0.0189115i
\(88\) −1.70407 4.27689i −0.181654 0.455918i
\(89\) −0.921762 2.31345i −0.0977066 0.245225i 0.871996 0.489513i \(-0.162825\pi\)
−0.969703 + 0.244287i \(0.921446\pi\)
\(90\) 0.112039 + 0.403529i 0.0118100 + 0.0425357i
\(91\) −20.7971 7.00735i −2.18013 0.734570i
\(92\) 0.905913 5.52583i 0.0944480 0.576107i
\(93\) 0.932329 + 5.68695i 0.0966780 + 0.589710i
\(94\) 8.23873 2.77595i 0.849760 0.286318i
\(95\) 0.617507 + 0.910755i 0.0633549 + 0.0934415i
\(96\) −0.907575 0.419889i −0.0926290 0.0428548i
\(97\) −0.133237 0.101284i −0.0135282 0.0102839i 0.598388 0.801206i \(-0.295808\pi\)
−0.611916 + 0.790922i \(0.709601\pi\)
\(98\) −14.4505 + 1.57159i −1.45973 + 0.158755i
\(99\) 1.23167 4.43606i 0.123787 0.445841i
\(100\) 2.70751 3.99328i 0.270751 0.399328i
\(101\) −11.5522 + 6.95075i −1.14949 + 0.691625i −0.957118 0.289697i \(-0.906445\pi\)
−0.192371 + 0.981322i \(0.561618\pi\)
\(102\) 0.307969 + 5.68016i 0.0304935 + 0.562419i
\(103\) −4.98640 + 4.72337i −0.491325 + 0.465408i −0.892794 0.450465i \(-0.851258\pi\)
0.401469 + 0.915872i \(0.368500\pi\)
\(104\) −3.76476 + 2.86189i −0.369165 + 0.280632i
\(105\) 1.89804 0.417791i 0.185230 0.0407722i
\(106\) −1.51321 1.78149i −0.146976 0.173033i
\(107\) −0.0196142 + 0.361762i −0.00189617 + 0.0349729i −0.999328 0.0366442i \(-0.988333\pi\)
0.997432 + 0.0716170i \(0.0228159\pi\)
\(108\) −0.468408 0.883512i −0.0450726 0.0850160i
\(109\) 12.5291 + 2.75785i 1.20007 + 0.264154i 0.769644 0.638473i \(-0.220434\pi\)
0.430422 + 0.902628i \(0.358365\pi\)
\(110\) 1.74987 0.809576i 0.166844 0.0771900i
\(111\) −10.1403 6.10121i −0.962474 0.579101i
\(112\) −2.17373 + 4.10008i −0.205398 + 0.387421i
\(113\) 4.17130 4.91084i 0.392403 0.461973i −0.530115 0.847926i \(-0.677851\pi\)
0.922519 + 0.385953i \(0.126127\pi\)
\(114\) −1.90752 1.80690i −0.178655 0.169231i
\(115\) 2.33133 + 0.253547i 0.217397 + 0.0236434i
\(116\) 0.0677602 0.170065i 0.00629137 0.0157902i
\(117\) −4.72904 −0.437200
\(118\) 5.82635 5.00536i 0.536359 0.460781i
\(119\) 26.3984 2.41994
\(120\) 0.155012 0.389050i 0.0141505 0.0355152i
\(121\) −10.1358 1.10234i −0.921440 0.100213i
\(122\) 0.607190 + 0.575161i 0.0549724 + 0.0520727i
\(123\) −0.421902 + 0.496701i −0.0380416 + 0.0447860i
\(124\) 2.69938 5.09157i 0.242411 0.457236i
\(125\) 3.52553 + 2.12124i 0.315333 + 0.189729i
\(126\) −4.21175 + 1.94856i −0.375213 + 0.173592i
\(127\) −11.6866 2.57240i −1.03701 0.228264i −0.336336 0.941742i \(-0.609188\pi\)
−0.700678 + 0.713478i \(0.747119\pi\)
\(128\) 0.468408 + 0.883512i 0.0414018 + 0.0780922i
\(129\) 0.567172 10.4609i 0.0499367 0.921029i
\(130\) −1.28214 1.50946i −0.112451 0.132388i
\(131\) −0.349962 + 0.0770324i −0.0305763 + 0.00673035i −0.230232 0.973136i \(-0.573949\pi\)
0.199656 + 0.979866i \(0.436018\pi\)
\(132\) −3.66511 + 2.78614i −0.319007 + 0.242503i
\(133\) −8.85214 + 8.38519i −0.767578 + 0.727088i
\(134\) 0.425157 + 7.84156i 0.0367280 + 0.677408i
\(135\) 0.358846 0.215911i 0.0308846 0.0185826i
\(136\) 3.19231 4.70831i 0.273739 0.403734i
\(137\) 2.23819 8.06124i 0.191222 0.688718i −0.804303 0.594219i \(-0.797461\pi\)
0.995525 0.0944993i \(-0.0301250\pi\)
\(138\) −5.56677 + 0.605422i −0.473875 + 0.0515370i
\(139\) −11.7101 8.90180i −0.993239 0.755040i −0.0236349 0.999721i \(-0.507524\pi\)
−0.969604 + 0.244680i \(0.921317\pi\)
\(140\) −1.76385 0.816046i −0.149073 0.0689685i
\(141\) −4.87886 7.19578i −0.410874 0.605994i
\(142\) 10.7560 3.62410i 0.902620 0.304128i
\(143\) 3.52230 + 21.4851i 0.294549 + 1.79667i
\(144\) −0.161782 + 0.986827i −0.0134818 + 0.0822355i
\(145\) 0.0726541 + 0.0244800i 0.00603360 + 0.00203295i
\(146\) 3.05224 + 10.9932i 0.252605 + 0.909801i
\(147\) 5.38024 + 13.5034i 0.443755 + 1.11374i
\(148\) 4.38032 + 10.9938i 0.360060 + 0.903682i
\(149\) 2.80556 + 10.1047i 0.229841 + 0.827811i 0.985041 + 0.172318i \(0.0551256\pi\)
−0.755201 + 0.655494i \(0.772461\pi\)
\(150\) −4.57206 1.54051i −0.373307 0.125782i
\(151\) 0.538016 3.28175i 0.0437831 0.267065i −0.955859 0.293827i \(-0.905071\pi\)
0.999642 + 0.0267613i \(0.00851941\pi\)
\(152\) 0.425074 + 2.59284i 0.0344781 + 0.210307i
\(153\) 5.39073 1.81635i 0.435814 0.146843i
\(154\) 11.9898 + 17.6836i 0.966163 + 1.42498i
\(155\) 2.19039 + 1.01338i 0.175936 + 0.0813969i
\(156\) 3.76476 + 2.86189i 0.301422 + 0.229135i
\(157\) 15.1369 1.64623i 1.20805 0.131384i 0.518153 0.855288i \(-0.326620\pi\)
0.689900 + 0.723904i \(0.257654\pi\)
\(158\) 0.221408 0.797439i 0.0176143 0.0634408i
\(159\) −1.31173 + 1.93465i −0.104027 + 0.153428i
\(160\) −0.358846 + 0.215911i −0.0283693 + 0.0170692i
\(161\) 1.40684 + 25.9477i 0.110875 + 2.04497i
\(162\) −0.725995 + 0.687699i −0.0570396 + 0.0540308i
\(163\) −4.92449 + 3.74350i −0.385716 + 0.293213i −0.780005 0.625773i \(-0.784784\pi\)
0.394290 + 0.918986i \(0.370991\pi\)
\(164\) 0.636464 0.140096i 0.0496995 0.0109397i
\(165\) −1.24821 1.46950i −0.0971728 0.114401i
\(166\) 0.984272 18.1538i 0.0763943 1.40901i
\(167\) −2.48950 4.69570i −0.192643 0.363364i 0.768308 0.640080i \(-0.221099\pi\)
−0.960952 + 0.276716i \(0.910754\pi\)
\(168\) 4.53217 + 0.997605i 0.349664 + 0.0769669i
\(169\) 8.49837 3.93176i 0.653721 0.302443i
\(170\) 2.04130 + 1.22821i 0.156560 + 0.0941993i
\(171\) −1.23072 + 2.32138i −0.0941155 + 0.177521i
\(172\) −6.78217 + 7.98459i −0.517136 + 0.608819i
\(173\) 4.74674 + 4.49635i 0.360888 + 0.341851i 0.846563 0.532288i \(-0.178668\pi\)
−0.485675 + 0.874139i \(0.661426\pi\)
\(174\) −0.181994 0.0197931i −0.0137969 0.00150051i
\(175\) −8.28717 + 20.7992i −0.626451 + 1.57227i
\(176\) 4.60387 0.347030
\(177\) −6.38163 4.27490i −0.479673 0.321321i
\(178\) 2.49032 0.186657
\(179\) −4.66259 + 11.7022i −0.348498 + 0.874665i 0.645347 + 0.763889i \(0.276713\pi\)
−0.993845 + 0.110775i \(0.964667\pi\)
\(180\) −0.416339 0.0452796i −0.0310321 0.00337494i
\(181\) 8.36630 + 7.92498i 0.621862 + 0.589059i 0.932367 0.361513i \(-0.117740\pi\)
−0.310505 + 0.950572i \(0.600498\pi\)
\(182\) 14.2075 16.7263i 1.05313 1.23984i
\(183\) 0.391756 0.738930i 0.0289594 0.0546233i
\(184\) 4.79805 + 2.88689i 0.353717 + 0.212824i
\(185\) −4.49805 + 2.08102i −0.330704 + 0.153000i
\(186\) −5.62814 1.23885i −0.412675 0.0908367i
\(187\) −12.2672 23.1384i −0.897067 1.69205i
\(188\) −0.470674 + 8.68108i −0.0343274 + 0.633133i
\(189\) 3.00430 + 3.53694i 0.218531 + 0.257274i
\(190\) −1.07463 + 0.236545i −0.0779621 + 0.0171608i
\(191\) 15.0127 11.4124i 1.08628 0.825769i 0.100690 0.994918i \(-0.467895\pi\)
0.985591 + 0.169149i \(0.0541018\pi\)
\(192\) 0.725995 0.687699i 0.0523942 0.0496304i
\(193\) 0.418147 + 7.71226i 0.0300989 + 0.555141i 0.974228 + 0.225565i \(0.0724229\pi\)
−0.944129 + 0.329576i \(0.893094\pi\)
\(194\) 0.143407 0.0862850i 0.0102960 0.00619490i
\(195\) −1.11143 + 1.63923i −0.0795909 + 0.117388i
\(196\) 3.88873 14.0059i 0.277766 1.00042i
\(197\) −0.707049 + 0.0768962i −0.0503752 + 0.00547863i −0.133272 0.991080i \(-0.542548\pi\)
0.0828967 + 0.996558i \(0.473583\pi\)
\(198\) 3.66511 + 2.78614i 0.260468 + 0.198003i
\(199\) −12.5746 5.81761i −0.891387 0.412400i −0.0799224 0.996801i \(-0.525467\pi\)
−0.811465 + 0.584402i \(0.801329\pi\)
\(200\) 2.70751 + 3.99328i 0.191450 + 0.282367i
\(201\) 7.44200 2.50750i 0.524918 0.176865i
\(202\) −2.18116 13.3045i −0.153466 0.936101i
\(203\) −0.137442 + 0.838362i −0.00964657 + 0.0588415i
\(204\) −5.39073 1.81635i −0.377426 0.127170i
\(205\) 0.0730159 + 0.262980i 0.00509965 + 0.0183673i
\(206\) −2.54224 6.38055i −0.177127 0.444554i
\(207\) 2.07262 + 5.20189i 0.144057 + 0.361556i
\(208\) −1.26515 4.55667i −0.0877225 0.315948i
\(209\) 11.4632 + 3.86241i 0.792928 + 0.267168i
\(210\) −0.314420 + 1.91788i −0.0216970 + 0.132346i
\(211\) 3.70978 + 22.6287i 0.255392 + 1.55782i 0.733604 + 0.679577i \(0.237837\pi\)
−0.478212 + 0.878244i \(0.658715\pi\)
\(212\) 2.21506 0.746339i 0.152131 0.0512588i
\(213\) −6.36953 9.39435i −0.436433 0.643690i
\(214\) −0.328809 0.152123i −0.0224769 0.0103989i
\(215\) −3.49276 2.65513i −0.238205 0.181078i
\(216\) 0.994138 0.108119i 0.0676425 0.00735657i
\(217\) −7.15466 + 25.7687i −0.485690 + 1.74930i
\(218\) −7.19946 + 10.6184i −0.487609 + 0.719170i
\(219\) 9.77590 5.88197i 0.660594 0.397466i
\(220\) 0.104384 + 1.92524i 0.00703754 + 0.129800i
\(221\) −19.5301 + 18.4999i −1.31374 + 1.24444i
\(222\) 9.42119 7.16180i 0.632309 0.480669i
\(223\) −7.51338 + 1.65382i −0.503133 + 0.110748i −0.459283 0.888290i \(-0.651894\pi\)
−0.0438505 + 0.999038i \(0.513963\pi\)
\(224\) −3.00430 3.53694i −0.200733 0.236322i
\(225\) −0.261199 + 4.81754i −0.0174133 + 0.321169i
\(226\) 3.01810 + 5.69273i 0.200761 + 0.378675i
\(227\) 11.9701 + 2.63482i 0.794485 + 0.174879i 0.593626 0.804741i \(-0.297696\pi\)
0.200859 + 0.979620i \(0.435627\pi\)
\(228\) 2.38461 1.10324i 0.157925 0.0730637i
\(229\) 21.4187 + 12.8872i 1.41539 + 0.851610i 0.998358 0.0572841i \(-0.0182441\pi\)
0.417028 + 0.908894i \(0.363072\pi\)
\(230\) −1.09845 + 2.07190i −0.0724298 + 0.136617i
\(231\) 13.8314 16.2836i 0.910040 1.07138i
\(232\) 0.132906 + 0.125895i 0.00872571 + 0.00826543i
\(233\) −23.4871 2.55438i −1.53869 0.167343i −0.700872 0.713287i \(-0.747206\pi\)
−0.837822 + 0.545944i \(0.816171\pi\)
\(234\) 1.75040 4.39317i 0.114427 0.287190i
\(235\) −3.64092 −0.237507
\(236\) 2.49331 + 7.26522i 0.162301 + 0.472925i
\(237\) −0.827605 −0.0537587
\(238\) −9.77106 + 24.5235i −0.633364 + 1.58962i
\(239\) −0.167170 0.0181808i −0.0108133 0.00117602i 0.102711 0.994711i \(-0.467248\pi\)
−0.113524 + 0.993535i \(0.536214\pi\)
\(240\) 0.304042 + 0.288004i 0.0196258 + 0.0185906i
\(241\) −1.36322 + 1.60490i −0.0878125 + 0.103381i −0.804313 0.594205i \(-0.797467\pi\)
0.716501 + 0.697586i \(0.245743\pi\)
\(242\) 4.77571 9.00794i 0.306994 0.579052i
\(243\) 0.856857 + 0.515554i 0.0549674 + 0.0330728i
\(244\) −0.759056 + 0.351177i −0.0485936 + 0.0224818i
\(245\) 5.94516 + 1.30863i 0.379822 + 0.0836052i
\(246\) −0.305262 0.575785i −0.0194628 0.0367107i
\(247\) 0.672693 12.4071i 0.0428024 0.789444i
\(248\) 3.73080 + 4.39224i 0.236906 + 0.278908i
\(249\) −17.7554 + 3.90827i −1.12520 + 0.247676i
\(250\) −3.27551 + 2.48998i −0.207162 + 0.157480i
\(251\) 13.5817 12.8653i 0.857271 0.812051i −0.126409 0.991978i \(-0.540345\pi\)
0.983680 + 0.179928i \(0.0575864\pi\)
\(252\) −0.251240 4.63386i −0.0158267 0.291906i
\(253\) 22.0896 13.2909i 1.38876 0.835590i
\(254\) 6.71534 9.90439i 0.421358 0.621457i
\(255\) 0.637335 2.29547i 0.0399115 0.143748i
\(256\) −0.994138 + 0.108119i −0.0621336 + 0.00675744i
\(257\) −8.07458 6.13814i −0.503679 0.382887i 0.322256 0.946653i \(-0.395559\pi\)
−0.825935 + 0.563766i \(0.809352\pi\)
\(258\) 9.50798 + 4.39886i 0.591941 + 0.273861i
\(259\) −30.8198 45.4558i −1.91505 2.82448i
\(260\) 1.87682 0.632374i 0.116395 0.0392182i
\(261\) 0.0296170 + 0.180656i 0.00183325 + 0.0111823i
\(262\) 0.0579729 0.353619i 0.00358158 0.0218466i
\(263\) −21.4752 7.23582i −1.32422 0.446180i −0.433669 0.901072i \(-0.642781\pi\)
−0.890546 + 0.454892i \(0.849678\pi\)
\(264\) −1.23167 4.43606i −0.0758038 0.273020i
\(265\) 0.362326 + 0.909369i 0.0222575 + 0.0558621i
\(266\) −4.51313 11.3271i −0.276718 0.694510i
\(267\) −0.666231 2.39955i −0.0407727 0.146850i
\(268\) −7.44200 2.50750i −0.454592 0.153170i
\(269\) −0.598502 + 3.65070i −0.0364913 + 0.222587i −0.998776 0.0494563i \(-0.984251\pi\)
0.962285 + 0.272043i \(0.0876994\pi\)
\(270\) 0.0677533 + 0.413277i 0.00412333 + 0.0251512i
\(271\) 17.8566 6.01660i 1.08471 0.365483i 0.280519 0.959849i \(-0.409493\pi\)
0.804195 + 0.594366i \(0.202597\pi\)
\(272\) 3.19231 + 4.70831i 0.193562 + 0.285483i
\(273\) −19.9175 9.21484i −1.20546 0.557707i
\(274\) 6.66027 + 5.06300i 0.402361 + 0.305867i
\(275\) 22.0817 2.40153i 1.33157 0.144817i
\(276\) 1.49805 5.39549i 0.0901720 0.324770i
\(277\) −2.88243 + 4.25126i −0.173188 + 0.255434i −0.904370 0.426749i \(-0.859659\pi\)
0.731182 + 0.682183i \(0.238969\pi\)
\(278\) 12.6039 7.58353i 0.755933 0.454830i
\(279\) 0.311996 + 5.75442i 0.0186787 + 0.344508i
\(280\) 1.41096 1.33653i 0.0843209 0.0798730i
\(281\) 14.2941 10.8661i 0.852713 0.648216i −0.0847110 0.996406i \(-0.526997\pi\)
0.937424 + 0.348190i \(0.113204\pi\)
\(282\) 8.49057 1.86892i 0.505606 0.111292i
\(283\) 7.51574 + 8.84821i 0.446764 + 0.525972i 0.938735 0.344640i \(-0.111999\pi\)
−0.491970 + 0.870612i \(0.663723\pi\)
\(284\) −0.614482 + 11.3335i −0.0364628 + 0.672517i
\(285\) 0.515417 + 0.972180i 0.0305307 + 0.0575870i
\(286\) −21.2629 4.68031i −1.25730 0.276753i
\(287\) −2.74480 + 1.26988i −0.162020 + 0.0749586i
\(288\) −0.856857 0.515554i −0.0504908 0.0303793i
\(289\) 7.19430 13.5699i 0.423194 0.798229i
\(290\) −0.0496334 + 0.0584330i −0.00291458 + 0.00343130i
\(291\) −0.121505 0.115096i −0.00712277 0.00674704i
\(292\) −11.3421 1.23353i −0.663749 0.0721870i
\(293\) −5.51956 + 13.8530i −0.322456 + 0.809303i 0.674987 + 0.737830i \(0.264149\pi\)
−0.997443 + 0.0714734i \(0.977230\pi\)
\(294\) −14.5358 −0.847742
\(295\) −2.98163 + 1.20738i −0.173597 + 0.0702962i
\(296\) −11.8343 −0.687854
\(297\) 1.70407 4.27689i 0.0988800 0.248170i
\(298\) −10.4255 1.13384i −0.603933 0.0656817i
\(299\) −19.2249 18.2108i −1.11180 1.05316i
\(300\) 3.12339 3.67714i 0.180329 0.212300i
\(301\) 22.7725 42.9534i 1.31258 2.47579i
\(302\) 2.84953 + 1.71451i 0.163972 + 0.0986588i
\(303\) −12.2360 + 5.66098i −0.702941 + 0.325215i
\(304\) −2.56602 0.564824i −0.147171 0.0323949i
\(305\) −0.164065 0.309459i −0.00939433 0.0177196i
\(306\) −0.307969 + 5.68016i −0.0176054 + 0.324713i
\(307\) 4.29470 + 5.05611i 0.245112 + 0.288568i 0.870936 0.491396i \(-0.163513\pi\)
−0.625825 + 0.779964i \(0.715237\pi\)
\(308\) −20.8655 + 4.59284i −1.18892 + 0.261702i
\(309\) −5.46786 + 4.15656i −0.311056 + 0.236458i
\(310\) −1.75216 + 1.65973i −0.0995158 + 0.0942664i
\(311\) 1.37621 + 25.3827i 0.0780377 + 1.43932i 0.731231 + 0.682130i \(0.238946\pi\)
−0.653193 + 0.757191i \(0.726571\pi\)
\(312\) −4.05211 + 2.43807i −0.229406 + 0.138029i
\(313\) 4.94144 7.28808i 0.279307 0.411946i −0.661998 0.749506i \(-0.730291\pi\)
0.941304 + 0.337560i \(0.109601\pi\)
\(314\) −4.07342 + 14.6711i −0.229876 + 0.827940i
\(315\) 1.93209 0.210127i 0.108861 0.0118393i
\(316\) 0.658851 + 0.500845i 0.0370632 + 0.0281747i
\(317\) 12.8272 + 5.93449i 0.720446 + 0.333314i 0.745622 0.666369i \(-0.232152\pi\)
−0.0251756 + 0.999683i \(0.508015\pi\)
\(318\) −1.31173 1.93465i −0.0735579 0.108490i
\(319\) 0.798699 0.269113i 0.0447185 0.0150674i
\(320\) −0.0677533 0.413277i −0.00378752 0.0231029i
\(321\) −0.0586126 + 0.357521i −0.00327143 + 0.0199549i
\(322\) −24.6255 8.29731i −1.37233 0.462391i
\(323\) 3.99854 + 14.4015i 0.222485 + 0.801318i
\(324\) −0.370138 0.928977i −0.0205632 0.0516098i
\(325\) −8.44499 21.1953i −0.468444 1.17571i
\(326\) −1.65488 5.96035i −0.0916554 0.330113i
\(327\) 12.1574 + 4.09632i 0.672308 + 0.226527i
\(328\) −0.105433 + 0.643115i −0.00582158 + 0.0355101i
\(329\) −6.52711 39.8136i −0.359851 2.19500i
\(330\) 1.82714 0.615636i 0.100581 0.0338896i
\(331\) 2.10381 + 3.10289i 0.115636 + 0.170550i 0.881102 0.472926i \(-0.156802\pi\)
−0.765467 + 0.643476i \(0.777492\pi\)
\(332\) 16.5002 + 7.63379i 0.905564 + 0.418959i
\(333\) −9.42119 7.16180i −0.516278 0.392464i
\(334\) 5.28365 0.574632i 0.289109 0.0314424i
\(335\) 0.879853 3.16894i 0.0480715 0.173138i
\(336\) −2.60428 + 3.84103i −0.142075 + 0.209545i
\(337\) −21.7449 + 13.0835i −1.18452 + 0.712703i −0.964832 0.262867i \(-0.915332\pi\)
−0.219689 + 0.975570i \(0.570504\pi\)
\(338\) 0.506947 + 9.35008i 0.0275743 + 0.508578i
\(339\) 4.67781 4.43105i 0.254064 0.240662i
\(340\) −1.89654 + 1.44171i −0.102854 + 0.0781878i
\(341\) 25.9112 5.70349i 1.40317 0.308861i
\(342\) −1.70097 2.00254i −0.0919782 0.108285i
\(343\) −1.89329 + 34.9196i −0.102228 + 1.88548i
\(344\) −4.90716 9.25588i −0.264576 0.499044i
\(345\) 2.29025 + 0.504121i 0.123303 + 0.0271410i
\(346\) −5.93395 + 2.74534i −0.319011 + 0.147590i
\(347\) 9.73935 + 5.85997i 0.522836 + 0.314580i 0.752392 0.658715i \(-0.228900\pi\)
−0.229556 + 0.973295i \(0.573727\pi\)
\(348\) 0.0857502 0.161742i 0.00459670 0.00867029i
\(349\) −18.4145 + 21.6792i −0.985706 + 1.16046i 0.00133611 + 0.999999i \(0.499575\pi\)
−0.987042 + 0.160463i \(0.948701\pi\)
\(350\) −16.2546 15.3972i −0.868845 0.823014i
\(351\) −4.70132 0.511299i −0.250938 0.0272911i
\(352\) −1.70407 + 4.27689i −0.0908271 + 0.227959i
\(353\) 0.856291 0.0455757 0.0227879 0.999740i \(-0.492746\pi\)
0.0227879 + 0.999740i \(0.492746\pi\)
\(354\) 6.33337 4.34608i 0.336615 0.230992i
\(355\) −4.75335 −0.252282
\(356\) −0.921762 + 2.31345i −0.0488533 + 0.122613i
\(357\) 26.2437 + 2.85417i 1.38896 + 0.151059i
\(358\) −9.14528 8.66287i −0.483343 0.457847i
\(359\) 11.8778 13.9837i 0.626888 0.738030i −0.353429 0.935461i \(-0.614984\pi\)
0.980317 + 0.197432i \(0.0632601\pi\)
\(360\) 0.196166 0.370009i 0.0103389 0.0195012i
\(361\) 10.3650 + 6.23640i 0.545525 + 0.328232i
\(362\) −10.4588 + 4.83876i −0.549703 + 0.254319i
\(363\) −9.95724 2.19175i −0.522619 0.115037i
\(364\) 10.2796 + 19.3894i 0.538799 + 1.01628i
\(365\) 0.258677 4.77102i 0.0135398 0.249727i
\(366\) 0.541445 + 0.637439i 0.0283018 + 0.0333194i
\(367\) 17.6749 3.89053i 0.922620 0.203084i 0.271833 0.962344i \(-0.412370\pi\)
0.650787 + 0.759260i \(0.274439\pi\)
\(368\) −4.45780 + 3.38873i −0.232379 + 0.176650i
\(369\) −0.473131 + 0.448174i −0.0246302 + 0.0233310i
\(370\) −0.268319 4.94885i −0.0139492 0.257279i
\(371\) −9.29445 + 5.59228i −0.482544 + 0.290337i
\(372\) 3.23405 4.76987i 0.167678 0.247306i
\(373\) −8.44574 + 30.4188i −0.437304 + 1.57503i 0.336552 + 0.941665i \(0.390739\pi\)
−0.773856 + 0.633362i \(0.781675\pi\)
\(374\) 26.0356 2.83154i 1.34627 0.146415i
\(375\) 3.27551 + 2.48998i 0.169147 + 0.128582i
\(376\) −7.89030 3.65044i −0.406911 0.188257i
\(377\) −0.485838 0.716557i −0.0250219 0.0369046i
\(378\) −4.39774 + 1.48177i −0.226195 + 0.0762141i
\(379\) −6.14936 37.5094i −0.315871 1.92673i −0.371840 0.928297i \(-0.621273\pi\)
0.0559686 0.998433i \(-0.482175\pi\)
\(380\) 0.178018 1.08586i 0.00913215 0.0557036i
\(381\) −11.3399 3.82086i −0.580962 0.195749i
\(382\) 5.04504 + 18.1706i 0.258127 + 0.929689i
\(383\) 9.43984 + 23.6922i 0.482353 + 1.21062i 0.945875 + 0.324530i \(0.105206\pi\)
−0.463522 + 0.886085i \(0.653415\pi\)
\(384\) 0.370138 + 0.928977i 0.0188885 + 0.0474066i
\(385\) −2.39372 8.62139i −0.121995 0.439387i
\(386\) −7.31929 2.46615i −0.372542 0.125524i
\(387\) 1.69487 10.3382i 0.0861549 0.525522i
\(388\) 0.0270764 + 0.165159i 0.00137460 + 0.00838467i
\(389\) 23.6623 7.97275i 1.19972 0.404234i 0.352674 0.935746i \(-0.385272\pi\)
0.847051 + 0.531512i \(0.178376\pi\)
\(390\) −1.11143 1.63923i −0.0562793 0.0830057i
\(391\) 28.9093 + 13.3748i 1.46200 + 0.676395i
\(392\) 11.5718 + 8.79666i 0.584465 + 0.444299i
\(393\) −0.356239 + 0.0387433i −0.0179699 + 0.00195434i
\(394\) 0.190271 0.685294i 0.00958572 0.0345246i
\(395\) −0.194505 + 0.286873i −0.00978661 + 0.0144342i
\(396\) −3.94486 + 2.37354i −0.198237 + 0.119275i
\(397\) −0.207403 3.82531i −0.0104092 0.191987i −0.999113 0.0421054i \(-0.986593\pi\)
0.988704 0.149882i \(-0.0478893\pi\)
\(398\) 10.0588 9.52815i 0.504200 0.477603i
\(399\) −9.70685 + 7.37895i −0.485950 + 0.369410i
\(400\) −4.71182 + 1.03715i −0.235591 + 0.0518574i
\(401\) −25.0943 29.5433i −1.25315 1.47532i −0.818274 0.574829i \(-0.805069\pi\)
−0.434875 0.900491i \(-0.643207\pi\)
\(402\) −0.425157 + 7.84156i −0.0212049 + 0.391102i
\(403\) −12.7655 24.0782i −0.635893 1.19942i
\(404\) 13.1669 + 2.89825i 0.655077 + 0.144193i
\(405\) 0.380087 0.175847i 0.0188867 0.00873790i
\(406\) −0.727946 0.437991i −0.0361274 0.0217371i
\(407\) −25.5205 + 48.1368i −1.26501 + 2.38605i
\(408\) 3.68266 4.33556i 0.182319 0.214642i
\(409\) 8.61969 + 8.16500i 0.426216 + 0.403733i 0.870512 0.492147i \(-0.163788\pi\)
−0.444296 + 0.895880i \(0.646546\pi\)
\(410\) −0.271328 0.0295087i −0.0133999 0.00145733i
\(411\) 3.09665 7.77199i 0.152746 0.383364i
\(412\) 6.86837 0.338380
\(413\) −18.5479 30.4398i −0.912684 1.49785i
\(414\) −5.59959 −0.275205
\(415\) −2.81818 + 7.07311i −0.138339 + 0.347205i
\(416\) 4.70132 + 0.511299i 0.230501 + 0.0250685i
\(417\) −10.6790 10.1157i −0.522954 0.495368i
\(418\) −7.83106 + 9.21944i −0.383030 + 0.450938i
\(419\) −5.87640 + 11.0841i −0.287081 + 0.541492i −0.984546 0.175127i \(-0.943967\pi\)
0.697465 + 0.716619i \(0.254311\pi\)
\(420\) −1.66528 1.00197i −0.0812576 0.0488911i
\(421\) 9.92154 4.59019i 0.483546 0.223712i −0.162943 0.986636i \(-0.552099\pi\)
0.646489 + 0.762923i \(0.276237\pi\)
\(422\) −22.3946 4.92943i −1.09015 0.239961i
\(423\) −4.07226 7.68110i −0.198000 0.373468i
\(424\) −0.126545 + 2.33398i −0.00614556 + 0.113348i
\(425\) 17.7674 + 20.9174i 0.861845 + 1.01464i
\(426\) 11.0847 2.43994i 0.537057 0.118215i
\(427\) 3.08983 2.34883i 0.149527 0.113668i
\(428\) 0.263023 0.249149i 0.0127137 0.0120431i
\(429\) 1.17871 + 21.7399i 0.0569084 + 1.04961i
\(430\) 3.75936 2.26193i 0.181292 0.109080i
\(431\) 2.08548 3.07586i 0.100454 0.148159i −0.774140 0.633014i \(-0.781817\pi\)
0.874594 + 0.484855i \(0.161128\pi\)
\(432\) −0.267528 + 0.963550i −0.0128715 + 0.0463588i
\(433\) −12.7291 + 1.38438i −0.611723 + 0.0665289i −0.408736 0.912653i \(-0.634030\pi\)
−0.202987 + 0.979181i \(0.565065\pi\)
\(434\) −21.2904 16.1845i −1.02197 0.776881i
\(435\) 0.0695815 + 0.0321918i 0.00333618 + 0.00154348i
\(436\) −7.19946 10.6184i −0.344792 0.508530i
\(437\) −13.9425 + 4.69777i −0.666959 + 0.224725i
\(438\) 1.84577 + 11.2587i 0.0881945 + 0.537963i
\(439\) 0.0478909 0.292121i 0.00228571 0.0139422i −0.985659 0.168749i \(-0.946027\pi\)
0.987945 + 0.154807i \(0.0494755\pi\)
\(440\) −1.82714 0.615636i −0.0871056 0.0293493i
\(441\) 3.88873 + 14.0059i 0.185177 + 0.666949i
\(442\) −9.95714 24.9905i −0.473613 1.18868i
\(443\) −6.73359 16.9000i −0.319923 0.802945i −0.997707 0.0676844i \(-0.978439\pi\)
0.677784 0.735261i \(-0.262940\pi\)
\(444\) 3.16601 + 11.4029i 0.150252 + 0.541159i
\(445\) −0.988336 0.333009i −0.0468516 0.0157861i
\(446\) 1.24463 7.59190i 0.0589349 0.359487i
\(447\) 1.69660 + 10.3488i 0.0802466 + 0.489483i
\(448\) 4.39774 1.48177i 0.207774 0.0700071i
\(449\) −2.44372 3.60422i −0.115326 0.170094i 0.765645 0.643264i \(-0.222420\pi\)
−0.880971 + 0.473170i \(0.843110\pi\)
\(450\) −4.37870 2.02580i −0.206414 0.0954972i
\(451\) 2.38855 + 1.81573i 0.112472 + 0.0854994i
\(452\) −6.40553 + 0.696643i −0.301291 + 0.0327673i
\(453\) 0.889682 3.20435i 0.0418009 0.150553i
\(454\) −6.87829 + 10.1447i −0.322814 + 0.476115i
\(455\) −7.87520 + 4.73835i −0.369195 + 0.222137i
\(456\) 0.142247 + 2.62360i 0.00666134 + 0.122861i
\(457\) 20.9920 19.8846i 0.981963 0.930165i −0.0156043 0.999878i \(-0.504967\pi\)
0.997567 + 0.0697137i \(0.0222086\pi\)
\(458\) −19.8998 + 15.1274i −0.929855 + 0.706858i
\(459\) 5.55551 1.22286i 0.259309 0.0570782i
\(460\) −1.51817 1.78733i −0.0707850 0.0833345i
\(461\) −1.55836 + 28.7423i −0.0725803 + 1.33866i 0.704698 + 0.709508i \(0.251083\pi\)
−0.777278 + 0.629157i \(0.783400\pi\)
\(462\) 10.0075 + 18.8762i 0.465593 + 0.878202i
\(463\) −5.20498 1.14570i −0.241896 0.0532453i 0.0923677 0.995725i \(-0.470556\pi\)
−0.334263 + 0.942480i \(0.608488\pi\)
\(464\) −0.166147 + 0.0768679i −0.00771320 + 0.00356850i
\(465\) 2.06799 + 1.24427i 0.0959005 + 0.0577014i
\(466\) 11.0664 20.8735i 0.512643 0.966948i
\(467\) 19.8371 23.3540i 0.917952 1.08070i −0.0785323 0.996912i \(-0.525023\pi\)
0.996484 0.0837846i \(-0.0267008\pi\)
\(468\) 3.43326 + 3.25216i 0.158703 + 0.150331i
\(469\) 36.2299 + 3.94024i 1.67294 + 0.181943i
\(470\) 1.34764 3.38233i 0.0621621 0.156015i
\(471\) 15.2261 0.701583
\(472\) −7.67209 0.372906i −0.353136 0.0171644i
\(473\) −48.2312 −2.21767
\(474\) 0.306328 0.768826i 0.0140701 0.0353133i
\(475\) −12.6021 1.37056i −0.578225 0.0628857i
\(476\) −19.1651 18.1542i −0.878432 0.832095i
\(477\) −1.51321 + 1.78149i −0.0692850 + 0.0815687i
\(478\) 0.0787654 0.148567i 0.00360265 0.00679531i
\(479\) −12.4824 7.51041i −0.570335 0.343159i 0.200997 0.979592i \(-0.435582\pi\)
−0.771332 + 0.636432i \(0.780409\pi\)
\(480\) −0.380087 + 0.175847i −0.0173485 + 0.00802628i
\(481\) 54.6564 + 12.0308i 2.49212 + 0.548556i
\(482\) −0.986338 1.86043i −0.0449265 0.0847403i
\(483\) −1.40684 + 25.9477i −0.0640136 + 1.18066i
\(484\) 6.60050 + 7.77070i 0.300023 + 0.353214i
\(485\) −0.0684522 + 0.0150675i −0.00310825 + 0.000684178i
\(486\) −0.796093 + 0.605174i −0.0361115 + 0.0274513i
\(487\) −4.46218 + 4.22680i −0.202200 + 0.191534i −0.782099 0.623154i \(-0.785851\pi\)
0.579898 + 0.814689i \(0.303092\pi\)
\(488\) −0.0452794 0.835129i −0.00204970 0.0378045i
\(489\) −5.30036 + 3.18912i −0.239691 + 0.144217i
\(490\) −3.41622 + 5.03854i −0.154329 + 0.227618i
\(491\) 4.42702 15.9447i 0.199788 0.719573i −0.793964 0.607965i \(-0.791986\pi\)
0.993752 0.111608i \(-0.0356001\pi\)
\(492\) 0.647880 0.0704612i 0.0292087 0.00317664i
\(493\) 0.829034 + 0.630215i 0.0373378 + 0.0283835i
\(494\) 11.2769 + 5.21725i 0.507372 + 0.234735i
\(495\) −1.08201 1.59584i −0.0486327 0.0717278i
\(496\) −5.46120 + 1.84009i −0.245215 + 0.0826227i
\(497\) −8.52138 51.9781i −0.382236 2.33154i
\(498\) 2.94128 17.9410i 0.131802 0.803955i
\(499\) −11.2734 3.79846i −0.504669 0.170043i 0.0554397 0.998462i \(-0.482344\pi\)
−0.560108 + 0.828419i \(0.689240\pi\)
\(500\) −1.10074 3.96451i −0.0492266 0.177298i
\(501\) −1.96721 4.93733i −0.0878886 0.220584i
\(502\) 6.92445 + 17.3791i 0.309053 + 0.775665i
\(503\) −0.174617 0.628915i −0.00778580 0.0280419i 0.959555 0.281521i \(-0.0908389\pi\)
−0.967341 + 0.253479i \(0.918425\pi\)
\(504\) 4.39774 + 1.48177i 0.195891 + 0.0660033i
\(505\) −0.913456 + 5.57184i −0.0406483 + 0.247943i
\(506\) 4.17070 + 25.4402i 0.185410 + 1.13095i
\(507\) 8.87365 2.98988i 0.394093 0.132785i
\(508\) 6.71534 + 9.90439i 0.297945 + 0.439436i
\(509\) −4.59448 2.12563i −0.203647 0.0942169i 0.315415 0.948954i \(-0.397856\pi\)
−0.519061 + 0.854737i \(0.673718\pi\)
\(510\) 1.89654 + 1.44171i 0.0839802 + 0.0638401i
\(511\) 52.6351 5.72441i 2.32844 0.253233i
\(512\) 0.267528 0.963550i 0.0118232 0.0425833i
\(513\) −1.47449 + 2.17471i −0.0651003 + 0.0960158i
\(514\) 8.69090 5.22914i 0.383339 0.230648i
\(515\) 0.155727 + 2.87221i 0.00686214 + 0.126565i
\(516\) −7.60570 + 7.20450i −0.334822 + 0.317161i
\(517\) −31.8638 + 24.2222i −1.40137 + 1.06529i
\(518\) 53.6349 11.8059i 2.35658 0.518723i
\(519\) 4.23277 + 4.98321i 0.185798 + 0.218738i
\(520\) −0.107222 + 1.97759i −0.00470198 + 0.0867229i
\(521\) 11.7256 + 22.1169i 0.513710 + 0.968959i 0.995687 + 0.0927755i \(0.0295739\pi\)
−0.481977 + 0.876184i \(0.660081\pi\)
\(522\) −0.178787 0.0393540i −0.00782531 0.00172248i
\(523\) 28.7442 13.2985i 1.25690 0.581502i 0.325512 0.945538i \(-0.394463\pi\)
0.931385 + 0.364036i \(0.118601\pi\)
\(524\) 0.307046 + 0.184743i 0.0134134 + 0.00807055i
\(525\) −10.4874 + 19.7813i −0.457707 + 0.863327i
\(526\) 14.6707 17.2717i 0.639672 0.753081i
\(527\) 23.7997 + 22.5442i 1.03673 + 0.982042i
\(528\) 4.57688 + 0.497766i 0.199183 + 0.0216625i
\(529\) −3.09266 + 7.76200i −0.134464 + 0.337478i
\(530\) −0.978893 −0.0425204
\(531\) −5.88202 4.93982i −0.255258 0.214370i
\(532\) 12.1931 0.528638
\(533\) 1.14073 2.86303i 0.0494107 0.124012i
\(534\) 2.47572 + 0.269251i 0.107135 + 0.0116516i
\(535\) 0.110153 + 0.104342i 0.00476231 + 0.00451110i
\(536\) 5.08398 5.98532i 0.219594 0.258526i
\(537\) −5.90049 + 11.1295i −0.254625 + 0.480273i
\(538\) −3.16989 1.90726i −0.136663 0.0822277i
\(539\) 60.7356 28.0993i 2.61607 1.21032i
\(540\) −0.409002 0.0900283i −0.0176007 0.00387420i
\(541\) −2.00066 3.77364i −0.0860149 0.162241i 0.836773 0.547551i \(-0.184440\pi\)
−0.922788 + 0.385309i \(0.874095\pi\)
\(542\) −1.02014 + 18.8154i −0.0438188 + 0.808190i
\(543\) 7.46041 + 8.78308i 0.320157 + 0.376918i
\(544\) −5.55551 + 1.22286i −0.238190 + 0.0524297i
\(545\) 4.27717 3.25142i 0.183214 0.139275i
\(546\) 15.9326 15.0922i 0.681853 0.645885i
\(547\) 0.976083 + 18.0028i 0.0417343 + 0.769744i 0.942248 + 0.334916i \(0.108708\pi\)
−0.900514 + 0.434828i \(0.856809\pi\)
\(548\) −7.16863 + 4.31322i −0.306229 + 0.184252i
\(549\) 0.469352 0.692242i 0.0200315 0.0295442i
\(550\) −5.94231 + 21.4023i −0.253381 + 0.912595i
\(551\) −0.478180 + 0.0520052i −0.0203712 + 0.00221550i
\(552\) 4.45780 + 3.38873i 0.189736 + 0.144234i
\(553\) −3.48567 1.61264i −0.148226 0.0685765i
\(554\) −2.88243 4.25126i −0.122463 0.180619i
\(555\) −4.69668 + 1.58250i −0.199363 + 0.0671733i
\(556\) 2.37973 + 14.5157i 0.100923 + 0.615603i
\(557\) −1.05429 + 6.43088i −0.0446717 + 0.272485i −0.999712 0.0239901i \(-0.992363\pi\)
0.955041 + 0.296475i \(0.0958112\pi\)
\(558\) −5.46120 1.84009i −0.231191 0.0778974i
\(559\) 13.2540 + 47.7367i 0.560586 + 2.01905i
\(560\) 0.719356 + 1.80545i 0.0303983 + 0.0762941i
\(561\) −9.69359 24.3291i −0.409264 1.02717i
\(562\) 4.80355 + 17.3008i 0.202625 + 0.729791i
\(563\) −17.7024 5.96464i −0.746068 0.251380i −0.0795116 0.996834i \(-0.525336\pi\)
−0.666557 + 0.745454i \(0.732233\pi\)
\(564\) −1.40650 + 8.57930i −0.0592245 + 0.361254i
\(565\) −0.436555 2.66287i −0.0183660 0.112028i
\(566\) −11.0016 + 3.70689i −0.462434 + 0.155812i
\(567\) 2.60428 + 3.84103i 0.109369 + 0.161308i
\(568\) −10.3011 4.76578i −0.432223 0.199968i
\(569\) −3.07544 2.33789i −0.128929 0.0980095i 0.538722 0.842483i \(-0.318907\pi\)
−0.667651 + 0.744474i \(0.732700\pi\)
\(570\) −1.09391 + 0.118970i −0.0458188 + 0.00498309i
\(571\) −3.76044 + 13.5439i −0.157370 + 0.566794i 0.842247 + 0.539092i \(0.181233\pi\)
−0.999616 + 0.0277015i \(0.991181\pi\)
\(572\) 12.2181 18.0203i 0.510864 0.753468i
\(573\) 16.1586 9.72230i 0.675035 0.406155i
\(574\) −0.163733 3.01989i −0.00683410 0.126048i
\(575\) −19.6134 + 18.5788i −0.817935 + 0.774789i
\(576\) 0.796093 0.605174i 0.0331705 0.0252156i
\(577\) 15.4204 3.39429i 0.641959 0.141306i 0.117951 0.993019i \(-0.462367\pi\)
0.524008 + 0.851713i \(0.324436\pi\)
\(578\) 9.94323 + 11.7061i 0.413584 + 0.486909i
\(579\) −0.418147 + 7.71226i −0.0173776 + 0.320511i
\(580\) −0.0359117 0.0677366i −0.00149115 0.00281261i
\(581\) −82.3970 18.1369i −3.41840 0.752447i
\(582\) 0.151895 0.0702742i 0.00629626 0.00291296i
\(583\) 9.22076 + 5.54794i 0.381885 + 0.229772i
\(584\) 5.34408 10.0800i 0.221140 0.417114i
\(585\) −1.28214 + 1.50946i −0.0530101 + 0.0624083i
\(586\) −10.8262 10.2551i −0.447224 0.423633i
\(587\) −28.4746 3.09680i −1.17527 0.127819i −0.500428 0.865778i \(-0.666824\pi\)
−0.674845 + 0.737960i \(0.735790\pi\)
\(588\) 5.38024 13.5034i 0.221877 0.556870i
\(589\) −15.1417 −0.623901
\(590\) −0.0180081 3.21676i −0.000741380 0.132432i
\(591\) −0.711218 −0.0292556
\(592\) 4.38032 10.9938i 0.180030 0.451841i
\(593\) −4.59498 0.499734i −0.188693 0.0205216i 0.0132845 0.999912i \(-0.495771\pi\)
−0.201978 + 0.979390i \(0.564737\pi\)
\(594\) 3.34239 + 3.16608i 0.137140 + 0.129906i
\(595\) 7.15717 8.42607i 0.293415 0.345435i
\(596\) 4.91219 9.26537i 0.201211 0.379524i
\(597\) −11.8719 7.14306i −0.485883 0.292346i
\(598\) 24.0332 11.1190i 0.982792 0.454688i
\(599\) 30.8558 + 6.79187i 1.26073 + 0.277508i 0.794560 0.607185i \(-0.207701\pi\)
0.466173 + 0.884694i \(0.345632\pi\)
\(600\) 2.25989 + 4.26260i 0.0922596 + 0.174020i
\(601\) −1.13592 + 20.9508i −0.0463352 + 0.854603i 0.879319 + 0.476233i \(0.157998\pi\)
−0.925655 + 0.378370i \(0.876485\pi\)
\(602\) 31.4738 + 37.0538i 1.28278 + 1.51020i
\(603\) 7.66948 1.68818i 0.312325 0.0687480i
\(604\) −2.64746 + 2.01255i −0.107724 + 0.0818893i
\(605\) −3.09990 + 2.93638i −0.126029 + 0.119381i
\(606\) −0.729906 13.4623i −0.0296504 0.546869i
\(607\) 17.0208 10.2411i 0.690852 0.415672i −0.126379 0.991982i \(-0.540335\pi\)
0.817231 + 0.576310i \(0.195508\pi\)
\(608\) 1.47449 2.17471i 0.0597985 0.0881962i
\(609\) −0.227280 + 0.818587i −0.00920984 + 0.0331708i
\(610\) 0.348207 0.0378698i 0.0140985 0.00153330i
\(611\) 32.7301 + 24.8808i 1.32412 + 1.00657i
\(612\) −5.16274 2.38854i −0.208692 0.0965510i
\(613\) −14.0334 20.6977i −0.566804 0.835973i 0.430991 0.902356i \(-0.358164\pi\)
−0.997794 + 0.0663836i \(0.978854\pi\)
\(614\) −6.28665 + 2.11822i −0.253708 + 0.0854843i
\(615\) 0.0441548 + 0.269332i 0.00178049 + 0.0108605i
\(616\) 3.45647 21.0836i 0.139265 0.849481i
\(617\) 11.6445 + 3.92349i 0.468790 + 0.157954i 0.543775 0.839231i \(-0.316994\pi\)
−0.0749852 + 0.997185i \(0.523891\pi\)
\(618\) −1.83748 6.61801i −0.0739144 0.266216i
\(619\) −3.72645 9.35269i −0.149779 0.375916i 0.834874 0.550441i \(-0.185540\pi\)
−0.984653 + 0.174525i \(0.944161\pi\)
\(620\) −0.893311 2.24204i −0.0358763 0.0900426i
\(621\) 1.49805 + 5.39549i 0.0601147 + 0.216513i
\(622\) −24.0893 8.11664i −0.965894 0.325448i
\(623\) 1.86967 11.4045i 0.0749068 0.456911i
\(624\) −0.765073 4.66674i −0.0306275 0.186819i
\(625\) −21.2274 + 7.15233i −0.849095 + 0.286093i
\(626\) 4.94144 + 7.28808i 0.197500 + 0.291290i
\(627\) 10.9784 + 5.07916i 0.438436 + 0.202842i
\(628\) −12.1214 9.21446i −0.483697 0.367697i
\(629\) −66.9247 + 7.27850i −2.66846 + 0.290213i
\(630\) −0.519936 + 1.87264i −0.0207147 + 0.0746078i
\(631\) 1.75939 2.59491i 0.0700404 0.103302i −0.791056 0.611744i \(-0.790468\pi\)
0.861096 + 0.508442i \(0.169779\pi\)
\(632\) −0.709139 + 0.426675i −0.0282080 + 0.0169722i
\(633\) 1.24145 + 22.8971i 0.0493430 + 0.910078i
\(634\) −10.2608 + 9.71958i −0.407510 + 0.386014i
\(635\) −3.98956 + 3.03278i −0.158321 + 0.120352i
\(636\) 2.28276 0.502474i 0.0905175 0.0199244i
\(637\) −44.5014 52.3911i −1.76321 2.07581i
\(638\) −0.0456292 + 0.841582i −0.00180648 + 0.0333185i
\(639\) −5.31648 10.0279i −0.210317 0.396700i
\(640\) 0.409002 + 0.0900283i 0.0161672 + 0.00355868i
\(641\) 14.5570 6.73477i 0.574965 0.266007i −0.110785 0.993844i \(-0.535336\pi\)
0.685750 + 0.727837i \(0.259474\pi\)
\(642\) −0.310434 0.186782i −0.0122518 0.00737169i
\(643\) 0.553246 1.04353i 0.0218179 0.0411529i −0.872363 0.488858i \(-0.837414\pi\)
0.894181 + 0.447705i \(0.147759\pi\)
\(644\) 16.8229 19.8054i 0.662914 0.780442i
\(645\) −3.18522 3.01720i −0.125418 0.118802i
\(646\) −14.8586 1.61597i −0.584605 0.0635796i
\(647\) 11.6129 29.1462i 0.456551 1.14586i −0.502992 0.864291i \(-0.667767\pi\)
0.959542 0.281564i \(-0.0908533\pi\)
\(648\) 1.00000 0.0392837
\(649\) −18.0616 + 30.4026i −0.708980 + 1.19341i
\(650\) 22.8158 0.894909
\(651\) −9.89881 + 24.8441i −0.387965 + 0.973718i
\(652\) 6.14956 + 0.668805i 0.240835 + 0.0261924i
\(653\) 6.12417 + 5.80112i 0.239657 + 0.227016i 0.798096 0.602530i \(-0.205841\pi\)
−0.558439 + 0.829546i \(0.688599\pi\)
\(654\) −8.30531 + 9.77777i −0.324763 + 0.382341i
\(655\) −0.0702942 + 0.132589i −0.00274662 + 0.00518068i
\(656\) −0.558414 0.335987i −0.0218024 0.0131181i
\(657\) 10.3545 4.79052i 0.403969 0.186896i
\(658\) 39.4019 + 8.67301i 1.53604 + 0.338109i
\(659\) 7.11516 + 13.4206i 0.277167 + 0.522793i 0.982542 0.186042i \(-0.0595660\pi\)
−0.705375 + 0.708835i \(0.749221\pi\)
\(660\) −0.104384 + 1.92524i −0.00406313 + 0.0749400i
\(661\) 1.00318 + 1.18104i 0.0390192 + 0.0459370i 0.781325 0.624124i \(-0.214544\pi\)
−0.742306 + 0.670061i \(0.766268\pi\)
\(662\) −3.66121 + 0.805893i −0.142297 + 0.0313219i
\(663\) −21.4158 + 16.2799i −0.831721 + 0.632258i
\(664\) −13.1989 + 12.5027i −0.512219 + 0.485199i
\(665\) 0.276455 + 5.09891i 0.0107205 + 0.197727i
\(666\) 10.1403 6.10121i 0.392928 0.236417i
\(667\) −0.575274 + 0.848466i −0.0222747 + 0.0328527i
\(668\) −1.42186 + 5.12108i −0.0550135 + 0.198141i
\(669\) −7.64815 + 0.831786i −0.295694 + 0.0321587i
\(670\) 2.61821 + 1.99031i 0.101150 + 0.0768924i
\(671\) −3.49459 1.61677i −0.134907 0.0624148i
\(672\) −2.60428 3.84103i −0.100462 0.148171i
\(673\) −6.77674 + 2.28335i −0.261224 + 0.0880166i −0.446866 0.894601i \(-0.647460\pi\)
0.185642 + 0.982617i \(0.440563\pi\)
\(674\) −4.10563 25.0432i −0.158143 0.964629i
\(675\) −0.780535 + 4.76105i −0.0300428 + 0.183253i
\(676\) −8.87365 2.98988i −0.341294 0.114995i
\(677\) −3.86296 13.9131i −0.148466 0.534725i −0.999947 0.0103396i \(-0.996709\pi\)
0.851481 0.524386i \(-0.175705\pi\)
\(678\) 2.38491 + 5.98568i 0.0915920 + 0.229879i
\(679\) −0.287478 0.721516i −0.0110324 0.0276893i
\(680\) −0.637335 2.29547i −0.0244407 0.0880274i
\(681\) 11.6151 + 3.91358i 0.445091 + 0.149969i
\(682\) −4.29232 + 26.1820i −0.164361 + 1.00256i
\(683\) 5.29184 + 32.2788i 0.202487 + 1.23511i 0.870951 + 0.491370i \(0.163504\pi\)
−0.668464 + 0.743744i \(0.733048\pi\)
\(684\) 2.48991 0.838949i 0.0952041 0.0320780i
\(685\) −1.96623 2.89998i −0.0751260 0.110803i
\(686\) −31.7387 14.6839i −1.21179 0.560634i
\(687\) 19.8998 + 15.1274i 0.759224 + 0.577147i
\(688\) 10.4148 1.13268i 0.397061 0.0431830i
\(689\) 2.95718 10.6508i 0.112660 0.405763i
\(690\) −1.31602 + 1.94099i −0.0501002 + 0.0738923i
\(691\) 8.83634 5.31665i 0.336150 0.202255i −0.337463 0.941339i \(-0.609569\pi\)
0.673613 + 0.739084i \(0.264741\pi\)
\(692\) −0.353974 6.52866i −0.0134561 0.248182i
\(693\) 15.5109 14.6927i 0.589210 0.558130i
\(694\) −9.04869 + 6.87863i −0.343483 + 0.261109i
\(695\) −6.01621 + 1.32427i −0.228208 + 0.0502324i
\(696\) 0.118515 + 0.139527i 0.00449231 + 0.00528875i
\(697\) −0.200704 + 3.70176i −0.00760219 + 0.140214i
\(698\) −13.3236 25.1310i −0.504305 0.951221i
\(699\) −23.0733 5.07881i −0.872712 0.192098i
\(700\) 20.3201 9.40106i 0.768026 0.355327i
\(701\) 26.5516 + 15.9756i 1.00284 + 0.603389i 0.919483 0.393131i \(-0.128608\pi\)
0.0833579 + 0.996520i \(0.473436\pi\)
\(702\) 2.21512 4.17816i 0.0836044 0.157695i
\(703\) 20.1298 23.6986i 0.759210 0.893811i
\(704\) −3.34239 3.16608i −0.125971 0.119326i
\(705\) −3.61958 0.393653i −0.136321 0.0148258i
\(706\) −0.316946 + 0.795474i −0.0119284 + 0.0299381i
\(707\) −62.5659 −2.35303
\(708\) 1.69319 + 7.49220i 0.0636339 + 0.281574i
\(709\) 29.8914 1.12260 0.561298 0.827614i \(-0.310302\pi\)
0.561298 + 0.827614i \(0.310302\pi\)
\(710\) 1.75940 4.41575i 0.0660290 0.165720i
\(711\) −0.822754 0.0894799i −0.0308557 0.00335576i
\(712\) −1.80796 1.71259i −0.0677562 0.0641821i
\(713\) −20.8910 + 24.5948i −0.782373 + 0.921081i
\(714\) −12.3652 + 23.3233i −0.462758 + 0.872853i
\(715\) 7.81276 + 4.70078i 0.292181 + 0.175799i
\(716\) 11.4326 5.28930i 0.427257 0.197670i
\(717\) −0.164224 0.0361484i −0.00613306 0.00134999i
\(718\) 8.59406 + 16.2101i 0.320727 + 0.604956i
\(719\) 0.0301255 0.555633i 0.00112349 0.0207216i −0.997918 0.0644968i \(-0.979456\pi\)
0.999041 + 0.0437752i \(0.0139385\pi\)
\(720\) 0.271121 + 0.319189i 0.0101041 + 0.0118955i
\(721\) −31.1286 + 6.85192i −1.15929 + 0.255179i
\(722\) −9.62995 + 7.32050i −0.358390 + 0.272441i
\(723\) −1.52874 + 1.44810i −0.0568546 + 0.0538556i
\(724\) −0.623891 11.5070i −0.0231867 0.427654i
\(725\) −0.756801 + 0.455352i −0.0281069 + 0.0169113i
\(726\) 5.72164 8.43879i 0.212350 0.313193i
\(727\) −1.20076 + 4.32474i −0.0445336 + 0.160396i −0.982474 0.186402i \(-0.940317\pi\)
0.937940 + 0.346798i \(0.112731\pi\)
\(728\) −21.8172 + 2.37277i −0.808600 + 0.0879406i
\(729\) 0.796093 + 0.605174i 0.0294849 + 0.0224139i
\(730\) 4.33642 + 2.00624i 0.160498 + 0.0742543i
\(731\) −33.4434 49.3254i −1.23695 1.82436i
\(732\) −0.792575 + 0.267050i −0.0292944 + 0.00987044i
\(733\) −2.11712 12.9139i −0.0781978 0.476985i −0.996673 0.0815063i \(-0.974027\pi\)
0.918475 0.395479i \(-0.129421\pi\)
\(734\) −2.92793 + 17.8596i −0.108072 + 0.659208i
\(735\) 5.76882 + 1.94374i 0.212786 + 0.0716960i
\(736\) −1.49805 5.39549i −0.0552188 0.198880i
\(737\) −13.3822 33.5867i −0.492939 1.23718i
\(738\) −0.241219 0.605414i −0.00887940 0.0222856i
\(739\) 5.41402 + 19.4995i 0.199158 + 0.717302i 0.993893 + 0.110346i \(0.0351958\pi\)
−0.794735 + 0.606956i \(0.792390\pi\)
\(740\) 4.69668 + 1.58250i 0.172654 + 0.0581738i
\(741\) 2.01019 12.2616i 0.0738462 0.450442i
\(742\) −1.75487 10.7042i −0.0644234 0.392965i
\(743\) −27.9767 + 9.42646i −1.02637 + 0.345823i −0.781614 0.623762i \(-0.785603\pi\)
−0.244753 + 0.969586i \(0.578707\pi\)
\(744\) 3.23405 + 4.76987i 0.118566 + 0.174872i
\(745\) 3.98596 + 1.84410i 0.146034 + 0.0675627i
\(746\) −25.1323 19.1051i −0.920158 0.699486i
\(747\) −18.0739 + 1.96566i −0.661290 + 0.0719196i
\(748\) −7.00633 + 25.2345i −0.256177 + 0.922665i
\(749\) −0.943514 + 1.39158i −0.0344752 + 0.0508472i
\(750\) −3.52553 + 2.12124i −0.128734 + 0.0774567i
\(751\) −2.38322 43.9559i −0.0869650 1.60397i −0.638365 0.769734i \(-0.720389\pi\)
0.551400 0.834241i \(-0.314094\pi\)
\(752\) 6.31168 5.97874i 0.230163 0.218022i
\(753\) 14.8931 11.3214i 0.542735 0.412576i
\(754\) 0.845492 0.186107i 0.0307910 0.00677761i
\(755\) −0.901631 1.06148i −0.0328137 0.0386313i
\(756\) 0.251240 4.63386i 0.00913753 0.168532i
\(757\) −11.4991 21.6895i −0.417940 0.788319i 0.581746 0.813371i \(-0.302370\pi\)
−0.999686 + 0.0250514i \(0.992025\pi\)
\(758\) 37.1215 + 8.17106i