Properties

Label 731.2.k.a.35.14
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.14
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104116 + 0.456161i) q^{2} +(-0.128875 - 0.564637i) q^{3} +(1.60469 + 0.772780i) q^{4} +(-2.20664 + 2.76704i) q^{5} +0.270983 q^{6} +0.0588619 q^{7} +(-1.10304 + 1.38317i) q^{8} +(2.40070 - 1.15612i) q^{9} +O(q^{10})\) \(q+(-0.104116 + 0.456161i) q^{2} +(-0.128875 - 0.564637i) q^{3} +(1.60469 + 0.772780i) q^{4} +(-2.20664 + 2.76704i) q^{5} +0.270983 q^{6} +0.0588619 q^{7} +(-1.10304 + 1.38317i) q^{8} +(2.40070 - 1.15612i) q^{9} +(-1.03247 - 1.29468i) q^{10} +(-0.929192 + 0.447475i) q^{11} +(0.229536 - 1.00566i) q^{12} +(-0.588272 + 0.737670i) q^{13} +(-0.00612846 + 0.0268505i) q^{14} +(1.84675 + 0.889350i) q^{15} +(1.70486 + 2.13783i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.277424 + 1.21548i) q^{18} +(2.85635 + 1.37554i) q^{19} +(-5.67930 + 2.73501i) q^{20} +(-0.00758581 - 0.0332356i) q^{21} +(-0.107377 - 0.470450i) q^{22} +(-6.68129 + 3.21754i) q^{23} +(0.923140 + 0.444561i) q^{24} +(-1.67465 - 7.33710i) q^{25} +(-0.275248 - 0.345150i) q^{26} +(-2.04547 - 2.56494i) q^{27} +(0.0944555 + 0.0454874i) q^{28} +(-2.30095 + 10.0811i) q^{29} +(-0.597963 + 0.749822i) q^{30} +(-0.157212 + 0.688790i) q^{31} +(-4.34057 + 2.09031i) q^{32} +(0.372410 + 0.466988i) q^{33} +(-0.421556 + 0.203011i) q^{34} +(-0.129887 + 0.162873i) q^{35} +4.74582 q^{36} -3.30551 q^{37} +(-0.924860 + 1.15974i) q^{38} +(0.492329 + 0.237093i) q^{39} +(-1.39327 - 6.10431i) q^{40} +(1.80556 - 7.91067i) q^{41} +0.0159506 q^{42} +(-3.93062 - 5.24883i) q^{43} -1.83687 q^{44} +(-2.09846 + 9.19397i) q^{45} +(-0.772089 - 3.38274i) q^{46} +(4.53602 + 2.18443i) q^{47} +(0.987385 - 1.23814i) q^{48} -6.99654 q^{49} +3.52126 q^{50} +(0.361099 - 0.452804i) q^{51} +(-1.51405 + 0.729130i) q^{52} +(1.54659 + 1.93936i) q^{53} +(1.38299 - 0.666014i) q^{54} +(0.812211 - 3.55853i) q^{55} +(-0.0649270 + 0.0814158i) q^{56} +(0.408572 - 1.79007i) q^{57} +(-4.35904 - 2.09920i) q^{58} +(5.58499 + 7.00335i) q^{59} +(2.27620 + 2.85427i) q^{60} +(2.87874 + 12.6126i) q^{61} +(-0.297831 - 0.143428i) q^{62} +(0.141310 - 0.0680513i) q^{63} +(0.715322 + 3.13403i) q^{64} +(-0.743057 - 3.25555i) q^{65} +(-0.251795 + 0.121258i) q^{66} +(8.90339 + 4.28765i) q^{67} +(0.396327 + 1.73642i) q^{68} +(2.67779 + 3.35784i) q^{69} +(-0.0607732 - 0.0762072i) q^{70} +(-3.28246 - 1.58075i) q^{71} +(-1.04896 + 4.59581i) q^{72} +(1.69384 - 2.12401i) q^{73} +(0.344156 - 1.50785i) q^{74} +(-3.92698 + 1.89113i) q^{75} +(3.52057 + 4.41466i) q^{76} +(-0.0546940 + 0.0263393i) q^{77} +(-0.159412 + 0.199896i) q^{78} +12.3199 q^{79} -9.67749 q^{80} +(3.79936 - 4.76425i) q^{81} +(3.42055 + 1.64725i) q^{82} +(-2.61454 - 11.4550i) q^{83} +(0.0135109 - 0.0591952i) q^{84} -3.53918 q^{85} +(2.80355 - 1.24651i) q^{86} +5.98870 q^{87} +(0.406002 - 1.77881i) q^{88} +(-2.77502 - 12.1581i) q^{89} +(-3.97545 - 1.91448i) q^{90} +(-0.0346268 + 0.0434207i) q^{91} -13.2079 q^{92} +0.409177 q^{93} +(-1.46872 + 1.84172i) q^{94} +(-10.1091 + 4.86830i) q^{95} +(1.73966 + 2.18146i) q^{96} +(-0.801582 + 0.386021i) q^{97} +(0.728450 - 3.19155i) q^{98} +(-1.71338 + 2.14851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104116 + 0.456161i −0.0736210 + 0.322555i −0.998306 0.0581778i \(-0.981471\pi\)
0.924685 + 0.380732i \(0.124328\pi\)
\(3\) −0.128875 0.564637i −0.0744058 0.325993i 0.924003 0.382386i \(-0.124897\pi\)
−0.998409 + 0.0563923i \(0.982040\pi\)
\(4\) 1.60469 + 0.772780i 0.802347 + 0.386390i
\(5\) −2.20664 + 2.76704i −0.986840 + 1.23746i −0.0154719 + 0.999880i \(0.504925\pi\)
−0.971368 + 0.237578i \(0.923646\pi\)
\(6\) 0.270983 0.110628
\(7\) 0.0588619 0.0222477 0.0111239 0.999938i \(-0.496459\pi\)
0.0111239 + 0.999938i \(0.496459\pi\)
\(8\) −1.10304 + 1.38317i −0.389983 + 0.489023i
\(9\) 2.40070 1.15612i 0.800234 0.385372i
\(10\) −1.03247 1.29468i −0.326496 0.409413i
\(11\) −0.929192 + 0.447475i −0.280162 + 0.134919i −0.568688 0.822553i \(-0.692549\pi\)
0.288526 + 0.957472i \(0.406835\pi\)
\(12\) 0.229536 1.00566i 0.0662612 0.290309i
\(13\) −0.588272 + 0.737670i −0.163157 + 0.204593i −0.856689 0.515833i \(-0.827482\pi\)
0.693532 + 0.720426i \(0.256054\pi\)
\(14\) −0.00612846 + 0.0268505i −0.00163790 + 0.00717610i
\(15\) 1.84675 + 0.889350i 0.476830 + 0.229629i
\(16\) 1.70486 + 2.13783i 0.426216 + 0.534458i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.277424 + 1.21548i 0.0653896 + 0.286490i
\(19\) 2.85635 + 1.37554i 0.655291 + 0.315571i 0.731822 0.681496i \(-0.238670\pi\)
−0.0765313 + 0.997067i \(0.524385\pi\)
\(20\) −5.67930 + 2.73501i −1.26993 + 0.611566i
\(21\) −0.00758581 0.0332356i −0.00165536 0.00725261i
\(22\) −0.107377 0.470450i −0.0228929 0.100300i
\(23\) −6.68129 + 3.21754i −1.39315 + 0.670903i −0.971759 0.235977i \(-0.924171\pi\)
−0.421387 + 0.906881i \(0.638457\pi\)
\(24\) 0.923140 + 0.444561i 0.188435 + 0.0907456i
\(25\) −1.67465 7.33710i −0.334929 1.46742i
\(26\) −0.275248 0.345150i −0.0539805 0.0676895i
\(27\) −2.04547 2.56494i −0.393651 0.493623i
\(28\) 0.0944555 + 0.0454874i 0.0178504 + 0.00859630i
\(29\) −2.30095 + 10.0811i −0.427275 + 1.87201i 0.0590809 + 0.998253i \(0.481183\pi\)
−0.486356 + 0.873761i \(0.661674\pi\)
\(30\) −0.597963 + 0.749822i −0.109173 + 0.136898i
\(31\) −0.157212 + 0.688790i −0.0282361 + 0.123710i −0.987082 0.160217i \(-0.948780\pi\)
0.958846 + 0.283928i \(0.0916376\pi\)
\(32\) −4.34057 + 2.09031i −0.767312 + 0.369518i
\(33\) 0.372410 + 0.466988i 0.0648283 + 0.0812921i
\(34\) −0.421556 + 0.203011i −0.0722963 + 0.0348161i
\(35\) −0.129887 + 0.162873i −0.0219549 + 0.0275306i
\(36\) 4.74582 0.790969
\(37\) −3.30551 −0.543423 −0.271711 0.962379i \(-0.587590\pi\)
−0.271711 + 0.962379i \(0.587590\pi\)
\(38\) −0.924860 + 1.15974i −0.150032 + 0.188134i
\(39\) 0.492329 + 0.237093i 0.0788357 + 0.0379653i
\(40\) −1.39327 6.10431i −0.220295 0.965175i
\(41\) 1.80556 7.91067i 0.281981 1.23544i −0.613269 0.789874i \(-0.710146\pi\)
0.895250 0.445565i \(-0.146997\pi\)
\(42\) 0.0159506 0.00246123
\(43\) −3.93062 5.24883i −0.599413 0.800440i
\(44\) −1.83687 −0.276919
\(45\) −2.09846 + 9.19397i −0.312821 + 1.37056i
\(46\) −0.772089 3.38274i −0.113838 0.498758i
\(47\) 4.53602 + 2.18443i 0.661646 + 0.318632i 0.734399 0.678718i \(-0.237464\pi\)
−0.0727528 + 0.997350i \(0.523178\pi\)
\(48\) 0.987385 1.23814i 0.142517 0.178710i
\(49\) −6.99654 −0.999505
\(50\) 3.52126 0.497981
\(51\) 0.361099 0.452804i 0.0505639 0.0634052i
\(52\) −1.51405 + 0.729130i −0.209962 + 0.101112i
\(53\) 1.54659 + 1.93936i 0.212440 + 0.266392i 0.876622 0.481179i \(-0.159791\pi\)
−0.664182 + 0.747571i \(0.731220\pi\)
\(54\) 1.38299 0.666014i 0.188201 0.0906330i
\(55\) 0.812211 3.55853i 0.109519 0.479832i
\(56\) −0.0649270 + 0.0814158i −0.00867623 + 0.0108797i
\(57\) 0.408572 1.79007i 0.0541167 0.237101i
\(58\) −4.35904 2.09920i −0.572370 0.275639i
\(59\) 5.58499 + 7.00335i 0.727104 + 0.911759i 0.998717 0.0506476i \(-0.0161285\pi\)
−0.271613 + 0.962407i \(0.587557\pi\)
\(60\) 2.27620 + 2.85427i 0.293857 + 0.368485i
\(61\) 2.87874 + 12.6126i 0.368585 + 1.61488i 0.730670 + 0.682731i \(0.239208\pi\)
−0.362085 + 0.932145i \(0.617935\pi\)
\(62\) −0.297831 0.143428i −0.0378246 0.0182154i
\(63\) 0.141310 0.0680513i 0.0178034 0.00857365i
\(64\) 0.715322 + 3.13403i 0.0894153 + 0.391754i
\(65\) −0.743057 3.25555i −0.0921649 0.403801i
\(66\) −0.251795 + 0.121258i −0.0309939 + 0.0149259i
\(67\) 8.90339 + 4.28765i 1.08772 + 0.523820i 0.889778 0.456394i \(-0.150859\pi\)
0.197945 + 0.980213i \(0.436573\pi\)
\(68\) 0.396327 + 1.73642i 0.0480617 + 0.210572i
\(69\) 2.67779 + 3.35784i 0.322368 + 0.404237i
\(70\) −0.0607732 0.0762072i −0.00726379 0.00910850i
\(71\) −3.28246 1.58075i −0.389556 0.187600i 0.228845 0.973463i \(-0.426505\pi\)
−0.618401 + 0.785863i \(0.712219\pi\)
\(72\) −1.04896 + 4.59581i −0.123622 + 0.541621i
\(73\) 1.69384 2.12401i 0.198249 0.248596i −0.672763 0.739858i \(-0.734893\pi\)
0.871012 + 0.491262i \(0.163464\pi\)
\(74\) 0.344156 1.50785i 0.0400073 0.175284i
\(75\) −3.92698 + 1.89113i −0.453448 + 0.218369i
\(76\) 3.52057 + 4.41466i 0.403837 + 0.506396i
\(77\) −0.0546940 + 0.0263393i −0.00623296 + 0.00300164i
\(78\) −0.159412 + 0.199896i −0.0180498 + 0.0226338i
\(79\) 12.3199 1.38609 0.693047 0.720892i \(-0.256268\pi\)
0.693047 + 0.720892i \(0.256268\pi\)
\(80\) −9.67749 −1.08198
\(81\) 3.79936 4.76425i 0.422151 0.529361i
\(82\) 3.42055 + 1.64725i 0.377737 + 0.181908i
\(83\) −2.61454 11.4550i −0.286983 1.25735i −0.888643 0.458600i \(-0.848351\pi\)
0.601660 0.798752i \(-0.294506\pi\)
\(84\) 0.0135109 0.0591952i 0.00147416 0.00645873i
\(85\) −3.53918 −0.383878
\(86\) 2.80355 1.24651i 0.302315 0.134414i
\(87\) 5.98870 0.642056
\(88\) 0.406002 1.77881i 0.0432799 0.189622i
\(89\) −2.77502 12.1581i −0.294151 1.28876i −0.878689 0.477394i \(-0.841581\pi\)
0.584538 0.811366i \(-0.301276\pi\)
\(90\) −3.97545 1.91448i −0.419049 0.201803i
\(91\) −0.0346268 + 0.0434207i −0.00362988 + 0.00455172i
\(92\) −13.2079 −1.37702
\(93\) 0.409177 0.0424297
\(94\) −1.46872 + 1.84172i −0.151487 + 0.189959i
\(95\) −10.1091 + 4.86830i −1.03717 + 0.499477i
\(96\) 1.73966 + 2.18146i 0.177553 + 0.222644i
\(97\) −0.801582 + 0.386021i −0.0813883 + 0.0391945i −0.474135 0.880452i \(-0.657239\pi\)
0.392747 + 0.919647i \(0.371525\pi\)
\(98\) 0.728450 3.19155i 0.0735845 0.322395i
\(99\) −1.71338 + 2.14851i −0.172201 + 0.215933i
\(100\) 2.98267 13.0679i 0.298267 1.30679i
\(101\) 12.4063 + 5.97454i 1.23447 + 0.594489i 0.933305 0.359083i \(-0.116911\pi\)
0.301164 + 0.953572i \(0.402625\pi\)
\(102\) 0.168955 + 0.211863i 0.0167291 + 0.0209776i
\(103\) −7.55170 9.46953i −0.744091 0.933061i 0.255338 0.966852i \(-0.417813\pi\)
−0.999429 + 0.0337910i \(0.989242\pi\)
\(104\) −0.371433 1.62736i −0.0364220 0.159575i
\(105\) 0.108704 + 0.0523488i 0.0106084 + 0.00510872i
\(106\) −1.04569 + 0.503576i −0.101566 + 0.0489116i
\(107\) 2.10621 + 9.22790i 0.203615 + 0.892095i 0.968713 + 0.248182i \(0.0798331\pi\)
−0.765099 + 0.643913i \(0.777310\pi\)
\(108\) −1.30022 5.69665i −0.125114 0.548160i
\(109\) 15.9719 7.69164i 1.52983 0.736725i 0.535645 0.844443i \(-0.320069\pi\)
0.994181 + 0.107718i \(0.0343544\pi\)
\(110\) 1.53870 + 0.740998i 0.146709 + 0.0706514i
\(111\) 0.425997 + 1.86641i 0.0404338 + 0.177152i
\(112\) 0.100352 + 0.125837i 0.00948233 + 0.0118905i
\(113\) 12.0971 + 15.1692i 1.13800 + 1.42700i 0.888650 + 0.458587i \(0.151644\pi\)
0.249346 + 0.968414i \(0.419784\pi\)
\(114\) 0.774022 + 0.372749i 0.0724938 + 0.0349112i
\(115\) 5.84015 25.5874i 0.544597 2.38603i
\(116\) −11.4828 + 14.3990i −1.06615 + 1.33691i
\(117\) −0.559433 + 2.45104i −0.0517196 + 0.226598i
\(118\) −3.77614 + 1.81849i −0.347622 + 0.167406i
\(119\) 0.0366998 + 0.0460201i 0.00336427 + 0.00421866i
\(120\) −3.26716 + 1.57338i −0.298249 + 0.143629i
\(121\) −6.19522 + 7.76857i −0.563202 + 0.706233i
\(122\) −6.05309 −0.548021
\(123\) −4.69934 −0.423726
\(124\) −0.784561 + 0.983808i −0.0704556 + 0.0883486i
\(125\) 8.05395 + 3.87858i 0.720368 + 0.346911i
\(126\) 0.0163297 + 0.0715453i 0.00145477 + 0.00637376i
\(127\) 2.03176 8.90173i 0.180290 0.789900i −0.801202 0.598394i \(-0.795806\pi\)
0.981491 0.191506i \(-0.0613372\pi\)
\(128\) −11.1394 −0.984597
\(129\) −2.45713 + 2.89581i −0.216338 + 0.254962i
\(130\) 1.56242 0.137033
\(131\) 3.05526 13.3860i 0.266940 1.16954i −0.646613 0.762818i \(-0.723815\pi\)
0.913553 0.406721i \(-0.133328\pi\)
\(132\) 0.236726 + 1.03716i 0.0206043 + 0.0902735i
\(133\) 0.168130 + 0.0809672i 0.0145787 + 0.00702074i
\(134\) −2.88284 + 3.61497i −0.249040 + 0.312286i
\(135\) 11.6109 0.999309
\(136\) −1.76914 −0.151702
\(137\) −0.177470 + 0.222540i −0.0151623 + 0.0190129i −0.789355 0.613937i \(-0.789585\pi\)
0.774193 + 0.632950i \(0.218156\pi\)
\(138\) −1.81052 + 0.871899i −0.154121 + 0.0742210i
\(139\) −8.73729 10.9562i −0.741087 0.929294i 0.258236 0.966082i \(-0.416859\pi\)
−0.999323 + 0.0367880i \(0.988287\pi\)
\(140\) −0.334295 + 0.160988i −0.0282531 + 0.0136060i
\(141\) 0.648832 2.84272i 0.0546415 0.239400i
\(142\) 1.06283 1.33275i 0.0891908 0.111842i
\(143\) 0.216529 0.948674i 0.0181070 0.0793321i
\(144\) 6.56445 + 3.16127i 0.547038 + 0.263439i
\(145\) −22.8175 28.6122i −1.89489 2.37611i
\(146\) 0.792534 + 0.993806i 0.0655905 + 0.0822479i
\(147\) 0.901676 + 3.95050i 0.0743690 + 0.325832i
\(148\) −5.30434 2.55443i −0.436014 0.209973i
\(149\) −9.46072 + 4.55604i −0.775052 + 0.373246i −0.779224 0.626746i \(-0.784386\pi\)
0.00417149 + 0.999991i \(0.498672\pi\)
\(150\) −0.453801 1.98823i −0.0370527 0.162338i
\(151\) 1.67058 + 7.31930i 0.135950 + 0.595636i 0.996301 + 0.0859339i \(0.0273874\pi\)
−0.860351 + 0.509702i \(0.829755\pi\)
\(152\) −5.05326 + 2.43352i −0.409874 + 0.197385i
\(153\) 2.40070 + 1.15612i 0.194085 + 0.0934665i
\(154\) −0.00632043 0.0276916i −0.000509315 0.00223145i
\(155\) −1.55900 1.95493i −0.125222 0.157023i
\(156\) 0.606817 + 0.760924i 0.0485842 + 0.0609227i
\(157\) 19.4352 + 9.35951i 1.55110 + 0.746970i 0.996375 0.0850647i \(-0.0271097\pi\)
0.554724 + 0.832035i \(0.312824\pi\)
\(158\) −1.28269 + 5.61985i −0.102046 + 0.447091i
\(159\) 0.895719 1.12320i 0.0710351 0.0890752i
\(160\) 3.79412 16.6231i 0.299951 1.31417i
\(161\) −0.393274 + 0.189391i −0.0309943 + 0.0149261i
\(162\) 1.77769 + 2.22915i 0.139669 + 0.175139i
\(163\) 16.1006 7.75362i 1.26109 0.607310i 0.320629 0.947205i \(-0.396106\pi\)
0.940464 + 0.339894i \(0.110391\pi\)
\(164\) 9.01058 11.2989i 0.703608 0.882297i
\(165\) −2.11395 −0.164571
\(166\) 5.49755 0.426693
\(167\) 12.5731 15.7662i 0.972935 1.22002i −0.00255962 0.999997i \(-0.500815\pi\)
0.975494 0.220025i \(-0.0706138\pi\)
\(168\) 0.0543378 + 0.0261677i 0.00419225 + 0.00201888i
\(169\) 2.69468 + 11.8062i 0.207283 + 0.908166i
\(170\) 0.368484 1.61444i 0.0282615 0.123822i
\(171\) 8.44752 0.645998
\(172\) −2.25124 11.4603i −0.171656 0.873838i
\(173\) −6.44320 −0.489867 −0.244934 0.969540i \(-0.578766\pi\)
−0.244934 + 0.969540i \(0.578766\pi\)
\(174\) −0.623518 + 2.73181i −0.0472688 + 0.207098i
\(175\) −0.0985729 0.431876i −0.00745141 0.0326468i
\(176\) −2.54077 1.22357i −0.191518 0.0922302i
\(177\) 3.23459 4.05604i 0.243126 0.304871i
\(178\) 5.83499 0.437351
\(179\) 21.3548 1.59613 0.798067 0.602569i \(-0.205856\pi\)
0.798067 + 0.602569i \(0.205856\pi\)
\(180\) −10.4723 + 13.1319i −0.780560 + 0.978792i
\(181\) 0.555537 0.267533i 0.0412928 0.0198855i −0.413123 0.910675i \(-0.635562\pi\)
0.454416 + 0.890789i \(0.349848\pi\)
\(182\) −0.0162016 0.0203162i −0.00120094 0.00150594i
\(183\) 6.75053 3.25089i 0.499014 0.240312i
\(184\) 2.91933 12.7904i 0.215216 0.942921i
\(185\) 7.29408 9.14649i 0.536272 0.672463i
\(186\) −0.0426018 + 0.186651i −0.00312371 + 0.0136859i
\(187\) −0.929192 0.447475i −0.0679492 0.0327226i
\(188\) 5.59084 + 7.01069i 0.407754 + 0.511307i
\(189\) −0.120400 0.150977i −0.00875784 0.0109820i
\(190\) −1.16821 5.11825i −0.0847507 0.371317i
\(191\) −13.8688 6.67886i −1.00351 0.483265i −0.141382 0.989955i \(-0.545155\pi\)
−0.862129 + 0.506690i \(0.830869\pi\)
\(192\) 1.67740 0.807794i 0.121056 0.0582975i
\(193\) 1.48176 + 6.49202i 0.106660 + 0.467306i 0.999845 + 0.0176171i \(0.00560798\pi\)
−0.893185 + 0.449689i \(0.851535\pi\)
\(194\) −0.0926306 0.405841i −0.00665049 0.0291377i
\(195\) −1.74244 + 0.839115i −0.124779 + 0.0600903i
\(196\) −11.2273 5.40679i −0.801950 0.386199i
\(197\) −5.68420 24.9041i −0.404983 1.77435i −0.606730 0.794908i \(-0.707519\pi\)
0.201747 0.979438i \(-0.435338\pi\)
\(198\) −0.801676 1.00527i −0.0569726 0.0714414i
\(199\) −0.913043 1.14492i −0.0647239 0.0811612i 0.748416 0.663230i \(-0.230815\pi\)
−0.813140 + 0.582069i \(0.802243\pi\)
\(200\) 11.9956 + 5.77679i 0.848219 + 0.408481i
\(201\) 1.27354 5.57975i 0.0898287 0.393565i
\(202\) −4.01704 + 5.03721i −0.282638 + 0.354417i
\(203\) −0.135438 + 0.593393i −0.00950590 + 0.0416480i
\(204\) 0.929371 0.447562i 0.0650690 0.0313356i
\(205\) 17.9049 + 22.4521i 1.25053 + 1.56812i
\(206\) 5.10588 2.45886i 0.355744 0.171317i
\(207\) −12.3199 + 15.4487i −0.856294 + 1.07376i
\(208\) −2.57994 −0.178886
\(209\) −3.26961 −0.226164
\(210\) −0.0351973 + 0.0441360i −0.00242884 + 0.00304567i
\(211\) 6.47125 + 3.11639i 0.445499 + 0.214541i 0.643164 0.765729i \(-0.277621\pi\)
−0.197665 + 0.980270i \(0.563336\pi\)
\(212\) 0.983103 + 4.30726i 0.0675198 + 0.295824i
\(213\) −0.469523 + 2.05711i −0.0321712 + 0.140951i
\(214\) −4.42870 −0.302740
\(215\) 23.1972 + 0.706118i 1.58204 + 0.0481568i
\(216\) 5.80397 0.394910
\(217\) −0.00925380 + 0.0405435i −0.000628189 + 0.00275227i
\(218\) 1.84570 + 8.08656i 0.125007 + 0.547691i
\(219\) −1.41758 0.682673i −0.0957915 0.0461308i
\(220\) 4.05331 5.08269i 0.273274 0.342675i
\(221\) −0.943515 −0.0634677
\(222\) −0.895738 −0.0601180
\(223\) 1.66757 2.09106i 0.111668 0.140028i −0.722856 0.690999i \(-0.757171\pi\)
0.834524 + 0.550971i \(0.185742\pi\)
\(224\) −0.255494 + 0.123040i −0.0170709 + 0.00822093i
\(225\) −12.5029 15.6781i −0.833524 1.04521i
\(226\) −8.17911 + 3.93885i −0.544066 + 0.262008i
\(227\) 1.90071 8.32756i 0.126155 0.552719i −0.871861 0.489753i \(-0.837087\pi\)
0.998016 0.0629660i \(-0.0200560\pi\)
\(228\) 2.03896 2.55678i 0.135034 0.169327i
\(229\) 2.70956 11.8714i 0.179053 0.784482i −0.803016 0.595958i \(-0.796773\pi\)
0.982069 0.188524i \(-0.0603703\pi\)
\(230\) 11.0639 + 5.32810i 0.729533 + 0.351324i
\(231\) 0.0219208 + 0.0274878i 0.00144228 + 0.00180856i
\(232\) −11.4058 14.3024i −0.748828 0.939001i
\(233\) 4.11316 + 18.0209i 0.269462 + 1.18059i 0.910641 + 0.413198i \(0.135588\pi\)
−0.641179 + 0.767391i \(0.721554\pi\)
\(234\) −1.05982 0.510383i −0.0692827 0.0333648i
\(235\) −16.0538 + 7.73109i −1.04723 + 0.504321i
\(236\) 3.55015 + 15.5542i 0.231095 + 1.01249i
\(237\) −1.58772 6.95626i −0.103133 0.451857i
\(238\) −0.0248136 + 0.0119496i −0.00160843 + 0.000774578i
\(239\) 14.6031 + 7.03248i 0.944596 + 0.454894i 0.841788 0.539808i \(-0.181503\pi\)
0.102808 + 0.994701i \(0.467217\pi\)
\(240\) 1.24718 + 5.46427i 0.0805054 + 0.352717i
\(241\) 5.16124 + 6.47199i 0.332465 + 0.416897i 0.919764 0.392473i \(-0.128380\pi\)
−0.587299 + 0.809370i \(0.699809\pi\)
\(242\) −2.89870 3.63485i −0.186335 0.233657i
\(243\) −12.0471 5.80157i −0.772821 0.372171i
\(244\) −5.12726 + 22.4640i −0.328239 + 1.43811i
\(245\) 15.4388 19.3597i 0.986352 1.23685i
\(246\) 0.489276 2.14366i 0.0311951 0.136675i
\(247\) −2.69501 + 1.29785i −0.171479 + 0.0825800i
\(248\) −0.779301 0.977212i −0.0494857 0.0620530i
\(249\) −6.13098 + 2.95253i −0.388535 + 0.187109i
\(250\) −2.60780 + 3.27008i −0.164932 + 0.206818i
\(251\) 15.2616 0.963307 0.481653 0.876362i \(-0.340036\pi\)
0.481653 + 0.876362i \(0.340036\pi\)
\(252\) 0.279348 0.0175973
\(253\) 4.76843 5.97942i 0.299789 0.375923i
\(254\) 3.84908 + 1.85362i 0.241513 + 0.116306i
\(255\) 0.456110 + 1.99835i 0.0285627 + 0.125142i
\(256\) −0.270853 + 1.18668i −0.0169283 + 0.0741677i
\(257\) 1.16632 0.0727528 0.0363764 0.999338i \(-0.488418\pi\)
0.0363764 + 0.999338i \(0.488418\pi\)
\(258\) −1.06513 1.42235i −0.0663122 0.0885514i
\(259\) −0.194569 −0.0120899
\(260\) 1.32344 5.79838i 0.0820764 0.359600i
\(261\) 6.13105 + 26.8619i 0.379502 + 1.66271i
\(262\) 5.78806 + 2.78738i 0.357588 + 0.172205i
\(263\) −7.09558 + 8.89757i −0.437532 + 0.548648i −0.950891 0.309526i \(-0.899830\pi\)
0.513359 + 0.858174i \(0.328401\pi\)
\(264\) −1.05670 −0.0650357
\(265\) −8.77906 −0.539294
\(266\) −0.0544391 + 0.0682644i −0.00333787 + 0.00418556i
\(267\) −6.50730 + 3.13375i −0.398240 + 0.191782i
\(268\) 10.9738 + 13.7607i 0.670333 + 0.840571i
\(269\) 6.43083 3.09693i 0.392095 0.188823i −0.227440 0.973792i \(-0.573036\pi\)
0.619535 + 0.784969i \(0.287321\pi\)
\(270\) −1.20888 + 5.29645i −0.0735701 + 0.322332i
\(271\) 15.4121 19.3262i 0.936218 1.17398i −0.0483242 0.998832i \(-0.515388\pi\)
0.984542 0.175148i \(-0.0560405\pi\)
\(272\) −0.608459 + 2.66583i −0.0368932 + 0.161640i
\(273\) 0.0289794 + 0.0139558i 0.00175392 + 0.000844641i
\(274\) −0.0830368 0.104125i −0.00501644 0.00629041i
\(275\) 4.83924 + 6.06821i 0.291817 + 0.365927i
\(276\) 1.70216 + 7.45766i 0.102458 + 0.448898i
\(277\) −26.8397 12.9253i −1.61264 0.776607i −0.612735 0.790289i \(-0.709931\pi\)
−0.999906 + 0.0136816i \(0.995645\pi\)
\(278\) 5.90749 2.84490i 0.354308 0.170626i
\(279\) 0.418903 + 1.83533i 0.0250791 + 0.109879i
\(280\) −0.0820104 0.359311i −0.00490106 0.0214730i
\(281\) −29.1314 + 14.0289i −1.73783 + 0.836896i −0.754214 + 0.656628i \(0.771982\pi\)
−0.983618 + 0.180267i \(0.942304\pi\)
\(282\) 1.22918 + 0.591944i 0.0731969 + 0.0352498i
\(283\) 2.27544 + 9.96937i 0.135261 + 0.592618i 0.996439 + 0.0843143i \(0.0268700\pi\)
−0.861178 + 0.508303i \(0.830273\pi\)
\(284\) −4.04577 5.07324i −0.240072 0.301041i
\(285\) 4.05163 + 5.08058i 0.239998 + 0.300948i
\(286\) 0.410204 + 0.197544i 0.0242559 + 0.0116810i
\(287\) 0.106279 0.465637i 0.00627343 0.0274857i
\(288\) −8.00377 + 10.0364i −0.471627 + 0.591401i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 15.4274 7.42946i 0.905930 0.436273i
\(291\) 0.321265 + 0.402854i 0.0188329 + 0.0236157i
\(292\) 4.35948 2.09942i 0.255120 0.122859i
\(293\) −12.5911 + 15.7887i −0.735579 + 0.922387i −0.999106 0.0422652i \(-0.986543\pi\)
0.263528 + 0.964652i \(0.415114\pi\)
\(294\) −1.89594 −0.110574
\(295\) −31.7026 −1.84580
\(296\) 3.64611 4.57207i 0.211926 0.265746i
\(297\) 3.04838 + 1.46802i 0.176885 + 0.0851834i
\(298\) −1.09328 4.78997i −0.0633319 0.277475i
\(299\) 1.55693 6.82138i 0.0900398 0.394490i
\(300\) −7.76303 −0.448199
\(301\) −0.231364 0.308957i −0.0133356 0.0178080i
\(302\) −3.51271 −0.202134
\(303\) 1.77459 7.77500i 0.101948 0.446662i
\(304\) 1.92900 + 8.45150i 0.110636 + 0.484727i
\(305\) −41.2519 19.8659i −2.36208 1.13752i
\(306\) −0.777326 + 0.974736i −0.0444368 + 0.0557220i
\(307\) −9.78098 −0.558230 −0.279115 0.960258i \(-0.590041\pi\)
−0.279115 + 0.960258i \(0.590041\pi\)
\(308\) −0.108122 −0.00616081
\(309\) −4.37362 + 5.48435i −0.248807 + 0.311994i
\(310\) 1.05408 0.507617i 0.0598676 0.0288307i
\(311\) −3.30124 4.13963i −0.187196 0.234737i 0.679373 0.733793i \(-0.262252\pi\)
−0.866570 + 0.499056i \(0.833680\pi\)
\(312\) −0.870997 + 0.419450i −0.0493105 + 0.0237467i
\(313\) −1.44453 + 6.32892i −0.0816499 + 0.357732i −0.999205 0.0398780i \(-0.987303\pi\)
0.917555 + 0.397610i \(0.130160\pi\)
\(314\) −6.29295 + 7.89112i −0.355132 + 0.445321i
\(315\) −0.123520 + 0.541175i −0.00695955 + 0.0304918i
\(316\) 19.7696 + 9.52056i 1.11213 + 0.535573i
\(317\) −8.08627 10.1399i −0.454170 0.569512i 0.501046 0.865421i \(-0.332949\pi\)
−0.955216 + 0.295909i \(0.904377\pi\)
\(318\) 0.419100 + 0.525534i 0.0235019 + 0.0294705i
\(319\) −2.37302 10.3969i −0.132864 0.582114i
\(320\) −10.2505 4.93636i −0.573018 0.275951i
\(321\) 4.93898 2.37849i 0.275667 0.132754i
\(322\) −0.0454466 0.199115i −0.00253264 0.0110962i
\(323\) 0.705459 + 3.09082i 0.0392528 + 0.171978i
\(324\) 9.77853 4.70909i 0.543252 0.261616i
\(325\) 6.39750 + 3.08088i 0.354870 + 0.170896i
\(326\) 1.86058 + 8.15172i 0.103048 + 0.451482i
\(327\) −6.40135 8.02704i −0.353995 0.443896i
\(328\) 8.95017 + 11.2232i 0.494190 + 0.619695i
\(329\) 0.266999 + 0.128580i 0.0147201 + 0.00708884i
\(330\) 0.220096 0.964302i 0.0121159 0.0530831i
\(331\) −10.0529 + 12.6059i −0.552558 + 0.692885i −0.977162 0.212494i \(-0.931842\pi\)
0.424605 + 0.905379i \(0.360413\pi\)
\(332\) 4.65669 20.4023i 0.255569 1.11972i
\(333\) −7.93554 + 3.82156i −0.434865 + 0.209420i
\(334\) 5.88285 + 7.37686i 0.321895 + 0.403644i
\(335\) −31.5107 + 15.1748i −1.72161 + 0.829085i
\(336\) 0.0581194 0.0728794i 0.00317067 0.00397590i
\(337\) −12.6006 −0.686396 −0.343198 0.939263i \(-0.611510\pi\)
−0.343198 + 0.939263i \(0.611510\pi\)
\(338\) −5.66607 −0.308194
\(339\) 7.00610 8.78537i 0.380519 0.477156i
\(340\) −5.67930 2.73501i −0.308003 0.148327i
\(341\) −0.162137 0.710367i −0.00878019 0.0384685i
\(342\) −0.879520 + 3.85343i −0.0475590 + 0.208370i
\(343\) −0.823863 −0.0444844
\(344\) 11.5956 + 0.352968i 0.625194 + 0.0190308i
\(345\) −15.2002 −0.818352
\(346\) 0.670839 2.93914i 0.0360645 0.158009i
\(347\) 7.23799 + 31.7117i 0.388556 + 1.70237i 0.669636 + 0.742690i \(0.266450\pi\)
−0.281080 + 0.959684i \(0.590693\pi\)
\(348\) 9.61003 + 4.62795i 0.515152 + 0.248084i
\(349\) −10.0170 + 12.5610i −0.536200 + 0.672374i −0.973960 0.226718i \(-0.927200\pi\)
0.437760 + 0.899092i \(0.355772\pi\)
\(350\) 0.207268 0.0110789
\(351\) 3.09537 0.165219
\(352\) 3.09786 3.88460i 0.165117 0.207050i
\(353\) −1.97846 + 0.952776i −0.105303 + 0.0507111i −0.485794 0.874074i \(-0.661469\pi\)
0.380491 + 0.924785i \(0.375755\pi\)
\(354\) 1.51344 + 1.89779i 0.0804383 + 0.100866i
\(355\) 11.6172 5.59455i 0.616577 0.296928i
\(356\) 4.94252 21.6546i 0.261953 1.14769i
\(357\) 0.0212550 0.0266529i 0.00112493 0.00141062i
\(358\) −2.22337 + 9.74124i −0.117509 + 0.514840i
\(359\) 22.3741 + 10.7748i 1.18086 + 0.568672i 0.918162 0.396206i \(-0.129673\pi\)
0.262698 + 0.964878i \(0.415388\pi\)
\(360\) −10.4021 13.0438i −0.548239 0.687470i
\(361\) −5.57972 6.99674i −0.293669 0.368250i
\(362\) 0.0641978 + 0.281269i 0.00337416 + 0.0147832i
\(363\) 5.18483 + 2.49688i 0.272133 + 0.131052i
\(364\) −0.0891202 + 0.0429180i −0.00467117 + 0.00224951i
\(365\) 2.13952 + 9.37384i 0.111988 + 0.490649i
\(366\) 0.780090 + 3.41780i 0.0407760 + 0.178651i
\(367\) −13.0344 + 6.27705i −0.680392 + 0.327659i −0.741961 0.670443i \(-0.766104\pi\)
0.0615689 + 0.998103i \(0.480390\pi\)
\(368\) −18.2693 8.79801i −0.952350 0.458628i
\(369\) −4.81105 21.0786i −0.250453 1.09731i
\(370\) 3.41284 + 4.27957i 0.177425 + 0.222484i
\(371\) 0.0910353 + 0.114155i 0.00472631 + 0.00592661i
\(372\) 0.656604 + 0.316204i 0.0340433 + 0.0163944i
\(373\) −3.18301 + 13.9457i −0.164810 + 0.722081i 0.823208 + 0.567741i \(0.192182\pi\)
−0.988018 + 0.154340i \(0.950675\pi\)
\(374\) 0.300864 0.377272i 0.0155573 0.0195083i
\(375\) 1.15204 5.04741i 0.0594910 0.260647i
\(376\) −8.02483 + 3.86456i −0.413849 + 0.199299i
\(377\) −6.08294 7.62777i −0.313288 0.392850i
\(378\) 0.0814056 0.0392029i 0.00418705 0.00201638i
\(379\) −3.83499 + 4.80893i −0.196990 + 0.247018i −0.870509 0.492152i \(-0.836211\pi\)
0.673519 + 0.739170i \(0.264782\pi\)
\(380\) −19.9842 −1.02517
\(381\) −5.28808 −0.270917
\(382\) 4.49060 5.63103i 0.229759 0.288109i
\(383\) −8.46022 4.07423i −0.432297 0.208183i 0.205064 0.978749i \(-0.434260\pi\)
−0.637361 + 0.770565i \(0.719974\pi\)
\(384\) 1.43559 + 6.28974i 0.0732597 + 0.320972i
\(385\) 0.0478083 0.209462i 0.00243654 0.0106752i
\(386\) −3.11568 −0.158584
\(387\) −15.5045 8.05663i −0.788138 0.409541i
\(388\) −1.58460 −0.0804461
\(389\) 2.98527 13.0793i 0.151359 0.663149i −0.841131 0.540831i \(-0.818110\pi\)
0.992491 0.122318i \(-0.0390329\pi\)
\(390\) −0.201356 0.882198i −0.0101961 0.0446718i
\(391\) −6.68129 3.21754i −0.337887 0.162718i
\(392\) 7.71745 9.67737i 0.389790 0.488781i
\(393\) −7.95197 −0.401124
\(394\) 11.9521 0.602139
\(395\) −27.1856 + 34.0896i −1.36785 + 1.71523i
\(396\) −4.40977 + 2.12364i −0.221599 + 0.106717i
\(397\) 3.47732 + 4.36042i 0.174522 + 0.218843i 0.861397 0.507932i \(-0.169590\pi\)
−0.686876 + 0.726775i \(0.741018\pi\)
\(398\) 0.617330 0.297290i 0.0309439 0.0149018i
\(399\) 0.0240493 0.105367i 0.00120397 0.00527495i
\(400\) 12.8304 16.0889i 0.641522 0.804443i
\(401\) 6.37487 27.9301i 0.318346 1.39476i −0.522108 0.852880i \(-0.674854\pi\)
0.840453 0.541884i \(-0.182289\pi\)
\(402\) 2.41267 + 1.16188i 0.120333 + 0.0579493i
\(403\) −0.415617 0.521167i −0.0207033 0.0259612i
\(404\) 15.2913 + 19.1746i 0.760768 + 0.953973i
\(405\) 4.79904 + 21.0260i 0.238466 + 1.04479i
\(406\) −0.256582 0.123563i −0.0127339 0.00613234i
\(407\) 3.07145 1.47913i 0.152246 0.0733180i
\(408\) 0.227997 + 0.998919i 0.0112875 + 0.0494539i
\(409\) −5.90427 25.8683i −0.291947 1.27911i −0.881811 0.471603i \(-0.843676\pi\)
0.589864 0.807503i \(-0.299181\pi\)
\(410\) −12.1059 + 5.82992i −0.597870 + 0.287919i
\(411\) 0.148526 + 0.0715263i 0.00732624 + 0.00352813i
\(412\) −4.80031 21.0315i −0.236494 1.03615i
\(413\) 0.328743 + 0.412231i 0.0161764 + 0.0202846i
\(414\) −5.76440 7.22832i −0.283305 0.355253i
\(415\) 37.4659 + 18.0426i 1.83913 + 0.885677i
\(416\) 1.01148 4.43158i 0.0495918 0.217276i
\(417\) −5.06027 + 6.34537i −0.247802 + 0.310734i
\(418\) 0.340419 1.49147i 0.0166504 0.0729502i
\(419\) −11.5050 + 5.54053i −0.562058 + 0.270673i −0.693266 0.720682i \(-0.743829\pi\)
0.131208 + 0.991355i \(0.458114\pi\)
\(420\) 0.133982 + 0.168008i 0.00653764 + 0.00819794i
\(421\) 2.88359 1.38866i 0.140538 0.0676793i −0.362293 0.932064i \(-0.618006\pi\)
0.502831 + 0.864385i \(0.332292\pi\)
\(422\) −2.09533 + 2.62747i −0.101999 + 0.127903i
\(423\) 13.4151 0.652263
\(424\) −4.38841 −0.213120
\(425\) 4.69225 5.88390i 0.227608 0.285411i
\(426\) −0.889490 0.428356i −0.0430960 0.0207539i
\(427\) 0.169448 + 0.742401i 0.00820018 + 0.0359273i
\(428\) −3.75132 + 16.4356i −0.181327 + 0.794445i
\(429\) −0.563561 −0.0272090
\(430\) −2.73730 + 10.5081i −0.132004 + 0.506748i
\(431\) 2.96238 0.142693 0.0713465 0.997452i \(-0.477270\pi\)
0.0713465 + 0.997452i \(0.477270\pi\)
\(432\) 1.99616 8.74575i 0.0960403 0.420780i
\(433\) −2.91930 12.7903i −0.140293 0.614662i −0.995366 0.0961558i \(-0.969345\pi\)
0.855074 0.518507i \(-0.173512\pi\)
\(434\) −0.0175309 0.00844244i −0.000841511 0.000405250i
\(435\) −13.2149 + 16.5710i −0.633606 + 0.794517i
\(436\) 31.5739 1.51212
\(437\) −23.5099 −1.12463
\(438\) 0.459002 0.575570i 0.0219320 0.0275018i
\(439\) 7.74345 3.72905i 0.369575 0.177978i −0.239872 0.970804i \(-0.577106\pi\)
0.609447 + 0.792827i \(0.291391\pi\)
\(440\) 4.02614 + 5.04862i 0.191939 + 0.240683i
\(441\) −16.7966 + 8.08881i −0.799837 + 0.385181i
\(442\) 0.0982348 0.430395i 0.00467255 0.0204718i
\(443\) 16.1031 20.1926i 0.765079 0.959379i −0.234840 0.972034i \(-0.575457\pi\)
0.999920 + 0.0126546i \(0.00402819\pi\)
\(444\) −0.758733 + 3.32423i −0.0360079 + 0.157761i
\(445\) 39.7655 + 19.1501i 1.88507 + 0.907801i
\(446\) 0.780241 + 0.978391i 0.0369455 + 0.0463281i
\(447\) 3.79176 + 4.75471i 0.179344 + 0.224890i
\(448\) 0.0421053 + 0.184475i 0.00198929 + 0.00871563i
\(449\) 24.3576 + 11.7300i 1.14951 + 0.553573i 0.908886 0.417046i \(-0.136934\pi\)
0.240621 + 0.970619i \(0.422649\pi\)
\(450\) 8.45348 4.07098i 0.398501 0.191908i
\(451\) 1.86212 + 8.15847i 0.0876837 + 0.384167i
\(452\) 7.68960 + 33.6904i 0.361689 + 1.58466i
\(453\) 3.91745 1.88655i 0.184058 0.0886376i
\(454\) 3.60081 + 1.73406i 0.168994 + 0.0813835i
\(455\) −0.0437378 0.191628i −0.00205046 0.00898365i
\(456\) 2.02529 + 2.53964i 0.0948431 + 0.118930i
\(457\) 10.5117 + 13.1812i 0.491715 + 0.616592i 0.964338 0.264673i \(-0.0852641\pi\)
−0.472623 + 0.881265i \(0.656693\pi\)
\(458\) 5.13314 + 2.47199i 0.239856 + 0.115509i
\(459\) 0.730020 3.19843i 0.0340744 0.149290i
\(460\) 29.1451 36.5468i 1.35890 1.70400i
\(461\) −1.25495 + 5.49830i −0.0584489 + 0.256081i −0.995708 0.0925528i \(-0.970497\pi\)
0.937259 + 0.348634i \(0.113354\pi\)
\(462\) −0.0148212 + 0.00713750i −0.000689543 + 0.000332066i
\(463\) −2.06328 2.58727i −0.0958885 0.120240i 0.731572 0.681764i \(-0.238787\pi\)
−0.827461 + 0.561523i \(0.810215\pi\)
\(464\) −25.4745 + 12.2679i −1.18262 + 0.569522i
\(465\) −0.902907 + 1.13221i −0.0418713 + 0.0525050i
\(466\) −8.64869 −0.400643
\(467\) 31.1173 1.43994 0.719968 0.694007i \(-0.244156\pi\)
0.719968 + 0.694007i \(0.244156\pi\)
\(468\) −2.79183 + 3.50085i −0.129052 + 0.161827i
\(469\) 0.524071 + 0.252379i 0.0241994 + 0.0116538i
\(470\) −1.85517 8.12804i −0.0855727 0.374918i
\(471\) 2.78001 12.1800i 0.128096 0.561227i
\(472\) −15.8473 −0.729429
\(473\) 6.00102 + 3.11832i 0.275927 + 0.143381i
\(474\) 3.33848 0.153341
\(475\) 5.30914 23.2608i 0.243600 1.06728i
\(476\) 0.0233286 + 0.102209i 0.00106926 + 0.00468475i
\(477\) 5.95503 + 2.86779i 0.272662 + 0.131307i
\(478\) −4.72836 + 5.92917i −0.216270 + 0.271194i
\(479\) 13.8274 0.631791 0.315895 0.948794i \(-0.397695\pi\)
0.315895 + 0.948794i \(0.397695\pi\)
\(480\) −9.87498 −0.450729
\(481\) 1.94454 2.43838i 0.0886634 0.111180i
\(482\) −3.48964 + 1.68052i −0.158949 + 0.0765456i
\(483\) 0.157620 + 0.197649i 0.00717196 + 0.00899335i
\(484\) −15.9448 + 7.67863i −0.724765 + 0.349029i
\(485\) 0.700667 3.06982i 0.0318156 0.139393i
\(486\) 3.90074 4.89138i 0.176941 0.221877i
\(487\) −1.86181 + 8.15710i −0.0843665 + 0.369634i −0.999433 0.0336692i \(-0.989281\pi\)
0.915067 + 0.403303i \(0.132138\pi\)
\(488\) −20.6207 9.93039i −0.933454 0.449528i
\(489\) −6.45293 8.09172i −0.291812 0.365920i
\(490\) 7.22371 + 9.05825i 0.326334 + 0.409210i
\(491\) 1.22218 + 5.35474i 0.0551564 + 0.241656i 0.994990 0.0999775i \(-0.0318771\pi\)
−0.939833 + 0.341633i \(0.889020\pi\)
\(492\) −7.54101 3.63156i −0.339975 0.163723i
\(493\) −9.31634 + 4.48651i −0.419587 + 0.202062i
\(494\) −0.311434 1.36448i −0.0140121 0.0613910i
\(495\) −2.16420 9.48198i −0.0972735 0.426183i
\(496\) −1.74054 + 0.838201i −0.0781527 + 0.0376363i
\(497\) −0.193212 0.0930459i −0.00866673 0.00417368i
\(498\) −0.708495 3.10412i −0.0317484 0.139099i
\(499\) 6.00725 + 7.53285i 0.268921 + 0.337217i 0.897895 0.440210i \(-0.145096\pi\)
−0.628973 + 0.777427i \(0.716525\pi\)
\(500\) 9.92685 + 12.4479i 0.443942 + 0.556686i
\(501\) −10.5225 5.06737i −0.470111 0.226393i
\(502\) −1.58898 + 6.96177i −0.0709196 + 0.310719i
\(503\) −6.54572 + 8.20807i −0.291859 + 0.365980i −0.906045 0.423182i \(-0.860913\pi\)
0.614186 + 0.789162i \(0.289485\pi\)
\(504\) −0.0617440 + 0.270518i −0.00275030 + 0.0120498i
\(505\) −43.9080 + 21.1450i −1.95388 + 0.940939i
\(506\) 2.23111 + 2.79773i 0.0991850 + 0.124374i
\(507\) 6.31892 3.04303i 0.280633 0.135146i
\(508\) 10.1394 12.7144i 0.449865 0.564112i
\(509\) −7.94408 −0.352115 −0.176057 0.984380i \(-0.556334\pi\)
−0.176057 + 0.984380i \(0.556334\pi\)
\(510\) −0.959058 −0.0424678
\(511\) 0.0997026 0.125023i 0.00441058 0.00553070i
\(512\) −20.5857 9.91355i −0.909768 0.438121i
\(513\) −2.31439 10.1400i −0.102183 0.447692i
\(514\) −0.121432 + 0.532028i −0.00535613 + 0.0234667i
\(515\) 42.8665 1.88892
\(516\) −6.18077 + 2.74808i −0.272093 + 0.120977i
\(517\) −5.19231 −0.228358
\(518\) 0.0202577 0.0887547i 0.000890072 0.00389966i
\(519\) 0.830365 + 3.63807i 0.0364490 + 0.159693i
\(520\) 5.32258 + 2.56322i 0.233411 + 0.112405i
\(521\) 1.80744 2.26645i 0.0791853 0.0992952i −0.740661 0.671879i \(-0.765487\pi\)
0.819846 + 0.572584i \(0.194059\pi\)
\(522\) −12.8917 −0.564253
\(523\) 24.4323 1.06835 0.534174 0.845374i \(-0.320623\pi\)
0.534174 + 0.845374i \(0.320623\pi\)
\(524\) 15.2472 19.1194i 0.666077 0.835234i
\(525\) −0.231150 + 0.111316i −0.0100882 + 0.00485822i
\(526\) −3.31996 4.16310i −0.144757 0.181520i
\(527\) −0.636538 + 0.306541i −0.0277280 + 0.0133531i
\(528\) −0.363432 + 1.59230i −0.0158164 + 0.0692960i
\(529\) 19.9468 25.0125i 0.867253 1.08750i
\(530\) 0.914039 4.00467i 0.0397033 0.173952i
\(531\) 21.5046 + 10.3561i 0.933219 + 0.449415i
\(532\) 0.207228 + 0.259855i 0.00898446 + 0.0112662i
\(533\) 4.77330 + 5.98553i 0.206755 + 0.259262i
\(534\) −0.751983 3.29465i −0.0325415 0.142573i
\(535\) −30.1816 14.5347i −1.30487 0.628391i
\(536\) −15.7513 + 7.58543i −0.680353 + 0.327641i
\(537\) −2.75210 12.0577i −0.118762 0.520329i
\(538\) 0.743146 + 3.25593i 0.0320393 + 0.140373i
\(539\) 6.50112 3.13078i 0.280023 0.134852i
\(540\) 18.6320 + 8.97269i 0.801793 + 0.386123i
\(541\) −0.222166 0.973373i −0.00955167 0.0418486i 0.969928 0.243394i \(-0.0782608\pi\)
−0.979479 + 0.201545i \(0.935404\pi\)
\(542\) 7.21120 + 9.04255i 0.309747 + 0.388411i
\(543\) −0.222653 0.279199i −0.00955498 0.0119816i
\(544\) −4.34057 2.09031i −0.186100 0.0896213i
\(545\) −13.9611 + 61.1675i −0.598027 + 2.62013i
\(546\) −0.00938329 + 0.0117663i −0.000401568 + 0.000503550i
\(547\) −1.18056 + 5.17239i −0.0504773 + 0.221155i −0.993875 0.110507i \(-0.964752\pi\)
0.943398 + 0.331663i \(0.107610\pi\)
\(548\) −0.456760 + 0.219964i −0.0195118 + 0.00939640i
\(549\) 21.4926 + 26.9509i 0.917282 + 1.15024i
\(550\) −3.27192 + 1.57567i −0.139515 + 0.0671870i
\(551\) −20.4393 + 25.6301i −0.870743 + 1.09188i
\(552\) −7.59816 −0.323399
\(553\) 0.725172 0.0308374
\(554\) 8.69046 10.8975i 0.369222 0.462990i
\(555\) −6.10447 2.93976i −0.259120 0.124786i
\(556\) −5.55394 24.3334i −0.235539 1.03197i
\(557\) 0.120369 0.527369i 0.00510018 0.0223453i −0.972314 0.233679i \(-0.924924\pi\)
0.977414 + 0.211334i \(0.0677807\pi\)
\(558\) −0.880823 −0.0372882
\(559\) 6.18418 + 0.188245i 0.261563 + 0.00796191i
\(560\) −0.569636 −0.0240715
\(561\) −0.132912 + 0.582324i −0.00561154 + 0.0245857i
\(562\) −3.36642 14.7492i −0.142004 0.622159i
\(563\) 33.1632 + 15.9706i 1.39766 + 0.673080i 0.972686 0.232124i \(-0.0745675\pi\)
0.424978 + 0.905204i \(0.360282\pi\)
\(564\) 3.23798 4.06029i 0.136343 0.170969i
\(565\) −68.6678 −2.88887
\(566\) −4.78455 −0.201110
\(567\) 0.223638 0.280433i 0.00939190 0.0117771i
\(568\) 5.80711 2.79656i 0.243661 0.117341i
\(569\) −1.10801 1.38940i −0.0464503 0.0582468i 0.758064 0.652180i \(-0.226146\pi\)
−0.804514 + 0.593934i \(0.797574\pi\)
\(570\) −2.73940 + 1.31923i −0.114741 + 0.0552563i
\(571\) −3.32855 + 14.5833i −0.139296 + 0.610294i 0.856295 + 0.516487i \(0.172761\pi\)
−0.995590 + 0.0938065i \(0.970097\pi\)
\(572\) 1.08058 1.35500i 0.0451813 0.0566555i
\(573\) −1.98379 + 8.69157i −0.0828742 + 0.363096i
\(574\) 0.201340 + 0.0969604i 0.00840378 + 0.00404705i
\(575\) 34.7962 + 43.6331i 1.45110 + 1.81962i
\(576\) 5.34058 + 6.69687i 0.222524 + 0.279036i
\(577\) 0.650297 + 2.84914i 0.0270722 + 0.118611i 0.986659 0.162803i \(-0.0520536\pi\)
−0.959586 + 0.281414i \(0.909196\pi\)
\(578\) −0.421556 0.203011i −0.0175344 0.00844413i
\(579\) 3.47467 1.67331i 0.144402 0.0695406i
\(580\) −14.5041 63.5467i −0.602251 2.63864i
\(581\) −0.153897 0.674265i −0.00638471 0.0279732i
\(582\) −0.217215 + 0.104605i −0.00900386 + 0.00433603i
\(583\) −2.30489 1.10998i −0.0954590 0.0459706i
\(584\) 1.06949 + 4.68572i 0.0442556 + 0.193896i
\(585\) −5.54765 6.95653i −0.229367 0.287617i
\(586\) −5.89127 7.38742i −0.243366 0.305171i
\(587\) −31.3910 15.1171i −1.29564 0.623949i −0.346281 0.938131i \(-0.612555\pi\)
−0.949363 + 0.314182i \(0.898270\pi\)
\(588\) −1.60595 + 7.03615i −0.0662285 + 0.290166i
\(589\) −1.39651 + 1.75117i −0.0575423 + 0.0721558i
\(590\) 3.30074 14.4615i 0.135890 0.595371i
\(591\) −13.3292 + 6.41902i −0.548292 + 0.264043i
\(592\) −5.63545 7.06663i −0.231615 0.290437i
\(593\) 9.46044 4.55591i 0.388494 0.187089i −0.229433 0.973324i \(-0.573687\pi\)
0.617927 + 0.786236i \(0.287973\pi\)
\(594\) −0.987040 + 1.23771i −0.0404987 + 0.0507838i
\(595\) −0.208323 −0.00854041
\(596\) −18.7024 −0.766080
\(597\) −0.528796 + 0.663089i −0.0216422 + 0.0271384i
\(598\) 2.94954 + 1.42043i 0.120616 + 0.0580855i
\(599\) −3.62508 15.8825i −0.148117 0.648942i −0.993408 0.114635i \(-0.963430\pi\)
0.845291 0.534306i \(-0.179427\pi\)
\(600\) 1.71586 7.51765i 0.0700495 0.306907i
\(601\) −8.04798 −0.328284 −0.164142 0.986437i \(-0.552486\pi\)
−0.164142 + 0.986437i \(0.552486\pi\)
\(602\) 0.165023 0.0733719i 0.00672582 0.00299041i
\(603\) 26.3314 1.07230
\(604\) −2.97544 + 13.0362i −0.121069 + 0.530437i
\(605\) −7.82530 34.2849i −0.318144 1.39388i
\(606\) 3.36189 + 1.61900i 0.136567 + 0.0657674i
\(607\) −13.4723 + 16.8938i −0.546825 + 0.685696i −0.976061 0.217496i \(-0.930211\pi\)
0.429237 + 0.903192i \(0.358783\pi\)
\(608\) −15.2735 −0.619422
\(609\) 0.352506 0.0142843
\(610\) 13.3570 16.7492i 0.540809 0.678154i
\(611\) −4.27980 + 2.06104i −0.173142 + 0.0833809i
\(612\) 2.95897 + 3.71043i 0.119609 + 0.149985i
\(613\) 4.58975 2.21031i 0.185378 0.0892735i −0.338892 0.940825i \(-0.610052\pi\)
0.524271 + 0.851552i \(0.324338\pi\)
\(614\) 1.01835 4.46170i 0.0410974 0.180060i
\(615\) 10.3698 13.0033i 0.418150 0.524343i
\(616\) 0.0238980 0.104704i 0.000962879 0.00421865i
\(617\) −42.7278 20.5766i −1.72016 0.828384i −0.989307 0.145846i \(-0.953410\pi\)
−0.730850 0.682538i \(-0.760876\pi\)
\(618\) −2.04638 2.56608i −0.0823176 0.103223i
\(619\) 17.0349 + 21.3611i 0.684690 + 0.858574i 0.995777 0.0918079i \(-0.0292646\pi\)
−0.311087 + 0.950381i \(0.600693\pi\)
\(620\) −0.990993 4.34182i −0.0397992 0.174372i
\(621\) 21.9192 + 10.5557i 0.879587 + 0.423587i
\(622\) 2.23205 1.07490i 0.0894970 0.0430995i
\(623\) −0.163343 0.715652i −0.00654419 0.0286720i
\(624\) 0.332489 + 1.45673i 0.0133102 + 0.0583158i
\(625\) 5.39812 2.59960i 0.215925 0.103984i
\(626\) −2.73661 1.31788i −0.109377 0.0526731i
\(627\) 0.421371 + 1.84614i 0.0168279 + 0.0737279i
\(628\) 23.9547 + 30.0383i 0.955899 + 1.19866i
\(629\) −2.06095 2.58435i −0.0821756 0.103045i
\(630\) −0.234003 0.112690i −0.00932289 0.00448967i
\(631\) −8.84995 + 38.7742i −0.352311 + 1.54358i 0.419519 + 0.907747i \(0.362199\pi\)
−0.771830 + 0.635829i \(0.780658\pi\)
\(632\) −13.5893 + 17.0404i −0.540553 + 0.677832i
\(633\) 0.925648 4.05553i 0.0367912 0.161193i
\(634\) 5.46732 2.63292i 0.217135 0.104567i
\(635\) 20.1481 + 25.2649i 0.799552 + 1.00261i
\(636\) 2.30534 1.11019i 0.0914126 0.0440220i
\(637\) 4.11587 5.16113i 0.163077 0.204492i
\(638\) 4.98973 0.197545
\(639\) −9.70772 −0.384032
\(640\) 24.5808 30.8233i 0.971640 1.21840i
\(641\) −34.4679 16.5989i −1.36140 0.655615i −0.396451 0.918056i \(-0.629758\pi\)
−0.964948 + 0.262440i \(0.915473\pi\)
\(642\) 0.570747 + 2.50061i 0.0225256 + 0.0986911i
\(643\) 6.41401 28.1016i 0.252944 1.10822i −0.675679 0.737196i \(-0.736149\pi\)
0.928623 0.371024i \(-0.120993\pi\)
\(644\) −0.777442 −0.0306355
\(645\) −2.59083 13.1890i −0.102014 0.519316i
\(646\) −1.48336 −0.0583620
\(647\) 9.23040 40.4410i 0.362885 1.58990i −0.382950 0.923769i \(-0.625092\pi\)
0.745834 0.666132i \(-0.232051\pi\)
\(648\) 2.39890 + 10.5103i 0.0942379 + 0.412883i
\(649\) −8.32335 4.00832i −0.326720 0.157340i
\(650\) −2.07146 + 2.59752i −0.0812492 + 0.101883i
\(651\) 0.0240850 0.000943964
\(652\) 31.8283 1.24649
\(653\) −1.49821 + 1.87870i −0.0586296 + 0.0735192i −0.810282 0.586041i \(-0.800686\pi\)
0.751652 + 0.659560i \(0.229257\pi\)
\(654\) 4.32810 2.08430i 0.169242 0.0815028i
\(655\) 30.2977 + 37.9921i 1.18383 + 1.48447i
\(656\) 19.9899 9.62663i 0.780475 0.375857i
\(657\) 1.61080 7.05738i 0.0628433 0.275335i
\(658\) −0.0864519 + 0.108407i −0.00337025 + 0.00422616i
\(659\) −3.33286 + 14.6022i −0.129830 + 0.568822i 0.867606 + 0.497253i \(0.165658\pi\)
−0.997436 + 0.0715691i \(0.977199\pi\)
\(660\) −3.39225 1.63362i −0.132043 0.0635885i
\(661\) 5.94755 + 7.45800i 0.231333 + 0.290082i 0.883927 0.467626i \(-0.154890\pi\)
−0.652594 + 0.757708i \(0.726319\pi\)
\(662\) −4.70367 5.89822i −0.182813 0.229241i
\(663\) 0.121595 + 0.532743i 0.00472237 + 0.0206900i
\(664\) 18.7281 + 9.01900i 0.726793 + 0.350005i
\(665\) −0.595042 + 0.286557i −0.0230748 + 0.0111122i
\(666\) −0.917030 4.01777i −0.0355342 0.155685i
\(667\) −17.0631 74.7582i −0.660685 2.89465i
\(668\) 32.3597 15.5836i 1.25204 0.602949i
\(669\) −1.39560 0.672084i −0.0539569 0.0259843i
\(670\) −3.64137 15.9539i −0.140678 0.616352i
\(671\) −8.31872 10.4313i −0.321141 0.402698i
\(672\) 0.102399 + 0.128405i 0.00395015 + 0.00495333i
\(673\) −2.98168 1.43590i −0.114935 0.0553499i 0.375533 0.926809i \(-0.377460\pi\)
−0.490468 + 0.871459i \(0.663174\pi\)
\(674\) 1.31192 5.74788i 0.0505332 0.221400i
\(675\) −15.3938 + 19.3032i −0.592507 + 0.742980i
\(676\) −4.79943 + 21.0277i −0.184594 + 0.808757i
\(677\) 18.3088 8.81705i 0.703664 0.338867i −0.0476017 0.998866i \(-0.515158\pi\)
0.751266 + 0.660000i \(0.229444\pi\)
\(678\) 3.27810 + 4.11061i 0.125895 + 0.157867i
\(679\) −0.0471827 + 0.0227220i −0.00181070 + 0.000871989i
\(680\) 3.90385 4.89527i 0.149706 0.187725i
\(681\) −4.94700 −0.189569
\(682\) 0.340923 0.0130546
\(683\) 14.7869 18.5422i 0.565804 0.709496i −0.413815 0.910361i \(-0.635804\pi\)
0.979619 + 0.200865i \(0.0643752\pi\)
\(684\) 13.5557 + 6.52808i 0.518315 + 0.249607i
\(685\) −0.224166 0.982134i −0.00856493 0.0375254i
\(686\) 0.0857772 0.375814i 0.00327499 0.0143487i
\(687\) −7.05220 −0.269058
\(688\) 4.51996 17.3515i 0.172322 0.661521i
\(689\) −2.34042 −0.0891631
\(690\) 1.58258 6.93375i 0.0602479 0.263963i
\(691\) −7.72382 33.8403i −0.293828 1.28735i −0.879150 0.476544i \(-0.841889\pi\)
0.585322 0.810801i \(-0.300968\pi\)
\(692\) −10.3394 4.97918i −0.393044 0.189280i
\(693\) −0.100853 + 0.126465i −0.00383108 + 0.00480402i
\(694\) −15.2192 −0.577714
\(695\) 49.5964 1.88130
\(696\) −6.60576 + 8.28336i −0.250391 + 0.313980i
\(697\) 7.31056 3.52058i 0.276907 0.133351i
\(698\) −4.68690 5.87718i −0.177402 0.222455i
\(699\) 9.64519 4.64488i 0.364815 0.175685i
\(700\) 0.175566 0.769204i 0.00663577 0.0290732i
\(701\) −19.6057 + 24.5847i −0.740496 + 0.928552i −0.999301 0.0373771i \(-0.988100\pi\)
0.258805 + 0.965929i \(0.416671\pi\)
\(702\) −0.322277 + 1.41199i −0.0121636 + 0.0532921i
\(703\) −9.44169 4.54688i −0.356100 0.171489i
\(704\) −2.06707 2.59203i −0.0779057 0.0976907i
\(705\) 6.43418 + 8.06821i 0.242325 + 0.303866i
\(706\) −0.228630 1.00170i −0.00860462 0.0376993i
\(707\) 0.730257 + 0.351673i 0.0274641 + 0.0132260i
\(708\) 8.32496 4.00909i 0.312871 0.150671i
\(709\) −1.17228 5.13610i −0.0440260 0.192890i 0.948133 0.317875i \(-0.102969\pi\)
−0.992159 + 0.124984i \(0.960112\pi\)
\(710\) 1.34248 + 5.88179i 0.0503824 + 0.220740i
\(711\) 29.5763 14.2432i 1.10920 0.534162i
\(712\) 19.8777 + 9.57258i 0.744947 + 0.358748i
\(713\) −1.16583 5.10784i −0.0436608 0.191290i
\(714\) 0.00994503 + 0.0124707i 0.000372184 + 0.000466703i
\(715\) 2.14722 + 2.69253i 0.0803014 + 0.100695i
\(716\) 34.2680 + 16.5026i 1.28065 + 0.616731i
\(717\) 2.08883 9.15176i 0.0780088 0.341779i
\(718\) −7.24454 + 9.08437i −0.270364 + 0.339026i
\(719\) 4.64952 20.3709i 0.173398 0.759706i −0.811185 0.584789i \(-0.801177\pi\)
0.984583 0.174917i \(-0.0559656\pi\)
\(720\) −23.2328 + 11.1883i −0.865834 + 0.416964i
\(721\) −0.444508 0.557395i −0.0165543 0.0207585i
\(722\) 3.77258 1.81678i 0.140401 0.0676135i
\(723\) 2.98917 3.74830i 0.111168 0.139401i
\(724\) 1.09821 0.0408147
\(725\) 77.8193 2.89014
\(726\) −1.67880 + 2.10515i −0.0623062 + 0.0781295i
\(727\) 21.7672 + 10.4825i 0.807302 + 0.388776i 0.791553 0.611100i \(-0.209273\pi\)
0.0157482 + 0.999876i \(0.494987\pi\)
\(728\) −0.0218633 0.0957893i −0.000810307 0.00355019i
\(729\) 2.34471 10.2728i 0.0868411 0.380476i
\(730\) −4.49874 −0.166506
\(731\) 1.65300 6.34567i 0.0611386 0.234703i
\(732\) 13.3448 0.493237
\(733\) 0.717659 3.14427i 0.0265073 0.116136i −0.959943 0.280194i \(-0.909601\pi\)
0.986451 + 0.164058i \(0.0524583\pi\)
\(734\) −1.50626 6.59934i −0.0555969 0.243586i
\(735\) −12.9209 6.22237i −0.476594 0.229515i
\(736\) 22.2750 27.9319i 0.821066 1.02958i
\(737\) −10.1916 −0.375412
\(738\) 10.1161 0.372380
\(739\) −9.45714 + 11.8589i −0.347886 + 0.436236i −0.924733 0.380617i \(-0.875712\pi\)
0.576846 + 0.816853i \(0.304283\pi\)
\(740\) 18.7730 9.04060i 0.690109 0.332339i
\(741\) 1.08013 + 1.35444i 0.0396796 + 0.0497566i
\(742\) −0.0615511 + 0.0296414i −0.00225961 + 0.00108817i
\(743\) −3.31703 + 14.5328i −0.121690 + 0.533158i 0.876929 + 0.480620i \(0.159588\pi\)
−0.998619 + 0.0525383i \(0.983269\pi\)
\(744\) −0.451338 + 0.565960i −0.0165468 + 0.0207491i
\(745\) 8.26966 36.2318i 0.302977 1.32743i
\(746\) −6.03008 2.90393i −0.220777 0.106321i
\(747\) −19.5201 24.4774i −0.714202 0.895581i
\(748\) −1.14527 1.43612i −0.0418752 0.0525098i
\(749\) 0.123976 + 0.543172i 0.00452997 + 0.0198471i
\(750\) 2.18249 + 1.05103i 0.0796931 + 0.0383782i
\(751\) −6.03482 + 2.90622i −0.220214 + 0.106049i −0.540738 0.841191i \(-0.681855\pi\)
0.320525 + 0.947240i \(0.396141\pi\)
\(752\) 3.06335 + 13.4214i 0.111709 + 0.489428i
\(753\) −1.96684 8.61729i −0.0716756 0.314031i
\(754\) 4.11282 1.98063i 0.149780 0.0721303i
\(755\) −23.9392 11.5285i −0.871236 0.419565i
\(756\) −0.0765336 0.335316i −0.00278350 0.0121953i
\(757\) −14.6468 18.3665i −0.532348 0.667544i 0.440831 0.897590i \(-0.354684\pi\)
−0.973180 + 0.230046i \(0.926112\pi\)