Properties

Label 483.2.i.h.277.5
Level $483$
Weight $2$
Character 483.277
Analytic conductor $3.857$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 3 x^{19} + 22 x^{18} - 43 x^{17} + 245 x^{16} - 416 x^{15} + 1707 x^{14} - 2021 x^{13} + 7135 x^{12} - 6640 x^{11} + 20315 x^{10} - 10565 x^{9} + 29358 x^{8} - 9009 x^{7} + 30661 x^{6} - 4026 x^{5} + 15786 x^{4} - 84 x^{3} + 5800 x^{2} + 152 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 277.5
Root \(0.432430 - 0.748990i\) of defining polynomial
Character \(\chi\) \(=\) 483.277
Dual form 483.2.i.h.415.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.432430 - 0.748990i) q^{2} +(0.500000 - 0.866025i) q^{3} +(0.626009 - 1.08428i) q^{4} +(1.24779 + 2.16123i) q^{5} -0.864859 q^{6} +(-0.0271380 + 2.64561i) q^{7} -2.81254 q^{8} +(-0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.432430 - 0.748990i) q^{2} +(0.500000 - 0.866025i) q^{3} +(0.626009 - 1.08428i) q^{4} +(1.24779 + 2.16123i) q^{5} -0.864859 q^{6} +(-0.0271380 + 2.64561i) q^{7} -2.81254 q^{8} +(-0.500000 - 0.866025i) q^{9} +(1.07916 - 1.86916i) q^{10} +(1.99155 - 3.44946i) q^{11} +(-0.626009 - 1.08428i) q^{12} +2.80699 q^{13} +(1.99327 - 1.12372i) q^{14} +2.49557 q^{15} +(-0.0357927 - 0.0619948i) q^{16} +(3.49385 - 6.05152i) q^{17} +(-0.432430 + 0.748990i) q^{18} +(2.99029 + 5.17933i) q^{19} +3.12450 q^{20} +(2.27760 + 1.34631i) q^{21} -3.44482 q^{22} +(-0.500000 - 0.866025i) q^{23} +(-1.40627 + 2.43573i) q^{24} +(-0.613943 + 1.06338i) q^{25} +(-1.21382 - 2.10240i) q^{26} -1.00000 q^{27} +(2.85159 + 1.68560i) q^{28} -4.06198 q^{29} +(-1.07916 - 1.86916i) q^{30} +(1.72173 - 2.98212i) q^{31} +(-2.84349 + 4.92508i) q^{32} +(-1.99155 - 3.44946i) q^{33} -6.04338 q^{34} +(-5.75164 + 3.24251i) q^{35} -1.25202 q^{36} +(0.738463 + 1.27905i) q^{37} +(2.58618 - 4.47939i) q^{38} +(1.40349 - 2.43092i) q^{39} +(-3.50945 - 6.07854i) q^{40} -7.65339 q^{41} +(0.0234706 - 2.28808i) q^{42} +7.07993 q^{43} +(-2.49345 - 4.31879i) q^{44} +(1.24779 - 2.16123i) q^{45} +(-0.432430 + 0.748990i) q^{46} +(1.52265 + 2.63732i) q^{47} -0.0715855 q^{48} +(-6.99853 - 0.143593i) q^{49} +1.06195 q^{50} +(-3.49385 - 6.05152i) q^{51} +(1.75720 - 3.04356i) q^{52} +(-4.78552 + 8.28876i) q^{53} +(0.432430 + 0.748990i) q^{54} +9.94011 q^{55} +(0.0763267 - 7.44089i) q^{56} +5.98058 q^{57} +(1.75652 + 3.04238i) q^{58} +(4.15309 - 7.19336i) q^{59} +(1.56225 - 2.70590i) q^{60} +(1.85641 + 3.21539i) q^{61} -2.97811 q^{62} +(2.30474 - 1.29930i) q^{63} +4.77528 q^{64} +(3.50252 + 6.06654i) q^{65} +(-1.72241 + 2.98330i) q^{66} +(-2.23479 + 3.87076i) q^{67} +(-4.37436 - 7.57662i) q^{68} -1.00000 q^{69} +(4.91579 + 2.90576i) q^{70} -9.49028 q^{71} +(1.40627 + 2.43573i) q^{72} +(-6.45106 + 11.1736i) q^{73} +(0.638666 - 1.10620i) q^{74} +(0.613943 + 1.06338i) q^{75} +7.48779 q^{76} +(9.07190 + 5.36248i) q^{77} -2.42765 q^{78} +(-3.56152 - 6.16873i) q^{79} +(0.0893234 - 0.154713i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.30955 + 5.73232i) q^{82} +1.05716 q^{83} +(2.88557 - 1.62675i) q^{84} +17.4383 q^{85} +(-3.06157 - 5.30280i) q^{86} +(-2.03099 + 3.51778i) q^{87} +(-5.60131 + 9.70175i) q^{88} +(1.65027 + 2.85835i) q^{89} -2.15832 q^{90} +(-0.0761760 + 7.42619i) q^{91} -1.25202 q^{92} +(-1.72173 - 2.98212i) q^{93} +(1.31688 - 2.28091i) q^{94} +(-7.46248 + 12.9254i) q^{95} +(2.84349 + 4.92508i) q^{96} -15.9312 q^{97} +(2.91882 + 5.30392i) q^{98} -3.98310 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} + O(q^{10}) \) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} - 11q^{10} - 8q^{11} + 15q^{12} + 11q^{14} + 10q^{15} - 37q^{16} + 11q^{17} - 3q^{18} - q^{19} - 30q^{20} + 12q^{22} - 10q^{23} + 9q^{24} - 21q^{25} - q^{26} - 20q^{27} + 44q^{28} + 44q^{29} + 11q^{30} + 3q^{31} - 11q^{32} + 8q^{33} - 6q^{34} - 9q^{35} + 30q^{36} + 3q^{37} - 16q^{38} - 39q^{40} - 52q^{41} + 7q^{42} + 54q^{43} - 16q^{44} + 5q^{45} - 3q^{46} - 11q^{47} - 74q^{48} + 22q^{49} + 4q^{50} - 11q^{51} - 29q^{52} - 5q^{53} + 3q^{54} - 36q^{55} + 43q^{56} - 2q^{57} - 16q^{58} + 10q^{59} - 15q^{60} - 22q^{61} - 64q^{62} + 138q^{64} + 11q^{65} + 6q^{66} + 2q^{67} + 21q^{68} - 20q^{69} + 84q^{70} + 54q^{71} - 9q^{72} + 8q^{73} - 14q^{74} + 21q^{75} - 44q^{76} + 8q^{77} - 2q^{78} - 21q^{79} + 53q^{80} - 10q^{81} - 36q^{82} - 24q^{83} + 25q^{84} + 46q^{85} - 18q^{86} + 22q^{87} + 10q^{88} - 6q^{89} + 22q^{90} - 62q^{91} + 30q^{92} - 3q^{93} - 35q^{94} - 44q^{95} + 11q^{96} + 12q^{97} + 2q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.432430 0.748990i −0.305774 0.529616i 0.671659 0.740860i \(-0.265582\pi\)
−0.977433 + 0.211244i \(0.932249\pi\)
\(3\) 0.500000 0.866025i 0.288675 0.500000i
\(4\) 0.626009 1.08428i 0.313005 0.542140i
\(5\) 1.24779 + 2.16123i 0.558027 + 0.966531i 0.997661 + 0.0683543i \(0.0217748\pi\)
−0.439634 + 0.898177i \(0.644892\pi\)
\(6\) −0.864859 −0.353077
\(7\) −0.0271380 + 2.64561i −0.0102572 + 0.999947i
\(8\) −2.81254 −0.994383
\(9\) −0.500000 0.866025i −0.166667 0.288675i
\(10\) 1.07916 1.86916i 0.341260 0.591080i
\(11\) 1.99155 3.44946i 0.600475 1.04005i −0.392275 0.919848i \(-0.628312\pi\)
0.992749 0.120204i \(-0.0383549\pi\)
\(12\) −0.626009 1.08428i −0.180713 0.313005i
\(13\) 2.80699 0.778518 0.389259 0.921128i \(-0.372731\pi\)
0.389259 + 0.921128i \(0.372731\pi\)
\(14\) 1.99327 1.12372i 0.532725 0.300326i
\(15\) 2.49557 0.644354
\(16\) −0.0357927 0.0619948i −0.00894819 0.0154987i
\(17\) 3.49385 6.05152i 0.847383 1.46771i −0.0361530 0.999346i \(-0.511510\pi\)
0.883536 0.468364i \(-0.155156\pi\)
\(18\) −0.432430 + 0.748990i −0.101925 + 0.176539i
\(19\) 2.99029 + 5.17933i 0.686019 + 1.18822i 0.973115 + 0.230318i \(0.0739767\pi\)
−0.287096 + 0.957902i \(0.592690\pi\)
\(20\) 3.12450 0.698660
\(21\) 2.27760 + 1.34631i 0.497013 + 0.293789i
\(22\) −3.44482 −0.734438
\(23\) −0.500000 0.866025i −0.104257 0.180579i
\(24\) −1.40627 + 2.43573i −0.287054 + 0.497191i
\(25\) −0.613943 + 1.06338i −0.122789 + 0.212676i
\(26\) −1.21382 2.10240i −0.238050 0.412315i
\(27\) −1.00000 −0.192450
\(28\) 2.85159 + 1.68560i 0.538901 + 0.318549i
\(29\) −4.06198 −0.754291 −0.377145 0.926154i \(-0.623094\pi\)
−0.377145 + 0.926154i \(0.623094\pi\)
\(30\) −1.07916 1.86916i −0.197027 0.341260i
\(31\) 1.72173 2.98212i 0.309232 0.535605i −0.668963 0.743296i \(-0.733261\pi\)
0.978195 + 0.207691i \(0.0665948\pi\)
\(32\) −2.84349 + 4.92508i −0.502664 + 0.870639i
\(33\) −1.99155 3.44946i −0.346684 0.600475i
\(34\) −6.04338 −1.03643
\(35\) −5.75164 + 3.24251i −0.972204 + 0.548084i
\(36\) −1.25202 −0.208670
\(37\) 0.738463 + 1.27905i 0.121402 + 0.210275i 0.920321 0.391164i \(-0.127927\pi\)
−0.798918 + 0.601439i \(0.794594\pi\)
\(38\) 2.58618 4.47939i 0.419534 0.726654i
\(39\) 1.40349 2.43092i 0.224739 0.389259i
\(40\) −3.50945 6.07854i −0.554892 0.961102i
\(41\) −7.65339 −1.19526 −0.597630 0.801772i \(-0.703891\pi\)
−0.597630 + 0.801772i \(0.703891\pi\)
\(42\) 0.0234706 2.28808i 0.00362159 0.353059i
\(43\) 7.07993 1.07968 0.539840 0.841768i \(-0.318485\pi\)
0.539840 + 0.841768i \(0.318485\pi\)
\(44\) −2.49345 4.31879i −0.375902 0.651082i
\(45\) 1.24779 2.16123i 0.186009 0.322177i
\(46\) −0.432430 + 0.748990i −0.0637583 + 0.110433i
\(47\) 1.52265 + 2.63732i 0.222102 + 0.384692i 0.955446 0.295166i \(-0.0953749\pi\)
−0.733344 + 0.679858i \(0.762042\pi\)
\(48\) −0.0715855 −0.0103325
\(49\) −6.99853 0.143593i −0.999790 0.0205133i
\(50\) 1.06195 0.150182
\(51\) −3.49385 6.05152i −0.489237 0.847383i
\(52\) 1.75720 3.04356i 0.243680 0.422065i
\(53\) −4.78552 + 8.28876i −0.657342 + 1.13855i 0.323960 + 0.946071i \(0.394986\pi\)
−0.981301 + 0.192478i \(0.938348\pi\)
\(54\) 0.432430 + 0.748990i 0.0588462 + 0.101925i
\(55\) 9.94011 1.34032
\(56\) 0.0763267 7.44089i 0.0101996 0.994330i
\(57\) 5.98058 0.792147
\(58\) 1.75652 + 3.04238i 0.230643 + 0.399485i
\(59\) 4.15309 7.19336i 0.540686 0.936496i −0.458179 0.888860i \(-0.651498\pi\)
0.998865 0.0476357i \(-0.0151687\pi\)
\(60\) 1.56225 2.70590i 0.201686 0.349330i
\(61\) 1.85641 + 3.21539i 0.237689 + 0.411689i 0.960051 0.279826i \(-0.0902769\pi\)
−0.722362 + 0.691515i \(0.756944\pi\)
\(62\) −2.97811 −0.378220
\(63\) 2.30474 1.29930i 0.290369 0.163697i
\(64\) 4.77528 0.596909
\(65\) 3.50252 + 6.06654i 0.434434 + 0.752462i
\(66\) −1.72241 + 2.98330i −0.212014 + 0.367219i
\(67\) −2.23479 + 3.87076i −0.273023 + 0.472889i −0.969634 0.244559i \(-0.921357\pi\)
0.696612 + 0.717448i \(0.254690\pi\)
\(68\) −4.37436 7.57662i −0.530469 0.918800i
\(69\) −1.00000 −0.120386
\(70\) 4.91579 + 2.90576i 0.587549 + 0.347305i
\(71\) −9.49028 −1.12629 −0.563144 0.826359i \(-0.690408\pi\)
−0.563144 + 0.826359i \(0.690408\pi\)
\(72\) 1.40627 + 2.43573i 0.165730 + 0.287054i
\(73\) −6.45106 + 11.1736i −0.755039 + 1.30777i 0.190316 + 0.981723i \(0.439049\pi\)
−0.945355 + 0.326043i \(0.894285\pi\)
\(74\) 0.638666 1.10620i 0.0742435 0.128593i
\(75\) 0.613943 + 1.06338i 0.0708920 + 0.122789i
\(76\) 7.48779 0.858908
\(77\) 9.07190 + 5.36248i 1.03384 + 0.611111i
\(78\) −2.42765 −0.274877
\(79\) −3.56152 6.16873i −0.400702 0.694037i 0.593109 0.805123i \(-0.297901\pi\)
−0.993811 + 0.111086i \(0.964567\pi\)
\(80\) 0.0893234 0.154713i 0.00998666 0.0172974i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 3.30955 + 5.73232i 0.365479 + 0.633028i
\(83\) 1.05716 0.116038 0.0580192 0.998315i \(-0.481522\pi\)
0.0580192 + 0.998315i \(0.481522\pi\)
\(84\) 2.88557 1.62675i 0.314842 0.177493i
\(85\) 17.4383 1.89145
\(86\) −3.06157 5.30280i −0.330138 0.571816i
\(87\) −2.03099 + 3.51778i −0.217745 + 0.377145i
\(88\) −5.60131 + 9.70175i −0.597101 + 1.03421i
\(89\) 1.65027 + 2.85835i 0.174928 + 0.302984i 0.940136 0.340799i \(-0.110697\pi\)
−0.765208 + 0.643783i \(0.777364\pi\)
\(90\) −2.15832 −0.227507
\(91\) −0.0761760 + 7.42619i −0.00798541 + 0.778477i
\(92\) −1.25202 −0.130532
\(93\) −1.72173 2.98212i −0.178535 0.309232i
\(94\) 1.31688 2.28091i 0.135826 0.235258i
\(95\) −7.46248 + 12.9254i −0.765635 + 1.32612i
\(96\) 2.84349 + 4.92508i 0.290213 + 0.502664i
\(97\) −15.9312 −1.61757 −0.808786 0.588103i \(-0.799875\pi\)
−0.808786 + 0.588103i \(0.799875\pi\)
\(98\) 2.91882 + 5.30392i 0.294845 + 0.535777i
\(99\) −3.98310 −0.400316
\(100\) 0.768667 + 1.33137i 0.0768667 + 0.133137i
\(101\) −3.48214 + 6.03125i −0.346486 + 0.600132i −0.985623 0.168962i \(-0.945959\pi\)
0.639136 + 0.769093i \(0.279292\pi\)
\(102\) −3.02169 + 5.23372i −0.299192 + 0.518215i
\(103\) −3.00244 5.20038i −0.295839 0.512408i 0.679341 0.733823i \(-0.262266\pi\)
−0.975180 + 0.221415i \(0.928933\pi\)
\(104\) −7.89475 −0.774144
\(105\) −0.0677249 + 6.60232i −0.00660927 + 0.644320i
\(106\) 8.27760 0.803992
\(107\) −2.85898 4.95191i −0.276388 0.478719i 0.694096 0.719882i \(-0.255804\pi\)
−0.970484 + 0.241164i \(0.922471\pi\)
\(108\) −0.626009 + 1.08428i −0.0602377 + 0.104335i
\(109\) −3.12793 + 5.41773i −0.299601 + 0.518924i −0.976045 0.217570i \(-0.930187\pi\)
0.676444 + 0.736494i \(0.263520\pi\)
\(110\) −4.29840 7.44505i −0.409836 0.709857i
\(111\) 1.47693 0.140184
\(112\) 0.164986 0.0930113i 0.0155897 0.00878874i
\(113\) −3.79544 −0.357045 −0.178523 0.983936i \(-0.557132\pi\)
−0.178523 + 0.983936i \(0.557132\pi\)
\(114\) −2.58618 4.47939i −0.242218 0.419534i
\(115\) 1.24779 2.16123i 0.116357 0.201536i
\(116\) −2.54284 + 4.40432i −0.236096 + 0.408931i
\(117\) −1.40349 2.43092i −0.129753 0.224739i
\(118\) −7.18368 −0.661311
\(119\) 15.9152 + 9.40759i 1.45894 + 0.862393i
\(120\) −7.01890 −0.640735
\(121\) −2.43253 4.21327i −0.221139 0.383024i
\(122\) 1.60553 2.78086i 0.145358 0.251768i
\(123\) −3.82670 + 6.62803i −0.345042 + 0.597630i
\(124\) −2.15564 3.73367i −0.193582 0.335294i
\(125\) 9.41359 0.841977
\(126\) −1.96980 1.16437i −0.175484 0.103730i
\(127\) 20.8819 1.85297 0.926484 0.376333i \(-0.122815\pi\)
0.926484 + 0.376333i \(0.122815\pi\)
\(128\) 3.62202 + 6.27352i 0.320144 + 0.554506i
\(129\) 3.53997 6.13140i 0.311677 0.539840i
\(130\) 3.02919 5.24670i 0.265677 0.460166i
\(131\) −6.07439 10.5212i −0.530722 0.919237i −0.999357 0.0358458i \(-0.988587\pi\)
0.468635 0.883392i \(-0.344746\pi\)
\(132\) −4.98691 −0.434055
\(133\) −13.7837 + 7.77059i −1.19519 + 0.673795i
\(134\) 3.86555 0.333933
\(135\) −1.24779 2.16123i −0.107392 0.186009i
\(136\) −9.82658 + 17.0201i −0.842623 + 1.45947i
\(137\) 0.414316 0.717617i 0.0353974 0.0613102i −0.847784 0.530342i \(-0.822064\pi\)
0.883181 + 0.469032i \(0.155397\pi\)
\(138\) 0.432430 + 0.748990i 0.0368109 + 0.0637583i
\(139\) 0.546099 0.0463195 0.0231598 0.999732i \(-0.492627\pi\)
0.0231598 + 0.999732i \(0.492627\pi\)
\(140\) −0.0847928 + 8.26622i −0.00716630 + 0.698623i
\(141\) 3.04531 0.256461
\(142\) 4.10388 + 7.10812i 0.344390 + 0.596501i
\(143\) 5.59025 9.68259i 0.467480 0.809699i
\(144\) −0.0357927 + 0.0619948i −0.00298273 + 0.00516624i
\(145\) −5.06849 8.77887i −0.420915 0.729046i
\(146\) 11.1585 0.923485
\(147\) −3.62362 + 5.98911i −0.298871 + 0.493973i
\(148\) 1.84914 0.151998
\(149\) 9.27434 + 16.0636i 0.759783 + 1.31598i 0.942961 + 0.332903i \(0.108028\pi\)
−0.183178 + 0.983080i \(0.558638\pi\)
\(150\) 0.530974 0.919674i 0.0433538 0.0750911i
\(151\) 2.88625 4.99914i 0.234880 0.406824i −0.724358 0.689424i \(-0.757864\pi\)
0.959238 + 0.282600i \(0.0911969\pi\)
\(152\) −8.41030 14.5671i −0.682166 1.18155i
\(153\) −6.98770 −0.564922
\(154\) 0.0934855 9.11366i 0.00753328 0.734399i
\(155\) 8.59340 0.690239
\(156\) −1.75720 3.04356i −0.140688 0.243680i
\(157\) −7.06448 + 12.2360i −0.563807 + 0.976543i 0.433352 + 0.901225i \(0.357331\pi\)
−0.997160 + 0.0753182i \(0.976003\pi\)
\(158\) −3.08021 + 5.33509i −0.245049 + 0.424437i
\(159\) 4.78552 + 8.28876i 0.379516 + 0.657342i
\(160\) −14.1923 −1.12200
\(161\) 2.30474 1.29930i 0.181639 0.102399i
\(162\) 0.864859 0.0679498
\(163\) 8.37481 + 14.5056i 0.655966 + 1.13617i 0.981651 + 0.190688i \(0.0610719\pi\)
−0.325685 + 0.945478i \(0.605595\pi\)
\(164\) −4.79109 + 8.29842i −0.374121 + 0.647997i
\(165\) 4.97006 8.60839i 0.386918 0.670162i
\(166\) −0.457147 0.791803i −0.0354815 0.0614558i
\(167\) 17.8518 1.38141 0.690707 0.723135i \(-0.257299\pi\)
0.690707 + 0.723135i \(0.257299\pi\)
\(168\) −6.40583 3.78654i −0.494221 0.292138i
\(169\) −5.12084 −0.393910
\(170\) −7.54084 13.0611i −0.578356 1.00174i
\(171\) 2.99029 5.17933i 0.228673 0.396073i
\(172\) 4.43210 7.67663i 0.337945 0.585337i
\(173\) −1.32680 2.29808i −0.100874 0.174720i 0.811171 0.584809i \(-0.198831\pi\)
−0.912045 + 0.410090i \(0.865497\pi\)
\(174\) 3.51304 0.266323
\(175\) −2.79663 1.65311i −0.211405 0.124964i
\(176\) −0.285132 −0.0214926
\(177\) −4.15309 7.19336i −0.312165 0.540686i
\(178\) 1.42725 2.47207i 0.106977 0.185289i
\(179\) −5.73482 + 9.93299i −0.428640 + 0.742427i −0.996753 0.0805242i \(-0.974341\pi\)
0.568112 + 0.822951i \(0.307674\pi\)
\(180\) −1.56225 2.70590i −0.116443 0.201686i
\(181\) −15.8393 −1.17732 −0.588662 0.808380i \(-0.700345\pi\)
−0.588662 + 0.808380i \(0.700345\pi\)
\(182\) 5.59509 3.15425i 0.414735 0.233809i
\(183\) 3.71282 0.274459
\(184\) 1.40627 + 2.43573i 0.103672 + 0.179564i
\(185\) −1.84289 + 3.19197i −0.135492 + 0.234679i
\(186\) −1.48905 + 2.57912i −0.109183 + 0.189110i
\(187\) −13.9163 24.1038i −1.01766 1.76264i
\(188\) 3.81278 0.278076
\(189\) 0.0271380 2.64561i 0.00197400 0.192440i
\(190\) 12.9080 0.936445
\(191\) −10.8975 18.8751i −0.788518 1.36575i −0.926875 0.375370i \(-0.877515\pi\)
0.138357 0.990382i \(-0.455818\pi\)
\(192\) 2.38764 4.13551i 0.172313 0.298455i
\(193\) −8.01667 + 13.8853i −0.577053 + 0.999485i 0.418762 + 0.908096i \(0.362464\pi\)
−0.995815 + 0.0913890i \(0.970869\pi\)
\(194\) 6.88914 + 11.9323i 0.494612 + 0.856692i
\(195\) 7.00504 0.501641
\(196\) −4.53684 + 7.49847i −0.324060 + 0.535605i
\(197\) 10.6653 0.759870 0.379935 0.925013i \(-0.375946\pi\)
0.379935 + 0.925013i \(0.375946\pi\)
\(198\) 1.72241 + 2.98330i 0.122406 + 0.212014i
\(199\) 1.82952 3.16883i 0.129691 0.224632i −0.793866 0.608093i \(-0.791935\pi\)
0.923557 + 0.383461i \(0.125268\pi\)
\(200\) 1.72674 2.99080i 0.122099 0.211481i
\(201\) 2.23479 + 3.87076i 0.157630 + 0.273023i
\(202\) 6.02313 0.423786
\(203\) 0.110234 10.7464i 0.00773691 0.754251i
\(204\) −8.74872 −0.612533
\(205\) −9.54980 16.5407i −0.666987 1.15526i
\(206\) −2.59669 + 4.49760i −0.180920 + 0.313362i
\(207\) −0.500000 + 0.866025i −0.0347524 + 0.0601929i
\(208\) −0.100470 0.174019i −0.00696632 0.0120660i
\(209\) 23.8212 1.64775
\(210\) 4.97436 2.80431i 0.343263 0.193516i
\(211\) −28.1857 −1.94039 −0.970193 0.242332i \(-0.922088\pi\)
−0.970193 + 0.242332i \(0.922088\pi\)
\(212\) 5.99156 + 10.3777i 0.411502 + 0.712742i
\(213\) −4.74514 + 8.21882i −0.325131 + 0.563144i
\(214\) −2.47262 + 4.28270i −0.169025 + 0.292759i
\(215\) 8.83424 + 15.3014i 0.602490 + 1.04354i
\(216\) 2.81254 0.191369
\(217\) 7.84282 + 4.63596i 0.532405 + 0.314709i
\(218\) 5.41044 0.366441
\(219\) 6.45106 + 11.1736i 0.435922 + 0.755039i
\(220\) 6.22260 10.7779i 0.419528 0.726643i
\(221\) 9.80718 16.9865i 0.659702 1.14264i
\(222\) −0.638666 1.10620i −0.0428645 0.0742435i
\(223\) 24.2280 1.62243 0.811215 0.584748i \(-0.198807\pi\)
0.811215 + 0.584748i \(0.198807\pi\)
\(224\) −12.9527 7.65644i −0.865437 0.511567i
\(225\) 1.22789 0.0818590
\(226\) 1.64126 + 2.84275i 0.109175 + 0.189097i
\(227\) 4.01827 6.95985i 0.266702 0.461942i −0.701306 0.712860i \(-0.747399\pi\)
0.968008 + 0.250919i \(0.0807327\pi\)
\(228\) 3.74390 6.48462i 0.247946 0.429454i
\(229\) −6.88950 11.9330i −0.455271 0.788553i 0.543433 0.839453i \(-0.317124\pi\)
−0.998704 + 0.0509000i \(0.983791\pi\)
\(230\) −2.15832 −0.142315
\(231\) 9.17999 5.17525i 0.603999 0.340507i
\(232\) 11.4245 0.750054
\(233\) 0.918005 + 1.59003i 0.0601405 + 0.104166i 0.894528 0.447012i \(-0.147512\pi\)
−0.834388 + 0.551178i \(0.814178\pi\)
\(234\) −1.21382 + 2.10240i −0.0793501 + 0.137438i
\(235\) −3.79990 + 6.58161i −0.247878 + 0.429337i
\(236\) −5.19974 9.00622i −0.338474 0.586255i
\(237\) −7.12304 −0.462691
\(238\) 0.164005 15.9884i 0.0106309 1.03638i
\(239\) −4.42206 −0.286039 −0.143020 0.989720i \(-0.545681\pi\)
−0.143020 + 0.989720i \(0.545681\pi\)
\(240\) −0.0893234 0.154713i −0.00576580 0.00998666i
\(241\) 14.2294 24.6461i 0.916598 1.58759i 0.112053 0.993702i \(-0.464257\pi\)
0.804545 0.593892i \(-0.202409\pi\)
\(242\) −2.10380 + 3.64389i −0.135237 + 0.234238i
\(243\) 0.500000 + 0.866025i 0.0320750 + 0.0555556i
\(244\) 4.64851 0.297591
\(245\) −8.42233 15.3046i −0.538083 0.977775i
\(246\) 6.61911 0.422019
\(247\) 8.39369 + 14.5383i 0.534078 + 0.925050i
\(248\) −4.84243 + 8.38734i −0.307495 + 0.532596i
\(249\) 0.528580 0.915528i 0.0334974 0.0580192i
\(250\) −4.07072 7.05069i −0.257455 0.445925i
\(251\) −26.7064 −1.68569 −0.842846 0.538156i \(-0.819121\pi\)
−0.842846 + 0.538156i \(0.819121\pi\)
\(252\) 0.0339773 3.31235i 0.00214037 0.208659i
\(253\) −3.98310 −0.250415
\(254\) −9.02995 15.6403i −0.566590 0.981362i
\(255\) 8.71915 15.1020i 0.546015 0.945725i
\(256\) 7.90781 13.6967i 0.494238 0.856046i
\(257\) −2.18216 3.77961i −0.136119 0.235766i 0.789905 0.613229i \(-0.210130\pi\)
−0.926025 + 0.377463i \(0.876796\pi\)
\(258\) −6.12315 −0.381210
\(259\) −3.40392 + 1.91897i −0.211509 + 0.119239i
\(260\) 8.77043 0.543919
\(261\) 2.03099 + 3.51778i 0.125715 + 0.217745i
\(262\) −5.25349 + 9.09932i −0.324562 + 0.562158i
\(263\) −0.774571 + 1.34160i −0.0477621 + 0.0827264i −0.888918 0.458066i \(-0.848542\pi\)
0.841156 + 0.540793i \(0.181876\pi\)
\(264\) 5.60131 + 9.70175i 0.344737 + 0.597101i
\(265\) −23.8852 −1.46726
\(266\) 11.7806 + 6.96359i 0.722312 + 0.426965i
\(267\) 3.30053 0.201989
\(268\) 2.79799 + 4.84627i 0.170915 + 0.296033i
\(269\) 1.85766 3.21756i 0.113264 0.196178i −0.803821 0.594872i \(-0.797203\pi\)
0.917084 + 0.398693i \(0.130536\pi\)
\(270\) −1.07916 + 1.86916i −0.0656756 + 0.113753i
\(271\) −2.01004 3.48150i −0.122101 0.211486i 0.798495 0.602002i \(-0.205630\pi\)
−0.920596 + 0.390516i \(0.872297\pi\)
\(272\) −0.500218 −0.0303302
\(273\) 6.39318 + 3.77907i 0.386933 + 0.228720i
\(274\) −0.716651 −0.0432945
\(275\) 2.44539 + 4.23554i 0.147463 + 0.255413i
\(276\) −0.626009 + 1.08428i −0.0376813 + 0.0652660i
\(277\) 5.69636 9.86639i 0.342261 0.592814i −0.642591 0.766209i \(-0.722140\pi\)
0.984852 + 0.173395i \(0.0554738\pi\)
\(278\) −0.236149 0.409023i −0.0141633 0.0245316i
\(279\) −3.44346 −0.206155
\(280\) 16.1767 9.11968i 0.966743 0.545005i
\(281\) −27.9503 −1.66738 −0.833689 0.552235i \(-0.813775\pi\)
−0.833689 + 0.552235i \(0.813775\pi\)
\(282\) −1.31688 2.28091i −0.0784192 0.135826i
\(283\) 14.9877 25.9594i 0.890925 1.54313i 0.0521567 0.998639i \(-0.483390\pi\)
0.838768 0.544488i \(-0.183276\pi\)
\(284\) −5.94100 + 10.2901i −0.352533 + 0.610606i
\(285\) 7.46248 + 12.9254i 0.442039 + 0.765635i
\(286\) −9.66956 −0.571773
\(287\) 0.207698 20.2479i 0.0122600 1.19520i
\(288\) 5.68699 0.335109
\(289\) −15.9140 27.5638i −0.936115 1.62140i
\(290\) −4.38353 + 7.59249i −0.257410 + 0.445847i
\(291\) −7.96562 + 13.7969i −0.466953 + 0.808786i
\(292\) 8.07684 + 13.9895i 0.472661 + 0.818673i
\(293\) −4.87346 −0.284711 −0.142355 0.989816i \(-0.545468\pi\)
−0.142355 + 0.989816i \(0.545468\pi\)
\(294\) 6.05274 + 0.124188i 0.353003 + 0.00724279i
\(295\) 20.7287 1.20687
\(296\) −2.07695 3.59739i −0.120721 0.209094i
\(297\) −1.99155 + 3.44946i −0.115561 + 0.200158i
\(298\) 8.02100 13.8928i 0.464644 0.804787i
\(299\) −1.40349 2.43092i −0.0811661 0.140584i
\(300\) 1.53733 0.0887580
\(301\) −0.192135 + 18.7308i −0.0110745 + 1.07962i
\(302\) −4.99241 −0.287281
\(303\) 3.48214 + 6.03125i 0.200044 + 0.346486i
\(304\) 0.214061 0.370765i 0.0122773 0.0212648i
\(305\) −4.63280 + 8.02425i −0.265273 + 0.459467i
\(306\) 3.02169 + 5.23372i 0.172738 + 0.299192i
\(307\) −27.9064 −1.59270 −0.796351 0.604835i \(-0.793239\pi\)
−0.796351 + 0.604835i \(0.793239\pi\)
\(308\) 11.4935 6.47951i 0.654904 0.369204i
\(309\) −6.00488 −0.341606
\(310\) −3.71604 6.43638i −0.211057 0.365562i
\(311\) −13.5043 + 23.3901i −0.765758 + 1.32633i 0.174087 + 0.984730i \(0.444303\pi\)
−0.939845 + 0.341602i \(0.889031\pi\)
\(312\) −3.94738 + 6.83706i −0.223476 + 0.387072i
\(313\) −2.10701 3.64945i −0.119095 0.206279i 0.800314 0.599581i \(-0.204666\pi\)
−0.919409 + 0.393302i \(0.871333\pi\)
\(314\) 12.2196 0.689590
\(315\) 5.68391 + 3.35981i 0.320252 + 0.189304i
\(316\) −8.91818 −0.501687
\(317\) 3.99898 + 6.92643i 0.224605 + 0.389027i 0.956201 0.292711i \(-0.0945575\pi\)
−0.731596 + 0.681738i \(0.761224\pi\)
\(318\) 4.13880 7.16861i 0.232092 0.401996i
\(319\) −8.08963 + 14.0117i −0.452932 + 0.784502i
\(320\) 5.95852 + 10.3205i 0.333092 + 0.576932i
\(321\) −5.71797 −0.319146
\(322\) −1.96980 1.16437i −0.109773 0.0648877i
\(323\) 41.7905 2.32528
\(324\) 0.626009 + 1.08428i 0.0347783 + 0.0602377i
\(325\) −1.72333 + 2.98489i −0.0955930 + 0.165572i
\(326\) 7.24304 12.5453i 0.401155 0.694820i
\(327\) 3.12793 + 5.41773i 0.172975 + 0.299601i
\(328\) 21.5255 1.18854
\(329\) −7.01864 + 3.95678i −0.386950 + 0.218145i
\(330\) −8.59680 −0.473238
\(331\) −12.0436 20.8601i −0.661974 1.14657i −0.980096 0.198523i \(-0.936385\pi\)
0.318122 0.948050i \(-0.396948\pi\)
\(332\) 0.661792 1.14626i 0.0363205 0.0629090i
\(333\) 0.738463 1.27905i 0.0404675 0.0700918i
\(334\) −7.71965 13.3708i −0.422401 0.731619i
\(335\) −11.1541 −0.609416
\(336\) 0.00194269 0.189387i 0.000105982 0.0103319i
\(337\) −6.91298 −0.376574 −0.188287 0.982114i \(-0.560294\pi\)
−0.188287 + 0.982114i \(0.560294\pi\)
\(338\) 2.21440 + 3.83546i 0.120448 + 0.208621i
\(339\) −1.89772 + 3.28695i −0.103070 + 0.178523i
\(340\) 10.9165 18.9080i 0.592032 1.02543i
\(341\) −6.85782 11.8781i −0.371372 0.643234i
\(342\) −5.17236 −0.279689
\(343\) 0.569818 18.5115i 0.0307673 0.999527i
\(344\) −19.9126 −1.07361
\(345\) −1.24779 2.16123i −0.0671786 0.116357i
\(346\) −1.14749 + 1.98752i −0.0616896 + 0.106850i
\(347\) −6.09382 + 10.5548i −0.327133 + 0.566611i −0.981942 0.189183i \(-0.939416\pi\)
0.654809 + 0.755795i \(0.272749\pi\)
\(348\) 2.54284 + 4.40432i 0.136310 + 0.236096i
\(349\) 27.0701 1.44903 0.724515 0.689259i \(-0.242064\pi\)
0.724515 + 0.689259i \(0.242064\pi\)
\(350\) −0.0288192 + 2.80950i −0.00154045 + 0.150174i
\(351\) −2.80699 −0.149826
\(352\) 11.3259 + 19.6171i 0.603673 + 1.04559i
\(353\) 14.2886 24.7486i 0.760505 1.31723i −0.182085 0.983283i \(-0.558285\pi\)
0.942590 0.333951i \(-0.108382\pi\)
\(354\) −3.59184 + 6.22125i −0.190904 + 0.330656i
\(355\) −11.8418 20.5107i −0.628499 1.08859i
\(356\) 4.13233 0.219013
\(357\) 16.1048 9.07914i 0.852356 0.480519i
\(358\) 9.91962 0.524268
\(359\) 9.73136 + 16.8552i 0.513601 + 0.889584i 0.999876 + 0.0157775i \(0.00502233\pi\)
−0.486274 + 0.873806i \(0.661644\pi\)
\(360\) −3.50945 + 6.07854i −0.184964 + 0.320367i
\(361\) −8.38365 + 14.5209i −0.441245 + 0.764258i
\(362\) 6.84937 + 11.8635i 0.359995 + 0.623529i
\(363\) −4.86506 −0.255350
\(364\) 8.00438 + 4.73146i 0.419544 + 0.247996i
\(365\) −32.1982 −1.68533
\(366\) −1.60553 2.78086i −0.0839225 0.145358i
\(367\) −2.40920 + 4.17286i −0.125759 + 0.217821i −0.922029 0.387120i \(-0.873470\pi\)
0.796270 + 0.604941i \(0.206803\pi\)
\(368\) −0.0357927 + 0.0619948i −0.00186583 + 0.00323170i
\(369\) 3.82670 + 6.62803i 0.199210 + 0.345042i
\(370\) 3.18768 0.165719
\(371\) −21.7990 12.8856i −1.13175 0.668985i
\(372\) −4.31127 −0.223529
\(373\) 12.3176 + 21.3347i 0.637782 + 1.10467i 0.985918 + 0.167227i \(0.0534813\pi\)
−0.348136 + 0.937444i \(0.613185\pi\)
\(374\) −12.0357 + 20.8464i −0.622350 + 1.07794i
\(375\) 4.70679 8.15241i 0.243058 0.420988i
\(376\) −4.28253 7.41755i −0.220854 0.382531i
\(377\) −11.4019 −0.587229
\(378\) −1.99327 + 1.12372i −0.102523 + 0.0577977i
\(379\) 31.7983 1.63337 0.816684 0.577085i \(-0.195810\pi\)
0.816684 + 0.577085i \(0.195810\pi\)
\(380\) 9.34316 + 16.1828i 0.479294 + 0.830162i
\(381\) 10.4409 18.0843i 0.534906 0.926484i
\(382\) −9.42483 + 16.3243i −0.482216 + 0.835223i
\(383\) 11.1827 + 19.3690i 0.571409 + 0.989709i 0.996422 + 0.0845218i \(0.0269363\pi\)
−0.425013 + 0.905187i \(0.639730\pi\)
\(384\) 7.24404 0.369671
\(385\) −0.269755 + 26.2977i −0.0137480 + 1.34025i
\(386\) 13.8666 0.705791
\(387\) −3.53997 6.13140i −0.179947 0.311677i
\(388\) −9.97310 + 17.2739i −0.506308 + 0.876950i
\(389\) −9.95483 + 17.2423i −0.504730 + 0.874218i 0.495255 + 0.868748i \(0.335075\pi\)
−0.999985 + 0.00547015i \(0.998259\pi\)
\(390\) −3.02919 5.24670i −0.153389 0.265677i
\(391\) −6.98770 −0.353383
\(392\) 19.6836 + 0.403862i 0.994173 + 0.0203981i
\(393\) −12.1488 −0.612825
\(394\) −4.61198 7.98819i −0.232348 0.402439i
\(395\) 8.88803 15.3945i 0.447206 0.774583i
\(396\) −2.49345 + 4.31879i −0.125301 + 0.217027i
\(397\) −13.5533 23.4750i −0.680222 1.17818i −0.974913 0.222586i \(-0.928550\pi\)
0.294691 0.955593i \(-0.404783\pi\)
\(398\) −3.16456 −0.158625
\(399\) −0.162301 + 15.8223i −0.00812521 + 0.792105i
\(400\) 0.0878987 0.00439494
\(401\) 17.0891 + 29.5992i 0.853390 + 1.47811i 0.878131 + 0.478420i \(0.158790\pi\)
−0.0247414 + 0.999694i \(0.507876\pi\)
\(402\) 1.93278 3.34767i 0.0963981 0.166966i
\(403\) 4.83287 8.37077i 0.240742 0.416978i
\(404\) 4.35971 + 7.55123i 0.216903 + 0.375688i
\(405\) −2.49557 −0.124006
\(406\) −8.09664 + 4.56451i −0.401829 + 0.226533i
\(407\) 5.88274 0.291596
\(408\) 9.82658 + 17.0201i 0.486488 + 0.842623i
\(409\) −7.57386 + 13.1183i −0.374503 + 0.648659i −0.990253 0.139284i \(-0.955520\pi\)
0.615749 + 0.787942i \(0.288853\pi\)
\(410\) −8.25923 + 14.3054i −0.407895 + 0.706494i
\(411\) −0.414316 0.717617i −0.0204367 0.0353974i
\(412\) −7.51822 −0.370396
\(413\) 18.9181 + 11.1827i 0.930901 + 0.550264i
\(414\) 0.864859 0.0425055
\(415\) 1.31911 + 2.28477i 0.0647526 + 0.112155i
\(416\) −7.98165 + 13.8246i −0.391332 + 0.677808i
\(417\) 0.273050 0.472936i 0.0133713 0.0231598i
\(418\) −10.3010 17.8419i −0.503839 0.872674i
\(419\) 14.0504 0.686405 0.343202 0.939262i \(-0.388488\pi\)
0.343202 + 0.939262i \(0.388488\pi\)
\(420\) 7.11636 + 4.20654i 0.347243 + 0.205258i
\(421\) −26.0914 −1.27161 −0.635807 0.771848i \(-0.719333\pi\)
−0.635807 + 0.771848i \(0.719333\pi\)
\(422\) 12.1884 + 21.1108i 0.593320 + 1.02766i
\(423\) 1.52265 2.63732i 0.0740340 0.128231i
\(424\) 13.4595 23.3125i 0.653649 1.13215i
\(425\) 4.29004 + 7.43058i 0.208098 + 0.360436i
\(426\) 8.20775 0.397667
\(427\) −8.55706 + 4.82408i −0.414105 + 0.233453i
\(428\) −7.15900 −0.346043
\(429\) −5.59025 9.68259i −0.269900 0.467480i
\(430\) 7.64038 13.2335i 0.368452 0.638177i
\(431\) −1.54723 + 2.67988i −0.0745274 + 0.129085i −0.900881 0.434067i \(-0.857078\pi\)
0.826353 + 0.563152i \(0.190411\pi\)
\(432\) 0.0357927 + 0.0619948i 0.00172208 + 0.00298273i
\(433\) 18.9836 0.912293 0.456146 0.889905i \(-0.349229\pi\)
0.456146 + 0.889905i \(0.349229\pi\)
\(434\) 0.0808199 7.87892i 0.00387948 0.378200i
\(435\) −10.1370 −0.486031
\(436\) 3.91622 + 6.78310i 0.187553 + 0.324851i
\(437\) 2.99029 5.17933i 0.143045 0.247761i
\(438\) 5.57926 9.66356i 0.266587 0.461743i
\(439\) 5.98560 + 10.3674i 0.285677 + 0.494808i 0.972773 0.231759i \(-0.0744481\pi\)
−0.687096 + 0.726567i \(0.741115\pi\)
\(440\) −27.9569 −1.33280
\(441\) 3.37491 + 6.13270i 0.160710 + 0.292033i
\(442\) −16.9637 −0.806879
\(443\) −9.74098 16.8719i −0.462808 0.801607i 0.536291 0.844033i \(-0.319825\pi\)
−0.999100 + 0.0424256i \(0.986491\pi\)
\(444\) 0.924569 1.60140i 0.0438781 0.0759991i
\(445\) −4.11836 + 7.13321i −0.195229 + 0.338147i
\(446\) −10.4769 18.1466i −0.496097 0.859265i
\(447\) 18.5487 0.877322
\(448\) −0.129591 + 12.6335i −0.00612262 + 0.596878i
\(449\) −25.9358 −1.22399 −0.611993 0.790864i \(-0.709632\pi\)
−0.611993 + 0.790864i \(0.709632\pi\)
\(450\) −0.530974 0.919674i −0.0250304 0.0433538i
\(451\) −15.2421 + 26.4001i −0.717723 + 1.24313i
\(452\) −2.37598 + 4.11532i −0.111757 + 0.193568i
\(453\) −2.88625 4.99914i −0.135608 0.234880i
\(454\) −6.95048 −0.326202
\(455\) −16.1448 + 9.10167i −0.756878 + 0.426693i
\(456\) −16.8206 −0.787697
\(457\) −2.30666 3.99525i −0.107901 0.186890i 0.807019 0.590526i \(-0.201080\pi\)
−0.914920 + 0.403636i \(0.867746\pi\)
\(458\) −5.95845 + 10.3203i −0.278420 + 0.482238i
\(459\) −3.49385 + 6.05152i −0.163079 + 0.282461i
\(460\) −1.56225 2.70590i −0.0728403 0.126163i
\(461\) 13.8181 0.643571 0.321786 0.946813i \(-0.395717\pi\)
0.321786 + 0.946813i \(0.395717\pi\)
\(462\) −7.84591 4.63779i −0.365025 0.215769i
\(463\) −34.1291 −1.58611 −0.793057 0.609147i \(-0.791512\pi\)
−0.793057 + 0.609147i \(0.791512\pi\)
\(464\) 0.145389 + 0.251822i 0.00674954 + 0.0116905i
\(465\) 4.29670 7.44211i 0.199255 0.345119i
\(466\) 0.793946 1.37515i 0.0367788 0.0637028i
\(467\) 13.9858 + 24.2241i 0.647185 + 1.12096i 0.983792 + 0.179312i \(0.0573871\pi\)
−0.336608 + 0.941645i \(0.609280\pi\)
\(468\) −3.51440 −0.162453
\(469\) −10.1799 6.01742i −0.470064 0.277859i
\(470\) 6.57275 0.303179
\(471\) 7.06448 + 12.2360i 0.325514 + 0.563807i
\(472\) −11.6807 + 20.2316i −0.537649 + 0.931235i
\(473\) 14.1000 24.4220i 0.648320 1.12292i
\(474\) 3.08021 + 5.33509i 0.141479 + 0.245049i
\(475\) −7.34346 −0.336941
\(476\) 20.1635 11.3673i 0.924193 0.521017i
\(477\) 9.57104 0.438228
\(478\) 1.91223 + 3.31208i 0.0874634 + 0.151491i
\(479\) 16.3134 28.2557i 0.745380 1.29104i −0.204637 0.978838i \(-0.565601\pi\)
0.950017 0.312199i \(-0.101065\pi\)
\(480\) −7.09615 + 12.2909i −0.323893 + 0.561000i
\(481\) 2.07285 + 3.59029i 0.0945140 + 0.163703i
\(482\) −24.6129 −1.12109
\(483\) 0.0271380 2.64561i 0.00123482 0.120380i
\(484\) −6.09115 −0.276870
\(485\) −19.8788 34.4311i −0.902649 1.56343i
\(486\) 0.432430 0.748990i 0.0196154 0.0339749i
\(487\) 12.9711 22.4665i 0.587775 1.01806i −0.406748 0.913540i \(-0.633337\pi\)
0.994523 0.104516i \(-0.0333293\pi\)
\(488\) −5.22122 9.04342i −0.236354 0.409376i
\(489\) 16.7496 0.757444
\(490\) −7.82093 + 12.9264i −0.353314 + 0.583956i
\(491\) 26.0005 1.17339 0.586693 0.809810i \(-0.300430\pi\)
0.586693 + 0.809810i \(0.300430\pi\)
\(492\) 4.79109 + 8.29842i 0.215999 + 0.374121i
\(493\) −14.1919 + 24.5812i −0.639173 + 1.10708i
\(494\) 7.25937 12.5736i 0.326614 0.565713i
\(495\) −4.97006 8.60839i −0.223387 0.386918i
\(496\) −0.246502 −0.0110683
\(497\) 0.257547 25.1076i 0.0115526 1.12623i
\(498\) −0.914295 −0.0409705
\(499\) 11.6036 + 20.0980i 0.519448 + 0.899711i 0.999744 + 0.0226043i \(0.00719577\pi\)
−0.480296 + 0.877106i \(0.659471\pi\)
\(500\) 5.89299 10.2070i 0.263543 0.456469i
\(501\) 8.92590 15.4601i 0.398780 0.690707i
\(502\) 11.5486 + 20.0028i 0.515441 + 0.892769i
\(503\) 12.5204 0.558256 0.279128 0.960254i \(-0.409955\pi\)
0.279128 + 0.960254i \(0.409955\pi\)
\(504\) −6.48216 + 3.65434i −0.288738 + 0.162777i
\(505\) −17.3799 −0.773395
\(506\) 1.72241 + 2.98330i 0.0765705 + 0.132624i
\(507\) −2.56042 + 4.43477i −0.113712 + 0.196955i
\(508\) 13.0723 22.6418i 0.579988 1.00457i
\(509\) 12.1059 + 20.9680i 0.536585 + 0.929392i 0.999085 + 0.0427725i \(0.0136191\pi\)
−0.462500 + 0.886619i \(0.653048\pi\)
\(510\) −15.0817 −0.667828
\(511\) −29.3858 17.3702i −1.29995 0.768413i
\(512\) 0.809780 0.0357875
\(513\) −2.99029 5.17933i −0.132024 0.228673i
\(514\) −1.88726 + 3.26883i −0.0832436 + 0.144182i
\(515\) 7.49281 12.9779i 0.330172 0.571876i
\(516\) −4.43210 7.67663i −0.195112 0.337945i
\(517\) 12.1298 0.533466
\(518\) 2.90925 + 1.71968i 0.127825 + 0.0755586i
\(519\) −2.65359 −0.116480
\(520\) −9.85097 17.0624i −0.431994 0.748235i
\(521\) 3.41410 5.91340i 0.149575 0.259071i −0.781496 0.623911i \(-0.785543\pi\)
0.931070 + 0.364840i \(0.118876\pi\)
\(522\) 1.75652 3.04238i 0.0768809 0.133162i
\(523\) 4.77002 + 8.26192i 0.208579 + 0.361269i 0.951267 0.308369i \(-0.0997830\pi\)
−0.742688 + 0.669637i \(0.766450\pi\)
\(524\) −15.2105 −0.664474
\(525\) −2.82995 + 1.59540i −0.123509 + 0.0696288i
\(526\) 1.33979 0.0584177
\(527\) −12.0309 20.8382i −0.524075 0.907725i
\(528\) −0.142566 + 0.246932i −0.00620439 + 0.0107463i
\(529\) −0.500000 + 0.866025i −0.0217391 + 0.0376533i
\(530\) 10.3287 + 17.8898i 0.448649 + 0.777083i
\(531\) −8.30618 −0.360457
\(532\) −0.203204 + 19.8098i −0.00881000 + 0.858863i
\(533\) −21.4830 −0.930530
\(534\) −1.42725 2.47207i −0.0617631 0.106977i
\(535\) 7.13480 12.3578i 0.308464 0.534276i
\(536\) 6.28542 10.8867i 0.271489 0.470233i
\(537\) 5.73482 + 9.93299i 0.247476 + 0.428640i
\(538\) −3.21323 −0.138532
\(539\) −14.4332 + 23.8552i −0.621683 + 1.02752i
\(540\) −3.12450 −0.134457
\(541\) −16.5874 28.7302i −0.713147 1.23521i −0.963670 0.267097i \(-0.913936\pi\)
0.250522 0.968111i \(-0.419398\pi\)
\(542\) −1.73840 + 3.01100i −0.0746709 + 0.129334i
\(543\) −7.91963 + 13.7172i −0.339864 + 0.588662i
\(544\) 19.8695 + 34.4149i 0.851897 + 1.47553i
\(545\) −15.6119 −0.668742
\(546\) 0.0658815 6.42261i 0.00281947 0.274863i
\(547\) 17.2100 0.735848 0.367924 0.929856i \(-0.380069\pi\)
0.367924 + 0.929856i \(0.380069\pi\)
\(548\) −0.518732 0.898470i −0.0221591 0.0383807i
\(549\) 1.85641 3.21539i 0.0792296 0.137230i
\(550\) 2.11492 3.66315i 0.0901805 0.156197i
\(551\) −12.1465 21.0383i −0.517458 0.896264i
\(552\) 2.81254 0.119710
\(553\) 16.4167 9.25499i 0.698110 0.393562i
\(554\) −9.85311 −0.418619
\(555\) 1.84289 + 3.19197i 0.0782262 + 0.135492i
\(556\) 0.341863 0.592124i 0.0144982 0.0251117i
\(557\) −8.94619 + 15.4953i −0.379062 + 0.656555i −0.990926 0.134408i \(-0.957087\pi\)
0.611864 + 0.790963i \(0.290420\pi\)
\(558\) 1.48905 + 2.57912i 0.0630367 + 0.109183i
\(559\) 19.8733 0.840550
\(560\) 0.406886 + 0.240514i 0.0171941 + 0.0101636i
\(561\) −27.8327 −1.17510
\(562\) 12.0866 + 20.9345i 0.509841 + 0.883070i
\(563\) −8.20800 + 14.2167i −0.345926 + 0.599161i −0.985522 0.169550i \(-0.945768\pi\)
0.639596 + 0.768712i \(0.279102\pi\)
\(564\) 1.90639 3.30197i 0.0802736 0.139038i
\(565\) −4.73590 8.20282i −0.199241 0.345095i
\(566\) −25.9245 −1.08969
\(567\) −2.27760 1.34631i −0.0956501 0.0565396i
\(568\) 26.6918 1.11996
\(569\) −2.47067 4.27933i −0.103576 0.179399i 0.809580 0.587010i \(-0.199695\pi\)
−0.913155 + 0.407611i \(0.866362\pi\)
\(570\) 6.45400 11.1787i 0.270328 0.468222i
\(571\) 21.4309 37.1194i 0.896855 1.55340i 0.0653629 0.997862i \(-0.479179\pi\)
0.831492 0.555537i \(-0.187487\pi\)
\(572\) −6.99909 12.1228i −0.292647 0.506879i
\(573\) −21.7951 −0.910502
\(574\) −15.2553 + 8.60023i −0.636744 + 0.358967i
\(575\) 1.22789 0.0512063
\(576\) −2.38764 4.13551i −0.0994849 0.172313i
\(577\) −6.90651 + 11.9624i −0.287522 + 0.498002i −0.973218 0.229886i \(-0.926165\pi\)
0.685696 + 0.727888i \(0.259498\pi\)
\(578\) −13.7633 + 23.8388i −0.572479 + 0.991563i
\(579\) 8.01667 + 13.8853i 0.333162 + 0.577053i
\(580\) −12.6917 −0.526993
\(581\) −0.0286892 + 2.79684i −0.00119023 + 0.116032i
\(582\) 13.7783 0.571128
\(583\) 19.0612 + 33.0149i 0.789434 + 1.36734i
\(584\) 18.1438 31.4261i 0.750798 1.30042i
\(585\) 3.50252 6.06654i 0.144811 0.250821i
\(586\) 2.10743 + 3.65018i 0.0870572 + 0.150787i
\(587\) 19.9885 0.825012 0.412506 0.910955i \(-0.364654\pi\)
0.412506 + 0.910955i \(0.364654\pi\)
\(588\) 4.22545 + 7.67825i 0.174254 + 0.316646i
\(589\) 20.5939 0.848556
\(590\) −8.96370 15.5256i −0.369029 0.639178i
\(591\) 5.33264 9.23640i 0.219355 0.379935i
\(592\) 0.0528632 0.0915617i 0.00217266 0.00376316i
\(593\) 1.36034 + 2.35618i 0.0558625 + 0.0967566i 0.892604 0.450841i \(-0.148876\pi\)
−0.836742 + 0.547598i \(0.815542\pi\)
\(594\) 3.44482 0.141343
\(595\) −0.473241 + 46.1350i −0.0194010 + 1.89135i
\(596\) 23.2233 0.951262
\(597\) −1.82952 3.16883i −0.0748774 0.129691i
\(598\) −1.21382 + 2.10240i −0.0496369 + 0.0859737i
\(599\) −8.73492 + 15.1293i −0.356899 + 0.618168i −0.987441 0.157988i \(-0.949499\pi\)
0.630542 + 0.776155i \(0.282833\pi\)
\(600\) −1.72674 2.99080i −0.0704937 0.122099i
\(601\) 27.6015 1.12589 0.562944 0.826495i \(-0.309669\pi\)
0.562944 + 0.826495i \(0.309669\pi\)
\(602\) 14.1122 7.95583i 0.575172 0.324255i
\(603\) 4.46957 0.182015
\(604\) −3.61364 6.25901i −0.147037 0.254676i
\(605\) 6.07056 10.5145i 0.246803 0.427476i
\(606\) 3.01156 5.21618i 0.122336 0.211893i
\(607\) 6.45863 + 11.1867i 0.262148 + 0.454053i 0.966812 0.255487i \(-0.0822359\pi\)
−0.704665 + 0.709540i \(0.748903\pi\)
\(608\) −34.0115 −1.37935
\(609\) −9.25156 5.46868i −0.374892 0.221602i
\(610\) 8.01345 0.324455
\(611\) 4.27407 + 7.40291i 0.172910 + 0.299490i
\(612\) −4.37436 + 7.57662i −0.176823 + 0.306267i
\(613\) 19.4271 33.6486i 0.784651 1.35906i −0.144556 0.989497i \(-0.546175\pi\)
0.929207 0.369559i \(-0.120491\pi\)
\(614\) 12.0675 + 20.9016i 0.487007 + 0.843520i
\(615\) −19.0996 −0.770170
\(616\) −25.5151 15.0822i −1.02803 0.607678i
\(617\) −25.3417 −1.02022 −0.510108 0.860110i \(-0.670395\pi\)
−0.510108 + 0.860110i \(0.670395\pi\)
\(618\) 2.59669 + 4.49760i 0.104454 + 0.180920i
\(619\) −17.7926 + 30.8177i −0.715145 + 1.23867i 0.247758 + 0.968822i \(0.420306\pi\)
−0.962904 + 0.269846i \(0.913027\pi\)
\(620\) 5.37955 9.31765i 0.216048 0.374206i
\(621\) 0.500000 + 0.866025i 0.0200643 + 0.0347524i
\(622\) 23.3586 0.936596
\(623\) −7.60686 + 4.28840i −0.304762 + 0.171811i
\(624\) −0.200939 −0.00804401
\(625\) 14.8159 + 25.6618i 0.592634 + 1.02647i
\(626\) −1.82227 + 3.15626i −0.0728324 + 0.126149i
\(627\) 11.9106 20.6298i 0.475664 0.823874i
\(628\) 8.84486 + 15.3198i 0.352948 + 0.611325i
\(629\) 10.3203 0.411498
\(630\) 0.0585725 5.71008i 0.00233358 0.227495i
\(631\) −12.5559 −0.499842 −0.249921 0.968266i \(-0.580405\pi\)
−0.249921 + 0.968266i \(0.580405\pi\)
\(632\) 10.0169 + 17.3498i 0.398451 + 0.690138i
\(633\) −14.0929 + 24.4096i −0.560141 + 0.970193i
\(634\) 3.45855 5.99039i 0.137357 0.237909i
\(635\) 26.0562 + 45.1306i 1.03401 + 1.79095i
\(636\) 11.9831 0.475161
\(637\) −19.6448 0.403064i −0.778354 0.0159700i
\(638\) 13.9928 0.553980
\(639\) 4.74514 + 8.21882i 0.187715 + 0.325131i
\(640\) −9.03901 + 15.6560i −0.357298 + 0.618859i
\(641\) 22.0244 38.1474i 0.869912 1.50673i 0.00782674 0.999969i \(-0.497509\pi\)
0.862086 0.506763i \(-0.169158\pi\)
\(642\) 2.47262 + 4.28270i 0.0975865 + 0.169025i
\(643\) 27.1797 1.07186 0.535931 0.844262i \(-0.319961\pi\)
0.535931 + 0.844262i \(0.319961\pi\)
\(644\) 0.0339773 3.31235i 0.00133889 0.130525i
\(645\) 17.6685 0.695696
\(646\) −18.0714 31.3006i −0.711011 1.23151i
\(647\) −16.8824 + 29.2412i −0.663716 + 1.14959i 0.315916 + 0.948787i \(0.397688\pi\)
−0.979632 + 0.200803i \(0.935645\pi\)
\(648\) 1.40627 2.43573i 0.0552435 0.0956845i
\(649\) −16.5422 28.6519i −0.649336 1.12468i
\(650\) 2.98087 0.116919
\(651\) 7.93627 4.47410i 0.311047 0.175354i
\(652\) 20.9708 0.821281
\(653\) −15.9665 27.6548i −0.624817 1.08221i −0.988576 0.150722i \(-0.951840\pi\)
0.363759 0.931493i \(-0.381493\pi\)
\(654\) 2.70522 4.68558i 0.105782 0.183220i
\(655\) 15.1591 26.2563i 0.592315 1.02592i
\(656\) 0.273936 + 0.474471i 0.0106954 + 0.0185250i
\(657\) 12.9021 0.503359
\(658\) 5.99866 + 3.54586i 0.233852 + 0.138232i
\(659\) 47.4986 1.85028 0.925142 0.379622i \(-0.123946\pi\)
0.925142 + 0.379622i \(0.123946\pi\)
\(660\) −6.22260 10.7779i −0.242214 0.419528i
\(661\) 14.7146 25.4865i 0.572332 0.991308i −0.423994 0.905665i \(-0.639372\pi\)
0.996326 0.0856431i \(-0.0272945\pi\)
\(662\) −10.4160 + 18.0410i −0.404829 + 0.701184i
\(663\) −9.80718 16.9865i −0.380879 0.659702i
\(664\) −2.97330 −0.115387
\(665\) −33.9931 20.0936i −1.31820 0.779197i
\(666\) −1.27733 −0.0494956
\(667\) 2.03099 + 3.51778i 0.0786403 + 0.136209i
\(668\) 11.1754 19.3563i 0.432389 0.748920i
\(669\) 12.1140 20.9821i 0.468355 0.811215i
\(670\) 4.82338 + 8.35435i 0.186344 + 0.322757i
\(671\) 14.7885 0.570904
\(672\) −13.1070 + 7.38913i −0.505614 + 0.285042i
\(673\) −21.8311 −0.841528 −0.420764 0.907170i \(-0.638238\pi\)
−0.420764 + 0.907170i \(0.638238\pi\)
\(674\) 2.98938 + 5.17776i 0.115147 + 0.199440i
\(675\) 0.613943 1.06338i 0.0236307 0.0409295i
\(676\) −3.20569 + 5.55242i −0.123296 + 0.213554i
\(677\) −15.9797 27.6776i −0.614148 1.06374i −0.990533 0.137272i \(-0.956167\pi\)
0.376385 0.926463i \(-0.377167\pi\)
\(678\) 3.28252 0.126065
\(679\) 0.432342 42.1479i 0.0165918 1.61749i
\(680\) −49.0459 −1.88083
\(681\) −4.01827 6.95985i −0.153981 0.266702i
\(682\) −5.93105 + 10.2729i −0.227112 + 0.393369i
\(683\) −2.90119 + 5.02502i −0.111011 + 0.192277i −0.916178 0.400771i \(-0.868742\pi\)
0.805167 + 0.593048i \(0.202076\pi\)
\(684\) −3.74390 6.48462i −0.143151 0.247946i
\(685\) 2.06791 0.0790109
\(686\) −14.1113 + 7.57813i −0.538773 + 0.289334i
\(687\) −13.7790 −0.525702
\(688\) −0.253410 0.438919i −0.00966117 0.0167336i
\(689\) −13.4329 + 23.2664i −0.511752 + 0.886380i
\(690\) −1.07916 + 1.86916i −0.0410829 + 0.0711577i
\(691\) −25.2129 43.6701i −0.959145 1.66129i −0.724585 0.689185i \(-0.757969\pi\)
−0.234559 0.972102i \(-0.575365\pi\)
\(692\) −3.32235 −0.126297
\(693\) 0.108093 10.5377i 0.00410613 0.400295i
\(694\) 10.5406 0.400115
\(695\) 0.681415 + 1.18025i 0.0258475 + 0.0447693i
\(696\) 5.71224 9.89389i 0.216522 0.375027i
\(697\) −26.7398 + 46.3147i −1.01284 + 1.75429i
\(698\) −11.7059 20.2752i −0.443076 0.767430i
\(699\) 1.83601 0.0694443
\(700\) −3.54315 + 1.99746i −0.133918 + 0.0754971i
\(701\) 28.8283 1.08883 0.544414 0.838817i \(-0.316752\pi\)
0.544414 + 0.838817i \(0.316752\pi\)
\(702\) 1.21382 + 2.10240i 0.0458128 + 0.0793501i
\(703\) −4.41643 + 7.64948i −0.166569 + 0.288506i
\(704\) 9.51019 16.4721i 0.358429 0.620817i
\(705\) 3.79990 + 6.58161i 0.143112 + 0.247878i
\(706\) −24.7153 −0.930171
\(707\) −15.8618 9.37608i −0.596546 0.352624i
\(708\) −10.3995 −0.390837
\(709\) −16.2278 28.1074i −0.609447 1.05559i −0.991332 0.131384i \(-0.958058\pi\)
0.381884 0.924210i \(-0.375275\pi\)
\(710\) −10.2415 + 17.7388i −0.384358 + 0.665727i
\(711\) −3.56152 + 6.16873i −0.133567 + 0.231346i
\(712\) −4.64144 8.03921i −0.173945 0.301282i
\(713\) −3.44346 −0.128959
\(714\) −13.7644 8.13625i −0.515119 0.304491i
\(715\) 27.9017 1.04347
\(716\) 7.18009 + 12.4363i 0.268333 + 0.464766i
\(717\) −2.21103 + 3.82962i −0.0825725 + 0.143020i
\(718\) 8.41626 14.5774i 0.314092 0.544023i
\(719\) 8.01756 + 13.8868i 0.299004 + 0.517891i 0.975908 0.218180i \(-0.0700121\pi\)
−0.676904 + 0.736071i \(0.736679\pi\)
\(720\) −0.178647 −0.00665777
\(721\) 13.8397 7.80216i 0.515416 0.290568i
\(722\) 14.5014 0.539685
\(723\) −14.2294 24.6461i −0.529198 0.916598i
\(724\) −9.91552 + 17.1742i −0.368508 + 0.638274i
\(725\) 2.49382 4.31943i 0.0926183 0.160420i
\(726\) 2.10380 + 3.64389i 0.0780793 + 0.135237i
\(727\) 40.6150 1.50633 0.753164 0.657833i \(-0.228527\pi\)
0.753164 + 0.657833i \(0.228527\pi\)
\(728\) 0.214248 20.8865i 0.00794055 0.774104i
\(729\) 1.00000 0.0370370
\(730\) 13.9234 + 24.1161i 0.515330 + 0.892577i
\(731\) 24.7362 42.8444i 0.914902 1.58466i
\(732\) 2.32426 4.02573i 0.0859070 0.148795i
\(733\) 1.20729 + 2.09108i 0.0445922 + 0.0772359i 0.887460 0.460885i \(-0.152468\pi\)
−0.842868 + 0.538121i \(0.819134\pi\)
\(734\) 4.16724 0.153816
\(735\) −17.4653 0.358348i −0.644219 0.0132178i
\(736\) 5.68699 0.209625
\(737\) 8.90137 + 15.4176i 0.327886 + 0.567916i
\(738\) 3.30955 5.73232i 0.121826 0.211009i
\(739\) −1.39817 + 2.42171i −0.0514327 + 0.0890840i −0.890596 0.454796i \(-0.849712\pi\)
0.839163 + 0.543880i \(0.183045\pi\)
\(740\) 2.30733 + 3.99641i 0.0848191 + 0.146911i
\(741\) 16.7874 0.616700
\(742\) −0.224638 + 21.8993i −0.00824671 + 0.803950i
\(743\) 3.56515 0.130793 0.0653964 0.997859i \(-0.479169\pi\)
0.0653964 + 0.997859i \(0.479169\pi\)
\(744\) 4.84243 + 8.38734i 0.177532 + 0.307495i
\(745\) −23.1448 + 40.0879i −0.847959 + 1.46871i
\(746\) 10.6530 18.4516i 0.390034 0.675559i
\(747\) −0.528580 0.915528i −0.0193397 0.0334974i
\(748\) −34.8470 −1.27413
\(749\) 13.1784 7.42938i 0.481529 0.271464i
\(750\) −8.14143 −0.297283
\(751\) 1.89657 + 3.28495i 0.0692067 + 0.119870i 0.898552 0.438866i \(-0.144620\pi\)
−0.829346 + 0.558736i \(0.811287\pi\)
\(752\) 0.109000 0.188794i 0.00397482 0.00688459i
\(753\) −13.3532 + 23.1284i −0.486617 + 0.842846i
\(754\) 4.93053 + 8.53993i 0.179559 + 0.311006i
\(755\) 14.4057 0.524278
\(756\) −2.85159 1.68560i −0.103711 0.0613048i
\(757\) −6.45659 −0.234669 −0.117334 0.993092i \(-0.537435\pi\)
−0.117334 + 0.993092i \(0.537435\pi\)
\(758\) −13.7505 23.8166i −0.499441 0.865058i
\(759\) −1.99155 + 3.44946i −0.0722886 + 0.125208i
\(760\) 20.9885 36.3532i 0.761334 1.31867i
\(761\) 11.2002 + 19.3993i 0.406007 + 0.703225i 0.994438 0.105322i \(-0.0335875\pi\)
−0.588431 + 0.808547i \(0.700254\pi\)
\(762\) −18.0599 −0.654241
\(763\) −14.2483 8.42231i −0.515824 0.304908i
\(764\) −27.2878 −0.987239
\(765\) −8.71915 15.1020i −0.315242 0.546015i
\(766\) 9.67146 16.7515i 0.349444 0.605255i
\(767\) 11.6577 20.1917i 0.420934 0.729078i
\(768\) −7.90781 13.6967i −0.285349 0.494238i
\(769\) 53.5732 1.93190 0.965950 0.258731i \(-0.0833042\pi\)
0.965950 + 0.258731i \(0.0833042\pi\)
\(770\) 19.8134 11.1699i 0.714024 0.402534i
\(771\) −4.36432 −0.157177
\(772\) 10.0370 + 17.3846i 0.361240 + 0.625687i
\(773\) 22.2622 38.5592i 0.800715 1.38688i −0.118431 0.992962i \(-0.537786\pi\)
0.919146 0.393917i \(-0.128880\pi\)
\(774\) −3.06157 + 5.30280i −0.110046 + 0.190605i
\(775\) 2.11409 + 3.66170i 0.0759402 + 0.131532i
\(776\) 44.8072 1.60849
\(777\) −0.0400808 + 3.90737i −0.00143789 + 0.140176i