Properties

Label 462.2.j.h.169.2
Level $462$
Weight $2$
Character 462.169
Analytic conductor $3.689$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.j (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.20164000000.8
Defining polynomial: \(x^{8} + 6 x^{6} + 76 x^{4} + 781 x^{2} + 5041\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 169.2
Root \(2.50900 - 1.82290i\) of defining polynomial
Character \(\chi\) \(=\) 462.169
Dual form 462.2.j.h.421.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.69998 - 1.23511i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.69998 - 1.23511i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.809017 - 0.587785i) q^{9} +2.10130 q^{10} +(3.19998 + 0.871839i) q^{11} -1.00000 q^{12} +(4.47770 + 3.25324i) q^{13} +(0.309017 - 0.951057i) q^{14} +(0.649336 + 1.99845i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.50000 + 1.08981i) q^{17} +(-0.309017 - 0.951057i) q^{18} +(0.283278 - 0.871839i) q^{19} +(1.69998 + 1.23511i) q^{20} +1.00000 q^{21} +(2.07639 + 2.58624i) q^{22} -1.37084 q^{23} +(-0.809017 - 0.587785i) q^{24} +(-0.180638 + 0.555947i) q^{25} +(1.71033 + 5.26385i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.809017 - 0.587785i) q^{28} +(0.675075 + 2.07767i) q^{29} +(-0.649336 + 1.99845i) q^{30} +(-8.18668 - 5.94797i) q^{31} -1.00000 q^{32} +(-1.81802 + 2.77395i) q^{33} -1.85410 q^{34} +(-1.69998 - 1.23511i) q^{35} +(0.309017 - 0.951057i) q^{36} +(1.11460 + 3.43037i) q^{37} +(0.741631 - 0.538826i) q^{38} +(-4.47770 + 3.25324i) q^{39} +(0.649336 + 1.99845i) q^{40} +(3.45540 - 10.6346i) q^{41} +(0.809017 + 0.587785i) q^{42} -6.17346 q^{43} +(0.159681 + 3.31278i) q^{44} -2.10130 q^{45} +(-1.10903 - 0.805760i) q^{46} +(1.29311 - 3.97978i) q^{47} +(-0.309017 - 0.951057i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(-0.472917 + 0.343594i) q^{50} +(-0.572949 - 1.76336i) q^{51} +(-1.71033 + 5.26385i) q^{52} +(5.76181 + 4.18620i) q^{53} +1.00000 q^{54} +(6.51674 - 2.47022i) q^{55} +1.00000 q^{56} +(0.741631 + 0.538826i) q^{57} +(-0.675075 + 2.07767i) q^{58} +(2.67508 + 8.23304i) q^{59} +(-1.69998 + 1.23511i) q^{60} +(4.11030 - 2.98631i) q^{61} +(-3.12703 - 9.62402i) q^{62} +(-0.309017 + 0.951057i) q^{63} +(-0.809017 - 0.587785i) q^{64} +11.6301 q^{65} +(-3.10130 + 1.17557i) q^{66} -9.55274 q^{67} +(-1.50000 - 1.08981i) q^{68} +(0.423613 - 1.30375i) q^{69} +(-0.649336 - 1.99845i) q^{70} +(-1.16390 + 0.845623i) q^{71} +(0.809017 - 0.587785i) q^{72} +(-4.05704 - 12.4863i) q^{73} +(-1.11460 + 3.43037i) q^{74} +(-0.472917 - 0.343594i) q^{75} +0.916706 q^{76} +(-0.159681 - 3.31278i) q^{77} -5.53474 q^{78} +(-14.3699 - 10.4404i) q^{79} +(-0.649336 + 1.99845i) q^{80} +(0.309017 + 0.951057i) q^{81} +(9.04635 - 6.57256i) q^{82} +(9.34636 - 6.79053i) q^{83} +(0.309017 + 0.951057i) q^{84} +(-1.20394 + 3.70533i) q^{85} +(-4.99444 - 3.62867i) q^{86} -2.18459 q^{87} +(-1.81802 + 2.77395i) q^{88} +3.87635 q^{89} +(-1.69998 - 1.23511i) q^{90} +(1.71033 - 5.26385i) q^{91} +(-0.423613 - 1.30375i) q^{92} +(8.18668 - 5.94797i) q^{93} +(3.38540 - 2.45964i) q^{94} +(-0.595250 - 1.83199i) q^{95} +(0.309017 - 0.951057i) q^{96} +(-4.62703 - 3.36174i) q^{97} -1.00000 q^{98} +(-2.07639 - 2.58624i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9} + O(q^{10}) \) \( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9} - 8 q^{10} + 10 q^{11} - 8 q^{12} + 10 q^{13} - 2 q^{14} + 2 q^{15} - 2 q^{16} - 12 q^{17} + 2 q^{18} + 2 q^{19} - 2 q^{20} + 8 q^{21} - 2 q^{24} - 4 q^{25} + 2 q^{27} + 2 q^{28} - 2 q^{29} - 2 q^{30} - 4 q^{31} - 8 q^{32} + 10 q^{33} + 12 q^{34} + 2 q^{35} - 2 q^{36} + 30 q^{37} - 2 q^{38} - 10 q^{39} + 2 q^{40} - 24 q^{41} + 2 q^{42} - 20 q^{43} + 8 q^{45} - 20 q^{46} - 6 q^{47} + 2 q^{48} - 2 q^{49} + 14 q^{50} - 18 q^{51} + 24 q^{53} + 8 q^{54} + 68 q^{55} + 8 q^{56} - 2 q^{57} + 2 q^{58} + 14 q^{59} + 2 q^{60} - 12 q^{61} + 4 q^{62} + 2 q^{63} - 2 q^{64} - 44 q^{65} - 12 q^{67} - 12 q^{68} + 20 q^{69} - 2 q^{70} + 4 q^{71} + 2 q^{72} - 34 q^{73} - 30 q^{74} + 14 q^{75} - 8 q^{76} - 20 q^{78} - 22 q^{79} - 2 q^{80} - 2 q^{81} - 6 q^{82} + 12 q^{83} - 2 q^{84} + 18 q^{85} - 30 q^{86} - 8 q^{87} + 10 q^{88} + 44 q^{89} + 2 q^{90} - 20 q^{92} + 4 q^{93} + 6 q^{94} - 44 q^{95} - 2 q^{96} - 8 q^{97} - 8 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) −0.309017 + 0.951057i −0.178411 + 0.549093i
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 1.69998 1.23511i 0.760256 0.552358i −0.138733 0.990330i \(-0.544303\pi\)
0.898989 + 0.437972i \(0.144303\pi\)
\(6\) −0.809017 + 0.587785i −0.330280 + 0.239962i
\(7\) −0.309017 0.951057i −0.116797 0.359466i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −0.809017 0.587785i −0.269672 0.195928i
\(10\) 2.10130 0.664488
\(11\) 3.19998 + 0.871839i 0.964831 + 0.262869i
\(12\) −1.00000 −0.288675
\(13\) 4.47770 + 3.25324i 1.24189 + 0.902286i 0.997723 0.0674471i \(-0.0214854\pi\)
0.244167 + 0.969733i \(0.421485\pi\)
\(14\) 0.309017 0.951057i 0.0825883 0.254181i
\(15\) 0.649336 + 1.99845i 0.167658 + 0.515998i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −1.50000 + 1.08981i −0.363803 + 0.264319i −0.754637 0.656143i \(-0.772187\pi\)
0.390833 + 0.920461i \(0.372187\pi\)
\(18\) −0.309017 0.951057i −0.0728360 0.224166i
\(19\) 0.283278 0.871839i 0.0649884 0.200014i −0.913290 0.407311i \(-0.866467\pi\)
0.978278 + 0.207297i \(0.0664666\pi\)
\(20\) 1.69998 + 1.23511i 0.380128 + 0.276179i
\(21\) 1.00000 0.218218
\(22\) 2.07639 + 2.58624i 0.442687 + 0.551387i
\(23\) −1.37084 −0.285840 −0.142920 0.989734i \(-0.545649\pi\)
−0.142920 + 0.989734i \(0.545649\pi\)
\(24\) −0.809017 0.587785i −0.165140 0.119981i
\(25\) −0.180638 + 0.555947i −0.0361276 + 0.111189i
\(26\) 1.71033 + 5.26385i 0.335423 + 1.03233i
\(27\) 0.809017 0.587785i 0.155695 0.113119i
\(28\) 0.809017 0.587785i 0.152890 0.111081i
\(29\) 0.675075 + 2.07767i 0.125358 + 0.385813i 0.993966 0.109687i \(-0.0349848\pi\)
−0.868608 + 0.495500i \(0.834985\pi\)
\(30\) −0.649336 + 1.99845i −0.118552 + 0.364866i
\(31\) −8.18668 5.94797i −1.47037 1.06829i −0.980506 0.196490i \(-0.937046\pi\)
−0.489866 0.871798i \(-0.662954\pi\)
\(32\) −1.00000 −0.176777
\(33\) −1.81802 + 2.77395i −0.316476 + 0.482883i
\(34\) −1.85410 −0.317976
\(35\) −1.69998 1.23511i −0.287350 0.208772i
\(36\) 0.309017 0.951057i 0.0515028 0.158509i
\(37\) 1.11460 + 3.43037i 0.183238 + 0.563950i 0.999914 0.0131477i \(-0.00418518\pi\)
−0.816675 + 0.577098i \(0.804185\pi\)
\(38\) 0.741631 0.538826i 0.120308 0.0874092i
\(39\) −4.47770 + 3.25324i −0.717006 + 0.520935i
\(40\) 0.649336 + 1.99845i 0.102669 + 0.315983i
\(41\) 3.45540 10.6346i 0.539642 1.66085i −0.193756 0.981050i \(-0.562067\pi\)
0.733399 0.679799i \(-0.237933\pi\)
\(42\) 0.809017 + 0.587785i 0.124834 + 0.0906972i
\(43\) −6.17346 −0.941444 −0.470722 0.882281i \(-0.656007\pi\)
−0.470722 + 0.882281i \(0.656007\pi\)
\(44\) 0.159681 + 3.31278i 0.0240728 + 0.499420i
\(45\) −2.10130 −0.313243
\(46\) −1.10903 0.805760i −0.163518 0.118803i
\(47\) 1.29311 3.97978i 0.188619 0.580511i −0.811373 0.584529i \(-0.801279\pi\)
0.999992 + 0.00401863i \(0.00127917\pi\)
\(48\) −0.309017 0.951057i −0.0446028 0.137273i
\(49\) −0.809017 + 0.587785i −0.115574 + 0.0839693i
\(50\) −0.472917 + 0.343594i −0.0668805 + 0.0485915i
\(51\) −0.572949 1.76336i −0.0802289 0.246919i
\(52\) −1.71033 + 5.26385i −0.237180 + 0.729965i
\(53\) 5.76181 + 4.18620i 0.791445 + 0.575019i 0.908392 0.418120i \(-0.137311\pi\)
−0.116947 + 0.993138i \(0.537311\pi\)
\(54\) 1.00000 0.136083
\(55\) 6.51674 2.47022i 0.878717 0.333085i
\(56\) 1.00000 0.133631
\(57\) 0.741631 + 0.538826i 0.0982314 + 0.0713693i
\(58\) −0.675075 + 2.07767i −0.0886417 + 0.272811i
\(59\) 2.67508 + 8.23304i 0.348265 + 1.07185i 0.959813 + 0.280642i \(0.0905474\pi\)
−0.611547 + 0.791208i \(0.709453\pi\)
\(60\) −1.69998 + 1.23511i −0.219467 + 0.159452i
\(61\) 4.11030 2.98631i 0.526270 0.382357i −0.292691 0.956207i \(-0.594551\pi\)
0.818960 + 0.573850i \(0.194551\pi\)
\(62\) −3.12703 9.62402i −0.397134 1.22225i
\(63\) −0.309017 + 0.951057i −0.0389325 + 0.119822i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 11.6301 1.44254
\(66\) −3.10130 + 1.17557i −0.381743 + 0.144703i
\(67\) −9.55274 −1.16705 −0.583527 0.812094i \(-0.698328\pi\)
−0.583527 + 0.812094i \(0.698328\pi\)
\(68\) −1.50000 1.08981i −0.181902 0.132159i
\(69\) 0.423613 1.30375i 0.0509970 0.156953i
\(70\) −0.649336 1.99845i −0.0776105 0.238861i
\(71\) −1.16390 + 0.845623i −0.138129 + 0.100357i −0.654704 0.755885i \(-0.727207\pi\)
0.516575 + 0.856242i \(0.327207\pi\)
\(72\) 0.809017 0.587785i 0.0953436 0.0692712i
\(73\) −4.05704 12.4863i −0.474841 1.46141i −0.846172 0.532909i \(-0.821099\pi\)
0.371332 0.928500i \(-0.378901\pi\)
\(74\) −1.11460 + 3.43037i −0.129569 + 0.398773i
\(75\) −0.472917 0.343594i −0.0546077 0.0396748i
\(76\) 0.916706 0.105153
\(77\) −0.159681 3.31278i −0.0181973 0.377526i
\(78\) −5.53474 −0.626686
\(79\) −14.3699 10.4404i −1.61674 1.17463i −0.831844 0.555009i \(-0.812715\pi\)
−0.784899 0.619624i \(-0.787285\pi\)
\(80\) −0.649336 + 1.99845i −0.0725980 + 0.223434i
\(81\) 0.309017 + 0.951057i 0.0343352 + 0.105673i
\(82\) 9.04635 6.57256i 0.999002 0.725817i
\(83\) 9.34636 6.79053i 1.02590 0.745358i 0.0584134 0.998292i \(-0.481396\pi\)
0.967483 + 0.252935i \(0.0813958\pi\)
\(84\) 0.309017 + 0.951057i 0.0337165 + 0.103769i
\(85\) −1.20394 + 3.70533i −0.130585 + 0.401900i
\(86\) −4.99444 3.62867i −0.538564 0.391290i
\(87\) −2.18459 −0.234213
\(88\) −1.81802 + 2.77395i −0.193801 + 0.295704i
\(89\) 3.87635 0.410893 0.205446 0.978668i \(-0.434135\pi\)
0.205446 + 0.978668i \(0.434135\pi\)
\(90\) −1.69998 1.23511i −0.179194 0.130192i
\(91\) 1.71033 5.26385i 0.179291 0.551801i
\(92\) −0.423613 1.30375i −0.0441647 0.135925i
\(93\) 8.18668 5.94797i 0.848920 0.616776i
\(94\) 3.38540 2.45964i 0.349178 0.253692i
\(95\) −0.595250 1.83199i −0.0610714 0.187958i
\(96\) 0.309017 0.951057i 0.0315389 0.0970668i
\(97\) −4.62703 3.36174i −0.469804 0.341333i 0.327561 0.944830i \(-0.393773\pi\)
−0.797365 + 0.603497i \(0.793773\pi\)
\(98\) −1.00000 −0.101015
\(99\) −2.07639 2.58624i −0.208685 0.259927i
\(100\) −0.584557 −0.0584557
\(101\) −4.80128 3.48833i −0.477745 0.347102i 0.322707 0.946499i \(-0.395407\pi\)
−0.800452 + 0.599397i \(0.795407\pi\)
\(102\) 0.572949 1.76336i 0.0567304 0.174598i
\(103\) 1.25703 + 3.86873i 0.123858 + 0.381197i 0.993691 0.112149i \(-0.0357735\pi\)
−0.869833 + 0.493346i \(0.835774\pi\)
\(104\) −4.47770 + 3.25324i −0.439074 + 0.319006i
\(105\) 1.69998 1.23511i 0.165901 0.120534i
\(106\) 2.20081 + 6.77341i 0.213762 + 0.657892i
\(107\) 2.77933 8.55389i 0.268688 0.826935i −0.722133 0.691754i \(-0.756838\pi\)
0.990821 0.135181i \(-0.0431617\pi\)
\(108\) 0.809017 + 0.587785i 0.0778477 + 0.0565597i
\(109\) −11.3374 −1.08592 −0.542961 0.839758i \(-0.682697\pi\)
−0.542961 + 0.839758i \(0.682697\pi\)
\(110\) 6.72411 + 1.83199i 0.641119 + 0.174674i
\(111\) −3.60691 −0.342353
\(112\) 0.809017 + 0.587785i 0.0764449 + 0.0555405i
\(113\) 0.263419 0.810719i 0.0247803 0.0762660i −0.937902 0.346902i \(-0.887234\pi\)
0.962682 + 0.270635i \(0.0872338\pi\)
\(114\) 0.283278 + 0.871839i 0.0265314 + 0.0816552i
\(115\) −2.33041 + 1.69314i −0.217312 + 0.157886i
\(116\) −1.76737 + 1.28407i −0.164096 + 0.119223i
\(117\) −1.71033 5.26385i −0.158120 0.486643i
\(118\) −2.67508 + 8.23304i −0.246261 + 0.757912i
\(119\) 1.50000 + 1.08981i 0.137505 + 0.0999031i
\(120\) −2.10130 −0.191821
\(121\) 9.47979 + 5.57974i 0.861799 + 0.507249i
\(122\) 5.08061 0.459976
\(123\) 9.04635 + 6.57256i 0.815682 + 0.592627i
\(124\) 3.12703 9.62402i 0.280816 0.864263i
\(125\) 3.62625 + 11.1605i 0.324342 + 0.998222i
\(126\) −0.809017 + 0.587785i −0.0720730 + 0.0523641i
\(127\) −10.7429 + 7.80517i −0.953278 + 0.692597i −0.951580 0.307402i \(-0.900540\pi\)
−0.00169787 + 0.999999i \(0.500540\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) 1.90771 5.87131i 0.167964 0.516940i
\(130\) 9.40897 + 6.83602i 0.825221 + 0.599558i
\(131\) −10.3347 −0.902945 −0.451472 0.892285i \(-0.649101\pi\)
−0.451472 + 0.892285i \(0.649101\pi\)
\(132\) −3.19998 0.871839i −0.278523 0.0758839i
\(133\) −0.916706 −0.0794885
\(134\) −7.72833 5.61496i −0.667626 0.485059i
\(135\) 0.649336 1.99845i 0.0558859 0.171999i
\(136\) −0.572949 1.76336i −0.0491300 0.151207i
\(137\) −11.1047 + 8.06806i −0.948741 + 0.689301i −0.950509 0.310697i \(-0.899437\pi\)
0.00176745 + 0.999998i \(0.499437\pi\)
\(138\) 1.10903 0.805760i 0.0944072 0.0685908i
\(139\) −3.19998 9.84854i −0.271419 0.835342i −0.990145 0.140048i \(-0.955274\pi\)
0.718726 0.695294i \(-0.244726\pi\)
\(140\) 0.649336 1.99845i 0.0548789 0.168900i
\(141\) 3.38540 + 2.45964i 0.285102 + 0.207139i
\(142\) −1.43866 −0.120730
\(143\) 11.4923 + 14.3141i 0.961031 + 1.19701i
\(144\) 1.00000 0.0833333
\(145\) 3.71377 + 2.69821i 0.308412 + 0.224074i
\(146\) 4.05704 12.4863i 0.335763 1.03337i
\(147\) −0.309017 0.951057i −0.0254873 0.0784418i
\(148\) −2.91805 + 2.12009i −0.239862 + 0.174270i
\(149\) 7.23607 5.25731i 0.592802 0.430696i −0.250515 0.968113i \(-0.580600\pi\)
0.843317 + 0.537417i \(0.180600\pi\)
\(150\) −0.180638 0.555947i −0.0147490 0.0453929i
\(151\) −5.54374 + 17.0619i −0.451143 + 1.38848i 0.424461 + 0.905446i \(0.360464\pi\)
−0.875604 + 0.483030i \(0.839536\pi\)
\(152\) 0.741631 + 0.538826i 0.0601542 + 0.0437046i
\(153\) 1.85410 0.149895
\(154\) 1.81802 2.77395i 0.146500 0.223531i
\(155\) −21.2636 −1.70794
\(156\) −4.47770 3.25324i −0.358503 0.260468i
\(157\) −0.133111 + 0.409674i −0.0106234 + 0.0326955i −0.956228 0.292624i \(-0.905472\pi\)
0.945604 + 0.325319i \(0.105472\pi\)
\(158\) −5.48882 16.8929i −0.436667 1.34392i
\(159\) −5.76181 + 4.18620i −0.456941 + 0.331987i
\(160\) −1.69998 + 1.23511i −0.134396 + 0.0976441i
\(161\) 0.423613 + 1.30375i 0.0333854 + 0.102750i
\(162\) −0.309017 + 0.951057i −0.0242787 + 0.0747221i
\(163\) 14.5623 + 10.5801i 1.14061 + 0.828700i 0.987204 0.159463i \(-0.0509764\pi\)
0.153404 + 0.988164i \(0.450976\pi\)
\(164\) 11.1819 0.873160
\(165\) 0.335537 + 6.96113i 0.0261215 + 0.541923i
\(166\) 11.5527 0.896667
\(167\) 5.65060 + 4.10540i 0.437256 + 0.317685i 0.784544 0.620073i \(-0.212897\pi\)
−0.347287 + 0.937759i \(0.612897\pi\)
\(168\) −0.309017 + 0.951057i −0.0238412 + 0.0733756i
\(169\) 5.44900 + 16.7703i 0.419154 + 1.29002i
\(170\) −3.15194 + 2.29002i −0.241743 + 0.175637i
\(171\) −0.741631 + 0.538826i −0.0567139 + 0.0412051i
\(172\) −1.90771 5.87131i −0.145461 0.447683i
\(173\) 4.57260 14.0730i 0.347648 1.06995i −0.612502 0.790469i \(-0.709837\pi\)
0.960151 0.279483i \(-0.0901630\pi\)
\(174\) −1.76737 1.28407i −0.133984 0.0973451i
\(175\) 0.584557 0.0441884
\(176\) −3.10130 + 1.17557i −0.233769 + 0.0886120i
\(177\) −8.65673 −0.650679
\(178\) 3.13604 + 2.27846i 0.235056 + 0.170778i
\(179\) 4.58886 14.1230i 0.342987 1.05561i −0.619665 0.784866i \(-0.712732\pi\)
0.962653 0.270740i \(-0.0872684\pi\)
\(180\) −0.649336 1.99845i −0.0483987 0.148956i
\(181\) −8.14721 + 5.91930i −0.605577 + 0.439978i −0.847854 0.530229i \(-0.822106\pi\)
0.242277 + 0.970207i \(0.422106\pi\)
\(182\) 4.47770 3.25324i 0.331909 0.241146i
\(183\) 1.56999 + 4.83194i 0.116057 + 0.357188i
\(184\) 0.423613 1.30375i 0.0312292 0.0961135i
\(185\) 6.13169 + 4.45493i 0.450811 + 0.327533i
\(186\) 10.1193 0.741983
\(187\) −5.75012 + 2.17963i −0.420490 + 0.159390i
\(188\) 4.18459 0.305193
\(189\) −0.809017 0.587785i −0.0588473 0.0427551i
\(190\) 0.595250 1.83199i 0.0431840 0.132907i
\(191\) 1.72707 + 5.31537i 0.124966 + 0.384606i 0.993895 0.110331i \(-0.0351910\pi\)
−0.868929 + 0.494937i \(0.835191\pi\)
\(192\) 0.809017 0.587785i 0.0583858 0.0424197i
\(193\) 7.59221 5.51607i 0.546500 0.397055i −0.279994 0.960002i \(-0.590332\pi\)
0.826493 + 0.562947i \(0.190332\pi\)
\(194\) −1.76737 5.43941i −0.126890 0.390527i
\(195\) −3.59391 + 11.0609i −0.257365 + 0.792088i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) −19.0137 −1.35467 −0.677333 0.735676i \(-0.736864\pi\)
−0.677333 + 0.735676i \(0.736864\pi\)
\(198\) −0.159681 3.31278i −0.0113480 0.235429i
\(199\) −13.2816 −0.941510 −0.470755 0.882264i \(-0.656018\pi\)
−0.470755 + 0.882264i \(0.656018\pi\)
\(200\) −0.472917 0.343594i −0.0334403 0.0242958i
\(201\) 2.95196 9.08520i 0.208215 0.640820i
\(202\) −1.83393 5.64424i −0.129035 0.397128i
\(203\) 1.76737 1.28407i 0.124045 0.0901240i
\(204\) 1.50000 1.08981i 0.105021 0.0763022i
\(205\) −7.26081 22.3465i −0.507117 1.56075i
\(206\) −1.25703 + 3.86873i −0.0875811 + 0.269547i
\(207\) 1.10903 + 0.805760i 0.0770831 + 0.0560042i
\(208\) −5.53474 −0.383765
\(209\) 1.66659 2.54290i 0.115280 0.175896i
\(210\) 2.10130 0.145003
\(211\) 19.8656 + 14.4332i 1.36761 + 0.993624i 0.997920 + 0.0644676i \(0.0205349\pi\)
0.369687 + 0.929157i \(0.379465\pi\)
\(212\) −2.20081 + 6.77341i −0.151153 + 0.465200i
\(213\) −0.444570 1.36825i −0.0304614 0.0937507i
\(214\) 7.27637 5.28659i 0.497402 0.361384i
\(215\) −10.4948 + 7.62491i −0.715739 + 0.520015i
\(216\) 0.309017 + 0.951057i 0.0210259 + 0.0647112i
\(217\) −3.12703 + 9.62402i −0.212277 + 0.653321i
\(218\) −9.17212 6.66394i −0.621214 0.451339i
\(219\) 13.1289 0.887166
\(220\) 4.36310 + 5.43445i 0.294160 + 0.366390i
\(221\) −10.2620 −0.690295
\(222\) −2.91805 2.12009i −0.195847 0.142291i
\(223\) 5.86227 18.0422i 0.392567 1.20820i −0.538274 0.842770i \(-0.680923\pi\)
0.930840 0.365426i \(-0.119077\pi\)
\(224\) 0.309017 + 0.951057i 0.0206471 + 0.0635451i
\(225\) 0.472917 0.343594i 0.0315278 0.0229063i
\(226\) 0.689639 0.501052i 0.0458741 0.0333295i
\(227\) 7.40209 + 22.7813i 0.491294 + 1.51205i 0.822653 + 0.568543i \(0.192493\pi\)
−0.331359 + 0.943505i \(0.607507\pi\)
\(228\) −0.283278 + 0.871839i −0.0187605 + 0.0577390i
\(229\) 9.56443 + 6.94897i 0.632035 + 0.459201i 0.857105 0.515142i \(-0.172261\pi\)
−0.225069 + 0.974343i \(0.572261\pi\)
\(230\) −2.88054 −0.189937
\(231\) 3.19998 + 0.871839i 0.210543 + 0.0573628i
\(232\) −2.18459 −0.143425
\(233\) 14.7519 + 10.7179i 0.966429 + 0.702152i 0.954635 0.297779i \(-0.0962458\pi\)
0.0117939 + 0.999930i \(0.496246\pi\)
\(234\) 1.71033 5.26385i 0.111808 0.344109i
\(235\) −2.71720 8.36270i −0.177251 0.545522i
\(236\) −7.00344 + 5.08830i −0.455885 + 0.331220i
\(237\) 14.3699 10.4404i 0.933427 0.678175i
\(238\) 0.572949 + 1.76336i 0.0371388 + 0.114301i
\(239\) −1.93766 + 5.96351i −0.125337 + 0.385748i −0.993962 0.109722i \(-0.965004\pi\)
0.868625 + 0.495470i \(0.165004\pi\)
\(240\) −1.69998 1.23511i −0.109733 0.0797260i
\(241\) −16.3167 −1.05105 −0.525525 0.850778i \(-0.676131\pi\)
−0.525525 + 0.850778i \(0.676131\pi\)
\(242\) 4.38962 + 10.0862i 0.282176 + 0.648365i
\(243\) −1.00000 −0.0641500
\(244\) 4.11030 + 2.98631i 0.263135 + 0.191179i
\(245\) −0.649336 + 1.99845i −0.0414846 + 0.127676i
\(246\) 3.45540 + 10.6346i 0.220308 + 0.678039i
\(247\) 4.10473 2.98226i 0.261178 0.189757i
\(248\) 8.18668 5.94797i 0.519855 0.377697i
\(249\) 3.56999 + 10.9873i 0.226239 + 0.696292i
\(250\) −3.62625 + 11.1605i −0.229344 + 0.705850i
\(251\) −18.0657 13.1255i −1.14030 0.828474i −0.153136 0.988205i \(-0.548937\pi\)
−0.987161 + 0.159731i \(0.948937\pi\)
\(252\) −1.00000 −0.0629941
\(253\) −4.38667 1.19515i −0.275787 0.0751386i
\(254\) −13.2789 −0.833195
\(255\) −3.15194 2.29002i −0.197382 0.143407i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 6.42539 + 19.7753i 0.400805 + 1.23355i 0.924348 + 0.381551i \(0.124610\pi\)
−0.523543 + 0.851999i \(0.675390\pi\)
\(258\) 4.99444 3.62867i 0.310940 0.225911i
\(259\) 2.91805 2.12009i 0.181319 0.131736i
\(260\) 3.59391 + 11.0609i 0.222885 + 0.685968i
\(261\) 0.675075 2.07767i 0.0417861 0.128604i
\(262\) −8.36093 6.07457i −0.516540 0.375288i
\(263\) 0.337364 0.0208027 0.0104014 0.999946i \(-0.496689\pi\)
0.0104014 + 0.999946i \(0.496689\pi\)
\(264\) −2.07639 2.58624i −0.127793 0.159172i
\(265\) 14.9654 0.919317
\(266\) −0.741631 0.538826i −0.0454723 0.0330376i
\(267\) −1.19786 + 3.68663i −0.0733078 + 0.225618i
\(268\) −2.95196 9.08520i −0.180320 0.554967i
\(269\) −14.8928 + 10.8202i −0.908030 + 0.659722i −0.940516 0.339750i \(-0.889658\pi\)
0.0324861 + 0.999472i \(0.489658\pi\)
\(270\) 1.69998 1.23511i 0.103458 0.0751664i
\(271\) −5.10312 15.7058i −0.309993 0.954059i −0.977767 0.209695i \(-0.932753\pi\)
0.667774 0.744364i \(-0.267247\pi\)
\(272\) 0.572949 1.76336i 0.0347401 0.106919i
\(273\) 4.47770 + 3.25324i 0.271003 + 0.196895i
\(274\) −13.7262 −0.829230
\(275\) −1.06274 + 1.62153i −0.0640853 + 0.0977821i
\(276\) 1.37084 0.0825149
\(277\) 3.47431 + 2.52423i 0.208751 + 0.151667i 0.687248 0.726422i \(-0.258818\pi\)
−0.478497 + 0.878089i \(0.658818\pi\)
\(278\) 3.19998 9.84854i 0.191922 0.590676i
\(279\) 3.12703 + 9.62402i 0.187211 + 0.576175i
\(280\) 1.69998 1.23511i 0.101593 0.0738120i
\(281\) 22.0546 16.0236i 1.31567 0.955887i 0.315690 0.948862i \(-0.397764\pi\)
0.999975 0.00702433i \(-0.00223593\pi\)
\(282\) 1.29311 + 3.97978i 0.0770035 + 0.236993i
\(283\) −5.23446 + 16.1100i −0.311156 + 0.957640i 0.666152 + 0.745816i \(0.267940\pi\)
−0.977308 + 0.211824i \(0.932060\pi\)
\(284\) −1.16390 0.845623i −0.0690647 0.0501785i
\(285\) 1.92627 0.114102
\(286\) 0.883793 + 18.3354i 0.0522598 + 1.08419i
\(287\) −11.1819 −0.660047
\(288\) 0.809017 + 0.587785i 0.0476718 + 0.0346356i
\(289\) −4.19098 + 12.8985i −0.246528 + 0.758736i
\(290\) 1.41853 + 4.36579i 0.0832991 + 0.256368i
\(291\) 4.62703 3.36174i 0.271242 0.197069i
\(292\) 10.6215 7.71695i 0.621575 0.451600i
\(293\) 1.64934 + 5.07613i 0.0963552 + 0.296551i 0.987605 0.156963i \(-0.0501703\pi\)
−0.891249 + 0.453514i \(0.850170\pi\)
\(294\) 0.309017 0.951057i 0.0180222 0.0554667i
\(295\) 14.7163 + 10.6920i 0.856816 + 0.622513i
\(296\) −3.60691 −0.209647
\(297\) 3.10130 1.17557i 0.179955 0.0682135i
\(298\) 8.94427 0.518128
\(299\) −6.13821 4.45967i −0.354982 0.257909i
\(300\) 0.180638 0.555947i 0.0104291 0.0320976i
\(301\) 1.90771 + 5.87131i 0.109958 + 0.338417i
\(302\) −14.5137 + 10.5448i −0.835170 + 0.606786i
\(303\) 4.80128 3.48833i 0.275826 0.200400i
\(304\) 0.283278 + 0.871839i 0.0162471 + 0.0500034i
\(305\) 3.29902 10.1533i 0.188901 0.581379i
\(306\) 1.50000 + 1.08981i 0.0857493 + 0.0623005i
\(307\) 10.4137 0.594342 0.297171 0.954824i \(-0.403957\pi\)
0.297171 + 0.954824i \(0.403957\pi\)
\(308\) 3.10130 1.17557i 0.176713 0.0669843i
\(309\) −4.06782 −0.231410
\(310\) −17.2026 12.4985i −0.977044 0.709864i
\(311\) −7.18012 + 22.0982i −0.407148 + 1.25307i 0.511941 + 0.859021i \(0.328927\pi\)
−0.919089 + 0.394051i \(0.871073\pi\)
\(312\) −1.71033 5.26385i −0.0968283 0.298007i
\(313\) 11.1915 8.13108i 0.632579 0.459596i −0.224714 0.974425i \(-0.572145\pi\)
0.857293 + 0.514829i \(0.172145\pi\)
\(314\) −0.348489 + 0.253192i −0.0196664 + 0.0142885i
\(315\) 0.649336 + 1.99845i 0.0365859 + 0.112600i
\(316\) 5.48882 16.8929i 0.308770 0.950298i
\(317\) 12.2631 + 8.90964i 0.688763 + 0.500415i 0.876253 0.481851i \(-0.160035\pi\)
−0.187490 + 0.982266i \(0.560035\pi\)
\(318\) −7.12199 −0.399381
\(319\) 0.348837 + 7.23706i 0.0195311 + 0.405198i
\(320\) −2.10130 −0.117466
\(321\) 7.27637 + 5.28659i 0.406127 + 0.295069i
\(322\) −0.423613 + 1.30375i −0.0236070 + 0.0726550i
\(323\) 0.525226 + 1.61648i 0.0292243 + 0.0899433i
\(324\) −0.809017 + 0.587785i −0.0449454 + 0.0326547i
\(325\) −2.61747 + 1.90170i −0.145191 + 0.105488i
\(326\) 5.56231 + 17.1190i 0.308068 + 0.948135i
\(327\) 3.50344 10.7825i 0.193741 0.596272i
\(328\) 9.04635 + 6.57256i 0.499501 + 0.362909i
\(329\) −4.18459 −0.230704
\(330\) −3.82019 + 5.82889i −0.210295 + 0.320870i
\(331\) 3.28857 0.180756 0.0903782 0.995908i \(-0.471192\pi\)
0.0903782 + 0.995908i \(0.471192\pi\)
\(332\) 9.34636 + 6.79053i 0.512948 + 0.372679i
\(333\) 1.11460 3.43037i 0.0610795 0.187983i
\(334\) 2.15834 + 6.64268i 0.118099 + 0.363471i
\(335\) −16.2395 + 11.7987i −0.887259 + 0.644631i
\(336\) −0.809017 + 0.587785i −0.0441355 + 0.0320663i
\(337\) −1.96526 6.04845i −0.107055 0.329480i 0.883153 0.469086i \(-0.155416\pi\)
−0.990207 + 0.139606i \(0.955416\pi\)
\(338\) −5.44900 + 16.7703i −0.296387 + 0.912185i
\(339\) 0.689639 + 0.501052i 0.0374560 + 0.0272134i
\(340\) −3.89602 −0.211291
\(341\) −21.0116 26.1709i −1.13784 1.41723i
\(342\) −0.916706 −0.0495698
\(343\) 0.809017 + 0.587785i 0.0436828 + 0.0317374i
\(344\) 1.90771 5.87131i 0.102857 0.316560i
\(345\) −0.890136 2.73956i −0.0479233 0.147493i
\(346\) 11.9712 8.69760i 0.643577 0.467586i
\(347\) 3.45835 2.51264i 0.185654 0.134886i −0.491076 0.871117i \(-0.663396\pi\)
0.676730 + 0.736231i \(0.263396\pi\)
\(348\) −0.675075 2.07767i −0.0361878 0.111375i
\(349\) 9.28032 28.5619i 0.496764 1.52888i −0.317425 0.948283i \(-0.602818\pi\)
0.814189 0.580600i \(-0.197182\pi\)
\(350\) 0.472917 + 0.343594i 0.0252785 + 0.0183659i
\(351\) 5.53474 0.295423
\(352\) −3.19998 0.871839i −0.170560 0.0464692i
\(353\) −0.269545 −0.0143464 −0.00717321 0.999974i \(-0.502283\pi\)
−0.00717321 + 0.999974i \(0.502283\pi\)
\(354\) −7.00344 5.08830i −0.372229 0.270440i
\(355\) −0.934173 + 2.87509i −0.0495808 + 0.152594i
\(356\) 1.19786 + 3.68663i 0.0634864 + 0.195391i
\(357\) −1.50000 + 1.08981i −0.0793884 + 0.0576791i
\(358\) 12.0138 8.72852i 0.634948 0.461317i
\(359\) −1.31162 4.03676i −0.0692249 0.213052i 0.910459 0.413599i \(-0.135728\pi\)
−0.979684 + 0.200546i \(0.935728\pi\)
\(360\) 0.649336 1.99845i 0.0342230 0.105328i
\(361\) 14.6915 + 10.6740i 0.773235 + 0.561788i
\(362\) −10.0705 −0.529294
\(363\) −8.23607 + 7.29158i −0.432281 + 0.382709i
\(364\) 5.53474 0.290099
\(365\) −22.3189 16.2156i −1.16822 0.848763i
\(366\) −1.56999 + 4.83194i −0.0820649 + 0.252570i
\(367\) −3.70047 11.3889i −0.193163 0.594494i −0.999993 0.00371067i \(-0.998819\pi\)
0.806830 0.590783i \(-0.201181\pi\)
\(368\) 1.10903 0.805760i 0.0578124 0.0420031i
\(369\) −9.04635 + 6.57256i −0.470934 + 0.342154i
\(370\) 2.34210 + 7.20823i 0.121760 + 0.374738i
\(371\) 2.20081 6.77341i 0.114261 0.351658i
\(372\) 8.18668 + 5.94797i 0.424460 + 0.308388i
\(373\) 11.5537 0.598228 0.299114 0.954217i \(-0.403309\pi\)
0.299114 + 0.954217i \(0.403309\pi\)
\(374\) −5.93310 1.61648i −0.306793 0.0835861i
\(375\) −11.7348 −0.605983
\(376\) 3.38540 + 2.45964i 0.174589 + 0.126846i
\(377\) −3.73637 + 11.4994i −0.192433 + 0.592247i
\(378\) −0.309017 0.951057i −0.0158941 0.0489171i
\(379\) 18.6782 13.5705i 0.959433 0.697069i 0.00641393 0.999979i \(-0.497958\pi\)
0.953019 + 0.302911i \(0.0979584\pi\)
\(380\) 1.55839 1.13223i 0.0799435 0.0580823i
\(381\) −4.10342 12.6290i −0.210225 0.647005i
\(382\) −1.72707 + 5.31537i −0.0883644 + 0.271958i
\(383\) 25.8275 + 18.7648i 1.31972 + 0.958835i 0.999936 + 0.0113462i \(0.00361170\pi\)
0.319788 + 0.947489i \(0.396388\pi\)
\(384\) 1.00000 0.0510310
\(385\) −4.36310 5.43445i −0.222364 0.276965i
\(386\) 9.38449 0.477658
\(387\) 4.99444 + 3.62867i 0.253882 + 0.184456i
\(388\) 1.76737 5.43941i 0.0897246 0.276144i
\(389\) −7.44078 22.9004i −0.377263 1.16110i −0.941939 0.335783i \(-0.890999\pi\)
0.564677 0.825312i \(-0.309001\pi\)
\(390\) −9.40897 + 6.83602i −0.476442 + 0.346155i
\(391\) 2.05626 1.49396i 0.103990 0.0755528i
\(392\) −0.309017 0.951057i −0.0156077 0.0480356i
\(393\) 3.19359 9.82886i 0.161095 0.495800i
\(394\) −15.3824 11.1759i −0.774952 0.563036i
\(395\) −37.3236 −1.87796
\(396\) 1.81802 2.77395i 0.0913588 0.139396i
\(397\) 4.69960 0.235866 0.117933 0.993022i \(-0.462373\pi\)
0.117933 + 0.993022i \(0.462373\pi\)
\(398\) −10.7451 7.80675i −0.538602 0.391317i
\(399\) 0.283278 0.871839i 0.0141816 0.0436466i
\(400\) −0.180638 0.555947i −0.00903190 0.0277973i
\(401\) 22.2519 16.1670i 1.11121 0.807341i 0.128355 0.991728i \(-0.459030\pi\)
0.982854 + 0.184388i \(0.0590302\pi\)
\(402\) 7.72833 5.61496i 0.385454 0.280049i
\(403\) −17.3073 53.2665i −0.862139 2.65339i
\(404\) 1.83393 5.64424i 0.0912412 0.280812i
\(405\) 1.69998 + 1.23511i 0.0844729 + 0.0613731i
\(406\) 2.18459 0.108419
\(407\) 0.575955 + 11.9489i 0.0285490 + 0.592284i
\(408\) 1.85410 0.0917917
\(409\) 15.2636 + 11.0897i 0.754738 + 0.548349i 0.897292 0.441438i \(-0.145531\pi\)
−0.142554 + 0.989787i \(0.545531\pi\)
\(410\) 7.26081 22.3465i 0.358586 1.10361i
\(411\) −4.24163 13.0544i −0.209224 0.643926i
\(412\) −3.29093 + 2.39100i −0.162133 + 0.117796i
\(413\) 7.00344 5.08830i 0.344617 0.250379i
\(414\) 0.423613 + 1.30375i 0.0208194 + 0.0640757i
\(415\) 7.50161 23.0876i 0.368240 1.13333i
\(416\) −4.47770 3.25324i −0.219537 0.159503i
\(417\) 10.3554 0.507104
\(418\) 2.84298 1.07765i 0.139055 0.0527097i
\(419\) −36.1743 −1.76723 −0.883614 0.468216i \(-0.844897\pi\)
−0.883614 + 0.468216i \(0.844897\pi\)
\(420\) 1.69998 + 1.23511i 0.0829507 + 0.0602672i
\(421\) −7.53982 + 23.2052i −0.367468 + 1.13095i 0.580953 + 0.813937i \(0.302680\pi\)
−0.948421 + 0.317014i \(0.897320\pi\)
\(422\) 7.58800 + 23.3534i 0.369378 + 1.13683i
\(423\) −3.38540 + 2.45964i −0.164604 + 0.119592i
\(424\) −5.76181 + 4.18620i −0.279818 + 0.203300i
\(425\) −0.334921 1.03078i −0.0162461 0.0500003i
\(426\) 0.444570 1.36825i 0.0215395 0.0662917i
\(427\) −4.11030 2.98631i −0.198911 0.144517i
\(428\) 8.99409 0.434746
\(429\) −17.1649 + 6.50648i −0.828727 + 0.314136i
\(430\) −12.9723 −0.625579
\(431\) −13.2880 9.65428i −0.640059 0.465030i 0.219811 0.975542i \(-0.429456\pi\)
−0.859871 + 0.510512i \(0.829456\pi\)
\(432\) −0.309017 + 0.951057i −0.0148676 + 0.0457577i
\(433\) 12.0477 + 37.0790i 0.578975 + 1.78190i 0.622226 + 0.782838i \(0.286229\pi\)
−0.0432504 + 0.999064i \(0.513771\pi\)
\(434\) −8.18668 + 5.94797i −0.392973 + 0.285512i
\(435\) −3.71377 + 2.69821i −0.178061 + 0.129369i
\(436\) −3.50344 10.7825i −0.167784 0.516387i
\(437\) −0.388329 + 1.19515i −0.0185763 + 0.0571719i
\(438\) 10.6215 + 7.71695i 0.507514 + 0.368730i
\(439\) −26.1297 −1.24710 −0.623552 0.781782i \(-0.714311\pi\)
−0.623552 + 0.781782i \(0.714311\pi\)
\(440\) 0.335537 + 6.96113i 0.0159961 + 0.331859i
\(441\) 1.00000 0.0476190
\(442\) −8.30211 6.03184i −0.394891 0.286905i
\(443\) −8.41214 + 25.8899i −0.399673 + 1.23007i 0.525589 + 0.850738i \(0.323845\pi\)
−0.925262 + 0.379328i \(0.876155\pi\)
\(444\) −1.11460 3.43037i −0.0528964 0.162798i
\(445\) 6.58974 4.78772i 0.312384 0.226960i
\(446\) 15.3476 11.1507i 0.726731 0.528001i
\(447\) 2.76393 + 8.50651i 0.130729 + 0.402344i
\(448\) −0.309017 + 0.951057i −0.0145997 + 0.0449332i
\(449\) −32.2059 23.3989i −1.51989 1.10426i −0.961543 0.274656i \(-0.911436\pi\)
−0.558346 0.829608i \(-0.688564\pi\)
\(450\) 0.584557 0.0275563
\(451\) 20.3289 31.0181i 0.957250 1.46058i
\(452\) 0.852441 0.0400954
\(453\) −14.5137 10.5448i −0.681913 0.495439i
\(454\) −7.40209 + 22.7813i −0.347397 + 1.06918i
\(455\) −3.59391 11.0609i −0.168485 0.518543i
\(456\) −0.741631 + 0.538826i −0.0347300 + 0.0252329i
\(457\) −5.74168 + 4.17158i −0.268585 + 0.195138i −0.713923 0.700224i \(-0.753083\pi\)
0.445338 + 0.895362i \(0.353083\pi\)
\(458\) 3.65329 + 11.2437i 0.170707 + 0.525382i
\(459\) −0.572949 + 1.76336i −0.0267430 + 0.0823064i
\(460\) −2.33041 1.69314i −0.108656 0.0789430i
\(461\) 16.7003 0.777811 0.388905 0.921278i \(-0.372853\pi\)
0.388905 + 0.921278i \(0.372853\pi\)
\(462\) 2.07639 + 2.58624i 0.0966023 + 0.120323i
\(463\) 20.5373 0.954448 0.477224 0.878782i \(-0.341643\pi\)
0.477224 + 0.878782i \(0.341643\pi\)
\(464\) −1.76737 1.28407i −0.0820481 0.0596114i
\(465\) 6.57082 20.2229i 0.304715 0.937815i
\(466\) 5.63472 + 17.3419i 0.261023 + 0.803348i
\(467\) −4.90771 + 3.56566i −0.227102 + 0.164999i −0.695518 0.718509i \(-0.744825\pi\)
0.468416 + 0.883508i \(0.344825\pi\)
\(468\) 4.47770 3.25324i 0.206982 0.150381i
\(469\) 2.95196 + 9.08520i 0.136309 + 0.419515i
\(470\) 2.71720 8.36270i 0.125335 0.385742i
\(471\) −0.348489 0.253192i −0.0160575 0.0116665i
\(472\) −8.65673 −0.398458
\(473\) −19.7550 5.38227i −0.908335 0.247477i
\(474\) 17.7622 0.815845
\(475\) 0.433526 + 0.314975i 0.0198915 + 0.0144520i
\(476\) −0.572949 + 1.76336i −0.0262611 + 0.0808233i
\(477\) −2.20081 6.77341i −0.100768 0.310133i
\(478\) −5.07287 + 3.68565i −0.232028 + 0.168578i
\(479\) 33.1537 24.0876i 1.51483 1.10059i 0.550858 0.834599i \(-0.314301\pi\)
0.963975 0.265991i \(-0.0856993\pi\)
\(480\) −0.649336 1.99845i −0.0296380 0.0912164i
\(481\) −6.16900 + 18.9862i −0.281282 + 0.865697i
\(482\) −13.2005 9.59070i −0.601265 0.436844i
\(483\) −1.37084 −0.0623754
\(484\) −2.37723 + 10.7401i −0.108056 + 0.488184i
\(485\) −12.0180 −0.545709
\(486\) −0.809017 0.587785i −0.0366978 0.0266625i
\(487\) 0.181151 0.557527i 0.00820876 0.0252640i −0.946868 0.321622i \(-0.895772\pi\)
0.955077 + 0.296358i \(0.0957721\pi\)
\(488\) 1.56999 + 4.83194i 0.0710703 + 0.218732i
\(489\) −14.5623 + 10.5801i −0.658530 + 0.478450i
\(490\) −1.69998 + 1.23511i −0.0767974 + 0.0557966i
\(491\) 0.151194 + 0.465326i 0.00682327 + 0.0209999i 0.954410 0.298498i \(-0.0964857\pi\)
−0.947587 + 0.319498i \(0.896486\pi\)
\(492\) −3.45540 + 10.6346i −0.155781 + 0.479446i
\(493\) −3.27688 2.38080i −0.147583 0.107226i
\(494\) 5.07373 0.228278
\(495\) −6.72411 1.83199i −0.302226 0.0823419i
\(496\) 10.1193 0.454370
\(497\) 1.16390 + 0.845623i 0.0522080 + 0.0379314i
\(498\) −3.56999 + 10.9873i −0.159975 + 0.492353i
\(499\) −4.95918 15.2628i −0.222004 0.683257i −0.998582 0.0532361i \(-0.983046\pi\)
0.776578 0.630021i \(-0.216954\pi\)
\(500\) −9.49366 + 6.89755i −0.424569 + 0.308468i
\(501\) −5.65060 + 4.10540i −0.252450 + 0.183416i
\(502\) −6.90048 21.2375i −0.307984 0.947876i
\(503\) 8.64114 26.5947i 0.385289 1.18580i −0.550981 0.834518i \(-0.685746\pi\)
0.936270 0.351280i \(-0.114254\pi\)
\(504\) −0.809017 0.587785i −0.0360365 0.0261820i
\(505\) −12.4706 −0.554933
\(506\) −2.84640 3.54532i −0.126538 0.157609i
\(507\) −17.6333 −0.783124
\(508\) −10.7429 7.80517i −0.476639 0.346298i
\(509\) −1.87159 + 5.76016i −0.0829568 + 0.255315i −0.983928 0.178563i \(-0.942855\pi\)
0.900972 + 0.433878i \(0.142855\pi\)
\(510\) −1.20394 3.70533i −0.0533111 0.164075i
\(511\) −10.6215 + 7.71695i −0.469866 + 0.341378i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) −0.283278 0.871839i −0.0125070 0.0384926i
\(514\) −6.42539 + 19.7753i −0.283412 + 0.872252i
\(515\) 6.91523 + 5.02421i 0.304721 + 0.221393i
\(516\) 6.17346 0.271772
\(517\) 7.60766 11.6079i 0.334584 0.510513i
\(518\) 3.60691 0.158478
\(519\) 11.9712 + 8.69760i 0.525478 + 0.381782i
\(520\) −3.59391 + 11.0609i −0.157603 + 0.485053i
\(521\) −0.590170 1.81636i −0.0258558 0.0795760i 0.937296 0.348534i \(-0.113321\pi\)
−0.963152 + 0.268958i \(0.913321\pi\)
\(522\) 1.76737 1.28407i 0.0773557 0.0562022i
\(523\) −11.9235 + 8.66295i −0.521380 + 0.378804i −0.817123 0.576463i \(-0.804433\pi\)
0.295744 + 0.955267i \(0.404433\pi\)
\(524\) −3.19359 9.82886i −0.139513 0.429376i
\(525\) −0.180638 + 0.555947i −0.00788369 + 0.0242635i
\(526\) 0.272933 + 0.198297i 0.0119004 + 0.00864617i
\(527\) 18.7622 0.817295
\(528\) −0.159681 3.31278i −0.00694922 0.144170i
\(529\) −21.1208 −0.918296
\(530\) 12.1073 + 8.79644i 0.525906 + 0.382093i
\(531\) 2.67508 8.23304i 0.116088 0.357283i
\(532\) −0.283278 0.871839i −0.0122816 0.0377990i
\(533\) 50.0692 36.3774i 2.16874 1.57568i
\(534\) −3.13604 + 2.27846i −0.135710 + 0.0985987i
\(535\) −5.84019 17.9742i −0.252493 0.777094i
\(536\) 2.95196 9.08520i 0.127505 0.392421i
\(537\) 12.0138 + 8.72852i 0.518433 + 0.376664i
\(538\) −18.4085 −0.793647
\(539\) −3.10130 + 1.17557i −0.133582 + 0.0506354i
\(540\) 2.10130 0.0904254
\(541\) −25.9996 18.8898i −1.11781 0.812137i −0.133935 0.990990i \(-0.542761\pi\)
−0.983876 + 0.178853i \(0.942761\pi\)
\(542\) 5.10312 15.7058i 0.219198 0.674622i
\(543\) −3.11196 9.57762i −0.133547 0.411015i
\(544\) 1.50000 1.08981i 0.0643120 0.0467254i
\(545\) −19.2733 + 14.0029i −0.825579 + 0.599818i
\(546\) 1.71033 + 5.26385i 0.0731953 + 0.225272i
\(547\) 7.11455 21.8963i 0.304196 0.936219i −0.675780 0.737103i \(-0.736193\pi\)
0.979976 0.199116i \(-0.0638069\pi\)
\(548\) −11.1047 8.06806i −0.474371 0.344650i
\(549\) −5.08061 −0.216835
\(550\) −1.81288 + 0.687188i −0.0773016 + 0.0293018i
\(551\) 2.00263 0.0853148
\(552\) 1.10903 + 0.805760i 0.0472036 + 0.0342954i
\(553\) −5.48882 + 16.8929i −0.233409 + 0.718358i
\(554\) 1.32707 + 4.08430i 0.0563817 + 0.173525i
\(555\) −6.13169 + 4.45493i −0.260276 + 0.189101i
\(556\) 8.37767 6.08673i 0.355292 0.258135i
\(557\) −10.5475 32.4620i −0.446913 1.37546i −0.880372 0.474284i \(-0.842707\pi\)
0.433459 0.901173i \(-0.357293\pi\)
\(558\) −3.12703 + 9.62402i −0.132378 + 0.407417i
\(559\) −27.6429 20.0838i −1.16917 0.849452i
\(560\) 2.10130 0.0887959
\(561\) −0.296065 6.14223i −0.0124999 0.259325i
\(562\) 27.2609 1.14993
\(563\) 26.8898 + 19.5366i 1.13327 + 0.823367i 0.986167 0.165754i \(-0.0530058\pi\)
0.147101 + 0.989121i \(0.453006\pi\)
\(564\) −1.29311 + 3.97978i −0.0544497 + 0.167579i
\(565\) −0.553520 1.70356i −0.0232868 0.0716693i
\(566\) −13.7040 + 9.95653i −0.576021 + 0.418504i
\(567\) 0.809017 0.587785i 0.0339755 0.0246847i
\(568\) −0.444570 1.36825i −0.0186537 0.0574103i
\(569\) −4.85520 + 14.9428i −0.203541 + 0.626433i 0.796230 + 0.604995i \(0.206825\pi\)
−0.999770 + 0.0214389i \(0.993175\pi\)
\(570\) 1.55839 + 1.13223i 0.0652736 + 0.0474240i
\(571\) 42.4136 1.77495 0.887476 0.460854i \(-0.152457\pi\)
0.887476 + 0.460854i \(0.152457\pi\)
\(572\) −10.0623 + 15.3531i −0.420724 + 0.641946i
\(573\) −5.58891 −0.233480
\(574\) −9.04635 6.57256i −0.377587 0.274333i
\(575\) 0.247626 0.762114i 0.0103267 0.0317824i
\(576\) 0.309017 + 0.951057i 0.0128757 + 0.0396274i
\(577\) −9.32836 + 6.77745i −0.388345 + 0.282149i −0.764777 0.644295i \(-0.777151\pi\)
0.376432 + 0.926444i \(0.377151\pi\)
\(578\) −10.9721 + 7.97172i −0.456381 + 0.331580i
\(579\) 2.89997 + 8.92518i 0.120519 + 0.370918i
\(580\) −1.41853 + 4.36579i −0.0589014 + 0.181280i
\(581\) −9.34636 6.79053i −0.387753 0.281719i
\(582\) 5.71933 0.237074
\(583\) 14.7880 + 18.4191i 0.612456 + 0.762843i
\(584\) 13.1289 0.543276
\(585\) −9.40897 6.83602i −0.389013 0.282634i
\(586\) −1.64934 + 5.07613i −0.0681334 + 0.209693i
\(587\) 2.42587 + 7.46607i 0.100126 + 0.308158i 0.988556 0.150856i \(-0.0482030\pi\)
−0.888429 + 0.459013i \(0.848203\pi\)
\(588\) 0.809017 0.587785i 0.0333633 0.0242399i
\(589\) −7.50478 + 5.45254i −0.309229 + 0.224668i
\(590\) 5.62112 + 17.3000i 0.231418 + 0.712231i
\(591\) 5.87554 18.0831i 0.241687 0.743838i
\(592\) −2.91805 2.12009i −0.119931 0.0871351i
\(593\) 15.9182 0.653682 0.326841 0.945079i \(-0.394016\pi\)
0.326841 + 0.945079i \(0.394016\pi\)
\(594\) 3.19998 + 0.871839i 0.131297 + 0.0357720i
\(595\) 3.89602 0.159721
\(596\) 7.23607 + 5.25731i 0.296401 + 0.215348i
\(597\) 4.10425 12.6316i 0.167976 0.516976i
\(598\) −2.34459 7.21590i −0.0958773 0.295080i
\(599\) 5.54769 4.03063i 0.226673 0.164687i −0.468653 0.883383i \(-0.655260\pi\)
0.695325 + 0.718695i \(0.255260\pi\)
\(600\) 0.472917 0.343594i 0.0193067 0.0140272i
\(601\) 1.03079 + 3.17244i 0.0420467 + 0.129407i 0.969876 0.243598i \(-0.0783277\pi\)
−0.927830 + 0.373004i \(0.878328\pi\)
\(602\) −1.90771 + 5.87131i −0.0777523 + 0.239297i
\(603\) 7.72833 + 5.61496i 0.314722 + 0.228659i
\(604\) −17.9399 −0.729965
\(605\) 23.0071 2.22312i 0.935371 0.0903826i
\(606\) 5.93471 0.241081
\(607\) 13.4146 + 9.74626i 0.544481 + 0.395589i 0.825747 0.564041i \(-0.190754\pi\)
−0.281265 + 0.959630i \(0.590754\pi\)
\(608\) −0.283278 + 0.871839i −0.0114884 + 0.0353578i
\(609\) 0.675075 + 2.07767i 0.0273554 + 0.0841914i
\(610\) 8.63695 6.27511i 0.349700 0.254072i
\(611\) 18.7373 13.6135i 0.758031 0.550742i
\(612\) 0.572949 + 1.76336i 0.0231601 + 0.0712794i
\(613\) −7.49887 + 23.0792i −0.302877 + 0.932158i 0.677585 + 0.735445i \(0.263027\pi\)
−0.980461 + 0.196713i \(0.936973\pi\)
\(614\) 8.42488 + 6.12103i 0.340000 + 0.247025i
\(615\) 23.4965 0.947469
\(616\) 3.19998 + 0.871839i 0.128931 + 0.0351274i
\(617\) 29.3743 1.18257 0.591283 0.806464i \(-0.298622\pi\)
0.591283 + 0.806464i \(0.298622\pi\)
\(618\) −3.29093 2.39100i −0.132381 0.0961803i
\(619\) −6.61965 + 20.3732i −0.266066 + 0.818867i 0.725380 + 0.688349i \(0.241664\pi\)
−0.991446 + 0.130518i \(0.958336\pi\)
\(620\) −6.57082 20.2229i −0.263891 0.812172i
\(621\) −1.10903 + 0.805760i −0.0445040 + 0.0323340i
\(622\) −18.7978 + 13.6574i −0.753724 + 0.547612i
\(623\) −1.19786 3.68663i −0.0479912 0.147702i
\(624\) 1.71033 5.26385i 0.0684679 0.210723i
\(625\) 17.5844 + 12.7758i 0.703376 + 0.511032i
\(626\) 13.8334 0.552894
\(627\) 1.90344 + 2.37082i 0.0760159 + 0.0946814i
\(628\) −0.430756 −0.0171890
\(629\) −5.41036 3.93086i −0.215725 0.156734i
\(630\) −0.649336 + 1.99845i −0.0258702 + 0.0796202i
\(631\) −3.29786 10.1498i −0.131286 0.404056i 0.863708 0.503992i \(-0.168136\pi\)
−0.994994 + 0.0999364i \(0.968136\pi\)
\(632\) 14.3699 10.4404i 0.571605 0.415295i
\(633\) −19.8656 + 14.4332i −0.789588 + 0.573669i
\(634\) 4.68408 + 14.4161i 0.186028 + 0.572537i
\(635\) −8.62250 + 26.5373i −0.342173 + 1.05310i
\(636\) −5.76181 4.18620i −0.228471 0.165994i
\(637\) −5.53474 −0.219294
\(638\) −3.97162 + 6.05995i −0.157238 + 0.239916i
\(639\) 1.43866 0.0569125
\(640\) −1.69998 1.23511i −0.0671978 0.0488220i
\(641\) −10.1600 + 31.2693i −0.401296 + 1.23506i 0.522653 + 0.852545i \(0.324942\pi\)
−0.923949 + 0.382516i \(0.875058\pi\)
\(642\) 2.77933 + 8.55389i 0.109691 + 0.337595i
\(643\) 26.6857 19.3883i 1.05238 0.764601i 0.0797188 0.996817i \(-0.474598\pi\)
0.972664 + 0.232216i \(0.0745978\pi\)
\(644\) −1.10903 + 0.805760i −0.0437020 + 0.0317514i
\(645\) −4.00865 12.3374i −0.157841 0.485783i
\(646\) −0.525226 + 1.61648i −0.0206647 + 0.0635995i
\(647\) 29.7392 + 21.6068i 1.16917 + 0.849451i 0.990909 0.134533i \(-0.0429533\pi\)
0.178260 + 0.983983i \(0.442953\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 1.38231 + 28.6778i 0.0542606 + 1.12570i
\(650\) −3.23537 −0.126902
\(651\) −8.18668 5.94797i −0.320861 0.233119i
\(652\) −5.56231 + 17.1190i −0.217837 + 0.670432i
\(653\) 4.95231 + 15.2416i 0.193799 + 0.596451i 0.999989 + 0.00479421i \(0.00152605\pi\)
−0.806190 + 0.591657i \(0.798474\pi\)
\(654\) 9.17212 6.66394i 0.358658 0.260580i
\(655\) −17.5688 + 12.7645i −0.686469 + 0.498749i
\(656\) 3.45540 + 10.6346i 0.134911 + 0.415212i
\(657\) −4.05704 + 12.4863i −0.158280 + 0.487137i
\(658\) −3.38540 2.45964i −0.131977 0.0958867i
\(659\) 15.0609 0.586691 0.293346 0.956006i \(-0.405231\pi\)
0.293346 + 0.956006i \(0.405231\pi\)
\(660\) −6.51674 + 2.47022i −0.253664 + 0.0961532i
\(661\) 21.9475 0.853659 0.426829 0.904332i \(-0.359631\pi\)
0.426829 + 0.904332i \(0.359631\pi\)
\(662\) 2.66051 + 1.93297i 0.103404 + 0.0751272i
\(663\) 3.17112 9.75972i 0.123156 0.379036i
\(664\) 3.56999 + 10.9873i 0.138543 + 0.426390i
\(665\) −1.55839 + 1.13223i −0.0604316 + 0.0439061i
\(666\) 2.91805 2.12009i 0.113072 0.0821517i
\(667\) −0.925420 2.84815i −0.0358324 0.110281i
\(668\) −2.15834 + 6.64268i −0.0835086 + 0.257013i
\(669\) 15.3476 + 11.1507i 0.593374 + 0.431111i
\(670\) −20.0731 −0.775493
\(671\) 15.7565 5.97261i 0.608271 0.230570i
\(672\) −1.00000 −0.0385758
\(673\) −11.8430 8.60443i −0.456513 0.331676i 0.335649 0.941987i \(-0.391044\pi\)
−0.792162 + 0.610311i \(0.791044\pi\)
\(674\) 1.96526 6.04845i 0.0756990 0.232978i
\(675\) 0.180638 + 0.555947i 0.00695276 + 0.0213984i
\(676\) −14.2657 + 10.3646i −0.548680 + 0.398639i
\(677\) −21.1692 + 15.3803i −0.813599 + 0.591114i −0.914872 0.403744i \(-0.867709\pi\)
0.101273 + 0.994859i \(0.467709\pi\)
\(678\) 0.263419 + 0.810719i 0.0101165 + 0.0311355i
\(679\) −1.76737 + 5.43941i −0.0678254 + 0.208745i
\(680\) −3.15194 2.29002i −0.120872 0.0878183i
\(681\) −23.9537 −0.917907
\(682\) −1.61586 33.5230i −0.0618744 1.28366i
\(683\) 1.96071 0.0750246 0.0375123 0.999296i \(-0.488057\pi\)
0.0375123 + 0.999296i \(0.488057\pi\)
\(684\) −0.741631 0.538826i −0.0283570 0.0206025i
\(685\) −8.91292 + 27.4311i −0.340545 + 1.04809i
\(686\) 0.309017 + 0.951057i 0.0117983 + 0.0363115i
\(687\) −9.56443 + 6.94897i −0.364906 + 0.265120i
\(688\) 4.99444 3.62867i 0.190411 0.138342i
\(689\) 12.1809 + 37.4891i 0.464057 + 1.42822i
\(690\) 0.890136 2.73956i 0.0338869 0.104293i
\(691\) 2.15960 + 1.56904i 0.0821551 + 0.0596891i 0.628105 0.778129i \(-0.283831\pi\)
−0.545950 + 0.837818i \(0.683831\pi\)
\(692\) 14.7972 0.562507
\(693\) −1.81802 + 2.77395i −0.0690608 + 0.105374i
\(694\) 4.27476 0.162268
\(695\) −17.6040 12.7900i −0.667756 0.485153i
\(696\) 0.675075 2.07767i 0.0255887 0.0787538i
\(697\) 6.40666 + 19.7177i 0.242670 + 0.746860i
\(698\) 24.2962 17.6522i 0.919625 0.668146i
\(699\) −14.7519 + 10.7179i −0.557968 + 0.405387i
\(700\) 0.180638 + 0.555947i 0.00682748 + 0.0210128i
\(701\) 7.75624 23.8713i 0.292949 0.901605i −0.690953 0.722899i \(-0.742809\pi\)
0.983903 0.178706i \(-0.0571910\pi\)
\(702\) 4.47770 + 3.25324i 0.169000 + 0.122786i
\(703\) 3.30647 0.124706
\(704\) −2.07639 2.58624i −0.0782568 0.0974724i
\(705\) 8.79306 0.331166
\(706\) −0.218066 0.158435i −0.00820704 0.00596276i
\(707\) −1.83393 + 5.64424i −0.0689719 + 0.212274i
\(708\) −2.67508 8.23304i −0.100535 0.309416i
\(709\) −35.3841 + 25.7081i −1.32888 + 0.965487i −0.329103 + 0.944294i \(0.606746\pi\)
−0.999775 + 0.0211925i \(0.993254\pi\)
\(710\) −2.44570 + 1.77690i −0.0917854 + 0.0666860i
\(711\) 5.48882 + 16.8929i 0.205847 + 0.633532i
\(712\) −1.19786 + 3.68663i −0.0448917 + 0.138162i
\(713\) 11.2226 + 8.15372i 0.420291 + 0.305359i
\(714\) −1.85410 −0.0693880
\(715\) 37.2162 + 10.1396i 1.39181 + 0.379200i
\(716\) 14.8499 0.554965
\(717\) −5.07287 3.68565i −0.189450 0.137643i
\(718\) 1.31162 4.03676i 0.0489494 0.150651i
\(719\) −7.55199 23.2426i −0.281642 0.866804i −0.987385 0.158337i \(-0.949387\pi\)
0.705743 0.708468i \(-0.250613\pi\)
\(720\) 1.69998 1.23511i 0.0633547 0.0460299i
\(721\) 3.29093 2.39100i 0.122561 0.0890456i
\(722\) 5.61164 + 17.2709i 0.208844 + 0.642755i
\(723\) 5.04213 15.5181i 0.187519 0.577124i
\(724\) −8.14721 5.91930i −0.302789 0.219989i
\(725\) −1.27702 −0.0474272
\(726\) −10.9490 + 1.05798i −0.406356 + 0.0392651i
\(727\) −10.9451 −0.405933 −0.202966 0.979186i \(-0.565058\pi\)
−0.202966 + 0.979186i \(0.565058\pi\)
\(728\) 4.47770 + 3.25324i 0.165955 + 0.120573i
\(729\) 0.309017 0.951057i 0.0114451 0.0352243i
\(730\) −8.52504 26.2374i −0.315526 0.971089i
\(731\) 9.26020 6.72793i 0.342501 0.248841i
\(732\) −4.11030 + 2.98631i −0.151921 + 0.110377i
\(733\) 7.19112 + 22.1320i 0.265610 + 0.817463i 0.991552 + 0.129708i \(0.0414039\pi\)
−0.725942 + 0.687756i \(0.758596\pi\)
\(734\) 3.70047 11.3889i 0.136587 0.420371i
\(735\) −1.69998 1.23511i −0.0627048 0.0455577i
\(736\) 1.37084 0.0505298
\(737\) −30.5686 8.32846i −1.12601 0.306783i
\(738\) −11.1819 −0.411611
\(739\) 37.9202 + 27.5506i 1.39492 + 1.01347i 0.995306 + 0.0967819i \(0.0308549\pi\)
0.399611 + 0.916685i \(0.369145\pi\)
\(740\) −2.34210 + 7.20823i −0.0860971 + 0.264980i
\(741\) 1.56787 + 4.82540i 0.0575971 + 0.177266i
\(742\) 5.76181 4.18620i 0.211523 0.153680i
\(743\) 36.4613 26.4907i 1.33763 0.971848i 0.338107 0.941108i \(-0.390213\pi\)
0.999527 0.0307409i \(-0.00978667\pi\)
\(744\) 3.12703 + 9.62402i 0.114643 + 0.352834i
\(745\) 5.80784 17.8747i 0.212783 0.654878i
\(746\) 9.34714 + 6.79110i 0.342223 + 0.248640i
\(747\) −11.5527 −0.422693
\(748\) −3.84983 4.79515i −0.140764 0.175328i
\(749\) −8.99409 −0.328637
\(750\) −9.49366 6.89755i −0.346659 0.251863i
\(751\) −13.0175 + 40.0639i −0.475017 + 1.46195i 0.370918 + 0.928665i \(0.379043\pi\)
−0.845935 + 0.533286i \(0.820957\pi\)
\(752\) 1.29311 + 3.97978i 0.0471548 + 0.145128i
\(753\) 18.0657 13.1255i 0.658350 0.478320i
\(754\) −9.78193 + 7.10699i −0.356237 + 0.258821i
\(755\) 11.6490 + 35.8521i 0.423952 + 1.30479i
\(756\) 0.309017 0.951057i 0.0112388 0.0345896i
\(757\) −33.8613 24.6017i −1.23071 0.894164i −0.233768 0.972292i \(-0.575106\pi\)
−0.996943 + 0.0781286i \(0.975106\pi\)
\(758\) 23.0875 0.838575
\(759\) 2.49221 3.80265i 0.0904616 0.138027i
\(760\) 1.92627 0.0698732
\(761\) 20.6884 + 15.0310i 0.749953 + 0.544873i 0.895812 0.444433i \(-0.146595\pi\)
−0.145859 + 0.989305i \(0.546595\pi\)
\(762\) 4.10342 12.6290i 0.148651 0.457501i
\(763\) 3.50344 + 10.7825i 0.126833 + 0.390352i
\(764\) −4.52152 + 3.28508i −0.163583 + 0.118850i
\(765\) 3.15194 2.29002i 0.113959 0.0827959i
\(766\) 9.86523 + 30.3620i 0.356445 + 1.09703i
\(767\) −14.8058 + 45.5677i −0.534608 + 1.64535i
\(768\) 0.809017 + 0.587785i 0.0291929 + 0.0212099i
\(769\) −8.94577 −0.322593 −0.161296 0.986906i \(-0.551568\pi\)
−0.161296 + 0.986906i \(0.551568\pi\)
\(770\) −0.335537 6.96113i −0.0120919 0.250862i
\(771\) −20.7930 −0.748842
\(772\) 7.59221 + 5.51607i 0.273250 + 0.198528i
\(773\) 14.6439 45.0692i 0.526704 1.62103i −0.234219 0.972184i \(-0.575253\pi\)
0.760922 0.648843i \(-0.224747\pi\)
\(774\) 1.90771 + 5.87131i