Properties

Label 168.2.ba.c.101.1
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.1
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41416 + 0.0117470i) q^{2} +(1.70617 + 0.298296i) q^{3} +(1.99972 - 0.0332243i) q^{4} +(0.337879 - 0.195075i) q^{5} +(-2.41631 - 0.401798i) q^{6} +(1.39526 - 2.24795i) q^{7} +(-2.82755 + 0.0704754i) q^{8} +(2.82204 + 1.01789i) q^{9} +O(q^{10})\) \(q+(-1.41416 + 0.0117470i) q^{2} +(1.70617 + 0.298296i) q^{3} +(1.99972 - 0.0332243i) q^{4} +(0.337879 - 0.195075i) q^{5} +(-2.41631 - 0.401798i) q^{6} +(1.39526 - 2.24795i) q^{7} +(-2.82755 + 0.0704754i) q^{8} +(2.82204 + 1.01789i) q^{9} +(-0.475526 + 0.279837i) q^{10} +(-0.748582 + 1.29658i) q^{11} +(3.42178 + 0.539824i) q^{12} -3.28768 q^{13} +(-1.94672 + 3.19536i) q^{14} +(0.634670 - 0.232043i) q^{15} +(3.99779 - 0.132879i) q^{16} +(1.68169 - 2.91278i) q^{17} +(-4.00278 - 1.40631i) q^{18} +(2.56203 + 4.43756i) q^{19} +(0.669184 - 0.401321i) q^{20} +(3.05110 - 3.41918i) q^{21} +(1.04339 - 1.84237i) q^{22} +(4.72764 - 2.72950i) q^{23} +(-4.84530 - 0.723204i) q^{24} +(-2.42389 + 4.19830i) q^{25} +(4.64932 - 0.0386203i) q^{26} +(4.51125 + 2.57850i) q^{27} +(2.71544 - 4.54163i) q^{28} -4.13801 q^{29} +(-0.894802 + 0.335602i) q^{30} +(-3.60237 - 2.07983i) q^{31} +(-5.65198 + 0.234875i) q^{32} +(-1.66397 + 1.98889i) q^{33} +(-2.34398 + 4.13891i) q^{34} +(0.0329110 - 1.03171i) q^{35} +(5.67712 + 1.94174i) q^{36} +(-7.46581 + 4.31038i) q^{37} +(-3.67525 - 6.24534i) q^{38} +(-5.60934 - 0.980702i) q^{39} +(-0.941622 + 0.575396i) q^{40} -11.1607 q^{41} +(-4.27459 + 4.87112i) q^{42} -4.79323i q^{43} +(-1.45388 + 2.61768i) q^{44} +(1.15207 - 0.206585i) q^{45} +(-6.65359 + 3.91550i) q^{46} +(2.51067 + 4.34861i) q^{47} +(6.86055 + 0.965812i) q^{48} +(-3.10652 - 6.27292i) q^{49} +(3.37846 - 5.96557i) q^{50} +(3.73813 - 4.46806i) q^{51} +(-6.57445 + 0.109231i) q^{52} +(-0.499243 + 0.864715i) q^{53} +(-6.40994 - 3.59342i) q^{54} +0.584118i q^{55} +(-3.78673 + 6.45451i) q^{56} +(3.04755 + 8.33548i) q^{57} +(5.85183 - 0.0486091i) q^{58} +(1.36034 + 0.785391i) q^{59} +(1.26146 - 0.485108i) q^{60} +(-3.40889 - 5.90437i) q^{61} +(5.11878 + 2.89891i) q^{62} +(6.22563 - 4.92357i) q^{63} +(7.99007 - 0.398545i) q^{64} +(-1.11084 + 0.641343i) q^{65} +(2.32977 - 2.83217i) q^{66} +(-3.05467 - 1.76361i) q^{67} +(3.26615 - 5.88063i) q^{68} +(8.88036 - 3.24676i) q^{69} +(-0.0344221 + 1.45940i) q^{70} +14.3360i q^{71} +(-8.05119 - 2.67925i) q^{72} +(2.76107 + 1.59410i) q^{73} +(10.5072 - 6.18329i) q^{74} +(-5.38791 + 6.43999i) q^{75} +(5.27078 + 8.78877i) q^{76} +(1.87018 + 3.49184i) q^{77} +(7.94406 + 1.32098i) q^{78} +(-0.239413 - 0.414676i) q^{79} +(1.32485 - 0.824765i) q^{80} +(6.92781 + 5.74504i) q^{81} +(15.7831 - 0.131105i) q^{82} -17.4548i q^{83} +(5.98776 - 6.93879i) q^{84} -1.31222i q^{85} +(0.0563059 + 6.77842i) q^{86} +(-7.06016 - 1.23435i) q^{87} +(2.02527 - 3.71891i) q^{88} +(-2.54840 - 4.41396i) q^{89} +(-1.62679 + 0.305678i) q^{90} +(-4.58716 + 7.39053i) q^{91} +(9.36328 - 5.61532i) q^{92} +(-5.52586 - 4.62312i) q^{93} +(-3.60159 - 6.12016i) q^{94} +(1.73131 + 0.999573i) q^{95} +(-9.71330 - 1.28523i) q^{96} -9.00074i q^{97} +(4.46682 + 8.83445i) q^{98} +(-3.43230 + 2.89703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41416 + 0.0117470i −0.999966 + 0.00830636i
\(3\) 1.70617 + 0.298296i 0.985058 + 0.172221i
\(4\) 1.99972 0.0332243i 0.999862 0.0166122i
\(5\) 0.337879 0.195075i 0.151104 0.0872401i −0.422542 0.906344i \(-0.638862\pi\)
0.573646 + 0.819103i \(0.305529\pi\)
\(6\) −2.41631 0.401798i −0.986455 0.164033i
\(7\) 1.39526 2.24795i 0.527357 0.849644i
\(8\) −2.82755 + 0.0704754i −0.999690 + 0.0249168i
\(9\) 2.82204 + 1.01789i 0.940680 + 0.339296i
\(10\) −0.475526 + 0.279837i −0.150374 + 0.0884922i
\(11\) −0.748582 + 1.29658i −0.225706 + 0.390934i −0.956531 0.291631i \(-0.905802\pi\)
0.730825 + 0.682565i \(0.239136\pi\)
\(12\) 3.42178 + 0.539824i 0.987783 + 0.155834i
\(13\) −3.28768 −0.911838 −0.455919 0.890021i \(-0.650689\pi\)
−0.455919 + 0.890021i \(0.650689\pi\)
\(14\) −1.94672 + 3.19536i −0.520282 + 0.853995i
\(15\) 0.634670 0.232043i 0.163871 0.0599132i
\(16\) 3.99779 0.132879i 0.999448 0.0332197i
\(17\) 1.68169 2.91278i 0.407871 0.706453i −0.586780 0.809746i \(-0.699605\pi\)
0.994651 + 0.103293i \(0.0329381\pi\)
\(18\) −4.00278 1.40631i −0.943465 0.331471i
\(19\) 2.56203 + 4.43756i 0.587769 + 1.01805i 0.994524 + 0.104509i \(0.0333270\pi\)
−0.406755 + 0.913537i \(0.633340\pi\)
\(20\) 0.669184 0.401321i 0.149634 0.0897382i
\(21\) 3.05110 3.41918i 0.665805 0.746126i
\(22\) 1.04339 1.84237i 0.222451 0.392795i
\(23\) 4.72764 2.72950i 0.985780 0.569141i 0.0817700 0.996651i \(-0.473943\pi\)
0.904010 + 0.427511i \(0.140609\pi\)
\(24\) −4.84530 0.723204i −0.989044 0.147623i
\(25\) −2.42389 + 4.19830i −0.484778 + 0.839661i
\(26\) 4.64932 0.0386203i 0.911807 0.00757406i
\(27\) 4.51125 + 2.57850i 0.868190 + 0.496232i
\(28\) 2.71544 4.54163i 0.513170 0.858287i
\(29\) −4.13801 −0.768410 −0.384205 0.923248i \(-0.625524\pi\)
−0.384205 + 0.923248i \(0.625524\pi\)
\(30\) −0.894802 + 0.335602i −0.163368 + 0.0612723i
\(31\) −3.60237 2.07983i −0.647005 0.373549i 0.140303 0.990109i \(-0.455192\pi\)
−0.787308 + 0.616560i \(0.788526\pi\)
\(32\) −5.65198 + 0.234875i −0.999138 + 0.0415204i
\(33\) −1.66397 + 1.98889i −0.289661 + 0.346222i
\(34\) −2.34398 + 4.13891i −0.401989 + 0.709816i
\(35\) 0.0329110 1.03171i 0.00556298 0.174391i
\(36\) 5.67712 + 1.94174i 0.946186 + 0.323623i
\(37\) −7.46581 + 4.31038i −1.22737 + 0.708623i −0.966479 0.256745i \(-0.917350\pi\)
−0.260892 + 0.965368i \(0.584017\pi\)
\(38\) −3.67525 6.24534i −0.596205 1.01313i
\(39\) −5.60934 0.980702i −0.898214 0.157038i
\(40\) −0.941622 + 0.575396i −0.148884 + 0.0909780i
\(41\) −11.1607 −1.74301 −0.871505 0.490387i \(-0.836855\pi\)
−0.871505 + 0.490387i \(0.836855\pi\)
\(42\) −4.27459 + 4.87112i −0.659584 + 0.751631i
\(43\) 4.79323i 0.730961i −0.930819 0.365480i \(-0.880905\pi\)
0.930819 0.365480i \(-0.119095\pi\)
\(44\) −1.45388 + 2.61768i −0.219181 + 0.394630i
\(45\) 1.15207 0.206585i 0.171741 0.0307959i
\(46\) −6.65359 + 3.91550i −0.981019 + 0.577309i
\(47\) 2.51067 + 4.34861i 0.366219 + 0.634310i 0.988971 0.148109i \(-0.0473187\pi\)
−0.622752 + 0.782419i \(0.713985\pi\)
\(48\) 6.86055 + 0.965812i 0.990236 + 0.139403i
\(49\) −3.10652 6.27292i −0.443788 0.896132i
\(50\) 3.37846 5.96557i 0.477787 0.843658i
\(51\) 3.73813 4.46806i 0.523443 0.625653i
\(52\) −6.57445 + 0.109231i −0.911712 + 0.0151476i
\(53\) −0.499243 + 0.864715i −0.0685763 + 0.118778i −0.898275 0.439434i \(-0.855179\pi\)
0.829699 + 0.558212i \(0.188512\pi\)
\(54\) −6.40994 3.59342i −0.872282 0.489003i
\(55\) 0.584118i 0.0787624i
\(56\) −3.78673 + 6.45451i −0.506023 + 0.862520i
\(57\) 3.04755 + 8.33548i 0.403657 + 1.10406i
\(58\) 5.85183 0.0486091i 0.768383 0.00638269i
\(59\) 1.36034 + 0.785391i 0.177101 + 0.102249i 0.585930 0.810362i \(-0.300729\pi\)
−0.408829 + 0.912611i \(0.634063\pi\)
\(60\) 1.26146 0.485108i 0.162853 0.0626272i
\(61\) −3.40889 5.90437i −0.436464 0.755977i 0.560950 0.827850i \(-0.310436\pi\)
−0.997414 + 0.0718723i \(0.977103\pi\)
\(62\) 5.11878 + 2.89891i 0.650085 + 0.368161i
\(63\) 6.22563 4.92357i 0.784355 0.620312i
\(64\) 7.99007 0.398545i 0.998758 0.0498181i
\(65\) −1.11084 + 0.641343i −0.137783 + 0.0795488i
\(66\) 2.32977 2.83217i 0.286775 0.348616i
\(67\) −3.05467 1.76361i −0.373187 0.215460i 0.301663 0.953415i \(-0.402458\pi\)
−0.674850 + 0.737955i \(0.735792\pi\)
\(68\) 3.26615 5.88063i 0.396079 0.713131i
\(69\) 8.88036 3.24676i 1.06907 0.390864i
\(70\) −0.0344221 + 1.45940i −0.00411423 + 0.174432i
\(71\) 14.3360i 1.70137i 0.525677 + 0.850684i \(0.323812\pi\)
−0.525677 + 0.850684i \(0.676188\pi\)
\(72\) −8.05119 2.67925i −0.948842 0.315752i
\(73\) 2.76107 + 1.59410i 0.323159 + 0.186576i 0.652800 0.757531i \(-0.273594\pi\)
−0.329641 + 0.944106i \(0.606928\pi\)
\(74\) 10.5072 6.18329i 1.22144 0.718793i
\(75\) −5.38791 + 6.43999i −0.622142 + 0.743626i
\(76\) 5.27078 + 8.78877i 0.604600 + 1.00814i
\(77\) 1.87018 + 3.49184i 0.213127 + 0.397932i
\(78\) 7.94406 + 1.32098i 0.899487 + 0.149572i
\(79\) −0.239413 0.414676i −0.0269361 0.0466547i 0.852243 0.523146i \(-0.175242\pi\)
−0.879179 + 0.476491i \(0.841908\pi\)
\(80\) 1.32485 0.824765i 0.148123 0.0922116i
\(81\) 6.92781 + 5.74504i 0.769756 + 0.638338i
\(82\) 15.7831 0.131105i 1.74295 0.0144781i
\(83\) 17.4548i 1.91591i −0.286911 0.957957i \(-0.592628\pi\)
0.286911 0.957957i \(-0.407372\pi\)
\(84\) 5.98776 6.93879i 0.653318 0.757084i
\(85\) 1.31222i 0.142331i
\(86\) 0.0563059 + 6.77842i 0.00607163 + 0.730935i
\(87\) −7.06016 1.23435i −0.756928 0.132337i
\(88\) 2.02527 3.71891i 0.215895 0.396437i
\(89\) −2.54840 4.41396i −0.270130 0.467879i 0.698765 0.715351i \(-0.253733\pi\)
−0.968895 + 0.247473i \(0.920400\pi\)
\(90\) −1.62679 + 0.305678i −0.171479 + 0.0322213i
\(91\) −4.58716 + 7.39053i −0.480865 + 0.774738i
\(92\) 9.36328 5.61532i 0.976190 0.585438i
\(93\) −5.52586 4.62312i −0.573005 0.479395i
\(94\) −3.60159 6.12016i −0.371475 0.631246i
\(95\) 1.73131 + 0.999573i 0.177629 + 0.102554i
\(96\) −9.71330 1.28523i −0.991360 0.131173i
\(97\) 9.00074i 0.913887i −0.889496 0.456943i \(-0.848944\pi\)
0.889496 0.456943i \(-0.151056\pi\)
\(98\) 4.46682 + 8.83445i 0.451217 + 0.892414i
\(99\) −3.43230 + 2.89703i −0.344959 + 0.291163i
\(100\) −4.70763 + 8.47598i −0.470763 + 0.847598i
\(101\) −4.63907 2.67837i −0.461605 0.266508i 0.251114 0.967958i \(-0.419203\pi\)
−0.712719 + 0.701450i \(0.752536\pi\)
\(102\) −5.23384 + 6.36248i −0.518228 + 0.629980i
\(103\) 7.70831 4.45039i 0.759522 0.438510i −0.0696021 0.997575i \(-0.522173\pi\)
0.829124 + 0.559065i \(0.188840\pi\)
\(104\) 9.29608 0.231700i 0.911555 0.0227201i
\(105\) 0.363908 1.75046i 0.0355138 0.170828i
\(106\) 0.695854 1.22871i 0.0675874 0.119343i
\(107\) 7.85256 + 13.6010i 0.759135 + 1.31486i 0.943292 + 0.331964i \(0.107711\pi\)
−0.184157 + 0.982897i \(0.558955\pi\)
\(108\) 9.10692 + 5.00640i 0.876314 + 0.481741i
\(109\) 15.1582 + 8.75159i 1.45189 + 0.838250i 0.998589 0.0531069i \(-0.0169124\pi\)
0.453303 + 0.891357i \(0.350246\pi\)
\(110\) −0.00686161 0.826039i −0.000654229 0.0787597i
\(111\) −14.0237 + 5.12723i −1.33107 + 0.486655i
\(112\) 5.27924 9.17222i 0.498841 0.866693i
\(113\) 0.0726142i 0.00683097i 0.999994 + 0.00341549i \(0.00108718\pi\)
−0.999994 + 0.00341549i \(0.998913\pi\)
\(114\) −4.40765 11.7519i −0.412814 1.10067i
\(115\) 1.06491 1.84448i 0.0993037 0.171999i
\(116\) −8.27488 + 0.137483i −0.768304 + 0.0127649i
\(117\) −9.27796 3.34649i −0.857748 0.309383i
\(118\) −1.93297 1.09469i −0.177944 0.100775i
\(119\) −4.20138 7.84443i −0.385139 0.719098i
\(120\) −1.77821 + 0.700841i −0.162327 + 0.0639777i
\(121\) 4.37925 + 7.58508i 0.398114 + 0.689553i
\(122\) 4.89009 + 8.30971i 0.442728 + 0.752326i
\(123\) −19.0421 3.32920i −1.71697 0.300183i
\(124\) −7.27285 4.03940i −0.653121 0.362749i
\(125\) 3.84211i 0.343649i
\(126\) −8.74622 + 7.03588i −0.779176 + 0.626806i
\(127\) −8.81577 −0.782273 −0.391137 0.920333i \(-0.627918\pi\)
−0.391137 + 0.920333i \(0.627918\pi\)
\(128\) −11.2946 + 0.657467i −0.998310 + 0.0581125i
\(129\) 1.42980 8.17807i 0.125887 0.720039i
\(130\) 1.56338 0.920014i 0.137117 0.0806906i
\(131\) 4.36183 2.51830i 0.381095 0.220025i −0.297200 0.954815i \(-0.596053\pi\)
0.678294 + 0.734790i \(0.262719\pi\)
\(132\) −3.26141 + 4.03252i −0.283869 + 0.350986i
\(133\) 13.5501 + 0.432239i 1.17494 + 0.0374799i
\(134\) 4.34052 + 2.45816i 0.374964 + 0.212352i
\(135\) 2.02726 0.00881014i 0.174478 0.000758256i
\(136\) −4.54979 + 8.35455i −0.390142 + 0.716396i
\(137\) 6.34787 + 3.66494i 0.542335 + 0.313117i 0.746025 0.665918i \(-0.231960\pi\)
−0.203690 + 0.979035i \(0.565293\pi\)
\(138\) −12.5201 + 4.69577i −1.06579 + 0.399731i
\(139\) −15.7497 −1.33587 −0.667935 0.744220i \(-0.732822\pi\)
−0.667935 + 0.744220i \(0.732822\pi\)
\(140\) 0.0315350 2.06424i 0.00266519 0.174460i
\(141\) 2.98646 + 8.16840i 0.251505 + 0.687903i
\(142\) −0.168404 20.2735i −0.0141322 1.70131i
\(143\) 2.46110 4.26275i 0.205807 0.356469i
\(144\) 11.4172 + 3.69432i 0.951432 + 0.307860i
\(145\) −1.39815 + 0.807222i −0.116110 + 0.0670361i
\(146\) −3.92333 2.22189i −0.324697 0.183885i
\(147\) −3.42906 11.6293i −0.282824 0.959172i
\(148\) −14.7863 + 8.86763i −1.21543 + 0.728914i
\(149\) 8.98969 + 15.5706i 0.736464 + 1.27559i 0.954078 + 0.299559i \(0.0968395\pi\)
−0.217613 + 0.976035i \(0.569827\pi\)
\(150\) 7.54374 9.17049i 0.615944 0.748768i
\(151\) −7.89149 + 13.6685i −0.642201 + 1.11232i 0.342740 + 0.939430i \(0.388645\pi\)
−0.984940 + 0.172894i \(0.944688\pi\)
\(152\) −7.55699 12.3669i −0.612953 1.00308i
\(153\) 7.71069 6.50820i 0.623373 0.526157i
\(154\) −2.68576 4.91606i −0.216425 0.396148i
\(155\) −1.62289 −0.130354
\(156\) −11.2497 1.77477i −0.900699 0.142095i
\(157\) 2.53274 4.38683i 0.202134 0.350107i −0.747082 0.664732i \(-0.768546\pi\)
0.949216 + 0.314625i \(0.101879\pi\)
\(158\) 0.343441 + 0.583608i 0.0273227 + 0.0464294i
\(159\) −1.10974 + 1.32643i −0.0880077 + 0.105193i
\(160\) −1.86387 + 1.18192i −0.147352 + 0.0934387i
\(161\) 0.460494 14.4358i 0.0362920 1.13770i
\(162\) −9.86455 8.04306i −0.775032 0.631922i
\(163\) 10.8745 6.27840i 0.851757 0.491762i −0.00948597 0.999955i \(-0.503020\pi\)
0.861243 + 0.508193i \(0.169686\pi\)
\(164\) −22.3183 + 0.370807i −1.74277 + 0.0289551i
\(165\) −0.174240 + 0.996605i −0.0135646 + 0.0775856i
\(166\) 0.205041 + 24.6840i 0.0159143 + 1.91585i
\(167\) 7.43145 0.575063 0.287531 0.957771i \(-0.407165\pi\)
0.287531 + 0.957771i \(0.407165\pi\)
\(168\) −8.38617 + 9.88293i −0.647007 + 0.762484i
\(169\) −2.19116 −0.168551
\(170\) 0.0154147 + 1.85570i 0.00118225 + 0.142326i
\(171\) 2.71320 + 15.1308i 0.207483 + 1.15708i
\(172\) −0.159252 9.58514i −0.0121428 0.730860i
\(173\) 15.2445 8.80144i 1.15902 0.669161i 0.207952 0.978139i \(-0.433320\pi\)
0.951069 + 0.308978i \(0.0999870\pi\)
\(174\) 9.99873 + 1.66264i 0.758002 + 0.126045i
\(175\) 6.05561 + 11.3065i 0.457761 + 0.854690i
\(176\) −2.82039 + 5.28294i −0.212595 + 0.398216i
\(177\) 2.08669 + 1.74579i 0.156845 + 0.131222i
\(178\) 3.65571 + 6.21213i 0.274007 + 0.465619i
\(179\) 8.11784 14.0605i 0.606756 1.05093i −0.385016 0.922910i \(-0.625804\pi\)
0.991771 0.128022i \(-0.0408627\pi\)
\(180\) 2.29696 0.451390i 0.171206 0.0336446i
\(181\) 6.19340 0.460351 0.230176 0.973149i \(-0.426070\pi\)
0.230176 + 0.973149i \(0.426070\pi\)
\(182\) 6.40018 10.5053i 0.474413 0.778705i
\(183\) −4.05490 11.0907i −0.299747 0.819850i
\(184\) −13.1753 + 8.05098i −0.971293 + 0.593526i
\(185\) −1.68169 + 2.91278i −0.123641 + 0.214152i
\(186\) 7.86878 + 6.47294i 0.576967 + 0.474619i
\(187\) 2.51777 + 4.36091i 0.184118 + 0.318901i
\(188\) 5.16513 + 8.61261i 0.376706 + 0.628139i
\(189\) 12.0907 6.54338i 0.879467 0.475961i
\(190\) −2.46010 1.39322i −0.178475 0.101075i
\(191\) 7.28788 4.20766i 0.527333 0.304456i −0.212597 0.977140i \(-0.568192\pi\)
0.739930 + 0.672684i \(0.234859\pi\)
\(192\) 13.7513 + 1.70342i 0.992415 + 0.122934i
\(193\) 6.57333 11.3853i 0.473158 0.819534i −0.526370 0.850256i \(-0.676447\pi\)
0.999528 + 0.0307215i \(0.00978048\pi\)
\(194\) 0.105731 + 12.7285i 0.00759108 + 0.913855i
\(195\) −2.08659 + 0.762882i −0.149424 + 0.0546311i
\(196\) −6.42059 12.4409i −0.458614 0.888636i
\(197\) −17.6119 −1.25480 −0.627398 0.778699i \(-0.715880\pi\)
−0.627398 + 0.778699i \(0.715880\pi\)
\(198\) 4.81981 4.13720i 0.342529 0.294018i
\(199\) 17.2688 + 9.97017i 1.22416 + 0.706767i 0.965801 0.259284i \(-0.0834864\pi\)
0.258354 + 0.966050i \(0.416820\pi\)
\(200\) 6.55780 12.0417i 0.463706 0.851479i
\(201\) −4.68570 3.92022i −0.330504 0.276511i
\(202\) 6.59187 + 3.73316i 0.463803 + 0.262664i
\(203\) −5.77359 + 9.30203i −0.405227 + 0.652874i
\(204\) 7.32678 9.05908i 0.512977 0.634262i
\(205\) −3.77097 + 2.17717i −0.263376 + 0.152060i
\(206\) −10.8485 + 6.38414i −0.755853 + 0.444804i
\(207\) 16.1199 2.89055i 1.12041 0.200907i
\(208\) −13.1435 + 0.436863i −0.911335 + 0.0302910i
\(209\) −7.67154 −0.530652
\(210\) −0.494063 + 2.47972i −0.0340936 + 0.171117i
\(211\) 14.5159i 0.999314i −0.866223 0.499657i \(-0.833459\pi\)
0.866223 0.499657i \(-0.166541\pi\)
\(212\) −0.969619 + 1.74578i −0.0665937 + 0.119901i
\(213\) −4.27637 + 24.4596i −0.293012 + 1.67595i
\(214\) −11.2646 19.1419i −0.770031 1.30851i
\(215\) −0.935038 1.61953i −0.0637691 0.110451i
\(216\) −12.9375 6.97289i −0.880285 0.474445i
\(217\) −9.70158 + 5.19604i −0.658586 + 0.352730i
\(218\) −21.5390 12.1981i −1.45880 0.826161i
\(219\) 4.23534 + 3.54343i 0.286198 + 0.239443i
\(220\) 0.0194069 + 1.16807i 0.00130841 + 0.0787515i
\(221\) −5.52887 + 9.57629i −0.371912 + 0.644171i
\(222\) 19.7716 7.41549i 1.32698 0.497695i
\(223\) 2.77897i 0.186093i −0.995662 0.0930467i \(-0.970339\pi\)
0.995662 0.0930467i \(-0.0296606\pi\)
\(224\) −7.35797 + 13.0330i −0.491625 + 0.870807i
\(225\) −11.1137 + 9.38052i −0.740915 + 0.625368i
\(226\) −0.000852997 0.102688i −5.67405e−5 0.00683074i
\(227\) −14.0438 8.10819i −0.932119 0.538159i −0.0446379 0.999003i \(-0.514213\pi\)
−0.887481 + 0.460844i \(0.847547\pi\)
\(228\) 6.37119 + 16.5674i 0.421943 + 1.09720i
\(229\) −10.3150 17.8661i −0.681633 1.18062i −0.974482 0.224464i \(-0.927937\pi\)
0.292849 0.956159i \(-0.405397\pi\)
\(230\) −1.48430 + 2.62091i −0.0978716 + 0.172818i
\(231\) 2.14925 + 6.51554i 0.141410 + 0.428691i
\(232\) 11.7004 0.291628i 0.768171 0.0191463i
\(233\) 1.80462 1.04190i 0.118225 0.0682572i −0.439721 0.898134i \(-0.644923\pi\)
0.557946 + 0.829877i \(0.311589\pi\)
\(234\) 13.1599 + 4.62350i 0.860288 + 0.302248i
\(235\) 1.69661 + 0.979538i 0.110675 + 0.0638980i
\(236\) 2.74639 + 1.52537i 0.178775 + 0.0992931i
\(237\) −0.284784 0.778925i −0.0184987 0.0505966i
\(238\) 6.03359 + 11.0440i 0.391099 + 0.715874i
\(239\) 0.851762i 0.0550959i −0.999620 0.0275480i \(-0.991230\pi\)
0.999620 0.0275480i \(-0.00876990\pi\)
\(240\) 2.50645 1.01199i 0.161790 0.0653239i
\(241\) 13.0417 + 7.52961i 0.840087 + 0.485025i 0.857294 0.514827i \(-0.172144\pi\)
−0.0172066 + 0.999852i \(0.505477\pi\)
\(242\) −6.28208 10.6751i −0.403828 0.686222i
\(243\) 10.1063 + 11.8686i 0.648319 + 0.761369i
\(244\) −7.01301 11.6939i −0.448962 0.748622i
\(245\) −2.27332 1.51349i −0.145237 0.0966932i
\(246\) 26.9677 + 4.48434i 1.71940 + 0.285911i
\(247\) −8.42312 14.5893i −0.535950 0.928293i
\(248\) 10.3325 + 5.62694i 0.656112 + 0.357311i
\(249\) 5.20670 29.7809i 0.329961 1.88729i
\(250\) −0.0451331 5.43337i −0.00285447 0.343637i
\(251\) 11.8022i 0.744948i 0.928043 + 0.372474i \(0.121490\pi\)
−0.928043 + 0.372474i \(0.878510\pi\)
\(252\) 12.2860 10.0526i 0.773942 0.633256i
\(253\) 8.17302i 0.513834i
\(254\) 12.4670 0.103559i 0.782246 0.00649785i
\(255\) 0.391432 2.23888i 0.0245124 0.140204i
\(256\) 15.9647 1.06244i 0.997793 0.0664028i
\(257\) 8.86901 + 15.3616i 0.553233 + 0.958228i 0.998039 + 0.0626011i \(0.0199396\pi\)
−0.444805 + 0.895627i \(0.646727\pi\)
\(258\) −1.92591 + 11.5819i −0.119902 + 0.721060i
\(259\) −0.727204 + 22.7968i −0.0451863 + 1.41653i
\(260\) −2.20006 + 1.31942i −0.136442 + 0.0818267i
\(261\) −11.6776 4.21204i −0.722827 0.260719i
\(262\) −6.13876 + 3.61253i −0.379254 + 0.223183i
\(263\) −6.27815 3.62469i −0.387128 0.223508i 0.293787 0.955871i \(-0.405084\pi\)
−0.680915 + 0.732363i \(0.738418\pi\)
\(264\) 4.56480 5.74096i 0.280944 0.353331i
\(265\) 0.389559i 0.0239304i
\(266\) −19.1671 0.452085i −1.17521 0.0277191i
\(267\) −3.03134 8.29114i −0.185515 0.507410i
\(268\) −6.16709 3.42525i −0.376715 0.209230i
\(269\) −2.95817 1.70790i −0.180363 0.104132i 0.407100 0.913383i \(-0.366540\pi\)
−0.587463 + 0.809251i \(0.699873\pi\)
\(270\) −2.86677 + 0.0362731i −0.174466 + 0.00220751i
\(271\) 3.96989 2.29201i 0.241153 0.139230i −0.374553 0.927205i \(-0.622204\pi\)
0.615707 + 0.787975i \(0.288871\pi\)
\(272\) 6.33602 11.8682i 0.384177 0.719612i
\(273\) −10.0310 + 11.2412i −0.607106 + 0.680346i
\(274\) −9.01998 5.10826i −0.544917 0.308601i
\(275\) −3.62896 6.28555i −0.218835 0.379033i
\(276\) 17.6504 6.78767i 1.06243 0.408570i
\(277\) 10.6940 + 6.17421i 0.642543 + 0.370972i 0.785593 0.618743i \(-0.212358\pi\)
−0.143050 + 0.989715i \(0.545691\pi\)
\(278\) 22.2726 0.185011i 1.33582 0.0110962i
\(279\) −8.04900 9.53617i −0.481881 0.570916i
\(280\) −0.0203471 + 2.91954i −0.00121597 + 0.174476i
\(281\) 7.91565i 0.472208i −0.971728 0.236104i \(-0.924129\pi\)
0.971728 0.236104i \(-0.0758706\pi\)
\(282\) −4.31930 11.5164i −0.257211 0.685791i
\(283\) 11.3552 19.6678i 0.674999 1.16913i −0.301471 0.953475i \(-0.597478\pi\)
0.976469 0.215656i \(-0.0691891\pi\)
\(284\) 0.476303 + 28.6680i 0.0282634 + 1.70113i
\(285\) 2.65574 + 2.22189i 0.157313 + 0.131613i
\(286\) −3.43032 + 6.05714i −0.202839 + 0.358166i
\(287\) −15.5720 + 25.0887i −0.919189 + 1.48094i
\(288\) −16.1892 5.09026i −0.953956 0.299946i
\(289\) 2.84381 + 4.92562i 0.167283 + 0.289742i
\(290\) 1.96773 1.15797i 0.115549 0.0679983i
\(291\) 2.68489 15.3568i 0.157391 0.900232i
\(292\) 5.57434 + 3.09603i 0.326214 + 0.181182i
\(293\) 12.8246i 0.749220i −0.927183 0.374610i \(-0.877777\pi\)
0.927183 0.374610i \(-0.122223\pi\)
\(294\) 4.98587 + 16.4055i 0.290782 + 0.956789i
\(295\) 0.612840 0.0356809
\(296\) 20.8062 12.7140i 1.20933 0.738985i
\(297\) −6.72027 + 3.91899i −0.389950 + 0.227403i
\(298\) −12.8958 21.9138i −0.747035 1.26943i
\(299\) −15.5430 + 8.97373i −0.898872 + 0.518964i
\(300\) −10.5604 + 13.0572i −0.609703 + 0.753858i
\(301\) −10.7749 6.68778i −0.621056 0.385477i
\(302\) 10.9993 19.4222i 0.632939 1.11762i
\(303\) −7.11610 5.95357i −0.408809 0.342024i
\(304\) 10.8321 + 17.4000i 0.621264 + 0.997958i
\(305\) −2.30359 1.32998i −0.131903 0.0761542i
\(306\) −10.8277 + 9.29425i −0.618981 + 0.531317i
\(307\) 12.3622 0.705549 0.352774 0.935708i \(-0.385238\pi\)
0.352774 + 0.935708i \(0.385238\pi\)
\(308\) 3.85586 + 6.92057i 0.219708 + 0.394336i
\(309\) 14.4792 5.29377i 0.823694 0.301152i
\(310\) 2.29503 0.0190640i 0.130349 0.00108276i
\(311\) −0.720819 + 1.24850i −0.0408739 + 0.0707957i −0.885739 0.464184i \(-0.846348\pi\)
0.844865 + 0.534980i \(0.179681\pi\)
\(312\) 15.9298 + 2.37766i 0.901848 + 0.134609i
\(313\) −20.8822 + 12.0564i −1.18033 + 0.681466i −0.956092 0.293067i \(-0.905324\pi\)
−0.224242 + 0.974533i \(0.571991\pi\)
\(314\) −3.53017 + 6.23345i −0.199219 + 0.351774i
\(315\) 1.14305 2.87804i 0.0644033 0.162159i
\(316\) −0.492538 0.821284i −0.0277074 0.0462008i
\(317\) −13.4686 23.3283i −0.756472 1.31025i −0.944639 0.328111i \(-0.893588\pi\)
0.188167 0.982137i \(-0.439745\pi\)
\(318\) 1.55377 1.88882i 0.0871309 0.105920i
\(319\) 3.09764 5.36527i 0.173435 0.300398i
\(320\) 2.62193 1.69332i 0.146570 0.0946595i
\(321\) 9.34067 + 25.5481i 0.521345 + 1.42595i
\(322\) −0.481637 + 20.4200i −0.0268406 + 1.13796i
\(323\) 17.2342 0.958935
\(324\) 14.0446 + 11.2583i 0.780254 + 0.625463i
\(325\) 7.96898 13.8027i 0.442039 0.765635i
\(326\) −15.3046 + 9.00644i −0.847643 + 0.498820i
\(327\) 23.2519 + 19.4533i 1.28583 + 1.07577i
\(328\) 31.5574 0.786555i 1.74247 0.0434302i
\(329\) 13.2785 + 0.423575i 0.732066 + 0.0233524i
\(330\) 0.234697 1.41141i 0.0129196 0.0776956i
\(331\) 15.2782 8.82087i 0.839766 0.484839i −0.0174189 0.999848i \(-0.505545\pi\)
0.857185 + 0.515009i \(0.172212\pi\)
\(332\) −0.579924 34.9048i −0.0318275 1.91565i
\(333\) −25.4563 + 4.56471i −1.39500 + 0.250145i
\(334\) −10.5093 + 0.0872970i −0.575043 + 0.00477668i
\(335\) −1.37615 −0.0751868
\(336\) 11.7433 14.0746i 0.640651 0.767832i
\(337\) 11.0396 0.601365 0.300682 0.953724i \(-0.402786\pi\)
0.300682 + 0.953724i \(0.402786\pi\)
\(338\) 3.09866 0.0257395i 0.168545 0.00140005i
\(339\) −0.0216605 + 0.123892i −0.00117644 + 0.00672890i
\(340\) −0.0435978 2.62409i −0.00236442 0.142311i
\(341\) 5.39334 3.11385i 0.292066 0.168624i
\(342\) −4.01465 21.3656i −0.217087 1.15532i
\(343\) −18.4356 1.76905i −0.995428 0.0955198i
\(344\) 0.337805 + 13.5531i 0.0182132 + 0.730734i
\(345\) 2.36713 2.82935i 0.127442 0.152327i
\(346\) −21.4549 + 12.6258i −1.15342 + 0.678765i
\(347\) −10.8299 + 18.7579i −0.581377 + 1.00697i 0.413940 + 0.910304i \(0.364152\pi\)
−0.995316 + 0.0966701i \(0.969181\pi\)
\(348\) −14.1594 2.23380i −0.759022 0.119744i
\(349\) −6.46130 −0.345865 −0.172933 0.984934i \(-0.555324\pi\)
−0.172933 + 0.984934i \(0.555324\pi\)
\(350\) −8.69644 15.9181i −0.464844 0.850858i
\(351\) −14.8315 8.47727i −0.791649 0.452483i
\(352\) 3.92643 7.50407i 0.209280 0.399968i
\(353\) −14.9846 + 25.9541i −0.797549 + 1.38140i 0.123659 + 0.992325i \(0.460537\pi\)
−0.921208 + 0.389071i \(0.872796\pi\)
\(354\) −2.97143 2.44433i −0.157930 0.129915i
\(355\) 2.79659 + 4.84383i 0.148428 + 0.257084i
\(356\) −5.24275 8.74203i −0.277865 0.463327i
\(357\) −4.82830 14.6372i −0.255541 0.774683i
\(358\) −11.3148 + 19.9792i −0.598005 + 1.05594i
\(359\) −9.44412 + 5.45257i −0.498442 + 0.287775i −0.728070 0.685503i \(-0.759582\pi\)
0.229628 + 0.973278i \(0.426249\pi\)
\(360\) −3.24298 + 0.665322i −0.170920 + 0.0350655i
\(361\) −3.62795 + 6.28380i −0.190945 + 0.330726i
\(362\) −8.75848 + 0.0727537i −0.460336 + 0.00382385i
\(363\) 5.20915 + 14.2478i 0.273409 + 0.747814i
\(364\) −8.92750 + 14.9314i −0.467928 + 0.782619i
\(365\) 1.24388 0.0651075
\(366\) 5.86458 + 15.6365i 0.306546 + 0.817332i
\(367\) −2.43552 1.40615i −0.127133 0.0734002i 0.435085 0.900389i \(-0.356718\pi\)
−0.562218 + 0.826989i \(0.690052\pi\)
\(368\) 18.5374 11.5402i 0.966330 0.601574i
\(369\) −31.4959 11.3604i −1.63961 0.591396i
\(370\) 2.34398 4.13891i 0.121858 0.215171i
\(371\) 1.24726 + 2.32877i 0.0647545 + 0.120904i
\(372\) −11.2038 9.06137i −0.580889 0.469810i
\(373\) −26.9266 + 15.5461i −1.39421 + 0.804947i −0.993778 0.111380i \(-0.964473\pi\)
−0.400431 + 0.916327i \(0.631140\pi\)
\(374\) −3.61177 6.13747i −0.186760 0.317361i
\(375\) −1.14609 + 6.55529i −0.0591836 + 0.338514i
\(376\) −7.40552 12.1190i −0.381911 0.624988i
\(377\) 13.6045 0.700665
\(378\) −17.0213 + 9.39544i −0.875483 + 0.483249i
\(379\) 17.6950i 0.908931i 0.890764 + 0.454465i \(0.150170\pi\)
−0.890764 + 0.454465i \(0.849830\pi\)
\(380\) 3.49535 + 1.94135i 0.179308 + 0.0995891i
\(381\) −15.0412 2.62971i −0.770585 0.134724i
\(382\) −10.2568 + 6.03594i −0.524786 + 0.308825i
\(383\) −17.4953 30.3028i −0.893968 1.54840i −0.835076 0.550134i \(-0.814577\pi\)
−0.0588917 0.998264i \(-0.518757\pi\)
\(384\) −19.4666 2.24738i −0.993402 0.114686i
\(385\) 1.31306 + 0.814994i 0.0669200 + 0.0415359i
\(386\) −9.16202 + 16.1780i −0.466335 + 0.823436i
\(387\) 4.87897 13.5267i 0.248012 0.687600i
\(388\) −0.299044 17.9990i −0.0151816 0.913761i
\(389\) 10.4422 18.0864i 0.529439 0.917015i −0.469971 0.882682i \(-0.655736\pi\)
0.999410 0.0343338i \(-0.0109309\pi\)
\(390\) 2.94182 1.10335i 0.148965 0.0558704i
\(391\) 18.3608i 0.928543i
\(392\) 9.22592 + 17.5181i 0.465979 + 0.884796i
\(393\) 8.19322 2.99554i 0.413293 0.151105i
\(394\) 24.9061 0.206886i 1.25475 0.0104228i
\(395\) −0.161786 0.0934070i −0.00814032 0.00469982i
\(396\) −6.76741 + 5.90730i −0.340075 + 0.296853i
\(397\) −2.44443 4.23387i −0.122682 0.212492i 0.798142 0.602469i \(-0.205816\pi\)
−0.920825 + 0.389977i \(0.872483\pi\)
\(398\) −24.5381 13.8966i −1.22998 0.696574i
\(399\) 22.9898 + 4.77941i 1.15093 + 0.239270i
\(400\) −9.13235 + 17.1060i −0.456617 + 0.855301i
\(401\) −6.62355 + 3.82411i −0.330764 + 0.190967i −0.656180 0.754604i \(-0.727829\pi\)
0.325416 + 0.945571i \(0.394496\pi\)
\(402\) 6.67241 + 5.48879i 0.332790 + 0.273756i
\(403\) 11.8434 + 6.83782i 0.589964 + 0.340616i
\(404\) −9.36585 5.20187i −0.465968 0.258803i
\(405\) 3.46148 + 0.589691i 0.172002 + 0.0293020i
\(406\) 8.05554 13.2224i 0.399790 0.656218i
\(407\) 12.9067i 0.639762i
\(408\) −10.2549 + 12.8971i −0.507691 + 0.638501i
\(409\) −6.66584 3.84852i −0.329604 0.190297i 0.326061 0.945349i \(-0.394279\pi\)
−0.655666 + 0.755051i \(0.727612\pi\)
\(410\) 5.30720 3.12318i 0.262104 0.154243i
\(411\) 9.73731 + 8.14656i 0.480306 + 0.401840i
\(412\) 15.2666 9.15566i 0.752133 0.451067i
\(413\) 3.66354 1.96214i 0.180271 0.0965507i
\(414\) −22.7622 + 4.27708i −1.11870 + 0.210207i
\(415\) −3.40499 5.89762i −0.167145 0.289503i
\(416\) 18.5819 0.772193i 0.911052 0.0378599i
\(417\) −26.8716 4.69807i −1.31591 0.230065i
\(418\) 10.8488 0.0901174i 0.530634 0.00440779i
\(419\) 4.38235i 0.214092i −0.994254 0.107046i \(-0.965861\pi\)
0.994254 0.107046i \(-0.0341392\pi\)
\(420\) 0.669558 3.51253i 0.0326711 0.171394i
\(421\) 11.9400i 0.581921i 0.956735 + 0.290961i \(0.0939749\pi\)
−0.956735 + 0.290961i \(0.906025\pi\)
\(422\) 0.170518 + 20.5278i 0.00830067 + 0.999280i
\(423\) 2.65881 + 14.8275i 0.129276 + 0.720940i
\(424\) 1.35069 2.48021i 0.0655955 0.120450i
\(425\) 8.15249 + 14.1205i 0.395454 + 0.684946i
\(426\) 5.76017 34.6402i 0.279081 1.67832i
\(427\) −18.0290 0.575113i −0.872484 0.0278317i
\(428\) 16.1548 + 26.9374i 0.780873 + 1.30207i
\(429\) 5.47061 6.53884i 0.264124 0.315698i
\(430\) 1.34132 + 2.27930i 0.0646843 + 0.109918i
\(431\) 0.588922 + 0.340014i 0.0283674 + 0.0163779i 0.514117 0.857720i \(-0.328120\pi\)
−0.485749 + 0.874098i \(0.661453\pi\)
\(432\) 18.3777 + 9.70884i 0.884196 + 0.467117i
\(433\) 0.238499i 0.0114615i −0.999984 0.00573077i \(-0.998176\pi\)
0.999984 0.00573077i \(-0.00182417\pi\)
\(434\) 13.6586 7.46202i 0.655633 0.358188i
\(435\) −2.62627 + 0.960196i −0.125920 + 0.0460379i
\(436\) 30.6030 + 16.9971i 1.46562 + 0.814015i
\(437\) 24.2247 + 13.9861i 1.15882 + 0.669046i
\(438\) −6.03110 4.96124i −0.288177 0.237057i
\(439\) 3.29894 1.90465i 0.157450 0.0909038i −0.419205 0.907892i \(-0.637691\pi\)
0.576655 + 0.816988i \(0.304358\pi\)
\(440\) −0.0411659 1.65162i −0.00196251 0.0787380i
\(441\) −2.38158 20.8645i −0.113409 0.993548i
\(442\) 7.70624 13.6074i 0.366549 0.647238i
\(443\) 3.02001 + 5.23080i 0.143485 + 0.248523i 0.928807 0.370565i \(-0.120836\pi\)
−0.785322 + 0.619088i \(0.787503\pi\)
\(444\) −27.8732 + 10.7190i −1.32280 + 0.508700i
\(445\) −1.72210 0.994257i −0.0816355 0.0471323i
\(446\) 0.0326445 + 3.92992i 0.00154576 + 0.186087i
\(447\) 10.6933 + 29.2477i 0.505776 + 1.38337i
\(448\) 10.2523 18.5173i 0.484375 0.874861i
\(449\) 28.1482i 1.32839i −0.747558 0.664197i \(-0.768774\pi\)
0.747558 0.664197i \(-0.231226\pi\)
\(450\) 15.6064 13.3962i 0.735695 0.631501i
\(451\) 8.35470 14.4708i 0.393408 0.681402i
\(452\) 0.00241256 + 0.145208i 0.000113477 + 0.00683003i
\(453\) −17.5415 + 20.9667i −0.824171 + 0.985103i
\(454\) 19.9555 + 11.3013i 0.936557 + 0.530398i
\(455\) −0.108201 + 3.39194i −0.00507254 + 0.159017i
\(456\) −9.20453 23.3542i −0.431042 1.09366i
\(457\) −6.23304 10.7959i −0.291569 0.505013i 0.682612 0.730781i \(-0.260844\pi\)
−0.974181 + 0.225768i \(0.927511\pi\)
\(458\) 14.7970 + 25.1444i 0.691416 + 1.17492i
\(459\) 15.0971 8.80403i 0.704674 0.410937i
\(460\) 2.06825 3.72384i 0.0964327 0.173625i
\(461\) 31.6209i 1.47273i 0.676583 + 0.736367i \(0.263460\pi\)
−0.676583 + 0.736367i \(0.736540\pi\)
\(462\) −3.11593 9.18880i −0.144966 0.427501i
\(463\) 23.5095 1.09258 0.546290 0.837596i \(-0.316040\pi\)
0.546290 + 0.837596i \(0.316040\pi\)
\(464\) −16.5429 + 0.549855i −0.767986 + 0.0255264i
\(465\) −2.76893 0.484102i −0.128406 0.0224497i
\(466\) −2.53980 + 1.49462i −0.117654 + 0.0692368i
\(467\) −12.7642 + 7.36942i −0.590657 + 0.341016i −0.765357 0.643606i \(-0.777438\pi\)
0.174700 + 0.984622i \(0.444104\pi\)
\(468\) −18.6645 6.38381i −0.862769 0.295092i
\(469\) −8.22655 + 4.40603i −0.379867 + 0.203452i
\(470\) −2.41079 1.36530i −0.111201 0.0629765i
\(471\) 5.62985 6.72917i 0.259410 0.310064i
\(472\) −3.90177 2.12486i −0.179594 0.0978047i
\(473\) 6.21481 + 3.58812i 0.285757 + 0.164982i
\(474\) 0.411881 + 1.09818i 0.0189183 + 0.0504412i
\(475\) −24.8403 −1.13975
\(476\) −8.66222 15.5471i −0.397032 0.712601i
\(477\) −2.28907 + 1.93208i −0.104809 + 0.0884641i
\(478\) 0.0100056 + 1.20453i 0.000457647 + 0.0550940i
\(479\) 17.3034 29.9703i 0.790611 1.36938i −0.134979 0.990848i \(-0.543097\pi\)
0.925589 0.378529i \(-0.123570\pi\)
\(480\) −3.53264 + 1.46057i −0.161242 + 0.0666655i
\(481\) 24.5452 14.1712i 1.11916 0.646150i
\(482\) −18.5315 10.4949i −0.844087 0.478030i
\(483\) 5.09183 24.4926i 0.231686 1.11445i
\(484\) 9.00930 + 15.0226i 0.409514 + 0.682844i
\(485\) −1.75582 3.04117i −0.0797276 0.138092i
\(486\) −14.4314 16.6654i −0.654621 0.755957i
\(487\) −12.0284 + 20.8338i −0.545058 + 0.944068i 0.453545 + 0.891233i \(0.350159\pi\)
−0.998603 + 0.0528351i \(0.983174\pi\)
\(488\) 10.0549 + 16.4547i 0.455165 + 0.744867i
\(489\) 20.4266 7.46820i 0.923723 0.337724i
\(490\) 3.23262 + 2.11362i 0.146035 + 0.0954834i
\(491\) 15.3708 0.693675 0.346837 0.937925i \(-0.387256\pi\)
0.346837 + 0.937925i \(0.387256\pi\)
\(492\) −38.1895 6.02481i −1.72172 0.271620i
\(493\) −6.95887 + 12.0531i −0.313412 + 0.542845i
\(494\) 12.0831 + 20.5327i 0.543643 + 0.923809i
\(495\) −0.594567 + 1.64840i −0.0267238 + 0.0740902i
\(496\) −14.6779 7.83605i −0.659057 0.351849i
\(497\) 32.2265 + 20.0024i 1.44556 + 0.897229i
\(498\) −7.01330 + 42.1763i −0.314274 + 1.88996i
\(499\) −22.8684 + 13.2031i −1.02373 + 0.591051i −0.915182 0.403040i \(-0.867953\pi\)
−0.108548 + 0.994091i \(0.534620\pi\)
\(500\) 0.127651 + 7.68315i 0.00570874 + 0.343601i
\(501\) 12.6793 + 2.21677i 0.566470 + 0.0990381i
\(502\) −0.138640 16.6902i −0.00618781 0.744922i
\(503\) 28.3616 1.26458 0.632291 0.774731i \(-0.282115\pi\)
0.632291 + 0.774731i \(0.282115\pi\)
\(504\) −17.2563 + 14.3604i −0.768655 + 0.639663i
\(505\) −2.08993 −0.0930006
\(506\) −0.0960083 11.5580i −0.00426809 0.513816i
\(507\) −3.73850 0.653615i −0.166032 0.0290281i
\(508\) −17.6291 + 0.292898i −0.782165 + 0.0129952i
\(509\) 18.3731 10.6077i 0.814373 0.470179i −0.0340991 0.999418i \(-0.510856\pi\)
0.848472 + 0.529240i \(0.177523\pi\)
\(510\) −0.527249 + 3.17074i −0.0233470 + 0.140403i
\(511\) 7.43586 3.98255i 0.328943 0.176178i
\(512\) −22.5642 + 1.69001i −0.997207 + 0.0746885i
\(513\) 0.115709 + 26.6251i 0.00510866 + 1.17553i
\(514\) −12.7227 21.6196i −0.561174 0.953600i
\(515\) 1.73632 3.00739i 0.0765113 0.132522i
\(516\) 2.58750 16.4014i 0.113908 0.722031i
\(517\) −7.51778 −0.330631
\(518\) 0.760593 32.2470i 0.0334185 1.41685i
\(519\) 28.6352 10.4694i 1.25695 0.459554i
\(520\) 3.09575 1.89172i 0.135758 0.0829572i
\(521\) 5.91179 10.2395i 0.259000 0.448601i −0.706974 0.707239i \(-0.749940\pi\)
0.965974 + 0.258638i \(0.0832737\pi\)
\(522\) 16.5636 + 5.81934i 0.724968 + 0.254705i
\(523\) −3.37960 5.85364i −0.147780 0.255962i 0.782627 0.622491i \(-0.213879\pi\)
−0.930407 + 0.366529i \(0.880546\pi\)
\(524\) 8.63878 5.18083i 0.377387 0.226326i
\(525\) 6.95922 + 21.0972i 0.303725 + 0.920756i
\(526\) 8.92092 + 5.05217i 0.388971 + 0.220285i
\(527\) −12.1162 + 6.99528i −0.527789 + 0.304719i
\(528\) −6.38794 + 8.17228i −0.277999 + 0.355653i
\(529\) 3.40036 5.88960i 0.147842 0.256070i
\(530\) −0.00457614 0.550901i −0.000198775 0.0239296i
\(531\) 3.03948 + 3.60108i 0.131902 + 0.156273i
\(532\) 27.1108 + 0.414166i 1.17540 + 0.0179564i
\(533\) 36.6928 1.58934
\(534\) 4.38421 + 11.6894i 0.189723 + 0.505851i
\(535\) 5.30643 + 3.06367i 0.229417 + 0.132454i
\(536\) 8.76151 + 4.77142i 0.378440 + 0.206094i
\(537\) 18.0446 21.5681i 0.778683 0.930733i
\(538\) 4.20340 + 2.38050i 0.181221 + 0.102631i
\(539\) 10.4588 + 0.667940i 0.450494 + 0.0287702i
\(540\) 4.05366 0.0849721i 0.174442 0.00365662i
\(541\) 15.3128 8.84087i 0.658351 0.380099i −0.133298 0.991076i \(-0.542557\pi\)
0.791648 + 0.610977i \(0.209223\pi\)
\(542\) −5.58715 + 3.28792i −0.239989 + 0.141228i
\(543\) 10.5670 + 1.84747i 0.453473 + 0.0792824i
\(544\) −8.82076 + 16.8580i −0.378187 + 0.722779i
\(545\) 6.82885 0.292516
\(546\) 14.0535 16.0147i 0.601434 0.685366i
\(547\) 1.49834i 0.0640644i 0.999487 + 0.0320322i \(0.0101979\pi\)
−0.999487 + 0.0320322i \(0.989802\pi\)
\(548\) 12.8157 + 7.11797i 0.547461 + 0.304065i
\(549\) −3.61003 20.1322i −0.154072 0.859223i
\(550\) 5.20579 + 8.84617i 0.221976 + 0.377202i
\(551\) −10.6017 18.3627i −0.451647 0.782276i
\(552\) −24.8808 + 9.80622i −1.05900 + 0.417381i
\(553\) −1.26621 0.0403914i −0.0538448 0.00171762i
\(554\) −15.1957 8.60573i −0.645602 0.365622i
\(555\) −3.73813 + 4.46806i −0.158675 + 0.189658i
\(556\) −31.4950 + 0.523272i −1.33569 + 0.0221917i
\(557\) −1.46808 + 2.54278i −0.0622044 + 0.107741i −0.895450 0.445161i \(-0.853146\pi\)
0.833246 + 0.552902i \(0.186480\pi\)
\(558\) 11.4946 + 13.3912i 0.486606 + 0.566893i
\(559\) 15.7586i 0.666518i
\(560\) −0.00552159 4.12895i −0.000233330 0.174480i
\(561\) 2.99491 + 8.19150i 0.126445 + 0.345845i
\(562\) 0.0929850 + 11.1940i 0.00392233 + 0.472192i
\(563\) 14.3950 + 8.31096i 0.606677 + 0.350265i 0.771664 0.636031i \(-0.219425\pi\)
−0.164987 + 0.986296i \(0.552758\pi\)
\(564\) 6.24349 + 16.2353i 0.262898 + 0.683630i
\(565\) 0.0141652 + 0.0245348i 0.000595934 + 0.00103219i
\(566\) −15.8271 + 27.9470i −0.665264 + 1.17470i
\(567\) 22.5806 7.55752i 0.948296 0.317386i
\(568\) −1.01033 40.5357i −0.0423927 1.70084i
\(569\) −19.2204 + 11.0969i −0.805763 + 0.465207i −0.845482 0.534003i \(-0.820687\pi\)
0.0397194 + 0.999211i \(0.487354\pi\)
\(570\) −3.78176 3.11092i −0.158401 0.130302i
\(571\) −5.22532 3.01684i −0.218673 0.126251i 0.386663 0.922221i \(-0.373628\pi\)
−0.605336 + 0.795970i \(0.706961\pi\)
\(572\) 4.77989 8.60608i 0.199857 0.359838i
\(573\) 13.6895 5.00504i 0.571887 0.209089i
\(574\) 21.7267 35.6624i 0.906856 1.48852i
\(575\) 26.4641i 1.10363i
\(576\) 22.9540 + 7.00829i 0.956415 + 0.292012i
\(577\) −17.4549 10.0776i −0.726659 0.419537i 0.0905396 0.995893i \(-0.471141\pi\)
−0.817199 + 0.576356i \(0.804474\pi\)
\(578\) −4.07947 6.93223i −0.169684 0.288343i
\(579\) 14.6114 17.4645i 0.607230 0.725801i
\(580\) −2.76909 + 1.66067i −0.114980 + 0.0689557i
\(581\) −39.2375 24.3539i −1.62784 1.01037i
\(582\) −3.61648 + 21.7486i −0.149908 + 0.901508i
\(583\) −0.747449 1.29462i −0.0309562 0.0536177i
\(584\) −7.91941 4.31282i −0.327707 0.178466i
\(585\) −3.78765 + 0.679185i −0.156600 + 0.0280808i
\(586\) 0.150650 + 18.1361i 0.00622329 + 0.749194i
\(587\) 0.369829i 0.0152645i −0.999971 0.00763224i \(-0.997571\pi\)
0.999971 0.00763224i \(-0.00242944\pi\)
\(588\) −7.24355 23.1415i −0.298719 0.954341i
\(589\) 21.3143i 0.878241i
\(590\) −0.866656 + 0.00719901i −0.0356797 + 0.000296379i
\(591\) −30.0489 5.25356i −1.23605 0.216103i
\(592\) −29.2740 + 18.2241i −1.20315 + 0.749005i
\(593\) −4.89233 8.47376i −0.200904 0.347976i 0.747916 0.663793i \(-0.231055\pi\)
−0.948820 + 0.315818i \(0.897721\pi\)
\(594\) 9.45753 5.62104i 0.388047 0.230634i
\(595\) −2.94981 1.83089i −0.120930 0.0750592i
\(596\) 18.4942 + 30.8382i 0.757553 + 1.26318i
\(597\) 26.4895 + 22.1620i 1.08414 + 0.907032i
\(598\) 21.8749 12.8729i 0.894531 0.526413i
\(599\) −31.2524 18.0436i −1.27694 0.737240i −0.300653 0.953734i \(-0.597205\pi\)
−0.976284 + 0.216494i \(0.930538\pi\)
\(600\) 14.7807 18.5891i 0.603421 0.758896i
\(601\) 9.75944i 0.398096i 0.979990 + 0.199048i \(0.0637849\pi\)
−0.979990 + 0.199048i \(0.936215\pi\)
\(602\) 15.3161 + 9.33106i 0.624236 + 0.380305i
\(603\) −6.82523 8.08629i −0.277945 0.329299i
\(604\) −15.3267 + 27.5954i −0.623634 + 1.12284i
\(605\) 2.95932 + 1.70856i 0.120313 + 0.0694629i
\(606\) 10.1333 + 8.33574i 0.411636 + 0.338616i
\(607\) −7.33740 + 4.23625i −0.297816 + 0.171944i −0.641461 0.767155i \(-0.721672\pi\)
0.343645 + 0.939099i \(0.388338\pi\)
\(608\) −15.5228 24.4792i −0.629532 0.992764i
\(609\) −12.6255 + 14.1486i −0.511611 + 0.573331i
\(610\) 3.27328 + 1.85375i 0.132531 + 0.0750560i
\(611\) −8.25429 14.2968i −0.333933 0.578388i
\(612\) 15.2030 13.2708i 0.614546 0.536440i
\(613\) 10.1968 + 5.88712i 0.411844 + 0.237779i 0.691582 0.722298i \(-0.256914\pi\)
−0.279737 + 0.960077i \(0.590247\pi\)
\(614\) −17.4822 + 0.145219i −0.705525 + 0.00586055i
\(615\) −7.08336 + 2.58976i −0.285629 + 0.104429i
\(616\) −5.53412 9.74153i −0.222976 0.392498i
\(617\) 17.5244i 0.705506i −0.935717 0.352753i \(-0.885246\pi\)
0.935717 0.352753i \(-0.114754\pi\)
\(618\) −20.4138 + 7.65635i −0.821164 + 0.307984i
\(619\) −12.8081 + 22.1843i −0.514801 + 0.891661i 0.485052 + 0.874485i \(0.338801\pi\)
−0.999852 + 0.0171755i \(0.994533\pi\)
\(620\) −3.24533 + 0.0539194i −0.130336 + 0.00216545i
\(621\) 28.3655 0.123272i 1.13827 0.00494674i
\(622\) 1.00469 1.77405i 0.0402844 0.0711328i
\(623\) −13.4780 0.429940i −0.539985 0.0172252i
\(624\) −22.5553 3.17528i −0.902935 0.127113i
\(625\) −11.3700 19.6933i −0.454798 0.787734i
\(626\) 29.3893 17.2950i 1.17463 0.691247i
\(627\) −13.0890 2.28839i −0.522723 0.0913896i
\(628\) 4.91902 8.85659i 0.196290 0.353416i
\(629\) 28.9950i 1.15611i
\(630\) −1.58265 + 4.08344i −0.0630542 + 0.162688i
\(631\) −7.24555 −0.288441 −0.144220 0.989546i \(-0.546067\pi\)
−0.144220 + 0.989546i \(0.546067\pi\)
\(632\) 0.706178 + 1.15564i 0.0280902 + 0.0459691i
\(633\) 4.33003 24.7666i 0.172103 0.984383i
\(634\) 19.3209 + 32.8319i 0.767330 + 1.30392i
\(635\) −2.97867 + 1.71973i −0.118205 + 0.0682456i
\(636\) −2.17509 + 2.68936i −0.0862481 + 0.106640i
\(637\) 10.2132 + 20.6234i 0.404663 + 0.817127i
\(638\) −4.31755 + 7.62377i −0.170933 + 0.301828i
\(639\) −14.5924 + 40.4567i −0.577268 + 1.60044i
\(640\) −3.68795 + 2.42543i −0.145779 + 0.0958737i
\(641\) 11.9401 + 6.89362i 0.471606 + 0.272282i 0.716912 0.697164i \(-0.245555\pi\)
−0.245306 + 0.969446i \(0.578888\pi\)
\(642\) −13.5094 36.0195i −0.533172 1.42157i
\(643\) −20.7470 −0.818184 −0.409092 0.912493i \(-0.634154\pi\)
−0.409092 + 0.912493i \(0.634154\pi\)
\(644\) 0.441240 28.8830i 0.0173873 1.13815i
\(645\) −1.11223 3.04212i −0.0437942 0.119783i
\(646\) −24.3720 + 0.202449i −0.958902 + 0.00796527i
\(647\) −16.1242 + 27.9279i −0.633907 + 1.09796i 0.352838 + 0.935684i \(0.385217\pi\)
−0.986746 + 0.162275i \(0.948117\pi\)
\(648\) −19.9936 15.7561i −0.785423 0.618960i
\(649\) −2.03665 + 1.17586i −0.0799454 + 0.0461565i
\(650\) −11.1073 + 19.6129i −0.435665 + 0.769280i
\(651\) −18.1025 + 5.97139i −0.709493 + 0.234037i
\(652\) 21.5374 12.9164i 0.843471 0.505844i
\(653\) −9.95455 17.2418i −0.389552 0.674723i 0.602838 0.797864i \(-0.294037\pi\)
−0.992389 + 0.123141i \(0.960703\pi\)
\(654\) −33.1105 27.2371i −1.29472 1.06505i
\(655\) 0.982514 1.70176i 0.0383900 0.0664934i
\(656\) −44.6182 + 1.48302i −1.74205 + 0.0579023i
\(657\) 6.16923 + 7.30909i 0.240684 + 0.285155i
\(658\) −18.7829 0.443023i −0.732235 0.0172708i
\(659\) −11.4275 −0.445153 −0.222576 0.974915i \(-0.571447\pi\)
−0.222576 + 0.974915i \(0.571447\pi\)
\(660\) −0.315321 + 1.99872i −0.0122738 + 0.0778002i
\(661\) 2.31268 4.00568i 0.0899529 0.155803i −0.817538 0.575875i \(-0.804662\pi\)
0.907491 + 0.420071i \(0.137995\pi\)
\(662\) −21.5023 + 12.6536i −0.835709 + 0.491798i
\(663\) −12.2898 + 14.6895i −0.477295 + 0.570495i
\(664\) 1.23013 + 49.3543i 0.0477385 + 1.91532i
\(665\) 4.66261 2.49723i 0.180808 0.0968385i
\(666\) 35.9458 6.75429i 1.39287 0.261724i
\(667\) −19.5630 + 11.2947i −0.757483 + 0.437333i
\(668\) 14.8608 0.246905i 0.574983 0.00955303i
\(669\) 0.828955 4.74139i 0.0320493 0.183313i
\(670\) 1.94610 0.0161655i 0.0751842 0.000624529i
\(671\) 10.2073 0.394050
\(672\) −16.4417 + 20.0417i −0.634251 + 0.773127i
\(673\) 19.2606 0.742441 0.371220 0.928545i \(-0.378939\pi\)
0.371220 + 0.928545i \(0.378939\pi\)
\(674\) −15.6118 + 0.129682i −0.601344 + 0.00499516i
\(675\) −21.7601 + 12.6896i −0.837546 + 0.488423i
\(676\) −4.38172 + 0.0727998i −0.168528 + 0.00279999i
\(677\) −36.2236 + 20.9137i −1.39219 + 0.803780i −0.993557 0.113332i \(-0.963848\pi\)
−0.398630 + 0.917112i \(0.630514\pi\)
\(678\) 0.0291762 0.175459i 0.00112051 0.00673844i
\(679\) −20.2332 12.5583i −0.776478 0.481945i
\(680\) 0.0924795 + 3.71038i 0.00354643 + 0.142287i
\(681\) −21.5425 18.0232i −0.825509 0.690649i
\(682\) −7.59049 + 4.46685i −0.290655 + 0.171044i
\(683\) 6.73357 11.6629i 0.257653 0.446268i −0.707960 0.706253i \(-0.750384\pi\)
0.965613 + 0.259985i \(0.0837176\pi\)
\(684\) 5.92835 + 30.1673i 0.226676 + 1.15348i
\(685\) 2.85975 0.109265
\(686\) 26.0917 + 2.28517i 0.996187 + 0.0872481i
\(687\) −12.2697 33.5595i −0.468120 1.28037i
\(688\) −0.636919 19.1623i −0.0242823 0.730557i
\(689\) 1.64135 2.84291i 0.0625305 0.108306i
\(690\) −3.31427 + 4.02897i −0.126172 + 0.153380i
\(691\) −15.2232 26.3674i −0.579118 1.00306i −0.995581 0.0939090i \(-0.970064\pi\)
0.416463 0.909153i \(-0.363270\pi\)
\(692\) 30.1925 18.1069i 1.14774 0.688323i
\(693\) 1.72342 + 11.7577i 0.0654675 + 0.446639i
\(694\) 15.0948 26.6539i 0.572993 1.01177i
\(695\) −5.32149 + 3.07236i −0.201856 + 0.116541i
\(696\) 20.0499 + 2.99263i 0.759991 + 0.113435i
\(697\) −18.7689 + 32.5087i −0.710923 + 1.23135i
\(698\) 9.13734 0.0759007i 0.345853 0.00287288i
\(699\) 3.38979 1.23935i 0.128214 0.0468764i
\(700\) 12.4852 + 22.4087i 0.471896 + 0.846968i
\(701\) −37.2839 −1.40819 −0.704096 0.710105i \(-0.748647\pi\)
−0.704096 + 0.710105i \(0.748647\pi\)
\(702\) 21.0738 + 11.8140i 0.795380 + 0.445892i
\(703\) −38.2552 22.0866i −1.44282 0.833013i
\(704\) −5.46447 + 10.6581i −0.205950 + 0.401693i
\(705\) 2.60251 + 2.17735i 0.0980163 + 0.0820038i
\(706\) 20.8858 36.8793i 0.786047 1.38797i
\(707\) −12.4935 + 6.69137i −0.469867 + 0.251655i
\(708\) 4.23080 + 3.42178i 0.159003 + 0.128598i
\(709\) 39.5076 22.8097i 1.48374 0.856637i 0.483910 0.875118i \(-0.339216\pi\)
0.999829 + 0.0184810i \(0.00588302\pi\)
\(710\) −4.01174 6.81713i −0.150558 0.255842i
\(711\) −0.253540 1.41393i −0.00950848 0.0530265i
\(712\) 7.51680 + 12.3011i 0.281704 + 0.461003i
\(713\) −22.7076 −0.850406
\(714\) 6.99996 + 20.6427i 0.261967 + 0.772533i
\(715\) 1.92039i 0.0718186i
\(716\) 15.7663 28.3868i 0.589214 1.06087i
\(717\) 0.254077 1.45325i 0.00948869 0.0542727i
\(718\) 13.2915 7.82177i 0.496034 0.291906i
\(719\) 8.37315 + 14.5027i 0.312266 + 0.540860i 0.978853 0.204567i \(-0.0655787\pi\)
−0.666587 + 0.745428i \(0.732245\pi\)
\(720\) 4.57830 0.978970i 0.170623 0.0364840i
\(721\) 0.750825 23.5373i 0.0279622 0.876575i
\(722\) 5.05671 8.92895i 0.188191 0.332301i
\(723\) 20.0053 + 16.7371i 0.744003 + 0.622458i
\(724\) 12.3851 0.205771i 0.460288 0.00764743i
\(725\) 10.0301 17.3726i 0.372508 0.645204i
\(726\) −7.53396 20.0875i −0.279612 0.745517i
\(727\) 14.7144i 0.545726i 0.962053 + 0.272863i \(0.0879705\pi\)
−0.962053 + 0.272863i \(0.912029\pi\)
\(728\) 12.4496 21.2204i 0.461411 0.786479i
\(729\) 13.7027 + 23.2645i 0.507508 + 0.861647i
\(730\) −1.75905 + 0.0146118i −0.0651053 + 0.000540807i
\(731\) −13.9616 8.06075i −0.516389 0.298137i
\(732\) −8.47716 22.0437i −0.313325 0.814757i
\(733\) 17.1186 + 29.6503i 0.632290 + 1.09516i 0.987082 + 0.160213i \(0.0512181\pi\)
−0.354793 + 0.934945i \(0.615449\pi\)
\(734\) 3.46074 + 1.95991i 0.127738 + 0.0723417i
\(735\) −3.42720 3.26039i −0.126414 0.120261i
\(736\) −26.0794 + 16.5375i −0.961299 + 0.609580i
\(737\) 4.57334 2.64042i 0.168461 0.0972610i
\(738\) 44.6739 + 15.6954i 1.64447 + 0.577757i
\(739\) −1.92964 1.11408i −0.0709829 0.0409820i 0.464089 0.885789i \(-0.346382\pi\)
−0.535071 + 0.844807i \(0.679715\pi\)
\(740\) −3.26615 + 5.88063i −0.120066 + 0.216176i
\(741\) −10.0194 27.4044i −0.368070 1.00673i
\(742\) −1.79119 3.27861i −0.0657565 0.120362i
\(743\) 14.7964i 0.542829i 0.962463 + 0.271414i \(0.0874914\pi\)
−0.962463 + 0.271414i \(0.912509\pi\)
\(744\) 15.9504 + 12.6827i 0.584772 + 0.464969i
\(745\) 6.07486 + 3.50732i 0.222566 + 0.128498i
\(746\) 37.8961 22.3011i 1.38747 0.816500i
\(747\) 17.7671 49.2582i 0.650063 1.80226i
\(748\) 5.17974 + 8.63696i 0.189390 + 0.315799i
\(749\) 41.5307 + 1.32480i 1.51750 + 0.0484073i
\(750\) 1.54375 9.28373i 0.0563698 0.338994i
\(751\) 18.2439 + 31.5994i 0.665729 + 1.15308i 0.979087 + 0.203442i \(0.0652128\pi\)
−0.313358 + 0.949635i \(0.601454\pi\)
\(752\) 10.6150 + 17.0512i 0.387089 + 0.621795i
\(753\) −3.52055 + 20.1366i −0.128296 + 0.733817i
\(754\) −19.2390 + 0.159811i −0.700641 + 0.00581998i
\(755\) 6.15772i 0.224103i
\(756\) 23.9606 13.4867i 0.871438 0.490505i
\(757\) 19.9557i 0.725302i 0.931925 + 0.362651i \(0.118128\pi\)
−0.931925 + 0.362651i \(0.881872\pi\)
\(758\) −0.207863 25.0236i −0.00754991 0.908899i
\(759\) −2.43798 + 13.9446i −0.0884931 + 0.506156i
\(760\) −4.96581 2.70433i −0.180129 0.0980962i
\(761\) 18.2013 + 31.5257i 0.659798 + 1.14280i 0.980668 + 0.195681i \(0.0626917\pi\)
−0.320869 + 0.947124i \(0.603975\pi\)
\(762\) 21.3016 + 3.54216i 0.771677 + 0.128319i
\(763\) 40.8227 21.8641i 1.47788 0.791533i
\(764\) 14.4340 8.65630i 0.522202 0.313174i
\(765\) 1.33570 3.70315i 0.0482923 0.133888i
\(766\) 25.0972 + 42.6476i 0.906799 + 1.54092i
\(767\) −4.47235 2.58211i −0.161487 0.0932347i
\(768\) 27.5554 + 2.94949i 0.994320 + 0.106431i
\(769\) 33.7570i 1.21731i −0.793436 0.608654i \(-0.791710\pi\)
0.793436 0.608654i \(-0.208290\pi\)
\(770\) −1.86646 1.13711i −0.0672627 0.0409786i
\(771\) 10.5497 + 28.8551i 0.379940 + 1.03919i
\(772\) 12.7666 22.9859i 0.459479 0.827282i