Properties

Label 168.2.ba.c.101.24
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 101.24
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.24

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41416 - 0.0117470i) q^{2} +(-1.11142 - 1.32844i) q^{3} +(1.99972 - 0.0332243i) q^{4} +(-0.337879 + 0.195075i) q^{5} +(-1.58733 - 1.86558i) q^{6} +(1.39526 - 2.24795i) q^{7} +(2.82755 - 0.0704754i) q^{8} +(-0.529502 + 2.95290i) q^{9} +O(q^{10})\) \(q+(1.41416 - 0.0117470i) q^{2} +(-1.11142 - 1.32844i) q^{3} +(1.99972 - 0.0332243i) q^{4} +(-0.337879 + 0.195075i) q^{5} +(-1.58733 - 1.86558i) q^{6} +(1.39526 - 2.24795i) q^{7} +(2.82755 - 0.0704754i) q^{8} +(-0.529502 + 2.95290i) q^{9} +(-0.475526 + 0.279837i) q^{10} +(0.748582 - 1.29658i) q^{11} +(-2.26666 - 2.61959i) 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} +(-0.714115 + 4.18211i) q^{18} +(2.56203 + 4.43756i) q^{19} +(-0.669184 + 0.401321i) q^{20} +(-4.53697 + 0.644892i) q^{21} +(1.04339 - 1.84237i) q^{22} +(-4.72764 + 2.72950i) q^{23} +(-3.23621 - 3.67790i) 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} +(0.900254 + 0.320691i) q^{30} +(-3.60237 - 2.07983i) q^{31} +(5.65198 - 0.234875i) q^{32} +(-2.55442 + 0.446598i) q^{33} +(-2.34398 + 4.13891i) q^{34} +(-0.0329110 + 1.03171i) q^{35} +(-0.960750 + 5.92258i) q^{36} +(-7.46581 + 4.31038i) q^{37} +(3.67525 + 6.24534i) q^{38} +(3.65399 + 4.36748i) q^{39} +(-0.941622 + 0.575396i) q^{40} +11.1607 q^{41} +(-6.40845 + 0.965280i) q^{42} -4.79323i q^{43} +(1.45388 - 2.61768i) q^{44} +(-0.397129 - 1.10102i) q^{45} +(-6.65359 + 3.91550i) q^{46} +(-2.51067 - 4.34861i) q^{47} +(-4.61974 - 5.16314i) q^{48} +(-3.10652 - 6.27292i) q^{49} +(-3.37846 + 5.96557i) q^{50} +(5.73852 - 1.00329i) q^{51} +(-6.57445 + 0.109231i) q^{52} +(0.499243 - 0.864715i) q^{53} +(6.34936 - 3.69941i) 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} +(1.27687 + 0.442935i) q^{60} +(-3.40889 - 5.90437i) q^{61} +(-5.11878 - 2.89891i) q^{62} +(5.89917 + 5.31035i) q^{63} +(7.99007 - 0.398545i) q^{64} +(1.11084 - 0.641343i) q^{65} +(-3.60712 + 0.661570i) 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} +(-1.28909 + 8.38679i) q^{72} +(2.76107 + 1.59410i) q^{73} +(-10.5072 + 6.18329i) q^{74} +(8.27115 - 1.44608i) q^{75} +(5.27078 + 8.78877i) q^{76} +(-1.87018 - 3.49184i) q^{77} +(5.21864 + 6.13342i) q^{78} +(-0.239413 - 0.414676i) q^{79} +(-1.32485 + 0.824765i) q^{80} +(-8.43926 - 3.12713i) q^{81} +(15.7831 - 0.131105i) q^{82} +17.4548i q^{83} +(-9.05127 + 1.44034i) q^{84} -1.31222i q^{85} +(-0.0563059 - 6.77842i) q^{86} +(-4.59906 - 5.49710i) q^{87} +(2.02527 - 3.71891i) q^{88} +(2.54840 + 4.41396i) q^{89} +(-0.574539 - 1.55235i) q^{90} +(-4.58716 + 7.39053i) q^{91} +(-9.36328 + 5.61532i) q^{92} +(1.24081 + 7.09709i) q^{93} +(-3.60159 - 6.12016i) q^{94} +(-1.73131 - 0.999573i) q^{95} +(-6.59372 - 7.24726i) 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
\(3\) −1.11142 1.32844i −0.641677 0.766975i
\(4\) 1.99972 0.0332243i 0.999862 0.0166122i
\(5\) −0.337879 + 0.195075i −0.151104 + 0.0872401i −0.573646 0.819103i \(-0.694471\pi\)
0.422542 + 0.906344i \(0.361138\pi\)
\(6\) −1.58733 1.86558i −0.648026 0.761618i
\(7\) 1.39526 2.24795i 0.527357 0.849644i
\(8\) 2.82755 0.0704754i 0.999690 0.0249168i
\(9\) −0.529502 + 2.95290i −0.176501 + 0.984301i
\(10\) −0.475526 + 0.279837i −0.150374 + 0.0884922i
\(11\) 0.748582 1.29658i 0.225706 0.390934i −0.730825 0.682565i \(-0.760864\pi\)
0.956531 + 0.291631i \(0.0941978\pi\)
\(12\) −2.26666 2.61959i −0.654330 0.756209i
\(13\) −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 −0.994651 0.103293i \(-0.967062\pi\)
0.586780 + 0.809746i \(0.300395\pi\)
\(18\) −0.714115 + 4.18211i −0.168319 + 0.985733i
\(19\) 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
\(21\) −4.53697 + 0.644892i −0.990048 + 0.140727i
\(22\) 1.04339 1.84237i 0.222451 0.392795i
\(23\) −4.72764 + 2.72950i −0.985780 + 0.569141i −0.904010 0.427511i \(-0.859391\pi\)
−0.0817700 + 0.996651i \(0.526057\pi\)
\(24\) −3.23621 3.67790i −0.660589 0.750748i
\(25\) −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 \(-0.374476\pi\)
0.384205 + 0.923248i \(0.374476\pi\)
\(30\) 0.900254 + 0.320691i 0.164363 + 0.0585499i
\(31\) −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
\(33\) −2.55442 + 0.446598i −0.444667 + 0.0777428i
\(34\) −2.34398 + 4.13891i −0.401989 + 0.709816i
\(35\) −0.0329110 + 1.03171i −0.00556298 + 0.174391i
\(36\) −0.960750 + 5.92258i −0.160125 + 0.987097i
\(37\) −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
\(39\) 3.65399 + 4.36748i 0.585106 + 0.699357i
\(40\) −0.941622 + 0.575396i −0.148884 + 0.0909780i
\(41\) 11.1607 1.74301 0.871505 0.490387i \(-0.163145\pi\)
0.871505 + 0.490387i \(0.163145\pi\)
\(42\) −6.40845 + 0.965280i −0.988845 + 0.148946i
\(43\) 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
\(45\) −0.397129 1.10102i −0.0592005 0.164130i
\(46\) −6.65359 + 3.91550i −0.981019 + 0.577309i
\(47\) −2.51067 4.34861i −0.366219 0.634310i 0.622752 0.782419i \(-0.286015\pi\)
−0.988971 + 0.148109i \(0.952681\pi\)
\(48\) −4.61974 5.16314i −0.666802 0.745235i
\(49\) −3.10652 6.27292i −0.443788 0.896132i
\(50\) −3.37846 + 5.96557i −0.477787 + 0.843658i
\(51\) 5.73852 1.00329i 0.803553 0.140488i
\(52\) −6.57445 + 0.109231i −0.911712 + 0.0151476i
\(53\) 0.499243 0.864715i 0.0685763 0.118778i −0.829699 0.558212i \(-0.811488\pi\)
0.898275 + 0.439434i \(0.144821\pi\)
\(54\) 6.34936 3.69941i 0.864038 0.503426i
\(55\) 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 0.408829 0.912611i \(-0.365937\pi\)
−0.585930 + 0.810362i \(0.699271\pi\)
\(60\) 1.27687 + 0.442935i 0.164844 + 0.0571827i
\(61\) −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
\(63\) 5.89917 + 5.31035i 0.743226 + 0.669041i
\(64\) 7.99007 0.398545i 0.998758 0.0498181i
\(65\) 1.11084 0.641343i 0.137783 0.0795488i
\(66\) −3.60712 + 0.661570i −0.444006 + 0.0814337i
\(67\) −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 \(-0.676188\pi\)
0.525677 0.850684i \(-0.323812\pi\)
\(72\) −1.28909 + 8.38679i −0.151920 + 0.988393i
\(73\) 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
\(75\) 8.27115 1.44608i 0.955070 0.166978i
\(76\) 5.27078 + 8.78877i 0.604600 + 1.00814i
\(77\) −1.87018 3.49184i −0.213127 0.397932i
\(78\) 5.21864 + 6.13342i 0.590895 + 0.694473i
\(79\) −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
\(81\) −8.43926 3.12713i −0.937695 0.347459i
\(82\) 15.7831 0.131105i 1.74295 0.0144781i
\(83\) 17.4548i 1.91591i 0.286911 + 0.957957i \(0.407372\pi\)
−0.286911 + 0.957957i \(0.592628\pi\)
\(84\) −9.05127 + 1.44034i −0.987574 + 0.157154i
\(85\) 1.31222i 0.142331i
\(86\) −0.0563059 6.77842i −0.00607163 0.730935i
\(87\) −4.59906 5.49710i −0.493071 0.589351i
\(88\) 2.02527 3.71891i 0.215895 0.396437i
\(89\) 2.54840 + 4.41396i 0.270130 + 0.467879i 0.968895 0.247473i \(-0.0796000\pi\)
−0.698765 + 0.715351i \(0.746267\pi\)
\(90\) −0.574539 1.55235i −0.0605617 0.163633i
\(91\) −4.58716 + 7.39053i −0.480865 + 0.774738i
\(92\) −9.36328 + 5.61532i −0.976190 + 0.585438i
\(93\) 1.24081 + 7.09709i 0.128666 + 0.735934i
\(94\) −3.60159 6.12016i −0.371475 0.631246i
\(95\) −1.73131 0.999573i −0.177629 0.102554i
\(96\) −6.59372 7.24726i −0.672969 0.739671i
\(97\) 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 0.712719 0.701450i \(-0.247464\pi\)
−0.251114 + 0.967958i \(0.580797\pi\)
\(102\) 8.10342 1.48622i 0.802358 0.147158i
\(103\) 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
\(105\) 1.40715 1.10294i 0.137323 0.107636i
\(106\) 0.695854 1.22871i 0.0675874 0.119343i
\(107\) −7.85256 13.6010i −0.759135 1.31486i −0.943292 0.331964i \(-0.892289\pi\)
0.184157 0.982897i \(-0.441045\pi\)
\(108\) 8.93558 5.30616i 0.859827 0.510586i
\(109\) 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 \(-0.998913\pi\)
0.999994 0.00341549i \(-0.00108718\pi\)
\(114\) 4.21182 11.8235i 0.394473 1.10738i
\(115\) 1.06491 1.84448i 0.0993037 0.171999i
\(116\) 8.27488 0.137483i 0.768304 0.0127649i
\(117\) 1.74083 9.70819i 0.160940 0.897523i
\(118\) −1.93297 1.09469i −0.177944 0.100775i
\(119\) 4.20138 + 7.84443i 0.385139 + 0.719098i
\(120\) 1.81091 + 0.611384i 0.165313 + 0.0558114i
\(121\) 4.37925 + 7.58508i 0.398114 + 0.689553i
\(122\) −4.89009 8.30971i −0.442728 0.752326i
\(123\) −12.4042 14.8263i −1.11845 1.33684i
\(124\) −7.27285 4.03940i −0.653121 0.362749i
\(125\) 3.84211i 0.343649i
\(126\) 8.40478 + 7.44041i 0.748757 + 0.662844i
\(127\) −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
\(129\) −6.36751 + 5.32728i −0.560628 + 0.469041i
\(130\) 1.56338 0.920014i 0.137117 0.0806906i
\(131\) −4.36183 + 2.51830i −0.381095 + 0.220025i −0.678294 0.734790i \(-0.737281\pi\)
0.297200 + 0.954815i \(0.403947\pi\)
\(132\) −5.09329 + 0.977942i −0.443314 + 0.0851189i
\(133\) 13.5501 + 0.432239i 1.17494 + 0.0374799i
\(134\) −4.34052 2.45816i −0.374964 0.212352i
\(135\) −1.02126 + 1.75125i −0.0878959 + 0.150724i
\(136\) −4.54979 + 8.35455i −0.390142 + 0.716396i
\(137\) −6.34787 3.66494i −0.542335 0.313117i 0.203690 0.979035i \(-0.434707\pi\)
−0.746025 + 0.665918i \(0.768040\pi\)
\(138\) 12.5964 + 4.48714i 1.07228 + 0.381971i
\(139\) −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
\(144\) −1.72446 + 11.8754i −0.143705 + 0.989621i
\(145\) −1.39815 + 0.807222i −0.116110 + 0.0670361i
\(146\) 3.92333 + 2.22189i 0.324697 + 0.183885i
\(147\) −4.88056 + 11.0987i −0.402542 + 0.915402i
\(148\) −14.7863 + 8.86763i −1.21543 + 0.728914i
\(149\) −8.98969 15.5706i −0.736464 1.27559i −0.954078 0.299559i \(-0.903161\pi\)
0.217613 0.976035i \(-0.430173\pi\)
\(150\) 11.6798 2.14215i 0.953650 0.174906i
\(151\) −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
\(156\) 7.45207 + 8.61236i 0.596643 + 0.689541i
\(157\) 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
\(159\) −1.70359 + 0.297845i −0.135103 + 0.0236206i
\(160\) −1.86387 + 1.18192i −0.147352 + 0.0934387i
\(161\) −0.460494 + 14.4358i −0.0362920 + 1.13770i
\(162\) −11.9712 4.32315i −0.940549 0.339659i
\(163\) 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
\(165\) 0.775965 0.649199i 0.0604088 0.0505400i
\(166\) 0.205041 + 24.6840i 0.0159143 + 1.91585i
\(167\) −7.43145 −0.575063 −0.287531 0.957771i \(-0.592835\pi\)
−0.287531 + 0.957771i \(0.592835\pi\)
\(168\) −12.7831 + 2.14321i −0.986235 + 0.165352i
\(169\) −2.19116 −0.168551
\(170\) −0.0154147 1.85570i −0.00118225 0.142326i
\(171\) −14.4603 + 5.21571i −1.10580 + 0.398856i
\(172\) −0.159252 9.58514i −0.0121428 0.730860i
\(173\) −15.2445 + 8.80144i −1.15902 + 0.669161i −0.951069 0.308978i \(-0.900013\pi\)
−0.207952 + 0.978139i \(0.566680\pi\)
\(174\) −6.56840 7.71978i −0.497949 0.585235i
\(175\) 6.05561 + 11.3065i 0.457761 + 0.854690i
\(176\) 2.82039 5.28294i 0.212595 0.398216i
\(177\) 0.468558 + 2.68002i 0.0352190 + 0.201443i
\(178\) 3.65571 + 6.21213i 0.274007 + 0.465619i
\(179\) −8.11784 + 14.0605i −0.606756 + 1.05093i 0.385016 + 0.922910i \(0.374196\pi\)
−0.991771 + 0.128022i \(0.959137\pi\)
\(180\) −0.830728 2.18854i −0.0619188 0.163124i
\(181\) 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
\(186\) 1.83808 + 10.0219i 0.134775 + 0.734840i
\(187\) 2.51777 + 4.36091i 0.184118 + 0.318901i
\(188\) −5.16513 8.61261i −0.376706 0.628139i
\(189\) 0.498031 13.7387i 0.0362264 0.999344i
\(190\) −2.46010 1.39322i −0.178475 0.101075i
\(191\) −7.28788 + 4.20766i −0.527333 + 0.304456i −0.739930 0.672684i \(-0.765141\pi\)
0.212597 + 0.977140i \(0.431808\pi\)
\(192\) −9.40974 10.1714i −0.679090 0.734055i
\(193\) 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 \(-0.284120\pi\)
0.627398 + 0.778699i \(0.284120\pi\)
\(198\) 4.88787 + 4.05656i 0.347366 + 0.288287i
\(199\) 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
\(201\) 1.05216 + 6.01805i 0.0742135 + 0.424480i
\(202\) 6.59187 + 3.73316i 0.463803 + 0.262664i
\(203\) 5.77359 9.30203i 0.405227 0.652874i
\(204\) 11.4421 2.19695i 0.801108 0.153818i
\(205\) −3.77097 + 2.17717i −0.263376 + 0.152060i
\(206\) 10.8485 6.38414i 0.755853 0.444804i
\(207\) −5.55666 15.4055i −0.386214 1.07076i
\(208\) −13.1435 + 0.436863i −0.911335 + 0.0302910i
\(209\) 7.67154 0.530652
\(210\) 1.97698 1.57627i 0.136425 0.108773i
\(211\) 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
\(213\) −19.0445 + 15.9333i −1.30491 + 1.09173i
\(214\) −11.2646 19.1419i −0.770031 1.30851i
\(215\) 0.935038 + 1.61953i 0.0637691 + 0.110451i
\(216\) 12.5741 7.60875i 0.855556 0.517710i
\(217\) −9.70158 + 5.19604i −0.658586 + 0.352730i
\(218\) 21.5390 + 12.1981i 1.45880 + 0.826161i
\(219\) −0.951031 5.43963i −0.0642647 0.367576i
\(220\) 0.0194069 + 1.16807i 0.00130841 + 0.0787515i
\(221\) 5.52887 9.57629i 0.371912 0.644171i
\(222\) 19.8921 + 7.08601i 1.33507 + 0.475582i
\(223\) 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 0.887481 0.460844i \(-0.152453\pi\)
0.0446379 + 0.999003i \(0.485787\pi\)
\(228\) 5.81731 16.7699i 0.385261 1.11061i
\(229\) −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
\(231\) −2.56014 + 6.36531i −0.168445 + 0.418807i
\(232\) 11.7004 0.291628i 0.768171 0.0191463i
\(233\) −1.80462 + 1.04190i −0.118225 + 0.0682572i −0.557946 0.829877i \(-0.688411\pi\)
0.439721 + 0.898134i \(0.355077\pi\)
\(234\) 2.34778 13.7494i 0.153479 0.898829i
\(235\) 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 \(0.00876990\pi\)
−0.999620 + 0.0275480i \(0.991230\pi\)
\(240\) 2.56811 + 0.843324i 0.165771 + 0.0544364i
\(241\) 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
\(243\) 5.22533 + 14.6866i 0.335205 + 0.942145i
\(244\) −7.01301 11.6939i −0.448962 0.748622i
\(245\) 2.27332 + 1.51349i 0.145237 + 0.0966932i
\(246\) −17.7158 20.8211i −1.12952 1.32751i
\(247\) −8.42312 14.5893i −0.535950 0.928293i
\(248\) −10.3325 5.62694i −0.656112 0.357311i
\(249\) 23.1877 19.3996i 1.46946 1.22940i
\(250\) −0.0451331 5.43337i −0.00285447 0.343637i
\(251\) 11.8022i 0.744948i −0.928043 0.372474i \(-0.878510\pi\)
0.928043 0.372474i \(-0.121490\pi\)
\(252\) 11.9731 + 10.4232i 0.754237 + 0.656602i
\(253\) 8.17302i 0.513834i
\(254\) −12.4670 + 0.103559i −0.782246 + 0.00649785i
\(255\) −1.74321 + 1.45843i −0.109164 + 0.0913304i
\(256\) 15.9647 1.06244i 0.997793 0.0664028i
\(257\) −8.86901 15.3616i −0.553233 0.958228i −0.998039 0.0626011i \(-0.980060\pi\)
0.444805 0.895627i \(-0.353273\pi\)
\(258\) −8.94213 + 7.60845i −0.556713 + 0.473681i
\(259\) −0.727204 + 22.7968i −0.0451863 + 1.41653i
\(260\) 2.20006 1.31942i 0.136442 0.0818267i
\(261\) −2.19109 + 12.2191i −0.135625 + 0.756346i
\(262\) −6.13876 + 3.61253i −0.379254 + 0.223183i
\(263\) 6.27815 + 3.62469i 0.387128 + 0.223508i 0.680915 0.732363i \(-0.261582\pi\)
−0.293787 + 0.955871i \(0.594916\pi\)
\(264\) −7.19127 + 1.44280i −0.442592 + 0.0887983i
\(265\) 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 0.587463 0.809251i \(-0.300127\pi\)
−0.407100 + 0.913383i \(0.633460\pi\)
\(270\) −1.42366 + 2.48855i −0.0866409 + 0.151449i
\(271\) 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
\(273\) 14.9161 2.12020i 0.902764 0.128320i
\(274\) −9.01998 5.10826i −0.544917 0.308601i
\(275\) 3.62896 + 6.28555i 0.218835 + 0.379033i
\(276\) 17.8661 + 6.19758i 1.07541 + 0.373051i
\(277\) 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 \(0.0758706\pi\)
−0.971728 + 0.236104i \(0.924129\pi\)
\(282\) −4.12740 + 11.5865i −0.245783 + 0.689969i
\(283\) 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
\(285\) 0.596338 + 3.41089i 0.0353240 + 0.202043i
\(286\) −3.43032 + 6.05714i −0.202839 + 0.358166i
\(287\) 15.5720 25.0887i 0.919189 1.48094i
\(288\) −2.29917 + 16.8141i −0.135480 + 0.990780i
\(289\) 2.84381 + 4.92562i 0.167283 + 0.289742i
\(290\) −1.96773 + 1.15797i −0.115549 + 0.0679983i
\(291\) −11.9569 + 10.0036i −0.700928 + 0.586420i
\(292\) 5.57434 + 3.09603i 0.326214 + 0.181182i
\(293\) 12.8246i 0.749220i 0.927183 + 0.374610i \(0.122223\pi\)
−0.927183 + 0.374610i \(0.877777\pi\)
\(294\) −6.77154 + 15.7527i −0.394924 + 0.918714i
\(295\) 0.612840 0.0356809
\(296\) −20.8062 + 12.7140i −1.20933 + 0.738985i
\(297\) 0.0338081 7.77942i 0.00196175 0.451408i
\(298\) −12.8958 21.9138i −0.747035 1.26943i
\(299\) 15.5430 8.97373i 0.898872 0.518964i
\(300\) 16.4920 3.16655i 0.952164 0.182821i
\(301\) −10.7749 6.68778i −0.621056 0.385477i
\(302\) −10.9993 + 19.4222i −0.632939 + 1.11762i
\(303\) −1.59789 9.13951i −0.0917966 0.525051i
\(304\) 10.8321 + 17.4000i 0.621264 + 0.997958i
\(305\) 2.30359 + 1.32998i 0.131903 + 0.0761542i
\(306\) −10.9806 9.11309i −0.627721 0.520961i
\(307\) 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 −0.844865 0.534980i \(-0.820319\pi\)
0.885739 + 0.464184i \(0.153652\pi\)
\(312\) 10.6396 + 12.0918i 0.602350 + 0.684561i
\(313\) −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
\(315\) −3.02912 0.643477i −0.170672 0.0362558i
\(316\) −0.492538 0.821284i −0.0277074 0.0462008i
\(317\) 13.4686 + 23.3283i 0.756472 + 1.31025i 0.944639 + 0.328111i \(0.106412\pi\)
−0.188167 + 0.982137i \(0.560255\pi\)
\(318\) −2.40566 + 0.441214i −0.134903 + 0.0247420i
\(319\) 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
\(324\) −16.9801 5.97302i −0.943338 0.331834i
\(325\) 7.96898 13.8027i 0.442039 0.765635i
\(326\) 15.3046 9.00644i 0.847643 0.498820i
\(327\) −5.22113 29.8634i −0.288729 1.65145i
\(328\) 31.5574 0.786555i 1.74247 0.0434302i
\(329\) −13.2785 0.423575i −0.732066 0.0233524i
\(330\) 1.08972 0.927189i 0.0599869 0.0510401i
\(331\) 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
\(333\) −8.77498 24.3281i −0.480866 1.33317i
\(334\) −10.5093 + 0.0872970i −0.575043 + 0.00477668i
\(335\) 1.37615 0.0751868
\(336\) −18.0522 + 3.18101i −0.984827 + 0.173539i
\(337\) 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
\(339\) −0.0964636 + 0.0807047i −0.00523918 + 0.00438328i
\(340\) −0.0435978 2.62409i −0.00236442 0.142311i
\(341\) −5.39334 + 3.11385i −0.292066 + 0.168624i
\(342\) −20.3879 + 7.54574i −1.10245 + 0.408027i
\(343\) −18.4356 1.76905i −0.995428 0.0955198i
\(344\) −0.337805 13.5531i −0.0182132 0.730734i
\(345\) −3.63385 + 0.635319i −0.195640 + 0.0342045i
\(346\) −21.4549 + 12.6258i −1.15342 + 0.678765i
\(347\) 10.8299 18.7579i 0.581377 1.00697i −0.413940 0.910304i \(-0.635848\pi\)
0.995316 0.0966701i \(-0.0308192\pi\)
\(348\) −9.37949 10.8399i −0.502793 0.581079i
\(349\) −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 \(-0.539463\pi\)
0.921208 0.389071i \(-0.127204\pi\)
\(354\) 0.694101 + 3.78449i 0.0368910 + 0.201143i
\(355\) 2.79659 + 4.84383i 0.148428 + 0.257084i
\(356\) 5.24275 + 8.74203i 0.277865 + 0.463327i
\(357\) 5.75137 14.2997i 0.304395 0.756821i
\(358\) −11.3148 + 19.9792i −0.598005 + 1.05594i
\(359\) 9.44412 5.45257i 0.498442 0.287775i −0.229628 0.973278i \(-0.573751\pi\)
0.728070 + 0.685503i \(0.240418\pi\)
\(360\) −1.20050 3.08519i −0.0632717 0.162604i
\(361\) −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
\(366\) −5.60401 + 15.7317i −0.292926 + 0.822312i
\(367\) −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
\(369\) −5.90961 + 32.9565i −0.307642 + 1.71564i
\(370\) 2.34398 4.13891i 0.121858 0.215171i
\(371\) −1.24726 2.32877i −0.0647545 0.120904i
\(372\) 2.71708 + 14.1510i 0.140874 + 0.733695i
\(373\) −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
\(375\) −5.10401 + 4.27019i −0.263570 + 0.220511i
\(376\) −7.40552 12.1190i −0.381911 0.624988i
\(377\) −13.6045 −0.700665
\(378\) 0.542910 19.4346i 0.0279243 0.999610i
\(379\) 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
\(381\) 9.79800 + 11.7112i 0.501967 + 0.599984i
\(382\) −10.2568 + 6.03594i −0.524786 + 0.308825i
\(383\) 17.4953 + 30.3028i 0.893968 + 1.54840i 0.835076 + 0.550134i \(0.185423\pi\)
0.0588917 + 0.998264i \(0.481243\pi\)
\(384\) −13.4264 14.2735i −0.685164 0.728389i
\(385\) 1.31306 + 0.814994i 0.0669200 + 0.0415359i
\(386\) 9.16202 16.1780i 0.466335 0.823436i
\(387\) 14.1539 + 2.53802i 0.719485 + 0.129015i
\(388\) −0.299044 17.9990i −0.0151816 0.913761i
\(389\) −10.4422 + 18.0864i −0.529439 + 0.917015i 0.469971 + 0.882682i \(0.344264\pi\)
−0.999410 + 0.0343338i \(0.989069\pi\)
\(390\) −2.95975 1.05433i −0.149873 0.0533881i
\(391\) 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
\(396\) 6.95991 + 5.67923i 0.349749 + 0.285392i
\(397\) −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
\(399\) −14.4856 18.4808i −0.725186 0.925200i
\(400\) −9.13235 + 17.1060i −0.456617 + 0.855301i
\(401\) 6.62355 3.82411i 0.330764 0.190967i −0.325416 0.945571i \(-0.605504\pi\)
0.656180 + 0.754604i \(0.272171\pi\)
\(402\) 1.55862 + 8.49815i 0.0777368 + 0.423849i
\(403\) 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
\(408\) 16.1552 3.24126i 0.799803 0.160467i
\(409\) −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
\(411\) 2.18648 + 12.5060i 0.107851 + 0.616877i
\(412\) 15.2666 9.15566i 0.752133 0.451067i
\(413\) −3.66354 + 1.96214i −0.180271 + 0.0965507i
\(414\) −8.03900 21.7207i −0.395095 1.06751i
\(415\) −3.40499 5.89762i −0.167145 0.289503i
\(416\) −18.5819 + 0.772193i −0.911052 + 0.0378599i
\(417\) 17.5045 + 20.9225i 0.857197 + 1.02458i
\(418\) 10.8488 0.0901174i 0.530634 0.00440779i
\(419\) 4.38235i 0.214092i 0.994254 + 0.107046i \(0.0341392\pi\)
−0.994254 + 0.107046i \(0.965861\pi\)
\(420\) 2.77726 2.25234i 0.135516 0.109903i
\(421\) 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
\(423\) 14.1704 5.11117i 0.688990 0.248514i
\(424\) 1.35069 2.48021i 0.0655955 0.120450i
\(425\) −8.15249 14.1205i −0.395454 0.684946i
\(426\) −26.7449 + 22.7560i −1.29579 + 1.10253i
\(427\) −18.0290 0.575113i −0.872484 0.0278317i
\(428\) −16.1548 26.9374i −0.780873 1.30207i
\(429\) 8.39811 1.46827i 0.405464 0.0708888i
\(430\) 1.34132 + 2.27930i 0.0646843 + 0.109918i
\(431\) −0.588922 0.340014i −0.0283674 0.0163779i 0.485749 0.874098i \(-0.338547\pi\)
−0.514117 + 0.857720i \(0.671880\pi\)
\(432\) 17.6924 10.9077i 0.851226 0.524799i
\(433\) 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
\(438\) −1.40881 7.68136i −0.0673157 0.367030i
\(439\) 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
\(441\) 20.1682 5.85172i 0.960392 0.278653i
\(442\) 7.70624 13.6074i 0.366549 0.647238i
\(443\) −3.02001 5.23080i −0.143485 0.248523i 0.785322 0.619088i \(-0.212497\pi\)
−0.928807 + 0.370565i \(0.879164\pi\)
\(444\) 28.2139 + 9.78712i 1.33897 + 0.464476i
\(445\) −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 \(0.231226\pi\)
−0.747558 + 0.664197i \(0.768774\pi\)
\(450\) −15.8268 13.1351i −0.746084 0.619192i
\(451\) 8.35470 14.4708i 0.393408 0.681402i
\(452\) −0.00241256 0.145208i −0.000113477 0.00683003i
\(453\) 26.9285 4.70801i 1.26521 0.221201i
\(454\) 19.9555 + 11.3013i 0.936557 + 0.530398i
\(455\) 0.108201 3.39194i 0.00507254 0.159017i
\(456\) 8.02964 23.7837i 0.376022 1.11378i
\(457\) −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
\(459\) −0.0759502 + 17.4765i −0.00354505 + 0.815734i
\(460\) 2.06825 3.72384i 0.0964327 0.173625i
\(461\) 31.6209i 1.47273i −0.676583 0.736367i \(-0.736540\pi\)
0.676583 0.736367i \(-0.263460\pi\)
\(462\) −3.54569 + 9.03167i −0.164960 + 0.420191i
\(463\) 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
\(465\) −1.80371 2.15591i −0.0836449 0.0999779i
\(466\) −2.53980 + 1.49462i −0.117654 + 0.0692368i
\(467\) 12.7642 7.36942i 0.590657 0.341016i −0.174700 0.984622i \(-0.555896\pi\)
0.765357 + 0.643606i \(0.222562\pi\)
\(468\) 3.15864 19.4715i 0.146008 0.900073i
\(469\) −8.22655 + 4.40603i −0.379867 + 0.203452i
\(470\) 2.41079 + 1.36530i 0.111201 + 0.0629765i
\(471\) −8.64256 + 1.51101i −0.398228 + 0.0696237i
\(472\) −3.90177 2.12486i −0.179594 0.0978047i
\(473\) −6.21481 3.58812i −0.285757 0.164982i
\(474\) −0.393581 + 1.10487i −0.0180778 + 0.0507485i
\(475\) −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 \(0.456903\pi\)
−0.925589 + 0.378529i \(0.876430\pi\)
\(480\) 3.64164 + 1.16243i 0.166217 + 0.0530575i
\(481\) 24.5452 14.1712i 1.11916 0.646150i
\(482\) 18.5315 + 10.4949i 0.844087 + 0.478030i
\(483\) 19.6889 15.4325i 0.895877 0.702203i
\(484\) 9.00930 + 15.0226i 0.409514 + 0.682844i
\(485\) 1.75582 + 3.04117i 0.0797276 + 0.138092i
\(486\) 7.56200 + 20.7079i 0.343019 + 0.939328i
\(487\) −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 \(-0.612744\pi\)
−0.346837 + 0.937925i \(0.612744\pi\)
\(492\) −25.2976 29.2364i −1.14050 1.31808i
\(493\) −6.95887 + 12.0531i −0.313412 + 0.542845i
\(494\) −12.0831 20.5327i −0.543643 0.923809i
\(495\) −1.72484 0.309291i −0.0775259 0.0139016i
\(496\) −14.6779 7.83605i −0.659057 0.351849i
\(497\) −32.2265 20.0024i −1.44556 0.897229i
\(498\) 32.5633 27.7066i 1.45920 1.24156i
\(499\) −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
\(501\) 8.25944 + 9.87223i 0.369005 + 0.441059i
\(502\) −0.138640 16.6902i −0.00618781 0.744922i
\(503\) −28.3616 −1.26458 −0.632291 0.774731i \(-0.717885\pi\)
−0.632291 + 0.774731i \(0.717885\pi\)
\(504\) 17.0544 + 14.5995i 0.759665 + 0.650314i
\(505\) −2.08993 −0.0930006
\(506\) 0.0960083 + 11.5580i 0.00426809 + 0.513816i
\(507\) 2.43530 + 2.91083i 0.108155 + 0.129274i
\(508\) −17.6291 + 0.292898i −0.782165 + 0.0129952i
\(509\) −18.3731 + 10.6077i −0.814373 + 0.470179i −0.848472 0.529240i \(-0.822477\pi\)
0.0340991 + 0.999418i \(0.489144\pi\)
\(510\) −2.44805 + 2.08294i −0.108402 + 0.0922340i
\(511\) 7.43586 3.98255i 0.328943 0.176178i
\(512\) 22.5642 1.69001i 0.997207 0.0746885i
\(513\) 23.0002 + 13.4128i 1.01548 + 0.592188i
\(514\) −12.7227 21.6196i −0.561174 0.953600i
\(515\) −1.73632 + 3.00739i −0.0765113 + 0.132522i
\(516\) −12.5563 + 10.8646i −0.552759 + 0.478289i
\(517\) −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 −0.965974 0.258638i \(-0.916726\pi\)
0.706974 + 0.707239i \(0.250060\pi\)
\(522\) −2.95502 + 17.3056i −0.129338 + 0.757447i
\(523\) −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
\(525\) 8.28967 20.6107i 0.361791 0.899526i
\(526\) 8.92092 + 5.05217i 0.388971 + 0.220285i
\(527\) 12.1162 6.99528i 0.527789 0.304719i
\(528\) −10.1527 + 2.12484i −0.441839 + 0.0924716i
\(529\) 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
\(534\) 4.18942 11.7607i 0.181294 0.508933i
\(535\) 5.30643 + 3.06367i 0.229417 + 0.132454i
\(536\) −8.76151 4.77142i −0.378440 0.206094i
\(537\) 27.7008 4.84304i 1.19538 0.208993i
\(538\) 4.20340 + 2.38050i 0.181221 + 0.102631i
\(539\) −10.4588 0.667940i −0.450494 0.0287702i
\(540\) −1.98405 + 3.53595i −0.0853799 + 0.152163i
\(541\) 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
\(543\) −6.88345 8.22755i −0.295397 0.353078i
\(544\) −8.82076 + 16.8580i −0.378187 + 0.722779i
\(545\) −6.82885 −0.292516
\(546\) 21.0689 3.17353i 0.901667 0.135815i
\(547\) 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
\(549\) 19.2400 6.93974i 0.821145 0.296181i
\(550\) 5.20579 + 8.84617i 0.221976 + 0.377202i
\(551\) 10.6017 + 18.3627i 0.451647 + 0.782276i
\(552\) 25.3385 + 8.55453i 1.07848 + 0.364105i
\(553\) −1.26621 0.0403914i −0.0538448 0.00171762i
\(554\) 15.1957 + 8.60573i 0.645602 + 0.365622i
\(555\) −5.73852 + 1.00329i −0.243586 + 0.0425871i
\(556\) −31.4950 + 0.523272i −1.33569 + 0.0221917i
\(557\) 1.46808 2.54278i 0.0622044 0.107741i −0.833246 0.552902i \(-0.813520\pi\)
0.895450 + 0.445161i \(0.146854\pi\)
\(558\) 11.2706 13.5803i 0.477122 0.574899i
\(559\) 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 0.164987 0.986296i \(-0.447242\pi\)
−0.771664 + 0.636031i \(0.780575\pi\)
\(564\) −5.70071 + 16.4338i −0.240043 + 0.691987i
\(565\) 0.0141652 + 0.0245348i 0.000595934 + 0.00103219i
\(566\) 15.8271 27.9470i 0.665264 1.17470i
\(567\) −18.8046 + 14.6078i −0.789717 + 0.613471i
\(568\) −1.01033 40.5357i −0.0423927 1.70084i
\(569\) 19.2204 11.0969i 0.805763 0.465207i −0.0397194 0.999211i \(-0.512646\pi\)
0.845482 + 0.534003i \(0.179313\pi\)
\(570\) 0.883387 + 4.81655i 0.0370010 + 0.201743i
\(571\) −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
\(576\) −3.05389 + 23.8049i −0.127245 + 0.991871i
\(577\) −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
\(579\) −22.4304 + 3.92160i −0.932177 + 0.162976i
\(580\) −2.76909 + 1.66067i −0.114980 + 0.0689557i
\(581\) 39.2375 + 24.3539i 1.62784 + 1.01037i
\(582\) −16.7916 + 14.2872i −0.696033 + 0.592222i
\(583\) −0.747449 1.29462i −0.0309562 0.0536177i
\(584\) 7.91941 + 4.31282i 0.327707 + 0.178466i
\(585\) 1.30563 + 3.61979i 0.0539812 + 0.149660i
\(586\) 0.150650 + 18.1361i 0.00622329 + 0.749194i
\(587\) 0.369829i 0.0152645i 0.999971 + 0.00763224i \(0.00242944\pi\)
−0.999971 + 0.00763224i \(0.997571\pi\)
\(588\) −9.39102 + 22.3564i −0.387279 + 0.921962i
\(589\) 21.3143i 0.878241i
\(590\) 0.866656 0.00719901i 0.0356797 0.000296379i
\(591\) −19.5742 23.3963i −0.805174 0.962396i
\(592\) −29.2740 + 18.2241i −1.20315 + 0.749005i
\(593\) 4.89233 + 8.47376i 0.200904 + 0.347976i 0.948820 0.315818i \(-0.102279\pi\)
−0.747916 + 0.663793i \(0.768945\pi\)
\(594\) −0.0435743 11.0018i −0.00178788 0.451408i
\(595\) −2.94981 1.83089i −0.120930 0.0750592i
\(596\) −18.4942 30.8382i −0.757553 1.26318i
\(597\) −5.94813 34.0216i −0.243441 1.39241i
\(598\) 21.8749 12.8729i 0.894531 0.526413i
\(599\) 31.2524 + 18.0436i 1.27694 + 0.737240i 0.976284 0.216494i \(-0.0694621\pi\)
0.300653 + 0.953734i \(0.402795\pi\)
\(600\) 23.2852 4.67176i 0.950613 0.190724i
\(601\) 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
\(606\) −2.36705 12.9060i −0.0961547 0.524271i
\(607\) −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
\(609\) −18.7741 + 2.66857i −0.760763 + 0.108136i
\(610\) 3.27328 + 1.85375i 0.132531 + 0.0750560i
\(611\) 8.25429 + 14.2968i 0.333933 + 0.578388i
\(612\) −15.6355 12.7584i −0.632027 0.515729i
\(613\) 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 \(0.114754\pi\)
−0.935717 + 0.352753i \(0.885246\pi\)
\(618\) −20.5382 7.31618i −0.826167 0.294300i
\(619\) −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
\(621\) −14.2895 + 24.5037i −0.573419 + 0.983298i
\(622\) 1.00469 1.77405i 0.0402844 0.0711328i
\(623\) 13.4780 + 0.429940i 0.539985 + 0.0172252i
\(624\) 15.1882 + 16.9748i 0.608015 + 0.679534i
\(625\) −11.3700 19.6933i −0.454798 0.787734i
\(626\) −29.3893 + 17.2950i −1.17463 + 0.691247i
\(627\) −8.52629 10.1912i −0.340507 0.406997i
\(628\) 4.91902 8.85659i 0.196290 0.353416i
\(629\) 28.9950i 1.15611i
\(630\) −4.29124 0.874400i −0.170967 0.0348369i
\(631\) −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
\(633\) −19.2835 + 16.1332i −0.766449 + 0.641237i
\(634\) 19.3209 + 32.8319i 0.767330 + 1.30392i
\(635\) 2.97867 1.71973i 0.118205 0.0682456i
\(636\) −3.39681 + 0.652208i −0.134692 + 0.0258617i
\(637\) 10.2132 + 20.6234i 0.404663 + 0.817127i
\(638\) 4.31755 7.62377i 0.170933 0.301828i
\(639\) 42.3328 + 7.59093i 1.67466 + 0.300293i
\(640\) −3.68795 + 2.42543i −0.145779 + 0.0958737i
\(641\) −11.9401 6.89362i −0.471606 0.272282i 0.245306 0.969446i \(-0.421112\pi\)
−0.716912 + 0.697164i \(0.754445\pi\)
\(642\) −12.9091 + 36.2389i −0.509483 + 1.43024i
\(643\) −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 \(-0.614783\pi\)
0.986746 0.162275i \(-0.0518832\pi\)
\(648\) −24.0828 8.24737i −0.946061 0.323987i
\(649\) −2.03665 + 1.17586i −0.0799454 + 0.0461565i
\(650\) 11.1073 19.6129i 0.435665 0.769280i
\(651\) 17.6851 + 7.11299i 0.693135 + 0.278780i
\(652\) 21.5374 12.9164i 0.843471 0.505844i
\(653\) 9.95455 + 17.2418i 0.389552 + 0.674723i 0.992389 0.123141i \(-0.0392966\pi\)
−0.602838 + 0.797864i \(0.705963\pi\)
\(654\) −7.73434 42.1704i −0.302437 1.64899i
\(655\) 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 \(-0.428553\pi\)
0.222576 + 0.974915i \(0.428553\pi\)
\(660\) 1.53015 1.32400i 0.0595609 0.0515366i
\(661\) 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
\(663\) −18.8664 + 3.29848i −0.732710 + 0.128102i
\(664\) 1.23013 + 49.3543i 0.0477385 + 1.91532i
\(665\) −4.66261 + 2.49723i −0.180808 + 0.0968385i
\(666\) −12.6951 34.3009i −0.491923 1.32913i
\(667\) −19.5630 + 11.2947i −0.757483 + 0.437333i
\(668\) −14.8608 + 0.246905i −0.574983 + 0.00955303i
\(669\) −3.69169 + 3.08859i −0.142729 + 0.119412i
\(670\) 1.94610 0.0161655i 0.0751842 0.000624529i
\(671\) −10.2073 −0.394050
\(672\) −25.4914 + 4.71054i −0.983352 + 0.181713i
\(673\) 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
\(675\) −0.109470 + 25.1896i −0.00421350 + 0.969548i
\(676\) −4.38172 + 0.0727998i −0.168528 + 0.00279999i
\(677\) 36.2236 20.9137i 1.39219 0.803780i 0.398630 0.917112i \(-0.369486\pi\)
0.993557 + 0.113332i \(0.0361524\pi\)
\(678\) −0.135467 + 0.115263i −0.00520259 + 0.00442665i
\(679\) −20.2332 12.5583i −0.776478 0.481945i
\(680\) −0.0924795 3.71038i −0.00354643 0.142287i
\(681\) −4.83728 27.6679i −0.185365 1.06024i
\(682\) −7.59049 + 4.46685i −0.290655 + 0.171044i
\(683\) −6.73357 + 11.6629i −0.257653 + 0.446268i −0.965613 0.259985i \(-0.916282\pi\)
0.707960 + 0.706253i \(0.249616\pi\)
\(684\) −28.7433 + 10.9104i −1.09903 + 0.417170i
\(685\) 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
\(690\) −5.13140 + 0.941133i −0.195349 + 0.0358283i
\(691\) −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
\(693\) 11.3013 3.67353i 0.429301 0.139546i
\(694\) 15.0948 26.6539i 0.572993 1.01177i
\(695\) 5.32149 3.07236i 0.201856 0.116541i
\(696\) −13.3915 15.2192i −0.507603 0.576882i
\(697\) −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 \(-0.251353\pi\)
0.704096 + 0.710105i \(0.251353\pi\)
\(702\) −20.8747 + 12.1625i −0.787863 + 0.459043i
\(703\) −38.2552 22.0866i −1.44282 0.833013i
\(704\) 5.46447 10.6581i 0.205950 0.401693i
\(705\) −0.584385 3.34252i −0.0220092 0.125886i
\(706\) 20.8858 36.8793i 0.786047 1.38797i
\(707\) 12.4935 6.69137i 0.469867 0.251655i
\(708\) 1.02603 + 5.34374i 0.0385605 + 0.200830i
\(709\) 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
\(711\) 1.35127 0.487392i 0.0506765 0.0182786i
\(712\) 7.51680 + 12.3011i 0.281704 + 0.461003i
\(713\) 22.7076 0.850406
\(714\) 7.96541 20.2897i 0.298098 0.759323i
\(715\) 1.92039i 0.0718186i
\(716\) −15.7663 + 28.3868i −0.589214 + 1.06087i
\(717\) 1.13151 0.946663i 0.0422572 0.0353538i
\(718\) 13.2915 7.82177i 0.496034 0.291906i
\(719\) −8.37315 14.5027i −0.312266 0.540860i 0.666587 0.745428i \(-0.267755\pi\)
−0.978853 + 0.204567i \(0.934421\pi\)
\(720\) −1.73394 4.34887i −0.0646201 0.162073i
\(721\) 0.750825 23.5373i 0.0279622 0.876575i
\(722\) −5.05671 + 8.92895i −0.188191 + 0.332301i
\(723\) −4.49211 25.6936i −0.167063 0.955555i
\(724\) 12.3851 0.205771i 0.460288 0.00764743i
\(725\) −10.0301 + 17.3726i −0.372508 + 0.645204i
\(726\) 7.19923 20.2099i 0.267188 0.750059i
\(727\) 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
\(732\) −7.74020 + 22.3131i −0.286086 + 0.824716i
\(733\) 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
\(735\) −0.516028 4.70208i −0.0190340 0.173439i
\(736\) −26.0794 + 16.5375i −0.961299 + 0.609580i
\(737\) −4.57334 + 2.64042i −0.168461 + 0.0972610i
\(738\) −7.97003 + 46.6753i −0.293381 + 1.71814i
\(739\) −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 \(-0.912509\pi\)
0.962463 0.271414i \(-0.0874914\pi\)
\(744\) 4.00862 + 19.9799i 0.146963 + 0.732500i
\(745\) 6.07486 + 3.50732i 0.222566 + 0.128498i
\(746\) −37.8961 + 22.3011i −1.38747 + 0.816500i
\(747\) −51.5423 9.24236i −1.88584 0.338160i
\(748\) 5.17974 + 8.63696i 0.189390 + 0.315799i
\(749\) −41.5307 1.32480i −1.51750 0.0484073i
\(750\) −7.16774 + 6.09870i −0.261729 + 0.222693i
\(751\) 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
\(753\) −15.6785 + 13.1172i −0.571356 + 0.478016i
\(754\) −19.2390 + 0.159811i −0.700641 + 0.00581998i
\(755\) 6.15772i 0.224103i
\(756\) 0.539466 27.4902i 0.0196202 0.999808i
\(757\) 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
\(759\) 10.8574 9.08364i 0.394097 0.329715i
\(760\) −4.96581 2.70433i −0.180129 0.0980962i
\(761\) −18.2013 31.5257i −0.659798 1.14280i −0.980668 0.195681i \(-0.937308\pi\)
0.320869 0.947124i \(-0.396025\pi\)
\(762\) 13.9936 + 16.4465i 0.506933 + 0.595794i
\(763\) 40.8227 21.8641i 1.47788 0.791533i
\(764\) −14.4340 + 8.65630i −0.522202 + 0.313174i
\(765\) 3.87487 + 0.694825i 0.140096 + 0.0251215i
\(766\) 25.0972 + 42.6476i 0.906799 + 1.54092i
\(767\) 4.47235 + 2.58211i 0.161487 + 0.0932347i
\(768\) −19.1548 20.0273i −0.691190 0.722673i
\(769\) 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