Properties

Label 168.2.ba.c.101.16
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 101.16
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.717256 - 1.21883i) q^{2} +(1.11142 + 1.32844i) q^{3} +(-0.971089 - 1.74842i) q^{4} +(0.337879 - 0.195075i) q^{5} +(2.41631 - 0.401798i) q^{6} +(1.39526 - 2.24795i) q^{7} +(-2.82755 - 0.0704754i) q^{8} +(-0.529502 + 2.95290i) q^{9} +O(q^{10})\) \(q+(0.717256 - 1.21883i) q^{2} +(1.11142 + 1.32844i) q^{3} +(-0.971089 - 1.74842i) 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} +(-0.529502 + 2.95290i) q^{9} +(0.00458308 - 0.551736i) q^{10} +(-0.748582 + 1.29658i) q^{11} +(1.24339 - 3.23326i) q^{12} +3.28768 q^{13} +(-1.73911 - 3.31293i) q^{14} +(0.634670 + 0.232043i) q^{15} +(-2.11397 + 3.39575i) q^{16} +(-1.68169 + 2.91278i) q^{17} +(3.21929 + 2.76336i) 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} +(-3.04897 - 3.83455i) q^{24} +(-2.42389 + 4.19830i) q^{25} +(2.35811 - 4.00712i) q^{26} +(-4.51125 + 2.57850i) q^{27} +(-5.28528 - 0.256545i) q^{28} -4.13801 q^{29} +(0.738041 - 0.607120i) q^{30} +(-3.60237 - 2.07983i) q^{31} +(2.62258 + 5.01219i) q^{32} +(-2.55442 + 0.446598i) 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} +(-7.24625 - 0.0601921i) q^{38} +(3.65399 + 4.36748i) q^{39} +(-0.969118 + 0.527771i) q^{40} +11.1607 q^{41} +(2.46815 - 5.99235i) q^{42} +4.79323i q^{43} +(2.99391 + 0.0497422i) q^{44} +(0.397129 + 1.10102i) q^{45} +(-0.0641268 + 7.71993i) 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} +(-5.73852 + 1.00329i) q^{51} +(-3.19263 - 5.74826i) q^{52} +(-0.499243 + 0.864715i) q^{53} +(-0.0929724 + 7.34788i) q^{54} +0.584118i q^{55} +(-4.10358 + 6.25784i) q^{56} +(3.04755 - 8.33548i) q^{57} +(-2.96801 + 5.04353i) q^{58} +(1.36034 + 0.785391i) q^{59} +(-0.210612 - 1.33501i) 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} +(-1.28784 + 3.43372i) q^{66} +(3.05467 + 1.76361i) q^{67} +(6.72585 + 0.111746i) q^{68} +(-8.88036 - 3.24676i) q^{69} +(-1.23388 - 0.780115i) q^{70} -14.3360i q^{71} +(1.70530 - 8.31216i) q^{72} +(2.76107 + 1.59410i) q^{73} +(0.101268 - 12.1912i) q^{74} +(-8.27115 + 1.44608i) 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} +(-0.0518426 + 1.55974i) q^{80} +(-8.43926 - 3.12713i) q^{81} +(8.00508 - 13.6030i) q^{82} -17.4548i q^{83} +(-5.53335 - 7.30630i) q^{84} +1.31222i q^{85} +(5.84213 + 3.43797i) q^{86} +(-4.59906 - 5.49710i) q^{87} +(2.20803 - 3.61339i) 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} +(-1.24081 - 7.09709i) q^{93} +(-7.10101 - 0.0589856i) q^{94} +(-1.73131 - 0.999573i) q^{95} +(-3.74361 + 9.05458i) q^{96} -9.00074i q^{97} +(-9.87379 - 0.712973i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.717256 1.21883i 0.507176 0.861842i
\(3\) 1.11142 + 1.32844i 0.641677 + 0.766975i
\(4\) −0.971089 1.74842i −0.485544 0.874212i
\(5\) 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
\(9\) −0.529502 + 2.95290i −0.176501 + 0.984301i
\(10\) 0.00458308 0.551736i 0.00144930 0.174474i
\(11\) −0.748582 + 1.29658i −0.225706 + 0.390934i −0.956531 0.291631i \(-0.905802\pi\)
0.730825 + 0.682565i \(0.239136\pi\)
\(12\) 1.24339 3.23326i 0.358936 0.933362i
\(13\) 3.28768 0.911838 0.455919 0.890021i \(-0.349311\pi\)
0.455919 + 0.890021i \(0.349311\pi\)
\(14\) −1.73911 3.31293i −0.464796 0.885418i
\(15\) 0.634670 + 0.232043i 0.163871 + 0.0599132i
\(16\) −2.11397 + 3.39575i −0.528493 + 0.848938i
\(17\) −1.68169 + 2.91278i −0.407871 + 0.706453i −0.994651 0.103293i \(-0.967062\pi\)
0.586780 + 0.809746i \(0.300395\pi\)
\(18\) 3.21929 + 2.76336i 0.758795 + 0.651330i
\(19\) −2.56203 4.43756i −0.587769 1.01805i −0.994524 0.104509i \(-0.966673\pi\)
0.406755 0.913537i \(-0.366660\pi\)
\(20\) −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 \(0.526057\pi\)
\(24\) −3.04897 3.83455i −0.622367 0.782725i
\(25\) −2.42389 + 4.19830i −0.484778 + 0.839661i
\(26\) 2.35811 4.00712i 0.462463 0.785861i
\(27\) −4.51125 + 2.57850i −0.868190 + 0.496232i
\(28\) −5.28528 0.256545i −0.998824 0.0484825i
\(29\) −4.13801 −0.768410 −0.384205 0.923248i \(-0.625524\pi\)
−0.384205 + 0.923248i \(0.625524\pi\)
\(30\) 0.738041 0.607120i 0.134747 0.110845i
\(31\) −3.60237 2.07983i −0.647005 0.373549i 0.140303 0.990109i \(-0.455192\pi\)
−0.787308 + 0.616560i \(0.788526\pi\)
\(32\) 2.62258 + 5.01219i 0.463611 + 0.886039i
\(33\) −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
\(36\) 5.67712 1.94174i 0.946186 0.323623i
\(37\) 7.46581 4.31038i 1.22737 0.708623i 0.260892 0.965368i \(-0.415983\pi\)
0.966479 + 0.256745i \(0.0826501\pi\)
\(38\) −7.24625 0.0601921i −1.17550 0.00976445i
\(39\) 3.65399 + 4.36748i 0.585106 + 0.699357i
\(40\) −0.969118 + 0.527771i −0.153231 + 0.0834480i
\(41\) 11.1607 1.74301 0.871505 0.490387i \(-0.163145\pi\)
0.871505 + 0.490387i \(0.163145\pi\)
\(42\) 2.46815 5.99235i 0.380845 0.924639i
\(43\) 4.79323i 0.730961i 0.930819 + 0.365480i \(0.119095\pi\)
−0.930819 + 0.365480i \(0.880905\pi\)
\(44\) 2.99391 + 0.0497422i 0.451350 + 0.00749892i
\(45\) 0.397129 + 1.10102i 0.0592005 + 0.164130i
\(46\) −0.0641268 + 7.71993i −0.00945498 + 1.13824i
\(47\) −2.51067 4.34861i −0.366219 0.634310i 0.622752 0.782419i \(-0.286015\pi\)
−0.988971 + 0.148109i \(0.952681\pi\)
\(48\) −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
\(51\) −5.73852 + 1.00329i −0.803553 + 0.140488i
\(52\) −3.19263 5.74826i −0.442738 0.797140i
\(53\) −0.499243 + 0.864715i −0.0685763 + 0.118778i −0.898275 0.439434i \(-0.855179\pi\)
0.829699 + 0.558212i \(0.188512\pi\)
\(54\) −0.0929724 + 7.34788i −0.0126519 + 0.999920i
\(55\) 0.584118i 0.0787624i
\(56\) −4.10358 + 6.25784i −0.548364 + 0.836240i
\(57\) 3.04755 8.33548i 0.403657 1.10406i
\(58\) −2.96801 + 5.04353i −0.389719 + 0.662248i
\(59\) 1.36034 + 0.785391i 0.177101 + 0.102249i 0.585930 0.810362i \(-0.300729\pi\)
−0.408829 + 0.912611i \(0.634063\pi\)
\(60\) −0.210612 1.33501i −0.0271899 0.172349i
\(61\) 3.40889 + 5.90437i 0.436464 + 0.755977i 0.997414 0.0718723i \(-0.0228974\pi\)
−0.560950 + 0.827850i \(0.689564\pi\)
\(62\) −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
\(66\) −1.28784 + 3.43372i −0.158523 + 0.422662i
\(67\) 3.05467 + 1.76361i 0.373187 + 0.215460i 0.674850 0.737955i \(-0.264208\pi\)
−0.301663 + 0.953415i \(0.597542\pi\)
\(68\) 6.72585 + 0.111746i 0.815629 + 0.0135512i
\(69\) −8.88036 3.24676i −1.06907 0.390864i
\(70\) −1.23388 0.780115i −0.147477 0.0932416i
\(71\) 14.3360i 1.70137i −0.525677 0.850684i \(-0.676188\pi\)
0.525677 0.850684i \(-0.323812\pi\)
\(72\) 1.70530 8.31216i 0.200971 0.979597i
\(73\) 2.76107 + 1.59410i 0.323159 + 0.186576i 0.652800 0.757531i \(-0.273594\pi\)
−0.329641 + 0.944106i \(0.606928\pi\)
\(74\) 0.101268 12.1912i 0.0117722 1.41720i
\(75\) −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
\(78\) 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 \(0.841908\pi\)
\(80\) −0.0518426 + 1.55974i −0.00579618 + 0.174384i
\(81\) −8.43926 3.12713i −0.937695 0.347459i
\(82\) 8.00508 13.6030i 0.884013 1.50220i
\(83\) 17.4548i 1.91591i −0.286911 0.957957i \(-0.592628\pi\)
0.286911 0.957957i \(-0.407372\pi\)
\(84\) −5.53335 7.30630i −0.603738 0.797183i
\(85\) 1.31222i 0.142331i
\(86\) 5.84213 + 3.43797i 0.629973 + 0.370726i
\(87\) −4.59906 5.49710i −0.493071 0.589351i
\(88\) 2.20803 3.61339i 0.235377 0.385189i
\(89\) 2.54840 + 4.41396i 0.270130 + 0.467879i 0.968895 0.247473i \(-0.0796000\pi\)
−0.698765 + 0.715351i \(0.746267\pi\)
\(90\) 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
\(93\) −1.24081 7.09709i −0.128666 0.735934i
\(94\) −7.10101 0.0589856i −0.732413 0.00608390i
\(95\) −1.73131 0.999573i −0.177629 0.102554i
\(96\) −3.74361 + 9.05458i −0.382081 + 0.924129i
\(97\) 9.00074i 0.913887i −0.889496 0.456943i \(-0.848944\pi\)
0.889496 0.456943i \(-0.151056\pi\)
\(98\) −9.87379 0.712973i −0.997403 0.0720212i
\(99\) −3.43230 2.89703i −0.344959 0.291163i
\(100\) 9.69423 + 0.161064i 0.969423 + 0.0161064i
\(101\) −4.63907 2.67837i −0.461605 0.266508i 0.251114 0.967958i \(-0.419203\pi\)
−0.712719 + 0.701450i \(0.752536\pi\)
\(102\) −2.89315 + 7.71388i −0.286464 + 0.763788i
\(103\) 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 \(0.107711\pi\)
−0.184157 + 0.982897i \(0.558955\pi\)
\(108\) 8.88913 + 5.38363i 0.855357 + 0.518040i
\(109\) −15.1582 8.75159i −1.45189 0.838250i −0.453303 0.891357i \(-0.649754\pi\)
−0.998589 + 0.0531069i \(0.983088\pi\)
\(110\) 0.711940 + 0.418962i 0.0678808 + 0.0399464i
\(111\) 14.0237 + 5.12723i 1.33107 + 0.486655i
\(112\) 4.68393 + 9.49004i 0.442590 + 0.896724i
\(113\) 0.0726142i 0.00683097i −0.999994 0.00341549i \(-0.998913\pi\)
0.999994 0.00341549i \(-0.00108718\pi\)
\(114\) −7.97365 9.69311i −0.746801 0.907843i
\(115\) −1.06491 + 1.84448i −0.0993037 + 0.171999i
\(116\) 4.01838 + 7.23500i 0.373097 + 0.671753i
\(117\) −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
\(120\) −1.77821 0.700841i −0.162327 0.0639777i
\(121\) 4.37925 + 7.58508i 0.398114 + 0.689553i
\(122\) 9.64147 + 0.0800883i 0.872897 + 0.00725085i
\(123\) 12.4042 + 14.8263i 1.11845 + 1.33684i
\(124\) −0.138202 + 8.31817i −0.0124109 + 0.746994i
\(125\) 3.84211i 0.343649i
\(126\) 10.7036 3.38121i 0.953554 0.301222i
\(127\) −8.81577 −0.782273 −0.391137 0.920333i \(-0.627918\pi\)
−0.391137 + 0.920333i \(0.627918\pi\)
\(128\) 6.21668 9.45267i 0.549482 0.835506i
\(129\) −6.36751 + 5.32728i −0.560628 + 0.469041i
\(130\) 0.0150677 1.81393i 0.00132152 0.159092i
\(131\) 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
\(135\) −1.02126 + 1.75125i −0.0878959 + 0.150724i
\(136\) 4.96035 8.11751i 0.425347 0.696071i
\(137\) −6.34787 3.66494i −0.542335 0.313117i 0.203690 0.979035i \(-0.434707\pi\)
−0.746025 + 0.665918i \(0.768040\pi\)
\(138\) −10.3267 + 8.49488i −0.879070 + 0.723132i
\(139\) 15.7497 1.33587 0.667935 0.744220i \(-0.267178\pi\)
0.667935 + 0.744220i \(0.267178\pi\)
\(140\) −1.83583 + 0.944343i −0.155156 + 0.0798116i
\(141\) 2.98646 8.16840i 0.251505 0.687903i
\(142\) −17.4731 10.2826i −1.46631 0.862894i
\(143\) −2.46110 + 4.26275i −0.205807 + 0.356469i
\(144\) −8.90796 8.04041i −0.742330 0.670034i
\(145\) −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 \(0.0968395\pi\)
−0.217613 + 0.976035i \(0.569827\pi\)
\(150\) −4.17001 + 11.1183i −0.340480 + 0.907807i
\(151\) −7.89149 + 13.6685i −0.642201 + 1.11232i 0.342740 + 0.939430i \(0.388645\pi\)
−0.984940 + 0.172894i \(0.944688\pi\)
\(152\) 6.93152 + 12.7280i 0.562220 + 1.03238i
\(153\) −7.71069 6.50820i −0.623373 0.526157i
\(154\) 5.59735 + 0.225107i 0.451047 + 0.0181396i
\(155\) −1.62289 −0.130354
\(156\) 4.08787 10.6299i 0.327291 0.851075i
\(157\) −2.53274 + 4.38683i −0.202134 + 0.350107i −0.949216 0.314625i \(-0.898121\pi\)
0.747082 + 0.664732i \(0.231454\pi\)
\(158\) −0.677140 0.00562477i −0.0538704 0.000447482i
\(159\) −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
\(162\) −9.86455 + 8.04306i −0.775032 + 0.631922i
\(163\) −10.8745 + 6.27840i −0.851757 + 0.491762i −0.861243 0.508193i \(-0.830314\pi\)
0.00948597 + 0.999955i \(0.496980\pi\)
\(164\) −10.8380 19.5136i −0.846308 1.52376i
\(165\) −0.775965 + 0.649199i −0.0604088 + 0.0505400i
\(166\) −21.2744 12.5196i −1.65122 0.971706i
\(167\) −7.43145 −0.575063 −0.287531 0.957771i \(-0.592835\pi\)
−0.287531 + 0.957771i \(0.592835\pi\)
\(168\) −12.8740 + 1.50372i −0.993248 + 0.116015i
\(169\) −2.19116 −0.168551
\(170\) 1.59938 + 0.941200i 0.122667 + 0.0721868i
\(171\) 14.4603 5.21571i 1.10580 0.398856i
\(172\) 8.38060 4.65465i 0.639014 0.354914i
\(173\) 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
\(177\) 0.468558 + 2.68002i 0.0352190 + 0.201443i
\(178\) 7.20771 + 0.0598720i 0.540241 + 0.00448759i
\(179\) 8.11784 14.0605i 0.606756 1.05093i −0.385016 0.922910i \(-0.625804\pi\)
0.991771 0.128022i \(-0.0408627\pi\)
\(180\) 1.53940 1.76353i 0.114740 0.131446i
\(181\) −6.19340 −0.460351 −0.230176 0.973149i \(-0.573930\pi\)
−0.230176 + 0.973149i \(0.573930\pi\)
\(182\) −5.71762 10.8919i −0.423818 0.807358i
\(183\) −4.05490 + 11.0907i −0.299747 + 0.819850i
\(184\) 13.5600 7.38462i 0.999655 0.544401i
\(185\) 1.68169 2.91278i 0.123641 0.214152i
\(186\) −9.54012 3.57809i −0.699516 0.262358i
\(187\) −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 \(0.431808\pi\)
\(192\) 8.35086 + 11.0573i 0.602671 + 0.797990i
\(193\) 6.57333 11.3853i 0.473158 0.819534i −0.526370 0.850256i \(-0.676447\pi\)
0.999528 + 0.0307215i \(0.00978048\pi\)
\(194\) −10.9704 6.45583i −0.787626 0.463502i
\(195\) 2.08659 + 0.762882i 0.149424 + 0.0546311i
\(196\) −7.95102 + 11.5231i −0.567930 + 0.823077i
\(197\) −17.6119 −1.25480 −0.627398 0.778699i \(-0.715880\pi\)
−0.627398 + 0.778699i \(0.715880\pi\)
\(198\) −5.99282 + 2.10548i −0.425891 + 0.149630i
\(199\) 17.2688 + 9.97017i 1.22416 + 0.706767i 0.965801 0.259284i \(-0.0834864\pi\)
0.258354 + 0.966050i \(0.416820\pi\)
\(200\) 7.14955 11.7001i 0.505549 0.827321i
\(201\) 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
\(204\) 7.32678 + 9.05908i 0.512977 + 0.634262i
\(205\) 3.77097 2.17717i 0.263376 0.152060i
\(206\) 0.104557 12.5872i 0.00728485 0.876990i
\(207\) −5.55666 15.4055i −0.386214 1.07076i
\(208\) −6.95007 + 11.1641i −0.481900 + 0.774094i
\(209\) 7.67154 0.530652
\(210\) −0.335017 2.50616i −0.0231184 0.172942i
\(211\) 14.5159i 0.999314i 0.866223 + 0.499657i \(0.166541\pi\)
−0.866223 + 0.499657i \(0.833459\pi\)
\(212\) 1.99670 + 0.0331740i 0.137134 + 0.00227840i
\(213\) 19.0445 15.9333i 1.30491 1.09173i
\(214\) 22.2096 + 0.184488i 1.51822 + 0.0126113i
\(215\) 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
\(219\) 0.951031 + 5.43963i 0.0642647 + 0.367576i
\(220\) 1.02129 0.567230i 0.0688550 0.0382426i
\(221\) −5.52887 + 9.57629i −0.371912 + 0.644171i
\(222\) 16.3078 13.4150i 1.09451 0.900354i
\(223\) 2.77897i 0.186093i −0.995662 0.0930467i \(-0.970339\pi\)
0.995662 0.0930467i \(-0.0296606\pi\)
\(224\) 14.9263 + 1.09788i 0.997306 + 0.0733549i
\(225\) −11.1137 9.38052i −0.740915 0.625368i
\(226\) −0.0885043 0.0520830i −0.00588722 0.00346451i
\(227\) −14.0438 8.10819i −0.932119 0.538159i −0.0446379 0.999003i \(-0.514213\pi\)
−0.887481 + 0.460844i \(0.847547\pi\)
\(228\) −17.5334 + 2.76608i −1.16118 + 0.183188i
\(229\) 10.3150 + 17.8661i 0.681633 + 1.18062i 0.974482 + 0.224464i \(0.0720633\pi\)
−0.292849 + 0.956159i \(0.594603\pi\)
\(230\) 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 \(0.355077\pi\)
\(234\) 10.5840 + 9.08503i 0.691898 + 0.593907i
\(235\) −1.69661 0.979538i −0.110675 0.0638980i
\(236\) 0.0521881 3.14113i 0.00339716 0.204470i
\(237\) 0.284784 0.778925i 0.0184987 0.0505966i
\(238\) 12.5745 + 0.505704i 0.815083 + 0.0327799i
\(239\) 0.851762i 0.0550959i 0.999620 + 0.0275480i \(0.00876990\pi\)
−0.999620 + 0.0275480i \(0.991230\pi\)
\(240\) −2.12963 + 1.66465i −0.137467 + 0.107453i
\(241\) 13.0417 + 7.52961i 0.840087 + 0.485025i 0.857294 0.514827i \(-0.172144\pi\)
−0.0172066 + 0.999852i \(0.505477\pi\)
\(242\) 12.3860 + 0.102886i 0.796200 + 0.00661375i
\(243\) −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
\(246\) 26.9677 4.48434i 1.71940 0.285911i
\(247\) −8.42312 14.5893i −0.535950 0.928293i
\(248\) 10.0393 + 6.13470i 0.637496 + 0.389554i
\(249\) 23.1877 19.3996i 1.46946 1.22940i
\(250\) 4.68287 + 2.75577i 0.296171 + 0.174290i
\(251\) 11.8022i 0.744948i 0.928043 + 0.372474i \(0.121490\pi\)
−0.928043 + 0.372474i \(0.878510\pi\)
\(252\) 3.55612 15.4711i 0.224014 0.974586i
\(253\) 8.17302i 0.513834i
\(254\) −6.32316 + 10.7449i −0.396750 + 0.674196i
\(255\) −1.74321 + 1.45843i −0.109164 + 0.0913304i
\(256\) −7.06224 14.3570i −0.441390 0.897315i
\(257\) −8.86901 15.3616i −0.553233 0.958228i −0.998039 0.0626011i \(-0.980060\pi\)
0.444805 0.895627i \(-0.353273\pi\)
\(258\) 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
\(261\) 2.19109 12.2191i 0.135625 0.756346i
\(262\) 0.0591649 7.12259i 0.00365522 0.440035i
\(263\) 6.27815 + 3.62469i 0.387128 + 0.223508i 0.680915 0.732363i \(-0.261582\pi\)
−0.293787 + 0.955871i \(0.594916\pi\)
\(264\) 7.25421 1.08275i 0.446466 0.0666390i
\(265\) 0.389559i 0.0239304i
\(266\) −10.2457 + 16.2052i −0.628204 + 0.993605i
\(267\) −3.03134 + 8.29114i −0.185515 + 0.507410i
\(268\) 0.117190 7.05348i 0.00715850 0.430860i
\(269\) −2.95817 1.70790i −0.180363 0.104132i 0.407100 0.913383i \(-0.366540\pi\)
−0.587463 + 0.809251i \(0.699873\pi\)
\(270\) 1.40197 + 2.50083i 0.0853213 + 0.152196i
\(271\) 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
\(276\) 2.94690 + 18.6795i 0.177383 + 1.12438i
\(277\) −10.6940 6.17421i −0.642543 0.370972i 0.143050 0.989715i \(-0.454309\pi\)
−0.785593 + 0.618743i \(0.787642\pi\)
\(278\) 11.2965 19.1962i 0.677521 1.15131i
\(279\) 8.04900 9.53617i 0.481881 0.570916i
\(280\) −0.165768 + 2.91490i −0.00990653 + 0.174199i
\(281\) 7.91565i 0.472208i 0.971728 + 0.236104i \(0.0758706\pi\)
−0.971728 + 0.236104i \(0.924129\pi\)
\(282\) −7.81383 9.49882i −0.465307 0.565646i
\(283\) −11.3552 + 19.6678i −0.674999 + 1.16913i 0.301471 + 0.953475i \(0.402522\pi\)
−0.976469 + 0.215656i \(0.930811\pi\)
\(284\) −25.0654 + 13.9215i −1.48736 + 0.826090i
\(285\) −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
\(288\) −16.1892 + 5.09026i −0.953956 + 0.299946i
\(289\) 2.84381 + 4.92562i 0.167283 + 0.289742i
\(290\) −0.0189648 + 2.28309i −0.00111365 + 0.134068i
\(291\) 11.9569 10.0036i 0.700928 0.586420i
\(292\) 0.105926 6.37554i 0.00619885 0.373100i
\(293\) 12.8246i 0.749220i −0.927183 0.374610i \(-0.877777\pi\)
0.927183 0.374610i \(-0.122223\pi\)
\(294\) −10.0268 13.9091i −0.584772 0.811197i
\(295\) 0.612840 0.0356809
\(296\) −21.4137 + 11.6617i −1.24465 + 0.677821i
\(297\) 0.0338081 7.77942i 0.00196175 0.451408i
\(298\) 25.4258 + 0.211203i 1.47288 + 0.0122347i
\(299\) −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
\(303\) −1.59789 9.13951i −0.0917966 0.525051i
\(304\) 20.4849 + 0.680878i 1.17489 + 0.0390511i
\(305\) 2.30359 + 1.32998i 0.131903 + 0.0761542i
\(306\) −13.4629 + 4.72997i −0.769624 + 0.270395i
\(307\) −12.3622 −0.705549 −0.352774 0.935708i \(-0.614762\pi\)
−0.352774 + 0.935708i \(0.614762\pi\)
\(308\) 4.28910 6.66075i 0.244394 0.379532i
\(309\) 14.4792 + 5.29377i 0.823694 + 0.301152i
\(310\) −1.16403 + 1.97802i −0.0661123 + 0.112344i
\(311\) 0.720819 1.24850i 0.0408739 0.0707957i −0.844865 0.534980i \(-0.820319\pi\)
0.885739 + 0.464184i \(0.153652\pi\)
\(312\) −10.0240 12.6068i −0.567498 0.713719i
\(313\) −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 \(-0.893588\pi\)
0.188167 0.982137i \(-0.439745\pi\)
\(318\) −0.858887 + 2.29001i −0.0481640 + 0.128418i
\(319\) 3.09764 5.36527i 0.173435 0.300398i
\(320\) 2.77742 1.42400i 0.155263 0.0796040i
\(321\) −9.34067 + 25.5481i −0.521345 + 1.42595i
\(322\) 17.2645 + 10.9154i 0.962114 + 0.608294i
\(323\) 17.2342 0.958935
\(324\) 2.72771 + 17.7921i 0.151540 + 0.988451i
\(325\) −7.96898 + 13.8027i −0.442039 + 0.765635i
\(326\) −0.147504 + 17.7574i −0.00816952 + 0.983491i
\(327\) −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
\(330\) 0.234697 + 1.41141i 0.0129196 + 0.0776956i
\(331\) −15.2782 + 8.82087i −0.839766 + 0.484839i −0.857185 0.515009i \(-0.827788\pi\)
0.0174189 + 0.999848i \(0.494455\pi\)
\(332\) −30.5184 + 16.9502i −1.67492 + 0.930262i
\(333\) 8.77498 + 24.3281i 0.480866 + 1.33317i
\(334\) −5.33025 + 9.05766i −0.291658 + 0.495613i
\(335\) 1.37615 0.0751868
\(336\) −7.40114 + 16.7697i −0.403765 + 0.914863i
\(337\) 11.0396 0.601365 0.300682 0.953724i \(-0.402786\pi\)
0.300682 + 0.953724i \(0.402786\pi\)
\(338\) −1.57162 + 2.67065i −0.0854850 + 0.145264i
\(339\) 0.0964636 0.0807047i 0.00523918 0.00438328i
\(340\) 2.29432 1.27429i 0.124427 0.0691079i
\(341\) 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
\(345\) −3.63385 + 0.635319i −0.195640 + 0.0342045i
\(346\) 0.206781 24.8934i 0.0111166 1.33828i
\(347\) −10.8299 + 18.7579i −0.581377 + 1.00697i 0.413940 + 0.910304i \(0.364152\pi\)
−0.995316 + 0.0966701i \(0.969181\pi\)
\(348\) −5.14516 + 13.3793i −0.275810 + 0.717205i
\(349\) 6.46130 0.345865 0.172933 0.984934i \(-0.444676\pi\)
0.172933 + 0.984934i \(0.444676\pi\)
\(350\) 18.1241 + 0.728891i 0.968774 + 0.0389609i
\(351\) −14.8315 + 8.47727i −0.791649 + 0.452483i
\(352\) −8.46193 0.351646i −0.451023 0.0187428i
\(353\) 14.9846 25.9541i 0.797549 1.38140i −0.123659 0.992325i \(-0.539463\pi\)
0.921208 0.389071i \(-0.127204\pi\)
\(354\) 3.60257 + 1.35117i 0.191474 + 0.0718138i
\(355\) −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 \(0.240418\pi\)
\(360\) −1.04531 3.14117i −0.0550925 0.165554i
\(361\) −3.62795 + 6.28380i −0.190945 + 0.330726i
\(362\) −4.44225 + 7.54869i −0.233479 + 0.396750i
\(363\) −5.20915 + 14.2478i −0.273409 + 0.747814i
\(364\) −17.3763 0.843438i −0.910766 0.0442082i
\(365\) 1.24388 0.0651075
\(366\) 10.6093 + 12.8971i 0.554557 + 0.674143i
\(367\) −2.43552 1.40615i −0.127133 0.0734002i 0.435085 0.900389i \(-0.356718\pi\)
−0.562218 + 0.826989i \(0.690052\pi\)
\(368\) 0.725387 21.8240i 0.0378134 1.13765i
\(369\) −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
\(372\) −11.2038 + 9.06137i −0.580889 + 0.469810i
\(373\) 26.9266 15.5461i 1.39421 0.804947i 0.400431 0.916327i \(-0.368860\pi\)
0.993778 + 0.111380i \(0.0355271\pi\)
\(374\) −7.12109 0.0591524i −0.368223 0.00305870i
\(375\) −5.10401 + 4.27019i −0.263570 + 0.220511i
\(376\) 6.79258 + 12.4729i 0.350301 + 0.643238i
\(377\) −13.6045 −0.700665
\(378\) 16.3879 + 10.4612i 0.842903 + 0.538065i
\(379\) 17.6950i 0.908931i −0.890764 0.454465i \(-0.849830\pi\)
0.890764 0.454465i \(-0.150170\pi\)
\(380\) −0.0664203 + 3.99774i −0.00340729 + 0.205080i
\(381\) −9.79800 11.7112i −0.501967 0.599984i
\(382\) −0.0988546 + 11.9007i −0.00505784 + 0.608890i
\(383\) 17.4953 + 30.3028i 0.893968 + 1.54840i 0.835076 + 0.550134i \(0.185423\pi\)
0.0588917 + 0.998264i \(0.481243\pi\)
\(384\) 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
\(387\) −14.1539 2.53802i −0.719485 0.129015i
\(388\) −15.7371 + 8.74052i −0.798931 + 0.443733i
\(389\) 10.4422 18.0864i 0.529439 0.917015i −0.469971 0.882682i \(-0.655736\pi\)
0.999410 0.0343338i \(-0.0109309\pi\)
\(390\) 2.42644 1.99602i 0.122868 0.101072i
\(391\) 18.3608i 0.928543i
\(392\) 8.34175 + 17.9559i 0.421322 + 0.906911i
\(393\) 8.19322 + 2.99554i 0.413293 + 0.151105i
\(394\) −12.6322 + 21.4659i −0.636402 + 1.08144i
\(395\) −0.161786 0.0934070i −0.00814032 0.00469982i
\(396\) −1.73217 + 8.81440i −0.0870447 + 0.442940i
\(397\) 2.44443 + 4.23387i 0.122682 + 0.212492i 0.920825 0.389977i \(-0.127517\pi\)
−0.798142 + 0.602469i \(0.794184\pi\)
\(398\) 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 \(0.272171\pi\)
\(402\) 8.08964 + 3.03408i 0.403475 + 0.151326i
\(403\) −11.8434 6.83782i −0.589964 0.340616i
\(404\) −0.177974 + 10.7120i −0.00885453 + 0.532942i
\(405\) −3.46148 + 0.589691i −0.172002 + 0.0293020i
\(406\) 7.19644 + 13.7090i 0.357153 + 0.680364i
\(407\) 12.9067i 0.639762i
\(408\) 16.2966 2.43242i 0.806804 0.120423i
\(409\) −6.66584 3.84852i −0.329604 0.190297i 0.326061 0.945349i \(-0.394279\pi\)
−0.655666 + 0.755051i \(0.727612\pi\)
\(410\) 0.0511504 6.15776i 0.00252614 0.304110i
\(411\) −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
\(414\) −22.7622 4.27708i −1.11870 0.210207i
\(415\) −3.40499 5.89762i −0.167145 0.289503i
\(416\) 8.62221 + 16.4785i 0.422738 + 0.807924i
\(417\) 17.5045 + 20.9225i 0.857197 + 1.02458i
\(418\) 5.50246 9.35030i 0.269134 0.457338i
\(419\) 4.38235i 0.214092i −0.994254 0.107046i \(-0.965861\pi\)
0.994254 0.107046i \(-0.0341392\pi\)
\(420\) −3.29488 1.38923i −0.160774 0.0677876i
\(421\) 11.9400i 0.581921i −0.956735 0.290961i \(-0.906025\pi\)
0.956735 0.290961i \(-0.0939749\pi\)
\(422\) 17.6924 + 10.4116i 0.861251 + 0.506829i
\(423\) 14.1704 5.11117i 0.688990 0.248514i
\(424\) 1.47258 2.40984i 0.0715146 0.117032i
\(425\) −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
\(429\) −8.39811 + 1.46827i −0.405464 + 0.0708888i
\(430\) 2.64460 + 0.0219677i 0.127534 + 0.00105938i
\(431\) −0.588922 0.340014i −0.0283674 0.0163779i 0.485749 0.874098i \(-0.338547\pi\)
−0.514117 + 0.857720i \(0.671880\pi\)
\(432\) 0.780729 20.7699i 0.0375628 0.999294i
\(433\) 0.238499i 0.0114615i −0.999984 0.00573077i \(-0.998176\pi\)
0.999984 0.00573077i \(-0.00182417\pi\)
\(434\) −0.625428 + 15.5515i −0.0300215 + 0.746494i
\(435\) −2.62627 0.960196i −0.125920 0.0460379i
\(436\) −0.581531 + 35.0015i −0.0278503 + 1.67627i
\(437\) 24.2247 + 13.9861i 1.15882 + 0.669046i
\(438\) 7.31211 + 2.74246i 0.349386 + 0.131040i
\(439\) 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 0.928807 0.370565i \(-0.120836\pi\)
−0.785322 + 0.619088i \(0.787503\pi\)
\(444\) −4.65370 29.4984i −0.220855 1.39993i
\(445\) 1.72210 + 0.994257i 0.0816355 + 0.0471323i
\(446\) −3.38709 1.99323i −0.160383 0.0943822i
\(447\) −10.6933 + 29.2477i −0.505776 + 1.38337i
\(448\) 12.0441 17.4052i 0.569030 0.822317i
\(449\) 28.1482i 1.32839i 0.747558 + 0.664197i \(0.231226\pi\)
−0.747558 + 0.664197i \(0.768774\pi\)
\(450\) −19.4046 + 6.81750i −0.914743 + 0.321380i
\(451\) −8.35470 + 14.4708i −0.393408 + 0.681402i
\(452\) −0.126960 + 0.0705149i −0.00597172 + 0.00331674i
\(453\) −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
\(456\) −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 \(0.927511\pi\)
\(458\) 29.1742 + 0.242340i 1.36322 + 0.0113238i
\(459\) 0.0759502 17.4765i 0.00354505 0.815734i
\(460\) 4.25907 + 0.0707621i 0.198580 + 0.00329930i
\(461\) 31.6209i 1.47273i 0.676583 + 0.736367i \(0.263460\pi\)
−0.676583 + 0.736367i \(0.736540\pi\)
\(462\) 5.92195 + 7.68593i 0.275514 + 0.357582i
\(463\) 23.5095 1.09258 0.546290 0.837596i \(-0.316040\pi\)
0.546290 + 0.837596i \(0.316040\pi\)
\(464\) 8.74765 14.0517i 0.406099 0.652332i
\(465\) −1.80371 2.15591i −0.0836449 0.0999779i
\(466\) −0.0244784 + 2.94684i −0.00113394 + 0.136510i
\(467\) −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
\(471\) −8.64256 + 1.51101i −0.398228 + 0.0696237i
\(472\) −3.79107 2.31660i −0.174498 0.106630i
\(473\) −6.21481 3.58812i −0.285757 0.164982i
\(474\) −0.745113 0.905791i −0.0342242 0.0416044i
\(475\) 24.8403 1.13975
\(476\) 9.63548 14.9634i 0.441642 0.685848i
\(477\) −2.28907 1.93208i −0.104809 0.0884641i
\(478\) 1.03815 + 0.610931i 0.0474840 + 0.0279433i
\(479\) −17.3034 + 29.9703i −0.790611 + 1.36938i 0.134979 + 0.990848i \(0.456903\pi\)
−0.925589 + 0.378529i \(0.876430\pi\)
\(480\) 0.501431 + 3.78964i 0.0228871 + 0.172973i
\(481\) 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
\(486\) −21.6483 4.16526i −0.981989 0.188940i
\(487\) −12.0284 + 20.8338i −0.545058 + 0.944068i 0.453545 + 0.891233i \(0.350159\pi\)
−0.998603 + 0.0528351i \(0.983174\pi\)
\(488\) −9.22269 16.9351i −0.417492 0.766618i
\(489\) −20.4266 7.46820i −0.923723 0.337724i
\(490\) −3.47523 + 1.68523i −0.156995 + 0.0761308i
\(491\) 15.3708 0.693675 0.346837 0.937925i \(-0.387256\pi\)
0.346837 + 0.937925i \(0.387256\pi\)
\(492\) 13.8771 36.0855i 0.625628 1.62686i
\(493\) 6.95887 12.0531i 0.313412 0.542845i
\(494\) −23.8234 0.197892i −1.07186 0.00890360i
\(495\) −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
\(498\) −7.01330 42.1763i −0.314274 1.88996i
\(499\) 22.8684 13.2031i 1.02373 0.591051i 0.108548 0.994091i \(-0.465380\pi\)
0.915182 + 0.403040i \(0.132047\pi\)
\(500\) 6.71763 3.73103i 0.300422 0.166857i
\(501\) −8.25944 9.87223i −0.369005 0.441059i
\(502\) 14.3849 + 8.46519i 0.642028 + 0.377820i
\(503\) −28.3616 −1.26458 −0.632291 0.774731i \(-0.717885\pi\)
−0.632291 + 0.774731i \(0.717885\pi\)
\(504\) −16.3059 15.4310i −0.726325 0.687352i
\(505\) −2.08993 −0.0930006
\(506\) −9.96152 5.86215i −0.442844 0.260604i
\(507\) −2.43530 2.91083i −0.108155 0.129274i
\(508\) 8.56090 + 15.4137i 0.379828 + 0.683873i
\(509\) 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
\(513\) 23.0002 + 13.4128i 1.01548 + 0.592188i
\(514\) −25.0845 0.208368i −1.10643 0.00919072i
\(515\) 1.73632 3.00739i 0.0765113 0.132522i
\(516\) 15.4978 + 5.95985i 0.682251 + 0.262368i
\(517\) 7.51778 0.330631
\(518\) −27.2638 17.2375i −1.19790 0.757371i
\(519\) 28.6352 + 10.4694i 1.25695 + 0.459554i
\(520\) −3.18615 + 1.73514i −0.139722 + 0.0760910i
\(521\) −5.91179 + 10.2395i −0.259000 + 0.448601i −0.965974 0.258638i \(-0.916726\pi\)
0.706974 + 0.707239i \(0.250060\pi\)
\(522\) −13.3215 11.4348i −0.583065 0.500488i
\(523\) 3.37960 + 5.85364i 0.147780 + 0.255962i 0.930407 0.366529i \(-0.119454\pi\)
−0.782627 + 0.622491i \(0.786121\pi\)
\(524\) −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
\(528\) 3.88343 9.61826i 0.169005 0.418581i
\(529\) 3.40036 5.88960i 0.147842 0.256070i
\(530\) 0.474806 + 0.279413i 0.0206242 + 0.0121369i
\(531\) −3.03948 + 3.60108i −0.131902 + 0.156273i
\(532\) 12.4026 + 24.1110i 0.537720 + 1.04535i
\(533\) 36.6928 1.58934
\(534\) 7.93124 + 9.64155i 0.343218 + 0.417231i
\(535\) 5.30643 + 3.06367i 0.229417 + 0.132454i
\(536\) −8.51293 5.20198i −0.367702 0.224691i
\(537\) 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
\(540\) 4.05366 + 0.0849721i 0.174442 + 0.00365662i
\(541\) −15.3128 + 8.84087i −0.658351 + 0.380099i −0.791648 0.610977i \(-0.790777\pi\)
0.133298 + 0.991076i \(0.457443\pi\)
\(542\) 0.0538485 6.48257i 0.00231299 0.278450i
\(543\) −6.88345 8.22755i −0.295397 0.353078i
\(544\) −19.0098 0.789975i −0.815038 0.0338699i
\(545\) −6.82885 −0.292516
\(546\) 8.11450 19.7009i 0.347269 0.843121i
\(547\) 1.49834i 0.0640644i −0.999487 0.0320322i \(-0.989802\pi\)
0.999487 0.0320322i \(-0.0101979\pi\)
\(548\) −0.243530 + 14.6577i −0.0104031 + 0.626148i
\(549\) −19.2400 + 6.93974i −0.821145 + 0.296181i
\(550\) −10.2639 0.0852587i −0.437654 0.00363544i
\(551\) 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
\(555\) 5.73852 1.00329i 0.243586 0.0425871i
\(556\) −15.2943 27.5371i −0.648624 1.16783i
\(557\) −1.46808 + 2.54278i −0.0622044 + 0.107741i −0.895450 0.445161i \(-0.853146\pi\)
0.833246 + 0.552902i \(0.186480\pi\)
\(558\) −5.84978 16.6502i −0.247641 0.704860i
\(559\) 15.7586i 0.666518i
\(560\) 3.43387 + 2.29277i 0.145107 + 0.0968873i
\(561\) 2.99491 8.19150i 0.126445 0.345845i
\(562\) 9.64783 + 5.67755i 0.406969 + 0.239493i
\(563\) 14.3950 + 8.31096i 0.606677 + 0.350265i 0.771664 0.636031i \(-0.219425\pi\)
−0.164987 + 0.986296i \(0.552758\pi\)
\(564\) −17.1819 + 2.71064i −0.723490 + 0.114139i
\(565\) −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 \(0.179313\pi\)
\(570\) −4.58501 1.71964i −0.192045 0.0720279i
\(571\) 5.22532 + 3.01684i 0.218673 + 0.126251i 0.605336 0.795970i \(-0.293039\pi\)
−0.386663 + 0.922221i \(0.626372\pi\)
\(572\) 9.84303 + 0.163537i 0.411558 + 0.00683781i
\(573\) −13.6895 5.00504i −0.571887 0.209089i
\(574\) −19.4096 36.9746i −0.810143 1.54329i
\(575\) 26.4641i 1.10363i
\(576\) −5.40762 + 23.3828i −0.225317 + 0.974285i
\(577\) −17.4549 10.0776i −0.726659 0.419537i 0.0905396 0.995893i \(-0.471141\pi\)
−0.817199 + 0.576356i \(0.804474\pi\)
\(578\) 8.04323 + 0.0668123i 0.334554 + 0.00277902i
\(579\) 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
\(582\) −3.61648 21.7486i −0.149908 0.901508i
\(583\) −0.747449 1.29462i −0.0309562 0.0536177i
\(584\) −7.69472 4.70200i −0.318410 0.194570i
\(585\) 1.30563 + 3.61979i 0.0539812 + 0.149660i
\(586\) −15.6310 9.19850i −0.645709 0.379986i
\(587\) 0.369829i 0.0152645i −0.999971 0.00763224i \(-0.997571\pi\)
0.999971 0.00763224i \(-0.00242944\pi\)
\(588\) −24.1446 + 2.24450i −0.995707 + 0.0925616i
\(589\) 21.3143i 0.878241i
\(590\) 0.439563 0.746947i 0.0180965 0.0307513i
\(591\) −19.5742 23.3963i −0.805174 0.962396i
\(592\) −1.14552 + 34.4640i −0.0470805 + 1.41646i
\(593\) 4.89233 + 8.47376i 0.200904 + 0.347976i 0.948820 0.315818i \(-0.102279\pi\)
−0.747916 + 0.663793i \(0.768945\pi\)
\(594\) −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
\(597\) 5.94813 + 34.0216i 0.243441 + 1.39241i
\(598\) −0.210828 + 25.3807i −0.00862141 + 1.03789i
\(599\) 31.2524 + 18.0436i 1.27694 + 0.737240i 0.976284 0.216494i \(-0.0694621\pi\)
0.300653 + 0.953734i \(0.402795\pi\)
\(600\) 23.4890 3.50594i 0.958934 0.143129i
\(601\) 9.75944i 0.398096i 0.979990 + 0.199048i \(0.0637849\pi\)
−0.979990 + 0.199048i \(0.936215\pi\)
\(602\) 15.8796 8.33593i 0.647206 0.339747i
\(603\) −6.82523 + 8.08629i −0.277945 + 0.329299i
\(604\) 31.5616 + 0.524379i 1.28422 + 0.0213367i
\(605\) 2.95932 + 1.70856i 0.120313 + 0.0694629i
\(606\) −12.2856 4.60780i −0.499068 0.187179i
\(607\) −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
\(612\) −3.89133 + 19.8016i −0.157298 + 0.800432i
\(613\) −10.1968 5.88712i −0.411844 0.237779i 0.279737 0.960077i \(-0.409753\pi\)
−0.691582 + 0.722298i \(0.743086\pi\)
\(614\) −8.86687 + 15.0674i −0.357838 + 0.608072i
\(615\) 7.08336 + 2.58976i 0.285629 + 0.104429i
\(616\) −5.04194 10.0051i −0.203146 0.403118i
\(617\) 17.5244i 0.705506i 0.935717 + 0.352753i \(0.114754\pi\)
−0.935717 + 0.352753i \(0.885246\pi\)
\(618\) 16.8375 13.8507i 0.677304 0.557157i
\(619\) 12.8081 22.1843i 0.514801 0.891661i −0.485052 0.874485i \(-0.661199\pi\)
0.999852 0.0171755i \(-0.00546739\pi\)
\(620\) 1.57597 + 2.83750i 0.0632925 + 0.113957i
\(621\) 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
\(624\) −22.5553 + 3.17528i −0.902935 + 0.127113i
\(625\) −11.3700 19.6933i −0.454798 0.787734i
\(626\) −0.283252 + 34.0994i −0.0113210 + 1.36289i
\(627\) 8.52629 + 10.1912i 0.340507 + 0.406997i
\(628\) 10.1295 + 0.168297i 0.404213 + 0.00671577i
\(629\) 28.9950i 1.15611i
\(630\) 2.95694 3.23045i 0.117807 0.128704i
\(631\) −7.24555 −0.288441 −0.144220 0.989546i \(-0.546067\pi\)
−0.144220 + 0.989546i \(0.546067\pi\)
\(632\) 0.647729 + 1.18939i 0.0257653 + 0.0473114i
\(633\) −19.2835 + 16.1332i −0.766449 + 0.641237i
\(634\) −38.0937 0.316431i −1.51289 0.0125671i
\(635\) −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
\(639\) 42.3328 + 7.59093i 1.67466 + 0.300293i
\(640\) 0.256511 4.40658i 0.0101395 0.174185i
\(641\) −11.9401 6.89362i −0.471606 0.272282i 0.245306 0.969446i \(-0.421112\pi\)
−0.716912 + 0.697164i \(0.754445\pi\)
\(642\) 24.4391 + 29.7092i 0.964534 + 1.17253i
\(643\) 20.7470 0.818184 0.409092 0.912493i \(-0.365846\pi\)
0.409092 + 0.912493i \(0.365846\pi\)
\(644\) 25.6871 13.2133i 1.01221 0.520678i
\(645\) −1.11223 + 3.04212i −0.0437942 + 0.119783i
\(646\) 12.3613 21.0055i 0.486349 0.826451i
\(647\) 16.1242 27.9279i 0.633907 1.09796i −0.352838 0.935684i \(-0.614783\pi\)
0.986746 0.162275i \(-0.0518832\pi\)
\(648\) 23.6420 + 9.43688i 0.928746 + 0.370716i
\(649\) −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 0.602838 0.797864i \(-0.294037\pi\)
−0.992389 + 0.123141i \(0.960703\pi\)
\(654\) −40.1433 15.0560i −1.56973 0.588737i
\(655\) 0.982514 1.70176i 0.0383900 0.0664934i
\(656\) −23.5934 + 37.8990i −0.921168 + 1.47971i
\(657\) −6.16923 + 7.30909i −0.240684 + 0.285155i
\(658\) −10.0403 + 15.8804i −0.391413 + 0.619082i
\(659\) −11.4275 −0.445153 −0.222576 0.974915i \(-0.571447\pi\)
−0.222576 + 0.974915i \(0.571447\pi\)
\(660\) 1.88861 + 0.726286i 0.0735139 + 0.0282706i
\(661\) −2.31268 + 4.00568i −0.0899529 + 0.155803i −0.907491 0.420071i \(-0.862005\pi\)
0.817538 + 0.575875i \(0.195338\pi\)
\(662\) −0.207237 + 24.9483i −0.00805450 + 0.969644i
\(663\) −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
\(666\) 35.9458 + 6.75429i 1.39287 + 0.261724i
\(667\) 19.5630 11.2947i 0.757483 0.437333i
\(668\) 7.21660 + 12.9933i 0.279218 + 0.502727i
\(669\) 3.69169 3.08859i 0.142729 0.119412i
\(670\) 0.987048 1.67729i 0.0381330 0.0647992i
\(671\) −10.2073 −0.394050
\(672\) 15.1309 + 21.0489i 0.583687 + 0.811979i
\(673\) 19.2606 0.742441 0.371220 0.928545i \(-0.378939\pi\)
0.371220 + 0.928545i \(0.378939\pi\)
\(674\) 7.91821 13.4554i 0.304998 0.518282i
\(675\) 0.109470 25.1896i 0.00421350 0.969548i
\(676\) 2.12781 + 3.83108i 0.0818389 + 0.147349i
\(677\) −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
\(681\) −4.83728 27.6679i −0.185365 1.06024i
\(682\) 0.0731565 8.80698i 0.00280131 0.337237i
\(683\) 6.73357 11.6629i 0.257653 0.446268i −0.707960 0.706253i \(-0.750384\pi\)
0.965613 + 0.259985i \(0.0837176\pi\)
\(684\) −23.1615 20.2178i −0.885602 0.773046i
\(685\) −2.85975 −0.109265
\(686\) −15.3792 + 21.2010i −0.587180 + 0.809456i
\(687\) −12.2697 + 33.5595i −0.468120 + 1.28037i
\(688\) −16.2766 10.1328i −0.620540 0.386308i
\(689\) −1.64135 + 2.84291i −0.0625305 + 0.108306i
\(690\) −1.83205 + 4.88473i −0.0697451 + 0.185958i
\(691\) 15.2232 + 26.3674i 0.579118 + 1.00306i 0.995581 + 0.0939090i \(0.0299363\pi\)
−0.416463 + 0.909153i \(0.636730\pi\)
\(692\) −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
\(696\) 12.6167 + 15.8674i 0.478233 + 0.601454i
\(697\) −18.7689 + 32.5087i −0.710923 + 1.23135i
\(698\) 4.63440 7.87522i 0.175415 0.298081i
\(699\) −3.38979 1.23935i −0.128214 0.0468764i
\(700\) 13.8880 21.5674i 0.524917 0.815170i
\(701\) −37.2839 −1.40819 −0.704096 0.710105i \(-0.748647\pi\)
−0.704096 + 0.710105i \(0.748647\pi\)
\(702\) −0.305663 + 24.1575i −0.0115365 + 0.911765i
\(703\) −38.2552 22.0866i −1.44282 0.833013i
\(704\) −6.49797 + 10.0614i −0.244901 + 0.379204i
\(705\) −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
\(708\) 4.23080 3.42178i 0.159003 0.128598i
\(709\) −39.5076 + 22.8097i −1.48374 + 0.856637i −0.999829 0.0184810i \(-0.994117\pi\)
−0.483910 + 0.875118i \(0.660784\pi\)
\(710\) −7.90968 0.0657029i −0.296845 0.00246579i
\(711\) 1.35127 0.487392i 0.0506765 0.0182786i
\(712\) −6.89465 12.6603i −0.258388 0.474464i
\(713\) 22.7076 0.850406
\(714\) 13.3037 + 17.2665i 0.497879 + 0.646182i
\(715\) 1.92039i 0.0718186i
\(716\) −32.4669 0.539419i −1.21334 0.0201590i
\(717\) −1.13151 + 0.946663i −0.0422572 + 0.0353538i
\(718\) 0.128102 15.4217i 0.00478074 0.575531i
\(719\) −8.37315 14.5027i −0.312266 0.540860i 0.666587 0.745428i \(-0.267755\pi\)
−0.978853 + 0.204567i \(0.934421\pi\)
\(720\) −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
\(723\) 4.49211 + 25.6936i 0.167063 + 0.955555i
\(724\) 6.01434 + 10.8287i 0.223521 + 0.402445i
\(725\) 10.0301 17.3726i 0.372508 0.645204i
\(726\) 13.6293 + 16.5683i 0.505831 + 0.614909i
\(727\) 14.7144i 0.545726i 0.962053 + 0.272863i \(0.0879705\pi\)
−0.962053 + 0.272863i \(0.912029\pi\)
\(728\) −13.4913 + 20.5738i −0.500019 + 0.762515i
\(729\) 13.7027 23.2645i 0.507508 0.861647i
\(730\) 0.892178 1.51607i 0.0330210 0.0561124i
\(731\) −13.9616 8.06075i −0.516389 0.298137i
\(732\) 23.3290 3.68040i 0.862263 0.136031i
\(733\) −17.1186 29.6503i −0.632290 1.09516i −0.987082 0.160213i \(-0.948782\pi\)
0.354793 0.934945i \(-0.384551\pi\)
\(734\) −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
\(738\) 35.9296 + 30.8410i 1.32259 + 1.13527i
\(739\) 1.92964 + 1.11408i 0.0709829 + 0.0409820i 0.535071 0.844807i \(-0.320285\pi\)
−0.464089 + 0.885789i \(0.653618\pi\)
\(740\) −6.72585 0.111746i −0.247247 0.00410787i
\(741\) 10.0194 27.4044i 0.368070 1.00673i
\(742\) 3.73298 + 0.150128i 0.137042 + 0.00551137i
\(743\) 14.7964i 0.542829i −0.962463 0.271414i \(-0.912509\pi\)
0.962463 0.271414i \(-0.0874914\pi\)
\(744\) 3.00828 + 20.1548i 0.110289 + 0.738912i
\(745\) 6.07486 + 3.50732i 0.222566 + 0.128498i
\(746\) 0.365239 43.9695i 0.0133724 1.60984i
\(747\) 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
\(750\) 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 \(0.601454\pi\)
\(752\) 20.0743 + 0.667231i 0.732034 + 0.0243314i
\(753\) −15.6785 + 13.1172i −0.571356 + 0.478016i
\(754\) −9.75788 + 16.5815i −0.355361 + 0.603863i
\(755\) 6.15772i 0.224103i
\(756\) 24.5047 12.4707i 0.891228 0.453556i
\(757\) 19.9557i 0.725302i −0.931925 0.362651i \(-0.881872\pi\)
0.931925 0.362651i \(-0.118128\pi\)
\(758\) −21.5672 12.6918i −0.783355 0.460988i
\(759\) 10.8574 9.08364i 0.394097 0.329715i
\(760\) 4.82492 + 2.94836i 0.175018 + 0.106948i
\(761\) −18.2013 31.5257i −0.659798 1.14280i −0.980668 0.195681i \(-0.937308\pi\)
0.320869 0.947124i \(-0.396025\pi\)
\(762\) −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
\(765\) −3.87487 0.694825i −0.140096 0.0251215i
\(766\) 49.4825 + 0.411034i 1.78787 + 0.0148513i
\(767\) 4.47235 + 2.58211i 0.161487 + 0.0932347i
\(768\) 11.2234 25.3384i 0.404988 0.914322i
\(769\) 33.7570i 1.21731i −0.793436 0.608654i \(-0.791710\pi\)
0.793436 0.608654i \(-0.208290\pi\)
\(770\) 1.93514 1.01584i 0.0697377 0.0366084i
\(771\) 10.5497 28.8551i 0.379940 1.03919i
\(772\) −26.2897 0.436789i −0.946186 0.0157204i