Properties

Label 168.2.ba.c.101.9
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 101.9
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.717256 + 1.21883i) q^{2} +(-1.70617 - 0.298296i) q^{3} +(-0.971089 - 1.74842i) q^{4} +(-0.337879 + 0.195075i) q^{5} +(1.58733 - 1.86558i) q^{6} +(1.39526 - 2.24795i) q^{7} +(2.82755 + 0.0704754i) q^{8} +(2.82204 + 1.01789i) q^{9} +O(q^{10})\) \(q+(-0.717256 + 1.21883i) q^{2} +(-1.70617 - 0.298296i) q^{3} +(-0.971089 - 1.74842i) 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} +(2.82204 + 1.01789i) q^{9} +(0.00458308 - 0.551736i) q^{10} +(0.748582 - 1.29658i) q^{11} +(1.13530 + 3.27278i) 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} +(-3.26476 + 2.70950i) q^{18} +(-2.56203 - 4.43756i) q^{19} +(0.669184 + 0.401321i) q^{20} +(-3.05110 + 3.41918i) q^{21} +(1.04339 + 1.84237i) q^{22} +(4.72764 - 2.72950i) q^{23} +(-4.80326 - 0.963690i) 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} +(-0.172400 + 0.939988i) q^{30} +(-3.60237 - 2.07983i) q^{31} +(-2.62258 - 5.01219i) q^{32} +(-1.66397 + 1.98889i) 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} +(7.24625 + 0.0601921i) q^{38} +(-5.60934 - 0.980702i) q^{39} +(-0.969118 + 0.527771i) q^{40} -11.1607 q^{41} +(-1.97898 - 6.17120i) q^{42} +4.79323i q^{43} +(-2.99391 - 0.0497422i) q^{44} +(-1.15207 + 0.206585i) q^{45} +(-0.0641268 + 7.71993i) 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} +(-3.73813 + 4.46806i) q^{51} +(-3.19263 - 5.74826i) q^{52} +(0.499243 - 0.864715i) q^{53} +(6.37846 - 3.64900i) 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} +(-1.02203 - 0.884338i) q^{60} +(3.40889 + 5.90437i) q^{61} +(5.11878 - 2.89891i) q^{62} +(6.22563 - 4.92357i) q^{63} +(7.99007 + 0.398545i) q^{64} +(-1.11084 + 0.641343i) q^{65} +(-1.23062 - 3.45464i) 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} +(7.90772 + 3.07701i) q^{72} +(2.76107 + 1.59410i) q^{73} +(-0.101268 + 12.1912i) q^{74} +(5.38791 - 6.43999i) 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} +(0.0518426 - 1.55974i) q^{80} +(6.92781 + 5.74504i) q^{81} +(8.00508 - 13.6030i) q^{82} +17.4548i q^{83} +(8.94106 + 2.01429i) q^{84} +1.31222i q^{85} +(-5.84213 - 3.43797i) q^{86} +(-7.06016 - 1.23435i) q^{87} +(2.20803 - 3.61339i) 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} +(5.52586 + 4.62312i) q^{93} +(-7.10101 - 0.0589856i) q^{94} +(1.73131 + 0.999573i) q^{95} +(2.97945 + 9.33396i) 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
\(3\) −1.70617 0.298296i −0.985058 0.172221i
\(4\) −0.971089 1.74842i −0.485544 0.874212i
\(5\) −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
\(9\) 2.82204 + 1.01789i 0.940680 + 0.339296i
\(10\) 0.00458308 0.551736i 0.00144930 0.174474i
\(11\) 0.748582 1.29658i 0.225706 0.390934i −0.730825 0.682565i \(-0.760864\pi\)
0.956531 + 0.291631i \(0.0941978\pi\)
\(12\) 1.13530 + 3.27278i 0.327732 + 0.944771i
\(13\) 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 −0.586780 0.809746i \(-0.699605\pi\)
0.994651 + 0.103293i \(0.0329381\pi\)
\(18\) −3.26476 + 2.70950i −0.769510 + 0.638635i
\(19\) −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
\(21\) −3.05110 + 3.41918i −0.665805 + 0.746126i
\(22\) 1.04339 + 1.84237i 0.222451 + 0.392795i
\(23\) 4.72764 2.72950i 0.985780 0.569141i 0.0817700 0.996651i \(-0.473943\pi\)
0.904010 + 0.427511i \(0.140609\pi\)
\(24\) −4.80326 0.963690i −0.980461 0.196712i
\(25\) −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 \(-0.374476\pi\)
0.384205 + 0.923248i \(0.374476\pi\)
\(30\) −0.172400 + 0.939988i −0.0314758 + 0.171618i
\(31\) −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
\(33\) −1.66397 + 1.98889i −0.289661 + 0.346222i
\(34\) 2.34398 + 4.13891i 0.401989 + 0.709816i
\(35\) −0.0329110 + 1.03171i −0.00556298 + 0.174391i
\(36\) −0.960750 5.92258i −0.160125 0.987097i
\(37\) 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
\(39\) −5.60934 0.980702i −0.898214 0.157038i
\(40\) −0.969118 + 0.527771i −0.153231 + 0.0834480i
\(41\) −11.1607 −1.74301 −0.871505 0.490387i \(-0.836855\pi\)
−0.871505 + 0.490387i \(0.836855\pi\)
\(42\) −1.97898 6.17120i −0.305363 0.952236i
\(43\) 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
\(45\) −1.15207 + 0.206585i −0.171741 + 0.0307959i
\(46\) −0.0641268 + 7.71993i −0.00945498 + 1.13824i
\(47\) 2.51067 + 4.34861i 0.366219 + 0.634310i 0.988971 0.148109i \(-0.0473187\pi\)
−0.622752 + 0.782419i \(0.713985\pi\)
\(48\) 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
\(51\) −3.73813 + 4.46806i −0.523443 + 0.625653i
\(52\) −3.19263 5.74826i −0.442738 0.797140i
\(53\) 0.499243 0.864715i 0.0685763 0.118778i −0.829699 0.558212i \(-0.811488\pi\)
0.898275 + 0.439434i \(0.144821\pi\)
\(54\) 6.37846 3.64900i 0.867999 0.496566i
\(55\) 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 0.408829 0.912611i \(-0.365937\pi\)
−0.585930 + 0.810362i \(0.699271\pi\)
\(60\) −1.02203 0.884338i −0.131944 0.114168i
\(61\) 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
\(63\) 6.22563 4.92357i 0.784355 0.620312i
\(64\) 7.99007 + 0.398545i 0.998758 + 0.0498181i
\(65\) −1.11084 + 0.641343i −0.137783 + 0.0795488i
\(66\) −1.23062 3.45464i −0.151479 0.425237i
\(67\) 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 \(0.323812\pi\)
−0.525677 + 0.850684i \(0.676188\pi\)
\(72\) 7.90772 + 3.07701i 0.931933 + 0.362630i
\(73\) 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
\(75\) 5.38791 6.43999i 0.622142 0.743626i
\(76\) −5.27078 + 8.78877i −0.604600 + 1.00814i
\(77\) −1.87018 3.49184i −0.213127 0.397932i
\(78\) 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 \(0.841908\pi\)
\(80\) 0.0518426 1.55974i 0.00579618 0.174384i
\(81\) 6.92781 + 5.74504i 0.769756 + 0.638338i
\(82\) 8.00508 13.6030i 0.884013 1.50220i
\(83\) 17.4548i 1.91591i 0.286911 + 0.957957i \(0.407372\pi\)
−0.286911 + 0.957957i \(0.592628\pi\)
\(84\) 8.94106 + 2.01429i 0.975550 + 0.219777i
\(85\) 1.31222i 0.142331i
\(86\) −5.84213 3.43797i −0.629973 0.370726i
\(87\) −7.06016 1.23435i −0.756928 0.132337i
\(88\) 2.20803 3.61339i 0.235377 0.385189i
\(89\) −2.54840 4.41396i −0.270130 0.467879i 0.698765 0.715351i \(-0.253733\pi\)
−0.968895 + 0.247473i \(0.920400\pi\)
\(90\) 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
\(93\) 5.52586 + 4.62312i 0.573005 + 0.479395i
\(94\) −7.10101 0.0589856i −0.732413 0.00608390i
\(95\) 1.73131 + 0.999573i 0.177629 + 0.102554i
\(96\) 2.97945 + 9.33396i 0.304089 + 0.952644i
\(97\) 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 0.712719 0.701450i \(-0.247464\pi\)
−0.251114 + 0.967958i \(0.580797\pi\)
\(102\) −2.76460 7.76088i −0.273737 0.768442i
\(103\) 7.70831 4.45039i 0.759522 0.438510i −0.0696021 0.997575i \(-0.522173\pi\)
0.829124 + 0.559065i \(0.188840\pi\)
\(104\) 9.29608 + 0.231700i 0.911555 + 0.0227201i
\(105\) 0.363908 1.75046i 0.0355138 0.170828i
\(106\) 0.695854 + 1.22871i 0.0675874 + 0.119343i
\(107\) −7.85256 13.6010i −0.759135 1.31486i −0.943292 0.331964i \(-0.892289\pi\)
0.184157 0.982897i \(-0.441045\pi\)
\(108\) −0.127480 + 10.3915i −0.0122668 + 0.999925i
\(109\) −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 \(0.00108718\pi\)
−0.999994 + 0.00341549i \(0.998913\pi\)
\(114\) −12.3454 2.26423i −1.15625 0.212064i
\(115\) −1.06491 + 1.84448i −0.0993037 + 0.171999i
\(116\) −4.01838 7.23500i −0.373097 0.671753i
\(117\) 9.27796 + 3.34649i 0.857748 + 0.309383i
\(118\) 1.93297 1.09469i 0.177944 0.100775i
\(119\) −4.20138 7.84443i −0.385139 0.719098i
\(120\) 1.81091 0.611384i 0.165313 0.0558114i
\(121\) 4.37925 + 7.58508i 0.398114 + 0.689553i
\(122\) −9.64147 0.0800883i −0.872897 0.00725085i
\(123\) 19.0421 + 3.32920i 1.71697 + 0.300183i
\(124\) −0.138202 + 8.31817i −0.0124109 + 0.746994i
\(125\) 3.84211i 0.343649i
\(126\) 1.53563 + 11.1194i 0.136805 + 0.990598i
\(127\) −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
\(129\) 1.42980 8.17807i 0.125887 0.720039i
\(130\) 0.0150677 1.81393i 0.00132152 0.159092i
\(131\) −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
\(135\) 2.02726 0.00881014i 0.174478 0.000758256i
\(136\) 4.96035 8.11751i 0.425347 0.696071i
\(137\) 6.34787 + 3.66494i 0.542335 + 0.313117i 0.746025 0.665918i \(-0.231960\pi\)
−0.203690 + 0.979035i \(0.565293\pi\)
\(138\) 2.41224 13.1524i 0.205343 1.11961i
\(139\) 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
\(144\) −9.42221 + 7.43115i −0.785184 + 0.619262i
\(145\) −1.39815 + 0.807222i −0.116110 + 0.0670361i
\(146\) −3.92333 + 2.22189i −0.324697 + 0.183885i
\(147\) 3.42906 + 11.6293i 0.282824 + 0.959172i
\(148\) −14.7863 8.86763i −1.21543 0.728914i
\(149\) −8.98969 15.5706i −0.736464 1.27559i −0.954078 0.299559i \(-0.903161\pi\)
0.217613 0.976035i \(-0.430173\pi\)
\(150\) 3.98473 + 11.1861i 0.325352 + 0.913338i
\(151\) −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
\(156\) 3.73249 + 10.7599i 0.298838 + 0.861478i
\(157\) −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
\(159\) −1.10974 + 1.32643i −0.0880077 + 0.105193i
\(160\) 1.86387 + 1.18192i 0.147352 + 0.0934387i
\(161\) 0.460494 14.4358i 0.0362920 1.13770i
\(162\) −11.9712 + 4.32315i −0.940549 + 0.339659i
\(163\) −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
\(165\) 0.174240 0.996605i 0.0135646 0.0775856i
\(166\) −21.2744 12.5196i −1.65122 0.971706i
\(167\) 7.43145 0.575063 0.287531 0.957771i \(-0.407165\pi\)
0.287531 + 0.957771i \(0.407165\pi\)
\(168\) −8.86810 + 9.45287i −0.684189 + 0.729305i
\(169\) −2.19116 −0.168551
\(170\) −1.59938 0.941200i −0.122667 0.0721868i
\(171\) −2.71320 15.1308i −0.207483 1.15708i
\(172\) 8.38060 4.65465i 0.639014 0.354914i
\(173\) −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
\(177\) 2.08669 + 1.74579i 0.156845 + 0.131222i
\(178\) 7.20771 + 0.0598720i 0.540241 + 0.00448759i
\(179\) −8.11784 + 14.0605i −0.606756 + 1.05093i 0.385016 + 0.922910i \(0.374196\pi\)
−0.991771 + 0.128022i \(0.959137\pi\)
\(180\) 1.47996 + 1.81370i 0.110310 + 0.135185i
\(181\) −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
\(186\) −9.59824 + 3.41912i −0.703777 + 0.250702i
\(187\) −2.51777 4.36091i −0.184118 0.318901i
\(188\) 5.16513 8.61261i 0.376706 0.628139i
\(189\) −12.0907 + 6.54338i −0.879467 + 0.475961i
\(190\) −2.46010 + 1.39322i −0.178475 + 0.101075i
\(191\) 7.28788 4.20766i 0.527333 0.304456i −0.212597 0.977140i \(-0.568192\pi\)
0.739930 + 0.672684i \(0.234859\pi\)
\(192\) −13.5135 3.06339i −0.975255 0.221081i
\(193\) 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 \(-0.284120\pi\)
0.627398 + 0.778699i \(0.284120\pi\)
\(198\) 1.06915 + 6.26130i 0.0759810 + 0.444971i
\(199\) 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
\(201\) −4.68570 3.92022i −0.330504 0.276511i
\(202\) −6.59187 + 3.73316i −0.463803 + 0.262664i
\(203\) 5.77359 9.30203i 0.405227 0.652874i
\(204\) 11.4421 + 2.19695i 0.801108 + 0.153818i
\(205\) 3.77097 2.17717i 0.263376 0.152060i
\(206\) −0.104557 + 12.5872i −0.00728485 + 0.876990i
\(207\) 16.1199 2.89055i 1.12041 0.200907i
\(208\) −6.95007 + 11.1641i −0.481900 + 0.774094i
\(209\) −7.67154 −0.530652
\(210\) 1.87250 + 1.69907i 0.129215 + 0.117247i
\(211\) 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
\(213\) 4.27637 24.4596i 0.293012 1.67595i
\(214\) 22.2096 + 0.184488i 1.51822 + 0.0126113i
\(215\) −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
\(219\) −4.23534 3.54343i −0.286198 0.239443i
\(220\) 1.02129 0.567230i 0.0688550 0.0382426i
\(221\) 5.52887 9.57629i 0.371912 0.644171i
\(222\) 3.80937 20.7700i 0.255668 1.39399i
\(223\) 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 0.887481 0.460844i \(-0.152453\pi\)
0.0446379 + 0.999003i \(0.485787\pi\)
\(228\) 11.6145 13.4229i 0.769190 0.888953i
\(229\) 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
\(231\) 2.14925 + 6.51554i 0.141410 + 0.428691i
\(232\) 11.7004 + 0.291628i 0.768171 + 0.0191463i
\(233\) 1.80462 1.04190i 0.118225 0.0682572i −0.439721 0.898134i \(-0.644923\pi\)
0.557946 + 0.829877i \(0.311589\pi\)
\(234\) −10.7335 + 8.90796i −0.701669 + 0.582331i
\(235\) −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 \(-0.991230\pi\)
0.999620 0.0275480i \(-0.00876990\pi\)
\(240\) −0.553716 + 2.64571i −0.0357422 + 0.170780i
\(241\) 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
\(243\) −10.1063 11.8686i −0.648319 0.761369i
\(244\) 7.01301 11.6939i 0.448962 0.748622i
\(245\) 2.27332 + 1.51349i 0.145237 + 0.0966932i
\(246\) −17.7158 + 20.8211i −1.12952 + 1.32751i
\(247\) −8.42312 14.5893i −0.535950 0.928293i
\(248\) −10.0393 6.13470i −0.637496 0.389554i
\(249\) 5.20670 29.7809i 0.329961 1.88729i
\(250\) 4.68287 + 2.75577i 0.296171 + 0.174290i
\(251\) 11.8022i 0.744948i −0.928043 0.372474i \(-0.878510\pi\)
0.928043 0.372474i \(-0.121490\pi\)
\(252\) −14.6541 6.10381i −0.923123 0.384504i
\(253\) 8.17302i 0.513834i
\(254\) 6.32316 10.7449i 0.396750 0.674196i
\(255\) 0.391432 2.23888i 0.0245124 0.140204i
\(256\) −7.06224 14.3570i −0.441390 0.897315i
\(257\) 8.86901 + 15.3616i 0.553233 + 0.958228i 0.998039 + 0.0626011i \(0.0199396\pi\)
−0.444805 + 0.895627i \(0.646727\pi\)
\(258\) 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
\(261\) 11.6776 + 4.21204i 0.722827 + 0.260719i
\(262\) 0.0591649 7.12259i 0.00365522 0.440035i
\(263\) −6.27815 3.62469i −0.387128 0.223508i 0.293787 0.955871i \(-0.405084\pi\)
−0.680915 + 0.732363i \(0.738418\pi\)
\(264\) −4.84514 + 5.50642i −0.298198 + 0.338897i
\(265\) 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 0.587463 0.809251i \(-0.300127\pi\)
−0.407100 + 0.913383i \(0.633460\pi\)
\(270\) −1.44332 + 2.47720i −0.0878379 + 0.150758i
\(271\) 3.96989 2.29201i 0.241153 0.139230i −0.374553 0.927205i \(-0.622204\pi\)
0.615707 + 0.787975i \(0.288871\pi\)
\(272\) 6.33602 + 11.8682i 0.384177 + 0.719612i
\(273\) −10.0310 + 11.2412i −0.607106 + 0.680346i
\(274\) −9.01998 + 5.10826i −0.544917 + 0.308601i
\(275\) 3.62896 + 6.28555i 0.218835 + 0.379033i
\(276\) 14.3003 + 12.3737i 0.860779 + 0.744811i
\(277\) −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 \(-0.924129\pi\)
0.971728 0.236104i \(-0.0758706\pi\)
\(282\) 12.0979 + 2.21884i 0.720422 + 0.132130i
\(283\) −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
\(285\) −2.65574 2.22189i −0.157313 0.131613i
\(286\) 3.43032 + 6.05714i 0.202839 + 0.358166i
\(287\) −15.5720 + 25.0887i −0.919189 + 1.48094i
\(288\) −2.29917 16.8141i −0.135480 0.990780i
\(289\) 2.84381 + 4.92562i 0.167283 + 0.289742i
\(290\) 0.0189648 2.28309i 0.00111365 0.134068i
\(291\) −2.68489 + 15.3568i −0.157391 + 0.900232i
\(292\) 0.105926 6.37554i 0.00619885 0.373100i
\(293\) 12.8246i 0.749220i 0.927183 + 0.374610i \(0.122223\pi\)
−0.927183 + 0.374610i \(0.877777\pi\)
\(294\) −16.6337 4.16177i −0.970097 0.242719i
\(295\) 0.612840 0.0356809
\(296\) 21.4137 11.6617i 1.24465 0.677821i
\(297\) −6.72027 + 3.91899i −0.389950 + 0.227403i
\(298\) 25.4258 + 0.211203i 1.47288 + 0.0122347i
\(299\) 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
\(303\) −7.11610 5.95357i −0.408809 0.342024i
\(304\) 20.4849 + 0.680878i 1.17489 + 0.0390511i
\(305\) −2.30359 1.32998i −0.131903 0.0761542i
\(306\) 2.40185 + 14.0661i 0.137304 + 0.804103i
\(307\) −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 −0.885739 0.464184i \(-0.846348\pi\)
0.844865 + 0.534980i \(0.179681\pi\)
\(312\) −15.7916 3.16830i −0.894022 0.179370i
\(313\) −20.8822 + 12.0564i −1.18033 + 0.681466i −0.956092 0.293067i \(-0.905324\pi\)
−0.224242 + 0.974533i \(0.571991\pi\)
\(314\) −3.53017 6.23345i −0.199219 0.351774i
\(315\) −1.14305 + 2.87804i −0.0644033 + 0.162159i
\(316\) −0.492538 + 0.821284i −0.0277074 + 0.0462008i
\(317\) 13.4686 + 23.3283i 0.756472 + 1.31025i 0.944639 + 0.328111i \(0.106412\pi\)
−0.188167 + 0.982137i \(0.560255\pi\)
\(318\) −0.820726 2.30397i −0.0460240 0.129200i
\(319\) 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
\(324\) 3.31726 17.6917i 0.184292 0.982872i
\(325\) −7.96898 + 13.8027i −0.442039 + 0.765635i
\(326\) 0.147504 17.7574i 0.00816952 0.983491i
\(327\) 23.2519 + 19.4533i 1.28583 + 1.07577i
\(328\) −31.5574 0.786555i −1.74247 0.0434302i
\(329\) 13.2785 + 0.423575i 0.732066 + 0.0233524i
\(330\) 1.08972 + 0.927189i 0.0599869 + 0.0510401i
\(331\) −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
\(333\) 25.4563 4.56471i 1.39500 0.250145i
\(334\) −5.33025 + 9.05766i −0.291658 + 0.495613i
\(335\) −1.37615 −0.0751868
\(336\) −5.16074 17.5888i −0.281541 0.959549i
\(337\) 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
\(339\) 0.0216605 0.123892i 0.00117644 0.00672890i
\(340\) 2.29432 1.27429i 0.124427 0.0691079i
\(341\) −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
\(345\) 2.36713 2.82935i 0.127442 0.152327i
\(346\) 0.206781 24.8934i 0.0111166 1.33828i
\(347\) 10.8299 18.7579i 0.581377 1.00697i −0.413940 0.910304i \(-0.635848\pi\)
0.995316 0.0966701i \(-0.0308192\pi\)
\(348\) 4.69787 + 13.5428i 0.251832 + 0.725971i
\(349\) 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 \(0.460537\pi\)
−0.921208 + 0.389071i \(0.872796\pi\)
\(354\) −3.62451 + 1.29114i −0.192641 + 0.0686231i
\(355\) −2.79659 4.84383i −0.148428 0.257084i
\(356\) −5.24275 + 8.74203i −0.277865 + 0.463327i
\(357\) 4.82830 + 14.6372i 0.255541 + 0.774683i
\(358\) −11.3148 19.9792i −0.598005 1.05594i
\(359\) −9.44412 + 5.45257i −0.498442 + 0.287775i −0.728070 0.685503i \(-0.759582\pi\)
0.229628 + 0.973278i \(0.426249\pi\)
\(360\) −3.27210 + 0.502936i −0.172455 + 0.0265071i
\(361\) −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
\(366\) 16.4261 + 3.01266i 0.858606 + 0.157474i
\(367\) −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
\(369\) −31.4959 11.3604i −1.63961 0.591396i
\(370\) −2.34398 4.13891i −0.121858 0.215171i
\(371\) −1.24726 2.32877i −0.0647545 0.120904i
\(372\) 2.71708 14.1510i 0.140874 0.733695i
\(373\) 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
\(375\) −1.14609 + 6.55529i −0.0591836 + 0.338514i
\(376\) 6.79258 + 12.4729i 0.350301 + 0.643238i
\(377\) 13.6045 0.700665
\(378\) 0.696839 19.4297i 0.0358415 0.999357i
\(379\) 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
\(381\) 15.0412 + 2.62971i 0.770585 + 0.134724i
\(382\) −0.0988546 + 11.9007i −0.00505784 + 0.608890i
\(383\) −17.4953 30.3028i −0.893968 1.54840i −0.835076 0.550134i \(-0.814577\pi\)
−0.0588917 0.998264i \(-0.518757\pi\)
\(384\) 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
\(387\) −4.87897 + 13.5267i −0.248012 + 0.687600i
\(388\) −15.7371 + 8.74052i −0.798931 + 0.443733i
\(389\) −10.4422 + 18.0864i −0.529439 + 0.917015i 0.469971 + 0.882682i \(0.344264\pi\)
−0.999410 + 0.0343338i \(0.989069\pi\)
\(390\) −0.566797 + 3.09038i −0.0287009 + 0.156487i
\(391\) 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
\(396\) −8.39831 3.18785i −0.422031 0.160195i
\(397\) 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
\(399\) 22.9898 + 4.77941i 1.15093 + 0.239270i
\(400\) −9.13235 17.1060i −0.456617 0.855301i
\(401\) −6.62355 + 3.82411i −0.330764 + 0.190967i −0.656180 0.754604i \(-0.727829\pi\)
0.325416 + 0.945571i \(0.394496\pi\)
\(402\) 8.13893 2.89927i 0.405933 0.144603i
\(403\) −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
\(408\) −10.8846 + 12.3702i −0.538870 + 0.612416i
\(409\) −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
\(411\) −9.73731 8.14656i −0.480306 0.401840i
\(412\) −15.2666 9.15566i −0.752133 0.451067i
\(413\) −3.66354 + 1.96214i −0.180271 + 0.0965507i
\(414\) −8.03900 + 21.7207i −0.395095 + 1.06751i
\(415\) −3.40499 5.89762i −0.167145 0.289503i
\(416\) −8.62221 16.4785i −0.422738 0.807924i
\(417\) −26.8716 4.69807i −1.31591 0.230065i
\(418\) 5.50246 9.35030i 0.269134 0.457338i
\(419\) 4.38235i 0.214092i 0.994254 + 0.107046i \(0.0341392\pi\)
−0.994254 + 0.107046i \(0.965861\pi\)
\(420\) −3.41394 + 1.06359i −0.166583 + 0.0518978i
\(421\) 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
\(423\) 2.65881 + 14.8275i 0.129276 + 0.720940i
\(424\) 1.47258 2.40984i 0.0715146 0.117032i
\(425\) 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
\(429\) −5.47061 + 6.53884i −0.264124 + 0.315698i
\(430\) 2.64460 + 0.0219677i 0.127534 + 0.00105938i
\(431\) 0.588922 + 0.340014i 0.0283674 + 0.0163779i 0.514117 0.857720i \(-0.328120\pi\)
−0.485749 + 0.874098i \(0.661453\pi\)
\(432\) 18.2926 9.86820i 0.880102 0.474784i
\(433\) 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
\(438\) 7.35666 2.62061i 0.351515 0.125218i
\(439\) 3.29894 1.90465i 0.157450 0.0909038i −0.419205 0.907892i \(-0.637691\pi\)
0.576655 + 0.816988i \(0.304358\pi\)
\(440\) −0.0411659 + 1.65162i −0.00196251 + 0.0787380i
\(441\) −2.38158 20.8645i −0.113409 0.993548i
\(442\) 7.70624 + 13.6074i 0.366549 + 0.647238i
\(443\) −3.02001 5.23080i −0.143485 0.248523i 0.785322 0.619088i \(-0.212497\pi\)
−0.928807 + 0.370565i \(0.879164\pi\)
\(444\) 22.5828 + 19.5404i 1.07173 + 0.927346i
\(445\) 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 \(-0.768774\pi\)
0.747558 0.664197i \(-0.231226\pi\)
\(450\) −3.46188 20.2740i −0.163194 0.955724i
\(451\) −8.35470 + 14.4708i −0.393408 + 0.681402i
\(452\) 0.126960 0.0705149i 0.00597172 0.00331674i
\(453\) 17.5415 20.9667i 0.824171 0.985103i
\(454\) −19.9555 + 11.3013i −0.936557 + 0.530398i
\(455\) −0.108201 + 3.39194i −0.00507254 + 0.159017i
\(456\) 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 \(0.927511\pi\)
\(458\) −29.1742 0.242340i −1.36322 0.0113238i
\(459\) −15.0971 + 8.80403i −0.704674 + 0.410937i
\(460\) 4.25907 + 0.0707621i 0.198580 + 0.00329930i
\(461\) 31.6209i 1.47273i −0.676583 0.736367i \(-0.736540\pi\)
0.676583 0.736367i \(-0.263460\pi\)
\(462\) −9.48289 2.05374i −0.441184 0.0955486i
\(463\) 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
\(465\) −2.76893 0.484102i −0.128406 0.0224497i
\(466\) −0.0244784 + 2.94684i −0.00113394 + 0.136510i
\(467\) 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
\(471\) 5.62985 6.72917i 0.259410 0.310064i
\(472\) −3.79107 2.31660i −0.174498 0.106630i
\(473\) 6.21481 + 3.58812i 0.285757 + 0.164982i
\(474\) −1.15364 0.211585i −0.0529884 0.00971843i
\(475\) 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 \(-0.543097\pi\)
0.925589 0.378529i \(-0.123570\pi\)
\(480\) −2.82752 2.57254i −0.129058 0.117420i
\(481\) 24.5452 14.1712i 1.11916 0.646150i
\(482\) −18.5315 + 10.4949i −0.844087 + 0.478030i
\(483\) −5.09183 + 24.4926i −0.231686 + 1.11445i
\(484\) 9.00930 15.0226i 0.409514 0.682844i
\(485\) 1.75582 + 3.04117i 0.0797276 + 0.138092i
\(486\) 21.7145 3.80506i 0.984992 0.172601i
\(487\) −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 \(-0.612744\pi\)
−0.346837 + 0.937925i \(0.612744\pi\)
\(492\) −12.6707 36.5266i −0.571239 1.64674i
\(493\) 6.95887 12.0531i 0.313412 0.542845i
\(494\) 23.8234 + 0.197892i 1.07186 + 0.00890360i
\(495\) −0.594567 + 1.64840i −0.0267238 + 0.0740902i
\(496\) 14.6779 7.83605i 0.659057 0.351849i
\(497\) 32.2265 + 20.0024i 1.44556 + 0.897229i
\(498\) 32.5633 + 27.7066i 1.45920 + 1.24156i
\(499\) 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
\(501\) −12.6793 2.21677i −0.566470 0.0990381i
\(502\) 14.3849 + 8.46519i 0.642028 + 0.377820i
\(503\) 28.3616 1.26458 0.632291 0.774731i \(-0.282115\pi\)
0.632291 + 0.774731i \(0.282115\pi\)
\(504\) 17.9503 13.4829i 0.799568 0.600576i
\(505\) −2.08993 −0.0930006
\(506\) 9.96152 + 5.86215i 0.442844 + 0.260604i
\(507\) 3.73850 + 0.653615i 0.166032 + 0.0290281i
\(508\) 8.56090 + 15.4137i 0.379828 + 0.683873i
\(509\) −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
\(513\) 0.115709 + 26.6251i 0.00510866 + 1.17553i
\(514\) −25.0845 0.208368i −1.10643 0.00919072i
\(515\) −1.73632 + 3.00739i −0.0765113 + 0.132522i
\(516\) −15.6872 + 5.44173i −0.690590 + 0.239559i
\(517\) 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 −0.706974 0.707239i \(-0.749940\pi\)
0.965974 + 0.258638i \(0.0832737\pi\)
\(522\) −13.5096 + 11.2119i −0.591299 + 0.490733i
\(523\) 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
\(525\) −6.95922 21.0972i −0.303725 0.920756i
\(526\) 8.92092 5.05217i 0.388971 0.220285i
\(527\) −12.1162 + 6.99528i −0.527789 + 0.304719i
\(528\) −3.23618 9.85490i −0.140837 0.428880i
\(529\) 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
\(534\) −12.2797 2.25219i −0.531396 0.0974616i
\(535\) 5.30643 + 3.06367i 0.229417 + 0.132454i
\(536\) 8.51293 + 5.20198i 0.367702 + 0.224691i
\(537\) 18.0446 21.5681i 0.778683 0.930733i
\(538\) −4.20340 + 2.38050i −0.181221 + 0.102631i
\(539\) −10.4588 0.667940i −0.450494 0.0287702i
\(540\) −1.98405 3.53595i −0.0853799 0.152163i
\(541\) −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
\(543\) 10.5670 + 1.84747i 0.453473 + 0.0792824i
\(544\) −19.0098 0.789975i −0.815038 0.0338699i
\(545\) 6.82885 0.292516
\(546\) −6.50624 20.2889i −0.278442 0.868285i
\(547\) 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
\(549\) 3.61003 + 20.1322i 0.154072 + 0.859223i
\(550\) −10.2639 0.0852587i −0.437654 0.00363544i
\(551\) −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
\(555\) 3.73813 4.46806i 0.158675 0.189658i
\(556\) −15.2943 27.5371i −0.648624 1.16783i
\(557\) 1.46808 2.54278i 0.0622044 0.107741i −0.833246 0.552902i \(-0.813520\pi\)
0.895450 + 0.445161i \(0.146854\pi\)
\(558\) 17.3962 2.97048i 0.736438 0.125750i
\(559\) 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 0.164987 0.986296i \(-0.447242\pi\)
−0.771664 + 0.636031i \(0.780575\pi\)
\(564\) −11.3817 + 13.1538i −0.479256 + 0.553877i
\(565\) −0.0141652 0.0245348i −0.000595934 0.00103219i
\(566\) −15.8271 27.9470i −0.665264 1.17470i
\(567\) 22.5806 7.55752i 0.948296 0.317386i
\(568\) −1.01033 + 40.5357i −0.0423927 + 1.70084i
\(569\) −19.2204 + 11.0969i −0.805763 + 0.465207i −0.845482 0.534003i \(-0.820687\pi\)
0.0397194 + 0.999211i \(0.487354\pi\)
\(570\) 4.61295 1.64324i 0.193215 0.0688277i
\(571\) 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
\(576\) 22.1426 + 9.25771i 0.922608 + 0.385738i
\(577\) −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
\(579\) −14.6114 + 17.4645i −0.607230 + 0.725801i
\(580\) 2.76909 + 1.66067i 0.114980 + 0.0689557i
\(581\) 39.2375 + 24.3539i 1.62784 + 1.01037i
\(582\) −16.7916 14.2872i −0.696033 0.592222i
\(583\) −0.747449 1.29462i −0.0309562 0.0536177i
\(584\) 7.69472 + 4.70200i 0.318410 + 0.194570i
\(585\) −3.78765 + 0.679185i −0.156600 + 0.0280808i
\(586\) −15.6310 9.19850i −0.645709 0.379986i
\(587\) 0.369829i 0.0152645i 0.999971 + 0.00763224i \(0.00242944\pi\)
−0.999971 + 0.00763224i \(0.997571\pi\)
\(588\) 17.0031 17.2886i 0.701196 0.712969i
\(589\) 21.3143i 0.878241i
\(590\) −0.439563 + 0.746947i −0.0180965 + 0.0307513i
\(591\) −30.0489 5.25356i −1.23605 0.216103i
\(592\) −1.14552 + 34.4640i −0.0470805 + 1.41646i
\(593\) −4.89233 8.47376i −0.200904 0.347976i 0.747916 0.663793i \(-0.231055\pi\)
−0.948820 + 0.315818i \(0.897721\pi\)
\(594\) 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
\(597\) −26.4895 22.1620i −1.08414 0.907032i
\(598\) −0.210828 + 25.3807i −0.00862141 + 1.03789i
\(599\) −31.2524 18.0436i −1.27694 0.737240i −0.300653 0.953734i \(-0.597205\pi\)
−0.976284 + 0.216494i \(0.930538\pi\)
\(600\) 15.6884 17.8297i 0.640478 0.727893i
\(601\) 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
\(606\) 12.3605 4.40308i 0.502109 0.178863i
\(607\) −7.33740 + 4.23625i −0.297816 + 0.171944i −0.641461 0.767155i \(-0.721672\pi\)
0.343645 + 0.939099i \(0.388338\pi\)
\(608\) −15.5228 + 24.4792i −0.629532 + 0.992764i
\(609\) −12.6255 + 14.1486i −0.511611 + 0.573331i
\(610\) 3.27328 1.85375i 0.132531 0.0750560i
\(611\) 8.25429 + 14.2968i 0.333933 + 0.578388i
\(612\) −18.8669 7.16152i −0.762648 0.289487i
\(613\) −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 \(-0.885246\pi\)
0.935717 0.352753i \(-0.114754\pi\)
\(618\) 3.93310 21.4447i 0.158212 0.862632i
\(619\) 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
\(621\) −28.3655 + 0.123272i −1.13827 + 0.00494674i
\(622\) −1.00469 1.77405i −0.0402844 0.0711328i
\(623\) −13.4780 0.429940i −0.539985 0.0172252i
\(624\) 15.1882 16.9748i 0.608015 0.679534i
\(625\) −11.3700 19.6933i −0.454798 0.787734i
\(626\) 0.283252 34.0994i 0.0113210 1.36289i
\(627\) 13.0890 + 2.28839i 0.522723 + 0.0913896i
\(628\) 10.1295 + 0.168297i 0.404213 + 0.00671577i
\(629\) 28.9950i 1.15611i
\(630\) −2.68798 3.45747i −0.107092 0.137749i
\(631\) −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
\(633\) 4.33003 24.7666i 0.172103 0.984383i
\(634\) −38.0937 0.316431i −1.51289 0.0125671i
\(635\) 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
\(639\) −14.5924 + 40.4567i −0.577268 + 1.60044i
\(640\) 0.256511 4.40658i 0.0101395 0.174185i
\(641\) 11.9401 + 6.89362i 0.471606 + 0.272282i 0.716912 0.697164i \(-0.245555\pi\)
−0.245306 + 0.969446i \(0.578888\pi\)
\(642\) −37.8384 6.93981i −1.49336 0.273893i
\(643\) 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 \(0.385217\pi\)
−0.986746 + 0.162275i \(0.948117\pi\)
\(648\) 19.1838 + 16.7326i 0.753612 + 0.657320i
\(649\) −2.03665 + 1.17586i −0.0799454 + 0.0461565i
\(650\) −11.1073 19.6129i −0.435665 0.769280i
\(651\) 18.1025 5.97139i 0.709493 0.234037i
\(652\) 21.5374 + 12.9164i 0.843471 + 0.505844i
\(653\) 9.95455 + 17.2418i 0.389552 + 0.674723i 0.992389 0.123141i \(-0.0392966\pi\)
−0.602838 + 0.797864i \(0.705963\pi\)
\(654\) −40.3878 + 14.3871i −1.57929 + 0.562579i
\(655\) 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 \(-0.428553\pi\)
0.222576 + 0.974915i \(0.428553\pi\)
\(660\) −1.91169 + 0.663146i −0.0744124 + 0.0258129i
\(661\) −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
\(663\) −12.2898 + 14.6895i −0.477295 + 0.570495i
\(664\) −1.23013 + 49.3543i −0.0477385 + 1.91532i
\(665\) 4.66261 2.49723i 0.180808 0.0968385i
\(666\) −12.6951 + 34.3009i −0.491923 + 1.32913i
\(667\) 19.5630 11.2947i 0.757483 0.437333i
\(668\) −7.21660 12.9933i −0.279218 0.502727i
\(669\) −0.828955 + 4.74139i −0.0320493 + 0.183313i
\(670\) 0.987048 1.67729i 0.0381330 0.0647992i
\(671\) 10.2073 0.394050
\(672\) 25.1393 + 6.32562i 0.969771 + 0.244016i
\(673\) 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
\(675\) 21.7601 12.6896i 0.837546 0.488423i
\(676\) 2.12781 + 3.83108i 0.0818389 + 0.147349i
\(677\) 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
\(681\) −21.5425 18.0232i −0.825509 0.690649i
\(682\) 0.0731565 8.80698i 0.00280131 0.337237i
\(683\) −6.73357 + 11.6629i −0.257653 + 0.446268i −0.965613 0.259985i \(-0.916282\pi\)
0.707960 + 0.706253i \(0.249616\pi\)
\(684\) −23.8203 + 19.4372i −0.910793 + 0.743199i
\(685\) −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
\(690\) 1.75065 + 4.91449i 0.0666463 + 0.187091i
\(691\) 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
\(693\) −1.72342 11.7577i −0.0654675 0.446639i
\(694\) 15.0948 + 26.6539i 0.572993 + 1.01177i
\(695\) −5.32149 + 3.07236i −0.201856 + 0.116541i
\(696\) −19.8760 3.98776i −0.753396 0.151156i
\(697\) −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 \(-0.251353\pi\)
0.704096 + 0.710105i \(0.251353\pi\)
\(702\) 20.9703 11.9967i 0.791475 0.452788i
\(703\) −38.2552 22.0866i −1.44282 0.833013i
\(704\) 6.49797 10.0614i 0.244901 0.379204i
\(705\) 2.60251 + 2.17735i 0.0980163 + 0.0820038i
\(706\) −20.8858 36.8793i −0.786047 1.38797i
\(707\) 12.4935 6.69137i 0.469867 0.251655i
\(708\) 1.02603 5.34374i 0.0385605 0.200830i
\(709\) −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
\(711\) −0.253540 1.41393i −0.00950848 0.0530265i
\(712\) −6.89465 12.6603i −0.258388 0.474464i
\(713\) −22.7076 −0.850406
\(714\) −21.3034 4.61374i −0.797259 0.172665i
\(715\) 1.92039i 0.0718186i
\(716\) 32.4669 + 0.539419i 1.21334 + 0.0201590i
\(717\) −0.254077 + 1.45325i −0.00948869 + 0.0542727i
\(718\) 0.128102 15.4217i 0.00478074 0.575531i
\(719\) 8.37315 + 14.5027i 0.312266 + 0.540860i 0.978853 0.204567i \(-0.0655787\pi\)
−0.666587 + 0.745428i \(0.732245\pi\)
\(720\) 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
\(723\) −20.0053 16.7371i −0.744003 0.622458i
\(724\) 6.01434 + 10.8287i 0.223521 + 0.402445i
\(725\) −10.0301 + 17.3726i −0.372508 + 0.645204i
\(726\) 21.1019 + 3.87023i 0.783164 + 0.143638i
\(727\) 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
\(732\) −15.4536 + 17.8598i −0.571182 + 0.660116i
\(733\) −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
\(735\) −3.42720 3.26039i −0.126414 0.120261i
\(736\) −26.0794 16.5375i −0.961299 0.609580i
\(737\) 4.57334 2.64042i 0.168461 0.0972610i
\(738\) 36.4370 30.2399i 1.34126 1.11315i
\(739\) 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 \(0.0874914\pi\)
−0.962463 + 0.271414i \(0.912509\pi\)
\(744\) 15.2988 + 13.4615i 0.560882 + 0.493524i
\(745\) 6.07486 + 3.50732i 0.222566 + 0.128498i
\(746\) −0.365239 + 43.9695i −0.0133724 + 1.60984i
\(747\) −17.7671 + 49.2582i −0.650063 + 1.80226i
\(748\) −5.17974 + 8.63696i −0.189390 + 0.315799i
\(749\) −41.5307 1.32480i −1.51750 0.0484073i
\(750\) −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 \(0.601454\pi\)
\(752\) −20.0743 0.667231i −0.732034 0.0243314i
\(753\) −3.52055 + 20.1366i −0.128296 + 0.733817i
\(754\) −9.75788 + 16.5815i −0.355361 + 0.603863i
\(755\) 6.15772i 0.224103i
\(756\) 23.1817 + 14.7854i 0.843111 + 0.537740i
\(757\) 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
\(759\) −2.43798 + 13.9446i −0.0884931 + 0.506156i
\(760\) 4.82492 + 2.94836i 0.175018 + 0.106948i
\(761\) 18.2013 + 31.5257i 0.659798 + 1.14280i 0.980668 + 0.195681i \(0.0626917\pi\)
−0.320869 + 0.947124i \(0.603975\pi\)
\(762\) −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
\(765\) −1.33570 + 3.70315i −0.0482923 + 0.133888i
\(766\) 49.4825 + 0.411034i 1.78787 + 0.0148513i
\(767\) −4.47235 2.58211i −0.161487 0.0932347i
\(768\) 7.76673 + 26.6022i 0.280258 + 0.959925i
\(769\) 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