Properties

Label 576.2.bl.a.11.18
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18516 - 0.771613i) q^{2} +(-0.450297 - 1.67249i) q^{3} +(0.809226 + 1.82898i) q^{4} +(-3.24873 - 1.60210i) q^{5} +(-0.756842 + 2.32963i) q^{6} +(1.96855 + 2.56546i) q^{7} +(0.452197 - 2.79205i) q^{8} +(-2.59447 + 1.50624i) q^{9} +O(q^{10})\) \(q+(-1.18516 - 0.771613i) q^{2} +(-0.450297 - 1.67249i) q^{3} +(0.809226 + 1.82898i) q^{4} +(-3.24873 - 1.60210i) q^{5} +(-0.756842 + 2.32963i) q^{6} +(1.96855 + 2.56546i) q^{7} +(0.452197 - 2.79205i) q^{8} +(-2.59447 + 1.50624i) q^{9} +(2.61408 + 4.40551i) q^{10} +(4.16177 + 3.64978i) q^{11} +(2.69456 - 2.17701i) q^{12} +(4.89891 + 0.321091i) q^{13} +(-0.353508 - 4.55945i) q^{14} +(-1.21660 + 6.15490i) q^{15} +(-2.69031 + 2.96011i) q^{16} +(-1.39317 - 1.39317i) q^{17} +(4.23710 + 0.216787i) q^{18} +(2.51433 - 3.76296i) q^{19} +(0.301239 - 7.23831i) q^{20} +(3.40429 - 4.44761i) q^{21} +(-2.11617 - 7.53686i) q^{22} +(-0.984046 + 1.28243i) q^{23} +(-4.87330 + 0.500953i) q^{24} +(4.94374 + 6.44281i) q^{25} +(-5.55825 - 4.16061i) q^{26} +(3.68745 + 3.66097i) q^{27} +(-3.09917 + 5.67647i) q^{28} +(0.345628 - 1.01819i) q^{29} +(6.19108 - 6.35582i) q^{30} +(-4.41373 - 7.64480i) q^{31} +(5.47251 - 1.43234i) q^{32} +(4.23019 - 8.60402i) q^{33} +(0.576146 + 2.72612i) q^{34} +(-2.28517 - 11.4883i) q^{35} +(-4.85438 - 3.52633i) q^{36} +(-3.61737 + 2.41705i) q^{37} +(-5.88344 + 2.51963i) q^{38} +(-1.66894 - 8.33797i) q^{39} +(-5.94220 + 8.34615i) q^{40} +(3.15074 + 2.41765i) q^{41} +(-7.46647 + 2.64435i) q^{42} +(1.41288 + 1.23906i) q^{43} +(-3.30754 + 10.5653i) q^{44} +(10.8419 - 0.736773i) q^{45} +(2.15580 - 0.760591i) q^{46} +(2.50570 + 9.35139i) q^{47} +(6.16220 + 3.16659i) q^{48} +(-0.894684 + 3.33901i) q^{49} +(-0.887786 - 11.4504i) q^{50} +(-1.70273 + 2.95740i) q^{51} +(3.37705 + 9.21982i) q^{52} +(9.78530 + 1.94642i) q^{53} +(-1.54538 - 7.18414i) q^{54} +(-7.67319 - 18.5247i) q^{55} +(8.05306 - 4.33619i) q^{56} +(-7.42571 - 2.51075i) q^{57} +(-1.19527 + 0.940028i) q^{58} +(4.70699 - 9.54483i) q^{59} +(-12.2417 + 2.75557i) q^{60} +(-0.902443 + 2.65851i) q^{61} +(-0.667840 + 12.4660i) q^{62} +(-8.97153 - 3.69091i) q^{63} +(-7.59104 - 2.52511i) q^{64} +(-15.4008 - 8.89167i) q^{65} +(-11.6525 + 6.93310i) q^{66} +(10.0001 - 8.76990i) q^{67} +(1.42068 - 3.67546i) q^{68} +(2.58797 + 1.06833i) q^{69} +(-6.15624 + 15.3788i) q^{70} +(-5.06112 - 2.09639i) q^{71} +(3.03227 + 7.92498i) q^{72} +(4.94304 - 2.04748i) q^{73} +(6.15220 - 0.0733886i) q^{74} +(8.54941 - 11.1696i) q^{75} +(8.91702 + 1.55356i) q^{76} +(-1.17071 + 17.8617i) q^{77} +(-4.45573 + 11.1696i) q^{78} +(-2.97022 - 11.0850i) q^{79} +(13.4825 - 5.30647i) q^{80} +(4.46250 - 7.81576i) q^{81} +(-1.86865 - 5.29646i) q^{82} +(8.01440 - 3.95227i) q^{83} +(10.8894 + 2.62724i) q^{84} +(2.29404 + 6.75803i) q^{85} +(-0.718418 - 2.55869i) q^{86} +(-1.85855 - 0.119574i) q^{87} +(12.0723 - 9.96944i) q^{88} +(9.27148 + 3.84037i) q^{89} +(-13.4179 - 7.49253i) q^{90} +(8.81999 + 13.2001i) q^{91} +(-3.14186 - 0.762018i) q^{92} +(-10.7984 + 10.8244i) q^{93} +(4.24599 - 13.0164i) q^{94} +(-14.1970 + 8.19665i) q^{95} +(-4.85983 - 8.50776i) q^{96} +(5.62665 + 3.24855i) q^{97} +(3.63677 - 3.26692i) q^{98} +(-16.2950 - 3.20061i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18516 0.771613i −0.838037 0.545613i
\(3\) −0.450297 1.67249i −0.259979 0.965614i
\(4\) 0.809226 + 1.82898i 0.404613 + 0.914488i
\(5\) −3.24873 1.60210i −1.45288 0.716480i −0.467048 0.884232i \(-0.654683\pi\)
−0.985829 + 0.167752i \(0.946349\pi\)
\(6\) −0.756842 + 2.32963i −0.308980 + 0.951069i
\(7\) 1.96855 + 2.56546i 0.744042 + 0.969654i 0.999996 + 0.00296521i \(0.000943855\pi\)
−0.255954 + 0.966689i \(0.582389\pi\)
\(8\) 0.452197 2.79205i 0.159876 0.987137i
\(9\) −2.59447 + 1.50624i −0.864822 + 0.502079i
\(10\) 2.61408 + 4.40551i 0.826645 + 1.39315i
\(11\) 4.16177 + 3.64978i 1.25482 + 1.10045i 0.990715 + 0.135956i \(0.0434106\pi\)
0.264107 + 0.964493i \(0.414923\pi\)
\(12\) 2.69456 2.17701i 0.777852 0.628448i
\(13\) 4.89891 + 0.321091i 1.35871 + 0.0890547i 0.727261 0.686361i \(-0.240793\pi\)
0.631451 + 0.775416i \(0.282460\pi\)
\(14\) −0.353508 4.55945i −0.0944789 1.21857i
\(15\) −1.21660 + 6.15490i −0.314126 + 1.58919i
\(16\) −2.69031 + 2.96011i −0.672577 + 0.740027i
\(17\) −1.39317 1.39317i −0.337893 0.337893i 0.517681 0.855574i \(-0.326795\pi\)
−0.855574 + 0.517681i \(0.826795\pi\)
\(18\) 4.23710 + 0.216787i 0.998694 + 0.0510972i
\(19\) 2.51433 3.76296i 0.576826 0.863282i −0.422240 0.906484i \(-0.638756\pi\)
0.999066 + 0.0432024i \(0.0137560\pi\)
\(20\) 0.301239 7.23831i 0.0673592 1.61854i
\(21\) 3.40429 4.44761i 0.742877 0.970547i
\(22\) −2.11617 7.53686i −0.451168 1.60686i
\(23\) −0.984046 + 1.28243i −0.205188 + 0.267406i −0.884600 0.466351i \(-0.845568\pi\)
0.679412 + 0.733757i \(0.262235\pi\)
\(24\) −4.87330 + 0.500953i −0.994758 + 0.102257i
\(25\) 4.94374 + 6.44281i 0.988749 + 1.28856i
\(26\) −5.55825 4.16061i −1.09006 0.815962i
\(27\) 3.68745 + 3.66097i 0.709650 + 0.704554i
\(28\) −3.09917 + 5.67647i −0.585688 + 1.07275i
\(29\) 0.345628 1.01819i 0.0641816 0.189073i −0.910109 0.414370i \(-0.864002\pi\)
0.974290 + 0.225297i \(0.0723353\pi\)
\(30\) 6.19108 6.35582i 1.13033 1.16041i
\(31\) −4.41373 7.64480i −0.792729 1.37305i −0.924271 0.381736i \(-0.875326\pi\)
0.131543 0.991311i \(-0.458007\pi\)
\(32\) 5.47251 1.43234i 0.967413 0.253204i
\(33\) 4.23019 8.60402i 0.736382 1.49777i
\(34\) 0.576146 + 2.72612i 0.0988082 + 0.467526i
\(35\) −2.28517 11.4883i −0.386264 1.94188i
\(36\) −4.85438 3.52633i −0.809063 0.587722i
\(37\) −3.61737 + 2.41705i −0.594692 + 0.397361i −0.816176 0.577803i \(-0.803910\pi\)
0.221484 + 0.975164i \(0.428910\pi\)
\(38\) −5.88344 + 2.51963i −0.954420 + 0.408738i
\(39\) −1.66894 8.33797i −0.267244 1.33514i
\(40\) −5.94220 + 8.34615i −0.939544 + 1.31964i
\(41\) 3.15074 + 2.41765i 0.492063 + 0.377573i 0.824780 0.565453i \(-0.191299\pi\)
−0.332717 + 0.943027i \(0.607965\pi\)
\(42\) −7.46647 + 2.64435i −1.15210 + 0.408032i
\(43\) 1.41288 + 1.23906i 0.215462 + 0.188956i 0.760273 0.649604i \(-0.225065\pi\)
−0.544811 + 0.838559i \(0.683398\pi\)
\(44\) −3.30754 + 10.5653i −0.498631 + 1.59278i
\(45\) 10.8419 0.736773i 1.61621 0.109832i
\(46\) 2.15580 0.760591i 0.317855 0.112143i
\(47\) 2.50570 + 9.35139i 0.365494 + 1.36404i 0.866751 + 0.498742i \(0.166204\pi\)
−0.501257 + 0.865298i \(0.667129\pi\)
\(48\) 6.16220 + 3.16659i 0.889437 + 0.457058i
\(49\) −0.894684 + 3.33901i −0.127812 + 0.477001i
\(50\) −0.887786 11.4504i −0.125552 1.61934i
\(51\) −1.70273 + 2.95740i −0.238429 + 0.414119i
\(52\) 3.37705 + 9.21982i 0.468313 + 1.27856i
\(53\) 9.78530 + 1.94642i 1.34411 + 0.267361i 0.814148 0.580657i \(-0.197204\pi\)
0.529967 + 0.848018i \(0.322204\pi\)
\(54\) −1.54538 7.18414i −0.210299 0.977637i
\(55\) −7.67319 18.5247i −1.03465 2.49787i
\(56\) 8.05306 4.33619i 1.07614 0.579447i
\(57\) −7.42571 2.51075i −0.983560 0.332557i
\(58\) −1.19527 + 0.940028i −0.156947 + 0.123432i
\(59\) 4.70699 9.54483i 0.612798 1.24263i −0.340399 0.940281i \(-0.610562\pi\)
0.953197 0.302350i \(-0.0977711\pi\)
\(60\) −12.2417 + 2.75557i −1.58039 + 0.355742i
\(61\) −0.902443 + 2.65851i −0.115546 + 0.340387i −0.989283 0.146011i \(-0.953356\pi\)
0.873737 + 0.486399i \(0.161690\pi\)
\(62\) −0.667840 + 12.4660i −0.0848157 + 1.58319i
\(63\) −8.97153 3.69091i −1.13031 0.465010i
\(64\) −7.59104 2.52511i −0.948879 0.315639i
\(65\) −15.4008 8.89167i −1.91024 1.10288i
\(66\) −11.6525 + 6.93310i −1.43432 + 0.853406i
\(67\) 10.0001 8.76990i 1.22171 1.07141i 0.226467 0.974019i \(-0.427283\pi\)
0.995246 0.0973943i \(-0.0310508\pi\)
\(68\) 1.42068 3.67546i 0.172283 0.445715i
\(69\) 2.58797 + 1.06833i 0.311556 + 0.128612i
\(70\) −6.15624 + 15.3788i −0.735811 + 1.83812i
\(71\) −5.06112 2.09639i −0.600645 0.248795i 0.0615780 0.998102i \(-0.480387\pi\)
−0.662223 + 0.749307i \(0.730387\pi\)
\(72\) 3.03227 + 7.92498i 0.357357 + 0.933968i
\(73\) 4.94304 2.04748i 0.578539 0.239639i −0.0741721 0.997245i \(-0.523631\pi\)
0.652711 + 0.757607i \(0.273631\pi\)
\(74\) 6.15220 0.0733886i 0.715179 0.00853125i
\(75\) 8.54941 11.1696i 0.987200 1.28975i
\(76\) 8.91702 + 1.55356i 1.02285 + 0.178206i
\(77\) −1.17071 + 17.8617i −0.133415 + 2.03552i
\(78\) −4.45573 + 11.1696i −0.504512 + 1.26471i
\(79\) −2.97022 11.0850i −0.334176 1.24716i −0.904760 0.425922i \(-0.859950\pi\)
0.570584 0.821239i \(-0.306717\pi\)
\(80\) 13.4825 5.30647i 1.50739 0.593282i
\(81\) 4.46250 7.81576i 0.495834 0.868418i
\(82\) −1.86865 5.29646i −0.206358 0.584896i
\(83\) 8.01440 3.95227i 0.879695 0.433818i 0.0543998 0.998519i \(-0.482675\pi\)
0.825295 + 0.564702i \(0.191009\pi\)
\(84\) 10.8894 + 2.62724i 1.18813 + 0.286656i
\(85\) 2.29404 + 6.75803i 0.248824 + 0.733011i
\(86\) −0.718418 2.55869i −0.0774690 0.275911i
\(87\) −1.85855 0.119574i −0.199257 0.0128197i
\(88\) 12.0723 9.96944i 1.28691 1.06275i
\(89\) 9.27148 + 3.84037i 0.982775 + 0.407079i 0.815453 0.578824i \(-0.196488\pi\)
0.167322 + 0.985902i \(0.446488\pi\)
\(90\) −13.4179 7.49253i −1.41437 0.789782i
\(91\) 8.81999 + 13.2001i 0.924587 + 1.38374i
\(92\) −3.14186 0.762018i −0.327561 0.0794459i
\(93\) −10.7984 + 10.8244i −1.11974 + 1.12243i
\(94\) 4.24599 13.0164i 0.437941 1.34253i
\(95\) −14.1970 + 8.19665i −1.45658 + 0.840958i
\(96\) −4.85983 8.50776i −0.496004 0.868320i
\(97\) 5.62665 + 3.24855i 0.571300 + 0.329840i 0.757668 0.652640i \(-0.226338\pi\)
−0.186368 + 0.982480i \(0.559672\pi\)
\(98\) 3.63677 3.26692i 0.367369 0.330009i
\(99\) −16.2950 3.20061i −1.63771 0.321673i
\(100\) −7.78314 + 14.2557i −0.778314 + 1.42557i
\(101\) 14.7611 0.967497i 1.46879 0.0962695i 0.690116 0.723699i \(-0.257560\pi\)
0.778673 + 0.627430i \(0.215893\pi\)
\(102\) 4.29998 2.19116i 0.425762 0.216957i
\(103\) 1.88314 + 14.3039i 0.185551 + 1.40940i 0.790170 + 0.612887i \(0.209992\pi\)
−0.604619 + 0.796515i \(0.706675\pi\)
\(104\) 3.11177 13.5328i 0.305134 1.32700i
\(105\) −18.1851 + 8.99508i −1.77469 + 0.877830i
\(106\) −10.0953 9.85729i −0.980543 0.957425i
\(107\) −1.79282 0.356614i −0.173318 0.0344752i 0.107668 0.994187i \(-0.465662\pi\)
−0.280986 + 0.959712i \(0.590662\pi\)
\(108\) −3.71185 + 9.70681i −0.357173 + 0.934038i
\(109\) −6.22651 4.16042i −0.596391 0.398496i 0.220416 0.975406i \(-0.429258\pi\)
−0.816808 + 0.576910i \(0.804258\pi\)
\(110\) −5.19993 + 27.8756i −0.495794 + 2.65783i
\(111\) 5.67139 + 4.96164i 0.538305 + 0.470938i
\(112\) −12.8901 1.07476i −1.21800 0.101555i
\(113\) 1.74669 + 0.468024i 0.164315 + 0.0440280i 0.340039 0.940412i \(-0.389560\pi\)
−0.175724 + 0.984440i \(0.556227\pi\)
\(114\) 6.86336 + 8.70543i 0.642813 + 0.815338i
\(115\) 5.25149 2.58975i 0.489704 0.241495i
\(116\) 2.14193 0.191798i 0.198874 0.0178080i
\(117\) −13.1937 + 6.54585i −1.21976 + 0.605164i
\(118\) −12.9435 + 7.68021i −1.19154 + 0.707021i
\(119\) 0.831602 6.31665i 0.0762329 0.579046i
\(120\) 16.6346 + 6.18004i 1.51853 + 0.564158i
\(121\) 2.56370 + 19.4732i 0.233063 + 1.77029i
\(122\) 3.12088 2.45443i 0.282552 0.222214i
\(123\) 2.62473 6.35825i 0.236664 0.573304i
\(124\) 10.4105 14.2590i 0.934886 1.28049i
\(125\) −2.20552 11.0879i −0.197268 0.991732i
\(126\) 7.78478 + 11.2969i 0.693523 + 1.00641i
\(127\) 0.648589i 0.0575530i 0.999586 + 0.0287765i \(0.00916110\pi\)
−0.999586 + 0.0287765i \(0.990839\pi\)
\(128\) 7.04821 + 8.85001i 0.622980 + 0.782238i
\(129\) 1.43611 2.92098i 0.126442 0.257178i
\(130\) 11.3916 + 22.4216i 0.999107 + 1.96650i
\(131\) −3.09842 3.53307i −0.270710 0.308686i 0.600472 0.799646i \(-0.294979\pi\)
−0.871182 + 0.490960i \(0.836646\pi\)
\(132\) 19.1597 + 0.774326i 1.66764 + 0.0673965i
\(133\) 14.6033 0.957152i 1.26627 0.0829956i
\(134\) −18.6188 + 2.67751i −1.60842 + 0.231302i
\(135\) −6.11430 17.8012i −0.526236 1.53208i
\(136\) −4.51978 + 3.25980i −0.387568 + 0.279526i
\(137\) −2.26616 0.298346i −0.193611 0.0254894i 0.0330968 0.999452i \(-0.489463\pi\)
−0.226708 + 0.973963i \(0.572796\pi\)
\(138\) −2.24283 3.26307i −0.190923 0.277771i
\(139\) 0.547486 + 1.61284i 0.0464372 + 0.136799i 0.967675 0.252200i \(-0.0811541\pi\)
−0.921238 + 0.389000i \(0.872821\pi\)
\(140\) 19.1626 13.4762i 1.61954 1.13894i
\(141\) 14.5118 8.40166i 1.22212 0.707548i
\(142\) 4.38066 + 6.38979i 0.367617 + 0.536219i
\(143\) 19.2162 + 19.2162i 1.60694 + 1.60694i
\(144\) 2.52128 11.7321i 0.210107 0.977678i
\(145\) −2.75409 + 2.75409i −0.228715 + 0.228715i
\(146\) −7.43817 1.38752i −0.615588 0.114832i
\(147\) 5.98734 0.00719112i 0.493827 0.000593114i
\(148\) −7.34800 4.66015i −0.604002 0.383062i
\(149\) −18.5825 + 6.30790i −1.52234 + 0.516764i −0.952381 0.304911i \(-0.901373\pi\)
−0.569956 + 0.821675i \(0.693040\pi\)
\(150\) −18.7510 + 6.64092i −1.53101 + 0.542228i
\(151\) −1.56919 + 11.9192i −0.127699 + 0.969971i 0.800877 + 0.598829i \(0.204367\pi\)
−0.928576 + 0.371142i \(0.878966\pi\)
\(152\) −9.36938 8.72172i −0.759957 0.707425i
\(153\) 5.71297 + 1.51609i 0.461866 + 0.122568i
\(154\) 15.1698 20.2656i 1.22242 1.63305i
\(155\) 2.09130 + 31.9071i 0.167978 + 2.56284i
\(156\) 13.8994 9.79976i 1.11284 0.784608i
\(157\) −3.44310 + 3.01951i −0.274789 + 0.240983i −0.785637 0.618687i \(-0.787665\pi\)
0.510848 + 0.859671i \(0.329331\pi\)
\(158\) −5.03315 + 15.4294i −0.400416 + 1.22750i
\(159\) −1.15092 17.2423i −0.0912739 1.36740i
\(160\) −20.0735 4.11422i −1.58695 0.325257i
\(161\) −5.22718 −0.411960
\(162\) −11.3195 + 5.81963i −0.889347 + 0.457233i
\(163\) −6.00711 + 1.19489i −0.470513 + 0.0935909i −0.424652 0.905357i \(-0.639603\pi\)
−0.0458618 + 0.998948i \(0.514603\pi\)
\(164\) −1.87216 + 7.71905i −0.146191 + 0.602757i
\(165\) −27.5273 + 21.1750i −2.14299 + 1.64847i
\(166\) −12.5480 1.49994i −0.973914 0.116418i
\(167\) −8.58782 + 1.13061i −0.664546 + 0.0874891i −0.455251 0.890363i \(-0.650450\pi\)
−0.209295 + 0.977852i \(0.567117\pi\)
\(168\) −10.8785 11.5161i −0.839295 0.888488i
\(169\) 11.0074 + 1.44915i 0.846724 + 0.111473i
\(170\) 2.49577 9.77948i 0.191417 0.750052i
\(171\) −0.855433 + 13.5500i −0.0654166 + 1.03620i
\(172\) −1.12288 + 3.58681i −0.0856186 + 0.273492i
\(173\) −4.05122 8.21505i −0.308008 0.624579i 0.686743 0.726900i \(-0.259040\pi\)
−0.994751 + 0.102321i \(0.967373\pi\)
\(174\) 2.11042 + 1.57580i 0.159990 + 0.119461i
\(175\) −6.79680 + 25.3660i −0.513790 + 1.91749i
\(176\) −22.0002 + 2.50029i −1.65833 + 0.188466i
\(177\) −18.0832 3.57440i −1.35922 0.268668i
\(178\) −8.02494 11.7055i −0.601495 0.877362i
\(179\) 3.73319 5.58712i 0.279032 0.417601i −0.665310 0.746568i \(-0.731700\pi\)
0.944342 + 0.328967i \(0.106700\pi\)
\(180\) 10.1211 + 19.2333i 0.754379 + 1.43357i
\(181\) 0.557659 2.80354i 0.0414505 0.208386i −0.954510 0.298179i \(-0.903621\pi\)
0.995960 + 0.0897935i \(0.0286207\pi\)
\(182\) −0.267800 22.4499i −0.0198507 1.66409i
\(183\) 4.85271 + 0.312210i 0.358723 + 0.0230793i
\(184\) 3.13563 + 3.32741i 0.231162 + 0.245300i
\(185\) 15.6242 2.05697i 1.14872 0.151231i
\(186\) 21.1501 4.49646i 1.55080 0.329696i
\(187\) −0.713297 10.8828i −0.0521614 0.795830i
\(188\) −15.0758 + 12.1502i −1.09952 + 0.886148i
\(189\) −2.13316 + 16.6668i −0.155165 + 1.21233i
\(190\) 23.1504 + 1.24023i 1.67951 + 0.0899759i
\(191\) 5.47503 9.48303i 0.396159 0.686168i −0.597089 0.802175i \(-0.703676\pi\)
0.993248 + 0.116007i \(0.0370095\pi\)
\(192\) −0.805007 + 13.8330i −0.0580964 + 0.998311i
\(193\) 12.3246 + 21.3469i 0.887145 + 1.53658i 0.843235 + 0.537544i \(0.180648\pi\)
0.0439095 + 0.999036i \(0.486019\pi\)
\(194\) −4.16188 8.19166i −0.298806 0.588127i
\(195\) −7.93631 + 29.7617i −0.568331 + 2.13128i
\(196\) −6.83096 + 1.06565i −0.487926 + 0.0761182i
\(197\) −8.30560 + 5.54963i −0.591750 + 0.395394i −0.815080 0.579348i \(-0.803307\pi\)
0.223330 + 0.974743i \(0.428307\pi\)
\(198\) 16.8426 + 16.3667i 1.19695 + 1.16313i
\(199\) −5.75136 + 13.8850i −0.407703 + 0.984282i 0.578038 + 0.816010i \(0.303819\pi\)
−0.985741 + 0.168272i \(0.946181\pi\)
\(200\) 20.2242 10.8897i 1.43006 0.770021i
\(201\) −19.1706 12.7761i −1.35219 0.901158i
\(202\) −18.2409 10.2433i −1.28343 0.720713i
\(203\) 3.29251 1.11766i 0.231089 0.0784442i
\(204\) −6.78691 0.721036i −0.475179 0.0504826i
\(205\) −6.36261 12.9021i −0.444384 0.901121i
\(206\) 8.80522 18.4055i 0.613489 1.28237i
\(207\) 0.621425 4.80944i 0.0431920 0.334279i
\(208\) −14.1300 + 13.6375i −0.979741 + 0.945588i
\(209\) 24.1980 6.48384i 1.67381 0.448497i
\(210\) 28.4931 + 3.37124i 1.96621 + 0.232638i
\(211\) −2.82725 0.185308i −0.194636 0.0127571i −0.0322266 0.999481i \(-0.510260\pi\)
−0.162409 + 0.986723i \(0.551927\pi\)
\(212\) 4.35857 + 19.4722i 0.299348 + 1.33735i
\(213\) −1.22718 + 9.40869i −0.0840852 + 0.644673i
\(214\) 1.84962 + 1.80601i 0.126437 + 0.123456i
\(215\) −2.60497 6.28896i −0.177658 0.428904i
\(216\) 11.8891 8.64005i 0.808948 0.587881i
\(217\) 10.9238 26.3724i 0.741557 1.79028i
\(218\) 4.16920 + 9.73524i 0.282374 + 0.659353i
\(219\) −5.65022 7.34523i −0.381807 0.496345i
\(220\) 27.6719 29.0248i 1.86564 1.95685i
\(221\) −6.37767 7.27234i −0.429009 0.489190i
\(222\) −2.89306 10.2565i −0.194169 0.688369i
\(223\) 9.66280 16.7365i 0.647069 1.12076i −0.336751 0.941594i \(-0.609328\pi\)
0.983820 0.179162i \(-0.0573387\pi\)
\(224\) 14.4475 + 11.2199i 0.965316 + 0.749662i
\(225\) −22.5308 9.26921i −1.50205 0.617947i
\(226\) −1.70898 1.90245i −0.113680 0.126549i
\(227\) −2.14752 0.728986i −0.142536 0.0483845i 0.249260 0.968437i \(-0.419813\pi\)
−0.391796 + 0.920052i \(0.628146\pi\)
\(228\) −1.41698 15.6132i −0.0938420 1.03401i
\(229\) 1.59859 + 0.788336i 0.105638 + 0.0520947i 0.494340 0.869269i \(-0.335410\pi\)
−0.388702 + 0.921363i \(0.627077\pi\)
\(230\) −8.22216 0.982843i −0.542153 0.0648068i
\(231\) 30.4007 6.08503i 2.00022 0.400366i
\(232\) −2.68654 1.42543i −0.176380 0.0935842i
\(233\) −14.5682 + 6.03436i −0.954397 + 0.395324i −0.804882 0.593435i \(-0.797771\pi\)
−0.149515 + 0.988759i \(0.547771\pi\)
\(234\) 20.6875 + 2.42252i 1.35239 + 0.158365i
\(235\) 6.84150 34.3945i 0.446290 2.24365i
\(236\) 21.2663 + 0.885046i 1.38432 + 0.0576116i
\(237\) −17.2021 + 9.95922i −1.11740 + 0.646921i
\(238\) −5.85959 + 6.84458i −0.379821 + 0.443669i
\(239\) 10.0733 + 2.69914i 0.651589 + 0.174593i 0.569447 0.822028i \(-0.307157\pi\)
0.0821420 + 0.996621i \(0.473824\pi\)
\(240\) −14.9462 20.1599i −0.964770 1.30131i
\(241\) 6.39019 1.71225i 0.411628 0.110296i −0.0470613 0.998892i \(-0.514986\pi\)
0.458690 + 0.888596i \(0.348319\pi\)
\(242\) 11.9874 25.0571i 0.770578 1.61073i
\(243\) −15.0813 3.94409i −0.967463 0.253014i
\(244\) −5.59263 + 0.500790i −0.358032 + 0.0320598i
\(245\) 8.25600 9.41417i 0.527457 0.601449i
\(246\) −8.01685 + 5.51029i −0.511136 + 0.351323i
\(247\) 13.5257 17.6271i 0.860620 1.12158i
\(248\) −23.3405 + 8.86637i −1.48212 + 0.563015i
\(249\) −10.2190 11.6243i −0.647603 0.736663i
\(250\) −5.94167 + 14.8428i −0.375784 + 0.938740i
\(251\) 1.03852 + 1.55425i 0.0655508 + 0.0981037i 0.862797 0.505551i \(-0.168711\pi\)
−0.797246 + 0.603654i \(0.793711\pi\)
\(252\) −0.509416 19.3955i −0.0320902 1.22180i
\(253\) −8.77598 + 1.74565i −0.551741 + 0.109748i
\(254\) 0.500460 0.768684i 0.0314016 0.0482315i
\(255\) 10.2698 6.87989i 0.643117 0.430835i
\(256\) −1.52450 15.9272i −0.0952813 0.995450i
\(257\) −2.82125 + 1.62885i −0.175985 + 0.101605i −0.585405 0.810741i \(-0.699064\pi\)
0.409420 + 0.912346i \(0.365731\pi\)
\(258\) −3.95589 + 2.35372i −0.246283 + 0.146536i
\(259\) −13.3218 4.52215i −0.827778 0.280993i
\(260\) 3.79990 35.3631i 0.235660 2.19313i
\(261\) 0.636912 + 3.16225i 0.0394238 + 0.195739i
\(262\) 0.945970 + 6.57804i 0.0584422 + 0.406393i
\(263\) −17.4529 + 13.3921i −1.07619 + 0.825789i −0.985430 0.170083i \(-0.945596\pi\)
−0.0907600 + 0.995873i \(0.528930\pi\)
\(264\) −22.1099 15.7016i −1.36077 0.966367i
\(265\) −28.6715 22.0004i −1.76128 1.35147i
\(266\) −18.0459 10.1337i −1.10646 0.621339i
\(267\) 2.24808 17.2358i 0.137580 1.05481i
\(268\) 24.1323 + 11.1932i 1.47412 + 0.683734i
\(269\) 11.8900 + 7.94467i 0.724949 + 0.484395i 0.862473 0.506103i \(-0.168915\pi\)
−0.137524 + 0.990498i \(0.543915\pi\)
\(270\) −6.48917 + 25.8152i −0.394918 + 1.57106i
\(271\) 0.727309 0.727309i 0.0441808 0.0441808i −0.684671 0.728852i \(-0.740054\pi\)
0.728852 + 0.684671i \(0.240054\pi\)
\(272\) 7.87198 0.375881i 0.477309 0.0227912i
\(273\) 18.1054 20.6953i 1.09579 1.25254i
\(274\) 2.45557 + 2.10219i 0.148346 + 0.126998i
\(275\) −2.94009 + 44.8571i −0.177294 + 2.70498i
\(276\) 0.140298 + 5.59787i 0.00844497 + 0.336952i
\(277\) 11.0734 12.6268i 0.665336 0.758671i −0.316460 0.948606i \(-0.602494\pi\)
0.981797 + 0.189935i \(0.0608278\pi\)
\(278\) 0.595629 2.33393i 0.0357235 0.139980i
\(279\) 22.9661 + 13.1861i 1.37495 + 0.789428i
\(280\) −33.1093 + 1.18531i −1.97866 + 0.0708360i
\(281\) −5.03011 + 3.85974i −0.300071 + 0.230253i −0.747812 0.663911i \(-0.768896\pi\)
0.447741 + 0.894164i \(0.352229\pi\)
\(282\) −23.6817 1.24017i −1.41023 0.0738512i
\(283\) 10.0556 20.3906i 0.597741 1.21210i −0.362254 0.932079i \(-0.617993\pi\)
0.959995 0.280019i \(-0.0903406\pi\)
\(284\) −0.261353 10.9531i −0.0155084 0.649948i
\(285\) 20.1017 + 20.0535i 1.19072 + 1.18787i
\(286\) −7.94688 37.6019i −0.469909 2.22345i
\(287\) 12.8424i 0.758061i
\(288\) −12.0408 + 11.9591i −0.709511 + 0.704694i
\(289\) 13.1182i 0.771657i
\(290\) 5.38914 1.13896i 0.316461 0.0668818i
\(291\) 2.89951 10.8733i 0.169972 0.637407i
\(292\) 7.74482 + 7.38384i 0.453231 + 0.432106i
\(293\) 2.03406 4.12467i 0.118831 0.240966i −0.829328 0.558763i \(-0.811276\pi\)
0.948159 + 0.317797i \(0.102943\pi\)
\(294\) −7.10152 4.61139i −0.414169 0.268942i
\(295\) −30.5835 + 23.4675i −1.78064 + 1.36633i
\(296\) 5.11275 + 11.1928i 0.297173 + 0.650571i
\(297\) 1.98460 + 28.6945i 0.115158 + 1.66502i
\(298\) 26.8906 + 6.86259i 1.55773 + 0.397539i
\(299\) −5.23253 + 5.96656i −0.302605 + 0.345055i
\(300\) 27.3472 + 6.59797i 1.57889 + 0.380934i
\(301\) −0.397446 + 6.06386i −0.0229084 + 0.349515i
\(302\) 11.0568 12.9154i 0.636245 0.743197i
\(303\) −8.26503 24.2523i −0.474813 1.39326i
\(304\) 4.37445 + 17.5662i 0.250892 + 1.00749i
\(305\) 7.19099 7.19099i 0.411755 0.411755i
\(306\) −5.60097 6.20501i −0.320186 0.354717i
\(307\) −25.2386 16.8639i −1.44044 0.962473i −0.997836 0.0657582i \(-0.979053\pi\)
−0.442608 0.896715i \(-0.645947\pi\)
\(308\) −33.6159 + 12.3129i −1.91544 + 0.701593i
\(309\) 23.0751 9.59052i 1.31270 0.545586i
\(310\) 22.1414 39.4289i 1.25755 2.23941i
\(311\) −13.1938 10.1240i −0.748153 0.574078i 0.162765 0.986665i \(-0.447959\pi\)
−0.910918 + 0.412587i \(0.864625\pi\)
\(312\) −24.0347 + 0.889349i −1.36070 + 0.0503494i
\(313\) 3.16536 2.42886i 0.178917 0.137288i −0.515421 0.856937i \(-0.672364\pi\)
0.694337 + 0.719650i \(0.255698\pi\)
\(314\) 6.41053 0.921880i 0.361767 0.0520247i
\(315\) 23.2329 + 26.3640i 1.30903 + 1.48545i
\(316\) 17.8706 14.4027i 1.00530 0.810218i
\(317\) 0.780958 + 0.265100i 0.0438630 + 0.0148895i 0.343285 0.939231i \(-0.388460\pi\)
−0.299422 + 0.954121i \(0.596794\pi\)
\(318\) −11.9404 + 21.3230i −0.669583 + 1.19574i
\(319\) 5.15459 2.97600i 0.288602 0.166624i
\(320\) 20.6158 + 20.3650i 1.15246 + 1.13844i
\(321\) 0.210867 + 3.15906i 0.0117694 + 0.176322i
\(322\) 6.19507 + 4.03336i 0.345238 + 0.224771i
\(323\) −8.74532 + 1.73955i −0.486603 + 0.0967913i
\(324\) 17.9060 + 1.83710i 0.994778 + 0.102061i
\(325\) 22.1502 + 33.1501i 1.22867 + 1.83884i
\(326\) 8.04140 + 3.21903i 0.445372 + 0.178285i
\(327\) −4.15450 + 12.2872i −0.229744 + 0.679485i
\(328\) 8.17494 7.70376i 0.451386 0.425369i
\(329\) −19.0581 + 24.8370i −1.05071 + 1.36931i
\(330\) 48.9632 3.85543i 2.69534 0.212234i
\(331\) −0.232948 + 0.265626i −0.0128040 + 0.0146001i −0.758206 0.652015i \(-0.773924\pi\)
0.745402 + 0.666615i \(0.232257\pi\)
\(332\) 13.7141 + 11.4599i 0.752657 + 0.628942i
\(333\) 5.74450 11.7196i 0.314796 0.642228i
\(334\) 11.0504 + 5.28652i 0.604649 + 0.289266i
\(335\) −46.5380 + 12.4698i −2.54265 + 0.681300i
\(336\) 4.00682 + 22.0425i 0.218590 + 1.20252i
\(337\) 17.1414 + 4.59301i 0.933749 + 0.250197i 0.693453 0.720502i \(-0.256089\pi\)
0.240297 + 0.970700i \(0.422755\pi\)
\(338\) −11.9274 10.2109i −0.648765 0.555402i
\(339\) −0.00376179 3.13208i −0.000204313 0.170111i
\(340\) −10.5039 + 9.66452i −0.569652 + 0.524132i
\(341\) 9.53289 47.9251i 0.516235 2.59529i
\(342\) 11.4692 15.3989i 0.620184 0.832680i
\(343\) 10.5855 4.38465i 0.571563 0.236749i
\(344\) 4.09842 3.38453i 0.220972 0.182482i
\(345\) −6.69606 7.61692i −0.360504 0.410081i
\(346\) −1.53749 + 12.8622i −0.0826560 + 0.691474i
\(347\) −2.53717 1.25119i −0.136202 0.0671675i 0.372911 0.927867i \(-0.378360\pi\)
−0.509113 + 0.860700i \(0.670026\pi\)
\(348\) −1.28529 3.49600i −0.0688986 0.187405i
\(349\) −13.1594 4.46703i −0.704409 0.239115i −0.0538265 0.998550i \(-0.517142\pi\)
−0.650582 + 0.759436i \(0.725475\pi\)
\(350\) 27.6281 24.8184i 1.47678 1.32660i
\(351\) 16.8890 + 19.1188i 0.901466 + 1.02048i
\(352\) 28.0031 + 14.0124i 1.49257 + 0.746863i
\(353\) −15.3619 + 26.6075i −0.817630 + 1.41618i 0.0897939 + 0.995960i \(0.471379\pi\)
−0.907424 + 0.420216i \(0.861954\pi\)
\(354\) 18.6735 + 18.1895i 0.992485 + 0.966760i
\(355\) 13.0836 + 14.9190i 0.694407 + 0.791819i
\(356\) 0.478773 + 20.0650i 0.0253749 + 1.06345i
\(357\) −10.9390 + 1.45352i −0.578954 + 0.0769283i
\(358\) −8.73554 + 3.74107i −0.461688 + 0.197722i
\(359\) −0.328531 + 0.793143i −0.0173392 + 0.0418605i −0.932312 0.361655i \(-0.882212\pi\)
0.914973 + 0.403515i \(0.132212\pi\)
\(360\) 2.84555 30.6041i 0.149974 1.61298i
\(361\) −0.567020 1.36891i −0.0298431 0.0720477i
\(362\) −2.82417 + 2.89236i −0.148435 + 0.152019i
\(363\) 31.4144 13.0565i 1.64883 0.685288i
\(364\) −17.0052 + 26.8134i −0.891315 + 1.40540i
\(365\) −19.3389 1.26754i −1.01224 0.0663459i
\(366\) −5.51035 4.11443i −0.288030 0.215065i
\(367\) −32.8413 + 8.79979i −1.71430 + 0.459345i −0.976472 0.215644i \(-0.930815\pi\)
−0.737827 + 0.674989i \(0.764148\pi\)
\(368\) −1.14876 6.36302i −0.0598832 0.331696i
\(369\) −11.8160 1.52674i −0.615118 0.0794792i
\(370\) −20.1044 9.61802i −1.04518 0.500017i
\(371\) 14.2694 + 28.9355i 0.740830 + 1.50225i
\(372\) −28.5358 10.9906i −1.47951 0.569838i
\(373\) 3.98679 1.35333i 0.206428 0.0700729i −0.216310 0.976325i \(-0.569402\pi\)
0.422738 + 0.906252i \(0.361069\pi\)
\(374\) −7.55195 + 13.4483i −0.390502 + 0.695395i
\(375\) −17.5513 + 8.68156i −0.906345 + 0.448314i
\(376\) 27.2426 2.76735i 1.40493 0.142715i
\(377\) 2.02013 4.87703i 0.104042 0.251180i
\(378\) 15.3885 18.1069i 0.791499 0.931320i
\(379\) −14.2765 + 9.53928i −0.733337 + 0.490000i −0.865300 0.501255i \(-0.832872\pi\)
0.131963 + 0.991255i \(0.457872\pi\)
\(380\) −26.4801 19.3330i −1.35840 0.991764i
\(381\) 1.08476 0.292058i 0.0555740 0.0149626i
\(382\) −13.8060 + 7.01434i −0.706378 + 0.358885i
\(383\) 3.57265 + 6.18802i 0.182554 + 0.316193i 0.942750 0.333501i \(-0.108230\pi\)
−0.760196 + 0.649694i \(0.774897\pi\)
\(384\) 11.6278 15.7732i 0.593378 0.804924i
\(385\) 32.4195 56.1521i 1.65225 2.86178i
\(386\) 1.86483 34.8093i 0.0949175 1.77175i
\(387\) −5.53200 1.08657i −0.281207 0.0552337i
\(388\) −1.38829 + 12.9198i −0.0704795 + 0.655904i
\(389\) 2.27299 + 34.6791i 0.115245 + 1.75830i 0.529659 + 0.848211i \(0.322320\pi\)
−0.414414 + 0.910089i \(0.636013\pi\)
\(390\) 32.3703 29.1487i 1.63914 1.47600i
\(391\) 3.15759 0.415704i 0.159686 0.0210231i
\(392\) 8.91808 + 4.00789i 0.450431 + 0.202429i
\(393\) −4.51382 + 6.77301i −0.227692 + 0.341653i
\(394\) 14.1257 0.168503i 0.711641 0.00848903i
\(395\) −8.10983 + 40.7708i −0.408050 + 2.05140i
\(396\) −7.33251 32.3932i −0.368473 1.62782i
\(397\) −10.7184 + 16.0412i −0.537939 + 0.805083i −0.996501 0.0835794i \(-0.973365\pi\)
0.458562 + 0.888663i \(0.348365\pi\)
\(398\) 17.5302 12.0182i 0.878707 0.602417i
\(399\) −8.17665 23.9929i −0.409345 1.20115i
\(400\) −32.3716 2.69912i −1.61858 0.134956i
\(401\) 8.71737 32.5337i 0.435325 1.62465i −0.304963 0.952364i \(-0.598644\pi\)
0.740288 0.672290i \(-0.234689\pi\)
\(402\) 12.8621 + 29.9341i 0.641503 + 1.49298i
\(403\) −19.1678 38.8684i −0.954814 1.93617i
\(404\) 13.7146 + 26.2149i 0.682328 + 1.30424i
\(405\) −27.0191 + 18.2419i −1.34259 + 0.906450i
\(406\) −4.76456 1.21594i −0.236461 0.0603460i
\(407\) −23.8764 3.14338i −1.18351 0.155812i
\(408\) 7.48724 + 6.09142i 0.370674 + 0.301570i
\(409\) −11.2699 + 1.48371i −0.557261 + 0.0733648i −0.403896 0.914805i \(-0.632344\pi\)
−0.153365 + 0.988170i \(0.549011\pi\)
\(410\) −2.41469 + 20.2006i −0.119253 + 0.997635i
\(411\) 0.521465 + 3.92449i 0.0257220 + 0.193581i
\(412\) −24.6375 + 15.0193i −1.21380 + 0.739947i
\(413\) 33.7529 6.71386i 1.66087 0.330367i
\(414\) −4.44752 + 5.22047i −0.218583 + 0.256572i
\(415\) −32.3686 −1.58891
\(416\) 27.2692 5.25972i 1.33698 0.257879i
\(417\) 2.45094 1.64192i 0.120023 0.0804054i
\(418\) −33.6816 10.9871i −1.64742 0.537397i
\(419\) 26.0611 22.8550i 1.27317 1.11654i 0.285766 0.958299i \(-0.407752\pi\)
0.987401 0.158238i \(-0.0505813\pi\)
\(420\) −31.1677 25.9811i −1.52083 1.26775i
\(421\) 0.236093 + 3.60208i 0.0115064 + 0.175554i 0.999744 + 0.0226276i \(0.00720322\pi\)
−0.988238 + 0.152927i \(0.951130\pi\)
\(422\) 3.20777 + 2.40116i 0.156152 + 0.116887i
\(423\) −20.5863 20.4877i −1.00094 0.996145i
\(424\) 9.85937 26.4408i 0.478813 1.28408i
\(425\) 2.08846 15.8634i 0.101305 0.769488i
\(426\) 8.71428 10.2039i 0.422208 0.494382i
\(427\) −8.59682 + 2.91823i −0.416029 + 0.141223i
\(428\) −0.798558 3.56761i −0.0385997 0.172447i
\(429\) 23.4860 40.7920i 1.13392 1.96946i
\(430\) −1.76533 + 9.46348i −0.0851316 + 0.456370i
\(431\) 4.75857 4.75857i 0.229212 0.229212i −0.583151 0.812363i \(-0.698181\pi\)
0.812363 + 0.583151i \(0.198181\pi\)
\(432\) −20.7572 + 1.06612i −0.998684 + 0.0512937i
\(433\) 3.97900 + 3.97900i 0.191219 + 0.191219i 0.796222 0.605004i \(-0.206828\pi\)
−0.605004 + 0.796222i \(0.706828\pi\)
\(434\) −33.2958 + 22.8267i −1.59825 + 1.09572i
\(435\) 5.84636 + 3.36604i 0.280311 + 0.161389i
\(436\) 2.57066 14.7549i 0.123112 0.706629i
\(437\) 2.35153 + 6.92738i 0.112489 + 0.331382i
\(438\) 1.02876 + 13.0651i 0.0491562 + 0.624274i
\(439\) −7.60825 1.00164i −0.363122 0.0478059i −0.0532420 0.998582i \(-0.516955\pi\)
−0.309880 + 0.950776i \(0.600289\pi\)
\(440\) −55.1917 + 13.0471i −2.63116 + 0.621995i
\(441\) −2.70811 10.0105i −0.128957 0.476692i
\(442\) 1.94715 + 13.5400i 0.0926165 + 0.644032i
\(443\) −7.76192 + 0.508743i −0.368780 + 0.0241711i −0.248667 0.968589i \(-0.579992\pi\)
−0.120113 + 0.992760i \(0.538326\pi\)
\(444\) −4.48528 + 14.3879i −0.212862 + 0.682821i
\(445\) −23.9679 27.3302i −1.13619 1.29557i
\(446\) −24.3661 + 12.3795i −1.15377 + 0.586186i
\(447\) 18.9176 + 28.2387i 0.894770 + 1.33564i
\(448\) −8.46526 24.4453i −0.399946 1.15493i
\(449\) 15.6674i 0.739389i 0.929153 + 0.369695i \(0.120538\pi\)
−0.929153 + 0.369695i \(0.879462\pi\)
\(450\) 19.5504 + 28.3706i 0.921615 + 1.33740i
\(451\) 4.28879 + 21.5612i 0.201951 + 1.01528i
\(452\) 0.557462 + 3.57339i 0.0262208 + 0.168078i
\(453\) 20.6414 2.74271i 0.969817 0.128864i
\(454\) 1.98267 + 2.52103i 0.0930514 + 0.118318i
\(455\) −7.50603 57.0140i −0.351888 2.67286i
\(456\) −10.3680 + 19.5976i −0.485526 + 0.917741i
\(457\) −4.64196 + 35.2592i −0.217142 + 1.64936i 0.441765 + 0.897131i \(0.354352\pi\)
−0.658907 + 0.752224i \(0.728981\pi\)
\(458\) −1.28630 2.16780i −0.0601047 0.101295i
\(459\) −0.0368879 10.2376i −0.00172178 0.477850i
\(460\) 8.98623 + 7.50916i 0.418985 + 0.350116i
\(461\) 4.41542 2.17744i 0.205647 0.101414i −0.336549 0.941666i \(-0.609260\pi\)
0.542196 + 0.840252i \(0.317593\pi\)
\(462\) −40.7250 16.2458i −1.89470 0.755822i
\(463\) 20.7315 + 5.55499i 0.963475 + 0.258162i 0.706071 0.708141i \(-0.250466\pi\)
0.257404 + 0.966304i \(0.417133\pi\)
\(464\) 2.08410 + 3.76234i 0.0967521 + 0.174662i
\(465\) 52.4228 17.8654i 2.43105 0.828487i
\(466\) 21.9219 + 4.08934i 1.01551 + 0.189435i
\(467\) −0.268509 0.179412i −0.0124251 0.00830221i 0.549342 0.835598i \(-0.314878\pi\)
−0.561767 + 0.827295i \(0.689878\pi\)
\(468\) −22.6489 18.8339i −1.04694 0.870596i
\(469\) 42.1846 + 8.39105i 1.94791 + 0.387463i
\(470\) −34.6476 + 35.4842i −1.59817 + 1.63676i
\(471\) 6.60053 + 4.39888i 0.304136 + 0.202689i
\(472\) −24.5211 17.4583i −1.12868 0.803582i
\(473\) 1.35779 + 10.3134i 0.0624311 + 0.474211i
\(474\) 28.0720 + 1.47008i 1.28939 + 0.0675232i
\(475\) 36.6742 2.40376i 1.68273 0.110292i
\(476\) 12.2259 3.59061i 0.560375 0.164576i
\(477\) −28.3194 + 9.68907i −1.29666 + 0.443632i
\(478\) −9.85585 10.9716i −0.450796 0.501831i
\(479\) −11.4551 6.61362i −0.523398 0.302184i 0.214926 0.976630i \(-0.431049\pi\)
−0.738324 + 0.674446i \(0.764382\pi\)
\(480\) 2.15803 + 35.4254i 0.0985000 + 1.61694i
\(481\) −18.4973 + 10.6794i −0.843402 + 0.486939i
\(482\) −8.89462 2.90146i −0.405139 0.132158i
\(483\) 2.35378 + 8.74242i 0.107101 + 0.397794i
\(484\) −33.5414 + 20.4472i −1.52461 + 0.929417i
\(485\) −13.0750 19.5681i −0.593705 0.888542i
\(486\) 14.8304 + 16.3113i 0.672722 + 0.739895i
\(487\) −5.60093 2.31998i −0.253802 0.105128i 0.252155 0.967687i \(-0.418861\pi\)
−0.505957 + 0.862559i \(0.668861\pi\)
\(488\) 7.01460 + 3.72183i 0.317536 + 0.168479i
\(489\) 4.70343 + 9.50880i 0.212696 + 0.430003i
\(490\) −17.0488 + 4.78689i −0.770187 + 0.216250i
\(491\) −9.66807 28.4812i −0.436314 1.28534i −0.913608 0.406596i \(-0.866716\pi\)
0.477294 0.878744i \(-0.341618\pi\)
\(492\) 13.7531 0.344691i 0.620037 0.0155399i
\(493\) −1.90003 + 0.936989i −0.0855729 + 0.0421999i
\(494\) −29.6314 + 10.4543i −1.33318 + 0.470362i
\(495\) 47.8105 + 36.5041i 2.14892 + 1.64074i
\(496\) 34.5037 + 7.50174i 1.54926 + 0.336838i
\(497\) −4.58487 17.1110i −0.205660 0.767532i
\(498\) 3.14169 + 21.6619i 0.140782 + 0.970691i
\(499\) 0.112989 1.72387i 0.00505807 0.0771712i −0.994584 0.103940i \(-0.966855\pi\)
0.999642 + 0.0267686i \(0.00852174\pi\)
\(500\) 18.4947 13.0065i 0.827110 0.581666i
\(501\) 5.75800 + 13.8540i 0.257249 + 0.618950i
\(502\) −0.0315324 2.64338i −0.00140736 0.117980i
\(503\) 14.2407 5.89868i 0.634960 0.263009i −0.0418988 0.999122i \(-0.513341\pi\)
0.676859 + 0.736113i \(0.263341\pi\)
\(504\) −14.3621 + 23.3799i −0.639738 + 1.04142i
\(505\) −49.5051 20.5057i −2.20295 0.912490i
\(506\) 11.7479 + 4.70278i 0.522259 + 0.209064i
\(507\) −2.53290 19.0624i −0.112490 0.846589i
\(508\) −1.18625 + 0.524855i −0.0526315 + 0.0232867i
\(509\) −7.91803 + 6.94392i −0.350960 + 0.307784i −0.816615 0.577182i \(-0.804152\pi\)
0.465655 + 0.884966i \(0.345819\pi\)
\(510\) −17.4799 + 0.229513i −0.774025 + 0.0101630i
\(511\) 14.9833 + 8.65064i 0.662824 + 0.382682i
\(512\) −10.4829 + 20.0527i −0.463281 + 0.886211i
\(513\) 23.0475 4.67083i 1.01757 0.206222i
\(514\) 4.60049 + 0.246461i 0.202919 + 0.0108709i
\(515\) 16.7984 49.4864i 0.740225 2.18063i
\(516\) 6.50454 + 0.262876i 0.286347 + 0.0115725i
\(517\) −23.7023 + 48.0636i −1.04243 + 2.11384i
\(518\) 12.2992 + 15.6388i 0.540396 + 0.687129i
\(519\) −11.9154 + 10.4748i −0.523027 + 0.459795i
\(520\) −31.7902 + 38.9790i −1.39409 + 1.70934i
\(521\) −8.20835 19.8167i −0.359614 0.868186i −0.995354 0.0962822i \(-0.969305\pi\)
0.635740 0.771903i \(-0.280695\pi\)
\(522\) 1.68519 4.23924i 0.0737588 0.185546i
\(523\) 22.8256 + 4.54029i 0.998094 + 0.198533i 0.666994 0.745063i \(-0.267581\pi\)
0.331099 + 0.943596i \(0.392581\pi\)
\(524\) 3.95458 8.52598i 0.172756 0.372459i
\(525\) 45.4850 0.0546300i 1.98513 0.00238425i
\(526\) 31.0180 2.40491i 1.35245 0.104859i
\(527\) −4.50143 + 16.7996i −0.196085 + 0.731800i
\(528\) 14.0883 + 35.6693i 0.613116 + 1.55231i
\(529\) 5.27655 + 19.6923i 0.229415 + 0.856189i
\(530\) 17.0046 + 48.1974i 0.738633 + 2.09356i
\(531\) 2.16465 + 31.8536i 0.0939378 + 1.38233i
\(532\) 13.5680 + 25.9346i 0.588247 + 1.12441i
\(533\) 14.6589 + 12.8555i 0.634947 + 0.556834i
\(534\) −15.9637 + 18.6926i −0.690817 + 0.808907i
\(535\) 5.25306 + 4.03082i 0.227110 + 0.174267i
\(536\) −19.9639 31.8866i −0.862310 1.37729i
\(537\) −11.0255 3.72788i −0.475784 0.160870i
\(538\) −7.96143 18.5903i −0.343242 0.801483i
\(539\) −15.9101 + 10.6308i −0.685297 + 0.457901i
\(540\) 27.6101 25.5881i 1.18815 1.10114i
\(541\) 1.16114 + 5.83743i 0.0499212 + 0.250971i 0.997685 0.0680016i \(-0.0216623\pi\)
−0.947764 + 0.318972i \(0.896662\pi\)
\(542\) −1.42318 + 0.300779i −0.0611308 + 0.0129196i
\(543\) −4.94002 + 0.329745i −0.211996 + 0.0141507i
\(544\) −9.61962 5.62865i −0.412438 0.241326i
\(545\) 13.5629 + 23.4916i 0.580969 + 1.00627i
\(546\) −37.4266 + 10.5570i −1.60171 + 0.451797i
\(547\) −5.00219 + 14.7360i −0.213878 + 0.630065i 0.786051 + 0.618162i \(0.212122\pi\)
−0.999929 + 0.0119031i \(0.996211\pi\)
\(548\) −1.28817 4.38619i −0.0550279 0.187369i
\(549\) −1.66299 8.25671i −0.0709747 0.352388i
\(550\) 38.0968 50.8944i 1.62445 2.17014i
\(551\) −2.96238 3.86064i −0.126201 0.164469i
\(552\) 4.15311 6.74264i 0.176768 0.286986i
\(553\) 22.5912 29.4414i 0.960675 1.25198i
\(554\) −22.8668 + 6.42043i −0.971517 + 0.272778i
\(555\) −10.4758 25.2052i −0.444673 1.06990i
\(556\) −2.50681 + 2.30649i −0.106312 + 0.0978171i
\(557\) −5.84940 + 8.75425i −0.247847 + 0.370929i −0.934445 0.356108i \(-0.884103\pi\)
0.686598 + 0.727038i \(0.259103\pi\)
\(558\) −17.0441 33.3486i −0.721534 1.41176i
\(559\) 6.52372 + 6.52372i 0.275924 + 0.275924i
\(560\) 40.1545 + 24.1427i 1.69684 + 1.02022i
\(561\) −17.8802 + 6.09348i −0.754904 + 0.257267i
\(562\) 8.93974 0.693124i 0.377100 0.0292377i
\(563\) −6.75593 0.442807i −0.284728 0.0186621i −0.0776301 0.996982i \(-0.524735\pi\)
−0.207098 + 0.978320i \(0.566402\pi\)
\(564\) 27.1098 + 19.7429i 1.14153 + 0.831328i
\(565\) −4.92471 4.31885i −0.207184 0.181696i
\(566\) −27.6512 + 16.4073i −1.16227 + 0.689648i
\(567\) 28.8357 3.93732i 1.21099 0.165352i
\(568\) −8.14183 + 13.1829i −0.341623 + 0.553142i
\(569\) −9.24724 12.0512i −0.387665 0.505214i 0.558231 0.829686i \(-0.311480\pi\)
−0.945896 + 0.324471i \(0.894814\pi\)
\(570\) −8.35028 39.2774i −0.349755 1.64515i
\(571\) −24.3803 12.0230i −1.02028 0.503148i −0.146371 0.989230i \(-0.546759\pi\)
−0.873914 + 0.486081i \(0.838426\pi\)
\(572\) −19.5958 + 50.6963i −0.819340 + 2.11972i
\(573\) −18.3257 4.88677i −0.765566 0.204148i
\(574\) 9.90934 15.2203i 0.413608 0.635284i
\(575\) −13.1274 −0.547448
\(576\) 23.4981 4.88259i 0.979087 0.203441i
\(577\) −9.22497 −0.384041 −0.192020 0.981391i \(-0.561504\pi\)
−0.192020 + 0.981391i \(0.561504\pi\)
\(578\) −10.1221 + 15.5472i −0.421026 + 0.646677i
\(579\) 30.1527 30.2252i 1.25310 1.25612i
\(580\) −7.26585 2.80849i −0.301698 0.116616i
\(581\) 25.9161 + 12.7804i 1.07518 + 0.530221i
\(582\) −11.8264 + 10.6494i −0.490221 + 0.441432i
\(583\) 33.6202 + 43.8147i 1.39241 + 1.81462i
\(584\) −3.48142 14.7271i −0.144062 0.609410i
\(585\) 53.3499 0.128152i 2.20575 0.00529845i
\(586\) −5.59334 + 3.31890i −0.231059 + 0.137102i
\(587\) 18.2776 + 16.0291i 0.754399 + 0.661590i 0.947560 0.319577i \(-0.103541\pi\)
−0.193161 + 0.981167i \(0.561874\pi\)
\(588\) 4.85826 + 10.9449i 0.200351 + 0.451359i
\(589\) −39.8646 2.61286i −1.64259 0.107661i
\(590\) 54.3543 4.21425i 2.23773 0.173498i
\(591\) 13.0217 + 11.3921i 0.535641 + 0.468608i
\(592\) 2.57710 17.2104i 0.105918 0.707344i
\(593\) −23.8997 23.8997i −0.981442 0.981442i 0.0183891 0.999831i \(-0.494146\pi\)
−0.999831 + 0.0183891i \(0.994146\pi\)
\(594\) 19.7890 35.5390i 0.811952 1.45818i
\(595\) −12.8215 + 19.1888i −0.525632 + 0.786664i
\(596\) −26.5744 28.8824i −1.08853 1.18307i
\(597\) 25.8124 + 3.36673i 1.05643 + 0.137791i
\(598\) 10.8053 3.03386i 0.441861 0.124064i
\(599\) 20.4315 26.6269i 0.834809 1.08794i −0.160093 0.987102i \(-0.551180\pi\)
0.994902 0.100842i \(-0.0321538\pi\)
\(600\) −27.3199 28.9212i −1.11533 1.18070i
\(601\) 4.65001 + 6.06002i 0.189678 + 0.247193i 0.878506 0.477732i \(-0.158541\pi\)
−0.688828 + 0.724925i \(0.741874\pi\)
\(602\) 5.14999 6.87999i 0.209898 0.280407i
\(603\) −12.7355 + 37.8158i −0.518630 + 1.53998i
\(604\) −23.0698 + 6.77531i −0.938695 + 0.275683i
\(605\) 22.8692 67.3706i 0.929766 2.73900i
\(606\) −8.91795 + 35.1203i −0.362267 + 1.42666i
\(607\) 14.3322 + 24.8240i 0.581725 + 1.00758i 0.995275 + 0.0970955i \(0.0309552\pi\)
−0.413550 + 0.910481i \(0.635711\pi\)
\(608\) 8.36986 24.1942i 0.339443 0.981205i
\(609\) −3.35188 5.00343i −0.135825 0.202749i
\(610\) −14.0712 + 2.97384i −0.569725 + 0.120407i
\(611\) 9.27253 + 46.6161i 0.375126 + 1.88589i
\(612\) 1.85020 + 11.6757i 0.0747898 + 0.471964i
\(613\) −4.36553 + 2.91695i −0.176322 + 0.117815i −0.640599 0.767875i \(-0.721314\pi\)
0.464277 + 0.885690i \(0.346314\pi\)
\(614\) 16.8995 + 39.4609i 0.682007 + 1.59251i
\(615\) −18.7136 + 16.4512i −0.754605 + 0.663376i
\(616\) 49.3411 + 11.3457i 1.98801 + 0.457130i
\(617\) −6.69270 5.13549i −0.269438 0.206747i 0.465201 0.885205i \(-0.345982\pi\)
−0.734639 + 0.678458i \(0.762649\pi\)
\(618\) −34.7480 6.43875i −1.39777 0.259004i
\(619\) 24.1825 + 21.2075i 0.971979 + 0.852402i 0.989069 0.147452i \(-0.0471070\pi\)
−0.0170906 + 0.999854i \(0.505440\pi\)
\(620\) −56.6651 + 29.6450i −2.27572 + 1.19057i
\(621\) −8.32357 + 1.12635i −0.334014 + 0.0451987i
\(622\) 7.82504 + 22.1791i 0.313756 + 0.889300i
\(623\) 8.39903 + 31.3456i 0.336500 + 1.25584i
\(624\) 29.1713 + 17.4915i 1.16779 + 0.700219i
\(625\) −0.0894201 + 0.333720i −0.00357680 + 0.0133488i
\(626\) −5.62561 + 0.436170i −0.224845 + 0.0174329i
\(627\) −21.7405 37.5514i −0.868231 1.49966i
\(628\) −8.30886 3.85387i −0.331560 0.153786i
\(629\) 8.40697 + 1.67225i 0.335208 + 0.0666770i
\(630\) −7.19196 49.1725i −0.286535 1.95908i
\(631\) −15.5285 37.4892i −0.618181 1.49242i −0.853814 0.520578i \(-0.825716\pi\)
0.235633 0.971842i \(-0.424284\pi\)
\(632\) −32.2930 + 3.28038i −1.28455 + 0.130487i
\(633\) 0.963176 + 4.81200i 0.0382828 + 0.191260i
\(634\) −0.721009 0.916784i −0.0286349 0.0364101i
\(635\) 1.03910 2.10709i 0.0412355 0.0836174i
\(636\) 30.6044 16.0579i 1.21354 0.636739i
\(637\) −5.45510 + 16.0702i −0.216139 + 0.636725i
\(638\) −8.40535 0.450298i −0.332771 0.0178275i
\(639\) 16.2886 2.18425i 0.644365 0.0864075i
\(640\) −8.71918 40.0433i −0.344656 1.58285i
\(641\) −15.0724 8.70205i −0.595324 0.343710i 0.171876 0.985119i \(-0.445017\pi\)
−0.767200 + 0.641408i \(0.778350\pi\)
\(642\) 2.18766 3.90671i 0.0863401 0.154186i
\(643\) −24.3104 + 21.3197i −0.958710 + 0.840766i −0.987307 0.158825i \(-0.949230\pi\)
0.0285965 + 0.999591i \(0.490896\pi\)
\(644\) −4.22997 9.56039i −0.166684 0.376732i
\(645\) −9.34524 + 7.18870i −0.367968 + 0.283055i
\(646\) 11.7069 + 4.68635i 0.460602 + 0.184382i
\(647\) 9.82246 + 4.06860i 0.386161 + 0.159953i 0.567313 0.823502i \(-0.307983\pi\)
−0.181153 + 0.983455i \(0.557983\pi\)
\(648\) −19.8040 15.9938i −0.777975 0.628295i
\(649\) 54.4259 22.5440i 2.13640 0.884928i
\(650\) −0.672544 56.3797i −0.0263793 2.21139i
\(651\) −49.0267 6.39459i −1.92151 0.250624i
\(652\) −7.04653 10.0199i −0.275964 0.392411i
\(653\) 2.18822 33.3858i 0.0856317 1.30649i −0.711501 0.702685i \(-0.751985\pi\)
0.797133 0.603803i \(-0.206349\pi\)
\(654\) 14.4047 11.3567i 0.563270 0.444082i
\(655\) 4.40561 + 16.4420i 0.172141 + 0.642441i
\(656\) −15.6330 + 2.82232i −0.610365 + 0.110193i
\(657\) −9.74057 + 12.7575i −0.380016 + 0.497717i
\(658\) 41.7514 14.7304i 1.62764 0.574251i
\(659\) −15.6581 + 7.72174i −0.609954 + 0.300796i −0.720909 0.693029i \(-0.756276\pi\)
0.110955 + 0.993825i \(0.464609\pi\)
\(660\) −61.0043 33.2113i −2.37459 1.29275i
\(661\) −0.795811 2.34438i −0.0309535 0.0911860i 0.930355 0.366660i \(-0.119499\pi\)
−0.961309 + 0.275474i \(0.911165\pi\)
\(662\) 0.481042 0.135065i 0.0186962 0.00524944i
\(663\) −9.29109 + 13.9413i −0.360836 + 0.541436i
\(664\) −7.41082 24.1638i −0.287596 0.937736i
\(665\) −48.9757 20.2864i −1.89920 0.786673i
\(666\) −15.8511 + 9.45708i −0.614219 + 0.366454i
\(667\) 0.965645 + 1.44519i 0.0373899 + 0.0559580i
\(668\) −9.01735 14.7920i −0.348892 0.572320i
\(669\) −32.3427 8.62459i −1.25044 0.333446i
\(670\) 64.7771 + 21.1306i 2.50256 + 0.816346i
\(671\) −13.4587 + 7.77041i −0.519569 + 0.299973i
\(672\) 12.2595 29.2157i 0.472922 1.12702i
\(673\) −11.3096 6.52961i −0.435954 0.251698i 0.265926 0.963993i \(-0.414322\pi\)
−0.701880 + 0.712295i \(0.747656\pi\)
\(674\) −16.7713 18.6700i −0.646006 0.719140i
\(675\) −5.35715 + 41.8565i −0.206197 + 1.61106i
\(676\) 6.25702 + 21.3050i 0.240654 + 0.819422i
\(677\) −12.7264 + 0.834131i −0.489114 + 0.0320582i −0.307966 0.951397i \(-0.599648\pi\)
−0.181149 + 0.983456i \(0.557982\pi\)
\(678\) −2.41229 + 3.71493i −0.0926436 + 0.142671i
\(679\) 2.74231 + 20.8299i 0.105240 + 0.799378i
\(680\) 19.9061 3.34911i 0.763363 0.128432i
\(681\) −0.252201 + 3.91998i −0.00966436 + 0.150214i
\(682\) −48.2776 + 49.4433i −1.84865 + 1.89328i
\(683\) 45.7918 + 9.10856i 1.75218 + 0.348529i 0.963792 0.266655i \(-0.0859184\pi\)
0.788383 + 0.615184i \(0.210918\pi\)
\(684\) −25.4749 + 9.40048i −0.974058 + 0.359436i
\(685\) 6.88418 + 4.59986i 0.263031 + 0.175752i
\(686\) −15.9288 2.97137i −0.608164 0.113448i
\(687\) 0.598648 3.02861i 0.0228398 0.115549i
\(688\) −7.46885 + 0.848823i −0.284747 + 0.0323611i
\(689\) 47.3123 + 12.6773i 1.80246 + 0.482967i
\(690\) 2.05861 + 14.1941i 0.0783700 + 0.540359i
\(691\) 11.2935 5.56931i 0.429623 0.211867i −0.214604 0.976701i \(-0.568846\pi\)
0.644227 + 0.764835i \(0.277179\pi\)
\(692\) 11.7468 14.0574i 0.446546 0.534383i
\(693\) −23.8665 48.1048i −0.906613 1.82735i
\(694\) 2.04152 + 3.44058i 0.0774951 + 0.130603i
\(695\) 0.805294 6.11682i 0.0305466 0.232024i
\(696\) −1.17429 + 5.13508i −0.0445112 + 0.194645i
\(697\) −1.02132 7.75771i −0.0386853 0.293844i
\(698\) 12.1493 + 15.4482i 0.459857 + 0.584722i
\(699\) 16.6525 + 21.6480i 0.629854 + 0.818803i
\(700\) −51.8939 + 8.09564i −1.96141 + 0.305986i
\(701\) 1.69367 + 8.51465i 0.0639690 + 0.321594i 0.999499 0.0316537i \(-0.0100774\pi\)
−0.935530 + 0.353248i \(0.885077\pi\)
\(702\) −5.26389 35.6906i −0.198673 1.34706i
\(703\) 19.6893i 0.742595i
\(704\) −22.3761 38.2145i −0.843331 1.44026i
\(705\) −60.6053 + 4.04539i −2.28253 + 0.152358i
\(706\) 38.7371 19.6809i 1.45789 0.740699i
\(707\) 31.5401 + 35.9646i 1.18619 + 1.35259i
\(708\) −8.09590 35.9662i −0.304263 1.35169i
\(709\) −38.0987 + 2.49712i −1.43083 + 0.0937813i −0.761007 0.648743i \(-0.775295\pi\)
−0.669819 + 0.742525i \(0.733628\pi\)
\(710\) −3.99453 27.7770i −0.149912 1.04245i
\(711\) 24.4028 + 24.2858i 0.915176 + 0.910790i
\(712\) 14.9150 24.1498i 0.558964 0.905052i
\(713\) 14.1473 + 1.86252i 0.529819 + 0.0697520i
\(714\) 14.0861 + 6.71803i 0.527158 + 0.251416i
\(715\) −31.6421 93.2147i −1.18335 3.48603i
\(716\) 13.2397 + 2.30668i 0.494791 + 0.0862047i
\(717\) −0.0216946 18.0630i −0.000810201 0.674575i
\(718\) 1.00136 0.686506i 0.0373705 0.0256202i
\(719\) −20.1633 20.1633i −0.751963 0.751963i 0.222882 0.974845i \(-0.428453\pi\)
−0.974845 + 0.222882i \(0.928453\pi\)
\(720\) −26.9870 + 34.0753i −1.00575 + 1.26991i
\(721\) −32.9890 + 32.9890i −1.22857 + 1.22857i
\(722\) −0.384255 + 2.05990i −0.0143005 + 0.0766615i
\(723\) −5.74120 9.91653i −0.213518 0.368800i
\(724\) 5.57888 1.24875i 0.207338 0.0464096i
\(725\) 8.26869 2.80684i 0.307092 0.104244i
\(726\) −47.3057 8.76568i −1.75568 0.325325i
\(727\) 5.88837 44.7266i 0.218388 1.65882i −0.433984 0.900920i \(-0.642893\pi\)
0.652372 0.757899i \(-0.273774\pi\)
\(728\) 40.8435 18.6568i 1.51376 0.691467i
\(729\) 0.194569 + 26.9993i 0.00720626 + 0.999974i
\(730\) 21.9417 + 16.4244i 0.812099 + 0.607894i
\(731\) −0.242157 3.69461i −0.00895652 0.136650i
\(732\) 3.35591 + 9.12814i 0.124038 + 0.337386i
\(733\) 37.9555 33.2860i 1.40192 1.22945i 0.462523 0.886607i \(-0.346944\pi\)
0.939394 0.342840i \(-0.111389\pi\)
\(734\) 45.7123 + 14.9116i 1.68727 + 0.550396i
\(735\) −19.4628 9.56894i −0.717896 0.352956i
\(736\) −3.54833 + 8.42762i −0.130793 + 0.310646i
\(737\) 73.6265 2.71207
\(738\) 12.8259 + 10.9269i 0.472127 + 0.402223i
\(739\) −32.4256 + 6.44985i −1.19279 + 0.237261i −0.751274 0.659990i \(-0.770560\pi\)
−0.441519 + 0.897252i \(0.645560\pi\)
\(740\) 16.4057 + 26.9118i 0.603085 + 0.989297i
\(741\) −35.5717 14.6843i −1.30676 0.539440i
\(742\) 5.41542 45.3037i 0.198806 1.66315i
\(743\) 41.1020 5.41118i 1.50789 0.198517i 0.669180 0.743100i \(-0.266646\pi\)
0.838707 + 0.544583i \(0.183312\pi\)
\(744\) 25.3391 + 35.0443i 0.928976 + 1.28479i
\(745\) 70.4754 + 9.27827i 2.58202 + 0.339929i
\(746\) −5.76925 1.47234i −0.211227 0.0539062i
\(747\) −14.8400 + 22.3256i −0.542969 + 0.816851i
\(748\) 19.3272 10.1113i 0.706672 0.369704i
\(749\) −2.61437 5.30143i −0.0955271 0.193710i
\(750\) 27.5000 + 3.25374i 1.00416 + 0.118810i
\(751\) 1.38913 5.18430i 0.0506900 0.189178i −0.935938 0.352164i \(-0.885446\pi\)
0.986628 + 0.162986i \(0.0521126\pi\)
\(752\) −34.4222 17.7410i −1.25525 0.646946i
\(753\) 2.13184 2.43679i 0.0776885 0.0888017i
\(754\) −6.15737 + 4.22132i −0.224238 + 0.153731i
\(755\) 24.1936 36.2083i 0.880496 1.31775i
\(756\) −32.2094 + 9.58572i −1.17145 + 0.348629i
\(757\) 4.06035 20.4128i 0.147576 0.741915i −0.834138 0.551555i \(-0.814035\pi\)
0.981714 0.190360i \(-0.0609654\pi\)
\(758\) 24.2807 0.289640i 0.881914 0.0105202i
\(759\) 6.87138 + 13.8917i 0.249415 + 0.504237i
\(760\) 16.4656 + 43.3452i 0.597269 + 1.57230i
\(761\) −52.6530 + 6.93189i −1.90867 + 0.251281i −0.989711 0.143078i \(-0.954300\pi\)
−0.918957 + 0.394359i \(0.870967\pi\)
\(762\) −1.51097 0.490880i −0.0547368 0.0177827i
\(763\) −1.58378 24.1639i −0.0573368 0.874791i
\(764\) 21.7748 + 2.33978i 0.787783 + 0.0846504i
\(765\) −16.1310 14.0781i −0.583217 0.508995i
\(766\) 0.540577 10.0905i 0.0195318 0.364585i
\(767\) 26.1239 45.2479i 0.943278 1.63381i
\(768\) −25.9517 + 9.72169i −0.936450 + 0.350801i
\(769\) −7.74389 13.4128i −0.279252 0.483678i 0.691947 0.721948i \(-0.256753\pi\)
−0.971199 + 0.238270i \(0.923420\pi\)
\(770\) −81.7501 + 41.5342i −2.94607 + 1.49679i
\(771\) 3.99464 + 3.98506i