Properties

Label 144.2.x.e.133.3
Level $144$
Weight $2$
Character 144.133
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 133.3
Character \(\chi\) \(=\) 144.133
Dual form 144.2.x.e.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17822 + 0.782180i) q^{2} +(1.34849 - 1.08700i) q^{3} +(0.776390 - 1.84315i) q^{4} +(-0.777246 + 2.90072i) q^{5} +(-0.738585 + 2.33549i) q^{6} +(1.04527 + 0.603486i) q^{7} +(0.526922 + 2.77891i) q^{8} +(0.636858 - 2.93162i) q^{9} +O(q^{10})\) \(q+(-1.17822 + 0.782180i) q^{2} +(1.34849 - 1.08700i) q^{3} +(0.776390 - 1.84315i) q^{4} +(-0.777246 + 2.90072i) q^{5} +(-0.738585 + 2.33549i) q^{6} +(1.04527 + 0.603486i) q^{7} +(0.526922 + 2.77891i) q^{8} +(0.636858 - 2.93162i) q^{9} +(-1.35312 - 4.02562i) q^{10} +(5.09718 - 1.36579i) q^{11} +(-0.956555 - 3.32941i) q^{12} +(2.02149 + 0.541655i) q^{13} +(-1.70359 + 0.106550i) q^{14} +(2.10498 + 4.75646i) q^{15} +(-2.79444 - 2.86201i) q^{16} -3.20404 q^{17} +(1.54270 + 3.95222i) q^{18} +(-1.87633 + 1.87633i) q^{19} +(4.74303 + 3.68467i) q^{20} +(2.06553 - 0.322412i) q^{21} +(-4.93730 + 5.59610i) q^{22} +(-3.61927 + 2.08959i) q^{23} +(3.73123 + 3.17457i) q^{24} +(-3.47994 - 2.00914i) q^{25} +(-2.80542 + 0.942977i) q^{26} +(-2.32788 - 4.64553i) q^{27} +(1.92385 - 1.45805i) q^{28} +(-2.12804 - 7.94194i) q^{29} +(-6.20053 - 3.95768i) q^{30} +(1.39155 + 2.41023i) q^{31} +(5.53106 + 1.18632i) q^{32} +(5.38890 - 7.38239i) q^{33} +(3.77505 - 2.50613i) q^{34} +(-2.56298 + 2.56298i) q^{35} +(-4.90898 - 3.44991i) q^{36} +(-5.10207 - 5.10207i) q^{37} +(0.743096 - 3.67835i) q^{38} +(3.31474 - 1.46694i) q^{39} +(-8.47040 - 0.631444i) q^{40} +(-9.93271 + 5.73465i) q^{41} +(-2.18145 + 1.99548i) q^{42} +(1.09409 - 0.293160i) q^{43} +(1.44005 - 10.4553i) q^{44} +(8.00882 + 4.12594i) q^{45} +(2.62985 - 5.29290i) q^{46} +(-1.84507 + 3.19576i) q^{47} +(-6.87929 - 0.821845i) q^{48} +(-2.77161 - 4.80057i) q^{49} +(5.67164 - 0.354731i) q^{50} +(-4.32062 + 3.48279i) q^{51} +(2.56782 - 3.30537i) q^{52} +(-0.613957 - 0.613957i) q^{53} +(6.37639 + 3.65263i) q^{54} +15.8471i q^{55} +(-1.12626 + 3.22270i) q^{56} +(-0.490642 + 4.56978i) q^{57} +(8.71931 + 7.69282i) q^{58} +(3.16461 - 11.8105i) q^{59} +(10.4012 - 0.186926i) q^{60} +(1.98418 + 7.40505i) q^{61} +(-3.52478 - 1.75134i) q^{62} +(2.43488 - 2.68000i) q^{63} +(-7.44471 + 2.92854i) q^{64} +(-3.14238 + 5.44277i) q^{65} +(-0.574932 + 12.9131i) q^{66} +(9.86577 + 2.64353i) q^{67} +(-2.48758 + 5.90554i) q^{68} +(-2.60917 + 6.75194i) q^{69} +(1.01503 - 5.02445i) q^{70} -12.8889i q^{71} +(8.48230 + 0.225037i) q^{72} +2.87605i q^{73} +(10.0021 + 2.02061i) q^{74} +(-6.87661 + 1.07338i) q^{75} +(2.00160 + 4.91512i) q^{76} +(6.15216 + 1.64847i) q^{77} +(-2.75807 + 4.32109i) q^{78} +(-0.913281 + 1.58185i) q^{79} +(10.4739 - 5.88139i) q^{80} +(-8.18882 - 3.73406i) q^{81} +(7.21736 - 14.5258i) q^{82} +(0.757618 + 2.82747i) q^{83} +(1.00940 - 4.05740i) q^{84} +(2.49032 - 9.29402i) q^{85} +(-1.05977 + 1.20118i) q^{86} +(-11.5025 - 8.39646i) q^{87} +(6.48122 + 13.4450i) q^{88} -2.11965i q^{89} +(-12.6634 + 1.40309i) q^{90} +(1.78611 + 1.78611i) q^{91} +(1.04147 + 8.29321i) q^{92} +(4.49642 + 1.73756i) q^{93} +(-0.325762 - 5.20848i) q^{94} +(-3.98433 - 6.90107i) q^{95} +(8.74812 - 4.41252i) q^{96} +(-3.06298 + 5.30524i) q^{97} +(7.02046 + 3.48821i) q^{98} +(-0.757786 - 15.8128i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} + O(q^{10}) \) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17822 + 0.782180i −0.833125 + 0.553085i
\(3\) 1.34849 1.08700i 0.778552 0.627580i
\(4\) 0.776390 1.84315i 0.388195 0.921577i
\(5\) −0.777246 + 2.90072i −0.347595 + 1.29724i 0.541957 + 0.840406i \(0.317684\pi\)
−0.889551 + 0.456835i \(0.848983\pi\)
\(6\) −0.738585 + 2.33549i −0.301526 + 0.953458i
\(7\) 1.04527 + 0.603486i 0.395074 + 0.228096i 0.684357 0.729148i \(-0.260083\pi\)
−0.289282 + 0.957244i \(0.593417\pi\)
\(8\) 0.526922 + 2.77891i 0.186295 + 0.982494i
\(9\) 0.636858 2.93162i 0.212286 0.977208i
\(10\) −1.35312 4.02562i −0.427894 1.27301i
\(11\) 5.09718 1.36579i 1.53686 0.411800i 0.611609 0.791160i \(-0.290522\pi\)
0.925249 + 0.379360i \(0.123856\pi\)
\(12\) −0.956555 3.32941i −0.276134 0.961119i
\(13\) 2.02149 + 0.541655i 0.560659 + 0.150228i 0.528009 0.849239i \(-0.322939\pi\)
0.0326501 + 0.999467i \(0.489605\pi\)
\(14\) −1.70359 + 0.106550i −0.455303 + 0.0284768i
\(15\) 2.10498 + 4.75646i 0.543503 + 1.22811i
\(16\) −2.79444 2.86201i −0.698609 0.715503i
\(17\) −3.20404 −0.777093 −0.388547 0.921429i \(-0.627023\pi\)
−0.388547 + 0.921429i \(0.627023\pi\)
\(18\) 1.54270 + 3.95222i 0.363617 + 0.931548i
\(19\) −1.87633 + 1.87633i −0.430459 + 0.430459i −0.888784 0.458325i \(-0.848449\pi\)
0.458325 + 0.888784i \(0.348449\pi\)
\(20\) 4.74303 + 3.68467i 1.06057 + 0.823918i
\(21\) 2.06553 0.322412i 0.450735 0.0703561i
\(22\) −4.93730 + 5.59610i −1.05264 + 1.19309i
\(23\) −3.61927 + 2.08959i −0.754670 + 0.435709i −0.827379 0.561644i \(-0.810169\pi\)
0.0727090 + 0.997353i \(0.476836\pi\)
\(24\) 3.73123 + 3.17457i 0.761634 + 0.648007i
\(25\) −3.47994 2.00914i −0.695988 0.401829i
\(26\) −2.80542 + 0.942977i −0.550188 + 0.184933i
\(27\) −2.32788 4.64553i −0.448000 0.894033i
\(28\) 1.92385 1.45805i 0.363574 0.275546i
\(29\) −2.12804 7.94194i −0.395166 1.47478i −0.821496 0.570214i \(-0.806860\pi\)
0.426330 0.904568i \(-0.359806\pi\)
\(30\) −6.20053 3.95768i −1.13206 0.722569i
\(31\) 1.39155 + 2.41023i 0.249930 + 0.432891i 0.963506 0.267687i \(-0.0862592\pi\)
−0.713576 + 0.700577i \(0.752926\pi\)
\(32\) 5.53106 + 1.18632i 0.977763 + 0.209714i
\(33\) 5.38890 7.38239i 0.938087 1.28511i
\(34\) 3.77505 2.50613i 0.647416 0.429798i
\(35\) −2.56298 + 2.56298i −0.433222 + 0.433222i
\(36\) −4.90898 3.44991i −0.818164 0.574985i
\(37\) −5.10207 5.10207i −0.838775 0.838775i 0.149922 0.988698i \(-0.452098\pi\)
−0.988698 + 0.149922i \(0.952098\pi\)
\(38\) 0.743096 3.67835i 0.120546 0.596707i
\(39\) 3.31474 1.46694i 0.530783 0.234898i
\(40\) −8.47040 0.631444i −1.33929 0.0998400i
\(41\) −9.93271 + 5.73465i −1.55123 + 0.895602i −0.553186 + 0.833058i \(0.686588\pi\)
−0.998042 + 0.0625444i \(0.980078\pi\)
\(42\) −2.18145 + 1.99548i −0.336606 + 0.307910i
\(43\) 1.09409 0.293160i 0.166847 0.0447065i −0.174428 0.984670i \(-0.555808\pi\)
0.341275 + 0.939963i \(0.389141\pi\)
\(44\) 1.44005 10.4553i 0.217095 1.57619i
\(45\) 8.00882 + 4.12594i 1.19388 + 0.615059i
\(46\) 2.62985 5.29290i 0.387751 0.780396i
\(47\) −1.84507 + 3.19576i −0.269132 + 0.466150i −0.968638 0.248477i \(-0.920070\pi\)
0.699506 + 0.714627i \(0.253403\pi\)
\(48\) −6.87929 0.821845i −0.992939 0.118623i
\(49\) −2.77161 4.80057i −0.395944 0.685795i
\(50\) 5.67164 0.354731i 0.802091 0.0501665i
\(51\) −4.32062 + 3.48279i −0.605007 + 0.487688i
\(52\) 2.56782 3.30537i 0.356092 0.458373i
\(53\) −0.613957 0.613957i −0.0843335 0.0843335i 0.663682 0.748015i \(-0.268993\pi\)
−0.748015 + 0.663682i \(0.768993\pi\)
\(54\) 6.37639 + 3.65263i 0.867716 + 0.497060i
\(55\) 15.8471i 2.13682i
\(56\) −1.12626 + 3.22270i −0.150503 + 0.430651i
\(57\) −0.490642 + 4.56978i −0.0649871 + 0.605282i
\(58\) 8.71931 + 7.69282i 1.14490 + 1.01012i
\(59\) 3.16461 11.8105i 0.411997 1.53759i −0.378779 0.925487i \(-0.623656\pi\)
0.790776 0.612106i \(-0.209677\pi\)
\(60\) 10.4012 0.186926i 1.34279 0.0241320i
\(61\) 1.98418 + 7.40505i 0.254048 + 0.948119i 0.968618 + 0.248555i \(0.0799557\pi\)
−0.714570 + 0.699564i \(0.753378\pi\)
\(62\) −3.52478 1.75134i −0.447648 0.222420i
\(63\) 2.43488 2.68000i 0.306766 0.337648i
\(64\) −7.44471 + 2.92854i −0.930588 + 0.366068i
\(65\) −3.14238 + 5.44277i −0.389765 + 0.675092i
\(66\) −0.574932 + 12.9131i −0.0707692 + 1.58950i
\(67\) 9.86577 + 2.64353i 1.20530 + 0.322958i 0.804915 0.593391i \(-0.202211\pi\)
0.400381 + 0.916349i \(0.368878\pi\)
\(68\) −2.48758 + 5.90554i −0.301664 + 0.716152i
\(69\) −2.60917 + 6.75194i −0.314107 + 0.812838i
\(70\) 1.01503 5.02445i 0.121320 0.600536i
\(71\) 12.8889i 1.52963i −0.644251 0.764814i \(-0.722831\pi\)
0.644251 0.764814i \(-0.277169\pi\)
\(72\) 8.48230 + 0.225037i 0.999648 + 0.0265208i
\(73\) 2.87605i 0.336616i 0.985734 + 0.168308i \(0.0538304\pi\)
−0.985734 + 0.168308i \(0.946170\pi\)
\(74\) 10.0021 + 2.02061i 1.16272 + 0.234891i
\(75\) −6.87661 + 1.07338i −0.794043 + 0.123944i
\(76\) 2.00160 + 4.91512i 0.229599 + 0.563803i
\(77\) 6.15216 + 1.64847i 0.701104 + 0.187860i
\(78\) −2.75807 + 4.32109i −0.312290 + 0.489267i
\(79\) −0.913281 + 1.58185i −0.102752 + 0.177972i −0.912818 0.408367i \(-0.866098\pi\)
0.810065 + 0.586339i \(0.199432\pi\)
\(80\) 10.4739 5.88139i 1.17101 0.657560i
\(81\) −8.18882 3.73406i −0.909869 0.414895i
\(82\) 7.21736 14.5258i 0.797024 1.60411i
\(83\) 0.757618 + 2.82747i 0.0831594 + 0.310355i 0.994959 0.100280i \(-0.0319738\pi\)
−0.911800 + 0.410635i \(0.865307\pi\)
\(84\) 1.00940 4.05740i 0.110134 0.442699i
\(85\) 2.49032 9.29402i 0.270114 1.00808i
\(86\) −1.05977 + 1.20118i −0.114278 + 0.129527i
\(87\) −11.5025 8.39646i −1.23320 0.900195i
\(88\) 6.48122 + 13.4450i 0.690900 + 1.43324i
\(89\) 2.11965i 0.224682i −0.993670 0.112341i \(-0.964165\pi\)
0.993670 0.112341i \(-0.0358349\pi\)
\(90\) −12.6634 + 1.40309i −1.33483 + 0.147898i
\(91\) 1.78611 + 1.78611i 0.187236 + 0.187236i
\(92\) 1.04147 + 8.29321i 0.108580 + 0.864626i
\(93\) 4.49642 + 1.73756i 0.466257 + 0.180177i
\(94\) −0.325762 5.20848i −0.0335998 0.537214i
\(95\) −3.98433 6.90107i −0.408784 0.708035i
\(96\) 8.74812 4.41252i 0.892851 0.450351i
\(97\) −3.06298 + 5.30524i −0.310999 + 0.538666i −0.978579 0.205872i \(-0.933997\pi\)
0.667580 + 0.744538i \(0.267330\pi\)
\(98\) 7.02046 + 3.48821i 0.709174 + 0.352363i
\(99\) −0.757786 15.8128i −0.0761603 1.58925i
\(100\) −6.40496 + 4.85419i −0.640496 + 0.485419i
\(101\) 12.6207 3.38172i 1.25581 0.336493i 0.431232 0.902241i \(-0.358079\pi\)
0.824579 + 0.565748i \(0.191412\pi\)
\(102\) 2.36646 7.48298i 0.234314 0.740926i
\(103\) −11.4364 + 6.60279i −1.12686 + 0.650592i −0.943143 0.332387i \(-0.892146\pi\)
−0.183715 + 0.982979i \(0.558813\pi\)
\(104\) −0.440048 + 5.90294i −0.0431502 + 0.578831i
\(105\) −0.670194 + 6.24211i −0.0654042 + 0.609167i
\(106\) 1.20360 + 0.243150i 0.116904 + 0.0236168i
\(107\) 6.92566 + 6.92566i 0.669529 + 0.669529i 0.957607 0.288078i \(-0.0930163\pi\)
−0.288078 + 0.957607i \(0.593016\pi\)
\(108\) −10.3698 + 0.683893i −0.997832 + 0.0658077i
\(109\) −5.36289 + 5.36289i −0.513672 + 0.513672i −0.915650 0.401977i \(-0.868323\pi\)
0.401977 + 0.915650i \(0.368323\pi\)
\(110\) −12.3952 18.6713i −1.18184 1.78024i
\(111\) −12.4261 1.33414i −1.17943 0.126631i
\(112\) −1.19375 4.67798i −0.112799 0.442027i
\(113\) 3.03493 + 5.25666i 0.285502 + 0.494505i 0.972731 0.231937i \(-0.0745062\pi\)
−0.687228 + 0.726441i \(0.741173\pi\)
\(114\) −2.99631 5.76796i −0.280630 0.540219i
\(115\) −3.24824 12.1226i −0.302900 1.13044i
\(116\) −16.2904 2.24374i −1.51253 0.208326i
\(117\) 2.87533 5.58128i 0.265824 0.515989i
\(118\) 5.50932 + 16.3906i 0.507174 + 1.50888i
\(119\) −3.34908 1.93359i −0.307010 0.177252i
\(120\) −12.1086 + 8.35583i −1.10536 + 0.762779i
\(121\) 14.5896 8.42332i 1.32633 0.765757i
\(122\) −8.12987 7.17277i −0.736043 0.649392i
\(123\) −7.16060 + 18.5300i −0.645650 + 1.67079i
\(124\) 5.52282 0.693558i 0.495964 0.0622834i
\(125\) −2.08464 + 2.08464i −0.186456 + 0.186456i
\(126\) −0.772579 + 5.06213i −0.0688268 + 0.450971i
\(127\) 11.7086 1.03897 0.519484 0.854480i \(-0.326124\pi\)
0.519484 + 0.854480i \(0.326124\pi\)
\(128\) 6.48083 9.27355i 0.572830 0.819674i
\(129\) 1.15670 1.58460i 0.101842 0.139516i
\(130\) −0.554813 8.87067i −0.0486603 0.778009i
\(131\) 8.63027 + 2.31247i 0.754030 + 0.202042i 0.615305 0.788289i \(-0.289033\pi\)
0.138725 + 0.990331i \(0.455700\pi\)
\(132\) −9.42300 15.6642i −0.820167 1.36339i
\(133\) −3.09360 + 0.828929i −0.268250 + 0.0718772i
\(134\) −13.6917 + 4.60216i −1.18279 + 0.397566i
\(135\) 15.2847 3.14180i 1.31550 0.270403i
\(136\) −1.68828 8.90374i −0.144769 0.763489i
\(137\) −1.32169 0.763080i −0.112920 0.0651943i 0.442476 0.896780i \(-0.354100\pi\)
−0.555396 + 0.831586i \(0.687433\pi\)
\(138\) −2.20706 9.99609i −0.187877 0.850923i
\(139\) 4.51685 16.8571i 0.383114 1.42980i −0.458004 0.888950i \(-0.651435\pi\)
0.841118 0.540852i \(-0.181898\pi\)
\(140\) 2.73409 + 6.71383i 0.231073 + 0.567422i
\(141\) 0.985729 + 6.31505i 0.0830134 + 0.531823i
\(142\) 10.0814 + 15.1859i 0.846013 + 1.27437i
\(143\) 11.0437 0.923518
\(144\) −10.1700 + 6.36954i −0.847500 + 0.530795i
\(145\) 24.6914 2.05051
\(146\) −2.24959 3.38861i −0.186177 0.280444i
\(147\) −8.95571 3.46078i −0.738655 0.285441i
\(148\) −13.3651 + 5.44271i −1.09860 + 0.447388i
\(149\) −4.58523 + 17.1123i −0.375637 + 1.40189i 0.476776 + 0.879025i \(0.341805\pi\)
−0.852412 + 0.522870i \(0.824861\pi\)
\(150\) 7.26256 6.64343i 0.592986 0.542433i
\(151\) −4.49848 2.59720i −0.366081 0.211357i 0.305664 0.952139i \(-0.401122\pi\)
−0.671745 + 0.740783i \(0.734455\pi\)
\(152\) −6.20283 4.22547i −0.503116 0.342731i
\(153\) −2.04052 + 9.39303i −0.164966 + 0.759381i
\(154\) −8.53797 + 2.86984i −0.688010 + 0.231259i
\(155\) −8.07299 + 2.16315i −0.648438 + 0.173748i
\(156\) −0.130267 7.24849i −0.0104297 0.580343i
\(157\) −10.2527 2.74719i −0.818252 0.219250i −0.174670 0.984627i \(-0.555886\pi\)
−0.643582 + 0.765377i \(0.722552\pi\)
\(158\) −0.161247 2.57811i −0.0128281 0.205104i
\(159\) −1.49529 0.160544i −0.118584 0.0127320i
\(160\) −7.74018 + 15.1220i −0.611915 + 1.19550i
\(161\) −5.04415 −0.397534
\(162\) 12.5689 2.00560i 0.987507 0.157575i
\(163\) 2.62311 2.62311i 0.205458 0.205458i −0.596876 0.802334i \(-0.703591\pi\)
0.802334 + 0.596876i \(0.203591\pi\)
\(164\) 2.85819 + 22.7598i 0.223187 + 1.77725i
\(165\) 17.2258 + 21.3696i 1.34102 + 1.66362i
\(166\) −3.10423 2.73878i −0.240935 0.212570i
\(167\) 5.07413 2.92955i 0.392648 0.226695i −0.290659 0.956827i \(-0.593874\pi\)
0.683307 + 0.730131i \(0.260541\pi\)
\(168\) 1.98433 + 5.57003i 0.153094 + 0.429737i
\(169\) −7.46532 4.31010i −0.574255 0.331546i
\(170\) 4.33545 + 12.8982i 0.332514 + 0.989251i
\(171\) 4.30573 + 6.69564i 0.329267 + 0.512028i
\(172\) 0.309100 2.24418i 0.0235687 0.171117i
\(173\) −0.192903 0.719924i −0.0146662 0.0547348i 0.958205 0.286083i \(-0.0923532\pi\)
−0.972871 + 0.231348i \(0.925686\pi\)
\(174\) 20.1200 + 0.895804i 1.52529 + 0.0679107i
\(175\) −2.42498 4.20019i −0.183311 0.317505i
\(176\) −18.1527 10.7716i −1.36831 0.811940i
\(177\) −8.57055 19.3663i −0.644202 1.45566i
\(178\) 1.65794 + 2.49740i 0.124268 + 0.187188i
\(179\) −0.114862 + 0.114862i −0.00858517 + 0.00858517i −0.711386 0.702801i \(-0.751932\pi\)
0.702801 + 0.711386i \(0.251932\pi\)
\(180\) 13.8227 11.5582i 1.03028 0.861494i
\(181\) −7.86110 7.86110i −0.584311 0.584311i 0.351774 0.936085i \(-0.385578\pi\)
−0.936085 + 0.351774i \(0.885578\pi\)
\(182\) −3.50149 0.707368i −0.259548 0.0524336i
\(183\) 10.7249 + 7.82884i 0.792810 + 0.578724i
\(184\) −7.71385 8.95658i −0.568672 0.660288i
\(185\) 18.7652 10.8341i 1.37965 0.796540i
\(186\) −6.65684 + 1.46978i −0.488103 + 0.107769i
\(187\) −16.3316 + 4.37603i −1.19428 + 0.320007i
\(188\) 4.45779 + 5.88191i 0.325117 + 0.428983i
\(189\) 0.370257 6.26067i 0.0269322 0.455397i
\(190\) 10.0923 + 5.01449i 0.732171 + 0.363789i
\(191\) 2.25437 3.90468i 0.163120 0.282532i −0.772866 0.634569i \(-0.781178\pi\)
0.935986 + 0.352037i \(0.114511\pi\)
\(192\) −6.85580 + 12.0415i −0.494775 + 0.869021i
\(193\) 9.64610 + 16.7075i 0.694342 + 1.20264i 0.970402 + 0.241495i \(0.0776377\pi\)
−0.276060 + 0.961140i \(0.589029\pi\)
\(194\) −0.540794 8.64653i −0.0388268 0.620785i
\(195\) 1.67882 + 10.7553i 0.120222 + 0.770203i
\(196\) −11.0000 + 1.38139i −0.785717 + 0.0986708i
\(197\) −6.03688 6.03688i −0.430110 0.430110i 0.458556 0.888666i \(-0.348367\pi\)
−0.888666 + 0.458556i \(0.848367\pi\)
\(198\) 13.2613 + 18.0382i 0.942440 + 1.28192i
\(199\) 8.81333i 0.624760i −0.949957 0.312380i \(-0.898874\pi\)
0.949957 0.312380i \(-0.101126\pi\)
\(200\) 3.74958 10.7291i 0.265135 0.758663i
\(201\) 16.1774 7.15933i 1.14107 0.504980i
\(202\) −12.2249 + 13.8561i −0.860138 + 0.974911i
\(203\) 2.56848 9.58570i 0.180272 0.672784i
\(204\) 3.06484 + 10.6676i 0.214582 + 0.746879i
\(205\) −8.91447 33.2692i −0.622613 2.32362i
\(206\) 8.30995 16.7248i 0.578982 1.16527i
\(207\) 3.82092 + 11.9411i 0.265572 + 0.829964i
\(208\) −4.09869 7.29914i −0.284193 0.506104i
\(209\) −7.00132 + 12.1266i −0.484292 + 0.838818i
\(210\) −4.09281 7.87877i −0.282431 0.543687i
\(211\) −0.976416 0.261630i −0.0672192 0.0180113i 0.225053 0.974347i \(-0.427745\pi\)
−0.292272 + 0.956335i \(0.594411\pi\)
\(212\) −1.60829 + 0.654948i −0.110458 + 0.0449820i
\(213\) −14.0102 17.3805i −0.959964 1.19089i
\(214\) −13.5770 2.74282i −0.928107 0.187495i
\(215\) 3.40150i 0.231981i
\(216\) 11.6829 8.91680i 0.794922 0.606712i
\(217\) 3.35912i 0.228032i
\(218\) 2.12391 10.5134i 0.143849 0.712057i
\(219\) 3.12627 + 3.87833i 0.211254 + 0.262073i
\(220\) 29.2086 + 12.3035i 1.96924 + 0.829501i
\(221\) −6.47692 1.73548i −0.435685 0.116741i
\(222\) 15.6841 8.14750i 1.05265 0.546824i
\(223\) −4.44475 + 7.69854i −0.297643 + 0.515532i −0.975596 0.219573i \(-0.929534\pi\)
0.677954 + 0.735105i \(0.262867\pi\)
\(224\) 5.06552 + 4.57794i 0.338454 + 0.305877i
\(225\) −8.10628 + 8.92233i −0.540419 + 0.594822i
\(226\) −7.68746 3.81962i −0.511362 0.254077i
\(227\) 5.82630 + 21.7441i 0.386705 + 1.44320i 0.835461 + 0.549550i \(0.185201\pi\)
−0.448756 + 0.893655i \(0.648133\pi\)
\(228\) 8.04188 + 4.45226i 0.532587 + 0.294858i
\(229\) −3.58930 + 13.3954i −0.237187 + 0.885196i 0.739963 + 0.672647i \(0.234843\pi\)
−0.977151 + 0.212548i \(0.931824\pi\)
\(230\) 13.3092 + 11.7424i 0.877582 + 0.774268i
\(231\) 10.0880 4.46446i 0.663743 0.293740i
\(232\) 20.9486 10.0984i 1.37535 0.662993i
\(233\) 6.70075i 0.438981i 0.975615 + 0.219491i \(0.0704395\pi\)
−0.975615 + 0.219491i \(0.929561\pi\)
\(234\) 0.977798 + 8.82498i 0.0639207 + 0.576907i
\(235\) −7.83593 7.83593i −0.511160 0.511160i
\(236\) −19.3116 15.0024i −1.25708 0.976573i
\(237\) 0.487920 + 3.12585i 0.0316938 + 0.203046i
\(238\) 5.45836 0.341391i 0.353813 0.0221291i
\(239\) 1.04479 + 1.80963i 0.0675819 + 0.117055i 0.897836 0.440329i \(-0.145138\pi\)
−0.830254 + 0.557385i \(0.811805\pi\)
\(240\) 7.73084 19.3161i 0.499023 1.24685i
\(241\) 4.31263 7.46970i 0.277801 0.481166i −0.693037 0.720902i \(-0.743728\pi\)
0.970838 + 0.239736i \(0.0770610\pi\)
\(242\) −10.6012 + 21.3362i −0.681470 + 1.37154i
\(243\) −15.1015 + 3.86591i −0.968760 + 0.247998i
\(244\) 15.1891 + 2.09206i 0.972385 + 0.133930i
\(245\) 16.0793 4.30844i 1.02727 0.275256i
\(246\) −6.05704 27.4332i −0.386183 1.74908i
\(247\) −4.80929 + 2.77665i −0.306008 + 0.176674i
\(248\) −5.96459 + 5.13700i −0.378752 + 0.326200i
\(249\) 4.09510 + 2.98929i 0.259517 + 0.189438i
\(250\) 0.825594 4.08672i 0.0522152 0.258467i
\(251\) 16.7058 + 16.7058i 1.05446 + 1.05446i 0.998429 + 0.0560334i \(0.0178453\pi\)
0.0560334 + 0.998429i \(0.482155\pi\)
\(252\) −3.04923 6.56859i −0.192084 0.413782i
\(253\) −15.5941 + 15.5941i −0.980396 + 0.980396i
\(254\) −13.7952 + 9.15820i −0.865590 + 0.574637i
\(255\) −6.74442 15.2399i −0.422352 0.954359i
\(256\) −0.382243 + 15.9954i −0.0238902 + 0.999715i
\(257\) 7.26980 + 12.5917i 0.453477 + 0.785446i 0.998599 0.0529109i \(-0.0168499\pi\)
−0.545122 + 0.838357i \(0.683517\pi\)
\(258\) −0.123407 + 2.77175i −0.00768297 + 0.172562i
\(259\) −2.25401 8.41207i −0.140057 0.522700i
\(260\) 7.59214 + 10.0176i 0.470845 + 0.621265i
\(261\) −24.6380 + 1.18071i −1.52506 + 0.0730840i
\(262\) −11.9771 + 4.02582i −0.739948 + 0.248716i
\(263\) −7.27433 4.19984i −0.448555 0.258973i 0.258665 0.965967i \(-0.416717\pi\)
−0.707220 + 0.706994i \(0.750051\pi\)
\(264\) 23.3546 + 11.0853i 1.43737 + 0.682255i
\(265\) 2.25811 1.30372i 0.138715 0.0800871i
\(266\) 2.99657 3.39641i 0.183731 0.208247i
\(267\) −2.30406 2.85832i −0.141006 0.174927i
\(268\) 12.5321 16.1317i 0.765521 0.985402i
\(269\) 3.63413 3.63413i 0.221577 0.221577i −0.587585 0.809162i \(-0.699921\pi\)
0.809162 + 0.587585i \(0.199921\pi\)
\(270\) −15.5513 + 15.6571i −0.946420 + 0.952862i
\(271\) 2.61554 0.158882 0.0794412 0.996840i \(-0.474686\pi\)
0.0794412 + 0.996840i \(0.474686\pi\)
\(272\) 8.95348 + 9.17000i 0.542885 + 0.556013i
\(273\) 4.35007 + 0.467052i 0.263278 + 0.0282673i
\(274\) 2.15411 0.134728i 0.130134 0.00813920i
\(275\) −20.4820 5.48812i −1.23511 0.330946i
\(276\) 10.4191 + 10.0512i 0.627158 + 0.605014i
\(277\) 10.3103 2.76263i 0.619484 0.165990i 0.0645907 0.997912i \(-0.479426\pi\)
0.554893 + 0.831922i \(0.312759\pi\)
\(278\) 7.86346 + 23.3943i 0.471619 + 1.40310i
\(279\) 7.95212 2.54452i 0.476081 0.152336i
\(280\) −8.47277 5.77180i −0.506345 0.344931i
\(281\) 6.21844 + 3.59022i 0.370961 + 0.214174i 0.673878 0.738842i \(-0.264627\pi\)
−0.302917 + 0.953017i \(0.597961\pi\)
\(282\) −6.10091 6.66949i −0.363304 0.397162i
\(283\) −3.73738 + 13.9481i −0.222164 + 0.829127i 0.761357 + 0.648333i \(0.224533\pi\)
−0.983521 + 0.180794i \(0.942133\pi\)
\(284\) −23.7562 10.0068i −1.40967 0.593794i
\(285\) −12.8743 4.97506i −0.762608 0.294697i
\(286\) −13.0118 + 8.63813i −0.769406 + 0.510783i
\(287\) −13.8431 −0.817134
\(288\) 7.00035 15.4595i 0.412499 0.910958i
\(289\) −6.73414 −0.396126
\(290\) −29.0918 + 19.3131i −1.70833 + 1.13410i
\(291\) 1.63640 + 10.4835i 0.0959273 + 0.614556i
\(292\) 5.30101 + 2.23294i 0.310218 + 0.130673i
\(293\) 6.52336 24.3455i 0.381099 1.42228i −0.463127 0.886292i \(-0.653273\pi\)
0.844226 0.535988i \(-0.180061\pi\)
\(294\) 13.2587 2.92742i 0.773265 0.170731i
\(295\) 31.7992 + 18.3593i 1.85142 + 1.06892i
\(296\) 11.4898 16.8666i 0.667832 0.980351i
\(297\) −18.2104 20.4998i −1.05668 1.18952i
\(298\) −7.98250 23.7485i −0.462414 1.37571i
\(299\) −8.44814 + 2.26367i −0.488568 + 0.130911i
\(300\) −3.36052 + 13.5080i −0.194020 + 0.779886i
\(301\) 1.32053 + 0.353836i 0.0761144 + 0.0203948i
\(302\) 7.33166 0.458556i 0.421889 0.0263869i
\(303\) 13.3430 18.2790i 0.766537 1.05010i
\(304\) 10.6134 + 0.126796i 0.608718 + 0.00727223i
\(305\) −23.0222 −1.31824
\(306\) −4.94286 12.6631i −0.282565 0.723900i
\(307\) 3.57698 3.57698i 0.204149 0.204149i −0.597626 0.801775i \(-0.703889\pi\)
0.801775 + 0.597626i \(0.203889\pi\)
\(308\) 7.81485 10.0595i 0.445293 0.573195i
\(309\) −8.24460 + 21.3351i −0.469019 + 1.21371i
\(310\) 7.81976 8.86319i 0.444132 0.503395i
\(311\) 3.71609 2.14548i 0.210720 0.121659i −0.390926 0.920422i \(-0.627845\pi\)
0.601646 + 0.798763i \(0.294512\pi\)
\(312\) 5.82310 + 8.43840i 0.329668 + 0.477730i
\(313\) −8.68061 5.01175i −0.490657 0.283281i 0.234190 0.972191i \(-0.424756\pi\)
−0.724847 + 0.688910i \(0.758090\pi\)
\(314\) 14.2287 4.78264i 0.802970 0.269900i
\(315\) 5.88142 + 9.14593i 0.331381 + 0.515315i
\(316\) 2.20653 + 2.91145i 0.124127 + 0.163782i
\(317\) −7.14413 26.6623i −0.401254 1.49750i −0.810861 0.585239i \(-0.801001\pi\)
0.409606 0.912262i \(-0.365666\pi\)
\(318\) 1.88735 0.980429i 0.105837 0.0549797i
\(319\) −21.6940 37.5751i −1.21463 2.10380i
\(320\) −2.70851 23.8712i −0.151410 1.33444i
\(321\) 16.8674 + 1.81099i 0.941446 + 0.101080i
\(322\) 5.94310 3.94543i 0.331196 0.219870i
\(323\) 6.01183 6.01183i 0.334507 0.334507i
\(324\) −13.2402 + 12.1942i −0.735565 + 0.677455i
\(325\) −5.94639 5.94639i −0.329846 0.329846i
\(326\) −1.03885 + 5.14234i −0.0575366 + 0.284808i
\(327\) −1.40235 + 13.0613i −0.0775499 + 0.722291i
\(328\) −21.1699 24.5804i −1.16891 1.35723i
\(329\) −3.85720 + 2.22695i −0.212654 + 0.122776i
\(330\) −37.0106 11.7044i −2.03736 0.644306i
\(331\) 4.61769 1.23731i 0.253811 0.0680085i −0.129670 0.991557i \(-0.541392\pi\)
0.383481 + 0.923549i \(0.374725\pi\)
\(332\) 5.79967 + 0.798811i 0.318298 + 0.0438405i
\(333\) −18.2066 + 11.7081i −0.997718 + 0.641597i
\(334\) −3.68699 + 7.42053i −0.201743 + 0.406033i
\(335\) −15.3363 + 26.5632i −0.837909 + 1.45130i
\(336\) −6.69473 5.01060i −0.365227 0.273351i
\(337\) −7.47777 12.9519i −0.407340 0.705534i 0.587251 0.809405i \(-0.300210\pi\)
−0.994591 + 0.103871i \(0.966877\pi\)
\(338\) 12.1670 0.760983i 0.661800 0.0413920i
\(339\) 9.80657 + 3.78958i 0.532620 + 0.205822i
\(340\) −15.1968 11.8058i −0.824165 0.640261i
\(341\) 10.3848 + 10.3848i 0.562371 + 0.562371i
\(342\) −10.3103 4.52106i −0.557516 0.244471i
\(343\) 15.1393i 0.817446i
\(344\) 1.39117 + 2.88590i 0.0750066 + 0.155597i
\(345\) −17.5575 12.8164i −0.945265 0.690011i
\(346\) 0.790392 + 0.697342i 0.0424917 + 0.0374893i
\(347\) −7.89996 + 29.4830i −0.424092 + 1.58273i 0.341806 + 0.939771i \(0.388961\pi\)
−0.765898 + 0.642962i \(0.777705\pi\)
\(348\) −24.4064 + 14.6820i −1.30832 + 0.787039i
\(349\) 8.69992 + 32.4685i 0.465696 + 1.73800i 0.654572 + 0.756000i \(0.272849\pi\)
−0.188876 + 0.982001i \(0.560485\pi\)
\(350\) 6.14246 + 3.05197i 0.328328 + 0.163134i
\(351\) −2.18949 10.6518i −0.116867 0.568550i
\(352\) 29.8131 1.50735i 1.58904 0.0803421i
\(353\) 16.5277 28.6268i 0.879680 1.52365i 0.0279885 0.999608i \(-0.491090\pi\)
0.851692 0.524043i \(-0.175577\pi\)
\(354\) 25.2459 + 16.1139i 1.34180 + 0.856446i
\(355\) 37.3870 + 10.0178i 1.98430 + 0.531691i
\(356\) −3.90683 1.64567i −0.207062 0.0872204i
\(357\) −6.61802 + 1.03302i −0.350263 + 0.0546732i
\(358\) 0.0454895 0.225175i 0.00240420 0.0119008i
\(359\) 13.5739i 0.716404i 0.933644 + 0.358202i \(0.116610\pi\)
−0.933644 + 0.358202i \(0.883390\pi\)
\(360\) −7.24560 + 24.4299i −0.381877 + 1.28757i
\(361\) 11.9588i 0.629410i
\(362\) 15.4109 + 3.11329i 0.809977 + 0.163631i
\(363\) 10.5178 27.2177i 0.552042 1.42856i
\(364\) 4.67881 1.90536i 0.245236 0.0998682i
\(365\) −8.34262 2.23540i −0.436673 0.117006i
\(366\) −18.7599 0.835245i −0.980594 0.0436590i
\(367\) −1.88219 + 3.26006i −0.0982497 + 0.170174i −0.910960 0.412494i \(-0.864658\pi\)
0.812711 + 0.582668i \(0.197991\pi\)
\(368\) 16.0942 + 4.51918i 0.838970 + 0.235579i
\(369\) 10.4861 + 32.7711i 0.545885 + 1.70600i
\(370\) −13.6353 + 27.4427i −0.708866 + 1.42668i
\(371\) −0.271236 1.01227i −0.0140819 0.0525542i
\(372\) 6.69357 6.93857i 0.347046 0.359748i
\(373\) −5.54598 + 20.6979i −0.287160 + 1.07170i 0.660087 + 0.751189i \(0.270520\pi\)
−0.947247 + 0.320506i \(0.896147\pi\)
\(374\) 15.8193 17.9301i 0.817996 0.927145i
\(375\) −0.545113 + 5.07712i −0.0281495 + 0.262181i
\(376\) −9.85295 3.44338i −0.508127 0.177579i
\(377\) 17.2072i 0.886215i
\(378\) 4.46073 + 7.66604i 0.229435 + 0.394298i
\(379\) 0.0423205 + 0.0423205i 0.00217386 + 0.00217386i 0.708193 0.706019i \(-0.249511\pi\)
−0.706019 + 0.708193i \(0.749511\pi\)
\(380\) −15.8131 + 1.98582i −0.811197 + 0.101871i
\(381\) 15.7889 12.7272i 0.808890 0.652035i
\(382\) 0.398026 + 6.36387i 0.0203648 + 0.325604i
\(383\) −6.83724 11.8424i −0.349367 0.605121i 0.636770 0.771053i \(-0.280270\pi\)
−0.986137 + 0.165933i \(0.946937\pi\)
\(384\) −1.34101 19.5500i −0.0684332 0.997656i
\(385\) −9.56348 + 16.5644i −0.487400 + 0.844201i
\(386\) −24.4335 12.1401i −1.24363 0.617916i
\(387\) −0.162655 3.39416i −0.00826824 0.172535i
\(388\) 7.40032 + 9.76449i 0.375694 + 0.495717i
\(389\) −13.7672 + 3.68890i −0.698023 + 0.187035i −0.590345 0.807151i \(-0.701008\pi\)
−0.107678 + 0.994186i \(0.534342\pi\)
\(390\) −10.3906 11.3589i −0.526148 0.575182i
\(391\) 11.5963 6.69511i 0.586449 0.338586i
\(392\) 11.8799 10.2316i 0.600027 0.516773i
\(393\) 14.1515 6.26276i 0.713849 0.315914i
\(394\) 11.8347 + 2.39083i 0.596222 + 0.120448i
\(395\) −3.87866 3.87866i −0.195157 0.195157i
\(396\) −29.7338 10.8802i −1.49418 0.546751i
\(397\) 16.1526 16.1526i 0.810677 0.810677i −0.174058 0.984735i \(-0.555688\pi\)
0.984735 + 0.174058i \(0.0556881\pi\)
\(398\) 6.89360 + 10.3840i 0.345545 + 0.520503i
\(399\) −3.27065 + 4.48055i −0.163737 + 0.224308i
\(400\) 3.97428 + 15.5741i 0.198714 + 0.778703i
\(401\) 1.96568 + 3.40466i 0.0981615 + 0.170021i 0.910924 0.412575i \(-0.135370\pi\)
−0.812762 + 0.582596i \(0.802037\pi\)
\(402\) −13.4606 + 21.0889i −0.671355 + 1.05182i
\(403\) 1.50748 + 5.62599i 0.0750929 + 0.280251i
\(404\) 3.56559 25.8875i 0.177395 1.28795i
\(405\) 17.1962 20.8512i 0.854485 1.03610i
\(406\) 4.47151 + 13.3031i 0.221917 + 0.660219i
\(407\) −32.9745 19.0379i −1.63449 0.943671i
\(408\) −11.9550 10.1715i −0.591861 0.503562i
\(409\) −17.7471 + 10.2463i −0.877536 + 0.506646i −0.869845 0.493325i \(-0.835781\pi\)
−0.00769067 + 0.999970i \(0.502448\pi\)
\(410\) 36.5257 + 32.2257i 1.80388 + 1.59151i
\(411\) −2.61176 + 0.407675i −0.128829 + 0.0201091i
\(412\) 3.29088 + 26.2053i 0.162130 + 1.29104i
\(413\) 10.4353 10.4353i 0.513489 0.513489i
\(414\) −13.8420 11.0806i −0.680295 0.544580i
\(415\) −8.79055 −0.431511
\(416\) 10.5384 + 5.39406i 0.516687 + 0.264466i
\(417\) −12.2328 27.6415i −0.599041 1.35361i
\(418\) −1.23614 19.7641i −0.0604616 0.966694i
\(419\) 5.54398 + 1.48550i 0.270841 + 0.0725716i 0.391683 0.920100i \(-0.371893\pi\)
−0.120842 + 0.992672i \(0.538560\pi\)
\(420\) 10.9848 + 6.08158i 0.536005 + 0.296751i
\(421\) 37.3580 10.0100i 1.82072 0.487859i 0.823839 0.566824i \(-0.191828\pi\)
0.996877 + 0.0789649i \(0.0251615\pi\)
\(422\) 1.35507 0.455476i 0.0659638 0.0221722i
\(423\) 8.19372 + 7.44431i 0.398392 + 0.361955i
\(424\) 1.38263 2.02964i 0.0671463 0.0985681i
\(425\) 11.1499 + 6.43738i 0.540848 + 0.312259i
\(426\) 30.1018 + 9.51953i 1.45844 + 0.461223i
\(427\) −2.39485 + 8.93769i −0.115895 + 0.432525i
\(428\) 18.1421 7.38805i 0.876930 0.357115i
\(429\) 14.8923 12.0045i 0.719007 0.579582i
\(430\) −2.66059 4.00771i −0.128305 0.193269i
\(431\) 29.0431 1.39896 0.699479 0.714653i \(-0.253415\pi\)
0.699479 + 0.714653i \(0.253415\pi\)
\(432\) −6.79047 + 19.6441i −0.326707 + 0.945126i
\(433\) 28.4001 1.36482 0.682411 0.730969i \(-0.260932\pi\)
0.682411 + 0.730969i \(0.260932\pi\)
\(434\) −2.62744 3.95777i −0.126121 0.189979i
\(435\) 33.2961 26.8395i 1.59642 1.28686i
\(436\) 5.72094 + 14.0483i 0.273984 + 0.672793i
\(437\) 2.87019 10.7117i 0.137300 0.512409i
\(438\) −6.71698 2.12421i −0.320950 0.101499i
\(439\) −2.37559 1.37154i −0.113381 0.0654603i 0.442237 0.896898i \(-0.354185\pi\)
−0.555618 + 0.831438i \(0.687518\pi\)
\(440\) −44.0376 + 8.35016i −2.09941 + 0.398078i
\(441\) −15.8386 + 5.06803i −0.754218 + 0.241335i
\(442\) 8.98867 3.02134i 0.427548 0.143710i
\(443\) 6.83170 1.83055i 0.324584 0.0869720i −0.0928477 0.995680i \(-0.529597\pi\)
0.417432 + 0.908708i \(0.362930\pi\)
\(444\) −12.1065 + 21.8673i −0.574549 + 1.03778i
\(445\) 6.14850 + 1.64749i 0.291467 + 0.0780983i
\(446\) −0.784757 12.5471i −0.0371593 0.594124i
\(447\) 12.4180 + 28.0599i 0.587349 + 1.32719i
\(448\) −9.54905 1.43167i −0.451150 0.0676398i
\(449\) 2.27698 0.107457 0.0537287 0.998556i \(-0.482889\pi\)
0.0537287 + 0.998556i \(0.482889\pi\)
\(450\) 2.57209 16.8530i 0.121250 0.794459i
\(451\) −42.7965 + 42.7965i −2.01521 + 2.01521i
\(452\) 12.0451 1.51263i 0.566555 0.0711483i
\(453\) −8.88931 + 1.38755i −0.417656 + 0.0651928i
\(454\) −23.8724 21.0620i −1.12039 0.988489i
\(455\) −6.56927 + 3.79277i −0.307972 + 0.177808i
\(456\) −12.9576 + 1.04447i −0.606793 + 0.0489117i
\(457\) 21.7536 + 12.5595i 1.01759 + 0.587507i 0.913406 0.407051i \(-0.133443\pi\)
0.104187 + 0.994558i \(0.466776\pi\)
\(458\) −6.24867 18.5902i −0.291981 0.868663i
\(459\) 7.45861 + 14.8845i 0.348138 + 0.694747i
\(460\) −24.8657 3.42486i −1.15937 0.159685i
\(461\) 5.73994 + 21.4217i 0.267336 + 0.997710i 0.960805 + 0.277224i \(0.0894145\pi\)
−0.693470 + 0.720486i \(0.743919\pi\)
\(462\) −8.39386 + 13.1507i −0.390518 + 0.611828i
\(463\) 19.5447 + 33.8525i 0.908321 + 1.57326i 0.816396 + 0.577493i \(0.195969\pi\)
0.0919260 + 0.995766i \(0.470698\pi\)
\(464\) −16.7833 + 28.2837i −0.779144 + 1.31304i
\(465\) −8.53501 + 11.6923i −0.395802 + 0.542219i
\(466\) −5.24119 7.89494i −0.242794 0.365726i
\(467\) 4.46264 4.46264i 0.206506 0.206506i −0.596274 0.802781i \(-0.703353\pi\)
0.802781 + 0.596274i \(0.203353\pi\)
\(468\) −8.05478 9.63292i −0.372332 0.445282i
\(469\) 8.71705 + 8.71705i 0.402516 + 0.402516i
\(470\) 15.3615 + 3.10332i 0.708575 + 0.143146i
\(471\) −16.8118 + 7.44009i −0.774648 + 0.342821i
\(472\) 34.4878 + 2.57097i 1.58743 + 0.118338i
\(473\) 5.17638 2.98858i 0.238010 0.137415i
\(474\) −3.01985 3.30129i −0.138706 0.151633i
\(475\) 10.2993 2.75970i 0.472565 0.126624i
\(476\) −6.16410 + 4.67165i −0.282531 + 0.214125i
\(477\) −2.19090 + 1.40889i −0.100314 + 0.0645085i
\(478\) −2.64645 1.31492i −0.121046 0.0601432i
\(479\) 2.80441 4.85738i 0.128137 0.221939i −0.794818 0.606848i \(-0.792434\pi\)
0.922955 + 0.384909i \(0.125767\pi\)
\(480\) 6.00006 + 28.8055i 0.273864 + 1.31478i
\(481\) −7.55020 13.0773i −0.344260 0.596275i
\(482\) 0.761430 + 12.1742i 0.0346822 + 0.554519i
\(483\) −6.80199 + 5.48299i −0.309501 + 0.249485i
\(484\) −4.19825 33.4307i −0.190829 1.51958i
\(485\) −13.0083 13.0083i −0.590678 0.590678i
\(486\) 14.7690 16.3670i 0.669935 0.742420i
\(487\) 34.1026i 1.54534i −0.634810 0.772668i \(-0.718922\pi\)
0.634810 0.772668i \(-0.281078\pi\)
\(488\) −19.5325 + 9.41573i −0.884193 + 0.426230i
\(489\) 0.685919 6.38857i 0.0310183 0.288901i
\(490\) −15.5750 + 17.6532i −0.703605 + 0.797490i
\(491\) 3.91173 14.5988i 0.176534 0.658833i −0.819751 0.572719i \(-0.805888\pi\)
0.996285 0.0861138i \(-0.0274449\pi\)
\(492\) 28.5942 + 27.5846i 1.28913 + 1.24361i
\(493\) 6.81831 + 25.4463i 0.307081 + 1.14604i
\(494\) 3.49455 7.03322i 0.157227 0.316440i
\(495\) 46.4576 + 10.0923i 2.08811 + 0.453616i
\(496\) 3.00953 10.7179i 0.135132 0.481247i
\(497\) 7.77826 13.4723i 0.348902 0.604317i
\(498\) −7.16308 0.318922i −0.320985 0.0142912i
\(499\) −8.85266 2.37206i −0.396300 0.106188i 0.0551648 0.998477i \(-0.482432\pi\)
−0.451464 + 0.892289i \(0.649098\pi\)
\(500\) 2.22382 + 5.46080i 0.0994521 + 0.244214i
\(501\) 3.65800 9.46606i 0.163427 0.422912i
\(502\) −32.7500 6.61613i −1.46171 0.295292i
\(503\) 6.41865i 0.286194i 0.989709 + 0.143097i \(0.0457060\pi\)
−0.989709 + 0.143097i \(0.954294\pi\)
\(504\) 8.73047 + 5.35417i 0.388886 + 0.238494i
\(505\) 39.2377i 1.74605i
\(506\) 6.17586 30.5707i 0.274551 1.35903i
\(507\) −14.7520 + 2.30267i −0.655159 + 0.102265i
\(508\) 9.09042 21.5807i 0.403322 0.957489i
\(509\) 23.2651 + 6.23386i 1.03121 + 0.276311i 0.734465 0.678647i \(-0.237433\pi\)
0.296742 + 0.954958i \(0.404100\pi\)
\(510\) 19.8667 + 12.6805i 0.879713 + 0.561504i
\(511\) −1.73566 + 3.00625i −0.0767810 + 0.132989i
\(512\) −12.0609 19.1451i −0.533023 0.846101i
\(513\) 13.0844 + 4.34868i 0.577691 + 0.191999i
\(514\) −18.4143 9.14942i −0.812221 0.403563i
\(515\) −10.2640 38.3057i −0.452285 1.68795i
\(516\) −2.02261 3.36225i −0.0890403 0.148015i
\(517\) −5.03995 + 18.8094i −0.221657 + 0.827235i
\(518\) 9.23546 + 8.14820i 0.405783 + 0.358011i
\(519\) −1.04269 0.761126i −0.0457689 0.0334097i
\(520\) −16.7808 5.86449i −0.735885 0.257175i
\(521\) 15.3122i 0.670839i 0.942069 + 0.335420i \(0.108878\pi\)
−0.942069 + 0.335420i \(0.891122\pi\)
\(522\) 28.1054 20.6625i 1.23014 0.904373i
\(523\) −19.6619 19.6619i −0.859756 0.859756i 0.131553 0.991309i \(-0.458004\pi\)
−0.991309 + 0.131553i \(0.958004\pi\)
\(524\) 10.9627 14.1115i 0.478908 0.616465i
\(525\) −7.83568 3.02797i −0.341977 0.132151i
\(526\) 11.8558 0.741515i 0.516936 0.0323316i
\(527\) −4.45858 7.72248i −0.194219 0.336397i
\(528\) −36.1874 + 5.20654i −1.57486 + 0.226585i
\(529\) −2.76726 + 4.79304i −0.120316 + 0.208393i
\(530\) −1.64080 + 3.30232i −0.0712719 + 0.143444i
\(531\) −32.6084 16.7990i −1.41509 0.729016i
\(532\) −0.874000 + 6.34556i −0.0378927 + 0.275115i
\(533\) −23.1850 + 6.21241i −1.00426 + 0.269089i
\(534\) 4.95040 + 1.56554i 0.214225 + 0.0677475i
\(535\) −25.4723 + 14.7065i −1.10127 + 0.635816i
\(536\) −2.14763 + 28.8090i −0.0927636 + 1.24436i
\(537\) −0.0300353 + 0.279745i −0.00129612 + 0.0120719i
\(538\) −1.43925 + 7.12433i −0.0620505 + 0.307152i
\(539\) −20.6839 20.6839i −0.890921 0.890921i
\(540\) 6.07608 30.6114i 0.261473 1.31730i
\(541\) 12.1084 12.1084i 0.520580 0.520580i −0.397167 0.917746i \(-0.630007\pi\)
0.917746 + 0.397167i \(0.130007\pi\)
\(542\) −3.08167 + 2.04582i −0.132369 + 0.0878754i
\(543\) −19.1456 2.05560i −0.821618 0.0882144i
\(544\) −17.7217 3.80102i −0.759813 0.162967i
\(545\) −11.3880 19.7245i −0.487807 0.844906i
\(546\) −5.49064 + 2.85225i −0.234978 + 0.122065i
\(547\) −9.77287 36.4729i −0.417858 1.55947i −0.779042 0.626972i \(-0.784294\pi\)
0.361184 0.932495i \(-0.382373\pi\)
\(548\) −2.43262 + 1.84364i −0.103916 + 0.0787562i
\(549\) 22.9724 1.10089i 0.980440 0.0469848i
\(550\) 28.4249 9.55437i 1.21204 0.407400i
\(551\) 18.8946 + 10.9088i 0.804936 + 0.464730i
\(552\) −20.1379 3.69291i −0.857125 0.157181i
\(553\) −1.90925 + 1.10231i −0.0811895 + 0.0468748i
\(554\) −9.98686 + 11.3195i −0.424301 + 0.480917i
\(555\) 13.5281 35.0076i 0.574235 1.48599i
\(556\) −27.5634 21.4130i −1.16895 0.908112i
\(557\) −29.5565 + 29.5565i −1.25235 + 1.25235i −0.297685 + 0.954664i \(0.596214\pi\)
−0.954664 + 0.297685i \(0.903786\pi\)
\(558\) −7.37905 + 9.21798i −0.312380 + 0.390228i
\(559\) 2.37048 0.100260
\(560\) 14.4973 + 0.173197i 0.612625 + 0.00731891i
\(561\) −17.2662 + 23.6535i −0.728981 + 0.998650i
\(562\) −10.1349 + 0.633882i −0.427513 + 0.0267387i
\(563\) −25.7907 6.91061i −1.08695 0.291247i −0.329510 0.944152i \(-0.606884\pi\)
−0.757440 + 0.652905i \(0.773550\pi\)
\(564\) 12.4049 + 3.08609i 0.522342 + 0.129948i
\(565\) −17.6070 + 4.71778i −0.740731 + 0.198478i
\(566\) −6.50646 19.3572i −0.273487 0.813642i
\(567\) −6.30607 8.84493i −0.264830 0.371452i
\(568\) 35.8170 6.79143i 1.50285 0.284962i
\(569\) −9.49763 5.48346i −0.398161 0.229879i 0.287529 0.957772i \(-0.407166\pi\)
−0.685690 + 0.727893i \(0.740500\pi\)
\(570\) 19.0601 4.20832i 0.798341 0.176267i
\(571\) 9.71100 36.2420i 0.406393 1.51668i −0.395080 0.918647i \(-0.629283\pi\)
0.801472 0.598032i \(-0.204050\pi\)
\(572\) 8.57419 20.3552i 0.358505 0.851093i
\(573\) −1.20439 7.71592i −0.0503142 0.322337i
\(574\) 16.3102 10.8278i 0.680775 0.451944i
\(575\) 16.7931 0.700322
\(576\) 3.84415 + 23.6901i 0.160173 + 0.987089i
\(577\) −29.3500 −1.22186 −0.610929 0.791686i \(-0.709204\pi\)
−0.610929 + 0.791686i \(0.709204\pi\)
\(578\) 7.93428 5.26731i 0.330022 0.219091i
\(579\) 31.1688 + 12.0447i 1.29533 + 0.500559i
\(580\) 19.1701 45.5100i 0.795996 1.88970i
\(581\) −0.914424 + 3.41268i −0.0379367 + 0.141582i
\(582\) −10.1280 11.0719i −0.419821 0.458946i
\(583\) −3.96799 2.29092i −0.164337 0.0948802i
\(584\) −7.99230 + 1.51546i −0.330724 + 0.0627100i
\(585\) 13.9549 + 12.6785i 0.576963 + 0.524193i
\(586\) 11.3566 + 33.7867i 0.469138 + 1.39572i
\(587\) −2.39978 + 0.643018i −0.0990494 + 0.0265402i −0.308003 0.951385i \(-0.599661\pi\)
0.208954 + 0.977925i \(0.432994\pi\)
\(588\) −13.3319 + 13.8198i −0.549798 + 0.569921i
\(589\) −7.13339 1.91139i −0.293926 0.0787573i
\(590\) −51.8266 + 3.24148i −2.13367 + 0.133450i
\(591\) −14.7028 1.57859i −0.604791 0.0649344i
\(592\) −0.344780 + 28.8596i −0.0141704 + 1.18612i
\(593\) −3.31760 −0.136238 −0.0681188 0.997677i \(-0.521700\pi\)
−0.0681188 + 0.997677i \(0.521700\pi\)
\(594\) 37.4903 + 9.90933i 1.53825 + 0.406585i
\(595\) 8.21187 8.21187i 0.336654 0.336654i
\(596\) 27.9807 + 21.7371i 1.14613 + 0.890387i
\(597\) −9.58009 11.8847i −0.392087 0.486408i
\(598\) 8.18314 9.27506i 0.334633 0.379285i
\(599\) −16.9013 + 9.75798i −0.690569 + 0.398700i −0.803825 0.594866i \(-0.797205\pi\)
0.113256 + 0.993566i \(0.463872\pi\)
\(600\) −6.60628 18.5439i −0.269700 0.757052i
\(601\) 5.79012 + 3.34293i 0.236184 + 0.136361i 0.613422 0.789756i \(-0.289793\pi\)
−0.377238 + 0.926116i \(0.623126\pi\)
\(602\) −1.83264 + 0.616000i −0.0746928 + 0.0251063i
\(603\) 14.0329 27.2392i 0.571465 1.10926i
\(604\) −8.27961 + 6.27495i −0.336893 + 0.255324i
\(605\) 13.0940 + 48.8674i 0.532346 + 1.98674i
\(606\) −1.42354 + 31.9732i −0.0578276 + 1.29882i
\(607\) −4.11486 7.12715i −0.167017 0.289282i 0.770353 0.637618i \(-0.220080\pi\)
−0.937370 + 0.348336i \(0.886747\pi\)
\(608\) −12.6040 + 8.15216i −0.511160 + 0.330614i
\(609\) −6.95609 15.7182i −0.281875 0.636933i
\(610\) 27.1251 18.0075i 1.09826 0.729101i
\(611\) −5.46079 + 5.46079i −0.220920 + 0.220920i
\(612\) 15.7286 + 11.0536i 0.635790 + 0.446817i
\(613\) −5.65366 5.65366i −0.228349 0.228349i 0.583654 0.812003i \(-0.301623\pi\)
−0.812003 + 0.583654i \(0.801623\pi\)
\(614\) −1.41662 + 7.01230i −0.0571701 + 0.282994i
\(615\) −48.1848 35.1733i −1.94300 1.41832i
\(616\) −1.33923 + 17.9649i −0.0539593 + 0.723827i
\(617\) −24.8990 + 14.3754i −1.00240 + 0.578733i −0.908956 0.416891i \(-0.863120\pi\)
−0.0934395 + 0.995625i \(0.529786\pi\)
\(618\) −6.97398 31.5862i −0.280535 1.27058i
\(619\) 20.9653 5.61764i 0.842668 0.225792i 0.188435 0.982086i \(-0.439658\pi\)
0.654232 + 0.756293i \(0.272992\pi\)
\(620\) −2.28077 + 16.5592i −0.0915978 + 0.665034i
\(621\) 18.1325 + 11.9491i 0.727631 + 0.479502i
\(622\) −2.70020 + 5.43449i −0.108268 + 0.217903i
\(623\) 1.27918 2.21560i 0.0512491 0.0887661i
\(624\) −13.4612 5.38755i −0.538880 0.215675i
\(625\) −14.4724 25.0669i −0.578896 1.00268i
\(626\) 14.1477 0.884865i 0.565457 0.0353663i
\(627\) 3.74045 + 23.9631i 0.149379 + 0.956995i
\(628\) −13.0236 + 16.7644i −0.519697 + 0.668971i
\(629\) 16.3472 + 16.3472i 0.651807 + 0.651807i
\(630\) −14.0834 6.17556i −0.561094 0.246040i
\(631\) 13.0320i 0.518796i −0.965770 0.259398i \(-0.916476\pi\)
0.965770 0.259398i \(-0.0835242\pi\)
\(632\) −4.87705 1.70442i −0.193999 0.0677981i
\(633\) −1.60108 + 0.708559i −0.0636372 + 0.0281627i
\(634\) 29.2720 + 25.8259i 1.16254 + 1.02568i
\(635\) −9.10043 + 33.9633i −0.361140 + 1.34779i
\(636\) −1.45683 + 2.63140i −0.0577673 + 0.104342i
\(637\) −3.00251 11.2055i −0.118964 0.443979i
\(638\) 54.9507 + 27.3030i 2.17552 + 1.08094i
\(639\) −37.7853 8.20839i −1.49476 0.324719i
\(640\) 21.8628 + 26.0069i 0.864202 + 1.02801i
\(641\) 6.70219 11.6085i 0.264721 0.458510i −0.702770 0.711417i \(-0.748054\pi\)
0.967490 + 0.252908i \(0.0813869\pi\)
\(642\) −21.2900 + 11.0596i −0.840248 + 0.436487i
\(643\) −9.89172 2.65048i −0.390091 0.104525i 0.0584419 0.998291i \(-0.481387\pi\)
−0.448533 + 0.893766i \(0.648053\pi\)
\(644\) −3.91622 + 9.29714i −0.154321 + 0.366359i
\(645\) 3.69744 + 4.58690i 0.145586 + 0.180609i
\(646\) −2.38091 + 11.7856i −0.0936755 + 0.463697i
\(647\) 25.5231i 1.00342i 0.865036 + 0.501709i \(0.167295\pi\)
−0.865036 + 0.501709i \(0.832705\pi\)
\(648\) 6.06174 24.7236i 0.238128 0.971234i
\(649\) 64.5223i 2.53272i
\(650\) 11.6573 + 2.35499i 0.457236 + 0.0923703i
\(651\) 3.65137 + 4.52975i 0.143108 + 0.177535i
\(652\) −2.79824 6.87136i −0.109588 0.269103i
\(653\) −16.5940 4.44634i −0.649372 0.173999i −0.0809269 0.996720i \(-0.525788\pi\)
−0.568445 + 0.822721i \(0.692455\pi\)
\(654\) −8.56400 16.4859i −0.334879 0.644650i
\(655\) −13.4157 + 23.2366i −0.524194 + 0.907930i
\(656\) 44.1690 + 12.4024i 1.72451 + 0.484233i
\(657\) 8.43150 + 1.83164i 0.328944 + 0.0714590i
\(658\) 2.80274 5.64085i 0.109262 0.219903i
\(659\) 1.29909 + 4.84828i 0.0506054 + 0.188862i 0.986602 0.163148i \(-0.0521649\pi\)
−0.935996 + 0.352010i \(0.885498\pi\)
\(660\) 52.7614 15.1586i 2.05374 0.590047i
\(661\) −6.49124 + 24.2257i −0.252480 + 0.942269i 0.716995 + 0.697079i \(0.245517\pi\)
−0.969475 + 0.245190i \(0.921150\pi\)
\(662\) −4.47285 + 5.06968i −0.173842 + 0.197039i
\(663\) −10.6205 + 4.70013i −0.412468 + 0.182538i
\(664\) −7.45808 + 3.59521i −0.289430 + 0.139521i
\(665\) 9.61796i 0.372969i
\(666\) 12.2936 28.0355i 0.476366 1.08635i
\(667\) 24.2973 + 24.2973i 0.940795 + 0.940795i
\(668\) −1.46011 11.6269i −0.0564934 0.449858i
\(669\) 2.37461 + 15.2129i 0.0918076 + 0.588163i
\(670\) −2.70774 43.2929i −0.104609 1.67255i
\(671\) 20.2274 + 35.0349i 0.780871 + 1.35251i
\(672\) 11.8070 + 0.667096i 0.455466 + 0.0257338i
\(673\) −12.8215 + 22.2075i −0.494233 + 0.856037i −0.999978 0.00664596i \(-0.997885\pi\)
0.505745 + 0.862683i \(0.331218\pi\)
\(674\) 18.9411 + 9.41116i 0.729585 + 0.362504i
\(675\) −1.23267 + 20.8432i −0.0474455 + 0.802256i
\(676\) −13.7402 + 10.4134i −0.528469 + 0.400516i
\(677\) 22.4419 6.01329i 0.862513 0.231110i 0.199665 0.979864i \(-0.436015\pi\)
0.662847 + 0.748755i \(0.269348\pi\)
\(678\) −14.5184 + 3.20555i −0.557576 + 0.123108i
\(679\) −6.40328 + 3.69694i −0.245735 + 0.141875i
\(680\) 27.1395 + 2.02317i 1.04075 + 0.0775850i
\(681\) 31.4925 + 22.9885i 1.20680 + 0.880921i
\(682\) −20.3584 4.11278i −0.779564 0.157487i
\(683\) −29.4647 29.4647i −1.12744 1.12744i −0.990593 0.136843i \(-0.956304\pi\)
−0.136843 0.990593i \(-0.543696\pi\)
\(684\) 15.6840 2.73770i 0.599694 0.104678i
\(685\) 3.24076 3.24076i 0.123823 0.123823i
\(686\) 11.8417 + 17.8374i 0.452117 + 0.681035i
\(687\) 9.72072 + 21.9652i 0.370869 + 0.838025i
\(688\) −3.89639 2.31208i −0.148548 0.0881472i
\(689\) −0.908553 1.57366i −0.0346131 0.0599517i
\(690\) 30.7113 + 1.36736i 1.16916 + 0.0520544i
\(691\) 5.06682 + 18.9096i 0.192751 + 0.719357i 0.992838 + 0.119472i \(0.0381202\pi\)
−0.800087 + 0.599885i \(0.795213\pi\)
\(692\) −1.47670 0.203392i −0.0561357 0.00773180i
\(693\) 8.75073 16.9860i 0.332413 0.645244i
\(694\) −13.7532 40.9166i −0.522063 1.55317i
\(695\) 45.3871 + 26.2042i 1.72163 + 0.993984i
\(696\) 17.2721 36.3888i 0.654697 1.37931i
\(697\) 31.8248 18.3740i 1.20545 0.695966i
\(698\) −35.6466 31.4501i −1.34924 1.19040i
\(699\) 7.28373 + 9.03591i 0.275496 + 0.341770i
\(700\) −9.62434 + 1.20863i −0.363766 + 0.0456819i
\(701\) 7.85067 7.85067i 0.296516 0.296516i −0.543132 0.839647i \(-0.682762\pi\)
0.839647 + 0.543132i \(0.182762\pi\)
\(702\) 10.9113 + 10.8375i 0.411821 + 0.409037i
\(703\) 19.1463 0.722117
\(704\) −33.9473 + 25.0952i −1.27944 + 0.945810i
\(705\) −19.0844 2.04902i −0.718758 0.0771707i
\(706\) 2.91810 + 46.6562i 0.109824 + 1.75593i
\(707\) 15.2329 + 4.08164i 0.572892 + 0.153506i
\(708\) −42.3491 + 0.761081i −1.59158 + 0.0286032i
\(709\) 48.4664 12.9865i 1.82020 0.487720i 0.823382 0.567487i \(-0.192084\pi\)
0.996813 + 0.0797675i \(0.0254178\pi\)
\(710\) −51.8857 + 17.4402i −1.94724 + 0.654519i
\(711\) 4.05576 + 3.68481i 0.152103 + 0.138191i
\(712\) 5.89031 1.11689i 0.220749 0.0418571i
\(713\) −10.0728 5.81552i −0.377229 0.217793i
\(714\) 6.98946 6.39361i 0.261574 0.239275i
\(715\) −8.58364 + 32.0346i −0.321010 + 1.19803i
\(716\) 0.122530 + 0.300886i 0.00457918 + 0.0112446i
\(717\) 3.37596 + 1.30458i 0.126078 + 0.0487206i
\(718\) −10.6172 15.9930i −0.396232 0.596854i
\(719\) −46.4032 −1.73055 −0.865273 0.501301i \(-0.832855\pi\)
−0.865273 + 0.501301i \(0.832855\pi\)
\(720\) −10.5717 34.4510i −0.393982 1.28391i
\(721\) −15.9388 −0.593591
\(722\) −9.35392 14.0900i −0.348117 0.524377i
\(723\) −2.30402 14.7607i −0.0856875 0.548955i
\(724\) −20.5925 + 8.38594i −0.765314 + 0.311661i
\(725\) −8.55107 + 31.9130i −0.317579 + 1.18522i
\(726\) 8.89686 + 40.2952i 0.330194 + 1.49549i
\(727\) −13.4929 7.79014i −0.500425 0.288920i 0.228464 0.973552i \(-0.426630\pi\)
−0.728889 + 0.684632i \(0.759963\pi\)
\(728\) −4.02231 + 5.90460i −0.149077 + 0.218839i
\(729\) −16.1620 + 21.6285i −0.598591 + 0.801055i
\(730\) 11.5779 3.89164i 0.428517 0.144036i
\(731\) −3.50550 + 0.939296i −0.129656 + 0.0347411i
\(732\) 22.7565 13.6895i 0.841104 0.505978i
\(733\) 22.5000 + 6.02884i 0.831055 + 0.222680i 0.649174 0.760640i \(-0.275115\pi\)
0.181881 + 0.983321i \(0.441781\pi\)
\(734\) −0.332316 5.31327i −0.0122660 0.196116i
\(735\) 16.9996 23.2881i 0.627038 0.858996i
\(736\) −22.4973 + 7.26401i −0.829262 + 0.267755i
\(737\) 53.8981 1.98536
\(738\) −37.9878 30.4095i −1.39835 1.11939i
\(739\) 17.1341 17.1341i 0.630288 0.630288i −0.317853 0.948140i \(-0.602962\pi\)
0.948140 + 0.317853i \(0.102962\pi\)
\(740\) −5.39981 42.9988i −0.198501 1.58067i
\(741\) −3.46707 + 8.97199i −0.127366 + 0.329594i
\(742\) 1.11135 + 0.980513i 0.0407989 + 0.0359958i
\(743\) 34.9775 20.1943i 1.28320 0.740855i 0.305767 0.952106i \(-0.401087\pi\)
0.977432 + 0.211251i \(0.0677537\pi\)
\(744\) −2.45928 + 13.4107i −0.0901615 + 0.491661i
\(745\) −46.0742 26.6009i −1.68803 0.974583i
\(746\) −9.65509 28.7245i −0.353498 1.05168i
\(747\) 8.77156 0.420353i 0.320935 0.0153799i
\(748\) −4.61397 + 33.4991i −0.168703 + 1.22485i
\(749\) 3.05964 + 11.4187i 0.111797 + 0.417231i
\(750\) −3.32896 6.40832i −0.121556 0.233999i
\(751\) 2.44188 + 4.22946i 0.0891056 + 0.154335i 0.907133 0.420843i \(-0.138266\pi\)
−0.818028 + 0.575179i \(0.804932\pi\)
\(752\) 14.3023 3.64973i 0.521550 0.133092i
\(753\) 40.6869 + 4.36842i 1.48271 + 0.159194i
\(754\) 13.4591 + 20.2738i 0.490152 + 0.738328i
\(755\) 11.0302 11.0302i 0.401429 0.401429i
\(756\) −11.2519 5.54317i −0.409229 0.201603i
\(757\) −20.1502 20.1502i −0.732371 0.732371i 0.238718 0.971089i \(-0.423273\pi\)
−0.971089 + 0.238718i \(0.923273\pi\)
\(758\) −0.0829649 0.0167605i −0.00301342 0.000608768i
\(759\) −4.07772 + 37.9794i −0.148012 + 1.37857i
\(760\) 17.0780 14.7084i 0.619485 0.533531i
\(761\) −16.9178 + 9.76748i −0.613268 + 0.354071i −0.774244 0.632888i \(-0.781869\pi\)
0.160975 + 0.986958i \(0.448536\pi\)
\(762\) −8.64778 + 27.3452i −0.313276 + 0.990612i
\(763\) −8.84210 + 2.36923i −0.320105 + 0.0857720i
\(764\) −5.44665 7.18669i −0.197053 0.260005i
\(765\) −25.6606 13.2197i −0.927760 0.477958i
\(766\) 17.3187 + 8.60502i 0.625749 + 0.310912i
\(767\) 12.7944 22.1606i 0.461980 0.800172i
\(768\) 16.8716 + 21.9852i 0.608801 + 0.793323i
\(769\) −14.3355 24.8299i −0.516952 0.895388i −0.999806 0.0196866i \(-0.993733\pi\)
0.482854 0.875701i \(-0.339600\pi\)
\(770\) −1.68851 26.9968i −0.0608496 0.972899i
\(771\) 23.4904 + 9.07747i 0.845986 + 0.326917i
\(772\) 38.2837 4.80769i 1.37786 0.173033i