Properties

Label 144.2.x.e.85.10
Level $144$
Weight $2$
Character 144.85
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 85.10
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0882790 - 1.41146i) q^{2} +(1.08700 - 1.34849i) q^{3} +(-1.98441 + 0.249204i) q^{4} +(2.90072 - 0.777246i) q^{5} +(-1.99930 - 1.41521i) q^{6} +(-1.04527 + 0.603486i) q^{7} +(0.526922 + 2.77891i) q^{8} +(-0.636858 - 2.93162i) q^{9} +O(q^{10})\) \(q+(-0.0882790 - 1.41146i) q^{2} +(1.08700 - 1.34849i) q^{3} +(-1.98441 + 0.249204i) q^{4} +(2.90072 - 0.777246i) q^{5} +(-1.99930 - 1.41521i) 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} +(-1.36579 + 5.09718i) q^{11} +(-1.82101 + 2.94685i) q^{12} +(-0.541655 - 2.02149i) q^{13} +(0.944069 + 1.42208i) q^{14} +(2.10498 - 4.75646i) q^{15} +(3.87579 - 0.989047i) q^{16} -3.20404 q^{17} +(-4.08163 + 1.15770i) q^{18} +(-1.87633 + 1.87633i) q^{19} +(-5.56254 + 2.26525i) q^{20} +(-0.322412 + 2.06553i) q^{21} +(7.31502 + 1.47777i) q^{22} +(3.61927 + 2.08959i) q^{23} +(4.32010 + 2.31013i) q^{24} +(3.47994 - 2.00914i) q^{25} +(-2.80542 + 0.942977i) q^{26} +(-4.64553 - 2.32788i) q^{27} +(1.92385 - 1.45805i) q^{28} +(7.94194 + 2.12804i) q^{29} +(-6.89936 - 2.55118i) q^{30} +(1.39155 - 2.41023i) q^{31} +(-1.73815 - 5.38320i) q^{32} +(5.38890 + 7.38239i) q^{33} +(0.282849 + 4.52236i) q^{34} +(-2.56298 + 2.56298i) q^{35} +(1.99436 + 5.65884i) q^{36} +(-5.10207 - 5.10207i) q^{37} +(2.81399 + 2.48271i) q^{38} +(-3.31474 - 1.46694i) q^{39} +(3.68835 + 7.65130i) q^{40} +(9.93271 + 5.73465i) q^{41} +(2.94386 + 0.272728i) q^{42} +(-0.293160 + 1.09409i) q^{43} +(1.44005 - 10.4553i) q^{44} +(-4.12594 - 8.00882i) q^{45} +(2.62985 - 5.29290i) q^{46} +(-1.84507 - 3.19576i) q^{47} +(2.87927 - 6.30157i) q^{48} +(-2.77161 + 4.80057i) q^{49} +(-3.14302 - 4.73442i) q^{50} +(-3.48279 + 4.32062i) q^{51} +(1.57863 + 3.87648i) q^{52} +(-0.613957 - 0.613957i) q^{53} +(-2.87559 + 6.76247i) q^{54} +15.8471i q^{55} +(-2.22781 - 2.58672i) q^{56} +(0.490642 + 4.56978i) q^{57} +(2.30252 - 11.3976i) q^{58} +(-11.8105 + 3.16461i) q^{59} +(-2.99182 + 9.96336i) q^{60} +(-7.40505 - 1.98418i) 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} +(9.94419 - 8.25790i) q^{66} +(-2.64353 - 9.86577i) q^{67} +(6.35814 - 0.798458i) q^{68} +(6.75194 - 2.60917i) q^{69} +(3.84378 + 3.39127i) q^{70} -12.8889i q^{71} +(7.81115 - 3.31451i) q^{72} +2.87605i q^{73} +(-6.75094 + 7.65175i) q^{74} +(1.07338 - 6.87661i) q^{75} +(3.25582 - 4.19100i) q^{76} +(-1.64847 - 6.15216i) q^{77} +(-1.77790 + 4.80810i) 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} +(-2.82747 - 0.757618i) q^{83} +(0.125062 - 4.17920i) q^{84} +(-9.29402 + 2.49032i) q^{85} +(1.57014 + 0.317197i) q^{86} +(11.5025 - 8.39646i) q^{87} +(-14.8843 - 1.10958i) q^{88} -2.11965i q^{89} +(-10.9399 + 6.53059i) q^{90} +(1.78611 + 1.78611i) q^{91} +(-7.70286 - 3.24467i) q^{92} +(-1.73756 - 4.49642i) q^{93} +(-4.34779 + 2.88636i) q^{94} +(-3.98433 + 6.90107i) q^{95} +(-9.14857 - 3.50767i) q^{96} +(-3.06298 - 5.30524i) q^{97} +(7.02046 + 3.48821i) q^{98} +(15.8128 + 0.757786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0882790 1.41146i −0.0624227 0.998050i
\(3\) 1.08700 1.34849i 0.627580 0.778552i
\(4\) −1.98441 + 0.249204i −0.992207 + 0.124602i
\(5\) 2.90072 0.777246i 1.29724 0.347595i 0.456835 0.889551i \(-0.348983\pi\)
0.840406 + 0.541957i \(0.182316\pi\)
\(6\) −1.99930 1.41521i −0.816209 0.577757i
\(7\) −1.04527 + 0.603486i −0.395074 + 0.228096i −0.684357 0.729148i \(-0.739917\pi\)
0.289282 + 0.957244i \(0.406583\pi\)
\(8\) 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
\(11\) −1.36579 + 5.09718i −0.411800 + 1.53686i 0.379360 + 0.925249i \(0.376144\pi\)
−0.791160 + 0.611609i \(0.790522\pi\)
\(12\) −1.82101 + 2.94685i −0.525680 + 0.850682i
\(13\) −0.541655 2.02149i −0.150228 0.560659i −0.999467 0.0326501i \(-0.989605\pi\)
0.849239 0.528009i \(-0.177061\pi\)
\(14\) 0.944069 + 1.42208i 0.252313 + 0.380066i
\(15\) 2.10498 4.75646i 0.543503 1.22811i
\(16\) 3.87579 0.989047i 0.968949 0.247262i
\(17\) −3.20404 −0.777093 −0.388547 0.921429i \(-0.627023\pi\)
−0.388547 + 0.921429i \(0.627023\pi\)
\(18\) −4.08163 + 1.15770i −0.962050 + 0.272872i
\(19\) −1.87633 + 1.87633i −0.430459 + 0.430459i −0.888784 0.458325i \(-0.848449\pi\)
0.458325 + 0.888784i \(0.348449\pi\)
\(20\) −5.56254 + 2.26525i −1.24382 + 0.506525i
\(21\) −0.322412 + 2.06553i −0.0703561 + 0.450735i
\(22\) 7.31502 + 1.47777i 1.55957 + 0.315062i
\(23\) 3.61927 + 2.08959i 0.754670 + 0.435709i 0.827379 0.561644i \(-0.189831\pi\)
−0.0727090 + 0.997353i \(0.523164\pi\)
\(24\) 4.32010 + 2.31013i 0.881838 + 0.471553i
\(25\) 3.47994 2.00914i 0.695988 0.401829i
\(26\) −2.80542 + 0.942977i −0.550188 + 0.184933i
\(27\) −4.64553 2.32788i −0.894033 0.448000i
\(28\) 1.92385 1.45805i 0.363574 0.275546i
\(29\) 7.94194 + 2.12804i 1.47478 + 0.395166i 0.904568 0.426330i \(-0.140194\pi\)
0.570214 + 0.821496i \(0.306860\pi\)
\(30\) −6.89936 2.55118i −1.25965 0.465780i
\(31\) 1.39155 2.41023i 0.249930 0.432891i −0.713576 0.700577i \(-0.752926\pi\)
0.963506 + 0.267687i \(0.0862592\pi\)
\(32\) −1.73815 5.38320i −0.307264 0.951624i
\(33\) 5.38890 + 7.38239i 0.938087 + 1.28511i
\(34\) 0.282849 + 4.52236i 0.0485082 + 0.775578i
\(35\) −2.56298 + 2.56298i −0.433222 + 0.433222i
\(36\) 1.99436 + 5.65884i 0.332394 + 0.943141i
\(37\) −5.10207 5.10207i −0.838775 0.838775i 0.149922 0.988698i \(-0.452098\pi\)
−0.988698 + 0.149922i \(0.952098\pi\)
\(38\) 2.81399 + 2.48271i 0.456490 + 0.402749i
\(39\) −3.31474 1.46694i −0.530783 0.234898i
\(40\) 3.68835 + 7.65130i 0.583180 + 1.20978i
\(41\) 9.93271 + 5.73465i 1.55123 + 0.895602i 0.998042 + 0.0625444i \(0.0199215\pi\)
0.553186 + 0.833058i \(0.313412\pi\)
\(42\) 2.94386 + 0.272728i 0.454248 + 0.0420828i
\(43\) −0.293160 + 1.09409i −0.0447065 + 0.166847i −0.984670 0.174428i \(-0.944192\pi\)
0.939963 + 0.341275i \(0.110859\pi\)
\(44\) 1.44005 10.4553i 0.217095 1.57619i
\(45\) −4.12594 8.00882i −0.615059 1.19388i
\(46\) 2.62985 5.29290i 0.387751 0.780396i
\(47\) −1.84507 3.19576i −0.269132 0.466150i 0.699506 0.714627i \(-0.253403\pi\)
−0.968638 + 0.248477i \(0.920070\pi\)
\(48\) 2.87927 6.30157i 0.415587 0.909553i
\(49\) −2.77161 + 4.80057i −0.395944 + 0.685795i
\(50\) −3.14302 4.73442i −0.444491 0.669548i
\(51\) −3.48279 + 4.32062i −0.487688 + 0.605007i
\(52\) 1.57863 + 3.87648i 0.218917 + 0.537571i
\(53\) −0.613957 0.613957i −0.0843335 0.0843335i 0.663682 0.748015i \(-0.268993\pi\)
−0.748015 + 0.663682i \(0.768993\pi\)
\(54\) −2.87559 + 6.76247i −0.391319 + 0.920255i
\(55\) 15.8471i 2.13682i
\(56\) −2.22781 2.58672i −0.297704 0.345665i
\(57\) 0.490642 + 4.56978i 0.0649871 + 0.605282i
\(58\) 2.30252 11.3976i 0.302336 1.49657i
\(59\) −11.8105 + 3.16461i −1.53759 + 0.411997i −0.925487 0.378779i \(-0.876344\pi\)
−0.612106 + 0.790776i \(0.709677\pi\)
\(60\) −2.99182 + 9.96336i −0.386242 + 1.28626i
\(61\) −7.40505 1.98418i −0.948119 0.254048i −0.248555 0.968618i \(-0.579956\pi\)
−0.699564 + 0.714570i \(0.746622\pi\)
\(62\) −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
\(66\) 9.94419 8.25790i 1.22405 1.01648i
\(67\) −2.64353 9.86577i −0.322958 1.20530i −0.916349 0.400381i \(-0.868878\pi\)
0.593391 0.804915i \(-0.297789\pi\)
\(68\) 6.35814 0.798458i 0.771037 0.0968273i
\(69\) 6.75194 2.60917i 0.812838 0.314107i
\(70\) 3.84378 + 3.39127i 0.459420 + 0.405334i
\(71\) 12.8889i 1.52963i −0.644251 0.764814i \(-0.722831\pi\)
0.644251 0.764814i \(-0.277169\pi\)
\(72\) 7.81115 3.31451i 0.920553 0.390619i
\(73\) 2.87605i 0.336616i 0.985734 + 0.168308i \(0.0538304\pi\)
−0.985734 + 0.168308i \(0.946170\pi\)
\(74\) −6.75094 + 7.65175i −0.784781 + 0.889498i
\(75\) 1.07338 6.87661i 0.123944 0.794043i
\(76\) 3.25582 4.19100i 0.373468 0.480740i
\(77\) −1.64847 6.15216i −0.187860 0.701104i
\(78\) −1.77790 + 4.80810i −0.201307 + 0.544410i
\(79\) −0.913281 1.58185i −0.102752 0.177972i 0.810065 0.586339i \(-0.199432\pi\)
−0.912818 + 0.408367i \(0.866098\pi\)
\(80\) 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
\(83\) −2.82747 0.757618i −0.310355 0.0831594i 0.100280 0.994959i \(-0.468026\pi\)
−0.410635 + 0.911800i \(0.634693\pi\)
\(84\) 0.125062 4.17920i 0.0136454 0.455989i
\(85\) −9.29402 + 2.49032i −1.00808 + 0.270114i
\(86\) 1.57014 + 0.317197i 0.169312 + 0.0342043i
\(87\) 11.5025 8.39646i 1.23320 0.900195i
\(88\) −14.8843 1.10958i −1.58667 0.118282i
\(89\) 2.11965i 0.224682i −0.993670 0.112341i \(-0.964165\pi\)
0.993670 0.112341i \(-0.0358349\pi\)
\(90\) −10.9399 + 6.53059i −1.15316 + 0.688385i
\(91\) 1.78611 + 1.78611i 0.187236 + 0.187236i
\(92\) −7.70286 3.24467i −0.803079 0.338280i
\(93\) −1.73756 4.49642i −0.180177 0.466257i
\(94\) −4.34779 + 2.88636i −0.448441 + 0.297705i
\(95\) −3.98433 + 6.90107i −0.408784 + 0.708035i
\(96\) −9.14857 3.50767i −0.933722 0.358000i
\(97\) −3.06298 5.30524i −0.310999 0.538666i 0.667580 0.744538i \(-0.267330\pi\)
−0.978579 + 0.205872i \(0.933997\pi\)
\(98\) 7.02046 + 3.48821i 0.709174 + 0.352363i
\(99\) 15.8128 + 0.757786i 1.58925 + 0.0761603i
\(100\) −6.40496 + 4.85419i −0.640496 + 0.485419i
\(101\) −3.38172 + 12.6207i −0.336493 + 1.25581i 0.565748 + 0.824579i \(0.308588\pi\)
−0.902241 + 0.431232i \(0.858079\pi\)
\(102\) 6.40582 + 4.53439i 0.634270 + 0.448971i
\(103\) 11.4364 + 6.60279i 1.12686 + 0.650592i 0.943143 0.332387i \(-0.107854\pi\)
0.183715 + 0.982979i \(0.441187\pi\)
\(104\) 5.33212 2.57038i 0.522858 0.252046i
\(105\) 0.670194 + 6.24211i 0.0654042 + 0.609167i
\(106\) −0.812374 + 0.920773i −0.0789047 + 0.0894334i
\(107\) 6.92566 + 6.92566i 0.669529 + 0.669529i 0.957607 0.288078i \(-0.0930163\pi\)
−0.288078 + 0.957607i \(0.593016\pi\)
\(108\) 9.79878 + 3.46179i 0.942888 + 0.333111i
\(109\) −5.36289 + 5.36289i −0.513672 + 0.513672i −0.915650 0.401977i \(-0.868323\pi\)
0.401977 + 0.915650i \(0.368323\pi\)
\(110\) 22.3674 1.39896i 2.13265 0.133386i
\(111\) −12.4261 + 1.33414i −1.17943 + 0.126631i
\(112\) −3.45437 + 3.37281i −0.326407 + 0.318700i
\(113\) 3.03493 5.25666i 0.285502 0.494505i −0.687228 0.726441i \(-0.741173\pi\)
0.972731 + 0.231937i \(0.0745062\pi\)
\(114\) 6.40673 1.09594i 0.600045 0.102644i
\(115\) 12.1226 + 3.24824i 1.13044 + 0.302900i
\(116\) −16.2904 2.24374i −1.51253 0.208326i
\(117\) −5.58128 + 2.87533i −0.515989 + 0.265824i
\(118\) 5.50932 + 16.3906i 0.507174 + 1.50888i
\(119\) 3.34908 1.93359i 0.307010 0.177252i
\(120\) 14.3270 + 3.34326i 1.30787 + 0.305196i
\(121\) −14.5896 8.42332i −1.32633 0.765757i
\(122\) −2.14687 + 10.6271i −0.194368 + 0.962128i
\(123\) 18.5300 7.16060i 1.67079 0.645650i
\(124\) −2.16077 + 5.12968i −0.194043 + 0.460659i
\(125\) −2.08464 + 2.08464i −0.186456 + 0.186456i
\(126\) 3.56775 3.67332i 0.317840 0.327245i
\(127\) 11.7086 1.03897 0.519484 0.854480i \(-0.326124\pi\)
0.519484 + 0.854480i \(0.326124\pi\)
\(128\) 4.79072 + 10.2493i 0.423443 + 0.905923i
\(129\) 1.15670 + 1.58460i 0.101842 + 0.139516i
\(130\) −7.40482 + 4.91581i −0.649445 + 0.431145i
\(131\) −2.31247 8.63027i −0.202042 0.754030i −0.990331 0.138725i \(-0.955700\pi\)
0.788289 0.615305i \(-0.210967\pi\)
\(132\) −12.5335 13.3068i −1.09090 1.15821i
\(133\) 0.828929 3.09360i 0.0718772 0.268250i
\(134\) −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 \(-0.645900\pi\)
0.555396 + 0.831586i \(0.312567\pi\)
\(138\) −4.27878 9.29972i −0.364234 0.791645i
\(139\) −16.8571 + 4.51685i −1.42980 + 0.383114i −0.888950 0.458004i \(-0.848565\pi\)
−0.540852 + 0.841118i \(0.681898\pi\)
\(140\) 4.44730 5.72471i 0.375865 0.483826i
\(141\) −6.31505 0.985729i −0.531823 0.0830134i
\(142\) −18.1921 + 1.13782i −1.52664 + 0.0954835i
\(143\) 11.0437 0.923518
\(144\) −5.36784 10.7325i −0.447320 0.894374i
\(145\) 24.6914 2.05051
\(146\) 4.05942 0.253895i 0.335960 0.0210125i
\(147\) 3.46078 + 8.95571i 0.285441 + 0.738655i
\(148\) 11.3961 + 8.85317i 0.936752 + 0.727726i
\(149\) 17.1123 4.58523i 1.40189 0.375637i 0.522870 0.852412i \(-0.324861\pi\)
0.879025 + 0.476776i \(0.158195\pi\)
\(150\) −9.80079 0.907973i −0.800231 0.0741357i
\(151\) 4.49848 2.59720i 0.366081 0.211357i −0.305664 0.952139i \(-0.598878\pi\)
0.671745 + 0.740783i \(0.265545\pi\)
\(152\) −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
\(155\) 2.16315 8.07299i 0.173748 0.648438i
\(156\) 6.94337 + 2.08497i 0.555915 + 0.166931i
\(157\) 2.74719 + 10.2527i 0.219250 + 0.818252i 0.984627 + 0.174670i \(0.0558858\pi\)
−0.765377 + 0.643582i \(0.777448\pi\)
\(158\) −2.15209 + 1.42870i −0.171211 + 0.113661i
\(159\) −1.49529 + 0.160544i −0.118584 + 0.0127320i
\(160\) −9.22595 14.2642i −0.729375 1.12768i
\(161\) −5.04415 −0.397534
\(162\) 5.99336 + 11.2285i 0.470883 + 0.882196i
\(163\) 2.62311 2.62311i 0.205458 0.205458i −0.596876 0.802334i \(-0.703591\pi\)
0.802334 + 0.596876i \(0.203591\pi\)
\(164\) −21.1397 8.90465i −1.65073 0.695337i
\(165\) 21.3696 + 17.2258i 1.66362 + 1.34102i
\(166\) −0.819738 + 4.05773i −0.0636240 + 0.314941i
\(167\) −5.07413 2.92955i −0.392648 0.226695i 0.290659 0.956827i \(-0.406126\pi\)
−0.683307 + 0.730131i \(0.739459\pi\)
\(168\) −5.90980 + 0.192416i −0.455951 + 0.0148453i
\(169\) 7.46532 4.31010i 0.574255 0.331546i
\(170\) 4.33545 + 12.8982i 0.332514 + 0.989251i
\(171\) 6.69564 + 4.30573i 0.512028 + 0.329267i
\(172\) 0.309100 2.24418i 0.0235687 0.171117i
\(173\) 0.719924 + 0.192903i 0.0547348 + 0.0146662i 0.286083 0.958205i \(-0.407647\pi\)
−0.231348 + 0.972871i \(0.574314\pi\)
\(174\) −12.8667 15.4941i −0.975419 1.17460i
\(175\) −2.42498 + 4.20019i −0.183311 + 0.317505i
\(176\) −0.252155 + 21.1065i −0.0190069 + 1.59096i
\(177\) −8.57055 + 19.3663i −0.644202 + 1.45566i
\(178\) −2.99179 + 0.187120i −0.224244 + 0.0140252i
\(179\) −0.114862 + 0.114862i −0.00858517 + 0.00858517i −0.711386 0.702801i \(-0.751932\pi\)
0.702801 + 0.711386i \(0.251932\pi\)
\(180\) 10.1834 + 14.8646i 0.759026 + 1.10794i
\(181\) −7.86110 7.86110i −0.584311 0.584311i 0.351774 0.936085i \(-0.385578\pi\)
−0.936085 + 0.351774i \(0.885578\pi\)
\(182\) 2.36334 2.67870i 0.175183 0.198558i
\(183\) −10.7249 + 7.82884i −0.792810 + 0.578724i
\(184\) −3.89970 + 11.1587i −0.287490 + 0.822629i
\(185\) −18.7652 10.8341i −1.37965 0.796540i
\(186\) −6.19310 + 2.84943i −0.454100 + 0.208931i
\(187\) 4.37603 16.3316i 0.320007 1.19428i
\(188\) 4.45779 + 5.88191i 0.325117 + 0.428983i
\(189\) 6.26067 0.370257i 0.455397 0.0269322i
\(190\) 10.0923 + 5.01449i 0.732171 + 0.363789i
\(191\) 2.25437 + 3.90468i 0.163120 + 0.282532i 0.935986 0.352037i \(-0.114511\pi\)
−0.772866 + 0.634569i \(0.781178\pi\)
\(192\) −4.14329 + 13.2224i −0.299016 + 0.954248i
\(193\) 9.64610 16.7075i 0.694342 1.20264i −0.276060 0.961140i \(-0.589029\pi\)
0.970402 0.241495i \(-0.0776377\pi\)
\(194\) −7.21772 + 4.79161i −0.518202 + 0.344017i
\(195\) −10.7553 1.67882i −0.770203 0.120222i
\(196\) 4.30370 10.2170i 0.307407 0.729786i
\(197\) −6.03688 6.03688i −0.430110 0.430110i 0.458556 0.888666i \(-0.348367\pi\)
−0.888666 + 0.458556i \(0.848367\pi\)
\(198\) −0.326360 22.3860i −0.0231934 1.59090i
\(199\) 8.81333i 0.624760i −0.949957 0.312380i \(-0.898874\pi\)
0.949957 0.312380i \(-0.101126\pi\)
\(200\) 7.41689 + 8.61179i 0.524454 + 0.608945i
\(201\) −16.1774 7.15933i −1.14107 0.504980i
\(202\) 18.1122 + 3.65900i 1.27437 + 0.257446i
\(203\) −9.58570 + 2.56848i −0.672784 + 0.180272i
\(204\) 5.83459 9.44182i 0.408503 0.661059i
\(205\) 33.2692 + 8.91447i 2.32362 + 0.622613i
\(206\) 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
\(210\) 8.75129 1.49700i 0.603897 0.103303i
\(211\) 0.261630 + 0.976416i 0.0180113 + 0.0672192i 0.974347 0.225053i \(-0.0722554\pi\)
−0.956335 + 0.292272i \(0.905589\pi\)
\(212\) 1.37135 + 1.06535i 0.0941844 + 0.0731682i
\(213\) −17.3805 14.0102i −1.19089 0.959964i
\(214\) 9.16387 10.3867i 0.626429 0.710017i
\(215\) 3.40150i 0.231981i
\(216\) 4.02113 14.1361i 0.273604 0.961843i
\(217\) 3.35912i 0.228032i
\(218\) 8.04292 + 7.09606i 0.544735 + 0.480606i
\(219\) 3.87833 + 3.12627i 0.262073 + 0.211254i
\(220\) −3.94915 31.4471i −0.266251 2.12016i
\(221\) 1.73548 + 6.47692i 0.116741 + 0.435685i
\(222\) 2.98004 + 17.4211i 0.200008 + 1.16922i
\(223\) −4.44475 7.69854i −0.297643 0.515532i 0.677954 0.735105i \(-0.262867\pi\)
−0.975596 + 0.219573i \(0.929534\pi\)
\(224\) 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
\(227\) −21.7441 5.82630i −1.44320 0.386705i −0.549550 0.835461i \(-0.685201\pi\)
−0.893655 + 0.448756i \(0.851867\pi\)
\(228\) −2.11244 8.94607i −0.139900 0.592468i
\(229\) 13.3954 3.58930i 0.885196 0.237187i 0.212548 0.977151i \(-0.431824\pi\)
0.672647 + 0.739963i \(0.265157\pi\)
\(230\) 3.51458 17.3973i 0.231744 1.14714i
\(231\) −10.0880 4.46446i −0.663743 0.293740i
\(232\) −1.72884 + 23.1913i −0.113504 + 1.52258i
\(233\) 6.70075i 0.438981i 0.975615 + 0.219491i \(0.0704395\pi\)
−0.975615 + 0.219491i \(0.929561\pi\)
\(234\) 4.55111 + 7.62389i 0.297515 + 0.498389i
\(235\) −7.83593 7.83593i −0.511160 0.511160i
\(236\) 22.6482 9.22310i 1.47427 0.600373i
\(237\) −3.12585 0.487920i −0.203046 0.0316938i
\(238\) −3.02483 4.55638i −0.196071 0.295346i
\(239\) 1.04479 1.80963i 0.0675819 0.117055i −0.830254 0.557385i \(-0.811805\pi\)
0.897836 + 0.440329i \(0.145138\pi\)
\(240\) 3.45409 20.5170i 0.222961 1.32437i
\(241\) 4.31263 + 7.46970i 0.277801 + 0.481166i 0.970838 0.239736i \(-0.0770610\pi\)
−0.693037 + 0.720902i \(0.743728\pi\)
\(242\) −10.6012 + 21.3362i −0.681470 + 1.37154i
\(243\) −3.86591 + 15.1015i −0.247998 + 0.968760i
\(244\) 15.1891 + 2.09206i 0.972385 + 0.133930i
\(245\) −4.30844 + 16.0793i −0.275256 + 1.02727i
\(246\) −11.7427 25.5221i −0.748686 1.62723i
\(247\) 4.80929 + 2.77665i 0.306008 + 0.176674i
\(248\) 7.43107 + 2.59699i 0.471873 + 0.164909i
\(249\) −4.09510 + 2.98929i −0.259517 + 0.189438i
\(250\) 3.12640 + 2.75834i 0.197731 + 0.174453i
\(251\) 16.7058 + 16.7058i 1.05446 + 1.05446i 0.998429 + 0.0560334i \(0.0178453\pi\)
0.0560334 + 0.998429i \(0.482155\pi\)
\(252\) −5.49968 4.71144i −0.346447 0.296793i
\(253\) −15.5941 + 15.5941i −0.980396 + 0.980396i
\(254\) −1.03362 16.5261i −0.0648551 1.03694i
\(255\) −6.74442 + 15.2399i −0.422352 + 0.954359i
\(256\) 14.0436 7.66668i 0.877723 0.479168i
\(257\) 7.26980 12.5917i 0.453477 0.785446i −0.545122 0.838357i \(-0.683517\pi\)
0.998599 + 0.0529109i \(0.0168499\pi\)
\(258\) 2.13448 1.77252i 0.132887 0.110352i
\(259\) 8.41207 + 2.25401i 0.522700 + 0.140057i
\(260\) 7.59214 + 10.0176i 0.470845 + 0.621265i
\(261\) 1.18071 24.6380i 0.0730840 1.52506i
\(262\) −11.9771 + 4.02582i −0.739948 + 0.248716i
\(263\) 7.27433 4.19984i 0.448555 0.258973i −0.258665 0.965967i \(-0.583283\pi\)
0.707220 + 0.706994i \(0.249949\pi\)
\(264\) −17.6755 + 18.8652i −1.08785 + 1.16107i
\(265\) −2.25811 1.30372i −0.138715 0.0800871i
\(266\) −4.43966 0.896896i −0.272213 0.0549922i
\(267\) −2.85832 2.30406i −0.174927 0.141006i
\(268\) 7.70443 + 18.9190i 0.470623 + 1.15566i
\(269\) 3.63413 3.63413i 0.221577 0.221577i −0.587585 0.809162i \(-0.699921\pi\)
0.809162 + 0.587585i \(0.199921\pi\)
\(270\) −3.08519 + 21.8511i −0.187759 + 1.32981i
\(271\) 2.61554 0.158882 0.0794412 0.996840i \(-0.474686\pi\)
0.0794412 + 0.996840i \(0.474686\pi\)
\(272\) −12.4182 + 3.16894i −0.752964 + 0.192145i
\(273\) 4.35007 0.467052i 0.263278 0.0282673i
\(274\) −1.19373 1.79815i −0.0721159 0.108630i
\(275\) 5.48812 + 20.4820i 0.330946 + 1.23511i
\(276\) −12.7484 + 6.86028i −0.767365 + 0.412941i
\(277\) −2.76263 + 10.3103i −0.165990 + 0.619484i 0.831922 + 0.554893i \(0.187241\pi\)
−0.997912 + 0.0645907i \(0.979426\pi\)
\(278\) 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 \(-0.735373\pi\)
0.302917 + 0.953017i \(0.402039\pi\)
\(282\) −0.833826 + 9.00044i −0.0496536 + 0.535968i
\(283\) 13.9481 3.73738i 0.829127 0.222164i 0.180794 0.983521i \(-0.442133\pi\)
0.648333 + 0.761357i \(0.275467\pi\)
\(284\) 3.21196 + 25.5769i 0.190594 + 1.51771i
\(285\) 4.97506 + 12.8743i 0.294697 + 0.762608i
\(286\) −0.974924 15.5876i −0.0576485 0.921717i
\(287\) −13.8431 −0.817134
\(288\) −14.6746 + 8.52393i −0.864707 + 0.502277i
\(289\) −6.73414 −0.396126
\(290\) −2.17973 34.8507i −0.127998 2.04651i
\(291\) −10.4835 1.63640i −0.614556 0.0959273i
\(292\) −0.716723 5.70728i −0.0419430 0.333993i
\(293\) −24.3455 + 6.52336i −1.42228 + 0.381099i −0.886292 0.463127i \(-0.846727\pi\)
−0.535988 + 0.844226i \(0.680061\pi\)
\(294\) 12.3351 5.67534i 0.719396 0.330993i
\(295\) −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
\(299\) 2.26367 8.44814i 0.130911 0.488568i
\(300\) −0.416360 + 13.9135i −0.0240386 + 0.803298i
\(301\) −0.353836 1.32053i −0.0203948 0.0761144i
\(302\) −4.06295 6.12012i −0.233796 0.352174i
\(303\) 13.3430 + 18.2790i 0.766537 + 1.05010i
\(304\) −5.41649 + 9.12804i −0.310657 + 0.523529i
\(305\) −23.0222 −1.31824
\(306\) 13.0777 3.70931i 0.747603 0.212047i
\(307\) 3.57698 3.57698i 0.204149 0.204149i −0.597626 0.801775i \(-0.703889\pi\)
0.801775 + 0.597626i \(0.203889\pi\)
\(308\) 4.80438 + 11.7976i 0.273755 + 0.672232i
\(309\) 21.3351 8.24460i 1.21371 0.469019i
\(310\) −11.5856 2.34052i −0.658019 0.132932i
\(311\) −3.71609 2.14548i −0.210720 0.121659i 0.390926 0.920422i \(-0.372155\pi\)
−0.601646 + 0.798763i \(0.705488\pi\)
\(312\) 2.32989 9.98432i 0.131904 0.565251i
\(313\) 8.68061 5.01175i 0.490657 0.283281i −0.234190 0.972191i \(-0.575244\pi\)
0.724847 + 0.688910i \(0.241910\pi\)
\(314\) 14.2287 4.78264i 0.802970 0.269900i
\(315\) 9.14593 + 5.88142i 0.515315 + 0.331381i
\(316\) 2.20653 + 2.91145i 0.124127 + 0.163782i
\(317\) 26.6623 + 7.14413i 1.49750 + 0.401254i 0.912262 0.409606i \(-0.134334\pi\)
0.585239 + 0.810861i \(0.301001\pi\)
\(318\) 0.358603 + 2.09636i 0.0201095 + 0.117558i
\(319\) −21.6940 + 37.5751i −1.21463 + 2.10380i
\(320\) −19.3188 + 14.2812i −1.07995 + 0.798346i
\(321\) 16.8674 1.81099i 0.941446 0.101080i
\(322\) 0.445292 + 7.11959i 0.0248152 + 0.396759i
\(323\) 6.01183 6.01183i 0.334507 0.334507i
\(324\) 15.3195 9.45060i 0.851082 0.525033i
\(325\) −5.94639 5.94639i −0.329846 0.329846i
\(326\) −3.93397 3.47084i −0.217883 0.192232i
\(327\) 1.40235 + 13.0613i 0.0775499 + 0.722291i
\(328\) −10.7023 + 30.6238i −0.590937 + 1.69092i
\(329\) 3.85720 + 2.22695i 0.212654 + 0.122776i
\(330\) 22.4269 31.6829i 1.23456 1.74409i
\(331\) −1.23731 + 4.61769i −0.0680085 + 0.253811i −0.991557 0.129670i \(-0.958608\pi\)
0.923549 + 0.383481i \(0.125275\pi\)
\(332\) 5.79967 + 0.798811i 0.318298 + 0.0438405i
\(333\) −11.7081 + 18.2066i −0.641597 + 0.997718i
\(334\) −3.68699 + 7.42053i −0.201743 + 0.406033i
\(335\) −15.3363 26.5632i −0.837909 1.45130i
\(336\) 0.793299 + 8.32444i 0.0432780 + 0.454135i
\(337\) −7.47777 + 12.9519i −0.407340 + 0.705534i −0.994591 0.103871i \(-0.966877\pi\)
0.587251 + 0.809405i \(0.300210\pi\)
\(338\) −6.74255 10.1565i −0.366746 0.552439i
\(339\) −3.78958 9.80657i −0.205822 0.532620i
\(340\) 17.8226 7.25794i 0.966565 0.393617i
\(341\) 10.3848 + 10.3848i 0.562371 + 0.562371i
\(342\) 5.48626 9.83070i 0.296663 0.531584i
\(343\) 15.1393i 0.817446i
\(344\) −3.19485 0.238167i −0.172255 0.0128411i
\(345\) 17.5575 12.8164i 0.945265 0.690011i
\(346\) 0.208720 1.03317i 0.0112209 0.0555436i
\(347\) 29.4830 7.89996i 1.58273 0.424092i 0.642962 0.765898i \(-0.277705\pi\)
0.939771 + 0.341806i \(0.111039\pi\)
\(348\) −20.7334 + 19.5285i −1.11142 + 1.04684i
\(349\) −32.4685 8.69992i −1.73800 0.465696i −0.756000 0.654572i \(-0.772849\pi\)
−0.982001 + 0.188876i \(0.939515\pi\)
\(350\) 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 0.851692 + 0.524043i \(0.175577\pi\)
0.0279885 + 0.999608i \(0.491090\pi\)
\(354\) 28.0912 + 10.3873i 1.49303 + 0.552080i
\(355\) −10.0178 37.3870i −0.531691 1.98430i
\(356\) 0.528224 + 4.20625i 0.0279958 + 0.222931i
\(357\) 1.03302 6.61802i 0.0546732 0.350263i
\(358\) 0.172262 + 0.151982i 0.00910434 + 0.00803252i
\(359\) 13.5739i 0.716404i 0.933644 + 0.358202i \(0.116610\pi\)
−0.933644 + 0.358202i \(0.883390\pi\)
\(360\) 20.0818 15.6856i 1.05840 0.826706i
\(361\) 11.9588i 0.629410i
\(362\) −10.4016 + 11.7896i −0.546697 + 0.619645i
\(363\) −27.2177 + 10.5178i −1.42856 + 0.552042i
\(364\) −3.98950 3.09928i −0.209106 0.162447i
\(365\) 2.23540 + 8.34262i 0.117006 + 0.436673i
\(366\) 11.9968 + 14.4466i 0.627085 + 0.755138i
\(367\) −1.88219 3.26006i −0.0982497 0.170174i 0.812711 0.582668i \(-0.197991\pi\)
−0.910960 + 0.412494i \(0.864658\pi\)
\(368\) 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
\(371\) 1.01227 + 0.271236i 0.0525542 + 0.0140819i
\(372\) 4.56857 + 8.48975i 0.236869 + 0.440173i
\(373\) 20.6979 5.54598i 1.07170 0.287160i 0.320506 0.947247i \(-0.396147\pi\)
0.751189 + 0.660087i \(0.229480\pi\)
\(374\) −23.4376 4.73484i −1.21193 0.244833i
\(375\) 0.545113 + 5.07712i 0.0281495 + 0.262181i
\(376\) 7.90853 6.81121i 0.407851 0.351262i
\(377\) 17.2072i 0.886215i
\(378\) −1.07529 8.80398i −0.0553068 0.452828i
\(379\) 0.0423205 + 0.0423205i 0.00217386 + 0.00217386i 0.708193 0.706019i \(-0.249511\pi\)
−0.706019 + 0.708193i \(0.749511\pi\)
\(380\) 6.18680 14.6875i 0.317376 0.753452i
\(381\) 12.7272 15.7889i 0.652035 0.808890i
\(382\) 5.31226 3.52664i 0.271799 0.180438i
\(383\) −6.83724 + 11.8424i −0.349367 + 0.605121i −0.986137 0.165933i \(-0.946937\pi\)
0.636770 + 0.771053i \(0.280270\pi\)
\(384\) 19.0287 + 4.68081i 0.971052 + 0.238866i
\(385\) −9.56348 16.5644i −0.487400 0.844201i
\(386\) −24.4335 12.1401i −1.24363 0.617916i
\(387\) 3.39416 + 0.162655i 0.172535 + 0.00826824i
\(388\) 7.40032 + 9.76449i 0.375694 + 0.495717i
\(389\) 3.68890 13.7672i 0.187035 0.698023i −0.807151 0.590345i \(-0.798992\pi\)
0.994186 0.107678i \(-0.0343416\pi\)
\(390\) −1.42011 + 15.3288i −0.0719099 + 0.776205i
\(391\) −11.5963 6.69511i −0.586449 0.338586i
\(392\) −14.8008 5.17253i −0.747552 0.261252i
\(393\) −14.1515 6.26276i −0.713849 0.315914i
\(394\) −7.98786 + 9.05372i −0.402422 + 0.456120i
\(395\) −3.87866 3.87866i −0.195157 0.195157i
\(396\) −31.5680 + 2.43686i −1.58635 + 0.122457i
\(397\) 16.1526 16.1526i 0.810677 0.810677i −0.174058 0.984735i \(-0.555688\pi\)
0.984735 + 0.174058i \(0.0556881\pi\)
\(398\) −12.4396 + 0.778032i −0.623542 + 0.0389992i
\(399\) −3.27065 4.48055i −0.163737 0.224308i
\(400\) 11.5004 11.2289i 0.575020 0.561443i
\(401\) 1.96568 3.40466i 0.0981615 0.170021i −0.812762 0.582596i \(-0.802037\pi\)
0.910924 + 0.412575i \(0.135370\pi\)
\(402\) −8.67695 + 23.4657i −0.432767 + 1.17036i
\(403\) −5.62599 1.50748i −0.280251 0.0750929i
\(404\) 3.56559 25.8875i 0.177395 1.28795i
\(405\) −20.8512 + 17.1962i −1.03610 + 0.854485i
\(406\) 4.47151 + 13.3031i 0.221917 + 0.660219i
\(407\) 32.9745 19.0379i 1.63449 0.943671i
\(408\) −13.8418 7.40174i −0.685270 0.366441i
\(409\) 17.7471 + 10.2463i 0.877536 + 0.506646i 0.869845 0.493325i \(-0.164219\pi\)
0.00769067 + 0.999970i \(0.497552\pi\)
\(410\) 9.64540 47.7450i 0.476352 2.35796i
\(411\) 0.407675 2.61176i 0.0201091 0.128829i
\(412\) −24.3399 10.2527i −1.19914 0.505113i
\(413\) 10.4353 10.4353i 0.513489 0.513489i
\(414\) −17.1916 4.33890i −0.844923 0.213246i
\(415\) −8.79055 −0.431511
\(416\) −9.94059 + 6.42948i −0.487377 + 0.315231i
\(417\) −12.2328 + 27.6415i −0.599041 + 1.35361i
\(418\) −16.4982 + 10.9526i −0.806951 + 0.535708i
\(419\) −1.48550 5.54398i −0.0725716 0.270841i 0.920100 0.391683i \(-0.128107\pi\)
−0.992672 + 0.120842i \(0.961440\pi\)
\(420\) −2.88550 12.2199i −0.140798 0.596270i
\(421\) −10.0100 + 37.3580i −0.487859 + 1.82072i 0.0789649 + 0.996877i \(0.474838\pi\)
−0.566824 + 0.823839i \(0.691828\pi\)
\(422\) 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
\(426\) −18.2405 + 25.7687i −0.883753 + 1.24850i
\(427\) 8.93769 2.39485i 0.432525 0.115895i
\(428\) −15.4693 12.0175i −0.747736 0.580886i
\(429\) 12.0045 14.8923i 0.579582 0.719007i
\(430\) 4.80107 0.300281i 0.231528 0.0144808i
\(431\) 29.0431 1.39896 0.699479 0.714653i \(-0.253415\pi\)
0.699479 + 0.714653i \(0.253415\pi\)
\(432\) −20.3075 4.42773i −0.977046 0.213029i
\(433\) 28.4001 1.36482 0.682411 0.730969i \(-0.260932\pi\)
0.682411 + 0.730969i \(0.260932\pi\)
\(434\) 4.74125 0.296540i 0.227587 0.0142344i
\(435\) 26.8395 33.2961i 1.28686 1.59642i
\(436\) 9.30575 11.9787i 0.445664 0.573673i
\(437\) −10.7117 + 2.87019i −0.512409 + 0.137300i
\(438\) 4.07022 5.75008i 0.194483 0.274749i
\(439\) 2.37559 1.37154i 0.113381 0.0654603i −0.442237 0.896898i \(-0.645815\pi\)
0.555618 + 0.831438i \(0.312482\pi\)
\(440\) −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
\(443\) −1.83055 + 6.83170i −0.0869720 + 0.324584i −0.995680 0.0928477i \(-0.970403\pi\)
0.908708 + 0.417432i \(0.137070\pi\)
\(444\) 24.3260 5.74411i 1.15446 0.272604i
\(445\) −1.64749 6.14850i −0.0780983 0.291467i
\(446\) −10.4738 + 6.95319i −0.495947 + 0.329243i
\(447\) 12.4180 28.0599i 0.587349 1.32719i
\(448\) 6.01439 7.55389i 0.284153 0.356888i
\(449\) 2.27698 0.107457 0.0537287 0.998556i \(-0.482889\pi\)
0.0537287 + 0.998556i \(0.482889\pi\)
\(450\) −11.8779 + 12.2293i −0.559928 + 0.576495i
\(451\) −42.7965 + 42.7965i −2.01521 + 2.01521i
\(452\) −4.71258 + 11.1877i −0.221661 + 0.526225i
\(453\) 1.38755 8.88931i 0.0651928 0.417656i
\(454\) −6.30403 + 31.2051i −0.295863 + 1.46453i
\(455\) 6.56927 + 3.79277i 0.307972 + 0.177808i
\(456\) −12.4405 + 3.77137i −0.582579 + 0.176611i
\(457\) −21.7536 + 12.5595i −1.01759 + 0.587507i −0.913406 0.407051i \(-0.866557\pi\)
−0.104187 + 0.994558i \(0.533224\pi\)
\(458\) −6.24867 18.5902i −0.291981 0.868663i
\(459\) 14.8845 + 7.45861i 0.694747 + 0.348138i
\(460\) −24.8657 3.42486i −1.15937 0.159685i
\(461\) −21.4217 5.73994i −0.997710 0.267336i −0.277224 0.960805i \(-0.589415\pi\)
−0.720486 + 0.693470i \(0.756081\pi\)
\(462\) −5.41083 + 14.6329i −0.251734 + 0.680784i
\(463\) 19.5447 33.8525i 0.908321 1.57326i 0.0919260 0.995766i \(-0.470698\pi\)
0.816396 0.577493i \(-0.195969\pi\)
\(464\) 32.8861 + 0.392883i 1.52670 + 0.0182392i
\(465\) −8.53501 11.6923i −0.395802 0.542219i
\(466\) 9.45782 0.591536i 0.438125 0.0274024i
\(467\) 4.46264 4.46264i 0.206506 0.206506i −0.596274 0.802781i \(-0.703353\pi\)
0.802781 + 0.596274i \(0.203353\pi\)
\(468\) 10.3590 7.09672i 0.478846 0.328046i
\(469\) 8.71705 + 8.71705i 0.402516 + 0.402516i
\(470\) −10.3683 + 11.7518i −0.478255 + 0.542071i
\(471\) 16.8118 + 7.44009i 0.774648 + 0.342821i
\(472\) −15.0174 31.1528i −0.691230 1.43392i
\(473\) −5.17638 2.98858i −0.238010 0.137415i
\(474\) −0.412730 + 4.45507i −0.0189573 + 0.204628i
\(475\) −2.75970 + 10.2993i −0.126624 + 0.472565i
\(476\) −6.16410 + 4.67165i −0.282531 + 0.214125i
\(477\) −1.40889 + 2.19090i −0.0645085 + 0.100314i
\(478\) −2.64645 1.31492i −0.121046 0.0601432i
\(479\) 2.80441 + 4.85738i 0.128137 + 0.221939i 0.922955 0.384909i \(-0.125767\pi\)
−0.794818 + 0.606848i \(0.792434\pi\)
\(480\) −29.2638 3.06408i −1.33570 0.139855i
\(481\) −7.55020 + 13.0773i −0.344260 + 0.596275i
\(482\) 10.1624 6.74651i 0.462886 0.307295i
\(483\) −5.48299 + 6.80199i −0.249485 + 0.309501i
\(484\) 31.0510 + 13.0796i 1.41141 + 0.594526i
\(485\) −13.0083 13.0083i −0.590678 0.590678i
\(486\) 21.6563 + 4.12342i 0.982352 + 0.187042i
\(487\) 34.1026i 1.54534i −0.634810 0.772668i \(-0.718922\pi\)
0.634810 0.772668i \(-0.281078\pi\)
\(488\) 1.61197 21.6235i 0.0729704 0.978849i
\(489\) −0.685919 6.38857i −0.0310183 0.288901i
\(490\) 23.0756 + 4.66171i 1.04245 + 0.210594i
\(491\) −14.5988 + 3.91173i −0.658833 + 0.176534i −0.572719 0.819751i \(-0.694112\pi\)
−0.0861138 + 0.996285i \(0.527445\pi\)
\(492\) −34.9867 + 18.8273i −1.57732 + 0.848802i
\(493\) −25.4463 6.81831i −1.14604 0.307081i
\(494\) 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
\(498\) 4.58076 + 5.51616i 0.205269 + 0.247185i
\(499\) 2.37206 + 8.85266i 0.106188 + 0.396300i 0.998477 0.0551648i \(-0.0175684\pi\)
−0.892289 + 0.451464i \(0.850902\pi\)
\(500\) 3.61728 4.65628i 0.161770 0.208235i
\(501\) −9.46606 + 3.65800i −0.422912 + 0.163427i
\(502\) 22.1048 25.0543i 0.986584 1.11823i
\(503\) 6.41865i 0.286194i 0.989709 + 0.143097i \(0.0457060\pi\)
−0.989709 + 0.143097i \(0.954294\pi\)
\(504\) −6.16449 + 8.17847i −0.274588 + 0.364298i
\(505\) 39.2377i 1.74605i
\(506\) 23.3871 + 20.6338i 1.03968 + 0.917285i
\(507\) 2.30267 14.7520i 0.102265 0.655159i
\(508\) −23.2346 + 2.91782i −1.03087 + 0.129457i
\(509\) −6.23386 23.2651i −0.276311 1.03121i −0.954958 0.296742i \(-0.904100\pi\)
0.678647 0.734465i \(-0.262567\pi\)
\(510\) 22.1058 + 8.17409i 0.978862 + 0.361955i
\(511\) −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
\(515\) 38.3057 + 10.2640i 1.68795 + 0.452285i
\(516\) −2.69027 2.85625i −0.118432 0.125739i
\(517\) 18.8094 5.03995i 0.827235 0.221657i
\(518\) 2.43882 12.0722i 0.107156 0.530424i
\(519\) 1.04269 0.761126i 0.0457689 0.0334097i
\(520\) 13.4692 11.6003i 0.590662 0.508708i
\(521\) 15.3122i 0.670839i 0.942069 + 0.335420i \(0.108878\pi\)
−0.942069 + 0.335420i \(0.891122\pi\)
\(522\) −34.8797 + 0.508502i −1.52664 + 0.0222565i
\(523\) −19.6619 19.6619i −0.859756 0.859756i 0.131553 0.991309i \(-0.458004\pi\)
−0.991309 + 0.131553i \(0.958004\pi\)
\(524\) 6.73960 + 16.5497i 0.294421 + 0.722979i
\(525\) 3.02797 + 7.83568i 0.132151 + 0.341977i
\(526\) −6.57006 9.89664i −0.286468 0.431514i
\(527\) −4.45858 + 7.72248i −0.194219 + 0.336397i
\(528\) 28.1878 + 23.2828i 1.22672 + 1.01325i
\(529\) −2.76726 4.79304i −0.120316 0.208393i
\(530\) −1.64080 + 3.30232i −0.0712719 + 0.143444i
\(531\) 16.7990 + 32.6084i 0.729016 + 1.41509i
\(532\) −0.874000 + 6.34556i −0.0378927 + 0.275115i
\(533\) 6.21241 23.1850i 0.269089 1.00426i
\(534\) −2.99974 + 4.23780i −0.129812 + 0.183387i
\(535\) 25.4723 + 14.7065i 1.10127 + 0.635816i
\(536\) 26.0232 12.5446i 1.12403 0.541845i
\(537\) 0.0300353 + 0.279745i 0.00129612 + 0.0120719i
\(538\) −5.45023 4.80859i −0.234976 0.207313i
\(539\) −20.6839 20.6839i −0.890921 0.890921i
\(540\) 31.1142 + 2.42562i 1.33894 + 0.104382i
\(541\) 12.1084 12.1084i 0.520580 0.520580i −0.397167 0.917746i \(-0.630007\pi\)
0.917746 + 0.397167i \(0.130007\pi\)
\(542\) −0.230897 3.69171i −0.00991787 0.158573i
\(543\) −19.1456 + 2.05560i −0.821618 + 0.0882144i
\(544\) 5.56909 + 17.2480i 0.238773 + 0.739501i
\(545\) −11.3880 + 19.7245i −0.487807 + 0.844906i
\(546\) −1.04324 6.09870i −0.0446467 0.261000i
\(547\) 36.4729 + 9.77287i 1.55947 + 0.417858i 0.932495 0.361184i \(-0.117627\pi\)
0.626972 + 0.779042i \(0.284294\pi\)
\(548\) −2.43262 + 1.84364i −0.103916 + 0.0787562i
\(549\) −1.10089 + 22.9724i −0.0469848 + 0.980440i
\(550\) 28.4249 9.55437i 1.21204 0.407400i
\(551\) −18.8946 + 10.9088i −0.804936 + 0.464730i
\(552\) 10.8084 + 17.3882i 0.460036 + 0.740091i
\(553\) 1.90925 + 1.10231i 0.0811895 + 0.0468748i
\(554\) 14.7964 + 2.98915i 0.628637 + 0.126997i
\(555\) −35.0076 + 13.5281i −1.48599 + 0.574235i
\(556\) 32.3259 13.1642i 1.37092 0.558285i
\(557\) −29.5565 + 29.5565i −1.25235 + 1.25235i −0.297685 + 0.954664i \(0.596214\pi\)
−0.954664 + 0.297685i \(0.903786\pi\)
\(558\) −2.88947 + 11.4487i −0.122321 + 0.484661i
\(559\) 2.37048 0.100260
\(560\) −7.39866 + 12.4685i −0.312651 + 0.526889i
\(561\) −17.2662 23.6535i −0.728981 0.998650i
\(562\) 5.61639 + 8.46011i 0.236913 + 0.356868i
\(563\) 6.91061 + 25.7907i 0.291247 + 1.08695i 0.944152 + 0.329510i \(0.106884\pi\)
−0.652905 + 0.757440i \(0.726450\pi\)
\(564\) 12.7773 + 0.382359i 0.538022 + 0.0161002i
\(565\) 4.71778 17.6070i 0.198478 0.740731i
\(566\) −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 \(-0.592834\pi\)
0.685690 + 0.727893i \(0.259500\pi\)
\(570\) 17.7323 8.15861i 0.742725 0.341726i
\(571\) −36.2420 + 9.71100i −1.51668 + 0.406393i −0.918647 0.395080i \(-0.870717\pi\)
−0.598032 + 0.801472i \(0.704050\pi\)
\(572\) −21.9152 + 2.75212i −0.916321 + 0.115072i
\(573\) 7.71592 + 1.20439i 0.322337 + 0.0503142i
\(574\) 1.22206 + 19.5390i 0.0510077 + 0.815541i
\(575\) 16.7931 0.700322
\(576\) 13.3266 + 19.9600i 0.555275 + 0.831667i
\(577\) −29.3500 −1.22186 −0.610929 0.791686i \(-0.709204\pi\)
−0.610929 + 0.791686i \(0.709204\pi\)
\(578\) 0.594483 + 9.50494i 0.0247272 + 0.395353i
\(579\) −12.0447 31.1688i −0.500559 1.29533i
\(580\) −48.9979 + 6.15318i −2.03453 + 0.255497i
\(581\) 3.41268 0.914424i 0.141582 0.0379367i
\(582\) −1.38423 + 14.9415i −0.0573780 + 0.619346i
\(583\) 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
\(587\) 0.643018 2.39978i 0.0265402 0.0990494i −0.951385 0.308003i \(-0.900339\pi\)
0.977925 + 0.208954i \(0.0670059\pi\)
\(588\) −9.09942 16.9094i −0.375254 0.697332i
\(589\) 1.91139 + 7.13339i 0.0787573 + 0.293926i
\(590\) 28.7205 + 43.2624i 1.18240 + 1.78109i
\(591\) −14.7028 + 1.57859i −0.604791 + 0.0649344i
\(592\) −24.8208 14.7284i −1.02013 0.605333i
\(593\) −3.31760 −0.136238 −0.0681188 0.997677i \(-0.521700\pi\)
−0.0681188 + 0.997677i \(0.521700\pi\)
\(594\) −30.5421 23.8935i −1.25316 0.980363i
\(595\) 8.21187 8.21187i 0.336654 0.336654i
\(596\) −32.8152 + 13.3634i −1.34416 + 0.547388i
\(597\) −11.8847 9.58009i −0.486408 0.392087i
\(598\) −12.1240 2.44928i −0.495787 0.100158i
\(599\) 16.9013 + 9.75798i 0.690569 + 0.398700i 0.803825 0.594866i \(-0.202795\pi\)
−0.113256 + 0.993566i \(0.536128\pi\)
\(600\) 19.6751 0.640599i 0.803232 0.0261523i
\(601\) −5.79012 + 3.34293i −0.236184 + 0.136361i −0.613422 0.789756i \(-0.710207\pi\)
0.377238 + 0.926116i \(0.376874\pi\)
\(602\) −1.83264 + 0.616000i −0.0746928 + 0.0251063i
\(603\) −27.2392 + 14.0329i −1.10926 + 0.571465i
\(604\) −8.27961 + 6.27495i −0.336893 + 0.255324i
\(605\) −48.8674 13.0940i −1.98674 0.532346i
\(606\) 24.6220 20.4467i 1.00020 0.830592i
\(607\) −4.11486 + 7.12715i −0.167017 + 0.289282i −0.937370 0.348336i \(-0.886747\pi\)
0.770353 + 0.637618i \(0.220080\pi\)
\(608\) 13.3620 + 6.83932i 0.541900 + 0.277371i
\(609\) −6.95609 + 15.7182i −0.281875 + 0.636933i
\(610\) 2.03237 + 32.4948i 0.0822884 + 1.31567i
\(611\) −5.46079 + 5.46079i −0.220920 + 0.220920i
\(612\) −6.39001 18.1312i −0.258301 0.732908i
\(613\) −5.65366 5.65366i −0.228349 0.228349i 0.583654 0.812003i \(-0.301623\pi\)
−0.812003 + 0.583654i \(0.801623\pi\)
\(614\) −5.36452 4.73298i −0.216495 0.191007i
\(615\) 48.1848 35.1733i 1.94300 1.41832i
\(616\) 16.2277 7.82265i 0.653833 0.315184i
\(617\) 24.8990 + 14.3754i 1.00240 + 0.578733i 0.908956 0.416891i \(-0.136880\pi\)
0.0934395 + 0.995625i \(0.470214\pi\)
\(618\) −13.5203 29.3858i −0.543868 1.18207i
\(619\) −5.61764 + 20.9653i −0.225792 + 0.842668i 0.756293 + 0.654232i \(0.227008\pi\)
−0.982086 + 0.188435i \(0.939658\pi\)
\(620\) −2.28077 + 16.5592i −0.0915978 + 0.665034i
\(621\) −11.9491 18.1325i −0.479502 0.727631i
\(622\) −2.70020 + 5.43449i −0.108268 + 0.217903i
\(623\) 1.27918 + 2.21560i 0.0512491 + 0.0887661i
\(624\) −14.2981 2.40713i −0.572382 0.0963621i
\(625\) −14.4724 + 25.0669i −0.578896 + 1.00268i
\(626\) −7.84018 11.8099i −0.313357 0.472017i
\(627\) −23.9631 3.74045i −0.956995 0.149379i
\(628\) −8.00657 19.6609i −0.319497 0.784556i
\(629\) 16.3472 + 16.3472i 0.651807 + 0.651807i
\(630\) 7.49398 13.4283i 0.298567 0.534995i
\(631\) 13.0320i 0.518796i −0.965770 0.259398i \(-0.916476\pi\)
0.965770 0.259398i \(-0.0835242\pi\)
\(632\) 3.91459 3.37144i 0.155714 0.134109i
\(633\) 1.60108 + 0.708559i 0.0636372 + 0.0281627i
\(634\) 7.72991 38.2633i 0.306994 1.51963i
\(635\) 33.9633 9.10043i 1.34779 0.361140i
\(636\) 2.92726 0.691217i 0.116074 0.0274086i
\(637\) 11.2055 + 3.00251i 0.443979 + 0.118964i
\(638\) 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 0.967490 0.252908i \(-0.0813869\pi\)
−0.702770 + 0.711417i \(0.748054\pi\)
\(642\) −4.04517 23.6477i −0.159650 0.933300i
\(643\) 2.65048 + 9.89172i 0.104525 + 0.390091i 0.998291 0.0584419i \(-0.0186132\pi\)
−0.893766 + 0.448533i \(0.851947\pi\)
\(644\) 10.0097 1.25702i 0.394436 0.0495335i
\(645\) 4.58690 + 3.69744i 0.180609 + 0.145586i
\(646\) −9.01614 7.95471i −0.354735 0.312974i
\(647\) 25.5231i 1.00342i 0.865036 + 0.501709i \(0.167295\pi\)
−0.865036 + 0.501709i \(0.832705\pi\)
\(648\) −14.6915 20.7885i −0.577136 0.816648i
\(649\) 64.5223i 2.53272i
\(650\) −7.86812 + 8.91800i −0.308613 + 0.349793i
\(651\) 4.52975 + 3.65137i 0.177535 + 0.143108i
\(652\) −4.55165 + 5.85903i −0.178256 + 0.229457i
\(653\) 4.44634 + 16.5940i 0.173999 + 0.649372i 0.996720 + 0.0809269i \(0.0257880\pi\)
−0.822721 + 0.568445i \(0.807545\pi\)
\(654\) 18.3116 3.13239i 0.716041 0.122486i
\(655\) −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
\(659\) −4.84828 1.29909i −0.188862 0.0506054i 0.163148 0.986602i \(-0.447835\pi\)
−0.352010 + 0.935996i \(0.614502\pi\)
\(660\) −46.6989 28.8576i −1.81775 1.12328i
\(661\) 24.2257 6.49124i 0.942269 0.252480i 0.245190 0.969475i \(-0.421150\pi\)
0.697079 + 0.716995i \(0.254483\pi\)
\(662\) 6.62690 + 1.33876i 0.257562 + 0.0520323i
\(663\) 10.6205 + 4.70013i 0.412468 + 0.182538i
\(664\) 0.615498 8.25649i 0.0238860 0.320414i
\(665\) 9.61796i 0.372969i
\(666\) 26.7314 + 14.9181i 1.03582 + 0.578066i
\(667\) 24.2973 + 24.2973i 0.940795 + 0.940795i
\(668\) 10.7992 + 4.54895i 0.417835 + 0.176004i
\(669\) −15.2129 2.37461i −0.588163 0.0918076i
\(670\) −36.1389 + 23.9914i −1.39617 + 0.926869i
\(671\) 20.2274 35.0349i 0.780871 1.35251i
\(672\) 11.6795 1.85458i 0.450548 0.0715419i
\(673\) −12.8215 22.2075i −0.494233 0.856037i 0.505745 0.862683i \(-0.331218\pi\)
−0.999978 + 0.00664596i \(0.997885\pi\)
\(674\) 18.9411 + 9.41116i 0.729585 + 0.362504i
\(675\) −20.8432 + 1.23267i −0.802256 + 0.0474455i
\(676\) −13.7402 + 10.4134i −0.528469 + 0.400516i
\(677\) −6.01329 + 22.4419i −0.231110 + 0.862513i 0.748755 + 0.662847i \(0.230652\pi\)
−0.979864 + 0.199665i \(0.936015\pi\)
\(678\) −13.5070 + 6.21454i −0.518733 + 0.238668i
\(679\) 6.40328 + 3.69694i 0.245735 + 0.141875i
\(680\) −11.8176 24.5151i −0.453185 0.940109i
\(681\) −31.4925 + 22.9885i −1.20680 + 0.880921i
\(682\) 13.7410 15.5745i 0.526169 0.596379i
\(683\) −29.4647 29.4647i −1.12744 1.12744i −0.990593 0.136843i \(-0.956304\pi\)
−0.136843 0.990593i \(-0.543696\pi\)
\(684\) −14.3599 6.87577i −0.549065 0.262902i
\(685\) 3.24076 3.24076i 0.123823 0.123823i
\(686\) −21.3685 + 1.33648i −0.815852 + 0.0510272i
\(687\) 9.72072 21.9652i 0.370869 0.838025i
\(688\) −0.0541240 + 4.53041i −0.00206346 + 0.172720i
\(689\) −0.908553 + 1.57366i −0.0346131 + 0.0599517i
\(690\) −19.6397 23.6502i −0.747672 0.900349i
\(691\) −18.9096 5.06682i −0.719357 0.192751i −0.119472 0.992838i \(-0.538120\pi\)
−0.599885 + 0.800087i \(0.704787\pi\)
\(692\) −1.47670 0.203392i −0.0561357 0.00773180i
\(693\) −16.9860 + 8.75073i −0.645244 + 0.332413i
\(694\) −13.7532 40.9166i −0.522063 1.55317i
\(695\) −45.3871 + 26.2042i −1.72163 + 0.993984i
\(696\) 29.3940 + 27.5403i 1.11418 + 1.04391i
\(697\) −31.8248 18.3740i −1.20545 0.695966i
\(698\) −9.41326 + 46.5959i −0.356297 + 1.76368i
\(699\) 9.03591 + 7.28373i 0.341770 + 0.275496i
\(700\) 3.76546 8.93923i 0.142321 0.337871i
\(701\) 7.85067 7.85067i 0.296516 0.296516i −0.543132 0.839647i \(-0.682762\pi\)
0.839647 + 0.543132i \(0.182762\pi\)
\(702\) 15.2278 + 2.15004i 0.574737 + 0.0811482i
\(703\) 19.1463 0.722117
\(704\) −4.75943 41.9468i −0.179378 1.58093i
\(705\) −19.0844 + 2.04902i −0.718758 + 0.0771707i
\(706\) 38.9464 25.8553i 1.46577 0.973075i
\(707\) −4.08164 15.2329i −0.153506 0.572892i
\(708\) 12.1814 40.5665i 0.457804 1.52458i
\(709\) −12.9865 + 48.4664i −0.487720 + 1.82020i 0.0797675 + 0.996813i \(0.474582\pi\)
−0.567487 + 0.823382i \(0.692084\pi\)
\(710\) −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
\(714\) −9.43224 0.873830i −0.352993 0.0327023i
\(715\) 32.0346 8.58364i 1.19803 0.321010i
\(716\) 0.199309 0.256557i 0.00744854 0.00958800i
\(717\) −1.30458 3.37596i −0.0487206 0.126078i
\(718\) 19.1590 1.19829i 0.715007 0.0447198i
\(719\) −46.4032 −1.73055 −0.865273 0.501301i \(-0.832855\pi\)
−0.865273 + 0.501301i \(0.832855\pi\)
\(720\) −23.9124 26.9598i −0.891162 1.00473i
\(721\) −15.9388 −0.593591
\(722\) 16.8793 1.05571i 0.628182 0.0392895i
\(723\) 14.7607 + 2.30402i 0.548955 + 0.0856875i
\(724\) 17.5587 + 13.6407i 0.652563 + 0.506951i
\(725\) 31.9130 8.55107i 1.18522 0.317579i
\(726\) 17.2482 + 37.4881i 0.640140 + 1.39131i
\(727\) 13.4929 7.79014i 0.500425 0.288920i −0.228464 0.973552i \(-0.573370\pi\)
0.728889 + 0.684632i \(0.240037\pi\)
\(728\) −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
\(731\) 0.939296 3.50550i 0.0347411 0.129656i
\(732\) 19.3317 18.2084i 0.714521 0.673000i
\(733\) −6.02884 22.5000i −0.222680 0.831055i −0.983321 0.181881i \(-0.941781\pi\)
0.760640 0.649174i \(-0.224885\pi\)
\(734\) −4.43527 + 2.94443i −0.163709 + 0.108681i
\(735\) 16.9996 + 23.2881i 0.627038 + 0.858996i
\(736\) 4.95784 23.1153i 0.182748 0.852040i
\(737\) 53.8981 1.98536
\(738\) −47.1807 11.9077i −1.73674 0.438327i
\(739\) 17.1341 17.1341i 0.630288 0.630288i −0.317853 0.948140i \(-0.602962\pi\)
0.948140 + 0.317853i \(0.102962\pi\)
\(740\) 39.9379 + 16.8230i 1.46815 + 0.618426i
\(741\) 8.97199 3.46707i 0.329594 0.127366i
\(742\) 0.293475 1.45271i 0.0107738 0.0533307i
\(743\) −34.9775 20.1943i −1.28320 0.740855i −0.305767 0.952106i \(-0.598913\pi\)
−0.977432 + 0.211251i \(0.932246\pi\)
\(744\) 11.5796 7.19780i 0.424528 0.263884i
\(745\) 46.0742 26.6009i 1.68803 0.974583i
\(746\) −9.65509 28.7245i −0.353498 1.05168i
\(747\) −0.420353 + 8.77156i −0.0153799 + 0.320935i
\(748\) −4.61397 + 33.4991i −0.168703 + 1.22485i
\(749\) −11.4187 3.05964i −0.417231 0.111797i
\(750\) 7.11801 1.21761i 0.259913 0.0444607i
\(751\) 2.44188 4.22946i 0.0891056 0.154335i −0.818028 0.575179i \(-0.804932\pi\)
0.907133 + 0.420843i \(0.138266\pi\)
\(752\) −10.3119 10.5613i −0.376036 0.385129i
\(753\) 40.6869 4.36842i 1.48271 0.159194i
\(754\) −24.2872 + 1.51903i −0.884487 + 0.0553199i
\(755\) 11.0302 11.0302i 0.401429 0.401429i
\(756\) −12.3315 + 2.29493i −0.448492 + 0.0834657i
\(757\) −20.1502 20.1502i −0.732371 0.732371i 0.238718 0.971089i \(-0.423273\pi\)
−0.971089 + 0.238718i \(0.923273\pi\)
\(758\) 0.0559975 0.0634695i 0.00203392 0.00230532i
\(759\) 4.07772 + 37.9794i 0.148012 + 1.37857i
\(760\) −21.2769 7.43579i −0.771794 0.269724i
\(761\) 16.9178 + 9.76748i 0.613268 + 0.354071i 0.774244 0.632888i \(-0.218131\pi\)
−0.160975 + 0.986958i \(0.551464\pi\)
\(762\) −23.4089 16.5701i −0.848014 0.600271i
\(763\) 2.36923 8.84210i 0.0857720 0.320105i
\(764\) −5.44665 7.18669i −0.197053 0.260005i
\(765\) 13.2197 + 25.6606i 0.477958 + 0.927760i
\(766\) 17.3187 + 8.60502i 0.625749 + 0.310912i
\(767\) 12.7944 + 22.1606i 0.461980 + 0.800172i
\(768\) 4.92692 27.2713i 0.177785 0.984069i
\(769\) −14.3355 + 24.8299i −0.516952 + 0.895388i 0.482854 + 0.875701i \(0.339600\pi\)
−0.999806 + 0.0196866i \(0.993733\pi\)
\(770\) −22.5357 + 14.9607i −0.812130 + 0.539147i
\(771\) −9.07747 23.4904i −0.326917 0.845986i
\(772\) −14.9783 + 35.5585i −0.539080 + 1.27978i
\(773\) −33.6600 33.6600i