Properties

Label 91.2.ba.a.54.4
Level $91$
Weight $2$
Character 91.54
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 54.4
Character \(\chi\) \(=\) 91.54
Dual form 91.2.ba.a.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.347096 + 0.347096i) q^{2} +(-2.11812 - 1.22290i) q^{3} +1.75905i q^{4} +(-3.47544 + 0.931242i) q^{5} +(1.15965 - 0.310728i) q^{6} +(0.701045 + 2.55118i) q^{7} +(-1.30475 - 1.30475i) q^{8} +(1.49096 + 2.58241i) q^{9} +O(q^{10})\) \(q+(-0.347096 + 0.347096i) q^{2} +(-2.11812 - 1.22290i) q^{3} +1.75905i q^{4} +(-3.47544 + 0.931242i) q^{5} +(1.15965 - 0.310728i) q^{6} +(0.701045 + 2.55118i) q^{7} +(-1.30475 - 1.30475i) q^{8} +(1.49096 + 2.58241i) q^{9} +(0.883082 - 1.52954i) q^{10} +(-2.04371 + 0.547609i) q^{11} +(2.15114 - 3.72588i) q^{12} +(0.582584 - 3.55817i) q^{13} +(-1.12884 - 0.642175i) q^{14} +(8.50022 + 2.27763i) q^{15} -2.61235 q^{16} +1.14424 q^{17} +(-1.41385 - 0.378840i) q^{18} +(-1.18001 + 4.40387i) q^{19} +(-1.63810 - 6.11348i) q^{20} +(1.63494 - 6.26102i) q^{21} +(0.519289 - 0.899435i) q^{22} +1.48235i q^{23} +(1.16804 + 4.35920i) q^{24} +(6.88137 - 3.97296i) q^{25} +(1.03281 + 1.43724i) q^{26} +0.0442386i q^{27} +(-4.48766 + 1.23317i) q^{28} +(2.75801 + 4.77701i) q^{29} +(-3.74095 + 2.15984i) q^{30} +(-1.56920 + 5.85632i) q^{31} +(3.51624 - 3.51624i) q^{32} +(4.99849 + 1.33934i) q^{33} +(-0.397162 + 0.397162i) q^{34} +(-4.81221 - 8.21365i) q^{35} +(-4.54259 + 2.62266i) q^{36} +(-1.91256 - 1.91256i) q^{37} +(-1.11899 - 1.93814i) q^{38} +(-5.58526 + 6.82420i) q^{39} +(5.74963 + 3.31955i) q^{40} +(-1.21867 + 4.54813i) q^{41} +(1.60569 + 2.74065i) q^{42} +(-4.55704 - 2.63101i) q^{43} +(-0.963272 - 3.59498i) q^{44} +(-7.58659 - 7.58659i) q^{45} +(-0.514518 - 0.514518i) q^{46} +(-1.74658 - 6.51834i) q^{47} +(5.53327 + 3.19464i) q^{48} +(-6.01707 + 3.57699i) q^{49} +(-1.00950 + 3.76750i) q^{50} +(-2.42364 - 1.39929i) q^{51} +(6.25900 + 1.02479i) q^{52} +(-1.74389 - 3.02051i) q^{53} +(-0.0153550 - 0.0153550i) q^{54} +(6.59283 - 3.80637i) q^{55} +(2.41397 - 4.24335i) q^{56} +(7.88489 - 7.88489i) q^{57} +(-2.61537 - 0.700787i) q^{58} +(-8.08143 + 8.08143i) q^{59} +(-4.00646 + 14.9523i) q^{60} +(8.20082 - 4.73474i) q^{61} +(-1.48804 - 2.57737i) q^{62} +(-5.54298 + 5.61409i) q^{63} -2.78376i q^{64} +(1.28878 + 12.9088i) q^{65} +(-2.19983 + 1.27007i) q^{66} +(1.99321 + 7.43875i) q^{67} +2.01278i q^{68} +(1.81276 - 3.13980i) q^{69} +(4.52123 + 1.18063i) q^{70} +(1.74779 + 6.52285i) q^{71} +(1.42408 - 5.31473i) q^{72} +(5.46953 + 1.46556i) q^{73} +1.32768 q^{74} -19.4341 q^{75} +(-7.74662 - 2.07570i) q^{76} +(-2.82978 - 4.82997i) q^{77} +(-0.430029 - 4.30727i) q^{78} +(5.91160 - 10.2392i) q^{79} +(9.07908 - 2.43273i) q^{80} +(4.52697 - 7.84094i) q^{81} +(-1.15564 - 2.00163i) q^{82} +(5.06789 + 5.06789i) q^{83} +(11.0134 + 2.87593i) q^{84} +(-3.97675 + 1.06557i) q^{85} +(2.49494 - 0.668517i) q^{86} -13.4910i q^{87} +(3.38102 + 1.95203i) q^{88} +(7.05000 - 7.05000i) q^{89} +5.26655 q^{90} +(9.48597 - 1.00816i) q^{91} -2.60753 q^{92} +(10.4854 - 10.4854i) q^{93} +(2.86872 + 1.65626i) q^{94} -16.4043i q^{95} +(-11.7478 + 3.14782i) q^{96} +(-13.1665 + 3.52795i) q^{97} +(0.846943 - 3.33006i) q^{98} +(-4.46123 - 4.46123i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.347096 + 0.347096i −0.245434 + 0.245434i −0.819094 0.573660i \(-0.805523\pi\)
0.573660 + 0.819094i \(0.305523\pi\)
\(3\) −2.11812 1.22290i −1.22290 0.706040i −0.257363 0.966315i \(-0.582854\pi\)
−0.965535 + 0.260275i \(0.916187\pi\)
\(4\) 1.75905i 0.879524i
\(5\) −3.47544 + 0.931242i −1.55427 + 0.416464i −0.930843 0.365420i \(-0.880925\pi\)
−0.623423 + 0.781885i \(0.714259\pi\)
\(6\) 1.15965 0.310728i 0.473427 0.126854i
\(7\) 0.701045 + 2.55118i 0.264970 + 0.964257i
\(8\) −1.30475 1.30475i −0.461299 0.461299i
\(9\) 1.49096 + 2.58241i 0.496985 + 0.860804i
\(10\) 0.883082 1.52954i 0.279255 0.483684i
\(11\) −2.04371 + 0.547609i −0.616201 + 0.165110i −0.553400 0.832916i \(-0.686670\pi\)
−0.0628007 + 0.998026i \(0.520003\pi\)
\(12\) 2.15114 3.72588i 0.620980 1.07557i
\(13\) 0.582584 3.55817i 0.161580 0.986860i
\(14\) −1.12884 0.642175i −0.301694 0.171629i
\(15\) 8.50022 + 2.27763i 2.19475 + 0.588081i
\(16\) −2.61235 −0.653088
\(17\) 1.14424 0.277519 0.138760 0.990326i \(-0.455688\pi\)
0.138760 + 0.990326i \(0.455688\pi\)
\(18\) −1.41385 0.378840i −0.333248 0.0892934i
\(19\) −1.18001 + 4.40387i −0.270713 + 1.01032i 0.687946 + 0.725762i \(0.258512\pi\)
−0.958660 + 0.284555i \(0.908154\pi\)
\(20\) −1.63810 6.11348i −0.366291 1.36701i
\(21\) 1.63494 6.26102i 0.356773 1.36627i
\(22\) 0.519289 0.899435i 0.110713 0.191760i
\(23\) 1.48235i 0.309092i 0.987986 + 0.154546i \(0.0493914\pi\)
−0.987986 + 0.154546i \(0.950609\pi\)
\(24\) 1.16804 + 4.35920i 0.238426 + 0.889817i
\(25\) 6.88137 3.97296i 1.37627 0.794593i
\(26\) 1.03281 + 1.43724i 0.202552 + 0.281866i
\(27\) 0.0442386i 0.00851372i
\(28\) −4.48766 + 1.23317i −0.848087 + 0.233048i
\(29\) 2.75801 + 4.77701i 0.512149 + 0.887068i 0.999901 + 0.0140858i \(0.00448381\pi\)
−0.487752 + 0.872982i \(0.662183\pi\)
\(30\) −3.74095 + 2.15984i −0.683001 + 0.394331i
\(31\) −1.56920 + 5.85632i −0.281836 + 1.05183i 0.669285 + 0.743006i \(0.266601\pi\)
−0.951121 + 0.308820i \(0.900066\pi\)
\(32\) 3.51624 3.51624i 0.621589 0.621589i
\(33\) 4.99849 + 1.33934i 0.870125 + 0.233149i
\(34\) −0.397162 + 0.397162i −0.0681127 + 0.0681127i
\(35\) −4.81221 8.21365i −0.813413 1.38836i
\(36\) −4.54259 + 2.62266i −0.757098 + 0.437111i
\(37\) −1.91256 1.91256i −0.314422 0.314422i 0.532198 0.846620i \(-0.321366\pi\)
−0.846620 + 0.532198i \(0.821366\pi\)
\(38\) −1.11899 1.93814i −0.181524 0.314408i
\(39\) −5.58526 + 6.82420i −0.894358 + 1.09275i
\(40\) 5.74963 + 3.31955i 0.909096 + 0.524867i
\(41\) −1.21867 + 4.54813i −0.190324 + 0.710299i 0.803104 + 0.595839i \(0.203180\pi\)
−0.993428 + 0.114460i \(0.963486\pi\)
\(42\) 1.60569 + 2.74065i 0.247764 + 0.422892i
\(43\) −4.55704 2.63101i −0.694942 0.401225i 0.110519 0.993874i \(-0.464749\pi\)
−0.805461 + 0.592649i \(0.798082\pi\)
\(44\) −0.963272 3.59498i −0.145219 0.541964i
\(45\) −7.58659 7.58659i −1.13094 1.13094i
\(46\) −0.514518 0.514518i −0.0758615 0.0758615i
\(47\) −1.74658 6.51834i −0.254765 0.950797i −0.968221 0.250097i \(-0.919538\pi\)
0.713456 0.700700i \(-0.247129\pi\)
\(48\) 5.53327 + 3.19464i 0.798659 + 0.461106i
\(49\) −6.01707 + 3.57699i −0.859582 + 0.510998i
\(50\) −1.00950 + 3.76750i −0.142765 + 0.532804i
\(51\) −2.42364 1.39929i −0.339378 0.195940i
\(52\) 6.25900 + 1.02479i 0.867967 + 0.142113i
\(53\) −1.74389 3.02051i −0.239542 0.414899i 0.721041 0.692892i \(-0.243664\pi\)
−0.960583 + 0.277994i \(0.910331\pi\)
\(54\) −0.0153550 0.0153550i −0.00208955 0.00208955i
\(55\) 6.59283 3.80637i 0.888977 0.513251i
\(56\) 2.41397 4.24335i 0.322580 0.567041i
\(57\) 7.88489 7.88489i 1.04438 1.04438i
\(58\) −2.61537 0.700787i −0.343415 0.0920179i
\(59\) −8.08143 + 8.08143i −1.05211 + 1.05211i −0.0535478 + 0.998565i \(0.517053\pi\)
−0.998565 + 0.0535478i \(0.982947\pi\)
\(60\) −4.00646 + 14.9523i −0.517232 + 1.93033i
\(61\) 8.20082 4.73474i 1.05001 0.606222i 0.127356 0.991857i \(-0.459351\pi\)
0.922651 + 0.385635i \(0.126018\pi\)
\(62\) −1.48804 2.57737i −0.188982 0.327326i
\(63\) −5.54298 + 5.61409i −0.698350 + 0.707309i
\(64\) 2.78376i 0.347970i
\(65\) 1.28878 + 12.9088i 0.159854 + 1.60113i
\(66\) −2.19983 + 1.27007i −0.270781 + 0.156335i
\(67\) 1.99321 + 7.43875i 0.243509 + 0.908788i 0.974127 + 0.226001i \(0.0725654\pi\)
−0.730618 + 0.682786i \(0.760768\pi\)
\(68\) 2.01278i 0.244085i
\(69\) 1.81276 3.13980i 0.218231 0.377987i
\(70\) 4.52123 + 1.18063i 0.540390 + 0.141112i
\(71\) 1.74779 + 6.52285i 0.207425 + 0.774120i 0.988697 + 0.149929i \(0.0479045\pi\)
−0.781272 + 0.624191i \(0.785429\pi\)
\(72\) 1.42408 5.31473i 0.167829 0.626347i
\(73\) 5.46953 + 1.46556i 0.640161 + 0.171531i 0.564276 0.825586i \(-0.309155\pi\)
0.0758844 + 0.997117i \(0.475822\pi\)
\(74\) 1.32768 0.154340
\(75\) −19.4341 −2.24406
\(76\) −7.74662 2.07570i −0.888598 0.238099i
\(77\) −2.82978 4.82997i −0.322484 0.550426i
\(78\) −0.430029 4.30727i −0.0486912 0.487703i
\(79\) 5.91160 10.2392i 0.665107 1.15200i −0.314149 0.949374i \(-0.601719\pi\)
0.979256 0.202626i \(-0.0649475\pi\)
\(80\) 9.07908 2.43273i 1.01507 0.271988i
\(81\) 4.52697 7.84094i 0.502996 0.871215i
\(82\) −1.15564 2.00163i −0.127619 0.221043i
\(83\) 5.06789 + 5.06789i 0.556274 + 0.556274i 0.928244 0.371971i \(-0.121318\pi\)
−0.371971 + 0.928244i \(0.621318\pi\)
\(84\) 11.0134 + 2.87593i 1.20166 + 0.313790i
\(85\) −3.97675 + 1.06557i −0.431339 + 0.115577i
\(86\) 2.49494 0.668517i 0.269036 0.0720881i
\(87\) 13.4910i 1.44639i
\(88\) 3.38102 + 1.95203i 0.360418 + 0.208087i
\(89\) 7.05000 7.05000i 0.747299 0.747299i −0.226672 0.973971i \(-0.572785\pi\)
0.973971 + 0.226672i \(0.0727847\pi\)
\(90\) 5.26655 0.555143
\(91\) 9.48597 1.00816i 0.994400 0.105684i
\(92\) −2.60753 −0.271854
\(93\) 10.4854 10.4854i 1.08729 1.08729i
\(94\) 2.86872 + 1.65626i 0.295886 + 0.170830i
\(95\) 16.4043i 1.68304i
\(96\) −11.7478 + 3.14782i −1.19901 + 0.321273i
\(97\) −13.1665 + 3.52795i −1.33685 + 0.358209i −0.855266 0.518190i \(-0.826606\pi\)
−0.481587 + 0.876398i \(0.659939\pi\)
\(98\) 0.846943 3.33006i 0.0855541 0.336387i
\(99\) −4.46123 4.46123i −0.448370 0.448370i
\(100\) 6.98864 + 12.1047i 0.698864 + 1.21047i
\(101\) 4.87153 8.43773i 0.484735 0.839586i −0.515111 0.857123i \(-0.672249\pi\)
0.999846 + 0.0175378i \(0.00558274\pi\)
\(102\) 1.32692 0.355548i 0.131385 0.0352045i
\(103\) −6.18363 + 10.7104i −0.609291 + 1.05532i 0.382067 + 0.924135i \(0.375213\pi\)
−0.991357 + 0.131188i \(0.958121\pi\)
\(104\) −5.40266 + 3.88240i −0.529774 + 0.380701i
\(105\) 0.148393 + 23.2823i 0.0144817 + 2.27212i
\(106\) 1.65370 + 0.443108i 0.160622 + 0.0430385i
\(107\) −8.18718 −0.791484 −0.395742 0.918362i \(-0.629513\pi\)
−0.395742 + 0.918362i \(0.629513\pi\)
\(108\) −0.0778178 −0.00748802
\(109\) −2.87825 0.771224i −0.275686 0.0738699i 0.118327 0.992975i \(-0.462247\pi\)
−0.394013 + 0.919105i \(0.628914\pi\)
\(110\) −0.967168 + 3.60952i −0.0922159 + 0.344154i
\(111\) 1.71217 + 6.38989i 0.162512 + 0.606501i
\(112\) −1.83138 6.66458i −0.173049 0.629744i
\(113\) −8.19898 + 14.2011i −0.771295 + 1.33592i 0.165558 + 0.986200i \(0.447057\pi\)
−0.936853 + 0.349723i \(0.886276\pi\)
\(114\) 5.47362i 0.512652i
\(115\) −1.38043 5.15183i −0.128726 0.480410i
\(116\) −8.40299 + 4.85147i −0.780198 + 0.450448i
\(117\) 10.0573 3.80061i 0.929796 0.351366i
\(118\) 5.61007i 0.516448i
\(119\) 0.802165 + 2.91917i 0.0735343 + 0.267600i
\(120\) −8.11894 14.0624i −0.741154 1.28372i
\(121\) −5.64942 + 3.26169i −0.513584 + 0.296518i
\(122\) −1.20306 + 4.48988i −0.108920 + 0.406495i
\(123\) 8.14318 8.14318i 0.734246 0.734246i
\(124\) −10.3016 2.76029i −0.925107 0.247882i
\(125\) −7.49503 + 7.49503i −0.670376 + 0.670376i
\(126\) −0.0246824 3.87257i −0.00219888 0.344996i
\(127\) 7.41767 4.28259i 0.658212 0.380019i −0.133384 0.991064i \(-0.542584\pi\)
0.791595 + 0.611046i \(0.209251\pi\)
\(128\) 7.99871 + 7.99871i 0.706992 + 0.706992i
\(129\) 6.43490 + 11.1456i 0.566561 + 0.981313i
\(130\) −4.92791 4.03325i −0.432206 0.353739i
\(131\) 12.7190 + 7.34330i 1.11126 + 0.641587i 0.939156 0.343491i \(-0.111610\pi\)
0.172106 + 0.985078i \(0.444943\pi\)
\(132\) −2.35597 + 8.79258i −0.205060 + 0.765296i
\(133\) −12.0623 + 0.0768809i −1.04594 + 0.00666642i
\(134\) −3.27379 1.89013i −0.282813 0.163282i
\(135\) −0.0411968 0.153749i −0.00354566 0.0132326i
\(136\) −1.49295 1.49295i −0.128019 0.128019i
\(137\) 1.60893 + 1.60893i 0.137460 + 0.137460i 0.772489 0.635028i \(-0.219012\pi\)
−0.635028 + 0.772489i \(0.719012\pi\)
\(138\) 0.460608 + 1.71901i 0.0392096 + 0.146332i
\(139\) −4.23236 2.44355i −0.358984 0.207259i 0.309651 0.950850i \(-0.399788\pi\)
−0.668635 + 0.743591i \(0.733121\pi\)
\(140\) 14.4482 8.46492i 1.22110 0.715416i
\(141\) −4.27178 + 15.9425i −0.359749 + 1.34260i
\(142\) −2.87071 1.65740i −0.240904 0.139086i
\(143\) 0.757858 + 7.59089i 0.0633753 + 0.634782i
\(144\) −3.89490 6.74616i −0.324575 0.562180i
\(145\) −14.0339 14.0339i −1.16545 1.16545i
\(146\) −2.40714 + 1.38976i −0.199217 + 0.115018i
\(147\) 17.1192 0.218232i 1.41197 0.0179995i
\(148\) 3.36428 3.36428i 0.276542 0.276542i
\(149\) −2.67644 0.717149i −0.219262 0.0587512i 0.147515 0.989060i \(-0.452872\pi\)
−0.366778 + 0.930309i \(0.619539\pi\)
\(150\) 6.74550 6.74550i 0.550768 0.550768i
\(151\) 1.63414 6.09868i 0.132984 0.496304i −0.867014 0.498284i \(-0.833964\pi\)
0.999998 + 0.00198027i \(0.000630339\pi\)
\(152\) 7.28557 4.20633i 0.590938 0.341178i
\(153\) 1.70601 + 2.95490i 0.137923 + 0.238890i
\(154\) 2.65867 + 0.694257i 0.214242 + 0.0559448i
\(155\) 21.8146i 1.75219i
\(156\) −12.0041 9.82475i −0.961097 0.786610i
\(157\) −1.65313 + 0.954436i −0.131934 + 0.0761723i −0.564514 0.825423i \(-0.690937\pi\)
0.432580 + 0.901595i \(0.357603\pi\)
\(158\) 1.50209 + 5.60588i 0.119500 + 0.445980i
\(159\) 8.53040i 0.676505i
\(160\) −8.94602 + 15.4950i −0.707245 + 1.22498i
\(161\) −3.78175 + 1.03919i −0.298044 + 0.0819000i
\(162\) 1.15027 + 4.29285i 0.0903734 + 0.337278i
\(163\) 1.59773 5.96280i 0.125144 0.467043i −0.874701 0.484663i \(-0.838942\pi\)
0.999845 + 0.0176201i \(0.00560895\pi\)
\(164\) −8.00038 2.14370i −0.624725 0.167395i
\(165\) −18.6192 −1.44950
\(166\) −3.51809 −0.273057
\(167\) 2.11863 + 0.567684i 0.163944 + 0.0439287i 0.339857 0.940477i \(-0.389621\pi\)
−0.175913 + 0.984406i \(0.556288\pi\)
\(168\) −10.3023 + 6.03588i −0.794836 + 0.465679i
\(169\) −12.3212 4.14587i −0.947784 0.318913i
\(170\) 1.01046 1.75017i 0.0774987 0.134232i
\(171\) −13.1319 + 3.51869i −1.00422 + 0.269081i
\(172\) 4.62807 8.01605i 0.352887 0.611218i
\(173\) 9.47370 + 16.4089i 0.720272 + 1.24755i 0.960891 + 0.276928i \(0.0893164\pi\)
−0.240618 + 0.970620i \(0.577350\pi\)
\(174\) 4.68269 + 4.68269i 0.354993 + 0.354993i
\(175\) 14.9599 + 14.7704i 1.13086 + 1.11654i
\(176\) 5.33888 1.43055i 0.402433 0.107832i
\(177\) 27.0002 7.23469i 2.02946 0.543792i
\(178\) 4.89405i 0.366825i
\(179\) 10.2742 + 5.93179i 0.767926 + 0.443363i 0.832134 0.554574i \(-0.187119\pi\)
−0.0642080 + 0.997937i \(0.520452\pi\)
\(180\) 13.3452 13.3452i 0.994691 0.994691i
\(181\) 10.2064 0.758635 0.379317 0.925267i \(-0.376159\pi\)
0.379317 + 0.925267i \(0.376159\pi\)
\(182\) −2.94261 + 3.64247i −0.218121 + 0.269998i
\(183\) −23.1604 −1.71207
\(184\) 1.93410 1.93410i 0.142584 0.142584i
\(185\) 8.42804 + 4.86593i 0.619642 + 0.357750i
\(186\) 7.27890i 0.533715i
\(187\) −2.33849 + 0.626598i −0.171008 + 0.0458213i
\(188\) 11.4661 3.07232i 0.836249 0.224072i
\(189\) −0.112861 + 0.0310132i −0.00820941 + 0.00225588i
\(190\) 5.69386 + 5.69386i 0.413076 + 0.413076i
\(191\) 2.98574 + 5.17145i 0.216040 + 0.374193i 0.953594 0.301096i \(-0.0973524\pi\)
−0.737553 + 0.675289i \(0.764019\pi\)
\(192\) −3.40425 + 5.89633i −0.245681 + 0.425531i
\(193\) 0.969416 0.259754i 0.0697801 0.0186975i −0.223760 0.974644i \(-0.571833\pi\)
0.293540 + 0.955947i \(0.405167\pi\)
\(194\) 3.34549 5.79456i 0.240192 0.416025i
\(195\) 13.0563 28.9184i 0.934981 2.07089i
\(196\) −6.29210 10.5843i −0.449436 0.756023i
\(197\) −4.08621 1.09490i −0.291130 0.0780081i 0.110298 0.993899i \(-0.464819\pi\)
−0.401428 + 0.915890i \(0.631486\pi\)
\(198\) 3.09695 0.220091
\(199\) −15.0541 −1.06716 −0.533579 0.845750i \(-0.679153\pi\)
−0.533579 + 0.845750i \(0.679153\pi\)
\(200\) −14.1622 3.79475i −1.00142 0.268329i
\(201\) 4.87498 18.1937i 0.343854 1.28328i
\(202\) 1.23782 + 4.61959i 0.0870924 + 0.325033i
\(203\) −10.2535 + 10.3851i −0.719657 + 0.728890i
\(204\) 2.46142 4.26330i 0.172334 0.298491i
\(205\) 16.9416i 1.18326i
\(206\) −1.57121 5.86383i −0.109471 0.408553i
\(207\) −3.82804 + 2.21012i −0.266067 + 0.153614i
\(208\) −1.52191 + 9.29519i −0.105526 + 0.644506i
\(209\) 9.64640i 0.667255i
\(210\) −8.13272 8.02970i −0.561211 0.554102i
\(211\) 12.3556 + 21.4005i 0.850592 + 1.47327i 0.880675 + 0.473721i \(0.157089\pi\)
−0.0300832 + 0.999547i \(0.509577\pi\)
\(212\) 5.31322 3.06759i 0.364913 0.210683i
\(213\) 4.27474 15.9536i 0.292900 1.09312i
\(214\) 2.84174 2.84174i 0.194257 0.194257i
\(215\) 18.2878 + 4.90021i 1.24722 + 0.334192i
\(216\) 0.0577203 0.0577203i 0.00392737 0.00392737i
\(217\) −16.0406 + 0.102237i −1.08891 + 0.00694031i
\(218\) 1.26672 0.731339i 0.0857929 0.0495325i
\(219\) −9.79291 9.79291i −0.661743 0.661743i
\(220\) 6.69560 + 11.5971i 0.451417 + 0.781877i
\(221\) 0.666617 4.07141i 0.0448415 0.273873i
\(222\) −2.81219 1.62362i −0.188742 0.108970i
\(223\) 0.193376 0.721689i 0.0129494 0.0483279i −0.959149 0.282902i \(-0.908703\pi\)
0.972098 + 0.234574i \(0.0753696\pi\)
\(224\) 11.4356 + 6.50553i 0.764074 + 0.434669i
\(225\) 20.5197 + 11.8470i 1.36798 + 0.789802i
\(226\) −2.08329 7.77496i −0.138579 0.517183i
\(227\) −7.33399 7.33399i −0.486774 0.486774i 0.420513 0.907287i \(-0.361850\pi\)
−0.907287 + 0.420513i \(0.861850\pi\)
\(228\) 13.8699 + 13.8699i 0.918556 + 0.918556i
\(229\) 0.444567 + 1.65915i 0.0293778 + 0.109639i 0.979058 0.203582i \(-0.0652584\pi\)
−0.949680 + 0.313222i \(0.898592\pi\)
\(230\) 2.26732 + 1.30904i 0.149503 + 0.0863154i
\(231\) 0.0872615 + 13.6910i 0.00574139 + 0.900801i
\(232\) 2.63429 9.83132i 0.172950 0.645458i
\(233\) 7.19720 + 4.15531i 0.471504 + 0.272223i 0.716869 0.697208i \(-0.245574\pi\)
−0.245365 + 0.969431i \(0.578908\pi\)
\(234\) −2.17166 + 4.81002i −0.141966 + 0.314441i
\(235\) 12.1403 + 21.0276i 0.791946 + 1.37169i
\(236\) −14.2156 14.2156i −0.925359 0.925359i
\(237\) −25.0430 + 14.4586i −1.62672 + 0.939185i
\(238\) −1.29166 0.734804i −0.0837259 0.0476303i
\(239\) 5.13978 5.13978i 0.332465 0.332465i −0.521057 0.853522i \(-0.674462\pi\)
0.853522 + 0.521057i \(0.174462\pi\)
\(240\) −22.2056 5.94996i −1.43336 0.384068i
\(241\) 5.48024 5.48024i 0.353013 0.353013i −0.508216 0.861229i \(-0.669695\pi\)
0.861229 + 0.508216i \(0.169695\pi\)
\(242\) 0.828770 3.09301i 0.0532753 0.198826i
\(243\) −19.0624 + 11.0057i −1.22285 + 0.706014i
\(244\) 8.32864 + 14.4256i 0.533187 + 0.923507i
\(245\) 17.5810 18.0350i 1.12321 1.15221i
\(246\) 5.65293i 0.360418i
\(247\) 14.9823 + 6.76431i 0.953299 + 0.430403i
\(248\) 9.68845 5.59363i 0.615217 0.355196i
\(249\) −4.53689 16.9319i −0.287514 1.07302i
\(250\) 5.20299i 0.329066i
\(251\) −1.76122 + 3.05052i −0.111167 + 0.192547i −0.916241 0.400627i \(-0.868792\pi\)
0.805074 + 0.593174i \(0.202126\pi\)
\(252\) −9.87546 9.75037i −0.622095 0.614216i
\(253\) −0.811749 3.02949i −0.0510343 0.190462i
\(254\) −1.08817 + 4.06111i −0.0682780 + 0.254817i
\(255\) 9.72631 + 2.60616i 0.609085 + 0.163204i
\(256\) 0.0148769 0.000929806
\(257\) 10.8515 0.676896 0.338448 0.940985i \(-0.390098\pi\)
0.338448 + 0.940985i \(0.390098\pi\)
\(258\) −6.10211 1.63506i −0.379901 0.101794i
\(259\) 3.53850 6.22007i 0.219871 0.386497i
\(260\) −22.7071 + 2.26703i −1.40824 + 0.140595i
\(261\) −8.22414 + 14.2446i −0.509061 + 0.881720i
\(262\) −6.96354 + 1.86587i −0.430209 + 0.115274i
\(263\) 2.34957 4.06957i 0.144881 0.250940i −0.784448 0.620195i \(-0.787054\pi\)
0.929328 + 0.369254i \(0.120387\pi\)
\(264\) −4.77427 8.26928i −0.293836 0.508939i
\(265\) 8.87362 + 8.87362i 0.545102 + 0.545102i
\(266\) 4.16009 4.21346i 0.255072 0.258344i
\(267\) −23.5542 + 6.31132i −1.44149 + 0.386247i
\(268\) −13.0851 + 3.50615i −0.799301 + 0.214172i
\(269\) 25.7108i 1.56762i 0.621002 + 0.783809i \(0.286726\pi\)
−0.621002 + 0.783809i \(0.713274\pi\)
\(270\) 0.0676648 + 0.0390663i 0.00411795 + 0.00237750i
\(271\) 0.937761 0.937761i 0.0569650 0.0569650i −0.678050 0.735015i \(-0.737175\pi\)
0.735015 + 0.678050i \(0.237175\pi\)
\(272\) −2.98916 −0.181244
\(273\) −21.3253 9.46496i −1.29067 0.572846i
\(274\) −1.11691 −0.0674749
\(275\) −11.8879 + 11.8879i −0.716866 + 0.716866i
\(276\) 5.52306 + 3.18874i 0.332449 + 0.191940i
\(277\) 0.181365i 0.0108972i −0.999985 0.00544859i \(-0.998266\pi\)
0.999985 0.00544859i \(-0.00173435\pi\)
\(278\) 2.31718 0.620887i 0.138975 0.0372383i
\(279\) −17.4630 + 4.67921i −1.04548 + 0.280137i
\(280\) −4.43803 + 16.9955i −0.265223 + 1.01568i
\(281\) 5.50563 + 5.50563i 0.328439 + 0.328439i 0.851993 0.523554i \(-0.175394\pi\)
−0.523554 + 0.851993i \(0.675394\pi\)
\(282\) −4.05086 7.01630i −0.241225 0.417815i
\(283\) −3.65425 + 6.32935i −0.217223 + 0.376241i −0.953958 0.299941i \(-0.903033\pi\)
0.736735 + 0.676181i \(0.236366\pi\)
\(284\) −11.4740 + 3.07445i −0.680857 + 0.182435i
\(285\) −20.0607 + 34.7462i −1.18830 + 2.05819i
\(286\) −2.89782 2.37172i −0.171351 0.140243i
\(287\) −12.4575 + 0.0793994i −0.735340 + 0.00468680i
\(288\) 14.3229 + 3.83782i 0.843987 + 0.226146i
\(289\) −15.6907 −0.922983
\(290\) 9.74219 0.572081
\(291\) 32.2025 + 8.62863i 1.88774 + 0.505819i
\(292\) −2.57799 + 9.62118i −0.150865 + 0.563037i
\(293\) −8.30804 31.0060i −0.485361 1.81139i −0.578431 0.815731i \(-0.696335\pi\)
0.0930708 0.995659i \(-0.470332\pi\)
\(294\) −5.86625 + 6.01774i −0.342127 + 0.350962i
\(295\) 20.5608 35.6123i 1.19710 2.07343i
\(296\) 4.99082i 0.290086i
\(297\) −0.0242255 0.0904107i −0.00140570 0.00524616i
\(298\) 1.17790 0.680061i 0.0682339 0.0393949i
\(299\) 5.27446 + 0.863594i 0.305030 + 0.0499430i
\(300\) 34.1855i 1.97370i
\(301\) 3.51749 13.4703i 0.202745 0.776415i
\(302\) 1.54963 + 2.68403i 0.0891709 + 0.154449i
\(303\) −20.6370 + 11.9148i −1.18556 + 0.684485i
\(304\) 3.08261 11.5044i 0.176800 0.659825i
\(305\) −24.0923 + 24.0923i −1.37952 + 1.37952i
\(306\) −1.61779 0.433484i −0.0924826 0.0247806i
\(307\) 9.65602 9.65602i 0.551098 0.551098i −0.375659 0.926758i \(-0.622584\pi\)
0.926758 + 0.375659i \(0.122584\pi\)
\(308\) 8.49615 4.97773i 0.484113 0.283632i
\(309\) 26.1953 15.1239i 1.49020 0.860368i
\(310\) 7.57176 + 7.57176i 0.430047 + 0.430047i
\(311\) −8.29369 14.3651i −0.470292 0.814570i 0.529131 0.848540i \(-0.322518\pi\)
−0.999423 + 0.0339706i \(0.989185\pi\)
\(312\) 16.1913 1.61650i 0.916649 0.0915163i
\(313\) −8.06261 4.65495i −0.455725 0.263113i 0.254520 0.967068i \(-0.418083\pi\)
−0.710245 + 0.703954i \(0.751416\pi\)
\(314\) 0.242514 0.905076i 0.0136859 0.0510764i
\(315\) 14.0362 24.6733i 0.790852 1.39018i
\(316\) 18.0112 + 10.3988i 1.01321 + 0.584978i
\(317\) 8.57788 + 32.0131i 0.481782 + 1.79803i 0.594135 + 0.804365i \(0.297495\pi\)
−0.112353 + 0.993668i \(0.535839\pi\)
\(318\) −2.96087 2.96087i −0.166037 0.166037i
\(319\) −8.25249 8.25249i −0.462051 0.462051i
\(320\) 2.59235 + 9.67479i 0.144917 + 0.540837i
\(321\) 17.3414 + 10.0121i 0.967904 + 0.558820i
\(322\) 0.951929 1.67333i 0.0530490 0.0932510i
\(323\) −1.35022 + 5.03909i −0.0751282 + 0.280382i
\(324\) 13.7926 + 7.96316i 0.766255 + 0.442398i
\(325\) −10.1275 26.7997i −0.561773 1.48658i
\(326\) 1.51510 + 2.62423i 0.0839136 + 0.145343i
\(327\) 5.15335 + 5.15335i 0.284981 + 0.284981i
\(328\) 7.52423 4.34412i 0.415456 0.239864i
\(329\) 15.4050 9.02550i 0.849307 0.497592i
\(330\) 6.46265 6.46265i 0.355757 0.355757i
\(331\) 22.7451 + 6.09453i 1.25018 + 0.334985i 0.822407 0.568900i \(-0.192631\pi\)
0.427776 + 0.903885i \(0.359297\pi\)
\(332\) −8.91467 + 8.91467i −0.489256 + 0.489256i
\(333\) 2.08747 7.79055i 0.114393 0.426920i
\(334\) −0.932407 + 0.538326i −0.0510191 + 0.0294559i
\(335\) −13.8546 23.9968i −0.756955 1.31109i
\(336\) −4.27103 + 16.3560i −0.233004 + 0.892292i
\(337\) 24.5958i 1.33982i 0.742442 + 0.669911i \(0.233668\pi\)
−0.742442 + 0.669911i \(0.766332\pi\)
\(338\) 5.71565 2.83762i 0.310890 0.154346i
\(339\) 34.7329 20.0530i 1.88643 1.08913i
\(340\) −1.87438 6.99529i −0.101653 0.379373i
\(341\) 12.8279i 0.694670i
\(342\) 3.33672 5.77937i 0.180429 0.312512i
\(343\) −13.3438 12.8430i −0.720497 0.693458i
\(344\) 2.51299 + 9.37860i 0.135491 + 0.505660i
\(345\) −3.37624 + 12.6003i −0.181771 + 0.678378i
\(346\) −8.98376 2.40719i −0.482970 0.129411i
\(347\) −33.3591 −1.79081 −0.895406 0.445251i \(-0.853115\pi\)
−0.895406 + 0.445251i \(0.853115\pi\)
\(348\) 23.7314 1.27214
\(349\) 5.28189 + 1.41528i 0.282733 + 0.0757580i 0.397399 0.917646i \(-0.369913\pi\)
−0.114666 + 0.993404i \(0.536580\pi\)
\(350\) −10.3193 + 0.0657714i −0.551589 + 0.00351563i
\(351\) 0.157409 + 0.0257727i 0.00840184 + 0.00137564i
\(352\) −5.26063 + 9.11168i −0.280393 + 0.485654i
\(353\) 4.26881 1.14383i 0.227206 0.0608797i −0.143420 0.989662i \(-0.545810\pi\)
0.370626 + 0.928782i \(0.379143\pi\)
\(354\) −6.86054 + 11.8828i −0.364633 + 0.631563i
\(355\) −12.1487 21.0422i −0.644787 1.11680i
\(356\) 12.4013 + 12.4013i 0.657267 + 0.657267i
\(357\) 1.87076 7.16412i 0.0990113 0.379165i
\(358\) −5.62502 + 1.50722i −0.297291 + 0.0796590i
\(359\) −26.8237 + 7.18738i −1.41570 + 0.379335i −0.883956 0.467570i \(-0.845129\pi\)
−0.531743 + 0.846906i \(0.678463\pi\)
\(360\) 19.7972i 1.04340i
\(361\) −1.54713 0.893234i −0.0814278 0.0470123i
\(362\) −3.54260 + 3.54260i −0.186195 + 0.186195i
\(363\) 15.9549 0.837413
\(364\) 1.77340 + 16.6863i 0.0929516 + 0.874599i
\(365\) −20.3739 −1.06642
\(366\) 8.03889 8.03889i 0.420199 0.420199i
\(367\) −14.5923 8.42486i −0.761711 0.439774i 0.0681985 0.997672i \(-0.478275\pi\)
−0.829910 + 0.557898i \(0.811608\pi\)
\(368\) 3.87242i 0.201864i
\(369\) −13.5621 + 3.63396i −0.706016 + 0.189176i
\(370\) −4.61428 + 1.23639i −0.239885 + 0.0642770i
\(371\) 6.48332 6.56650i 0.336597 0.340915i
\(372\) 18.4444 + 18.4444i 0.956296 + 0.956296i
\(373\) −1.39145 2.41007i −0.0720466 0.124788i 0.827752 0.561095i \(-0.189620\pi\)
−0.899798 + 0.436306i \(0.856286\pi\)
\(374\) 0.594192 1.02917i 0.0307250 0.0532172i
\(375\) 25.0410 6.70972i 1.29311 0.346489i
\(376\) −6.22595 + 10.7837i −0.321079 + 0.556125i
\(377\) 18.6042 7.03046i 0.958165 0.362087i
\(378\) 0.0284089 0.0499381i 0.00146120 0.00256854i
\(379\) 0.734071 + 0.196694i 0.0377067 + 0.0101035i 0.277623 0.960690i \(-0.410453\pi\)
−0.239916 + 0.970794i \(0.577120\pi\)
\(380\) 28.8559 1.48028
\(381\) −20.9487 −1.07323
\(382\) −2.83133 0.758652i −0.144863 0.0388160i
\(383\) 8.14389 30.3934i 0.416134 1.55303i −0.366421 0.930449i \(-0.619417\pi\)
0.782554 0.622582i \(-0.213916\pi\)
\(384\) −7.16063 26.7238i −0.365414 1.36374i
\(385\) 14.3326 + 14.1511i 0.730458 + 0.721206i
\(386\) −0.246321 + 0.426640i −0.0125374 + 0.0217154i
\(387\) 15.6909i 0.797611i
\(388\) −6.20583 23.1605i −0.315053 1.17579i
\(389\) −23.4348 + 13.5301i −1.18819 + 0.686003i −0.957895 0.287118i \(-0.907303\pi\)
−0.230297 + 0.973120i \(0.573970\pi\)
\(390\) 5.50566 + 14.5692i 0.278790 + 0.737742i
\(391\) 1.69617i 0.0857789i
\(392\) 12.5179 + 3.18370i 0.632247 + 0.160801i
\(393\) −17.9602 31.1080i −0.905973 1.56919i
\(394\) 1.79834 1.03827i 0.0905991 0.0523074i
\(395\) −11.0103 + 41.0909i −0.553987 + 2.06751i
\(396\) 7.84752 7.84752i 0.394353 0.394353i
\(397\) 0.220507 + 0.0590847i 0.0110669 + 0.00296537i 0.264348 0.964427i \(-0.414843\pi\)
−0.253281 + 0.967393i \(0.581510\pi\)
\(398\) 5.22522 5.22522i 0.261917 0.261917i
\(399\) 25.6434 + 14.5881i 1.28378 + 0.730320i
\(400\) −17.9766 + 10.3788i −0.898828 + 0.518939i
\(401\) −18.1702 18.1702i −0.907379 0.907379i 0.0886812 0.996060i \(-0.471735\pi\)
−0.996060 + 0.0886812i \(0.971735\pi\)
\(402\) 4.62286 + 8.00703i 0.230567 + 0.399354i
\(403\) 19.9236 + 8.99527i 0.992466 + 0.448086i
\(404\) 14.8424 + 8.56925i 0.738436 + 0.426336i
\(405\) −8.43141 + 31.4664i −0.418960 + 1.56358i
\(406\) −0.0456581 7.16358i −0.00226597 0.355523i
\(407\) 4.95604 + 2.86137i 0.245662 + 0.141833i
\(408\) 1.33652 + 4.98797i 0.0661678 + 0.246941i
\(409\) 21.1061 + 21.1061i 1.04363 + 1.04363i 0.999004 + 0.0446236i \(0.0142088\pi\)
0.0446236 + 0.999004i \(0.485791\pi\)
\(410\) 5.88038 + 5.88038i 0.290411 + 0.290411i
\(411\) −1.44035 5.37547i −0.0710474 0.265153i
\(412\) −18.8400 10.8773i −0.928182 0.535886i
\(413\) −26.2827 14.9518i −1.29329 0.735728i
\(414\) 0.561574 2.09582i 0.0275998 0.103004i
\(415\) −22.3326 12.8937i −1.09627 0.632929i
\(416\) −10.4629 14.5599i −0.512985 0.713857i
\(417\) 5.97643 + 10.3515i 0.292667 + 0.506914i
\(418\) 3.34823 + 3.34823i 0.163767 + 0.163767i
\(419\) 7.72615 4.46069i 0.377447 0.217919i −0.299260 0.954172i \(-0.596740\pi\)
0.676707 + 0.736253i \(0.263406\pi\)
\(420\) −40.9548 + 0.261031i −1.99839 + 0.0127370i
\(421\) 18.1408 18.1408i 0.884130 0.884130i −0.109821 0.993951i \(-0.535028\pi\)
0.993951 + 0.109821i \(0.0350278\pi\)
\(422\) −11.7166 3.13945i −0.570354 0.152826i
\(423\) 14.2290 14.2290i 0.691835 0.691835i
\(424\) −1.66567 + 6.21635i −0.0808919 + 0.301893i
\(425\) 7.87395 4.54603i 0.381943 0.220515i
\(426\) 4.05367 + 7.02116i 0.196401 + 0.340176i
\(427\) 17.8283 + 17.6025i 0.862774 + 0.851845i
\(428\) 14.4016i 0.696130i
\(429\) 7.67765 17.0052i 0.370680 0.821019i
\(430\) −8.04848 + 4.64679i −0.388132 + 0.224088i
\(431\) −3.04559 11.3663i −0.146701 0.547496i −0.999674 0.0255403i \(-0.991869\pi\)
0.852973 0.521955i \(-0.174797\pi\)
\(432\) 0.115567i 0.00556020i
\(433\) 6.26407 10.8497i 0.301032 0.521403i −0.675338 0.737508i \(-0.736002\pi\)
0.976370 + 0.216106i \(0.0693356\pi\)
\(434\) 5.53215 5.60312i 0.265552 0.268958i
\(435\) 12.5634 + 46.8874i 0.602370 + 2.24808i
\(436\) 1.35662 5.06298i 0.0649703 0.242473i
\(437\) −6.52808 1.74919i −0.312280 0.0836752i
\(438\) 6.79816 0.324828
\(439\) 17.7638 0.847819 0.423910 0.905705i \(-0.360657\pi\)
0.423910 + 0.905705i \(0.360657\pi\)
\(440\) −13.5684 3.63563i −0.646847 0.173322i
\(441\) −18.2084 10.2054i −0.867069 0.485973i
\(442\) 1.18179 + 1.64455i 0.0562120 + 0.0782233i
\(443\) 3.34945 5.80142i 0.159137 0.275634i −0.775421 0.631445i \(-0.782462\pi\)
0.934558 + 0.355811i \(0.115795\pi\)
\(444\) −11.2401 + 3.01178i −0.533433 + 0.142933i
\(445\) −17.9366 + 31.0671i −0.850278 + 1.47272i
\(446\) 0.183375 + 0.317615i 0.00868307 + 0.0150395i
\(447\) 4.79202 + 4.79202i 0.226655 + 0.226655i
\(448\) 7.10187 1.95154i 0.335532 0.0922016i
\(449\) 22.8700 6.12801i 1.07930 0.289199i 0.324993 0.945716i \(-0.394638\pi\)
0.754311 + 0.656518i \(0.227971\pi\)
\(450\) −11.2343 + 3.01023i −0.529592 + 0.141904i
\(451\) 9.96240i 0.469111i
\(452\) −24.9803 14.4224i −1.17498 0.678373i
\(453\) −10.9194 + 10.9194i −0.513036 + 0.513036i
\(454\) 5.09120 0.238942
\(455\) −32.0291 + 12.3375i −1.50155 + 0.578393i
\(456\) −20.5756 −0.963542
\(457\) −22.5829 + 22.5829i −1.05638 + 1.05638i −0.0580710 + 0.998312i \(0.518495\pi\)
−0.998312 + 0.0580710i \(0.981505\pi\)
\(458\) −0.730190 0.421575i −0.0341195 0.0196989i
\(459\) 0.0506196i 0.00236272i
\(460\) 9.06232 2.42824i 0.422533 0.113217i
\(461\) −36.7537 + 9.84812i −1.71179 + 0.458673i −0.975862 0.218388i \(-0.929920\pi\)
−0.735927 + 0.677060i \(0.763254\pi\)
\(462\) −4.78238 4.72180i −0.222496 0.219678i
\(463\) −9.11397 9.11397i −0.423562 0.423562i 0.462866 0.886428i \(-0.346821\pi\)
−0.886428 + 0.462866i \(0.846821\pi\)
\(464\) −7.20488 12.4792i −0.334478 0.579333i
\(465\) −26.6770 + 46.2060i −1.23712 + 2.14275i
\(466\) −3.94041 + 1.05583i −0.182536 + 0.0489104i
\(467\) 8.92031 15.4504i 0.412783 0.714960i −0.582410 0.812895i \(-0.697890\pi\)
0.995193 + 0.0979345i \(0.0312236\pi\)
\(468\) 6.68545 + 17.6912i 0.309035 + 0.817778i
\(469\) −17.5803 + 10.2999i −0.811782 + 0.475607i
\(470\) −11.5125 3.08475i −0.531030 0.142289i
\(471\) 4.66871 0.215123
\(472\) 21.0885 0.970677
\(473\) 10.7540 + 2.88153i 0.494470 + 0.132493i
\(474\) 3.67380 13.7108i 0.168743 0.629759i
\(475\) 9.37629 + 34.9928i 0.430214 + 1.60558i
\(476\) −5.13496 + 1.41105i −0.235361 + 0.0646752i
\(477\) 5.20013 9.00689i 0.238098 0.412397i
\(478\) 3.56799i 0.163196i
\(479\) 2.37889 + 8.87813i 0.108694 + 0.405652i 0.998738 0.0502226i \(-0.0159931\pi\)
−0.890044 + 0.455875i \(0.849326\pi\)
\(480\) 37.8975 21.8801i 1.72978 0.998686i
\(481\) −7.91944 + 5.69098i −0.361095 + 0.259487i
\(482\) 3.80434i 0.173283i
\(483\) 9.28103 + 2.42355i 0.422301 + 0.110275i
\(484\) −5.73748 9.93760i −0.260794 0.451709i
\(485\) 42.4740 24.5224i 1.92864 1.11350i
\(486\) 2.79645 10.4365i 0.126850 0.473409i
\(487\) 7.82334 7.82334i 0.354509 0.354509i −0.507275 0.861784i \(-0.669347\pi\)
0.861784 + 0.507275i \(0.169347\pi\)
\(488\) −16.8777 4.52236i −0.764017 0.204718i
\(489\) −10.6761 + 10.6761i −0.482789 + 0.482789i
\(490\) 0.157590 + 12.3621i 0.00711920 + 0.558465i
\(491\) 2.45531 1.41757i 0.110807 0.0639743i −0.443572 0.896239i \(-0.646289\pi\)
0.554379 + 0.832264i \(0.312956\pi\)
\(492\) 14.3243 + 14.3243i 0.645787 + 0.645787i
\(493\) 3.15583 + 5.46605i 0.142131 + 0.246179i
\(494\) −7.54815 + 2.85242i −0.339607 + 0.128336i
\(495\) 19.6592 + 11.3503i 0.883617 + 0.510157i
\(496\) 4.09929 15.2988i 0.184064 0.686935i
\(497\) −15.4157 + 9.03175i −0.691489 + 0.405129i
\(498\) 7.45174 + 4.30226i 0.333920 + 0.192789i
\(499\) −9.92738 37.0495i −0.444411 1.65856i −0.717488 0.696571i \(-0.754708\pi\)
0.273077 0.961992i \(-0.411959\pi\)
\(500\) −13.1841 13.1841i −0.589612 0.589612i
\(501\) −3.79328 3.79328i −0.169471 0.169471i
\(502\) −0.447511 1.67014i −0.0199734 0.0745418i
\(503\) 25.0453 + 14.4599i 1.11672 + 0.644736i 0.940561 0.339626i \(-0.110301\pi\)
0.176155 + 0.984362i \(0.443634\pi\)
\(504\) 14.5572 0.0927824i 0.648429 0.00413285i
\(505\) −9.07314 + 33.8614i −0.403750 + 1.50681i
\(506\) 1.33328 + 0.769769i 0.0592715 + 0.0342204i
\(507\) 21.0278 + 23.8490i 0.933877 + 1.05917i
\(508\) 7.53329 + 13.0480i 0.334236 + 0.578913i
\(509\) 9.05020 + 9.05020i 0.401143 + 0.401143i 0.878636 0.477493i \(-0.158454\pi\)
−0.477493 + 0.878636i \(0.658454\pi\)
\(510\) −4.28055 + 2.47138i −0.189546 + 0.109434i
\(511\) 0.0954849 + 14.9812i 0.00422400 + 0.662730i
\(512\) −16.0026 + 16.0026i −0.707221 + 0.707221i
\(513\) −0.194821 0.0522021i −0.00860155 0.00230478i
\(514\) −3.76650 + 3.76650i −0.166133 + 0.166133i
\(515\) 11.5169 42.9817i 0.507496 1.89400i
\(516\) −19.6056 + 11.3193i −0.863089 + 0.498305i
\(517\) 7.13901 + 12.3651i 0.313973 + 0.543817i
\(518\) 0.930765 + 3.38716i 0.0408955 + 0.148823i
\(519\) 46.3415i 2.03416i
\(520\) 15.1612 18.5243i 0.664861 0.812342i
\(521\) 13.9866 8.07515i 0.612763 0.353779i −0.161283 0.986908i \(-0.551563\pi\)
0.774046 + 0.633129i \(0.218230\pi\)
\(522\) −2.08969 7.79881i −0.0914631 0.341345i
\(523\) 36.1273i 1.57974i 0.613277 + 0.789868i \(0.289851\pi\)
−0.613277 + 0.789868i \(0.710149\pi\)
\(524\) −12.9172 + 22.3733i −0.564292 + 0.977382i
\(525\) −13.6242 49.5800i −0.594608 2.16385i
\(526\) 0.597006 + 2.22806i 0.0260307 + 0.0971479i
\(527\) −1.79554 + 6.70104i −0.0782149 + 0.291902i
\(528\) −13.0578 3.49883i −0.568268 0.152267i
\(529\) 20.8026 0.904462
\(530\) −6.15999 −0.267573
\(531\) −32.9187 8.82053i −1.42855 0.382778i
\(532\) −0.135237 21.2182i −0.00586328 0.919925i
\(533\) 15.4731 + 6.98590i 0.670212 + 0.302593i
\(534\) 5.98493 10.3662i 0.258993 0.448589i
\(535\) 28.4541 7.62425i 1.23018 0.329625i
\(536\) 7.10508 12.3064i 0.306893 0.531553i
\(537\) −14.5079 25.1285i −0.626063 1.08437i
\(538\) −8.92413 8.92413i −0.384747 0.384747i
\(539\) 10.3383 10.6053i 0.445304 0.456804i
\(540\) 0.270451 0.0724673i 0.0116384 0.00311849i
\(541\) 25.1563 6.74062i 1.08155 0.289802i 0.326322 0.945259i \(-0.394191\pi\)
0.755233 + 0.655457i \(0.227524\pi\)
\(542\) 0.650986i 0.0279623i
\(543\) −21.6184 12.4814i −0.927732 0.535627i
\(544\) 4.02342 4.02342i 0.172503 0.172503i
\(545\) 10.7214 0.459254
\(546\) 10.6872 4.11668i 0.457369 0.176177i
\(547\) −21.3472 −0.912739 −0.456369 0.889790i \(-0.650850\pi\)
−0.456369 + 0.889790i \(0.650850\pi\)
\(548\) −2.83019 + 2.83019i −0.120900 + 0.120900i
\(549\) 24.4541 + 14.1186i 1.04368 + 0.602567i
\(550\) 8.25247i 0.351886i
\(551\) −24.2918 + 6.50897i −1.03487 + 0.277291i
\(552\) −6.46186 + 1.73145i −0.275035 + 0.0736954i
\(553\) 30.2664 + 7.90344i 1.28706 + 0.336089i
\(554\) 0.0629511 + 0.0629511i 0.00267454 + 0.00267454i
\(555\) −11.9011 20.6133i −0.505172 0.874984i
\(556\) 4.29833 7.44492i 0.182290 0.315735i
\(557\) 6.33615 1.69776i 0.268471 0.0719366i −0.122072 0.992521i \(-0.538954\pi\)
0.390543 + 0.920585i \(0.372287\pi\)
\(558\) 4.43721 7.68548i 0.187842 0.325352i
\(559\) −12.0164 + 14.6819i −0.508241 + 0.620980i
\(560\) 12.5712 + 21.4569i 0.531230 + 0.906721i
\(561\) 5.71948 + 1.53253i 0.241476 + 0.0647034i
\(562\) −3.82197 −0.161220
\(563\) −10.0916 −0.425310 −0.212655 0.977127i \(-0.568211\pi\)
−0.212655 + 0.977127i \(0.568211\pi\)
\(564\) −28.0437 7.51428i −1.18085 0.316408i
\(565\) 15.2705 56.9902i 0.642434 2.39760i
\(566\) −0.928516 3.46527i −0.0390284 0.145656i
\(567\) 23.1773 + 6.05227i 0.973354 + 0.254172i
\(568\) 6.23026 10.7911i 0.261416 0.452786i
\(569\) 31.3060i 1.31241i 0.754581 + 0.656207i \(0.227840\pi\)
−0.754581 + 0.656207i \(0.772160\pi\)
\(570\) −5.09727 19.0233i −0.213501 0.796797i
\(571\) −8.05884 + 4.65277i −0.337252 + 0.194713i −0.659056 0.752094i \(-0.729044\pi\)
0.321804 + 0.946806i \(0.395711\pi\)
\(572\) −13.3527 + 1.33311i −0.558306 + 0.0557401i
\(573\) 14.6050i 0.610133i
\(574\) 4.29637 4.35149i 0.179327 0.181628i
\(575\) 5.88933 + 10.2006i 0.245602 + 0.425395i
\(576\) 7.18881 4.15046i 0.299534 0.172936i
\(577\) −4.44854 + 16.6022i −0.185195 + 0.691158i 0.809393 + 0.587267i \(0.199796\pi\)
−0.994589 + 0.103891i \(0.966871\pi\)
\(578\) 5.44618 5.44618i 0.226531 0.226531i
\(579\) −2.37099 0.635306i −0.0985351 0.0264024i
\(580\) 24.6862 24.6862i 1.02504 1.02504i
\(581\) −9.37630 + 16.4819i −0.388995 + 0.683786i
\(582\) −14.1723 + 8.18239i −0.587461 + 0.339171i
\(583\) 5.21806 + 5.21806i 0.216110 + 0.216110i
\(584\) −5.22419 9.04857i −0.216179 0.374432i
\(585\) −31.4142 + 22.5746i −1.29882 + 0.933343i
\(586\) 13.6457 + 7.87838i 0.563701 + 0.325453i
\(587\) 5.01190 18.7047i 0.206863 0.772025i −0.782010 0.623266i \(-0.785805\pi\)
0.988873 0.148759i \(-0.0475278\pi\)
\(588\) 0.383881 + 30.1135i 0.0158310 + 1.24186i
\(589\) −23.9388 13.8211i −0.986380 0.569487i
\(590\) 5.22433 + 19.4975i 0.215082 + 0.802698i
\(591\) 7.31614 + 7.31614i 0.300946 + 0.300946i
\(592\) 4.99627 + 4.99627i 0.205345 + 0.205345i
\(593\) −2.62077 9.78085i −0.107622 0.401651i 0.891007 0.453989i \(-0.149999\pi\)
−0.998629 + 0.0523376i \(0.983333\pi\)
\(594\) 0.0397897 + 0.0229726i 0.00163259 + 0.000942578i
\(595\) −5.50633 9.39840i −0.225738 0.385297i
\(596\) 1.26150 4.70799i 0.0516731 0.192847i
\(597\) 31.8864 + 18.4096i 1.30502 + 0.753456i
\(598\) −2.13049 + 1.53099i −0.0871224 + 0.0626070i
\(599\) −8.96728 15.5318i −0.366393 0.634611i 0.622606 0.782536i \(-0.286074\pi\)
−0.988999 + 0.147924i \(0.952741\pi\)
\(600\) 25.3567 + 25.3567i 1.03518 + 1.03518i
\(601\) 29.5092 17.0372i 1.20371 0.694960i 0.242329 0.970194i \(-0.422089\pi\)
0.961377 + 0.275234i \(0.0887552\pi\)
\(602\) 3.45458 + 5.89639i 0.140798 + 0.240319i
\(603\) −16.2381 + 16.2381i −0.661268 + 0.661268i
\(604\) 10.7279 + 2.87453i 0.436511 + 0.116963i
\(605\) 16.5968 16.5968i 0.674756 0.674756i
\(606\) 3.02744 11.2986i 0.122981 0.458973i
\(607\) −27.7235 + 16.0061i −1.12526 + 0.649669i −0.942739 0.333533i \(-0.891759\pi\)
−0.182522 + 0.983202i \(0.558426\pi\)
\(608\) 11.3358 + 19.6342i 0.459729 + 0.796274i
\(609\) 34.4181 9.45783i 1.39469 0.383250i
\(610\) 16.7247i 0.677162i
\(611\) −24.2109 + 2.41716i −0.979468 + 0.0977880i
\(612\) −5.19782 + 3.00096i −0.210109 + 0.121307i
\(613\) 4.48824 + 16.7504i 0.181279 + 0.676541i 0.995397 + 0.0958413i \(0.0305541\pi\)
−0.814118 + 0.580699i \(0.802779\pi\)
\(614\) 6.70313i 0.270516i
\(615\) −20.7179 + 35.8845i −0.835426 + 1.44700i
\(616\) −2.60975 + 9.99407i −0.105150 + 0.402672i
\(617\) −4.46908 16.6788i −0.179918 0.671464i −0.995661 0.0930497i \(-0.970338\pi\)
0.815743 0.578414i \(-0.196328\pi\)
\(618\) −3.84286 + 14.3417i −0.154582 + 0.576909i
\(619\) −2.93095 0.785345i −0.117805 0.0315657i 0.199435 0.979911i \(-0.436089\pi\)
−0.317240 + 0.948345i \(0.602756\pi\)
\(620\) 38.3730 1.54110
\(621\) −0.0655771 −0.00263152
\(622\) 7.86477 + 2.10736i 0.315349 + 0.0844974i
\(623\) 22.9282 + 13.0435i 0.918599 + 0.522576i
\(624\) 14.5907 17.8272i 0.584094 0.713659i
\(625\) −0.795947 + 1.37862i −0.0318379 + 0.0551448i
\(626\) 4.41421 1.18278i 0.176427 0.0472736i
\(627\) −11.7966 + 20.4322i −0.471109 + 0.815985i
\(628\) −1.67890 2.90794i −0.0669954 0.116039i
\(629\) −2.18843 2.18843i −0.0872583 0.0872583i
\(630\) 3.69209 + 13.4359i 0.147096 + 0.535300i
\(631\) −46.4748 + 12.4529i −1.85013 + 0.495742i −0.999547 0.0300916i \(-0.990420\pi\)
−0.850587 + 0.525834i \(0.823753\pi\)
\(632\) −21.0728 + 5.64643i −0.838229 + 0.224603i
\(633\) 60.4383i 2.40221i
\(634\) −14.0890 8.13426i −0.559544 0.323053i
\(635\) −21.7916 + 21.7916i −0.864772 + 0.864772i
\(636\) −15.0054 −0.595002
\(637\) 9.22209 + 23.4937i 0.365393 + 0.930853i
\(638\) 5.72881 0.226806
\(639\) −14.2388 + 14.2388i −0.563278 + 0.563278i
\(640\) −35.2478 20.3503i −1.39329 0.804417i
\(641\) 50.4462i 1.99251i 0.0864867 + 0.996253i \(0.472436\pi\)
−0.0864867 + 0.996253i \(0.527564\pi\)
\(642\) −9.49429 + 2.54399i −0.374710 + 0.100403i
\(643\) −23.5329 + 6.30561i −0.928046 + 0.248669i −0.691021 0.722834i \(-0.742839\pi\)
−0.237025 + 0.971504i \(0.576172\pi\)
\(644\) −1.82799 6.65228i −0.0720331 0.262137i
\(645\) −32.7434 32.7434i −1.28927 1.28927i
\(646\) −1.28039 2.21770i −0.0503763 0.0872543i
\(647\) 21.8129 37.7811i 0.857554 1.48533i −0.0167008 0.999861i \(-0.505316\pi\)
0.874255 0.485467i \(-0.161350\pi\)
\(648\) −16.1370 + 4.32391i −0.633923 + 0.169859i
\(649\) 12.0906 20.9415i 0.474598 0.822028i
\(650\) 12.8173 + 5.78685i 0.502735 + 0.226979i
\(651\) 34.1010 + 19.3995i 1.33652 + 0.760326i
\(652\) 10.4889 + 2.81048i 0.410776 + 0.110067i
\(653\) 48.0114 1.87883 0.939416 0.342780i \(-0.111368\pi\)
0.939416 + 0.342780i \(0.111368\pi\)
\(654\) −3.57741 −0.139888
\(655\) −51.0425 13.6768i −1.99439 0.534396i
\(656\) 3.18359 11.8813i 0.124298 0.463887i
\(657\) 4.37016 + 16.3097i 0.170496 + 0.636301i
\(658\) −2.21431 + 8.47974i −0.0863228 + 0.330575i
\(659\) 2.00241 3.46828i 0.0780030 0.135105i −0.824385 0.566029i \(-0.808479\pi\)
0.902388 + 0.430924i \(0.141812\pi\)
\(660\) 32.7521i 1.27487i
\(661\) 5.45564 + 20.3607i 0.212200 + 0.791941i 0.987134 + 0.159898i \(0.0511166\pi\)
−0.774934 + 0.632043i \(0.782217\pi\)
\(662\) −10.0101 + 5.77934i −0.389054 + 0.224620i
\(663\) −6.39089 + 7.80853i −0.248202 + 0.303258i
\(664\) 13.2247i 0.513217i
\(665\) 41.8503 11.5001i 1.62288 0.445956i
\(666\) 1.97952 + 3.42862i 0.0767047 + 0.132856i
\(667\) −7.08120 + 4.08833i −0.274185 + 0.158301i
\(668\) −0.998584 + 3.72677i −0.0386364 + 0.144193i
\(669\) −1.29214 + 1.29214i −0.0499572 + 0.0499572i
\(670\) 13.1381 + 3.52033i 0.507567 + 0.136002i
\(671\) −14.1673 + 14.1673i −0.546921 + 0.546921i
\(672\) −16.2664 27.7641i −0.627490 1.07102i
\(673\) −39.2951 + 22.6870i −1.51471 + 0.874521i −0.514863 + 0.857273i \(0.672157\pi\)
−0.999851 + 0.0172480i \(0.994510\pi\)
\(674\) −8.53712 8.53712i −0.328838 0.328838i
\(675\) 0.175758 + 0.304422i 0.00676494 + 0.0117172i
\(676\) 7.29279 21.6736i 0.280492 0.833599i
\(677\) −12.2354 7.06412i −0.470245 0.271496i 0.246097 0.969245i \(-0.420852\pi\)
−0.716342 + 0.697749i \(0.754185\pi\)
\(678\) −5.09531 + 19.0160i −0.195684 + 0.730304i
\(679\) −18.2307 31.1168i −0.699631 1.19415i
\(680\) 6.57896 + 3.79837i 0.252292 + 0.145661i
\(681\) 6.56556 + 24.5030i 0.251593 + 0.938957i
\(682\) 4.45251 + 4.45251i 0.170496 + 0.170496i
\(683\) −0.171916 0.171916i −0.00657818 0.00657818i 0.703810 0.710388i \(-0.251481\pi\)
−0.710388 + 0.703810i \(0.751481\pi\)
\(684\) −6.18955 23.0997i −0.236664 0.883240i
\(685\) −7.09006 4.09345i −0.270897 0.156403i
\(686\) 9.08934 0.173815i 0.347033 0.00663630i
\(687\) 1.08732 4.05793i 0.0414838 0.154820i
\(688\) 11.9046 + 6.87311i 0.453858 + 0.262035i
\(689\) −11.7635 + 4.44536i −0.448152 + 0.169355i
\(690\) −3.20164 5.54540i −0.121884 0.211110i
\(691\) 25.5418 + 25.5418i 0.971656 + 0.971656i 0.999609 0.0279531i \(-0.00889891\pi\)
−0.0279531 + 0.999609i \(0.508899\pi\)
\(692\) −28.8641 + 16.6647i −1.09725 + 0.633497i
\(693\) 8.25389 14.5089i 0.313539 0.551149i
\(694\) 11.5788 11.5788i 0.439526 0.439526i
\(695\) 16.9849 + 4.55108i 0.644273 + 0.172632i
\(696\) −17.6024 + 17.6024i −0.667219 + 0.667219i
\(697\) −1.39445 + 5.20416i −0.0528186 + 0.197122i
\(698\) −2.32456 + 1.34208i −0.0879858 + 0.0507986i
\(699\) −10.1630 17.6029i −0.384401 0.665802i
\(700\) −25.9819 + 26.3152i −0.982023 + 0.994621i
\(701\) 26.1953i 0.989383i −0.869069 0.494691i \(-0.835281\pi\)
0.869069 0.494691i \(-0.164719\pi\)
\(702\) −0.0635815 + 0.0456903i −0.00239973 + 0.00172447i
\(703\) 10.6795 6.16581i 0.402785 0.232548i
\(704\) 1.52441 + 5.68918i 0.0574534 + 0.214419i
\(705\) 59.3854i 2.23658i
\(706\) −1.08467 + 1.87871i −0.0408221 + 0.0707060i
\(707\) 24.9414 + 6.51293i 0.938016 + 0.244944i
\(708\) 12.7262 + 47.4947i 0.478279 + 1.78496i
\(709\) 4.04305 15.0889i 0.151840 0.566674i −0.847515 0.530771i \(-0.821902\pi\)
0.999355 0.0359035i \(-0.0114309\pi\)
\(710\) 11.5204 + 3.08689i 0.432354 + 0.115849i
\(711\) 35.2558 1.32219
\(712\) −18.3970 −0.689456
\(713\) −8.68112 2.32610i −0.325111 0.0871131i
\(714\) 1.83730 + 3.13597i 0.0687593 + 0.117361i
\(715\) −9.70285 25.6760i −0.362866 0.960227i
\(716\) −10.4343 + 18.0727i −0.389948 + 0.675410i
\(717\) −17.1721 + 4.60125i −0.641304 + 0.171837i
\(718\) 6.81568 11.8051i 0.254359 0.440562i
\(719\) −0.698769 1.21030i −0.0260597 0.0451367i 0.852701 0.522399i \(-0.174963\pi\)
−0.878761 + 0.477262i \(0.841629\pi\)
\(720\) 19.8188 + 19.8188i 0.738604 + 0.738604i
\(721\) −31.6591 8.26712i −1.17905 0.307884i
\(722\) 0.847040 0.226964i 0.0315236 0.00844671i
\(723\) −18.3096 + 4.90603i −0.680940 + 0.182457i
\(724\) 17.9535i 0.667238i
\(725\) 37.9578 + 21.9149i 1.40972 + 0.813900i
\(726\) −5.53787 + 5.53787i −0.205530 + 0.205530i
\(727\) 8.63150 0.320124 0.160062 0.987107i \(-0.448831\pi\)
0.160062 + 0.987107i \(0.448831\pi\)
\(728\) −13.6922 11.0614i −0.507468 0.409964i
\(729\) 26.6734 0.987905
\(730\) 7.07168 7.07168i 0.261735 0.261735i
\(731\) −5.21435 3.01051i −0.192860 0.111348i
\(732\) 40.7403i 1.50581i
\(733\) 0.784228 0.210133i 0.0289661 0.00776145i −0.244307 0.969698i \(-0.578560\pi\)
0.273273 + 0.961937i \(0.411894\pi\)
\(734\) 7.98916 2.14069i 0.294885 0.0790143i
\(735\) −59.2935 + 16.7006i −2.18707 + 0.616009i
\(736\) 5.21230 + 5.21230i 0.192128 + 0.192128i
\(737\) −8.14706 14.1111i −0.300101 0.519790i
\(738\) 3.44603 5.96869i 0.126850 0.219711i
\(739\) 21.6112 5.79070i 0.794981 0.213014i 0.161601 0.986856i \(-0.448334\pi\)
0.633379 + 0.773842i \(0.281667\pi\)
\(740\) −8.55941 + 14.8253i −0.314650 + 0.544990i
\(741\) −23.4622 32.6494i −0.861905 1.19941i
\(742\) 0.0288697 + 4.52954i 0.00105984 + 0.166285i
\(743\) 21.2232 + 5.68675i 0.778605 + 0.208627i 0.626170 0.779687i \(-0.284622\pi\)
0.152436 + 0.988313i \(0.451288\pi\)
\(744\) −27.3617 −1.00313
\(745\) 9.96965 0.365260
\(746\) 1.31949 + 0.353557i 0.0483100 + 0.0129446i
\(747\) −5.53138 + 20.6434i −0.202383 + 0.755302i
\(748\) −1.10222 4.11352i −0.0403010 0.150405i
\(749\) −5.73958 20.8870i −0.209720 0.763194i
\(750\) −6.36272 + 11.0206i −0.232334 + 0.402414i
\(751\) 25.4210i 0.927626i 0.885933 + 0.463813i \(0.153519\pi\)
−0.885933 + 0.463813i \(0.846481\pi\)
\(752\) 4.56269 + 17.0282i 0.166384 + 0.620954i
\(753\) 7.46095 4.30758i 0.271892 0.156977i
\(754\) −4.01720 + 8.89768i −0.146298 + 0.324035i
\(755\) 22.7174i 0.826771i
\(756\) −0.0545538 0.198527i −0.00198410 0.00722038i
\(757\) 19.9731 + 34.5945i 0.725936 + 1.25736i 0.958587 + 0.284799i \(0.0919267\pi\)
−0.232651 + 0.972560i \(0.574740\pi\)
\(758\) −0.323065 + 0.186521i −0.0117342 + 0.00677476i
\(759\) −1.98537 + 7.40951i −0.0720645 + 0.268948i
\(760\) −21.4035 + 21.4035i −0.776386 + 0.776386i
\(761\) 16.8436 + 4.51324i 0.610581 + 0.163605i 0.550842 0.834609i \(-0.314307\pi\)
0.0597387 + 0.998214i \(0.480973\pi\)
\(762\) 7.27120 7.27120i 0.263408 0.263408i
\(763\) −0.0502473 7.88360i −0.00181907 0.285405i
\(764\) −9.09684 + 5.25206i −0.329112 + 0.190013i
\(765\) −8.68089 8.68089i −0.313858 0.313858i
\(766\) 7.72272 + 13.3761i 0.279033 + 0.483300i
\(767\) 24.0470 + 33.4633i 0.868288 + 1.20829i
\(768\) −0.0315111 0.0181929i −0.00113706 0.000656480i
\(769\) 0.710240 2.65065i 0.0256119 0.0955849i −0.951937 0.306295i \(-0.900911\pi\)
0.977549 + 0.210710i \(0.0675774\pi\)
\(770\) −9.88658 + 0.0630135i −0.356288 + 0.00227085i
\(771\) −22.9847 13.2702i −0.827774 0.477915i
\(772\) 0.456920 + 1.70525i 0.0164449 + 0.0613733i
\(773\) −9.40098 9.40098i −0.338130 0.338130i 0.517533 0.855663i \(-0.326850\pi\)
−0.855663 + 0.517533i \(0.826850\pi\)