Properties

Label 462.2.w.a.29.7
Level $462$
Weight $2$
Character 462.29
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.7
Character \(\chi\) \(=\) 462.29
Dual form 462.2.w.a.239.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(0.261877 - 1.71214i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.43689 + 1.97771i) q^{5} +(-1.21823 + 1.23122i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86284 - 0.896741i) q^{9} -2.44458i q^{10} +(1.53536 + 2.93984i) q^{11} +(1.70927 - 0.280020i) q^{12} +(4.02784 - 5.54385i) q^{13} +(0.951057 + 0.309017i) q^{14} +(3.76240 - 1.94224i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.36689 - 0.993107i) q^{17} +(1.78900 + 2.40821i) q^{18} +(6.15014 + 1.99830i) q^{19} +(-1.43689 + 1.97771i) q^{20} +(0.280020 + 1.70927i) q^{21} +(0.485860 - 3.28084i) q^{22} -5.69092i q^{23} +(-1.54742 - 0.778140i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(-6.51718 + 2.11756i) q^{26} +(-2.28506 + 4.66675i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(1.73027 + 5.32522i) q^{29} +(-4.18546 - 0.640180i) q^{30} +(-0.638022 - 0.463550i) q^{31} +1.00000 q^{32} +(5.43549 - 1.85888i) q^{33} -1.68957 q^{34} +(-1.97771 - 1.43689i) q^{35} +(-0.0318154 - 2.99983i) q^{36} +(2.12167 + 6.52982i) q^{37} +(-3.80100 - 5.23162i) q^{38} +(-8.43704 - 8.34803i) q^{39} +(2.32493 - 0.755417i) q^{40} +(2.79393 - 8.59884i) q^{41} +(0.778140 - 1.54742i) q^{42} -6.16717i q^{43} +(-2.32150 + 2.36868i) q^{44} +(-2.34009 - 6.95037i) q^{45} +(-3.34504 + 4.60405i) q^{46} +(-4.81667 - 1.56503i) q^{47} +(0.794507 + 1.53908i) q^{48} +(0.809017 - 0.587785i) q^{49} +(0.789576 - 0.573660i) q^{50} +(-1.34238 - 2.60039i) q^{51} +(6.51718 + 2.11756i) q^{52} +(0.765951 - 1.05424i) q^{53} +(4.59169 - 2.43235i) q^{54} +(-3.60800 + 7.26072i) q^{55} +1.00000i q^{56} +(5.03195 - 10.0066i) q^{57} +(1.73027 - 5.32522i) q^{58} +(-13.0119 + 4.22781i) q^{59} +(3.00982 + 2.97807i) q^{60} +(5.87948 + 8.09241i) q^{61} +(0.243703 + 0.750040i) q^{62} +(2.99983 - 0.0318154i) q^{63} +(-0.809017 - 0.587785i) q^{64} +16.7517 q^{65} +(-5.49003 - 1.69104i) q^{66} -1.03374 q^{67} +(1.36689 + 0.993107i) q^{68} +(-9.74364 - 1.49032i) q^{69} +(0.755417 + 2.32493i) q^{70} +(-4.46190 - 6.14128i) q^{71} +(-1.73752 + 2.44562i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(2.12167 - 6.52982i) q^{74} +(1.51023 + 0.759441i) q^{75} +6.46664i q^{76} +(-2.36868 - 2.32150i) q^{77} +(1.91886 + 11.7129i) q^{78} +(-6.14287 + 8.45493i) q^{79} +(-2.32493 - 0.755417i) q^{80} +(7.39171 + 5.13445i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(-2.09224 + 1.52010i) q^{83} +(-1.53908 + 0.794507i) q^{84} +(3.92815 + 1.27633i) q^{85} +(-3.62497 + 4.98935i) q^{86} +(9.57063 - 1.56791i) q^{87} +(3.27041 - 0.551756i) q^{88} +11.7971i q^{89} +(-2.19215 + 6.99844i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(5.41238 - 1.75859i) q^{92} +(-0.960746 + 0.970989i) q^{93} +(2.97687 + 4.09731i) q^{94} +(4.88501 + 15.0345i) q^{95} +(0.261877 - 1.71214i) q^{96} +(0.828161 + 0.601694i) q^{97} -1.00000 q^{98} +(-1.75923 - 9.79312i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} - 8q^{11} + 6q^{12} + 36q^{15} - 12q^{16} - 24q^{17} + 30q^{19} - 8q^{22} - 4q^{24} + 18q^{25} - 20q^{26} - 22q^{27} + 8q^{29} - 24q^{30} - 32q^{31} + 48q^{32} - 14q^{33} - 4q^{34} + 6q^{35} - 10q^{36} - 20q^{37} + 20q^{38} - 6q^{39} + 22q^{44} + 12q^{45} + 20q^{46} + 20q^{47} - 4q^{48} + 12q^{49} + 28q^{50} + 8q^{51} + 20q^{52} + 20q^{53} + 18q^{54} + 16q^{55} - 2q^{57} + 8q^{58} + 30q^{59} - 4q^{60} - 20q^{61} + 8q^{62} + 4q^{63} - 12q^{64} - 14q^{66} + 36q^{67} - 24q^{68} - 70q^{69} - 4q^{70} + 10q^{72} - 20q^{73} - 20q^{74} - 30q^{75} - 16q^{77} - 16q^{78} - 20q^{79} + 26q^{81} - 10q^{82} - 46q^{83} - 10q^{84} + 10q^{85} - 30q^{86} + 8q^{87} - 8q^{88} - 38q^{90} - 36q^{91} + 10q^{92} - 36q^{93} + 50q^{95} - 4q^{96} - 2q^{97} - 48q^{98} + 70q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) 0.261877 1.71214i 0.151195 0.988504i
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 1.43689 + 1.97771i 0.642596 + 0.884457i 0.998751 0.0499697i \(-0.0159125\pi\)
−0.356155 + 0.934427i \(0.615912\pi\)
\(6\) −1.21823 + 1.23122i −0.497342 + 0.502644i
\(7\) −0.951057 + 0.309017i −0.359466 + 0.116797i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −2.86284 0.896741i −0.954280 0.298914i
\(10\) 2.44458i 0.773044i
\(11\) 1.53536 + 2.93984i 0.462929 + 0.886395i
\(12\) 1.70927 0.280020i 0.493422 0.0808348i
\(13\) 4.02784 5.54385i 1.11712 1.53759i 0.306638 0.951826i \(-0.400796\pi\)
0.810484 0.585761i \(-0.199204\pi\)
\(14\) 0.951057 + 0.309017i 0.254181 + 0.0825883i
\(15\) 3.76240 1.94224i 0.971447 0.501483i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 1.36689 0.993107i 0.331521 0.240864i −0.409555 0.912285i \(-0.634316\pi\)
0.741076 + 0.671422i \(0.234316\pi\)
\(18\) 1.78900 + 2.40821i 0.421670 + 0.567621i
\(19\) 6.15014 + 1.99830i 1.41094 + 0.458442i 0.912712 0.408605i \(-0.133984\pi\)
0.498227 + 0.867046i \(0.333984\pi\)
\(20\) −1.43689 + 1.97771i −0.321298 + 0.442229i
\(21\) 0.280020 + 1.70927i 0.0611054 + 0.372992i
\(22\) 0.485860 3.28084i 0.103586 0.699478i
\(23\) 5.69092i 1.18664i −0.804967 0.593319i \(-0.797817\pi\)
0.804967 0.593319i \(-0.202183\pi\)
\(24\) −1.54742 0.778140i −0.315865 0.158837i
\(25\) −0.301591 + 0.928202i −0.0603182 + 0.185640i
\(26\) −6.51718 + 2.11756i −1.27812 + 0.415288i
\(27\) −2.28506 + 4.66675i −0.439760 + 0.898116i
\(28\) −0.587785 0.809017i −0.111081 0.152890i
\(29\) 1.73027 + 5.32522i 0.321303 + 0.988868i 0.973082 + 0.230459i \(0.0740229\pi\)
−0.651779 + 0.758409i \(0.725977\pi\)
\(30\) −4.18546 0.640180i −0.764157 0.116880i
\(31\) −0.638022 0.463550i −0.114592 0.0832561i 0.529013 0.848614i \(-0.322562\pi\)
−0.643605 + 0.765358i \(0.722562\pi\)
\(32\) 1.00000 0.176777
\(33\) 5.43549 1.85888i 0.946198 0.323589i
\(34\) −1.68957 −0.289760
\(35\) −1.97771 1.43689i −0.334293 0.242878i
\(36\) −0.0318154 2.99983i −0.00530257 0.499972i
\(37\) 2.12167 + 6.52982i 0.348800 + 1.07350i 0.959518 + 0.281648i \(0.0908809\pi\)
−0.610718 + 0.791848i \(0.709119\pi\)
\(38\) −3.80100 5.23162i −0.616603 0.848681i
\(39\) −8.43704 8.34803i −1.35101 1.33675i
\(40\) 2.32493 0.755417i 0.367604 0.119442i
\(41\) 2.79393 8.59884i 0.436339 1.34291i −0.455369 0.890303i \(-0.650493\pi\)
0.891708 0.452611i \(-0.149507\pi\)
\(42\) 0.778140 1.54742i 0.120070 0.238772i
\(43\) 6.16717i 0.940485i −0.882537 0.470242i \(-0.844167\pi\)
0.882537 0.470242i \(-0.155833\pi\)
\(44\) −2.32150 + 2.36868i −0.349979 + 0.357092i
\(45\) −2.34009 6.95037i −0.348840 1.03610i
\(46\) −3.34504 + 4.60405i −0.493199 + 0.678830i
\(47\) −4.81667 1.56503i −0.702584 0.228283i −0.0641278 0.997942i \(-0.520427\pi\)
−0.638456 + 0.769658i \(0.720427\pi\)
\(48\) 0.794507 + 1.53908i 0.114677 + 0.222147i
\(49\) 0.809017 0.587785i 0.115574 0.0839693i
\(50\) 0.789576 0.573660i 0.111663 0.0811278i
\(51\) −1.34238 2.60039i −0.187971 0.364127i
\(52\) 6.51718 + 2.11756i 0.903771 + 0.293653i
\(53\) 0.765951 1.05424i 0.105212 0.144811i −0.753165 0.657832i \(-0.771474\pi\)
0.858376 + 0.513021i \(0.171474\pi\)
\(54\) 4.59169 2.43235i 0.624850 0.331001i
\(55\) −3.60800 + 7.26072i −0.486502 + 0.979035i
\(56\) 1.00000i 0.133631i
\(57\) 5.03195 10.0066i 0.666498 1.32540i
\(58\) 1.73027 5.32522i 0.227195 0.699235i
\(59\) −13.0119 + 4.22781i −1.69400 + 0.550414i −0.987544 0.157343i \(-0.949707\pi\)
−0.706456 + 0.707757i \(0.749707\pi\)
\(60\) 3.00982 + 2.97807i 0.388566 + 0.384467i
\(61\) 5.87948 + 8.09241i 0.752790 + 1.03613i 0.997780 + 0.0666007i \(0.0212154\pi\)
−0.244990 + 0.969526i \(0.578785\pi\)
\(62\) 0.243703 + 0.750040i 0.0309503 + 0.0952552i
\(63\) 2.99983 0.0318154i 0.377943 0.00400837i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 16.7517 2.07779
\(66\) −5.49003 1.69104i −0.675776 0.208152i
\(67\) −1.03374 −0.126292 −0.0631459 0.998004i \(-0.520113\pi\)
−0.0631459 + 0.998004i \(0.520113\pi\)
\(68\) 1.36689 + 0.993107i 0.165760 + 0.120432i
\(69\) −9.74364 1.49032i −1.17300 0.179414i
\(70\) 0.755417 + 2.32493i 0.0902896 + 0.277883i
\(71\) −4.46190 6.14128i −0.529531 0.728836i 0.457528 0.889195i \(-0.348735\pi\)
−0.987059 + 0.160359i \(0.948735\pi\)
\(72\) −1.73752 + 2.44562i −0.204768 + 0.288219i
\(73\) 0.108422 0.0352283i 0.0126898 0.00412316i −0.302665 0.953097i \(-0.597876\pi\)
0.315355 + 0.948974i \(0.397876\pi\)
\(74\) 2.12167 6.52982i 0.246639 0.759076i
\(75\) 1.51023 + 0.759441i 0.174386 + 0.0876927i
\(76\) 6.46664i 0.741774i
\(77\) −2.36868 2.32150i −0.269936 0.264560i
\(78\) 1.91886 + 11.7129i 0.217268 + 1.32622i
\(79\) −6.14287 + 8.45493i −0.691127 + 0.951254i 0.308873 + 0.951103i \(0.400048\pi\)
−1.00000 0.000151201i \(0.999952\pi\)
\(80\) −2.32493 0.755417i −0.259935 0.0844581i
\(81\) 7.39171 + 5.13445i 0.821301 + 0.570495i
\(82\) −7.31461 + 5.31438i −0.807764 + 0.586875i
\(83\) −2.09224 + 1.52010i −0.229653 + 0.166852i −0.696661 0.717401i \(-0.745332\pi\)
0.467008 + 0.884253i \(0.345332\pi\)
\(84\) −1.53908 + 0.794507i −0.167927 + 0.0866878i
\(85\) 3.92815 + 1.27633i 0.426067 + 0.138438i
\(86\) −3.62497 + 4.98935i −0.390891 + 0.538015i
\(87\) 9.57063 1.56791i 1.02608 0.168097i
\(88\) 3.27041 0.551756i 0.348627 0.0588174i
\(89\) 11.7971i 1.25049i 0.780428 + 0.625245i \(0.215001\pi\)
−0.780428 + 0.625245i \(0.784999\pi\)
\(90\) −2.19215 + 6.99844i −0.231073 + 0.737701i
\(91\) −2.11756 + 6.51718i −0.221981 + 0.683187i
\(92\) 5.41238 1.75859i 0.564280 0.183346i
\(93\) −0.960746 + 0.970989i −0.0996247 + 0.100687i
\(94\) 2.97687 + 4.09731i 0.307040 + 0.422605i
\(95\) 4.88501 + 15.0345i 0.501191 + 1.54251i
\(96\) 0.261877 1.71214i 0.0267277 0.174744i
\(97\) 0.828161 + 0.601694i 0.0840870 + 0.0610928i 0.629034 0.777377i \(-0.283450\pi\)
−0.544947 + 0.838470i \(0.683450\pi\)
\(98\) −1.00000 −0.101015
\(99\) −1.75923 9.79312i −0.176809 0.984245i
\(100\) −0.975969 −0.0975969
\(101\) 10.4795 + 7.61383i 1.04275 + 0.757605i 0.970821 0.239805i \(-0.0770835\pi\)
0.0719321 + 0.997410i \(0.477084\pi\)
\(102\) −0.442461 + 2.89279i −0.0438102 + 0.286429i
\(103\) 0.879825 + 2.70782i 0.0866917 + 0.266810i 0.985000 0.172557i \(-0.0552029\pi\)
−0.898308 + 0.439367i \(0.855203\pi\)
\(104\) −4.02784 5.54385i −0.394962 0.543619i
\(105\) −2.97807 + 3.00982i −0.290630 + 0.293728i
\(106\) −1.23934 + 0.402684i −0.120375 + 0.0391122i
\(107\) −2.43057 + 7.48053i −0.234972 + 0.723170i 0.762153 + 0.647397i \(0.224142\pi\)
−0.997125 + 0.0757729i \(0.975858\pi\)
\(108\) −5.14446 0.731115i −0.495026 0.0703516i
\(109\) 9.74860i 0.933747i −0.884324 0.466873i \(-0.845380\pi\)
0.884324 0.466873i \(-0.154620\pi\)
\(110\) 7.18667 3.75332i 0.685222 0.357865i
\(111\) 11.7356 1.92258i 1.11389 0.182483i
\(112\) 0.587785 0.809017i 0.0555405 0.0764449i
\(113\) −11.5838 3.76380i −1.08971 0.354068i −0.291576 0.956548i \(-0.594180\pi\)
−0.798135 + 0.602479i \(0.794180\pi\)
\(114\) −9.95266 + 5.13779i −0.932152 + 0.481198i
\(115\) 11.2550 8.17721i 1.04953 0.762529i
\(116\) −4.52990 + 3.29117i −0.420591 + 0.305577i
\(117\) −16.5025 + 12.2592i −1.52565 + 1.13337i
\(118\) 13.0119 + 4.22781i 1.19784 + 0.389201i
\(119\) −0.993107 + 1.36689i −0.0910380 + 0.125303i
\(120\) −0.684531 4.17844i −0.0624889 0.381437i
\(121\) −6.28532 + 9.02744i −0.571393 + 0.820677i
\(122\) 10.0028i 0.905608i
\(123\) −13.9908 7.03545i −1.26150 0.634365i
\(124\) 0.243703 0.750040i 0.0218852 0.0673556i
\(125\) 9.35560 3.03982i 0.836791 0.271890i
\(126\) −2.44562 1.73752i −0.217873 0.154790i
\(127\) −4.60952 6.34446i −0.409029 0.562980i 0.553953 0.832548i \(-0.313119\pi\)
−0.962981 + 0.269569i \(0.913119\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) −10.5591 1.61504i −0.929673 0.142196i
\(130\) −13.5524 9.84638i −1.18862 0.863585i
\(131\) −17.0271 −1.48766 −0.743830 0.668369i \(-0.766993\pi\)
−0.743830 + 0.668369i \(0.766993\pi\)
\(132\) 3.44756 + 4.59504i 0.300071 + 0.399946i
\(133\) −6.46664 −0.560729
\(134\) 0.836316 + 0.607619i 0.0722467 + 0.0524903i
\(135\) −12.5128 + 2.18642i −1.07693 + 0.188177i
\(136\) −0.522107 1.60688i −0.0447703 0.137789i
\(137\) 0.370586 + 0.510068i 0.0316613 + 0.0435781i 0.824554 0.565783i \(-0.191426\pi\)
−0.792893 + 0.609361i \(0.791426\pi\)
\(138\) 7.00678 + 6.93286i 0.596457 + 0.590165i
\(139\) −1.18245 + 0.384201i −0.100294 + 0.0325875i −0.358734 0.933440i \(-0.616792\pi\)
0.258440 + 0.966027i \(0.416792\pi\)
\(140\) 0.755417 2.32493i 0.0638444 0.196493i
\(141\) −3.94093 + 7.83697i −0.331886 + 0.659992i
\(142\) 7.59104i 0.637026i
\(143\) 22.4822 + 3.32939i 1.88006 + 0.278418i
\(144\) 2.84318 0.957257i 0.236931 0.0797714i
\(145\) −8.04552 + 11.0737i −0.668144 + 0.919621i
\(146\) −0.108422 0.0352283i −0.00897303 0.00291552i
\(147\) −0.794507 1.53908i −0.0655298 0.126941i
\(148\) −5.55460 + 4.03565i −0.456585 + 0.331728i
\(149\) 16.0997 11.6971i 1.31894 0.958268i 0.318997 0.947756i \(-0.396654\pi\)
0.999945 0.0105120i \(-0.00334614\pi\)
\(150\) −0.775414 1.50209i −0.0633123 0.122645i
\(151\) 5.95714 + 1.93559i 0.484785 + 0.157516i 0.541205 0.840891i \(-0.317968\pi\)
−0.0564196 + 0.998407i \(0.517968\pi\)
\(152\) 3.80100 5.23162i 0.308301 0.424341i
\(153\) −4.80376 + 1.61736i −0.388361 + 0.130756i
\(154\) 0.551756 + 3.27041i 0.0444618 + 0.263537i
\(155\) 1.92789i 0.154852i
\(156\) 5.33226 10.6038i 0.426923 0.848982i
\(157\) −4.09345 + 12.5983i −0.326693 + 1.00546i 0.643978 + 0.765044i \(0.277283\pi\)
−0.970671 + 0.240413i \(0.922717\pi\)
\(158\) 9.93937 3.22950i 0.790734 0.256925i
\(159\) −1.60442 1.58750i −0.127239 0.125897i
\(160\) 1.43689 + 1.97771i 0.113596 + 0.156351i
\(161\) 1.75859 + 5.41238i 0.138596 + 0.426556i
\(162\) −2.96207 8.49860i −0.232722 0.667713i
\(163\) 5.90734 + 4.29194i 0.462699 + 0.336170i 0.794589 0.607148i \(-0.207686\pi\)
−0.331890 + 0.943318i \(0.607686\pi\)
\(164\) 9.04136 0.706012
\(165\) 11.4865 + 8.07881i 0.894223 + 0.628934i
\(166\) 2.58614 0.200724
\(167\) −10.4925 7.62322i −0.811931 0.589903i 0.102459 0.994737i \(-0.467329\pi\)
−0.914390 + 0.404835i \(0.867329\pi\)
\(168\) 1.71214 + 0.261877i 0.132094 + 0.0202043i
\(169\) −10.4935 32.2957i −0.807194 2.48429i
\(170\) −2.42773 3.34148i −0.186198 0.256280i
\(171\) −15.8149 11.2359i −1.20940 0.859231i
\(172\) 5.86533 1.90576i 0.447227 0.145313i
\(173\) −5.26759 + 16.2120i −0.400488 + 1.23257i 0.524117 + 0.851646i \(0.324395\pi\)
−0.924605 + 0.380928i \(0.875605\pi\)
\(174\) −8.66440 4.35701i −0.656846 0.330304i
\(175\) 0.975969i 0.0737763i
\(176\) −2.97013 1.47592i −0.223882 0.111251i
\(177\) 3.83109 + 23.3853i 0.287962 + 1.75775i
\(178\) 6.93417 9.54406i 0.519738 0.715358i
\(179\) −5.27534 1.71406i −0.394297 0.128115i 0.105156 0.994456i \(-0.466466\pi\)
−0.499453 + 0.866341i \(0.666466\pi\)
\(180\) 5.88707 4.37334i 0.438796 0.325970i
\(181\) −12.4538 + 9.04821i −0.925684 + 0.672548i −0.944932 0.327266i \(-0.893873\pi\)
0.0192486 + 0.999815i \(0.493873\pi\)
\(182\) 5.54385 4.02784i 0.410937 0.298563i
\(183\) 15.3950 7.94726i 1.13803 0.587479i
\(184\) −5.41238 1.75859i −0.399006 0.129645i
\(185\) −9.86547 + 13.5787i −0.725324 + 0.998323i
\(186\) 1.34799 0.220835i 0.0988396 0.0161924i
\(187\) 5.01825 + 2.49367i 0.366971 + 0.182355i
\(188\) 5.06455i 0.369370i
\(189\) 0.731115 5.14446i 0.0531808 0.374204i
\(190\) 4.88501 15.0345i 0.354396 1.09072i
\(191\) 10.5754 3.43614i 0.765206 0.248630i 0.0996944 0.995018i \(-0.468213\pi\)
0.665511 + 0.746388i \(0.268213\pi\)
\(192\) −1.21823 + 1.23122i −0.0879184 + 0.0888558i
\(193\) −7.60485 10.4672i −0.547409 0.753444i 0.442249 0.896892i \(-0.354181\pi\)
−0.989658 + 0.143448i \(0.954181\pi\)
\(194\) −0.316329 0.973561i −0.0227111 0.0698976i
\(195\) 4.38688 28.6812i 0.314151 2.05390i
\(196\) 0.809017 + 0.587785i 0.0577869 + 0.0419847i
\(197\) 15.6454 1.11469 0.557344 0.830282i \(-0.311820\pi\)
0.557344 + 0.830282i \(0.311820\pi\)
\(198\) −4.33301 + 8.95684i −0.307933 + 0.636535i
\(199\) 11.9147 0.844610 0.422305 0.906454i \(-0.361221\pi\)
0.422305 + 0.906454i \(0.361221\pi\)
\(200\) 0.789576 + 0.573660i 0.0558314 + 0.0405639i
\(201\) −0.270714 + 1.76991i −0.0190947 + 0.124840i
\(202\) −4.00283 12.3194i −0.281638 0.866793i
\(203\) −3.29117 4.52990i −0.230995 0.317937i
\(204\) 2.05830 2.08024i 0.144110 0.145646i
\(205\) 21.0206 6.82999i 1.46814 0.477027i
\(206\) 0.879825 2.70782i 0.0613003 0.188663i
\(207\) −5.10328 + 16.2922i −0.354702 + 1.13239i
\(208\) 6.85257i 0.475140i
\(209\) 3.56801 + 21.1485i 0.246804 + 1.46288i
\(210\) 4.17844 0.684531i 0.288339 0.0472371i
\(211\) −4.81494 + 6.62720i −0.331474 + 0.456235i −0.941927 0.335817i \(-0.890987\pi\)
0.610453 + 0.792053i \(0.290987\pi\)
\(212\) 1.23934 + 0.402684i 0.0851179 + 0.0276565i
\(213\) −11.6832 + 6.03114i −0.800520 + 0.413247i
\(214\) 6.36332 4.62322i 0.434987 0.316037i
\(215\) 12.1969 8.86153i 0.831818 0.604351i
\(216\) 3.73222 + 3.61532i 0.253945 + 0.245992i
\(217\) 0.750040 + 0.243703i 0.0509160 + 0.0165436i
\(218\) −5.73009 + 7.88679i −0.388090 + 0.534161i
\(219\) −0.0319226 0.194858i −0.00215713 0.0131673i
\(220\) −8.02029 1.18772i −0.540728 0.0800763i
\(221\) 11.5779i 0.778816i
\(222\) −10.6243 5.34260i −0.713059 0.358572i
\(223\) −3.07683 + 9.46952i −0.206040 + 0.634126i 0.793629 + 0.608402i \(0.208189\pi\)
−0.999669 + 0.0257240i \(0.991811\pi\)
\(224\) −0.951057 + 0.309017i −0.0635451 + 0.0206471i
\(225\) 1.69576 2.38685i 0.113051 0.159123i
\(226\) 7.15917 + 9.85375i 0.476221 + 0.655462i
\(227\) 0.944859 + 2.90798i 0.0627125 + 0.193009i 0.977504 0.210917i \(-0.0676451\pi\)
−0.914791 + 0.403927i \(0.867645\pi\)
\(228\) 11.0718 + 1.69347i 0.733247 + 0.112153i
\(229\) −12.4393 9.03770i −0.822013 0.597228i 0.0952751 0.995451i \(-0.469627\pi\)
−0.917289 + 0.398223i \(0.869627\pi\)
\(230\) −13.9119 −0.917323
\(231\) −4.59504 + 3.44756i −0.302331 + 0.226833i
\(232\) 5.59927 0.367610
\(233\) −17.7401 12.8889i −1.16219 0.844381i −0.172137 0.985073i \(-0.555067\pi\)
−0.990053 + 0.140692i \(0.955067\pi\)
\(234\) 20.5566 0.218018i 1.34382 0.0142523i
\(235\) −3.82584 11.7747i −0.249571 0.768099i
\(236\) −8.04177 11.0685i −0.523475 0.720501i
\(237\) 12.8673 + 12.7316i 0.835824 + 0.827006i
\(238\) 1.60688 0.522107i 0.104159 0.0338432i
\(239\) 0.523908 1.61242i 0.0338888 0.104299i −0.932681 0.360702i \(-0.882537\pi\)
0.966570 + 0.256403i \(0.0825373\pi\)
\(240\) −1.90223 + 3.78278i −0.122788 + 0.244178i
\(241\) 27.1182i 1.74684i −0.486968 0.873420i \(-0.661897\pi\)
0.486968 0.873420i \(-0.338103\pi\)
\(242\) 10.3911 3.60894i 0.667967 0.231991i
\(243\) 10.7266 11.3110i 0.688113 0.725604i
\(244\) −5.87948 + 8.09241i −0.376395 + 0.518063i
\(245\) 2.32493 + 0.755417i 0.148535 + 0.0482618i
\(246\) 7.18342 + 13.9154i 0.457998 + 0.887210i
\(247\) 35.8501 26.0466i 2.28109 1.65731i
\(248\) −0.638022 + 0.463550i −0.0405144 + 0.0294355i
\(249\) 2.05471 + 3.98028i 0.130212 + 0.252240i
\(250\) −9.35560 3.03982i −0.591700 0.192255i
\(251\) −13.7703 + 18.9533i −0.869176 + 1.19632i 0.110126 + 0.993918i \(0.464874\pi\)
−0.979303 + 0.202401i \(0.935126\pi\)
\(252\) 0.957257 + 2.84318i 0.0603015 + 0.179103i
\(253\) 16.7304 8.73762i 1.05183 0.549330i
\(254\) 7.84218i 0.492062i
\(255\) 3.21395 6.39129i 0.201265 0.400238i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −11.2161 + 3.64432i −0.699640 + 0.227327i −0.637173 0.770720i \(-0.719897\pi\)
−0.0624661 + 0.998047i \(0.519897\pi\)
\(258\) 7.59316 + 7.51305i 0.472729 + 0.467742i
\(259\) −4.03565 5.55460i −0.250763 0.345146i
\(260\) 5.17655 + 15.9318i 0.321036 + 0.988047i
\(261\) −0.178143 16.7969i −0.0110268 1.03970i
\(262\) 13.7752 + 10.0083i 0.851033 + 0.618312i
\(263\) −19.8086 −1.22145 −0.610726 0.791842i \(-0.709122\pi\)
−0.610726 + 0.791842i \(0.709122\pi\)
\(264\) −0.0882381 5.74388i −0.00543068 0.353512i
\(265\) 3.18557 0.195688
\(266\) 5.23162 + 3.80100i 0.320771 + 0.233054i
\(267\) 20.1983 + 3.08939i 1.23612 + 0.189068i
\(268\) −0.319444 0.983149i −0.0195132 0.0600554i
\(269\) −14.0766 19.3748i −0.858268 1.18130i −0.981980 0.188986i \(-0.939480\pi\)
0.123712 0.992318i \(-0.460520\pi\)
\(270\) 11.4082 + 5.58600i 0.694283 + 0.339953i
\(271\) −21.0861 + 6.85128i −1.28089 + 0.416186i −0.868893 0.495001i \(-0.835168\pi\)
−0.411995 + 0.911186i \(0.635168\pi\)
\(272\) −0.522107 + 1.60688i −0.0316574 + 0.0974315i
\(273\) 10.6038 + 5.33226i 0.641770 + 0.322723i
\(274\) 0.630479i 0.0380886i
\(275\) −3.19182 + 0.538497i −0.192474 + 0.0324726i
\(276\) −1.59357 9.72729i −0.0959217 0.585514i
\(277\) 12.8606 17.7012i 0.772721 1.06356i −0.223327 0.974744i \(-0.571692\pi\)
0.996048 0.0888160i \(-0.0283083\pi\)
\(278\) 1.18245 + 0.384201i 0.0709186 + 0.0230428i
\(279\) 1.41087 + 1.89921i 0.0844667 + 0.113703i
\(280\) −1.97771 + 1.43689i −0.118191 + 0.0858705i
\(281\) 2.91966 2.12126i 0.174172 0.126544i −0.497284 0.867588i \(-0.665669\pi\)
0.671456 + 0.741044i \(0.265669\pi\)
\(282\) 7.79473 4.02382i 0.464169 0.239615i
\(283\) 6.66653 + 2.16609i 0.396284 + 0.128761i 0.500378 0.865807i \(-0.333194\pi\)
−0.104094 + 0.994567i \(0.533194\pi\)
\(284\) 4.46190 6.14128i 0.264765 0.364418i
\(285\) 27.0204 4.42662i 1.60055 0.262210i
\(286\) −16.2315 15.9083i −0.959791 0.940675i
\(287\) 9.04136i 0.533695i
\(288\) −2.86284 0.896741i −0.168695 0.0528409i
\(289\) −4.37115 + 13.4530i −0.257126 + 0.791354i
\(290\) 13.0179 4.22978i 0.764438 0.248381i
\(291\) 1.24706 1.26036i 0.0731040 0.0738834i
\(292\) 0.0670082 + 0.0922289i 0.00392136 + 0.00539729i
\(293\) 4.67047 + 14.3742i 0.272852 + 0.839751i 0.989780 + 0.142604i \(0.0455475\pi\)
−0.716928 + 0.697147i \(0.754452\pi\)
\(294\) −0.261877 + 1.71214i −0.0152730 + 0.0998540i
\(295\) −27.0579 19.6587i −1.57537 1.14458i
\(296\) 6.86586 0.399070
\(297\) −17.2279 + 0.447444i −0.999663 + 0.0259633i
\(298\) −19.9004 −1.15280
\(299\) −31.5496 22.9221i −1.82456 1.32562i
\(300\) −0.255584 + 1.67100i −0.0147562 + 0.0964750i
\(301\) 1.90576 + 5.86533i 0.109846 + 0.338072i
\(302\) −3.68171 5.06744i −0.211859 0.291599i
\(303\) 15.7803 15.9485i 0.906554 0.916220i
\(304\) −6.15014 + 1.99830i −0.352735 + 0.114610i
\(305\) −7.55625 + 23.2558i −0.432670 + 1.33162i
\(306\) 4.83698 + 1.51511i 0.276512 + 0.0866131i
\(307\) 2.78519i 0.158959i −0.996836 0.0794796i \(-0.974674\pi\)
0.996836 0.0794796i \(-0.0253258\pi\)
\(308\) 1.47592 2.97013i 0.0840982 0.169239i
\(309\) 4.86658 0.797266i 0.276850 0.0453549i
\(310\) −1.13319 + 1.55970i −0.0643606 + 0.0885848i
\(311\) −1.60899 0.522792i −0.0912374 0.0296448i 0.263043 0.964784i \(-0.415274\pi\)
−0.354280 + 0.935139i \(0.615274\pi\)
\(312\) −10.5466 + 5.44442i −0.597086 + 0.308229i
\(313\) −2.84236 + 2.06509i −0.160660 + 0.116726i −0.665210 0.746656i \(-0.731658\pi\)
0.504551 + 0.863382i \(0.331658\pi\)
\(314\) 10.7168 7.78620i 0.604783 0.439401i
\(315\) 4.37334 + 5.88707i 0.246410 + 0.331699i
\(316\) −9.93937 3.22950i −0.559133 0.181673i
\(317\) 6.23541 8.58231i 0.350216 0.482031i −0.597175 0.802111i \(-0.703710\pi\)
0.947390 + 0.320081i \(0.103710\pi\)
\(318\) 0.364898 + 2.22737i 0.0204625 + 0.124905i
\(319\) −12.9987 + 13.2629i −0.727787 + 0.742577i
\(320\) 2.44458i 0.136656i
\(321\) 12.1712 + 6.12046i 0.679330 + 0.341611i
\(322\) 1.75859 5.41238i 0.0980024 0.301620i
\(323\) 10.3911 3.37628i 0.578177 0.187861i
\(324\) −2.59899 + 8.61657i −0.144388 + 0.478698i
\(325\) 3.93105 + 5.41063i 0.218055 + 0.300127i
\(326\) −2.25640 6.94450i −0.124971 0.384620i
\(327\) −16.6910 2.55294i −0.923013 0.141178i
\(328\) −7.31461 5.31438i −0.403882 0.293437i
\(329\) 5.06455 0.279218
\(330\) −4.54417 13.2875i −0.250149 0.731452i
\(331\) −23.1537 −1.27264 −0.636320 0.771425i \(-0.719544\pi\)
−0.636320 + 0.771425i \(0.719544\pi\)
\(332\) −2.09224 1.52010i −0.114826 0.0834262i
\(333\) −0.218440 20.5964i −0.0119705 1.12868i
\(334\) 4.00776 + 12.3346i 0.219295 + 0.674921i
\(335\) −1.48537 2.04444i −0.0811546 0.111700i
\(336\) −1.23122 1.21823i −0.0671687 0.0664601i
\(337\) −28.9289 + 9.39956i −1.57586 + 0.512027i −0.960985 0.276601i \(-0.910792\pi\)
−0.614871 + 0.788628i \(0.710792\pi\)
\(338\) −10.4935 + 32.2957i −0.570772 + 1.75666i
\(339\) −9.47768 + 18.8474i −0.514757 + 1.02365i
\(340\) 4.13030i 0.223997i
\(341\) 0.383168 2.58740i 0.0207497 0.140116i
\(342\) 6.19024 + 18.3858i 0.334730 + 0.994191i
\(343\) −0.587785 + 0.809017i −0.0317374 + 0.0436828i
\(344\) −5.86533 1.90576i −0.316237 0.102752i
\(345\) −11.0531 21.4115i −0.595079 1.15276i
\(346\) 13.7907 10.0196i 0.741395 0.538655i
\(347\) 22.6140 16.4300i 1.21398 0.882009i 0.218395 0.975860i \(-0.429918\pi\)
0.995586 + 0.0938516i \(0.0299179\pi\)
\(348\) 4.44866 + 8.61770i 0.238473 + 0.461957i
\(349\) −15.8310 5.14379i −0.847412 0.275341i −0.147050 0.989129i \(-0.546978\pi\)
−0.700362 + 0.713788i \(0.746978\pi\)
\(350\) −0.573660 + 0.789576i −0.0306634 + 0.0422046i
\(351\) 16.6679 + 31.4649i 0.889665 + 1.67947i
\(352\) 1.53536 + 2.93984i 0.0818351 + 0.156694i
\(353\) 29.5840i 1.57460i 0.616571 + 0.787299i \(0.288521\pi\)
−0.616571 + 0.787299i \(0.711479\pi\)
\(354\) 10.6461 21.1709i 0.565834 1.12522i
\(355\) 5.73440 17.6487i 0.304350 0.936694i
\(356\) −11.2197 + 3.64551i −0.594644 + 0.193211i
\(357\) 2.08024 + 2.05830i 0.110098 + 0.108937i
\(358\) 3.26034 + 4.48747i 0.172314 + 0.237170i
\(359\) −1.43780 4.42509i −0.0758842 0.233547i 0.905918 0.423453i \(-0.139182\pi\)
−0.981802 + 0.189905i \(0.939182\pi\)
\(360\) −7.33333 + 0.0777754i −0.386500 + 0.00409912i
\(361\) 18.4597 + 13.4117i 0.971563 + 0.705882i
\(362\) 15.3937 0.809077
\(363\) 13.8103 + 13.1254i 0.724850 + 0.688906i
\(364\) −6.85257 −0.359172
\(365\) 0.225461 + 0.163807i 0.0118012 + 0.00857405i
\(366\) −17.1261 2.61950i −0.895197 0.136923i
\(367\) 8.06717 + 24.8282i 0.421103 + 1.29602i 0.906677 + 0.421826i \(0.138611\pi\)
−0.485574 + 0.874195i \(0.661389\pi\)
\(368\) 3.34504 + 4.60405i 0.174372 + 0.240003i
\(369\) −15.7095 + 22.1117i −0.817805 + 1.15109i
\(370\) 15.9627 5.18658i 0.829859 0.269638i
\(371\) −0.402684 + 1.23934i −0.0209063 + 0.0643431i
\(372\) −1.22035 0.613671i −0.0632723 0.0318174i
\(373\) 19.1643i 0.992288i 0.868240 + 0.496144i \(0.165251\pi\)
−0.868240 + 0.496144i \(0.834749\pi\)
\(374\) −2.59411 4.96708i −0.134138 0.256842i
\(375\) −2.75457 16.8142i −0.142246 0.868279i
\(376\) −2.97687 + 4.09731i −0.153520 + 0.211302i
\(377\) 36.4914 + 11.8568i 1.87940 + 0.610656i
\(378\) −3.61532 + 3.73222i −0.185952 + 0.191965i
\(379\) −2.13006 + 1.54758i −0.109414 + 0.0794936i −0.641147 0.767418i \(-0.721541\pi\)
0.531733 + 0.846912i \(0.321541\pi\)
\(380\) −12.7891 + 9.29184i −0.656068 + 0.476661i
\(381\) −12.0697 + 6.23067i −0.618351 + 0.319207i
\(382\) −10.5754 3.43614i −0.541082 0.175808i
\(383\) 6.08296 8.37247i 0.310825 0.427813i −0.624814 0.780774i \(-0.714825\pi\)
0.935638 + 0.352961i \(0.114825\pi\)
\(384\) 1.70927 0.280020i 0.0872256 0.0142897i
\(385\) 1.18772 8.02029i 0.0605320 0.408752i
\(386\) 12.9381i 0.658534i
\(387\) −5.53035 + 17.6556i −0.281124 + 0.897486i
\(388\) −0.316329 + 0.973561i −0.0160592 + 0.0494251i
\(389\) 12.7308 4.13649i 0.645478 0.209729i 0.0320590 0.999486i \(-0.489794\pi\)
0.613419 + 0.789757i \(0.289794\pi\)
\(390\) −20.4074 + 20.6250i −1.03337 + 1.04439i
\(391\) −5.65169 7.77888i −0.285818 0.393395i
\(392\) −0.309017 0.951057i −0.0156077 0.0480356i
\(393\) −4.45900 + 29.1527i −0.224927 + 1.47056i
\(394\) −12.6574 9.19613i −0.637670 0.463295i
\(395\) −25.5480 −1.28546
\(396\) 8.77018 4.69936i 0.440718 0.236152i
\(397\) 9.55818 0.479711 0.239856 0.970809i \(-0.422900\pi\)
0.239856 + 0.970809i \(0.422900\pi\)
\(398\) −9.63919 7.00328i −0.483169 0.351043i
\(399\) −1.69347 + 11.0718i −0.0847793 + 0.554283i
\(400\) −0.301591 0.928202i −0.0150796 0.0464101i
\(401\) −11.4308 15.7331i −0.570825 0.785674i 0.421827 0.906676i \(-0.361389\pi\)
−0.992652 + 0.121003i \(0.961389\pi\)
\(402\) 1.25934 1.27277i 0.0628102 0.0634799i
\(403\) −5.13970 + 1.66999i −0.256027 + 0.0831882i
\(404\) −4.00283 + 12.3194i −0.199148 + 0.612915i
\(405\) 0.466626 + 21.9963i 0.0231868 + 1.09300i
\(406\) 5.59927i 0.277887i
\(407\) −15.9391 + 16.2630i −0.790072 + 0.806127i
\(408\) −2.88793 + 0.473115i −0.142974 + 0.0234227i
\(409\) −2.14037 + 2.94597i −0.105835 + 0.145669i −0.858649 0.512564i \(-0.828696\pi\)
0.752814 + 0.658233i \(0.228696\pi\)
\(410\) −21.0206 6.82999i −1.03813 0.337309i
\(411\) 0.970356 0.500920i 0.0478641 0.0247086i
\(412\) −2.30341 + 1.67353i −0.113481 + 0.0824487i
\(413\) 11.0685 8.04177i 0.544648 0.395710i
\(414\) 13.7049 10.1810i 0.673561 0.500370i
\(415\) −6.01261 1.95362i −0.295148 0.0958993i
\(416\) 4.02784 5.54385i 0.197481 0.271810i
\(417\) 0.348149 + 2.12513i 0.0170489 + 0.104068i
\(418\) 9.54422 19.2068i 0.466823 0.939433i
\(419\) 21.8005i 1.06503i −0.846422 0.532513i \(-0.821248\pi\)
0.846422 0.532513i \(-0.178752\pi\)
\(420\) −3.78278 1.90223i −0.184581 0.0928191i
\(421\) −4.81466 + 14.8180i −0.234652 + 0.722184i 0.762515 + 0.646970i \(0.223964\pi\)
−0.997167 + 0.0752144i \(0.976036\pi\)
\(422\) 7.79074 2.53136i 0.379247 0.123225i
\(423\) 12.3859 + 8.79974i 0.602225 + 0.427858i
\(424\) −0.765951 1.05424i −0.0371979 0.0511985i
\(425\) 0.509561 + 1.56827i 0.0247173 + 0.0760721i
\(426\) 12.9969 + 1.98792i 0.629703 + 0.0963151i
\(427\) −8.09241 5.87948i −0.391619 0.284528i
\(428\) −7.86549 −0.380193
\(429\) 11.5880 37.6208i 0.559472 1.81635i
\(430\) −15.0761 −0.727036
\(431\) 13.4407 + 9.76525i 0.647416 + 0.470375i 0.862390 0.506244i \(-0.168967\pi\)
−0.214974 + 0.976620i \(0.568967\pi\)
\(432\) −0.894394 5.11860i −0.0430315 0.246269i
\(433\) 2.90462 + 8.93950i 0.139587 + 0.429605i 0.996275 0.0862296i \(-0.0274819\pi\)
−0.856688 + 0.515835i \(0.827482\pi\)
\(434\) −0.463550 0.638022i −0.0222511 0.0306260i
\(435\) 16.8528 + 16.6750i 0.808029 + 0.799505i
\(436\) 9.27147 3.01248i 0.444023 0.144272i
\(437\) 11.3722 34.9999i 0.544005 1.67427i
\(438\) −0.0887089 + 0.176407i −0.00423868 + 0.00842907i
\(439\) 7.73871i 0.369349i −0.982800 0.184674i \(-0.940877\pi\)
0.982800 0.184674i \(-0.0591230\pi\)
\(440\) 5.79042 + 5.67509i 0.276047 + 0.270549i
\(441\) −2.84318 + 0.957257i −0.135389 + 0.0455837i
\(442\) −6.80534 + 9.36674i −0.323697 + 0.445531i
\(443\) −12.3655 4.01780i −0.587503 0.190891i 0.000156063 1.00000i \(-0.499950\pi\)
−0.587659 + 0.809109i \(0.699950\pi\)
\(444\) 5.45497 + 10.5671i 0.258882 + 0.501492i
\(445\) −23.3312 + 16.9511i −1.10601 + 0.803560i
\(446\) 8.05525 5.85248i 0.381427 0.277123i
\(447\) −15.8110 30.6282i −0.747834 1.44866i
\(448\) 0.951057 + 0.309017i 0.0449332 + 0.0145997i
\(449\) 1.34634 1.85308i 0.0635378 0.0874523i −0.776066 0.630652i \(-0.782787\pi\)
0.839603 + 0.543200i \(0.182787\pi\)
\(450\) −2.77485 + 0.934254i −0.130808 + 0.0440411i
\(451\) 29.5689 4.98863i 1.39235 0.234905i
\(452\) 12.1799i 0.572895i
\(453\) 4.87404 9.69256i 0.229002 0.455396i
\(454\) 0.944859 2.90798i 0.0443444 0.136478i
\(455\) −15.9318 + 5.17655i −0.746893 + 0.242680i
\(456\) −7.96187 7.87788i −0.372849 0.368915i
\(457\) −0.00249035 0.00342767i −0.000116494 0.000160340i 0.808959 0.587865i \(-0.200032\pi\)
−0.809075 + 0.587705i \(0.800032\pi\)
\(458\) 4.75140 + 14.6233i 0.222018 + 0.683302i
\(459\) 1.51114 + 8.64825i 0.0705342 + 0.403666i
\(460\) 11.2550 + 8.17721i 0.524765 + 0.381264i
\(461\) 3.55278 0.165469 0.0827346 0.996572i \(-0.473635\pi\)
0.0827346 + 0.996572i \(0.473635\pi\)
\(462\) 5.74388 0.0882381i 0.267230 0.00410521i
\(463\) 12.9691 0.602725 0.301362 0.953510i \(-0.402559\pi\)
0.301362 + 0.953510i \(0.402559\pi\)
\(464\) −4.52990 3.29117i −0.210295 0.152789i
\(465\) −3.30082 0.504871i −0.153072 0.0234128i
\(466\) 6.77610 + 20.8547i 0.313897 + 0.966075i
\(467\) −0.0877085 0.120720i −0.00405866 0.00558627i 0.806983 0.590575i \(-0.201099\pi\)
−0.811042 + 0.584989i \(0.801099\pi\)
\(468\) −16.7588 11.9065i −0.774674 0.550376i
\(469\) 0.983149 0.319444i 0.0453976 0.0147506i
\(470\) −3.82584 + 11.7747i −0.176473 + 0.543128i
\(471\) 20.4981 + 10.3078i 0.944504 + 0.474957i
\(472\) 13.6815i 0.629741i
\(473\) 18.1305 9.46884i 0.833641 0.435378i
\(474\) −2.92645 17.8633i −0.134416 0.820489i
\(475\) −3.70965 + 5.10590i −0.170211 + 0.234275i
\(476\) −1.60688 0.522107i −0.0736513 0.0239307i
\(477\) −3.13818 + 2.33127i −0.143687 + 0.106741i
\(478\) −1.37161 + 0.996532i −0.0627359 + 0.0455803i
\(479\) 12.0900 8.78393i 0.552408 0.401348i −0.276265 0.961082i \(-0.589097\pi\)
0.828672 + 0.559734i \(0.189097\pi\)
\(480\) 3.76240 1.94224i 0.171729 0.0886505i
\(481\) 44.7461 + 14.5389i 2.04025 + 0.662916i
\(482\) −15.9397 + 21.9391i −0.726033 + 0.999299i
\(483\) 9.72729 1.59357i 0.442607 0.0725100i
\(484\) −10.5279 3.18806i −0.478540 0.144912i
\(485\) 2.50243i 0.113629i
\(486\) −15.3265 + 2.84588i −0.695223 + 0.129092i
\(487\) −10.3721 + 31.9219i −0.470003 + 1.44652i 0.382577 + 0.923924i \(0.375037\pi\)
−0.852580 + 0.522597i \(0.824963\pi\)
\(488\) 9.51319 3.09102i 0.430642 0.139924i
\(489\) 8.89539 8.99024i 0.402264 0.406553i
\(490\) −1.43689 1.97771i −0.0649120 0.0893437i
\(491\) 4.19669 + 12.9161i 0.189394 + 0.582895i 0.999996 0.00270204i \(-0.000860088\pi\)
−0.810602 + 0.585597i \(0.800860\pi\)
\(492\) 2.36773 15.4801i 0.106745 0.697895i
\(493\) 7.65360 + 5.56067i 0.344701 + 0.250440i
\(494\) −44.3131 −1.99374
\(495\) 16.8401 17.5508i 0.756906 0.788852i
\(496\) 0.788639 0.0354109
\(497\) 6.14128 + 4.46190i 0.275474 + 0.200144i
\(498\) 0.677252 4.42784i 0.0303484 0.198416i
\(499\) −10.2184 31.4489i −0.457437 1.40785i −0.868250 0.496127i \(-0.834755\pi\)
0.410813 0.911720i \(-0.365245\pi\)
\(500\) 5.78208 + 7.95835i 0.258583 + 0.355908i
\(501\) −15.7998 + 15.9682i −0.705881 + 0.713407i
\(502\) 22.2809 7.23950i 0.994444 0.323115i
\(503\) 5.58010 17.1738i 0.248805 0.765742i −0.746183 0.665741i \(-0.768116\pi\)
0.994987 0.100001i \(-0.0318845\pi\)
\(504\) 0.896741 2.86284i 0.0399440 0.127521i
\(505\) 31.6657i 1.40910i
\(506\) −18.6710 2.76499i −0.830028 0.122919i
\(507\) −58.0428 + 9.50885i −2.57777 + 0.422303i
\(508\) 4.60952 6.34446i 0.204514 0.281490i
\(509\) 6.11971 + 1.98841i 0.271251 + 0.0881349i 0.441484 0.897269i \(-0.354452\pi\)
−0.170233 + 0.985404i \(0.554452\pi\)
\(510\) −6.35685 + 3.28155i −0.281486 + 0.145310i
\(511\) −0.0922289 + 0.0670082i −0.00407997 + 0.00296427i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −23.3790 + 24.1349i −1.03221 + 1.06558i
\(514\) 11.2161 + 3.64432i 0.494720 + 0.160744i
\(515\) −4.09107 + 5.63087i −0.180274 + 0.248126i
\(516\) −1.72693 10.5413i −0.0760239 0.464056i
\(517\) −2.79440 16.5631i −0.122897 0.728446i
\(518\) 6.86586i 0.301669i
\(519\) 26.3777 + 13.2644i 1.15785 + 0.582243i
\(520\) 5.17655 15.9318i 0.227007 0.698655i
\(521\) 18.2045 5.91501i 0.797555 0.259141i 0.118237 0.992985i \(-0.462276\pi\)
0.679318 + 0.733844i \(0.262276\pi\)
\(522\) −9.72882 + 13.6936i −0.425819 + 0.599355i
\(523\) 17.4102 + 23.9631i 0.761294 + 1.04783i 0.997105 + 0.0760326i \(0.0242253\pi\)
−0.235811 + 0.971799i \(0.575775\pi\)
\(524\) −5.26165 16.1937i −0.229856 0.707425i
\(525\) −1.67100 0.255584i −0.0729282 0.0111546i
\(526\) 16.0255 + 11.6432i 0.698746 + 0.507669i
\(527\) −1.33246 −0.0580430
\(528\) −3.30478 + 4.69877i −0.143822 + 0.204488i
\(529\) −9.38653 −0.408110
\(530\) −2.57718 1.87243i −0.111945 0.0813331i
\(531\) 41.0421 0.435282i 1.78108 0.0188896i
\(532\) −1.99830 6.15014i −0.0866374 0.266642i
\(533\) −36.4172 50.1239i −1.57740 2.17111i
\(534\) −14.5249 14.3716i −0.628552 0.621921i
\(535\) −18.2867 + 5.94172i −0.790605 + 0.256883i
\(536\) −0.319444 + 0.983149i −0.0137979 + 0.0424655i
\(537\) −4.31620 + 8.58324i −0.186258 + 0.370394i
\(538\) 23.9486i 1.03250i
\(539\) 2.97013 + 1.47592i 0.127933 + 0.0635722i
\(540\) −5.94608 11.2248i −0.255879 0.483037i
\(541\) 1.41587 1.94878i 0.0608731 0.0837847i −0.777495 0.628889i \(-0.783510\pi\)
0.838368 + 0.545104i \(0.183510\pi\)
\(542\) 21.0861 + 6.85128i 0.905724 + 0.294288i
\(543\) 12.2304 + 23.6922i 0.524858 + 1.01673i
\(544\) 1.36689 0.993107i 0.0586051 0.0425791i
\(545\) 19.2799 14.0077i 0.825859 0.600022i
\(546\) −5.44442 10.5466i −0.233000 0.451354i
\(547\) 2.93829 + 0.954710i 0.125632 + 0.0408204i 0.371158 0.928570i \(-0.378961\pi\)
−0.245526 + 0.969390i \(0.578961\pi\)
\(548\) −0.370586 + 0.510068i −0.0158307 + 0.0217890i
\(549\) −9.57522 28.4396i −0.408660 1.21377i
\(550\) 2.89876 + 1.44045i 0.123603 + 0.0614210i
\(551\) 36.2084i 1.54253i
\(552\) −4.42833 + 8.80622i −0.188482 + 0.374818i
\(553\) 3.22950 9.93937i 0.137332 0.422665i
\(554\) −20.8090 + 6.76124i −0.884088 + 0.287258i
\(555\) 20.6650 + 20.4470i 0.877181 + 0.867927i
\(556\) −0.730794 1.00585i −0.0309926 0.0426576i
\(557\) −13.0949 40.3020i −0.554849 1.70765i −0.696341 0.717711i \(-0.745190\pi\)
0.141492 0.989939i \(-0.454810\pi\)
\(558\) −0.0250909 2.36578i −0.00106218 0.100152i
\(559\) −34.1899 24.8404i −1.44608 1.05064i
\(560\) 2.44458 0.103302
\(561\) 5.58368 7.93891i 0.235743 0.335181i
\(562\) −3.60890 −0.152232
\(563\) 21.5555 + 15.6610i 0.908456 + 0.660032i 0.940624 0.339451i \(-0.110241\pi\)
−0.0321679 + 0.999482i \(0.510241\pi\)
\(564\) −8.67121 1.32629i −0.365124 0.0558469i
\(565\) −9.20091 28.3175i −0.387085 1.19133i
\(566\) −4.12014 5.67089i −0.173182 0.238365i
\(567\) −8.61657 2.59899i −0.361862 0.109147i
\(568\) −7.21951 + 2.34576i −0.302924 + 0.0984260i
\(569\) 2.88942 8.89271i 0.121131 0.372802i −0.872046 0.489425i \(-0.837207\pi\)
0.993176 + 0.116623i \(0.0372069\pi\)
\(570\) −24.4619 12.3010i −1.02460 0.515232i
\(571\) 11.7998i 0.493804i −0.969040 0.246902i \(-0.920587\pi\)
0.969040 0.246902i \(-0.0794126\pi\)
\(572\) 3.78095 + 22.4107i 0.158089 + 0.937039i
\(573\) −3.11371 19.0063i −0.130077 0.794001i
\(574\) 5.31438 7.31461i 0.221818 0.305306i
\(575\) 5.28232 + 1.71633i 0.220288 + 0.0715759i
\(576\) 1.78900 + 2.40821i 0.0745415 + 0.100342i
\(577\) −12.2283 + 8.88435i −0.509069 + 0.369860i −0.812470 0.583002i \(-0.801878\pi\)
0.303401 + 0.952863i \(0.401878\pi\)
\(578\) 11.4438 8.31442i 0.476000 0.345834i
\(579\) −19.9128 + 10.2794i −0.827548 + 0.427199i
\(580\) −13.0179 4.22978i −0.540540 0.175632i
\(581\) 1.52010 2.09224i 0.0630643 0.0868005i
\(582\) −1.74971 + 0.286646i −0.0725279 + 0.0118819i
\(583\) 4.27531 + 0.633131i 0.177065 + 0.0262216i
\(584\) 0.114001i 0.00471740i
\(585\) −47.9573 15.0219i −1.98279 0.621079i
\(586\) 4.67047 14.3742i 0.192935 0.593794i
\(587\) −10.6792 + 3.46988i −0.440778 + 0.143217i −0.520995 0.853560i \(-0.674439\pi\)
0.0802165 + 0.996777i \(0.474439\pi\)
\(588\) 1.21823 1.23122i 0.0502391 0.0507747i
\(589\) −2.99761 4.12586i −0.123514 0.170003i
\(590\) 10.3352 + 31.8085i 0.425494 + 1.30954i
\(591\) 4.09717 26.7871i 0.168535 1.10187i
\(592\) −5.55460 4.03565i −0.228293 0.165864i
\(593\) −14.3949 −0.591129 −0.295565 0.955323i \(-0.595508\pi\)
−0.295565 + 0.955323i \(0.595508\pi\)
\(594\) 14.2006 + 9.76430i 0.582660 + 0.400634i
\(595\) −4.13030 −0.169326
\(596\) 16.0997 + 11.6971i 0.659471 + 0.479134i
\(597\) 3.12019 20.3996i 0.127701 0.834900i
\(598\) 12.0509 + 37.0887i 0.492796 + 1.51667i
\(599\) 21.9616 + 30.2276i 0.897327 + 1.23506i 0.971313 + 0.237805i \(0.0764280\pi\)
−0.0739859 + 0.997259i \(0.523572\pi\)
\(600\) 1.18896 1.20163i 0.0485390 0.0490565i
\(601\) 2.99070 0.971739i 0.121993 0.0396381i −0.247384 0.968917i \(-0.579571\pi\)
0.369377 + 0.929279i \(0.379571\pi\)
\(602\) 1.90576 5.86533i 0.0776730 0.239053i
\(603\) 2.95944 + 0.927000i 0.120518 + 0.0377503i
\(604\) 6.26370i 0.254867i
\(605\) −26.8849 + 0.540902i −1.09303 + 0.0219908i
\(606\) −22.1408 + 3.62722i −0.899410 + 0.147346i
\(607\) 26.6210 36.6406i 1.08051 1.48720i 0.221557 0.975147i \(-0.428886\pi\)
0.858955 0.512050i \(-0.171114\pi\)
\(608\) 6.15014 + 1.99830i 0.249421 + 0.0810418i
\(609\) −8.61770 + 4.44866i −0.349207 + 0.180269i
\(610\) 19.7825 14.3728i 0.800971 0.581940i
\(611\) −28.0771 + 20.3992i −1.13588 + 0.825263i
\(612\) −3.02264 4.06886i −0.122183 0.164474i
\(613\) −5.29933 1.72186i −0.214038 0.0695451i 0.200035 0.979789i \(-0.435894\pi\)
−0.414073 + 0.910244i \(0.635894\pi\)
\(614\) −1.63709 + 2.25327i −0.0660677 + 0.0909344i
\(615\) −6.18909 37.7787i −0.249568 1.52339i
\(616\) −2.93984 + 1.53536i −0.118450 + 0.0618615i
\(617\) 16.5004i 0.664279i −0.943230 0.332140i \(-0.892229\pi\)
0.943230 0.332140i \(-0.107771\pi\)
\(618\) −4.40576 2.21550i −0.177226 0.0891205i
\(619\) −4.67155 + 14.3776i −0.187766 + 0.577883i −0.999985 0.00546885i \(-0.998259\pi\)
0.812219 + 0.583352i \(0.198259\pi\)
\(620\) 1.83353 0.595751i 0.0736364 0.0239259i
\(621\) 26.5581 + 13.0041i 1.06574 + 0.521835i
\(622\) 0.994410 + 1.36869i 0.0398722 + 0.0548794i
\(623\) −3.64551 11.2197i −0.146054 0.449508i
\(624\) 11.7326 + 1.79453i 0.469678 + 0.0718388i
\(625\) 23.4027 + 17.0031i 0.936108 + 0.680122i
\(626\) 3.51335 0.140422
\(627\) 37.1436 0.570604i 1.48337 0.0227877i
\(628\) −13.2467 −0.528600
\(629\) 9.38491 + 6.81853i 0.374201 + 0.271873i
\(630\) −0.0777754 7.33333i −0.00309864 0.292167i
\(631\) 2.90419 + 8.93819i 0.115614 + 0.355824i 0.992075 0.125650i \(-0.0401016\pi\)
−0.876460 + 0.481474i \(0.840102\pi\)
\(632\) 6.14287 + 8.45493i 0.244350 + 0.336319i
\(633\) 10.0858 + 9.97936i 0.400873 + 0.396644i
\(634\) −10.0891 + 3.27815i −0.400690 + 0.130192i
\(635\) 5.92411 18.2325i 0.235091 0.723537i
\(636\) 1.01401 2.01646i 0.0402079 0.0799579i
\(637\) 6.85257i 0.271509i
\(638\) 18.3119 3.08943i 0.724974 0.122312i
\(639\) 7.26658 + 21.5827i 0.287462 + 0.853798i
\(640\) −1.43689 + 1.97771i −0.0567980 + 0.0781757i
\(641\) −12.7697 4.14913i −0.504373 0.163881i 0.0457687 0.998952i \(-0.485426\pi\)
−0.550142 + 0.835071i \(0.685426\pi\)
\(642\) −6.24919 12.1056i −0.246636 0.477770i
\(643\) 37.4732 27.2259i 1.47780 1.07368i 0.499542 0.866290i \(-0.333502\pi\)
0.978257 0.207394i \(-0.0664983\pi\)
\(644\) −4.60405 + 3.34504i −0.181425 + 0.131813i
\(645\) −11.9781 23.2033i −0.471637 0.913631i
\(646\) −10.3911 3.37628i −0.408833 0.132838i
\(647\) −15.7613 + 21.6936i −0.619640 + 0.852862i −0.997327 0.0730717i \(-0.976720\pi\)
0.377686 + 0.925934i \(0.376720\pi\)
\(648\) 7.16732 5.44330i 0.281559 0.213833i
\(649\) −32.4070 31.7616i −1.27209 1.24675i
\(650\) 6.68790i 0.262321i
\(651\) 0.613671 1.22035i 0.0240517 0.0478294i
\(652\) −2.25640 + 6.94450i −0.0883676 + 0.271968i
\(653\) 25.7723 8.37394i 1.00855 0.327698i 0.242273 0.970208i \(-0.422107\pi\)
0.766277 + 0.642511i \(0.222107\pi\)
\(654\) 12.0027 + 11.8761i 0.469343 + 0.464391i
\(655\) −24.4660 33.6745i −0.955964 1.31577i
\(656\) 2.79393 + 8.59884i 0.109085 + 0.335728i
\(657\) −0.341984 + 0.00362700i −0.0133421 + 0.000141503i
\(658\) −4.09731 2.97687i −0.159730 0.116050i
\(659\) 35.2260 1.37221 0.686104 0.727503i \(-0.259319\pi\)
0.686104 + 0.727503i \(0.259319\pi\)
\(660\) −4.13388 + 13.4208i −0.160911 + 0.522404i
\(661\) 30.9201 1.20265 0.601327 0.799003i \(-0.294639\pi\)
0.601327 + 0.799003i \(0.294639\pi\)
\(662\) 18.7317 + 13.6094i 0.728029 + 0.528944i
\(663\) −19.8230 3.03200i −0.769863 0.117753i
\(664\) 0.799163 + 2.45957i 0.0310135 + 0.0954498i
\(665\) −9.29184 12.7891i −0.360322 0.495941i
\(666\) −11.9296 + 16.7912i −0.462261 + 0.650648i
\(667\) 30.3054 9.84681i 1.17343 0.381270i
\(668\) 4.00776 12.3346i 0.155065 0.477241i
\(669\) 15.4074 + 7.74782i 0.595684 + 0.299548i
\(670\) 2.52707i 0.0976292i
\(671\) −14.7632 + 29.7095i −0.569929 + 1.14692i
\(672\) 0.280020 + 1.70927i 0.0108020 + 0.0659364i
\(673\) −7.02197 + 9.66491i −0.270677 + 0.372555i −0.922618 0.385715i \(-0.873955\pi\)
0.651941 + 0.758270i \(0.273955\pi\)
\(674\) 28.9289 + 9.39956i 1.11430 + 0.362057i
\(675\) −3.64253 3.52844i −0.140201 0.135810i
\(676\) 27.4724 19.9599i 1.05663 0.767687i
\(677\) 7.82771 5.68716i 0.300843 0.218575i −0.427114 0.904198i \(-0.640470\pi\)
0.727958 + 0.685622i \(0.240470\pi\)
\(678\) 18.7458 9.67702i 0.719929 0.371644i
\(679\) −0.973561 0.316329i −0.0373619 0.0121396i
\(680\) 2.42773 3.34148i 0.0930992 0.128140i
\(681\) 5.22630 0.856197i 0.200272 0.0328095i
\(682\) −1.83083 + 1.86803i −0.0701059 + 0.0715306i
\(683\) 26.4240i 1.01109i −0.862801 0.505544i \(-0.831292\pi\)
0.862801 0.505544i \(-0.168708\pi\)
\(684\) 5.79890 18.5130i 0.221726 0.707861i
\(685\) −0.476274 + 1.46582i −0.0181975 + 0.0560062i
\(686\) 0.951057 0.309017i 0.0363115 0.0117983i
\(687\) −18.7314 + 18.9311i −0.714646 + 0.722266i
\(688\) 3.62497 + 4.98935i 0.138201 + 0.190217i
\(689\) −2.75942 8.49263i −0.105126 0.323544i
\(690\) −3.64321 + 23.8191i −0.138695 + 0.906778i
\(691\) 24.4068 + 17.7326i 0.928479 + 0.674579i 0.945620 0.325274i \(-0.105456\pi\)
−0.0171410 + 0.999853i \(0.505456\pi\)
\(692\) −17.0463 −0.648003
\(693\) 4.69936 + 8.77018i 0.178514 + 0.333151i
\(694\) −27.9524 −1.06106
\(695\) −2.45888 1.78648i −0.0932708 0.0677652i
\(696\) 1.46632 9.58672i 0.0555807 0.363384i
\(697\) −4.72056 14.5284i −0.178804 0.550302i
\(698\) 9.78407 + 13.4666i 0.370332 + 0.509719i
\(699\) −26.7133 + 26.9981i −1.01039 + 1.02116i
\(700\) 0.928202 0.301591i 0.0350827 0.0113991i
\(701\) 2.36639 7.28299i 0.0893772 0.275075i −0.896370 0.443306i \(-0.853806\pi\)
0.985748 + 0.168231i \(0.0538055\pi\)
\(702\) 5.01002 35.2528i 0.189091 1.33053i
\(703\) 44.3990i 1.67454i
\(704\) 0.485860 3.28084i 0.0183115 0.123651i
\(705\) −21.1619 + 3.46684i −0.797003 + 0.130569i
\(706\) 17.3890 23.9340i 0.654445 0.900767i
\(707\) −12.3194 4.00283i −0.463320 0.150542i
\(708\) −21.0569 + 10.8700i −0.791365 + 0.408521i
\(709\) −18.1988 + 13.2222i −0.683469 + 0.496569i −0.874507 0.485014i \(-0.838815\pi\)
0.191038 + 0.981583i \(0.438815\pi\)
\(710\) −15.0129 + 10.9075i −0.563422 + 0.409350i
\(711\) 25.1679 18.6966i 0.943871 0.701176i
\(712\) 11.2197 + 3.64551i 0.420477 + 0.136621i
\(713\) −2.63803 + 3.63093i −0.0987948 + 0.135979i
\(714\) −0.473115 2.88793i −0.0177059 0.108078i
\(715\) 25.7199 + 49.2472i 0.961869 + 1.84174i
\(716\) 5.54682i 0.207294i
\(717\) −2.62349 1.31926i −0.0979761 0.0492687i
\(718\) −1.43780 + 4.42509i −0.0536582 + 0.165143i
\(719\) 17.4737 5.67754i 0.651658 0.211737i 0.0355131 0.999369i \(-0.488693\pi\)
0.616145 + 0.787633i \(0.288693\pi\)
\(720\) 5.97850 + 4.24750i 0.222806 + 0.158295i
\(721\) −1.67353 2.30341i −0.0623254 0.0857835i
\(722\) −7.05097 21.7007i −0.262410 0.807615i
\(723\) −46.4302 7.10165i −1.72676 0.264113i
\(724\) −12.4538 9.04821i −0.462842 0.336274i
\(725\) −5.46471 −0.202954
\(726\) −3.45780 18.7362i −0.128331 0.695364i
\(727\) 41.2564 1.53011 0.765057 0.643963i \(-0.222711\pi\)
0.765057 + 0.643963i \(0.222711\pi\)
\(728\) 5.54385 + 4.02784i 0.205469 + 0.149282i
\(729\) −16.5570 21.3276i −0.613223 0.789910i
\(730\) −0.0861184 0.265045i −0.00318738 0.00980976i
\(731\) −6.12466 8.42987i −0.226529 0.311790i
\(732\) 12.3156 + 12.1857i 0.455199 + 0.450396i
\(733\) −29.2033 + 9.48872i −1.07865 + 0.350474i −0.793850 0.608114i \(-0.791926\pi\)
−0.284797 + 0.958588i \(0.591926\pi\)
\(734\) 8.06717 24.8282i 0.297765 0.916425i
\(735\) 1.90223 3.78278i 0.0701646 0.139530i
\(736\) 5.69092i 0.209770i
\(737\) −1.58717 3.03904i −0.0584642 0.111945i
\(738\) 25.7062 8.65491i 0.946258 0.318592i
\(739\) −6.91915 + 9.52339i −0.254525 + 0.350324i −0.917090 0.398681i \(-0.869468\pi\)
0.662565 + 0.749005i \(0.269468\pi\)
\(740\) −15.9627 5.18658i −0.586799 0.190663i
\(741\) −35.2071 68.2013i −1.29336 2.50544i
\(742\) 1.05424 0.765951i 0.0387024 0.0281190i
\(743\) −12.7090 + 9.23363i −0.466248 + 0.338749i −0.795977 0.605327i \(-0.793043\pi\)
0.329729 + 0.944076i \(0.393043\pi\)
\(744\) 0.626579 + 1.21378i 0.0229715 + 0.0444992i
\(745\) 46.2670 + 15.0331i 1.69509 + 0.550769i
\(746\) 11.2645 15.5042i 0.412422 0.567650i
\(747\) 7.35287 2.47561i 0.269027 0.0905777i
\(748\) −0.820897 + 5.54323i −0.0300150 + 0.202681i
\(749\) 7.86549i 0.287399i
\(750\) −7.65461 + 15.2220i −0.279507 + 0.555830i
\(751\) −4.88687 + 15.0402i −0.178325 + 0.548826i −0.999770 0.0214610i \(-0.993168\pi\)
0.821445 + 0.570288i \(0.193168\pi\)
\(752\) 4.81667 1.56503i 0.175646 0.0570708i
\(753\) 28.8445 + 28.5402i 1.05115 + 1.04006i
\(754\) −22.5530 31.0415i −0.821330 1.13046i
\(755\) 4.73171 + 14.5627i 0.172204 + 0.529991i
\(756\) 5.11860 0.894394i 0.186162 0.0325288i
\(757\) 31.5210 + 22.9013i 1.14565 + 0.832363i 0.987896 0.155115i \(-0.0495749\pi\)
0.157753 + 0.987479i \(0.449575\pi\)
\(758\) 2.63289 0.0956310
\(759\) −10.5787 30.9329i −0.383983 1.12279i
\(760\) 15.8082 0.573424
\(761\) 30.5972 + 22.2302i 1.10915 + 0.805843i 0.982529 0.186109i \(-0.0595878\pi\)
0.126618 + 0.991952i \(0.459588\pi\)
\(762\) 13.4269 + 2.05369i 0.486405 + 0.0743973i
\(763\) 3.01248 + 9.27147i 0.109059 + 0.335650i
\(764\) 6.53593 + 8.99593i 0.236462 + 0.325462i
\(765\) −10.1011 7.17647i −0.365207 0.259466i
\(766\) −9.84243 + 3.19800i −0.355621 + 0.115548i
\(767\) −28.9714 + 89.1647i −1.04610 + 3.21955i
\(768\) −1.54742 0.778140i −0.0558376 0.0280787i
\(769\) 3.68574i 0.132911i 0.997789 + 0.0664557i \(0.0211691\pi\)
−0.997789 + 0.0664557i \(0.978831\pi\)
\(770\) −5.67509 + 5.79042i −0.204516 + 0.208672i
\(771\) 3.30235 + 20.1578i 0.118931 + 0.725967i
\(772\) 7.60485 10.4672i 0.273705 0.376722i
\(773\) −9.39362 3.05217i −0.337865 0.109779i 0.135170 0.990822i \(-0.456842\pi\)
−0.473036 + 0.881043i \(0.656842\pi\)
\(774\)