Properties

Label 648.2.bb.b.347.41
Level $648$
Weight $2$
Character 648.347
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 347.41
Character \(\chi\) \(=\) 648.347
Dual form 648.2.bb.b.155.41

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.440051 + 1.34401i) q^{2} +(0.652639 + 1.60439i) q^{3} +(-1.61271 - 1.18286i) q^{4} +(-0.484875 - 0.318908i) q^{5} +(-2.44350 + 0.171139i) q^{6} +(-3.43317 + 3.23903i) q^{7} +(2.29945 - 1.64698i) q^{8} +(-2.14813 + 2.09417i) q^{9} +O(q^{10})\) \(q+(-0.440051 + 1.34401i) q^{2} +(0.652639 + 1.60439i) q^{3} +(-1.61271 - 1.18286i) q^{4} +(-0.484875 - 0.318908i) q^{5} +(-2.44350 + 0.171139i) q^{6} +(-3.43317 + 3.23903i) q^{7} +(2.29945 - 1.64698i) q^{8} +(-2.14813 + 2.09417i) q^{9} +(0.641984 - 0.511341i) q^{10} +(0.127707 - 0.254285i) q^{11} +(0.845253 - 3.35940i) q^{12} +(-0.136627 - 0.0589351i) q^{13} +(-2.84251 - 6.03955i) q^{14} +(0.195203 - 0.986060i) q^{15} +(1.20167 + 3.81523i) q^{16} +(-2.86822 + 3.41821i) q^{17} +(-1.86930 - 3.80864i) q^{18} +(3.61268 - 3.03140i) q^{19} +(0.404740 + 1.08785i) q^{20} +(-7.43728 - 3.39422i) q^{21} +(0.285564 + 0.283537i) q^{22} +(2.17962 - 2.31026i) q^{23} +(4.14310 + 2.61433i) q^{24} +(-1.84700 - 4.28182i) q^{25} +(0.139332 - 0.157693i) q^{26} +(-4.76182 - 2.07969i) q^{27} +(9.36804 - 1.16265i) q^{28} +(-3.01492 - 0.352393i) q^{29} +(1.23937 + 0.696271i) q^{30} +(2.22088 - 9.37062i) q^{31} +(-5.65649 - 0.0638382i) q^{32} +(0.491319 + 0.0389350i) q^{33} +(-3.33194 - 5.35909i) q^{34} +(2.69761 - 0.475662i) q^{35} +(5.94142 - 0.836358i) q^{36} +(-7.26526 - 1.28106i) q^{37} +(2.48446 + 6.18943i) q^{38} +(0.00538677 - 0.257666i) q^{39} +(-1.64018 + 0.0652658i) q^{40} +(-5.85526 + 4.35908i) q^{41} +(7.83464 - 8.50213i) q^{42} +(0.465059 + 7.98476i) q^{43} +(-0.506738 + 0.259029i) q^{44} +(1.70942 - 0.330359i) q^{45} +(2.14586 + 3.94605i) q^{46} +(-5.66400 + 1.34239i) q^{47} +(-5.33685 + 4.41792i) q^{48} +(0.888336 - 15.2521i) q^{49} +(6.56757 - 0.598159i) q^{50} +(-7.35605 - 2.37088i) q^{51} +(0.150628 + 0.256656i) q^{52} +(-5.42400 + 9.39465i) q^{53} +(4.89056 - 5.48475i) q^{54} +(-0.143015 + 0.0825699i) q^{55} +(-2.55980 + 13.1023i) q^{56} +(7.22131 + 3.81773i) q^{57} +(1.80034 - 3.89700i) q^{58} +(5.20890 + 10.3718i) q^{59} +(-1.48118 + 1.35933i) q^{60} +(3.00680 + 0.900176i) q^{61} +(11.6169 + 7.10842i) q^{62} +(0.591794 - 14.1475i) q^{63} +(2.57494 - 7.57428i) q^{64} +(0.0474522 + 0.0721476i) q^{65} +(-0.268534 + 0.643202i) q^{66} +(-8.96293 + 1.04762i) q^{67} +(8.66888 - 2.11988i) q^{68} +(5.12905 + 1.98919i) q^{69} +(-0.547793 + 3.83492i) q^{70} +(9.37509 - 3.41225i) q^{71} +(-1.49046 + 8.35336i) q^{72} +(-2.48347 - 0.903910i) q^{73} +(4.91884 - 9.20083i) q^{74} +(5.66428 - 5.75778i) q^{75} +(-9.41193 + 0.615465i) q^{76} +(0.385198 + 1.28665i) q^{77} +(0.343935 + 0.120626i) q^{78} +(11.1550 + 8.30460i) q^{79} +(0.634044 - 2.23313i) q^{80} +(0.228883 - 8.99709i) q^{81} +(-3.28202 - 9.78773i) q^{82} +(-0.216629 - 0.161274i) q^{83} +(7.97929 + 14.2712i) q^{84} +(2.48082 - 0.742710i) q^{85} +(-10.9362 - 2.88866i) q^{86} +(-1.40228 - 5.06708i) q^{87} +(-0.125146 - 0.795046i) q^{88} +(-2.95794 + 8.12687i) q^{89} +(-0.308226 + 2.44285i) q^{90} +(0.659957 - 0.240205i) q^{91} +(-6.24781 + 1.14759i) q^{92} +(16.4835 - 2.55248i) q^{93} +(0.688261 - 8.20318i) q^{94} +(-2.71843 + 0.317739i) q^{95} +(-3.58923 - 9.11688i) q^{96} +(-1.70168 + 1.11921i) q^{97} +(20.1081 + 7.90564i) q^{98} +(0.258187 + 0.813676i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.440051 + 1.34401i −0.311163 + 0.950357i
\(3\) 0.652639 + 1.60439i 0.376801 + 0.926294i
\(4\) −1.61271 1.18286i −0.806355 0.591431i
\(5\) −0.484875 0.318908i −0.216843 0.142620i 0.436441 0.899733i \(-0.356239\pi\)
−0.653284 + 0.757113i \(0.726609\pi\)
\(6\) −2.44350 + 0.171139i −0.997556 + 0.0698672i
\(7\) −3.43317 + 3.23903i −1.29762 + 1.22424i −0.338587 + 0.940935i \(0.609949\pi\)
−0.959030 + 0.283303i \(0.908570\pi\)
\(8\) 2.29945 1.64698i 0.812978 0.582294i
\(9\) −2.14813 + 2.09417i −0.716042 + 0.698057i
\(10\) 0.641984 0.511341i 0.203013 0.161700i
\(11\) 0.127707 0.254285i 0.0385050 0.0766699i −0.873557 0.486721i \(-0.838193\pi\)
0.912063 + 0.410051i \(0.134489\pi\)
\(12\) 0.845253 3.35940i 0.244004 0.969774i
\(13\) −0.136627 0.0589351i −0.0378935 0.0163457i 0.377049 0.926193i \(-0.376939\pi\)
−0.414942 + 0.909848i \(0.636198\pi\)
\(14\) −2.84251 6.03955i −0.759693 1.61414i
\(15\) 0.195203 0.986060i 0.0504012 0.254600i
\(16\) 1.20167 + 3.81523i 0.300418 + 0.953808i
\(17\) −2.86822 + 3.41821i −0.695646 + 0.829038i −0.992026 0.126032i \(-0.959776\pi\)
0.296381 + 0.955070i \(0.404220\pi\)
\(18\) −1.86930 3.80864i −0.440598 0.897705i
\(19\) 3.61268 3.03140i 0.828805 0.695450i −0.126211 0.992003i \(-0.540282\pi\)
0.955016 + 0.296553i \(0.0958373\pi\)
\(20\) 0.404740 + 1.08785i 0.0905026 + 0.243250i
\(21\) −7.43728 3.39422i −1.62295 0.740680i
\(22\) 0.285564 + 0.283537i 0.0608824 + 0.0604503i
\(23\) 2.17962 2.31026i 0.454481 0.481722i −0.459096 0.888387i \(-0.651827\pi\)
0.913578 + 0.406664i \(0.133308\pi\)
\(24\) 4.14310 + 2.61433i 0.845707 + 0.533648i
\(25\) −1.84700 4.28182i −0.369399 0.856364i
\(26\) 0.139332 0.157693i 0.0273253 0.0309262i
\(27\) −4.76182 2.07969i −0.916412 0.400236i
\(28\) 9.36804 1.16265i 1.77039 0.219720i
\(29\) −3.01492 0.352393i −0.559856 0.0654378i −0.168541 0.985695i \(-0.553906\pi\)
−0.391315 + 0.920257i \(0.627980\pi\)
\(30\) 1.23937 + 0.696271i 0.226277 + 0.127121i
\(31\) 2.22088 9.37062i 0.398881 1.68301i −0.289111 0.957295i \(-0.593360\pi\)
0.687993 0.725718i \(-0.258492\pi\)
\(32\) −5.65649 0.0638382i −0.999936 0.0112851i
\(33\) 0.491319 + 0.0389350i 0.0855276 + 0.00677771i
\(34\) −3.33194 5.35909i −0.571423 0.919077i
\(35\) 2.69761 0.475662i 0.455980 0.0804015i
\(36\) 5.94142 0.836358i 0.990237 0.139393i
\(37\) −7.26526 1.28106i −1.19440 0.210605i −0.459124 0.888372i \(-0.651837\pi\)
−0.735277 + 0.677767i \(0.762948\pi\)
\(38\) 2.48446 + 6.18943i 0.403032 + 1.00406i
\(39\) 0.00538677 0.257666i 0.000862574 0.0412596i
\(40\) −1.64018 + 0.0652658i −0.259335 + 0.0103194i
\(41\) −5.85526 + 4.35908i −0.914438 + 0.680774i −0.947867 0.318667i \(-0.896765\pi\)
0.0334287 + 0.999441i \(0.489357\pi\)
\(42\) 7.83464 8.50213i 1.20891 1.31191i
\(43\) 0.465059 + 7.98476i 0.0709209 + 1.21766i 0.826626 + 0.562752i \(0.190257\pi\)
−0.755705 + 0.654912i \(0.772705\pi\)
\(44\) −0.506738 + 0.259029i −0.0763937 + 0.0390501i
\(45\) 1.70942 0.330359i 0.254825 0.0492471i
\(46\) 2.14586 + 3.94605i 0.316390 + 0.581813i
\(47\) −5.66400 + 1.34239i −0.826179 + 0.195808i −0.621892 0.783103i \(-0.713636\pi\)
−0.204287 + 0.978911i \(0.565488\pi\)
\(48\) −5.33685 + 4.41792i −0.770309 + 0.637671i
\(49\) 0.888336 15.2521i 0.126905 2.17888i
\(50\) 6.56757 0.598159i 0.928794 0.0845925i
\(51\) −7.35605 2.37088i −1.03005 0.331990i
\(52\) 0.150628 + 0.256656i 0.0208883 + 0.0355918i
\(53\) −5.42400 + 9.39465i −0.745044 + 1.29045i 0.205130 + 0.978735i \(0.434238\pi\)
−0.950174 + 0.311719i \(0.899095\pi\)
\(54\) 4.89056 5.48475i 0.665521 0.746379i
\(55\) −0.143015 + 0.0825699i −0.0192842 + 0.0111337i
\(56\) −2.55980 + 13.1023i −0.342068 + 1.75087i
\(57\) 7.22131 + 3.81773i 0.956486 + 0.505671i
\(58\) 1.80034 3.89700i 0.236396 0.511701i
\(59\) 5.20890 + 10.3718i 0.678141 + 1.35029i 0.924527 + 0.381117i \(0.124461\pi\)
−0.246386 + 0.969172i \(0.579243\pi\)
\(60\) −1.48118 + 1.35933i −0.191219 + 0.175489i
\(61\) 3.00680 + 0.900176i 0.384981 + 0.115256i 0.473444 0.880824i \(-0.343010\pi\)
−0.0884636 + 0.996079i \(0.528196\pi\)
\(62\) 11.6169 + 7.10842i 1.47535 + 0.902771i
\(63\) 0.591794 14.1475i 0.0745591 1.78242i
\(64\) 2.57494 7.57428i 0.321868 0.946785i
\(65\) 0.0474522 + 0.0721476i 0.00588572 + 0.00894881i
\(66\) −0.268534 + 0.643202i −0.0330542 + 0.0791727i
\(67\) −8.96293 + 1.04762i −1.09500 + 0.127987i −0.644361 0.764722i \(-0.722877\pi\)
−0.450635 + 0.892708i \(0.648802\pi\)
\(68\) 8.66888 2.11988i 1.05126 0.257073i
\(69\) 5.12905 + 1.98919i 0.617465 + 0.239470i
\(70\) −0.547793 + 3.83492i −0.0654738 + 0.458361i
\(71\) 9.37509 3.41225i 1.11262 0.404960i 0.280665 0.959806i \(-0.409445\pi\)
0.831953 + 0.554846i \(0.187223\pi\)
\(72\) −1.49046 + 8.35336i −0.175652 + 0.984452i
\(73\) −2.48347 0.903910i −0.290668 0.105795i 0.192571 0.981283i \(-0.438318\pi\)
−0.483239 + 0.875488i \(0.660540\pi\)
\(74\) 4.91884 9.20083i 0.571803 1.06957i
\(75\) 5.66428 5.75778i 0.654055 0.664851i
\(76\) −9.41193 + 0.615465i −1.07962 + 0.0705987i
\(77\) 0.385198 + 1.28665i 0.0438974 + 0.146627i
\(78\) 0.343935 + 0.120626i 0.0389429 + 0.0136582i
\(79\) 11.1550 + 8.30460i 1.25504 + 0.934340i 0.999473 0.0324521i \(-0.0103316\pi\)
0.255563 + 0.966792i \(0.417739\pi\)
\(80\) 0.634044 2.23313i 0.0708883 0.249672i
\(81\) 0.228883 8.99709i 0.0254315 0.999677i
\(82\) −3.28202 9.78773i −0.362439 1.08087i
\(83\) −0.216629 0.161274i −0.0237781 0.0177022i 0.585204 0.810886i \(-0.301014\pi\)
−0.608982 + 0.793184i \(0.708422\pi\)
\(84\) 7.97929 + 14.2712i 0.870612 + 1.55711i
\(85\) 2.48082 0.742710i 0.269083 0.0805582i
\(86\) −10.9362 2.88866i −1.17928 0.311492i
\(87\) −1.40228 5.06708i −0.150340 0.543248i
\(88\) −0.125146 0.795046i −0.0133406 0.0847522i
\(89\) −2.95794 + 8.12687i −0.313541 + 0.861446i 0.678394 + 0.734698i \(0.262676\pi\)
−0.991935 + 0.126748i \(0.959546\pi\)
\(90\) −0.308226 + 2.44285i −0.0324899 + 0.257499i
\(91\) 0.659957 0.240205i 0.0691823 0.0251803i
\(92\) −6.24781 + 1.14759i −0.651379 + 0.119645i
\(93\) 16.4835 2.55248i 1.70926 0.264680i
\(94\) 0.688261 8.20318i 0.0709887 0.846093i
\(95\) −2.71843 + 0.317739i −0.278905 + 0.0325994i
\(96\) −3.58923 9.11688i −0.366324 0.930487i
\(97\) −1.70168 + 1.11921i −0.172779 + 0.113639i −0.632953 0.774190i \(-0.718157\pi\)
0.460174 + 0.887829i \(0.347787\pi\)
\(98\) 20.1081 + 7.90564i 2.03122 + 0.798591i
\(99\) 0.258187 + 0.813676i 0.0259487 + 0.0817776i
\(100\) −2.08613 + 9.09008i −0.208613 + 0.909008i
\(101\) −1.35099 + 4.51262i −0.134428 + 0.449022i −0.998524 0.0543048i \(-0.982706\pi\)
0.864096 + 0.503327i \(0.167891\pi\)
\(102\) 6.42352 8.84328i 0.636023 0.875615i
\(103\) 2.54923 + 5.07593i 0.251183 + 0.500147i 0.983521 0.180795i \(-0.0578671\pi\)
−0.732338 + 0.680942i \(0.761571\pi\)
\(104\) −0.411232 + 0.0895029i −0.0403246 + 0.00877648i
\(105\) 2.52371 + 4.01758i 0.246289 + 0.392076i
\(106\) −10.2396 11.4240i −0.994561 1.10960i
\(107\) −16.9899 + 9.80913i −1.64248 + 0.948285i −0.662528 + 0.749037i \(0.730516\pi\)
−0.979949 + 0.199247i \(0.936150\pi\)
\(108\) 5.21945 + 8.98651i 0.502241 + 0.864727i
\(109\) 2.81496 + 1.62522i 0.269625 + 0.155668i 0.628717 0.777634i \(-0.283580\pi\)
−0.359092 + 0.933302i \(0.616914\pi\)
\(110\) −0.0480406 0.228549i −0.00458049 0.0217913i
\(111\) −2.68627 12.4924i −0.254969 1.18572i
\(112\) −16.4832 9.20609i −1.55752 0.869894i
\(113\) −12.8828 0.750337i −1.21191 0.0705858i −0.559747 0.828664i \(-0.689102\pi\)
−0.652164 + 0.758078i \(0.726139\pi\)
\(114\) −8.30880 + 8.02550i −0.778191 + 0.751657i
\(115\) −1.79360 + 0.425091i −0.167254 + 0.0396400i
\(116\) 4.44536 + 4.13454i 0.412741 + 0.383883i
\(117\) 0.416912 0.159520i 0.0385435 0.0147477i
\(118\) −16.2319 + 2.43669i −1.49427 + 0.224316i
\(119\) −1.22460 21.0256i −0.112259 1.92741i
\(120\) −1.17516 2.58889i −0.107277 0.236332i
\(121\) 6.52039 + 8.75841i 0.592763 + 0.796219i
\(122\) −2.53299 + 3.64503i −0.229326 + 0.330006i
\(123\) −10.8150 6.54921i −0.975158 0.590522i
\(124\) −14.6658 + 12.4851i −1.31703 + 1.12120i
\(125\) −0.973825 + 5.52284i −0.0871016 + 0.493977i
\(126\) 18.7539 + 7.02099i 1.67073 + 0.625480i
\(127\) −1.46519 + 0.258353i −0.130015 + 0.0229251i −0.238277 0.971197i \(-0.576583\pi\)
0.108262 + 0.994122i \(0.465471\pi\)
\(128\) 9.04678 + 6.79381i 0.799630 + 0.600493i
\(129\) −12.5071 + 5.95730i −1.10119 + 0.524511i
\(130\) −0.117848 + 0.0320275i −0.0103360 + 0.00280900i
\(131\) −0.432818 + 1.82620i −0.0378155 + 0.159556i −0.988677 0.150061i \(-0.952053\pi\)
0.950861 + 0.309617i \(0.100201\pi\)
\(132\) −0.746300 0.643953i −0.0649571 0.0560489i
\(133\) −2.58416 + 22.1089i −0.224075 + 1.91708i
\(134\) 2.53614 12.5072i 0.219089 1.08046i
\(135\) 1.64566 + 2.52697i 0.141636 + 0.217487i
\(136\) −0.965618 + 12.5839i −0.0828011 + 1.07906i
\(137\) 7.73289 3.33564i 0.660665 0.284983i −0.0392284 0.999230i \(-0.512490\pi\)
0.699894 + 0.714247i \(0.253231\pi\)
\(138\) −4.93052 + 6.01814i −0.419714 + 0.512298i
\(139\) 7.52977 7.98108i 0.638666 0.676947i −0.324490 0.945889i \(-0.605193\pi\)
0.963156 + 0.268942i \(0.0866741\pi\)
\(140\) −4.91311 2.42380i −0.415234 0.204848i
\(141\) −5.85026 8.21116i −0.492681 0.691504i
\(142\) 0.460579 + 14.1017i 0.0386509 + 1.18339i
\(143\) −0.0324345 + 0.0272158i −0.00271231 + 0.00227590i
\(144\) −10.5711 5.67908i −0.880924 0.473257i
\(145\) 1.34948 + 1.13235i 0.112068 + 0.0940363i
\(146\) 2.30771 2.94004i 0.190988 0.243319i
\(147\) 25.0501 8.52890i 2.06610 0.703452i
\(148\) 10.2014 + 10.6598i 0.838553 + 0.876229i
\(149\) −3.95086 + 9.15913i −0.323667 + 0.750345i 0.676240 + 0.736682i \(0.263608\pi\)
−0.999907 + 0.0136630i \(0.995651\pi\)
\(150\) 5.24593 + 10.1466i 0.428328 + 0.828462i
\(151\) −1.67087 + 3.32698i −0.135974 + 0.270746i −0.951306 0.308247i \(-0.900258\pi\)
0.815333 + 0.578993i \(0.196554\pi\)
\(152\) 3.31454 12.9205i 0.268844 1.04799i
\(153\) −0.997029 13.3493i −0.0806050 1.07923i
\(154\) −1.89877 0.0484827i −0.153008 0.00390685i
\(155\) −4.06521 + 3.83533i −0.326526 + 0.308061i
\(156\) −0.313471 + 0.409169i −0.0250978 + 0.0327598i
\(157\) −6.47908 + 9.85097i −0.517087 + 0.786193i −0.995778 0.0917906i \(-0.970741\pi\)
0.478691 + 0.877983i \(0.341111\pi\)
\(158\) −16.0702 + 11.3380i −1.27848 + 0.902001i
\(159\) −18.6126 2.57090i −1.47607 0.203885i
\(160\) 2.72234 + 1.83485i 0.215220 + 0.145058i
\(161\) 14.9914i 1.18148i
\(162\) 11.9914 + 4.26680i 0.942136 + 0.335231i
\(163\) 7.00989 0.549057 0.274529 0.961579i \(-0.411478\pi\)
0.274529 + 0.961579i \(0.411478\pi\)
\(164\) 14.5990 0.103967i 1.13999 0.00811847i
\(165\) −0.225812 0.175564i −0.0175794 0.0136676i
\(166\) 0.312082 0.220182i 0.0242222 0.0170894i
\(167\) −5.19278 3.41534i −0.401829 0.264287i 0.332469 0.943114i \(-0.392118\pi\)
−0.734298 + 0.678827i \(0.762489\pi\)
\(168\) −22.6919 + 4.44418i −1.75072 + 0.342876i
\(169\) −8.90595 9.43975i −0.685073 0.726135i
\(170\) −0.0934807 + 3.66107i −0.00716964 + 0.280792i
\(171\) −1.41222 + 14.0774i −0.107995 + 1.07652i
\(172\) 8.69487 13.4272i 0.662977 1.02382i
\(173\) 7.79714 + 3.91587i 0.592805 + 0.297718i 0.719796 0.694186i \(-0.244235\pi\)
−0.126990 + 0.991904i \(0.540532\pi\)
\(174\) 7.42727 + 0.345104i 0.563060 + 0.0261623i
\(175\) 20.2100 + 8.71774i 1.52773 + 0.658999i
\(176\) 1.12362 + 0.181663i 0.0846959 + 0.0136934i
\(177\) −13.2408 + 15.1261i −0.995241 + 1.13695i
\(178\) −9.62093 7.55172i −0.721119 0.566026i
\(179\) 10.6327 12.6716i 0.794726 0.947117i −0.204772 0.978810i \(-0.565645\pi\)
0.999498 + 0.0316924i \(0.0100897\pi\)
\(180\) −3.14757 1.48924i −0.234606 0.111001i
\(181\) −12.8721 15.3403i −0.956773 1.14024i −0.990039 0.140792i \(-0.955035\pi\)
0.0332658 0.999447i \(-0.489409\pi\)
\(182\) 0.0324223 + 0.992689i 0.00240330 + 0.0735830i
\(183\) 0.518120 + 5.41156i 0.0383006 + 0.400034i
\(184\) 1.20698 8.90210i 0.0889797 0.656271i
\(185\) 3.11420 + 2.93810i 0.228961 + 0.216013i
\(186\) −3.82304 + 23.2772i −0.280319 + 1.70677i
\(187\) 0.502909 + 1.16587i 0.0367764 + 0.0852572i
\(188\) 10.7223 + 4.53484i 0.782001 + 0.330737i
\(189\) 23.0843 8.28374i 1.67914 0.602553i
\(190\) 0.769205 3.79342i 0.0558040 0.275203i
\(191\) −9.82735 1.14865i −0.711082 0.0831136i −0.247141 0.968980i \(-0.579491\pi\)
−0.463941 + 0.885866i \(0.653565\pi\)
\(192\) 13.8326 0.812058i 0.998281 0.0586052i
\(193\) −6.27925 1.48821i −0.451991 0.107124i −0.00168564 0.999999i \(-0.500537\pi\)
−0.450305 + 0.892875i \(0.648685\pi\)
\(194\) −0.755405 2.77958i −0.0542349 0.199562i
\(195\) −0.0847836 + 0.123218i −0.00607148 + 0.00882383i
\(196\) −19.4738 + 23.5465i −1.39099 + 1.68189i
\(197\) −0.0509025 0.288682i −0.00362665 0.0205678i 0.982941 0.183923i \(-0.0588796\pi\)
−0.986567 + 0.163355i \(0.947768\pi\)
\(198\) −1.20720 0.0110540i −0.0857921 0.000785571i
\(199\) −23.2043 4.09154i −1.64491 0.290042i −0.726942 0.686699i \(-0.759059\pi\)
−0.917967 + 0.396657i \(0.870170\pi\)
\(200\) −11.2991 6.80387i −0.798969 0.481106i
\(201\) −7.53034 13.6963i −0.531149 0.966063i
\(202\) −5.47049 3.80152i −0.384902 0.267474i
\(203\) 11.4921 8.55558i 0.806590 0.600484i
\(204\) 9.05876 + 12.5247i 0.634240 + 0.876907i
\(205\) 4.22921 0.246324i 0.295381 0.0172040i
\(206\) −7.94388 + 1.19252i −0.553476 + 0.0830865i
\(207\) 0.155991 + 9.52721i 0.0108421 + 0.662187i
\(208\) 0.0606702 0.592084i 0.00420672 0.0410537i
\(209\) −0.309476 1.30578i −0.0214069 0.0903227i
\(210\) −6.51022 + 1.62395i −0.449248 + 0.112063i
\(211\) −0.0809058 + 1.38910i −0.00556978 + 0.0956295i −0.999947 0.0102633i \(-0.996733\pi\)
0.994378 + 0.105893i \(0.0337701\pi\)
\(212\) 19.8599 8.73500i 1.36399 0.599922i
\(213\) 11.5931 + 12.8143i 0.794348 + 0.878022i
\(214\) −5.70712 27.1511i −0.390131 1.85601i
\(215\) 2.32090 4.01992i 0.158284 0.274157i
\(216\) −14.3748 + 3.06045i −0.978078 + 0.208237i
\(217\) 22.7271 + 39.3644i 1.54281 + 2.67223i
\(218\) −3.42303 + 3.06815i −0.231837 + 0.207801i
\(219\) −0.170588 4.57438i −0.0115272 0.309108i
\(220\) 0.328311 + 0.0360060i 0.0221347 + 0.00242753i
\(221\) 0.593329 0.297981i 0.0399116 0.0200444i
\(222\) 17.9719 + 1.88691i 1.20620 + 0.126641i
\(223\) −3.85661 1.15459i −0.258258 0.0773173i 0.155057 0.987906i \(-0.450444\pi\)
−0.413315 + 0.910588i \(0.635629\pi\)
\(224\) 19.6265 18.1024i 1.31135 1.20952i
\(225\) 12.9344 + 5.32995i 0.862297 + 0.355330i
\(226\) 6.67754 16.9844i 0.444183 1.12978i
\(227\) 10.8427 + 16.4856i 0.719658 + 1.09419i 0.991279 + 0.131782i \(0.0420699\pi\)
−0.271621 + 0.962404i \(0.587560\pi\)
\(228\) −7.13004 14.6987i −0.472198 0.973446i
\(229\) −0.821038 7.02443i −0.0542557 0.464187i −0.992869 0.119215i \(-0.961962\pi\)
0.938613 0.344972i \(-0.112112\pi\)
\(230\) 0.217950 2.59767i 0.0143712 0.171286i
\(231\) −1.81289 + 1.45773i −0.119280 + 0.0959113i
\(232\) −7.51304 + 4.15518i −0.493255 + 0.272801i
\(233\) 0.634238 + 1.74255i 0.0415503 + 0.114158i 0.958733 0.284309i \(-0.0917643\pi\)
−0.917182 + 0.398468i \(0.869542\pi\)
\(234\) 0.0309341 + 0.630530i 0.00202223 + 0.0412190i
\(235\) 3.17443 + 1.15540i 0.207077 + 0.0753699i
\(236\) 3.86793 22.8881i 0.251781 1.48989i
\(237\) −6.04361 + 23.3169i −0.392575 + 1.51459i
\(238\) 28.7974 + 7.60644i 1.86666 + 0.493052i
\(239\) 1.59290 + 5.32065i 0.103036 + 0.344164i 0.993925 0.110056i \(-0.0351031\pi\)
−0.890889 + 0.454220i \(0.849918\pi\)
\(240\) 3.99662 0.440176i 0.257980 0.0284132i
\(241\) 10.2653 13.7887i 0.661248 0.888210i −0.337338 0.941384i \(-0.609526\pi\)
0.998585 + 0.0531740i \(0.0169338\pi\)
\(242\) −14.6407 + 4.90931i −0.941138 + 0.315583i
\(243\) 14.5842 5.50463i 0.935577 0.353122i
\(244\) −3.78431 5.00835i −0.242266 0.320627i
\(245\) −5.29475 + 7.11209i −0.338269 + 0.454375i
\(246\) 13.5613 11.6535i 0.864640 0.742999i
\(247\) −0.672245 + 0.201257i −0.0427739 + 0.0128057i
\(248\) −10.3264 25.2050i −0.655726 1.60052i
\(249\) 0.117366 0.452811i 0.00743778 0.0286957i
\(250\) −6.99420 3.73916i −0.442352 0.236485i
\(251\) −7.37959 + 20.2752i −0.465795 + 1.27976i 0.455270 + 0.890354i \(0.349543\pi\)
−0.921065 + 0.389409i \(0.872679\pi\)
\(252\) −17.6889 + 22.1158i −1.11430 + 1.39317i
\(253\) −0.309112 0.849280i −0.0194337 0.0533937i
\(254\) 0.297530 2.08292i 0.0186687 0.130694i
\(255\) 2.81068 + 3.49548i 0.176011 + 0.218896i
\(256\) −13.1120 + 9.16931i −0.819498 + 0.573082i
\(257\) −0.890110 7.61538i −0.0555235 0.475034i −0.992183 0.124792i \(-0.960174\pi\)
0.936659 0.350242i \(-0.113901\pi\)
\(258\) −2.50288 19.4312i −0.155822 1.20973i
\(259\) 29.0923 19.1343i 1.80771 1.18895i
\(260\) 0.00881398 0.172483i 0.000546620 0.0106969i
\(261\) 7.21439 5.55677i 0.446560 0.343956i
\(262\) −2.26397 1.38533i −0.139868 0.0855861i
\(263\) 8.70966 29.0923i 0.537061 1.79391i −0.0679478 0.997689i \(-0.521645\pi\)
0.605009 0.796219i \(-0.293170\pi\)
\(264\) 1.19389 0.719661i 0.0734787 0.0442921i
\(265\) 5.62599 2.82548i 0.345602 0.173568i
\(266\) −28.5773 13.2022i −1.75219 0.809476i
\(267\) −14.9691 + 0.558227i −0.916095 + 0.0341630i
\(268\) 15.6938 + 8.91241i 0.958651 + 0.544412i
\(269\) 7.89542 + 13.6753i 0.481392 + 0.833796i 0.999772 0.0213547i \(-0.00679791\pi\)
−0.518380 + 0.855151i \(0.673465\pi\)
\(270\) −4.12044 + 1.09978i −0.250762 + 0.0669307i
\(271\) 15.9717 + 9.22129i 0.970215 + 0.560154i 0.899302 0.437329i \(-0.144075\pi\)
0.0709129 + 0.997483i \(0.477409\pi\)
\(272\) −16.4879 6.83535i −0.999727 0.414454i
\(273\) 0.816095 + 0.902060i 0.0493923 + 0.0545952i
\(274\) 1.08026 + 11.8609i 0.0652612 + 0.716544i
\(275\) −1.32468 0.0771537i −0.0798810 0.00465254i
\(276\) −5.91874 9.27495i −0.356267 0.558286i
\(277\) 4.00166 + 16.8843i 0.240437 + 1.01448i 0.950594 + 0.310438i \(0.100476\pi\)
−0.710157 + 0.704043i \(0.751376\pi\)
\(278\) 7.41316 + 13.6321i 0.444612 + 0.817601i
\(279\) 14.8530 + 24.7802i 0.889224 + 1.48355i
\(280\) 5.41962 5.53666i 0.323884 0.330879i
\(281\) −4.36622 + 0.254303i −0.260467 + 0.0151705i −0.187881 0.982192i \(-0.560162\pi\)
−0.0725854 + 0.997362i \(0.523125\pi\)
\(282\) 13.6103 4.24947i 0.810480 0.253052i
\(283\) −16.6156 22.3187i −0.987698 1.32671i −0.944807 0.327629i \(-0.893751\pi\)
−0.0428912 0.999080i \(-0.513657\pi\)
\(284\) −19.1555 5.58646i −1.13667 0.331496i
\(285\) −2.28393 4.15405i −0.135288 0.246065i
\(286\) −0.0223054 0.0555686i −0.00131895 0.00328584i
\(287\) 5.98292 33.9308i 0.353161 2.00287i
\(288\) 12.2845 11.7085i 0.723874 0.689932i
\(289\) −0.505465 2.86663i −0.0297332 0.168626i
\(290\) −2.11572 + 1.31542i −0.124239 + 0.0772440i
\(291\) −2.90624 1.99972i −0.170367 0.117225i
\(292\) 2.93592 + 4.39535i 0.171812 + 0.257218i
\(293\) −17.9548 4.25537i −1.04893 0.248601i −0.330216 0.943905i \(-0.607122\pi\)
−0.718716 + 0.695304i \(0.755270\pi\)
\(294\) 0.439584 + 37.4207i 0.0256371 + 2.18242i
\(295\) 0.781969 6.69017i 0.0455280 0.389517i
\(296\) −18.8160 + 9.01997i −1.09366 + 0.524275i
\(297\) −1.13695 + 0.945269i −0.0659725 + 0.0548500i
\(298\) −10.5714 9.34047i −0.612382 0.541079i
\(299\) −0.433950 + 0.187188i −0.0250960 + 0.0108253i
\(300\) −15.9455 + 2.58557i −0.920615 + 0.149278i
\(301\) −27.4595 25.9067i −1.58274 1.49324i
\(302\) −3.73622 3.70971i −0.214995 0.213470i
\(303\) −8.12170 + 0.777598i −0.466580 + 0.0446719i
\(304\) 15.9067 + 10.1405i 0.912314 + 0.581595i
\(305\) −1.17085 1.39536i −0.0670426 0.0798983i
\(306\) 18.3803 + 4.53435i 1.05073 + 0.259212i
\(307\) −8.51647 7.14617i −0.486061 0.407853i 0.366551 0.930398i \(-0.380538\pi\)
−0.852612 + 0.522544i \(0.824983\pi\)
\(308\) 0.900718 2.53063i 0.0513232 0.144196i
\(309\) −6.48004 + 7.40271i −0.368637 + 0.421125i
\(310\) −3.36581 7.15141i −0.191165 0.406173i
\(311\) −7.97336 + 18.4843i −0.452128 + 1.04815i 0.527903 + 0.849304i \(0.322978\pi\)
−0.980031 + 0.198845i \(0.936281\pi\)
\(312\) −0.411983 0.601362i −0.0233240 0.0340454i
\(313\) 16.2185 + 8.14524i 0.916724 + 0.460396i 0.843628 0.536929i \(-0.180416\pi\)
0.0730964 + 0.997325i \(0.476712\pi\)
\(314\) −10.3886 13.0429i −0.586265 0.736051i
\(315\) −4.79869 + 6.67105i −0.270376 + 0.375871i
\(316\) −8.16661 26.5878i −0.459408 1.49568i
\(317\) 16.8914 + 17.9039i 0.948718 + 1.00558i 0.999976 + 0.00689716i \(0.00219545\pi\)
−0.0512580 + 0.998685i \(0.516323\pi\)
\(318\) 11.6458 23.8841i 0.653063 1.33935i
\(319\) −0.474634 + 0.721646i −0.0265744 + 0.0404044i
\(320\) −3.66402 + 2.85141i −0.204825 + 0.159399i
\(321\) −26.8259 20.8566i −1.49728 1.16410i
\(322\) −20.1485 6.59696i −1.12283 0.367634i
\(323\) 21.0436i 1.17090i
\(324\) −11.0114 + 14.2390i −0.611747 + 0.791054i
\(325\) 0.693865i 0.0384887i
\(326\) −3.08471 + 9.42135i −0.170846 + 0.521800i
\(327\) −0.770330 + 5.57697i −0.0425993 + 0.308407i
\(328\) −6.28458 + 19.6670i −0.347008 + 1.08593i
\(329\) 15.0974 22.9545i 0.832348 1.26552i
\(330\) 0.335328 0.226235i 0.0184592 0.0124539i
\(331\) 16.0830 + 17.0470i 0.884002 + 0.936988i 0.998406 0.0564468i \(-0.0179771\pi\)
−0.114403 + 0.993434i \(0.536496\pi\)
\(332\) 0.158595 + 0.516331i 0.00870401 + 0.0283374i
\(333\) 18.2894 12.4628i 1.00226 0.682959i
\(334\) 6.87533 5.47620i 0.376201 0.299645i
\(335\) 4.68000 + 2.35038i 0.255696 + 0.128415i
\(336\) 4.01257 32.4537i 0.218904 1.77049i
\(337\) 14.0579 32.5898i 0.765781 1.77528i 0.147910 0.989001i \(-0.452746\pi\)
0.617871 0.786279i \(-0.287995\pi\)
\(338\) 16.6062 7.81569i 0.903256 0.425117i
\(339\) −7.20398 21.1587i −0.391266 1.14918i
\(340\) −4.87937 1.73670i −0.264621 0.0941856i
\(341\) −2.09919 1.76143i −0.113677 0.0953867i
\(342\) −18.2987 8.09279i −0.989478 0.437608i
\(343\) 25.1148 + 29.9307i 1.35607 + 1.61611i
\(344\) 14.2201 + 17.5946i 0.766696 + 0.948638i
\(345\) −1.85258 2.60020i −0.0997398 0.139990i
\(346\) −8.69409 + 8.75623i −0.467397 + 0.470738i
\(347\) 3.94840 + 3.72512i 0.211961 + 0.199975i 0.784899 0.619624i \(-0.212715\pi\)
−0.572938 + 0.819599i \(0.694196\pi\)
\(348\) −3.73220 + 9.83044i −0.200067 + 0.526967i
\(349\) 0.875879 0.377817i 0.0468847 0.0202241i −0.372508 0.928029i \(-0.621502\pi\)
0.419393 + 0.907805i \(0.362243\pi\)
\(350\) −20.6101 + 23.3261i −1.10166 + 1.24683i
\(351\) 0.528026 + 0.564780i 0.0281839 + 0.0301457i
\(352\) −0.738606 + 1.43021i −0.0393678 + 0.0762304i
\(353\) 3.18022 27.2085i 0.169266 1.44816i −0.595240 0.803548i \(-0.702943\pi\)
0.764506 0.644616i \(-0.222983\pi\)
\(354\) −14.5030 24.4520i −0.770825 1.29961i
\(355\) −5.63394 1.33527i −0.299019 0.0708687i
\(356\) 14.3833 9.60745i 0.762311 0.509194i
\(357\) 32.9339 15.6868i 1.74305 0.830235i
\(358\) 12.3517 + 19.8666i 0.652810 + 1.04998i
\(359\) −3.71352 21.0604i −0.195992 1.11153i −0.910999 0.412409i \(-0.864687\pi\)
0.715007 0.699118i \(-0.246424\pi\)
\(360\) 3.38663 3.57502i 0.178491 0.188420i
\(361\) 0.562759 3.19157i 0.0296189 0.167977i
\(362\) 26.2819 10.5496i 1.38135 0.554476i
\(363\) −9.79643 + 16.1773i −0.514179 + 0.849089i
\(364\) −1.34845 0.393257i −0.0706779 0.0206123i
\(365\) 0.915911 + 1.23028i 0.0479410 + 0.0643959i
\(366\) −7.50117 1.68500i −0.392093 0.0880765i
\(367\) 18.3642 1.06959i 0.958604 0.0558323i 0.428297 0.903638i \(-0.359114\pi\)
0.530307 + 0.847806i \(0.322077\pi\)
\(368\) 11.4334 + 5.53956i 0.596005 + 0.288770i
\(369\) 3.44917 21.6258i 0.179556 1.12579i
\(370\) −5.31924 + 2.89260i −0.276534 + 0.150379i
\(371\) −11.8080 49.8219i −0.613042 2.58663i
\(372\) −29.6024 15.3814i −1.53481 0.797486i
\(373\) −8.81867 0.513629i −0.456613 0.0265947i −0.171703 0.985149i \(-0.554927\pi\)
−0.284911 + 0.958554i \(0.591964\pi\)
\(374\) −1.78825 + 0.162870i −0.0924682 + 0.00842179i
\(375\) −9.49633 + 2.04202i −0.490388 + 0.105450i
\(376\) −10.8132 + 12.4152i −0.557648 + 0.640267i
\(377\) 0.391151 + 0.225831i 0.0201453 + 0.0116309i
\(378\) 0.975138 + 34.6707i 0.0501557 + 1.78327i
\(379\) 8.57344 + 14.8496i 0.440388 + 0.762775i 0.997718 0.0675163i \(-0.0215075\pi\)
−0.557330 + 0.830291i \(0.688174\pi\)
\(380\) 4.75989 + 2.70311i 0.244177 + 0.138667i
\(381\) −1.37074 2.18212i −0.0702251 0.111794i
\(382\) 5.86833 12.7026i 0.300250 0.649920i
\(383\) −21.0312 + 10.5622i −1.07464 + 0.539705i −0.895930 0.444196i \(-0.853489\pi\)
−0.178712 + 0.983901i \(0.557193\pi\)
\(384\) −4.99563 + 18.9484i −0.254932 + 0.966959i
\(385\) 0.223550 0.746708i 0.0113931 0.0380558i
\(386\) 4.76335 7.78447i 0.242448 0.396219i
\(387\) −17.7205 16.1784i −0.900782 0.822392i
\(388\) 4.06819 + 0.207887i 0.206531 + 0.0105539i
\(389\) 8.69395 5.71810i 0.440801 0.289919i −0.309644 0.950853i \(-0.600210\pi\)
0.750444 + 0.660933i \(0.229839\pi\)
\(390\) −0.128297 0.168172i −0.00649657 0.00851572i
\(391\) 1.64533 + 14.0767i 0.0832080 + 0.711890i
\(392\) −23.0772 36.5346i −1.16558 1.84528i
\(393\) −3.21241 + 0.497442i −0.162045 + 0.0250926i
\(394\) 0.410391 + 0.0586215i 0.0206752 + 0.00295331i
\(395\) −2.76039 7.58411i −0.138890 0.381598i
\(396\) 0.546087 1.61762i 0.0274419 0.0812887i
\(397\) 3.09003 8.48978i 0.155084 0.426090i −0.837682 0.546159i \(-0.816089\pi\)
0.992766 + 0.120069i \(0.0383117\pi\)
\(398\) 15.7101 29.3862i 0.787477 1.47300i
\(399\) −37.1577 + 10.2831i −1.86021 + 0.514800i
\(400\) 14.1166 12.1921i 0.705832 0.609603i
\(401\) 21.0544 6.30329i 1.05141 0.314771i 0.285942 0.958247i \(-0.407693\pi\)
0.765467 + 0.643476i \(0.222508\pi\)
\(402\) 21.7217 4.09376i 1.08338 0.204178i
\(403\) −0.855691 + 1.14939i −0.0426250 + 0.0572553i
\(404\) 7.51656 5.67952i 0.373963 0.282566i
\(405\) −2.98022 + 4.28947i −0.148088 + 0.213146i
\(406\) 6.44164 + 19.2104i 0.319693 + 0.953397i
\(407\) −1.25358 + 1.68385i −0.0621375 + 0.0834652i
\(408\) −20.8197 + 6.66351i −1.03073 + 0.329893i
\(409\) −0.463564 1.54841i −0.0229218 0.0765640i 0.945763 0.324856i \(-0.105316\pi\)
−0.968685 + 0.248292i \(0.920131\pi\)
\(410\) −1.53001 + 5.79249i −0.0755617 + 0.286071i
\(411\) 10.3985 + 10.2296i 0.512918 + 0.504588i
\(412\) 1.89296 11.2014i 0.0932595 0.551853i
\(413\) −51.4775 18.7363i −2.53304 0.921952i
\(414\) −12.8733 3.98280i −0.632688 0.195744i
\(415\) 0.0536065 + 0.147283i 0.00263144 + 0.00722982i
\(416\) 0.769067 + 0.342088i 0.0377066 + 0.0167723i
\(417\) 17.7190 + 6.87190i 0.867702 + 0.336519i
\(418\) 1.89116 + 0.158672i 0.0924998 + 0.00776090i
\(419\) −2.67333 22.8718i −0.130601 1.11736i −0.886519 0.462693i \(-0.846883\pi\)
0.755918 0.654666i \(-0.227191\pi\)
\(420\) 0.682229 9.46440i 0.0332894 0.461816i
\(421\) −10.8129 16.4401i −0.526986 0.801243i 0.469680 0.882837i \(-0.344369\pi\)
−0.996666 + 0.0815935i \(0.973999\pi\)
\(422\) −1.83136 0.720012i −0.0891490 0.0350496i
\(423\) 9.35578 14.7450i 0.454893 0.716927i
\(424\) 3.00053 + 30.5357i 0.145719 + 1.48295i
\(425\) 19.9338 + 5.96778i 0.966929 + 0.289480i
\(426\) −22.3241 + 9.94229i −1.08161 + 0.481706i
\(427\) −13.2385 + 6.64865i −0.640658 + 0.321751i
\(428\) 39.0027 + 4.27744i 1.88527 + 0.206758i
\(429\) −0.0648327 0.0342755i −0.00313015 0.00165484i
\(430\) 4.38149 + 4.88828i 0.211294 + 0.235734i
\(431\) 12.9671 + 22.4597i 0.624603 + 1.08184i 0.988617 + 0.150451i \(0.0480725\pi\)
−0.364014 + 0.931393i \(0.618594\pi\)
\(432\) 2.21235 20.6665i 0.106442 0.994319i
\(433\) −7.57135 + 13.1140i −0.363856 + 0.630217i −0.988592 0.150619i \(-0.951873\pi\)
0.624736 + 0.780836i \(0.285207\pi\)
\(434\) −62.9072 + 13.2230i −3.01964 + 0.634724i
\(435\) −0.936002 + 2.90410i −0.0448779 + 0.139241i
\(436\) −2.61731 5.95072i −0.125346 0.284988i
\(437\) 0.870942 14.9535i 0.0416628 0.715323i
\(438\) 6.22307 + 1.78369i 0.297350 + 0.0852279i
\(439\) 3.07513 + 12.9750i 0.146768 + 0.619263i 0.995851 + 0.0910030i \(0.0290073\pi\)
−0.849083 + 0.528260i \(0.822845\pi\)
\(440\) −0.192866 + 0.425408i −0.00919452 + 0.0202805i
\(441\) 30.0324 + 34.6238i 1.43011 + 1.64875i
\(442\) 0.139394 + 0.928565i 0.00663029 + 0.0441673i
\(443\) 32.4218 1.88835i 1.54040 0.0897183i 0.733209 0.680003i \(-0.238022\pi\)
0.807195 + 0.590285i \(0.200985\pi\)
\(444\) −10.4446 + 23.3241i −0.495678 + 1.10691i
\(445\) 4.02595 2.99721i 0.190848 0.142081i
\(446\) 3.24889 4.67523i 0.153839 0.221379i
\(447\) −17.2733 0.361115i −0.816998 0.0170802i
\(448\) 15.6931 + 34.3441i 0.741429 + 1.62261i
\(449\) −12.1280 2.13850i −0.572357 0.100922i −0.120024 0.992771i \(-0.538297\pi\)
−0.452333 + 0.891849i \(0.649408\pi\)
\(450\) −12.8553 + 15.0385i −0.606005 + 0.708924i
\(451\) 0.360693 + 2.04559i 0.0169844 + 0.0963231i
\(452\) 19.8887 + 16.4486i 0.935484 + 0.773679i
\(453\) −6.42825 0.509412i −0.302026 0.0239343i
\(454\) −26.9281 + 7.31823i −1.26380 + 0.343461i
\(455\) −0.396600 0.0939959i −0.0185929 0.00440659i
\(456\) 22.8928 3.11464i 1.07205 0.145856i
\(457\) 13.3429 + 1.55957i 0.624156 + 0.0729534i 0.422292 0.906460i \(-0.361226\pi\)
0.201865 + 0.979413i \(0.435300\pi\)
\(458\) 9.80218 + 1.98762i 0.458026 + 0.0928755i
\(459\) 20.7668 10.3119i 0.969309 0.481318i
\(460\) 3.39538 + 1.43603i 0.158311 + 0.0669554i
\(461\) 2.56735 + 5.95179i 0.119573 + 0.277202i 0.967482 0.252940i \(-0.0813976\pi\)
−0.847908 + 0.530143i \(0.822138\pi\)
\(462\) −1.16143 3.07801i −0.0540346 0.143202i
\(463\) −0.234773 0.221497i −0.0109108 0.0102938i 0.680767 0.732500i \(-0.261647\pi\)
−0.691678 + 0.722206i \(0.743128\pi\)
\(464\) −2.27848 11.9261i −0.105776 0.553654i
\(465\) −8.80647 4.01909i −0.408390 0.186381i
\(466\) −2.62110 + 0.0856081i −0.121420 + 0.00396572i
\(467\) 18.2167 + 21.7098i 0.842967 + 1.00461i 0.999856 + 0.0169926i \(0.00540918\pi\)
−0.156889 + 0.987616i \(0.550146\pi\)
\(468\) −0.861050 0.235889i −0.0398020 0.0109040i
\(469\) 27.3780 32.6278i 1.26420 1.50661i
\(470\) −2.94978 + 3.75803i −0.136063 + 0.173345i
\(471\) −20.0333 3.96584i −0.923085 0.182736i
\(472\) 29.0597 + 15.2704i 1.33758 + 0.702879i
\(473\) 2.08980 + 0.901451i 0.0960890 + 0.0414487i
\(474\) −28.6786 18.3833i −1.31725 0.844371i
\(475\) −19.6525 9.86985i −0.901718 0.452860i
\(476\) −22.8954 + 35.3567i −1.04941 + 1.62057i
\(477\) −8.02258 31.5397i −0.367328 1.44410i
\(478\) −7.85195 0.200489i −0.359140 0.00917016i
\(479\) 17.2550 + 18.2892i 0.788399 + 0.835654i 0.989593 0.143897i \(-0.0459636\pi\)
−0.201194 + 0.979551i \(0.564482\pi\)
\(480\) −1.16711 + 5.56518i −0.0532712 + 0.254015i
\(481\) 0.917131 + 0.603207i 0.0418176 + 0.0275039i
\(482\) 14.0149 + 19.8644i 0.638360 + 0.904799i
\(483\) −24.0520 + 9.78394i −1.09440 + 0.445185i
\(484\) −0.155516 21.8375i −0.00706891 0.992614i
\(485\) 1.18203 0.0536731
\(486\) 0.980476 + 22.0236i 0.0444753 + 0.999010i
\(487\) 6.94694i 0.314796i 0.987535 + 0.157398i \(0.0503105\pi\)
−0.987535 + 0.157398i \(0.949689\pi\)
\(488\) 8.39655 2.88221i 0.380094 0.130472i
\(489\) 4.57493 + 11.2466i 0.206885 + 0.508588i
\(490\) −7.22874 10.2459i −0.326561 0.462861i
\(491\) 1.63312 2.48303i 0.0737015 0.112058i −0.796756 0.604301i \(-0.793453\pi\)
0.870458 + 0.492243i \(0.163823\pi\)
\(492\) 9.69470 + 23.3547i 0.437071 + 1.05291i
\(493\) 9.85200 9.29488i 0.443712 0.418621i
\(494\) 0.0253311 0.992065i 0.00113970 0.0446351i
\(495\) 0.134299 0.476869i 0.00603630 0.0214337i
\(496\) 38.4198 2.78726i 1.72510 0.125151i
\(497\) −21.1339 + 42.0810i −0.947985 + 1.88759i
\(498\) 0.556934 + 0.357001i 0.0249568 + 0.0159976i
\(499\) −8.36576 + 19.3940i −0.374503 + 0.868195i 0.621872 + 0.783119i \(0.286373\pi\)
−0.996374 + 0.0850759i \(0.972887\pi\)
\(500\) 8.10325 7.75484i 0.362389 0.346807i
\(501\) 2.09053 10.5602i 0.0933980 0.471796i
\(502\) −24.0027 18.8404i −1.07129 0.840886i
\(503\) 9.43023 + 7.91290i 0.420473 + 0.352819i 0.828343 0.560221i \(-0.189284\pi\)
−0.407870 + 0.913040i \(0.633728\pi\)
\(504\) −21.9398 33.5061i −0.977275 1.49248i
\(505\) 2.09417 1.75722i 0.0931893 0.0781951i
\(506\) 1.27746 0.0417234i 0.0567902 0.00185483i
\(507\) 9.33266 20.4493i 0.414478 0.908188i
\(508\) 2.66853 + 1.31647i 0.118397 + 0.0584090i
\(509\) −16.1839 + 17.1539i −0.717339 + 0.760335i −0.978787 0.204882i \(-0.934319\pi\)
0.261447 + 0.965218i \(0.415800\pi\)
\(510\) −5.93479 + 2.23938i −0.262797 + 0.0991614i
\(511\) 11.4540 4.94076i 0.506694 0.218566i
\(512\) −6.55370 21.6575i −0.289635 0.957137i
\(513\) −23.5073 + 6.92171i −1.03787 + 0.305601i
\(514\) 10.6268 + 2.15484i 0.468729 + 0.0950458i
\(515\) 0.382695 3.27416i 0.0168635 0.144277i
\(516\) 27.2171 + 5.18683i 1.19816 + 0.228337i
\(517\) −0.381981 + 1.61170i −0.0167995 + 0.0708826i
\(518\) 12.9146 + 47.5203i 0.567433 + 2.08792i
\(519\) −1.19386 + 15.0653i −0.0524047 + 0.661293i
\(520\) 0.227939 + 0.0877471i 0.00999580 + 0.00384797i
\(521\) −30.1928 + 5.32381i −1.32277 + 0.233240i −0.790046 0.613047i \(-0.789943\pi\)
−0.532726 + 0.846288i \(0.678832\pi\)
\(522\) 4.29364 + 12.1415i 0.187928 + 0.531417i
\(523\) −7.14991 + 40.5491i −0.312644 + 1.77309i 0.272495 + 0.962157i \(0.412151\pi\)
−0.585139 + 0.810933i \(0.698960\pi\)
\(524\) 2.85816 2.43317i 0.124859 0.106294i
\(525\) −0.796817 + 38.1142i −0.0347759 + 1.66344i
\(526\) 35.2676 + 24.5079i 1.53774 + 1.06860i
\(527\) 25.6608 + 34.4684i 1.11780 + 1.50147i
\(528\) 0.441858 + 1.92128i 0.0192294 + 0.0836130i
\(529\) 0.750765 + 12.8901i 0.0326420 + 0.560441i
\(530\) 1.32174 + 8.80472i 0.0574128 + 0.382453i
\(531\) −32.9096 11.3715i −1.42816 0.493482i
\(532\) 30.3193 32.5985i 1.31451 1.41333i
\(533\) 1.05689 0.250487i 0.0457790 0.0108498i
\(534\) 5.83691 20.3642i 0.252588 0.881247i
\(535\) 11.3662 + 0.662006i 0.491404 + 0.0286210i
\(536\) −18.8844 + 17.1707i −0.815682 + 0.741660i
\(537\) 27.2694 + 8.78904i 1.17676 + 0.379275i
\(538\) −21.8540 + 4.59369i −0.942195 + 0.198048i
\(539\) −3.76495 2.17369i −0.162168 0.0936276i
\(540\) 0.335085 6.02186i 0.0144198 0.259140i
\(541\) −6.22462 + 3.59379i −0.267617 + 0.154509i −0.627804 0.778371i \(-0.716046\pi\)
0.360187 + 0.932880i \(0.382713\pi\)
\(542\) −19.4219 + 17.4083i −0.834240 + 0.747751i
\(543\) 16.2110 30.6635i 0.695683 1.31590i
\(544\) 16.4423 19.1520i 0.704957 0.821135i
\(545\) −0.846611 1.68574i −0.0362648 0.0722092i
\(546\) −1.57150 + 0.699885i −0.0672539 + 0.0299523i
\(547\) −2.76082 + 9.22177i −0.118044 + 0.394294i −0.996506 0.0835172i \(-0.973385\pi\)
0.878462 + 0.477812i \(0.158570\pi\)
\(548\) −16.4165 3.76752i −0.701279 0.160940i
\(549\) −8.34410 + 4.36306i −0.356117 + 0.186211i
\(550\) 0.686620 1.74642i 0.0292776 0.0744678i
\(551\) −11.9602 + 7.86633i −0.509520 + 0.335117i
\(552\) 15.0701 3.87339i 0.641428 0.164862i
\(553\) −65.1959 + 7.62031i −2.77241 + 0.324048i
\(554\) −24.4536 2.05170i −1.03893 0.0871685i
\(555\) −2.68140 + 6.91391i −0.113819 + 0.293479i
\(556\) −21.5839 + 3.96450i −0.915360 + 0.168132i
\(557\) −28.0462 + 10.2080i −1.18836 + 0.432526i −0.859146 0.511731i \(-0.829005\pi\)
−0.329210 + 0.944257i \(0.606782\pi\)
\(558\) −39.8408 + 9.05797i −1.68659 + 0.383455i
\(559\) 0.407043 1.11834i 0.0172161 0.0473008i
\(560\) 5.05640 + 9.72042i 0.213672 + 0.410763i
\(561\) −1.54230 + 1.56776i −0.0651159 + 0.0661907i
\(562\) 1.57957 5.98013i 0.0666302 0.252257i
\(563\) 1.79541 0.537510i 0.0756674 0.0226533i −0.248746 0.968569i \(-0.580018\pi\)
0.324413 + 0.945915i \(0.394833\pi\)
\(564\) −0.277886 + 20.1623i −0.0117011 + 0.848985i
\(565\) 6.00726 + 4.47224i 0.252727 + 0.188149i
\(566\) 37.3082 12.5102i 1.56818 0.525843i
\(567\) 28.3561 + 31.6299i 1.19084 + 1.32833i
\(568\) 15.9376 23.2868i 0.668729 0.977094i
\(569\) −29.5981 22.0350i −1.24082 0.923755i −0.241903 0.970300i \(-0.577772\pi\)
−0.998916 + 0.0465450i \(0.985179\pi\)
\(570\) 6.58813 1.24163i 0.275946 0.0520060i
\(571\) 6.22645 + 20.7978i 0.260569 + 0.870361i 0.983726 + 0.179677i \(0.0575052\pi\)
−0.723157 + 0.690684i \(0.757310\pi\)
\(572\) 0.0845001 0.00552563i 0.00353312 0.000231038i
\(573\) −4.57082 16.5165i −0.190949 0.689988i
\(574\) 42.9705 + 22.9724i 1.79355 + 0.958848i
\(575\) −13.9179 5.06568i −0.580415 0.211254i
\(576\) 10.3305 + 21.6629i 0.430439 + 0.902620i
\(577\) 39.9133 14.5272i 1.66161 0.604777i 0.670996 0.741461i \(-0.265867\pi\)
0.990615 + 0.136684i \(0.0436445\pi\)
\(578\) 4.07521 + 0.582116i 0.169506 + 0.0242128i
\(579\) −1.71042 11.0456i −0.0710825 0.459041i
\(580\) −0.836908 3.42240i −0.0347507 0.142107i
\(581\) 1.26610 0.147986i 0.0525266 0.00613947i
\(582\) 3.96652 3.02603i 0.164418 0.125433i
\(583\) 1.69624 + 2.57900i 0.0702510 + 0.106811i
\(584\) −7.19934 + 2.01172i −0.297911 + 0.0832456i
\(585\) −0.253023 0.0556089i −0.0104612 0.00229915i
\(586\) 13.6203 22.2588i 0.562648 0.919504i
\(587\) −0.241200 0.0722107i −0.00995541 0.00298045i 0.281822 0.959467i \(-0.409061\pi\)
−0.291777 + 0.956486i \(0.594247\pi\)
\(588\) −50.4871 15.8762i −2.08205 0.654723i
\(589\) −20.3827 40.5854i −0.839857 1.67229i
\(590\) 8.64753 + 3.99499i 0.356013 + 0.164471i
\(591\) 0.429937 0.270073i 0.0176853 0.0111093i
\(592\) −3.84292 29.2581i −0.157943 1.20250i
\(593\) 7.79510 4.50050i 0.320106 0.184813i −0.331334 0.943514i \(-0.607499\pi\)
0.651440 + 0.758700i \(0.274165\pi\)
\(594\) −0.770132 1.94404i −0.0315989 0.0797647i
\(595\) −6.11143 + 10.5853i −0.250544 + 0.433955i
\(596\) 17.2056 10.0977i 0.704768 0.413618i
\(597\) −8.57960 39.8990i −0.351139 1.63296i
\(598\) −0.0606217 0.665604i −0.00247900 0.0272186i
\(599\) 0.224899 3.86137i 0.00918913 0.157771i −0.990592 0.136849i \(-0.956303\pi\)
0.999781 0.0209226i \(-0.00666036\pi\)
\(600\) 3.54181 22.5687i 0.144594 0.921362i
\(601\) −23.3168 + 5.52618i −0.951112 + 0.225418i −0.676753 0.736210i \(-0.736614\pi\)
−0.274358 + 0.961628i \(0.588465\pi\)
\(602\) 46.9024 25.5055i 1.91160 1.03953i
\(603\) 17.0596 21.0203i 0.694721 0.856014i
\(604\) 6.63000 3.38905i 0.269771 0.137898i
\(605\) −0.368456 6.32614i −0.0149799 0.257194i
\(606\) 2.52886 11.2578i 0.102728 0.457317i
\(607\) 19.6777 14.6495i 0.798693 0.594605i −0.118543 0.992949i \(-0.537822\pi\)
0.917236 + 0.398344i \(0.130415\pi\)
\(608\) −20.6286 + 16.9164i −0.836601 + 0.686053i
\(609\) 21.2267 + 12.8542i 0.860149 + 0.520877i
\(610\) 2.39061 0.959599i 0.0967930 0.0388530i
\(611\) 0.852969 + 0.150401i 0.0345074 + 0.00608459i
\(612\) −14.1825 + 22.7079i −0.573292 + 0.917912i
\(613\) 24.9401 4.39761i 1.00732 0.177618i 0.354440 0.935079i \(-0.384672\pi\)
0.652880 + 0.757461i \(0.273560\pi\)
\(614\) 13.3522 8.30152i 0.538850 0.335022i
\(615\) 3.15535 + 6.62454i 0.127236 + 0.267127i
\(616\) 3.00483 + 2.32418i 0.121068 + 0.0936438i
\(617\) −4.92247 + 20.7695i −0.198171 + 0.836149i 0.779567 + 0.626319i \(0.215439\pi\)
−0.977738 + 0.209830i \(0.932709\pi\)
\(618\) −7.09774 11.9668i −0.285513 0.481375i
\(619\) −30.0826 3.51615i −1.20912 0.141326i −0.512451 0.858717i \(-0.671262\pi\)
−0.696671 + 0.717390i \(0.745336\pi\)
\(620\) 11.0927 1.37669i 0.445493 0.0552892i
\(621\) −15.1835 + 6.46810i −0.609295 + 0.259556i
\(622\) −21.3344 18.8503i −0.855430 0.755827i
\(623\) −16.1681 37.4818i −0.647760 1.50168i
\(624\) 0.989529 0.289079i 0.0396129 0.0115724i
\(625\) −13.7669 + 14.5921i −0.550677 + 0.583684i
\(626\) −18.0842 + 18.2135i −0.722791 + 0.727957i
\(627\) 1.89300 1.34872i 0.0755993 0.0538628i
\(628\) 22.1012 8.22290i 0.881935 0.328129i
\(629\) 25.2173 21.1598i 1.00548 0.843698i
\(630\) −6.85427 9.38507i −0.273080 0.373910i
\(631\) −0.978809 + 1.16650i −0.0389658 + 0.0464376i −0.785175 0.619273i \(-0.787427\pi\)
0.746210 + 0.665711i \(0.231872\pi\)
\(632\) 39.3279 + 0.723979i 1.56438 + 0.0287984i
\(633\) −2.28146 + 0.776775i −0.0906797 + 0.0308741i
\(634\) −31.4960 + 14.8236i −1.25087 + 0.588721i
\(635\) 0.792826 + 0.341992i 0.0314623 + 0.0135715i
\(636\) 26.9757 + 26.1622i 1.06966 + 1.03740i
\(637\) −1.02026 + 2.03150i −0.0404241 + 0.0804910i
\(638\) −0.761034 0.955472i −0.0301296 0.0378275i
\(639\) −12.9930 + 26.9630i −0.513996 + 1.06664i
\(640\) −2.21996 6.17924i −0.0877517 0.244256i
\(641\) −16.7293 + 15.7833i −0.660769 + 0.623403i −0.941752 0.336309i \(-0.890821\pi\)
0.280982 + 0.959713i \(0.409340\pi\)
\(642\) 39.8362 26.8763i 1.57221 1.06072i
\(643\) 20.2377 + 13.3106i 0.798098 + 0.524918i 0.881828 0.471571i \(-0.156313\pi\)
−0.0837298 + 0.996488i \(0.526683\pi\)
\(644\) 17.7327 24.1767i 0.698767 0.952696i
\(645\) 7.96423 + 1.10007i 0.313591 + 0.0433154i
\(646\) −28.2828 9.26025i −1.11277 0.364340i
\(647\) −35.6583 −1.40187 −0.700937 0.713223i \(-0.747235\pi\)
−0.700937 + 0.713223i \(0.747235\pi\)
\(648\) −14.2917 21.0653i −0.561430 0.827524i
\(649\) 3.30260 0.129638
\(650\) −0.932560 0.305336i −0.0365780 0.0119763i
\(651\) −48.3233 + 62.1538i −1.89394 + 2.43600i
\(652\) −11.3049 8.29174i −0.442735 0.324730i
\(653\) 18.3202 + 12.0494i 0.716925 + 0.471529i 0.854824 0.518917i \(-0.173665\pi\)
−0.137900 + 0.990446i \(0.544035\pi\)
\(654\) −7.15651 3.48948i −0.279842 0.136449i
\(655\) 0.792252 0.747451i 0.0309559 0.0292053i
\(656\) −23.6670 17.1010i −0.924041 0.667681i
\(657\) 7.22775 3.25911i 0.281981 0.127150i
\(658\) 24.2074 + 30.3922i 0.943703 + 1.18481i
\(659\) 7.53743 15.0083i 0.293617 0.584639i −0.697661 0.716428i \(-0.745776\pi\)
0.991278 + 0.131789i \(0.0420722\pi\)
\(660\) 0.156501 + 0.550238i 0.00609179 + 0.0214180i
\(661\) 8.32724 + 3.59202i 0.323892 + 0.139713i 0.551817 0.833965i \(-0.313935\pi\)
−0.227925 + 0.973679i \(0.573194\pi\)
\(662\) −29.9886 + 14.1141i −1.16554 + 0.548562i
\(663\) 0.865307 + 0.757456i 0.0336057 + 0.0294172i
\(664\) −0.763743 0.0140596i −0.0296390 0.000545618i
\(665\) 8.30368 9.89594i 0.322003 0.383748i
\(666\) 8.70184 + 30.0654i 0.337190 + 1.16501i
\(667\) −7.38548 + 6.19715i −0.285967 + 0.239955i
\(668\) 4.33457 + 11.6503i 0.167709 + 0.450764i
\(669\) −0.664557 6.94103i −0.0256933 0.268356i
\(670\) −5.21837 + 5.25566i −0.201603 + 0.203044i
\(671\) 0.612890 0.649625i 0.0236603 0.0250785i
\(672\) 41.8523 + 19.6742i 1.61449 + 0.758948i
\(673\) −1.56045 3.61753i −0.0601509 0.139445i 0.885490 0.464659i \(-0.153823\pi\)
−0.945641 + 0.325214i \(0.894564\pi\)
\(674\) 37.6148 + 33.2350i 1.44887 + 1.28017i
\(675\) −0.109795 + 24.2304i −0.00422602 + 0.932629i
\(676\) 3.19679 + 25.7581i 0.122953 + 0.990696i
\(677\) 21.4043 + 2.50180i 0.822634 + 0.0961521i 0.516987 0.855993i \(-0.327053\pi\)
0.305646 + 0.952145i \(0.401127\pi\)
\(678\) 31.6076 0.371297i 1.21388 0.0142596i
\(679\) 2.21700 9.35425i 0.0850805 0.358983i
\(680\) 4.48130 5.79368i 0.171850 0.222177i
\(681\) −19.3729 + 28.1551i −0.742370 + 1.07891i
\(682\) 3.29112 2.04621i 0.126024 0.0783533i
\(683\) 3.04239 0.536455i 0.116414 0.0205269i −0.115138 0.993350i \(-0.536731\pi\)
0.231552 + 0.972823i \(0.425620\pi\)
\(684\) 18.9291 21.0323i 0.723773 0.804190i
\(685\) −4.81325 0.848706i −0.183905 0.0324274i
\(686\) −51.2789 + 20.5835i −1.95784 + 0.785881i
\(687\) 10.7341 5.90168i 0.409530 0.225163i
\(688\) −29.9049 + 11.3694i −1.14011 + 0.433453i
\(689\) 1.29474 0.963898i 0.0493257 0.0367216i
\(690\) 4.30992 1.34567i 0.164076 0.0512287i
\(691\) −1.96112 33.6712i −0.0746046 1.28091i −0.803093 0.595853i \(-0.796814\pi\)
0.728489 0.685058i \(-0.240223\pi\)
\(692\) −7.94259 15.5381i −0.301932 0.590670i
\(693\) −3.52192 1.95722i −0.133787 0.0743485i
\(694\) −6.74409 + 3.66743i −0.256002 + 0.139214i
\(695\) −6.19623 + 1.46853i −0.235036 + 0.0557046i
\(696\) −11.5698 9.34199i −0.438553 0.354107i
\(697\) 1.89392 32.5173i 0.0717373 1.23168i
\(698\) 0.122358 + 1.34345i 0.00463132 + 0.0508502i
\(699\) −2.38180 + 2.15482i −0.0900881 + 0.0815028i
\(700\) −22.2810 37.9649i −0.842143 1.43494i
\(701\) −18.9868 + 32.8862i −0.717123 + 1.24209i 0.245012 + 0.969520i \(0.421208\pi\)
−0.962135 + 0.272573i \(0.912125\pi\)
\(702\) −0.991426 + 0.461139i −0.0374190 + 0.0174046i
\(703\) −30.1304 + 17.3958i −1.13639 + 0.656096i
\(704\) −1.59719 1.62206i −0.0601963 0.0611335i
\(705\) 0.218049 + 5.84708i 0.00821220 + 0.220214i
\(706\) 35.1690 + 16.2474i 1.32360 + 0.611478i
\(707\) −9.97833 19.8685i −0.375274 0.747232i
\(708\) 39.2457 8.73198i 1.47494 0.328168i
\(709\) 15.4937 + 4.63852i 0.581879 + 0.174203i 0.564197 0.825640i \(-0.309186\pi\)
0.0176825 + 0.999844i \(0.494371\pi\)
\(710\) 4.27383 6.98447i 0.160394 0.262123i
\(711\) −41.3536 + 5.52120i −1.55088 + 0.207061i
\(712\) 6.58312 + 23.5590i 0.246713 + 0.882910i
\(713\) −16.8079 25.5552i −0.629460 0.957048i
\(714\) 6.59061 + 51.1665i 0.246647 + 1.91486i
\(715\) 0.0244060 0.00285266i 0.000912734 0.000106683i
\(716\) −32.1362 + 7.85854i −1.20099 + 0.293687i
\(717\) −7.49680 + 6.02809i −0.279973 + 0.225123i
\(718\) 29.9395 + 4.27665i 1.11733 + 0.159603i
\(719\) −5.38591 + 1.96031i −0.200861 + 0.0731073i −0.440492 0.897757i \(-0.645196\pi\)
0.239631 + 0.970864i \(0.422974\pi\)
\(720\) 3.31456 + 6.12485i 0.123526 + 0.228260i
\(721\) −25.1930 9.16952i −0.938238 0.341491i
\(722\) 4.04185 + 2.16080i 0.150422 + 0.0804168i
\(723\) 28.8220 + 7.47051i 1.07190 + 0.277831i
\(724\) 2.61342 + 39.9654i 0.0971269 + 1.48530i
\(725\) 4.05966 + 13.5602i 0.150772 + 0.503613i
\(726\) −17.4315 20.2853i −0.646944 0.752858i
\(727\) −36.3446 27.0576i −1.34795 1.00351i −0.997765 0.0668279i \(-0.978712\pi\)
−0.350183 0.936681i \(-0.613880\pi\)
\(728\) 1.12193 1.63927i 0.0415814 0.0607554i
\(729\) 18.3498 + 19.8062i 0.679622 + 0.733563i
\(730\) −2.05655 + 0.689604i −0.0761165 + 0.0255234i
\(731\) −28.6275 21.3124i −1.05883 0.788267i
\(732\) 5.56555 9.34014i 0.205709 0.345222i
\(733\) −39.4209 + 11.8018i −1.45604 + 0.435911i −0.914439 0.404724i \(-0.867368\pi\)
−0.541603 + 0.840634i \(0.682183\pi\)
\(734\) −6.64364 + 25.1523i −0.245221 + 0.928388i
\(735\) −14.8661 3.85322i −0.548345 0.142128i
\(736\) −12.4765 + 12.9288i −0.459889 + 0.476563i
\(737\) −0.878234 + 2.41293i −0.0323502 + 0.0888813i
\(738\) 27.5474 + 14.1521i 1.01403 + 0.520948i
\(739\) −29.2831 + 10.6582i −1.07720 + 0.392068i −0.818864 0.573988i \(-0.805396\pi\)
−0.258334 + 0.966056i \(0.583173\pi\)
\(740\) −1.54694 8.42198i −0.0568667 0.309598i
\(741\) −0.761628 0.947194i −0.0279791 0.0347960i
\(742\) 72.1572 + 6.05412i 2.64897 + 0.222254i
\(743\) 36.1831 4.22920i 1.32743 0.155154i 0.577347 0.816499i \(-0.304088\pi\)
0.750082 + 0.661344i \(0.230014\pi\)
\(744\) 33.6992 33.0173i 1.23547 1.21047i
\(745\) 4.83659 3.18107i 0.177199 0.116546i
\(746\) 4.57098 11.6263i 0.167356 0.425670i
\(747\) 0.803082 0.107221i 0.0293833 0.00392301i
\(748\) 0.568022 2.47509i 0.0207690 0.0904983i
\(749\) 26.5572 88.7073i 0.970380 3.24129i
\(750\) 1.43437 13.6617i 0.0523759 0.498856i
\(751\) 18.7813 + 37.3967i 0.685341 + 1.36463i 0.919757 + 0.392489i \(0.128386\pi\)
−0.234416 + 0.972136i \(0.575318\pi\)
\(752\) −11.9278 19.9963i −0.434962 0.729192i
\(753\) −37.3456 + 1.39269i −1.36095 + 0.0507524i
\(754\) −0.475645 + 0.426332i −0.0173220 + 0.0155261i
\(755\) 1.87117 1.08032i 0.0680987 0.0393168i
\(756\) −47.0268 13.9463i −1.71035 0.507222i
\(757\) −25.0438 14.4590i −0.910232 0.525523i −0.0297264 0.999558i \(-0.509464\pi\)
−0.880506 + 0.474035i \(0.842797\pi\)
\(758\) −23.7308 + 4.98818i −0.861941 + 0.181179i
\(759\) 1.16084 1.05021i 0.0421357 0.0381202i
\(760\) −5.72759 + 5.20782i −0.207762 + 0.188907i
\(761\) 32.3988 + 1.88702i 1.17446 + 0.0684043i 0.634250 0.773128i \(-0.281309\pi\)
0.540206 + 0.841533i \(0.318346\pi\)
\(762\) 3.53599 0.882037i 0.128095 0.0319528i
\(763\) −14.9284 + 3.53809i −0.540444 + 0.128088i
\(764\) 14.4900 + 13.4768i 0.524229 + 0.487575i
\(765\) −3.77376 + 6.79070i −0.136440 + 0.245518i
\(766\) −4.94096 32.9139i −0.178524 1.18923i
\(767\) −0.100415 1.72405i −0.00362576 0.0622519i
\(768\) −23.2685 15.0524i −0.839630 0.543158i
\(769\) 12.7127 + 17.0761i 0.458430 + 0.615779i 0.969894 0.243526i \(-0.0783041\pi\)
−0.511464 + 0.859305i \(0.670897\pi\)
\(770\) 0.905208 + 0.629042i 0.0326214 + 0.0226691i
\(771\) 11.6371 6.39817i 0.419100 0.230425i
\(772\) 8.36627 + 9.82755i 0.301109 + 0.353701i