Properties

Label 400.2.bm.a.147.10
Level $400$
Weight $2$
Character 400.147
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 147.10
Character \(\chi\) \(=\) 400.147
Dual form 400.2.bm.a.283.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23884 - 0.682116i) q^{2} +(0.504840 - 0.694852i) q^{3} +(1.06944 + 1.69006i) q^{4} +(-2.09876 - 0.771503i) q^{5} +(-1.09938 + 0.516450i) q^{6} +(2.12397 + 2.12397i) q^{7} +(-0.172042 - 2.82319i) q^{8} +(0.699094 + 2.15159i) q^{9} +O(q^{10})\) \(q+(-1.23884 - 0.682116i) q^{2} +(0.504840 - 0.694852i) q^{3} +(1.06944 + 1.69006i) q^{4} +(-2.09876 - 0.771503i) q^{5} +(-1.09938 + 0.516450i) q^{6} +(2.12397 + 2.12397i) q^{7} +(-0.172042 - 2.82319i) q^{8} +(0.699094 + 2.15159i) q^{9} +(2.07377 + 2.38736i) q^{10} +(-3.14038 + 1.60011i) q^{11} +(1.71424 + 0.110109i) q^{12} +(0.650228 + 2.00120i) q^{13} +(-1.18246 - 4.08004i) q^{14} +(-1.59562 + 1.06884i) q^{15} +(-1.71261 + 3.61483i) q^{16} +(2.76079 + 0.437265i) q^{17} +(0.601569 - 3.14234i) q^{18} +(0.887626 + 0.140586i) q^{19} +(-0.940602 - 4.37210i) q^{20} +(2.54811 - 0.403580i) q^{21} +(4.98188 + 0.159834i) q^{22} +(1.53495 + 3.01251i) q^{23} +(-2.04855 - 1.30572i) q^{24} +(3.80957 + 3.23840i) q^{25} +(0.559520 - 2.92269i) q^{26} +(4.29851 + 1.39667i) q^{27} +(-1.31818 + 5.86108i) q^{28} +(-5.07812 + 0.804296i) q^{29} +(2.70578 - 0.235725i) q^{30} +(0.567859 + 0.781591i) q^{31} +(4.58737 - 3.30998i) q^{32} +(-0.473554 + 2.98990i) q^{33} +(-3.12190 - 2.42488i) q^{34} +(-2.81904 - 6.09634i) q^{35} +(-2.88868 + 3.48250i) q^{36} +(-0.787780 - 2.42454i) q^{37} +(-1.00373 - 0.779627i) q^{38} +(1.71880 + 0.558471i) q^{39} +(-1.81703 + 6.05792i) q^{40} +(5.18299 - 1.68406i) q^{41} +(-3.43198 - 1.23813i) q^{42} +6.24375 q^{43} +(-6.06272 - 3.59623i) q^{44} +(0.192730 - 5.05502i) q^{45} +(0.153325 - 4.77902i) q^{46} +(9.20201 - 1.45746i) q^{47} +(1.64718 + 3.01492i) q^{48} +2.02247i q^{49} +(-2.51047 - 6.61041i) q^{50} +(1.69759 - 1.69759i) q^{51} +(-2.68676 + 3.23908i) q^{52} +(-8.11192 + 11.1651i) q^{53} +(-4.37247 - 4.66233i) q^{54} +(7.82539 - 0.935417i) q^{55} +(5.63095 - 6.36177i) q^{56} +(0.545796 - 0.545796i) q^{57} +(6.83959 + 2.46747i) q^{58} +(8.06859 + 4.11115i) q^{59} +(-3.51282 - 1.55363i) q^{60} +(-10.8382 + 5.52234i) q^{61} +(-0.170350 - 1.35561i) q^{62} +(-3.08506 + 6.05476i) q^{63} +(-7.94080 + 0.971414i) q^{64} +(0.179258 - 4.70168i) q^{65} +(2.62611 - 3.38098i) q^{66} +(10.2205 - 7.42564i) q^{67} +(2.21348 + 5.13352i) q^{68} +(2.86815 + 0.454271i) q^{69} +(-0.666069 + 9.47529i) q^{70} +(-8.07846 - 5.86934i) q^{71} +(5.95408 - 2.34384i) q^{72} +(-4.48451 + 2.28497i) q^{73} +(-0.677884 + 3.54097i) q^{74} +(4.17343 - 1.01221i) q^{75} +(0.711661 + 1.65049i) q^{76} +(-10.0686 - 3.27150i) q^{77} +(-1.74837 - 1.86427i) q^{78} +(-5.32157 - 3.86634i) q^{79} +(6.38320 - 6.26536i) q^{80} +(-2.35022 + 1.70753i) q^{81} +(-7.56960 - 1.44913i) q^{82} +(-0.311050 - 0.428123i) q^{83} +(3.40711 + 3.87485i) q^{84} +(-5.45687 - 3.04767i) q^{85} +(-7.73499 - 4.25896i) q^{86} +(-2.00477 + 3.93459i) q^{87} +(5.05768 + 8.59061i) q^{88} +(-3.43946 + 10.5856i) q^{89} +(-3.68687 + 6.13089i) q^{90} +(-2.86941 + 5.63154i) q^{91} +(-3.44979 + 5.81585i) q^{92} +0.829768 q^{93} +(-12.3939 - 4.47128i) q^{94} +(-1.75445 - 0.979863i) q^{95} +(0.0159384 - 4.85856i) q^{96} +(-1.89618 - 11.9720i) q^{97} +(1.37956 - 2.50551i) q^{98} +(-5.63820 - 5.63820i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{17}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23884 0.682116i −0.875990 0.482329i
\(3\) 0.504840 0.694852i 0.291469 0.401173i −0.638021 0.770019i \(-0.720247\pi\)
0.929491 + 0.368845i \(0.120247\pi\)
\(4\) 1.06944 + 1.69006i 0.534718 + 0.845030i
\(5\) −2.09876 0.771503i −0.938593 0.345027i
\(6\) −1.09938 + 0.516450i −0.448822 + 0.210840i
\(7\) 2.12397 + 2.12397i 0.802784 + 0.802784i 0.983530 0.180746i \(-0.0578511\pi\)
−0.180746 + 0.983530i \(0.557851\pi\)
\(8\) −0.172042 2.82319i −0.0608260 0.998148i
\(9\) 0.699094 + 2.15159i 0.233031 + 0.717197i
\(10\) 2.07377 + 2.38736i 0.655782 + 0.754950i
\(11\) −3.14038 + 1.60011i −0.946861 + 0.482450i −0.858032 0.513597i \(-0.828313\pi\)
−0.0888296 + 0.996047i \(0.528313\pi\)
\(12\) 1.71424 + 0.110109i 0.494858 + 0.0317858i
\(13\) 0.650228 + 2.00120i 0.180341 + 0.555032i 0.999837 0.0180527i \(-0.00574665\pi\)
−0.819496 + 0.573085i \(0.805747\pi\)
\(14\) −1.18246 4.08004i −0.316026 1.09044i
\(15\) −1.59562 + 1.06884i −0.411987 + 0.275974i
\(16\) −1.71261 + 3.61483i −0.428152 + 0.903707i
\(17\) 2.76079 + 0.437265i 0.669589 + 0.106052i 0.481968 0.876189i \(-0.339922\pi\)
0.187621 + 0.982241i \(0.439922\pi\)
\(18\) 0.601569 3.14234i 0.141791 0.740655i
\(19\) 0.887626 + 0.140586i 0.203635 + 0.0322527i 0.257419 0.966300i \(-0.417128\pi\)
−0.0537833 + 0.998553i \(0.517128\pi\)
\(20\) −0.940602 4.37210i −0.210325 0.977632i
\(21\) 2.54811 0.403580i 0.556043 0.0880685i
\(22\) 4.98188 + 0.159834i 1.06214 + 0.0340767i
\(23\) 1.53495 + 3.01251i 0.320059 + 0.628151i 0.993846 0.110775i \(-0.0353332\pi\)
−0.673786 + 0.738926i \(0.735333\pi\)
\(24\) −2.04855 1.30572i −0.418159 0.266528i
\(25\) 3.80957 + 3.23840i 0.761913 + 0.647679i
\(26\) 0.559520 2.92269i 0.109731 0.573186i
\(27\) 4.29851 + 1.39667i 0.827249 + 0.268790i
\(28\) −1.31818 + 5.86108i −0.249113 + 1.10764i
\(29\) −5.07812 + 0.804296i −0.942984 + 0.149354i −0.608951 0.793208i \(-0.708410\pi\)
−0.334032 + 0.942562i \(0.608410\pi\)
\(30\) 2.70578 0.235725i 0.494006 0.0430374i
\(31\) 0.567859 + 0.781591i 0.101991 + 0.140378i 0.856962 0.515380i \(-0.172349\pi\)
−0.754971 + 0.655758i \(0.772349\pi\)
\(32\) 4.58737 3.30998i 0.810941 0.585128i
\(33\) −0.473554 + 2.98990i −0.0824351 + 0.520475i
\(34\) −3.12190 2.42488i −0.535401 0.415863i
\(35\) −2.81904 6.09634i −0.476506 1.03047i
\(36\) −2.88868 + 3.48250i −0.481447 + 0.580417i
\(37\) −0.787780 2.42454i −0.129510 0.398592i 0.865186 0.501452i \(-0.167201\pi\)
−0.994696 + 0.102860i \(0.967201\pi\)
\(38\) −1.00373 0.779627i −0.162826 0.126472i
\(39\) 1.71880 + 0.558471i 0.275228 + 0.0894269i
\(40\) −1.81703 + 6.05792i −0.287297 + 0.957842i
\(41\) 5.18299 1.68406i 0.809447 0.263005i 0.125083 0.992146i \(-0.460080\pi\)
0.684364 + 0.729141i \(0.260080\pi\)
\(42\) −3.43198 1.23813i −0.529566 0.191048i
\(43\) 6.24375 0.952163 0.476082 0.879401i \(-0.342057\pi\)
0.476082 + 0.879401i \(0.342057\pi\)
\(44\) −6.06272 3.59623i −0.913989 0.542152i
\(45\) 0.192730 5.05502i 0.0287305 0.753558i
\(46\) 0.153325 4.77902i 0.0226066 0.704628i
\(47\) 9.20201 1.45746i 1.34225 0.212592i 0.556352 0.830947i \(-0.312201\pi\)
0.785899 + 0.618355i \(0.212201\pi\)
\(48\) 1.64718 + 3.01492i 0.237750 + 0.435166i
\(49\) 2.02247i 0.288925i
\(50\) −2.51047 6.61041i −0.355035 0.934853i
\(51\) 1.69759 1.69759i 0.237710 0.237710i
\(52\) −2.68676 + 3.23908i −0.372587 + 0.449179i
\(53\) −8.11192 + 11.1651i −1.11426 + 1.53365i −0.299270 + 0.954169i \(0.596743\pi\)
−0.814989 + 0.579477i \(0.803257\pi\)
\(54\) −4.37247 4.66233i −0.595018 0.634463i
\(55\) 7.82539 0.935417i 1.05518 0.126132i
\(56\) 5.63095 6.36177i 0.752468 0.850128i
\(57\) 0.545796 0.545796i 0.0722924 0.0722924i
\(58\) 6.83959 + 2.46747i 0.898082 + 0.323995i
\(59\) 8.06859 + 4.11115i 1.05044 + 0.535226i 0.891950 0.452134i \(-0.149337\pi\)
0.158491 + 0.987360i \(0.449337\pi\)
\(60\) −3.51282 1.55363i −0.453503 0.200573i
\(61\) −10.8382 + 5.52234i −1.38769 + 0.707063i −0.978665 0.205461i \(-0.934131\pi\)
−0.409024 + 0.912524i \(0.634131\pi\)
\(62\) −0.170350 1.35561i −0.0216345 0.172163i
\(63\) −3.08506 + 6.05476i −0.388680 + 0.762828i
\(64\) −7.94080 + 0.971414i −0.992600 + 0.121427i
\(65\) 0.179258 4.70168i 0.0222342 0.583171i
\(66\) 2.62611 3.38098i 0.323252 0.416170i
\(67\) 10.2205 7.42564i 1.24863 0.907186i 0.250492 0.968119i \(-0.419408\pi\)
0.998142 + 0.0609329i \(0.0194076\pi\)
\(68\) 2.21348 + 5.13352i 0.268424 + 0.622531i
\(69\) 2.86815 + 0.454271i 0.345285 + 0.0546878i
\(70\) −0.666069 + 9.47529i −0.0796105 + 1.13251i
\(71\) −8.07846 5.86934i −0.958737 0.696563i −0.00587979 0.999983i \(-0.501872\pi\)
−0.952857 + 0.303420i \(0.901872\pi\)
\(72\) 5.95408 2.34384i 0.701695 0.276224i
\(73\) −4.48451 + 2.28497i −0.524873 + 0.267436i −0.696288 0.717763i \(-0.745166\pi\)
0.171415 + 0.985199i \(0.445166\pi\)
\(74\) −0.677884 + 3.54097i −0.0788024 + 0.411629i
\(75\) 4.17343 1.01221i 0.481906 0.116881i
\(76\) 0.711661 + 1.65049i 0.0816331 + 0.189324i
\(77\) −10.0686 3.27150i −1.14743 0.372822i
\(78\) −1.74837 1.86427i −0.197964 0.211087i
\(79\) −5.32157 3.86634i −0.598723 0.434998i 0.246702 0.969091i \(-0.420653\pi\)
−0.845425 + 0.534094i \(0.820653\pi\)
\(80\) 6.38320 6.26536i 0.713664 0.700489i
\(81\) −2.35022 + 1.70753i −0.261135 + 0.189726i
\(82\) −7.56960 1.44913i −0.835923 0.160029i
\(83\) −0.311050 0.428123i −0.0341422 0.0469927i 0.791605 0.611034i \(-0.209246\pi\)
−0.825747 + 0.564041i \(0.809246\pi\)
\(84\) 3.40711 + 3.87485i 0.371747 + 0.422781i
\(85\) −5.45687 3.04767i −0.591880 0.330566i
\(86\) −7.73499 4.25896i −0.834086 0.459255i
\(87\) −2.00477 + 3.93459i −0.214934 + 0.421832i
\(88\) 5.05768 + 8.59061i 0.539150 + 0.915762i
\(89\) −3.43946 + 10.5856i −0.364582 + 1.12207i 0.585661 + 0.810556i \(0.300835\pi\)
−0.950243 + 0.311511i \(0.899165\pi\)
\(90\) −3.68687 + 6.13089i −0.388630 + 0.646252i
\(91\) −2.86941 + 5.63154i −0.300796 + 0.590346i
\(92\) −3.44979 + 5.81585i −0.359665 + 0.606344i
\(93\) 0.829768 0.0860430
\(94\) −12.3939 4.47128i −1.27834 0.461178i
\(95\) −1.75445 0.979863i −0.180003 0.100532i
\(96\) 0.0159384 4.85856i 0.00162670 0.495875i
\(97\) −1.89618 11.9720i −0.192528 1.21557i −0.874803 0.484478i \(-0.839009\pi\)
0.682275 0.731095i \(-0.260991\pi\)
\(98\) 1.37956 2.50551i 0.139357 0.253095i
\(99\) −5.63820 5.63820i −0.566660 0.566660i
\(100\) −1.39899 + 9.90166i −0.139899 + 0.990166i
\(101\) 5.38605 5.38605i 0.535932 0.535932i −0.386400 0.922331i \(-0.626281\pi\)
0.922331 + 0.386400i \(0.126281\pi\)
\(102\) −3.26099 + 0.945085i −0.322886 + 0.0935774i
\(103\) −10.1852 + 1.61317i −1.00357 + 0.158950i −0.636529 0.771253i \(-0.719630\pi\)
−0.367044 + 0.930203i \(0.619630\pi\)
\(104\) 5.53789 2.18001i 0.543035 0.213767i
\(105\) −5.65922 1.11885i −0.552284 0.109189i
\(106\) 17.6652 8.29848i 1.71580 0.806020i
\(107\) 1.56283i 0.151084i −0.997143 0.0755422i \(-0.975931\pi\)
0.997143 0.0755422i \(-0.0240688\pi\)
\(108\) 2.23653 + 8.75840i 0.215210 + 0.842777i
\(109\) −8.56708 4.36514i −0.820577 0.418105i −0.00729432 0.999973i \(-0.502322\pi\)
−0.813283 + 0.581868i \(0.802322\pi\)
\(110\) −10.3324 4.17899i −0.985160 0.398451i
\(111\) −2.08240 0.676613i −0.197653 0.0642212i
\(112\) −11.3153 + 4.04025i −1.06920 + 0.381767i
\(113\) −15.9427 8.12323i −1.49977 0.764169i −0.504692 0.863299i \(-0.668394\pi\)
−0.995074 + 0.0991301i \(0.968394\pi\)
\(114\) −1.04845 + 0.303856i −0.0981961 + 0.0284588i
\(115\) −0.897328 7.50674i −0.0836762 0.700007i
\(116\) −6.79004 7.72219i −0.630439 0.716988i
\(117\) −3.85118 + 2.79805i −0.356042 + 0.258680i
\(118\) −7.19139 10.5968i −0.662021 0.975510i
\(119\) 4.93508 + 6.79255i 0.452398 + 0.622672i
\(120\) 3.29205 + 4.32084i 0.300522 + 0.394437i
\(121\) 0.836032 1.15070i 0.0760029 0.104609i
\(122\) 17.1936 + 0.551624i 1.55664 + 0.0499417i
\(123\) 1.44641 4.45159i 0.130418 0.401386i
\(124\) −0.713647 + 1.79558i −0.0640874 + 0.161248i
\(125\) −5.49692 9.73570i −0.491660 0.870787i
\(126\) 7.95193 5.39650i 0.708414 0.480759i
\(127\) 3.88018 + 7.61527i 0.344310 + 0.675746i 0.996615 0.0822103i \(-0.0261979\pi\)
−0.652305 + 0.757956i \(0.726198\pi\)
\(128\) 10.5000 + 4.21312i 0.928076 + 0.372391i
\(129\) 3.15209 4.33849i 0.277526 0.381982i
\(130\) −3.42916 + 5.70234i −0.300757 + 0.500128i
\(131\) −2.14868 + 13.5662i −0.187731 + 1.18529i 0.696262 + 0.717787i \(0.254845\pi\)
−0.883993 + 0.467499i \(0.845155\pi\)
\(132\) −5.55955 + 2.39717i −0.483896 + 0.208647i
\(133\) 1.58669 + 2.18389i 0.137583 + 0.189367i
\(134\) −17.7267 + 2.22759i −1.53135 + 0.192434i
\(135\) −7.94400 6.24759i −0.683711 0.537707i
\(136\) 0.759513 7.86945i 0.0651277 0.674800i
\(137\) 7.41499 + 3.77812i 0.633505 + 0.322787i 0.741087 0.671409i \(-0.234311\pi\)
−0.107582 + 0.994196i \(0.534311\pi\)
\(138\) −3.24331 2.51918i −0.276089 0.214447i
\(139\) 0.111087 + 0.218021i 0.00942229 + 0.0184923i 0.895670 0.444720i \(-0.146697\pi\)
−0.886247 + 0.463212i \(0.846697\pi\)
\(140\) 7.28839 11.2840i 0.615982 0.953673i
\(141\) 3.63282 7.12982i 0.305939 0.600439i
\(142\) 6.00433 + 12.7816i 0.503872 + 1.07261i
\(143\) −5.24409 5.24409i −0.438533 0.438533i
\(144\) −8.97490 1.15773i −0.747909 0.0964776i
\(145\) 11.2783 + 2.22977i 0.936609 + 0.185172i
\(146\) 7.11420 + 0.228245i 0.588775 + 0.0188897i
\(147\) 1.40532 + 1.02102i 0.115909 + 0.0842127i
\(148\) 3.25514 3.92429i 0.267571 0.322574i
\(149\) 15.1684 + 15.1684i 1.24265 + 1.24265i 0.958899 + 0.283747i \(0.0915775\pi\)
0.283747 + 0.958899i \(0.408423\pi\)
\(150\) −5.86065 1.59279i −0.478520 0.130051i
\(151\) 1.20409 0.0979872 0.0489936 0.998799i \(-0.484399\pi\)
0.0489936 + 0.998799i \(0.484399\pi\)
\(152\) 0.244193 2.53012i 0.0198066 0.205220i
\(153\) 0.989233 + 6.24577i 0.0799747 + 0.504941i
\(154\) 10.2419 + 10.9208i 0.825313 + 0.880026i
\(155\) −0.588799 2.07848i −0.0472935 0.166947i
\(156\) 0.894295 + 3.50212i 0.0716009 + 0.280394i
\(157\) 0.681375i 0.0543796i −0.999630 0.0271898i \(-0.991344\pi\)
0.999630 0.0271898i \(-0.00865586\pi\)
\(158\) 3.95526 + 8.41970i 0.314664 + 0.669835i
\(159\) 3.66288 + 11.2732i 0.290485 + 0.894021i
\(160\) −12.1814 + 3.40768i −0.963028 + 0.269401i
\(161\) −3.13829 + 9.65865i −0.247332 + 0.761208i
\(162\) 4.07627 0.512236i 0.320262 0.0402451i
\(163\) 13.7282 4.46055i 1.07527 0.349378i 0.282734 0.959198i \(-0.408759\pi\)
0.792539 + 0.609821i \(0.208759\pi\)
\(164\) 8.38904 + 6.95858i 0.655074 + 0.543373i
\(165\) 3.30059 5.90973i 0.256951 0.460072i
\(166\) 0.0933106 + 0.742547i 0.00724231 + 0.0576329i
\(167\) 4.04225 + 0.640229i 0.312798 + 0.0495424i 0.310860 0.950456i \(-0.399383\pi\)
0.00193841 + 0.999998i \(0.499383\pi\)
\(168\) −1.57777 7.12436i −0.121727 0.549656i
\(169\) 6.93523 5.03874i 0.533479 0.387595i
\(170\) 4.68131 + 7.49778i 0.359040 + 0.575054i
\(171\) 0.318050 + 2.00809i 0.0243219 + 0.153563i
\(172\) 6.67730 + 10.5523i 0.509139 + 0.804607i
\(173\) 5.89316 18.1373i 0.448049 1.37895i −0.431057 0.902325i \(-0.641859\pi\)
0.879106 0.476627i \(-0.158141\pi\)
\(174\) 5.16743 3.50683i 0.391742 0.265852i
\(175\) 1.21315 + 14.9696i 0.0917053 + 1.13160i
\(176\) −0.405851 14.0923i −0.0305922 1.06225i
\(177\) 6.92999 3.53100i 0.520890 0.265407i
\(178\) 11.4815 10.7677i 0.860575 0.807072i
\(179\) −3.79085 23.9345i −0.283341 1.78895i −0.560532 0.828133i \(-0.689403\pi\)
0.277191 0.960815i \(-0.410597\pi\)
\(180\) 8.74941 5.08030i 0.652142 0.378663i
\(181\) 1.67552 10.5788i 0.124541 0.786318i −0.843795 0.536666i \(-0.819684\pi\)
0.968336 0.249652i \(-0.0803164\pi\)
\(182\) 7.39609 5.01929i 0.548235 0.372054i
\(183\) −1.63434 + 10.3188i −0.120814 + 0.762791i
\(184\) 8.24081 4.85173i 0.607520 0.357674i
\(185\) −0.217179 + 5.69629i −0.0159673 + 0.418800i
\(186\) −1.02795 0.565998i −0.0753728 0.0415010i
\(187\) −9.36959 + 3.04437i −0.685173 + 0.222626i
\(188\) 12.3042 + 13.9933i 0.897373 + 1.02057i
\(189\) 6.16342 + 12.0964i 0.448323 + 0.879883i
\(190\) 1.50510 + 2.41063i 0.109191 + 0.174885i
\(191\) 25.9947 8.44618i 1.88091 0.611144i 0.894439 0.447189i \(-0.147575\pi\)
0.986468 0.163954i \(-0.0524250\pi\)
\(192\) −3.33384 + 6.00809i −0.240599 + 0.433597i
\(193\) 3.37180 3.37180i 0.242707 0.242707i −0.575262 0.817969i \(-0.695100\pi\)
0.817969 + 0.575262i \(0.195100\pi\)
\(194\) −5.81724 + 16.1248i −0.417653 + 1.15769i
\(195\) −3.17648 2.49815i −0.227472 0.178896i
\(196\) −3.41810 + 2.16291i −0.244150 + 0.154493i
\(197\) −4.70356 3.41733i −0.335114 0.243475i 0.407483 0.913213i \(-0.366406\pi\)
−0.742598 + 0.669738i \(0.766406\pi\)
\(198\) 3.13891 + 10.8307i 0.223072 + 0.769705i
\(199\) 3.05640i 0.216662i −0.994115 0.108331i \(-0.965449\pi\)
0.994115 0.108331i \(-0.0345507\pi\)
\(200\) 8.48720 11.3123i 0.600136 0.799898i
\(201\) 10.8505i 0.765335i
\(202\) −10.3463 + 2.99853i −0.727966 + 0.210976i
\(203\) −12.4941 9.07747i −0.876911 0.637113i
\(204\) 4.68449 + 1.05356i 0.327980 + 0.0737643i
\(205\) −12.1771 0.464269i −0.850485 0.0324259i
\(206\) 13.7181 + 4.94900i 0.955787 + 0.344813i
\(207\) −5.40861 + 5.40861i −0.375924 + 0.375924i
\(208\) −8.34756 1.07681i −0.578799 0.0746631i
\(209\) −3.01244 + 0.978801i −0.208375 + 0.0677051i
\(210\) 6.24767 + 5.24632i 0.431130 + 0.362031i
\(211\) 6.61922 + 12.9910i 0.455686 + 0.894334i 0.998514 + 0.0544903i \(0.0173534\pi\)
−0.542828 + 0.839844i \(0.682647\pi\)
\(212\) −27.5449 1.76927i −1.89179 0.121514i
\(213\) −8.15666 + 2.65026i −0.558885 + 0.181593i
\(214\) −1.06603 + 1.93609i −0.0728723 + 0.132348i
\(215\) −13.1041 4.81707i −0.893694 0.328522i
\(216\) 3.20354 12.3758i 0.217974 0.842067i
\(217\) −0.453960 + 2.86619i −0.0308168 + 0.194570i
\(218\) 7.63569 + 11.2514i 0.517154 + 0.762044i
\(219\) −0.676241 + 4.26962i −0.0456962 + 0.288514i
\(220\) 9.94967 + 12.2250i 0.670807 + 0.824210i
\(221\) 0.920086 + 5.80919i 0.0618917 + 0.390769i
\(222\) 2.11823 + 2.25865i 0.142166 + 0.151591i
\(223\) 7.73215 3.93973i 0.517783 0.263824i −0.175512 0.984477i \(-0.556158\pi\)
0.693295 + 0.720654i \(0.256158\pi\)
\(224\) 16.7737 + 2.71313i 1.12074 + 0.181279i
\(225\) −4.30446 + 10.4606i −0.286964 + 0.697372i
\(226\) 14.2095 + 20.9382i 0.945201 + 1.39279i
\(227\) 7.84773 24.1528i 0.520872 1.60308i −0.251464 0.967867i \(-0.580912\pi\)
0.772336 0.635214i \(-0.219088\pi\)
\(228\) 1.50612 + 0.338734i 0.0997453 + 0.0224332i
\(229\) 1.93891 + 12.2418i 0.128127 + 0.808962i 0.965131 + 0.261766i \(0.0843048\pi\)
−0.837004 + 0.547196i \(0.815695\pi\)
\(230\) −4.00882 + 9.91172i −0.264334 + 0.653559i
\(231\) −7.35626 + 5.34464i −0.484006 + 0.351651i
\(232\) 3.14433 + 14.1981i 0.206435 + 0.932153i
\(233\) −2.27530 0.360372i −0.149060 0.0236088i 0.0814586 0.996677i \(-0.474042\pi\)
−0.230518 + 0.973068i \(0.574042\pi\)
\(234\) 6.67959 0.839376i 0.436658 0.0548717i
\(235\) −20.4372 4.04053i −1.33318 0.263575i
\(236\) 1.68075 + 18.0330i 0.109408 + 1.17385i
\(237\) −5.37308 + 1.74582i −0.349019 + 0.113403i
\(238\) −1.48046 11.7812i −0.0959637 0.763660i
\(239\) 7.57530 23.3144i 0.490005 1.50808i −0.334593 0.942363i \(-0.608599\pi\)
0.824598 0.565719i \(-0.191401\pi\)
\(240\) −1.13101 7.59839i −0.0730061 0.490474i
\(241\) 1.01662 + 3.12884i 0.0654863 + 0.201546i 0.978446 0.206504i \(-0.0662088\pi\)
−0.912959 + 0.408050i \(0.866209\pi\)
\(242\) −1.82062 + 0.855259i −0.117034 + 0.0549781i
\(243\) 16.0543i 1.02988i
\(244\) −20.9239 12.4114i −1.33951 0.794560i
\(245\) 1.56034 4.24468i 0.0996867 0.271183i
\(246\) −4.82837 + 4.52818i −0.307845 + 0.288706i
\(247\) 0.295819 + 1.86773i 0.0188225 + 0.118841i
\(248\) 2.10888 1.73764i 0.133914 0.110340i
\(249\) −0.454513 −0.0288036
\(250\) 0.168922 + 15.8105i 0.0106836 + 0.999943i
\(251\) −7.51750 7.51750i −0.474500 0.474500i 0.428867 0.903368i \(-0.358913\pi\)
−0.903368 + 0.428867i \(0.858913\pi\)
\(252\) −13.5322 + 1.26126i −0.852448 + 0.0794516i
\(253\) −9.64066 7.00435i −0.606103 0.440360i
\(254\) 0.387589 12.0808i 0.0243195 0.758018i
\(255\) −4.87252 + 2.25313i −0.305129 + 0.141097i
\(256\) −10.1339 12.3816i −0.633371 0.773848i
\(257\) 6.85418 + 6.85418i 0.427552 + 0.427552i 0.887794 0.460242i \(-0.152237\pi\)
−0.460242 + 0.887794i \(0.652237\pi\)
\(258\) −6.86428 + 3.22459i −0.427352 + 0.200754i
\(259\) 3.47642 6.82286i 0.216014 0.423952i
\(260\) 8.13783 4.72519i 0.504687 0.293044i
\(261\) −5.28060 10.3638i −0.326861 0.641501i
\(262\) 11.9156 15.3407i 0.736148 0.947752i
\(263\) −9.07788 4.62541i −0.559766 0.285215i 0.151128 0.988514i \(-0.451709\pi\)
−0.710894 + 0.703299i \(0.751709\pi\)
\(264\) 8.52253 + 0.822544i 0.524525 + 0.0506241i
\(265\) 25.6389 17.1745i 1.57498 1.05502i
\(266\) −0.475984 3.78779i −0.0291845 0.232244i
\(267\) 5.61903 + 7.73393i 0.343879 + 0.473309i
\(268\) 23.4800 + 9.33203i 1.43427 + 0.570045i
\(269\) −2.95138 + 18.6343i −0.179949 + 1.13615i 0.717997 + 0.696046i \(0.245059\pi\)
−0.897946 + 0.440106i \(0.854941\pi\)
\(270\) 5.57975 + 13.1585i 0.339573 + 0.800799i
\(271\) −9.13492 + 12.5731i −0.554907 + 0.763763i −0.990668 0.136299i \(-0.956479\pi\)
0.435761 + 0.900062i \(0.356479\pi\)
\(272\) −6.30879 + 9.23089i −0.382526 + 0.559705i
\(273\) 2.46449 + 4.83684i 0.149158 + 0.292739i
\(274\) −6.60885 9.73836i −0.399255 0.588316i
\(275\) −17.1453 4.07410i −1.03390 0.245677i
\(276\) 2.29956 + 5.33317i 0.138417 + 0.321019i
\(277\) 8.43087 25.9476i 0.506562 1.55904i −0.291567 0.956550i \(-0.594177\pi\)
0.798129 0.602487i \(-0.205823\pi\)
\(278\) 0.0110964 0.345867i 0.000665521 0.0207437i
\(279\) −1.28468 + 1.76821i −0.0769116 + 0.105860i
\(280\) −16.7261 + 9.00752i −0.999577 + 0.538303i
\(281\) 10.6734 + 14.6907i 0.636723 + 0.876374i 0.998435 0.0559160i \(-0.0178079\pi\)
−0.361713 + 0.932290i \(0.617808\pi\)
\(282\) −9.36384 + 6.35468i −0.557609 + 0.378416i
\(283\) 12.3598 8.97995i 0.734716 0.533802i −0.156336 0.987704i \(-0.549968\pi\)
0.891052 + 0.453902i \(0.149968\pi\)
\(284\) 1.28015 19.9300i 0.0759627 1.18263i
\(285\) −1.56658 + 0.724410i −0.0927959 + 0.0429103i
\(286\) 2.91950 + 10.0736i 0.172634 + 0.595667i
\(287\) 14.5854 + 7.43162i 0.860948 + 0.438675i
\(288\) 10.3287 + 7.55616i 0.608627 + 0.445251i
\(289\) −8.73723 2.83890i −0.513954 0.166994i
\(290\) −12.4510 10.4554i −0.731147 0.613962i
\(291\) −9.27605 4.72638i −0.543772 0.277065i
\(292\) −8.65765 5.13546i −0.506651 0.300530i
\(293\) 26.3059i 1.53681i −0.639966 0.768403i \(-0.721052\pi\)
0.639966 0.768403i \(-0.278948\pi\)
\(294\) −1.04451 2.22347i −0.0609168 0.129676i
\(295\) −13.7622 14.8532i −0.801269 0.864789i
\(296\) −6.70940 + 2.64118i −0.389976 + 0.153515i
\(297\) −15.7338 + 2.49199i −0.912968 + 0.144600i
\(298\) −8.44460 29.1378i −0.489182 1.68791i
\(299\) −5.03055 + 5.03055i −0.290924 + 0.290924i
\(300\) 6.17392 + 5.97085i 0.356452 + 0.344727i
\(301\) 13.2615 + 13.2615i 0.764382 + 0.764382i
\(302\) −1.49167 0.821327i −0.0858359 0.0472620i
\(303\) −1.02342 6.46160i −0.0587938 0.371209i
\(304\) −2.02835 + 2.96784i −0.116334 + 0.170218i
\(305\) 27.0073 3.22834i 1.54643 0.184854i
\(306\) 3.03484 8.41227i 0.173490 0.480897i
\(307\) 4.57130 0.260898 0.130449 0.991455i \(-0.458358\pi\)
0.130449 + 0.991455i \(0.458358\pi\)
\(308\) −5.23874 20.5153i −0.298505 1.16897i
\(309\) −4.02096 + 7.89157i −0.228744 + 0.448936i
\(310\) −0.688334 + 2.97652i −0.0390948 + 0.169055i
\(311\) −8.26082 + 25.4242i −0.468428 + 1.44167i 0.386191 + 0.922419i \(0.373790\pi\)
−0.854619 + 0.519255i \(0.826210\pi\)
\(312\) 1.28096 4.94857i 0.0725203 0.280158i
\(313\) −6.31072 + 12.3855i −0.356703 + 0.700069i −0.997722 0.0674557i \(-0.978512\pi\)
0.641019 + 0.767525i \(0.278512\pi\)
\(314\) −0.464776 + 0.844113i −0.0262289 + 0.0476360i
\(315\) 11.1461 10.3273i 0.628009 0.581880i
\(316\) 0.843277 13.1286i 0.0474380 0.738540i
\(317\) 14.9319 + 20.5519i 0.838657 + 1.15431i 0.986249 + 0.165264i \(0.0528475\pi\)
−0.147593 + 0.989048i \(0.547153\pi\)
\(318\) 3.15190 16.4641i 0.176750 0.923263i
\(319\) 14.6603 10.6513i 0.820819 0.596360i
\(320\) 17.4153 + 4.08759i 0.973543 + 0.228503i
\(321\) −1.08594 0.788978i −0.0606110 0.0440365i
\(322\) 10.4761 9.82483i 0.583813 0.547516i
\(323\) 2.38907 + 0.776256i 0.132932 + 0.0431921i
\(324\) −5.39924 2.14591i −0.299958 0.119217i
\(325\) −4.00358 + 9.72938i −0.222079 + 0.539689i
\(326\) −20.0496 3.83830i −1.11044 0.212584i
\(327\) −7.35813 + 3.74916i −0.406906 + 0.207329i
\(328\) −5.64610 14.3428i −0.311754 0.791951i
\(329\) 22.6404 + 16.4492i 1.24820 + 0.906873i
\(330\) −8.12001 + 5.06981i −0.446992 + 0.279084i
\(331\) 17.7703 + 2.81454i 0.976744 + 0.154701i 0.624345 0.781149i \(-0.285366\pi\)
0.352399 + 0.935850i \(0.385366\pi\)
\(332\) 0.390906 0.983544i 0.0214538 0.0539790i
\(333\) 4.66588 3.38996i 0.255689 0.185769i
\(334\) −4.57098 3.55042i −0.250113 0.194270i
\(335\) −27.1793 + 7.69945i −1.48496 + 0.420666i
\(336\) −2.90504 + 9.90214i −0.158483 + 0.540206i
\(337\) 14.9402 29.3218i 0.813844 1.59726i 0.0118480 0.999930i \(-0.496229\pi\)
0.801996 0.597329i \(-0.203771\pi\)
\(338\) −12.0286 + 1.51155i −0.654271 + 0.0822176i
\(339\) −13.6930 + 6.97692i −0.743700 + 0.378934i
\(340\) −0.685030 12.4817i −0.0371510 0.676917i
\(341\) −3.03392 1.54586i −0.164296 0.0837131i
\(342\) 0.975738 2.70465i 0.0527618 0.146251i
\(343\) 10.5721 10.5721i 0.570840 0.570840i
\(344\) −1.07419 17.6273i −0.0579163 0.950400i
\(345\) −5.66909 3.16619i −0.305213 0.170462i
\(346\) −19.6724 + 18.4493i −1.05759 + 0.991842i
\(347\) 8.53812 11.7517i 0.458350 0.630865i −0.515815 0.856700i \(-0.672511\pi\)
0.974166 + 0.225835i \(0.0725109\pi\)
\(348\) −8.79367 + 0.819606i −0.471390 + 0.0439355i
\(349\) −1.07388 + 1.07388i −0.0574833 + 0.0574833i −0.735264 0.677781i \(-0.762942\pi\)
0.677781 + 0.735264i \(0.262942\pi\)
\(350\) 8.70813 19.3725i 0.465469 1.03550i
\(351\) 9.51032i 0.507623i
\(352\) −9.10979 + 17.7349i −0.485553 + 0.945273i
\(353\) −13.4781 + 2.13472i −0.717365 + 0.113619i −0.504437 0.863448i \(-0.668300\pi\)
−0.212928 + 0.977068i \(0.568300\pi\)
\(354\) −10.9937 0.352710i −0.584308 0.0187463i
\(355\) 12.4265 + 18.5509i 0.659531 + 0.984579i
\(356\) −21.5685 + 5.50770i −1.14313 + 0.291907i
\(357\) 7.21125 0.381660
\(358\) −11.6298 + 32.2367i −0.614656 + 1.70376i
\(359\) −6.12090 + 1.98880i −0.323049 + 0.104965i −0.466052 0.884757i \(-0.654324\pi\)
0.143003 + 0.989722i \(0.454324\pi\)
\(360\) −14.3044 + 0.325563i −0.753910 + 0.0171587i
\(361\) −17.3020 5.62175i −0.910629 0.295881i
\(362\) −9.29168 + 11.9626i −0.488360 + 0.628738i
\(363\) −0.377504 1.16184i −0.0198138 0.0609806i
\(364\) −12.5863 + 1.17309i −0.659701 + 0.0614868i
\(365\) 11.1748 1.33579i 0.584914 0.0699184i
\(366\) 9.06333 11.6686i 0.473748 0.609925i
\(367\) −3.61566 + 22.8284i −0.188736 + 1.19163i 0.693370 + 0.720582i \(0.256125\pi\)
−0.882106 + 0.471051i \(0.843875\pi\)
\(368\) −13.5185 + 0.389325i −0.704699 + 0.0202950i
\(369\) 7.24680 + 9.97436i 0.377253 + 0.519244i
\(370\) 4.15458 6.90864i 0.215986 0.359163i
\(371\) −40.9438 + 6.48486i −2.12570 + 0.336677i
\(372\) 0.887385 + 1.40236i 0.0460088 + 0.0727089i
\(373\) −18.2051 5.91520i −0.942625 0.306277i −0.202910 0.979197i \(-0.565040\pi\)
−0.739715 + 0.672920i \(0.765040\pi\)
\(374\) 13.6840 + 2.61967i 0.707584 + 0.135460i
\(375\) −9.53994 1.09542i −0.492640 0.0565672i
\(376\) −5.69780 25.7283i −0.293842 1.32683i
\(377\) −4.91149 9.63934i −0.252955 0.496451i
\(378\) 0.615661 19.1896i 0.0316662 0.987007i
\(379\) −15.7801 + 2.49933i −0.810571 + 0.128382i −0.547944 0.836515i \(-0.684589\pi\)
−0.262628 + 0.964897i \(0.584589\pi\)
\(380\) −0.220246 4.01303i −0.0112984 0.205864i
\(381\) 7.25036 + 1.14834i 0.371447 + 0.0588314i
\(382\) −37.9644 7.26792i −1.94243 0.371859i
\(383\) −36.3136 5.75150i −1.85554 0.293888i −0.874110 0.485728i \(-0.838555\pi\)
−0.981426 + 0.191839i \(0.938555\pi\)
\(384\) 8.22831 5.16899i 0.419899 0.263779i
\(385\) 18.6077 + 14.6341i 0.948334 + 0.745821i
\(386\) −6.47706 + 1.87715i −0.329674 + 0.0955446i
\(387\) 4.36497 + 13.4340i 0.221884 + 0.682889i
\(388\) 18.2056 16.0080i 0.924248 0.812681i
\(389\) −9.99383 + 5.09211i −0.506708 + 0.258180i −0.688604 0.725137i \(-0.741776\pi\)
0.181897 + 0.983318i \(0.441776\pi\)
\(390\) 2.23111 + 5.26153i 0.112977 + 0.266428i
\(391\) 2.92040 + 8.98807i 0.147691 + 0.454546i
\(392\) 5.70982 0.347950i 0.288390 0.0175741i
\(393\) 8.34179 + 8.34179i 0.420787 + 0.420787i
\(394\) 3.49593 + 7.44189i 0.176122 + 0.374917i
\(395\) 8.18578 + 12.2201i 0.411871 + 0.614861i
\(396\) 3.49920 15.5586i 0.175841 0.781848i
\(397\) 3.11706 4.29027i 0.156441 0.215322i −0.723601 0.690218i \(-0.757514\pi\)
0.880042 + 0.474896i \(0.157514\pi\)
\(398\) −2.08482 + 3.78638i −0.104502 + 0.189794i
\(399\) 2.31850 0.116070
\(400\) −18.2305 + 8.22481i −0.911527 + 0.411241i
\(401\) −9.91229 −0.494996 −0.247498 0.968888i \(-0.579608\pi\)
−0.247498 + 0.968888i \(0.579608\pi\)
\(402\) −7.40130 + 13.4420i −0.369143 + 0.670427i
\(403\) −1.19488 + 1.64461i −0.0595212 + 0.0819239i
\(404\) 14.8628 + 3.34271i 0.739451 + 0.166306i
\(405\) 6.24990 1.77050i 0.310560 0.0879767i
\(406\) 9.28623 + 19.7679i 0.460868 + 0.981065i
\(407\) 6.35345 + 6.35345i 0.314929 + 0.314929i
\(408\) −5.08467 4.50056i −0.251729 0.222811i
\(409\) −9.37202 28.8441i −0.463417 1.42625i −0.860963 0.508667i \(-0.830138\pi\)
0.397546 0.917582i \(-0.369862\pi\)
\(410\) 14.7688 + 8.88134i 0.729377 + 0.438618i
\(411\) 6.36862 3.24497i 0.314141 0.160063i
\(412\) −13.6187 15.4883i −0.670947 0.763056i
\(413\) 8.40546 + 25.8694i 0.413606 + 1.27295i
\(414\) 10.3897 3.01109i 0.510625 0.147987i
\(415\) 0.322520 + 1.13850i 0.0158319 + 0.0558869i
\(416\) 9.60677 + 7.02799i 0.471011 + 0.344576i
\(417\) 0.207574 + 0.0328764i 0.0101649 + 0.00160996i
\(418\) 4.39958 + 0.842256i 0.215190 + 0.0411961i
\(419\) 25.5888 + 4.05287i 1.25009 + 0.197995i 0.746172 0.665753i \(-0.231890\pi\)
0.503922 + 0.863749i \(0.331890\pi\)
\(420\) −4.16125 10.7610i −0.203048 0.525082i
\(421\) 28.0609 4.44442i 1.36761 0.216608i 0.570923 0.821004i \(-0.306586\pi\)
0.796684 + 0.604396i \(0.206586\pi\)
\(422\) 0.661191 20.6087i 0.0321863 1.00322i
\(423\) 9.56892 + 18.7801i 0.465257 + 0.913118i
\(424\) 32.9168 + 20.9806i 1.59858 + 1.01891i
\(425\) 9.10136 + 10.6063i 0.441481 + 0.514481i
\(426\) 11.9126 + 2.28054i 0.577165 + 0.110493i
\(427\) −34.7492 11.2907i −1.68163 0.546396i
\(428\) 2.64128 1.67135i 0.127671 0.0807876i
\(429\) −6.29129 + 0.996443i −0.303746 + 0.0481087i
\(430\) 12.9481 + 14.9061i 0.624412 + 0.718836i
\(431\) −10.5044 14.4581i −0.505981 0.696423i 0.477254 0.878765i \(-0.341632\pi\)
−0.983235 + 0.182342i \(0.941632\pi\)
\(432\) −12.4104 + 13.1464i −0.597096 + 0.632508i
\(433\) −0.914565 + 5.77433i −0.0439512 + 0.277497i −0.999870 0.0161348i \(-0.994864\pi\)
0.955919 + 0.293632i \(0.0948639\pi\)
\(434\) 2.51745 3.24109i 0.120842 0.155577i
\(435\) 7.24308 6.71105i 0.347279 0.321770i
\(436\) −1.78459 19.1471i −0.0854664 0.916981i
\(437\) 0.938944 + 2.88977i 0.0449158 + 0.138237i
\(438\) 3.75013 4.82809i 0.179188 0.230695i
\(439\) 20.2271 + 6.57218i 0.965386 + 0.313673i 0.748952 0.662624i \(-0.230557\pi\)
0.216434 + 0.976297i \(0.430557\pi\)
\(440\) −3.98716 21.9316i −0.190080 1.04555i
\(441\) −4.35153 + 1.41390i −0.207216 + 0.0673285i
\(442\) 2.82270 7.82425i 0.134262 0.372162i
\(443\) 11.7484 0.558183 0.279092 0.960264i \(-0.409967\pi\)
0.279092 + 0.960264i \(0.409967\pi\)
\(444\) −1.08348 4.24298i −0.0514196 0.201363i
\(445\) 15.3854 19.5630i 0.729337 0.927374i
\(446\) −12.2662 0.393538i −0.580823 0.0186346i
\(447\) 18.1974 2.88219i 0.860710 0.136323i
\(448\) −18.9293 14.8028i −0.894323 0.699364i
\(449\) 12.1710i 0.574387i −0.957873 0.287193i \(-0.907278\pi\)
0.957873 0.287193i \(-0.0927223\pi\)
\(450\) 12.4678 10.0228i 0.587740 0.472480i
\(451\) −13.5819 + 13.5819i −0.639547 + 0.639547i
\(452\) −3.32100 35.6315i −0.156207 1.67596i
\(453\) 0.607871 0.836663i 0.0285603 0.0393099i
\(454\) −26.1971 + 24.5684i −1.22949 + 1.15305i
\(455\) 10.3669 9.60547i 0.486010 0.450311i
\(456\) −1.63478 1.44699i −0.0765558 0.0677613i
\(457\) −10.0051 + 10.0051i −0.468018 + 0.468018i −0.901272 0.433254i \(-0.857365\pi\)
0.433254 + 0.901272i \(0.357365\pi\)
\(458\) 5.94833 16.4882i 0.277947 0.770442i
\(459\) 11.2566 + 5.73550i 0.525411 + 0.267710i
\(460\) 11.7272 9.54453i 0.546784 0.445016i
\(461\) 20.2917 10.3392i 0.945080 0.481542i 0.0876548 0.996151i \(-0.472063\pi\)
0.857425 + 0.514609i \(0.172063\pi\)
\(462\) 12.7589 1.60332i 0.593596 0.0745930i
\(463\) 11.7942 23.1474i 0.548122 1.07575i −0.436279 0.899812i \(-0.643704\pi\)
0.984401 0.175939i \(-0.0562961\pi\)
\(464\) 5.78945 19.7340i 0.268769 0.916127i
\(465\) −1.74148 0.640169i −0.0807593 0.0296871i
\(466\) 2.57291 + 1.99846i 0.119188 + 0.0925768i
\(467\) −25.2045 + 18.3121i −1.16633 + 0.847385i −0.990564 0.137048i \(-0.956239\pi\)
−0.175761 + 0.984433i \(0.556239\pi\)
\(468\) −8.84747 3.51640i −0.408975 0.162546i
\(469\) 37.4798 + 5.93622i 1.73066 + 0.274109i
\(470\) 22.5623 + 18.9461i 1.04072 + 0.873919i
\(471\) −0.473455 0.343985i −0.0218157 0.0158500i
\(472\) 10.2184 23.4864i 0.470341 1.08105i
\(473\) −19.6078 + 9.99066i −0.901566 + 0.459371i
\(474\) 7.84722 + 1.50227i 0.360435 + 0.0690017i
\(475\) 2.92620 + 3.41006i 0.134263 + 0.156464i
\(476\) −6.20207 + 15.6048i −0.284272 + 0.715245i
\(477\) −29.6937 9.64808i −1.35958 0.441755i
\(478\) −25.2877 + 23.7155i −1.15663 + 1.08472i
\(479\) −17.3295 12.5907i −0.791807 0.575282i 0.116692 0.993168i \(-0.462771\pi\)
−0.908499 + 0.417887i \(0.862771\pi\)
\(480\) −3.78184 + 10.1846i −0.172617 + 0.464863i
\(481\) 4.33974 3.15301i 0.197875 0.143765i
\(482\) 0.874800 4.56957i 0.0398460 0.208138i
\(483\) 5.12701 + 7.05672i 0.233287 + 0.321092i
\(484\) 2.83883 + 0.182344i 0.129038 + 0.00828838i
\(485\) −5.25682 + 26.5893i −0.238700 + 1.20736i
\(486\) 10.9509 19.8886i 0.496741 0.902166i
\(487\) 4.34080 8.51930i 0.196701 0.386047i −0.771497 0.636233i \(-0.780492\pi\)
0.968198 + 0.250186i \(0.0804918\pi\)
\(488\) 17.4552 + 29.6482i 0.790161 + 1.34211i
\(489\) 3.83110 11.7909i 0.173248 0.533204i
\(490\) −4.82837 + 4.19413i −0.218124 + 0.189472i
\(491\) −5.71449 + 11.2153i −0.257891 + 0.506140i −0.983257 0.182224i \(-0.941671\pi\)
0.725366 + 0.688363i \(0.241671\pi\)
\(492\) 9.07030 2.31618i 0.408921 0.104421i
\(493\) −14.3713 −0.647251
\(494\) 0.907534 2.51559i 0.0408319 0.113182i
\(495\) 7.48332 + 16.1831i 0.336350 + 0.727376i
\(496\) −3.79784 + 0.714152i −0.170528 + 0.0320664i
\(497\) −4.69209 29.6247i −0.210469 1.32885i
\(498\) 0.563068 + 0.310030i 0.0252317 + 0.0138928i
\(499\) −18.9071 18.9071i −0.846400 0.846400i 0.143282 0.989682i \(-0.454234\pi\)
−0.989682 + 0.143282i \(0.954234\pi\)
\(500\) 10.5753 19.7018i 0.472942 0.881093i
\(501\) 2.48555 2.48555i 0.111046 0.111046i
\(502\) 4.18516 + 14.4408i 0.186793 + 0.644523i
\(503\) 33.1484 5.25020i 1.47802 0.234095i 0.635221 0.772330i \(-0.280909\pi\)
0.842795 + 0.538235i \(0.180909\pi\)
\(504\) 17.6245 + 7.66802i 0.785058 + 0.341561i
\(505\) −15.4594 + 7.14866i −0.687933 + 0.318111i
\(506\) 7.16544 + 15.2533i 0.318542 + 0.678092i
\(507\) 7.36272i 0.326990i
\(508\) −8.72067 + 14.7018i −0.386917 + 0.652286i
\(509\) 18.8607 + 9.61000i 0.835985 + 0.425956i 0.818926 0.573899i \(-0.194570\pi\)
0.0170588 + 0.999854i \(0.494570\pi\)
\(510\) 7.57316 + 0.532359i 0.335345 + 0.0235732i
\(511\) −14.3782 4.67175i −0.636053 0.206666i
\(512\) 4.10864 + 22.2513i 0.181578 + 0.983377i
\(513\) 3.61912 + 1.84403i 0.159788 + 0.0814161i
\(514\) −3.81587 13.1666i −0.168311 0.580752i
\(515\) 22.6207 + 4.47223i 0.996789 + 0.197070i
\(516\) 10.7033 + 0.687494i 0.471185 + 0.0302652i
\(517\) −26.5658 + 19.3012i −1.16836 + 0.848864i
\(518\) −8.96070 + 6.08109i −0.393710 + 0.267188i
\(519\) −9.62763 13.2513i −0.422606 0.581667i
\(520\) −13.3046 + 0.302806i −0.583444 + 0.0132789i
\(521\) −3.08056 + 4.24003i −0.134962 + 0.185759i −0.871149 0.491019i \(-0.836624\pi\)
0.736187 + 0.676778i \(0.236624\pi\)
\(522\) −0.527477 + 16.4410i −0.0230870 + 0.719603i
\(523\) 0.756560 2.32845i 0.0330821 0.101816i −0.933152 0.359482i \(-0.882953\pi\)
0.966234 + 0.257666i \(0.0829534\pi\)
\(524\) −25.2256 + 10.8768i −1.10199 + 0.475156i
\(525\) 11.0141 + 6.71431i 0.480696 + 0.293037i
\(526\) 8.09096 + 11.9223i 0.352782 + 0.519837i
\(527\) 1.22597 + 2.40611i 0.0534043 + 0.104812i
\(528\) −9.99695 6.83234i −0.435062 0.297340i
\(529\) 6.79992 9.35929i 0.295649 0.406926i
\(530\) −43.4774 + 3.78771i −1.88854 + 0.164528i
\(531\) −3.20481 + 20.2344i −0.139077 + 0.878097i
\(532\) −1.99404 + 5.01713i −0.0864527 + 0.217520i
\(533\) 6.74025 + 9.27716i 0.291953 + 0.401838i
\(534\) −1.68563 13.4139i −0.0729444 0.580477i
\(535\) −1.20573 + 3.28000i −0.0521281 + 0.141807i
\(536\) −22.7223 27.5769i −0.981455 1.19114i
\(537\) −18.5447 9.44900i −0.800263 0.407754i
\(538\) 16.3670 21.0717i 0.705632 0.908464i
\(539\) −3.23617 6.35134i −0.139392 0.273572i
\(540\) 2.06320 20.1072i 0.0887860 0.865278i
\(541\) −4.98404 + 9.78174i −0.214281 + 0.420550i −0.972979 0.230892i \(-0.925836\pi\)
0.758699 + 0.651442i \(0.225836\pi\)
\(542\) 19.8930 9.34500i 0.854478 0.401402i
\(543\) −6.50485 6.50485i −0.279150 0.279150i
\(544\) 14.1121 7.13226i 0.605051 0.305793i
\(545\) 14.6125 + 15.7709i 0.625931 + 0.675551i
\(546\) 0.246177 7.67313i 0.0105354 0.328380i
\(547\) −1.63551 1.18827i −0.0699293 0.0508066i 0.552271 0.833664i \(-0.313761\pi\)
−0.622201 + 0.782858i \(0.713761\pi\)
\(548\) 1.54460 + 16.5722i 0.0659821 + 0.707931i
\(549\) −19.4587 19.4587i −0.830479 0.830479i
\(550\) 18.4612 + 16.7422i 0.787188 + 0.713890i
\(551\) −4.62055 −0.196842
\(552\) 0.789050 8.17549i 0.0335842 0.347972i
\(553\) −3.09084 19.5148i −0.131436 0.829855i
\(554\) −28.1437 + 26.3940i −1.19571 + 1.12137i
\(555\) 3.84844 + 3.02662i 0.163357 + 0.128473i
\(556\) −0.249668 + 0.420903i −0.0105883 + 0.0178503i
\(557\) 4.35274i 0.184432i −0.995739 0.0922158i \(-0.970605\pi\)
0.995739 0.0922158i \(-0.0293950\pi\)
\(558\) 2.79763 1.31422i 0.118433 0.0556355i
\(559\) 4.05986 + 12.4950i 0.171714 + 0.528481i
\(560\) 26.8651 + 0.250293i 1.13526 + 0.0105768i
\(561\) −2.61476 + 8.04740i −0.110395 + 0.339762i
\(562\) −3.20188 25.4799i −0.135063 1.07480i
\(563\) 41.7098 13.5523i 1.75786 0.571162i 0.760882 0.648890i \(-0.224766\pi\)
0.996975 + 0.0777277i \(0.0247665\pi\)
\(564\) 15.9349 1.48520i 0.670981 0.0625381i
\(565\) 27.1928 + 29.3486i 1.14401 + 1.23470i
\(566\) −21.4372 + 2.69386i −0.901072 + 0.113231i
\(567\) −8.61853 1.36504i −0.361944 0.0573263i
\(568\) −15.1804 + 23.8168i −0.636957 + 0.999331i
\(569\) 33.5724 24.3918i 1.40743 1.02256i 0.413736 0.910397i \(-0.364223\pi\)
0.993690 0.112159i \(-0.0357765\pi\)
\(570\) 2.43486 + 0.171160i 0.101985 + 0.00716909i
\(571\) 1.92675 + 12.1650i 0.0806321 + 0.509091i 0.994640 + 0.103395i \(0.0329707\pi\)
−0.914008 + 0.405696i \(0.867029\pi\)
\(572\) 3.25461 14.4710i 0.136082 0.605065i
\(573\) 7.25429 22.3264i 0.303052 0.932699i
\(574\) −12.9997 19.1555i −0.542596 0.799534i
\(575\) −3.90820 + 16.4471i −0.162983 + 0.685892i
\(576\) −7.64146 16.4063i −0.318394 0.683594i
\(577\) 20.4368 10.4130i 0.850793 0.433501i 0.0264899 0.999649i \(-0.491567\pi\)
0.824303 + 0.566148i \(0.191567\pi\)
\(578\) 8.88755 + 9.47673i 0.369673 + 0.394180i
\(579\) −0.640684 4.04512i −0.0266259 0.168109i
\(580\) 8.29295 + 21.4455i 0.344346 + 0.890478i
\(581\) 0.248660 1.56998i 0.0103162 0.0651337i
\(582\) 8.26758 + 12.1826i 0.342702 + 0.504983i
\(583\) 7.60921 48.0426i 0.315141 1.98972i
\(584\) 7.22244 + 12.2675i 0.298867 + 0.507634i
\(585\) 10.2414 2.90123i 0.423430 0.119951i
\(586\) −17.9437 + 32.5887i −0.741245 + 1.34623i
\(587\) −32.4253 + 10.5356i −1.33833 + 0.434851i −0.888752 0.458388i \(-0.848427\pi\)
−0.449582 + 0.893239i \(0.648427\pi\)
\(588\) −0.222693 + 3.46700i −0.00918369 + 0.142977i
\(589\) 0.394166 + 0.773594i 0.0162413 + 0.0318754i
\(590\) 6.91755 + 27.7882i 0.284791 + 1.14402i
\(591\) −4.74908 + 1.54307i −0.195351 + 0.0634735i
\(592\) 10.1134 + 1.30460i 0.415660 + 0.0536187i
\(593\) −32.0289 + 32.0289i −1.31527 + 1.31527i −0.397792 + 0.917476i \(0.630223\pi\)
−0.917476 + 0.397792i \(0.869777\pi\)
\(594\) 21.1914 + 7.64510i 0.869496 + 0.313682i
\(595\) −5.11706 18.0634i −0.209779 0.740525i
\(596\) −9.41389 + 41.8572i −0.385608 + 1.71454i
\(597\) −2.12375 1.54299i −0.0869192 0.0631505i
\(598\) 9.66345 2.80062i 0.395168 0.114526i
\(599\) 5.52746i 0.225846i −0.993604 0.112923i \(-0.963979\pi\)
0.993604 0.112923i \(-0.0360213\pi\)
\(600\) −3.57568 11.6082i −0.145977 0.473904i
\(601\) 36.2466i 1.47853i −0.673415 0.739265i \(-0.735173\pi\)
0.673415 0.739265i \(-0.264827\pi\)
\(602\) −7.38298 25.4748i −0.300908 1.03827i
\(603\) 23.1220 + 16.7991i 0.941602 + 0.684114i
\(604\) 1.28770 + 2.03498i 0.0523956 + 0.0828022i
\(605\) −2.64239 + 1.77004i −0.107429 + 0.0719622i
\(606\) −3.13971 + 8.70296i −0.127542 + 0.353534i
\(607\) 15.8095 15.8095i 0.641689 0.641689i −0.309281 0.950971i \(-0.600089\pi\)
0.950971 + 0.309281i \(0.100089\pi\)
\(608\) 4.53721 2.29311i 0.184008 0.0929978i
\(609\) −12.6150 + 4.09886i −0.511186 + 0.166094i
\(610\) −35.6597 14.4227i −1.44382 0.583957i
\(611\) 8.90006 + 17.4673i 0.360058 + 0.706653i
\(612\) −9.49781 + 8.35132i −0.383926 + 0.337582i
\(613\) −3.23693 + 1.05174i −0.130738 + 0.0424795i −0.373655 0.927568i \(-0.621896\pi\)
0.242917 + 0.970047i \(0.421896\pi\)
\(614\) −5.66310 3.11816i −0.228544 0.125839i
\(615\) −6.47008 + 8.22690i −0.260899 + 0.331741i
\(616\) −7.50384 + 28.9885i −0.302338 + 1.16798i
\(617\) −5.01449 + 31.6602i −0.201876 + 1.27459i 0.653636 + 0.756809i \(0.273243\pi\)
−0.855512 + 0.517784i \(0.826757\pi\)
\(618\) 10.3643 7.03362i 0.416912 0.282934i
\(619\) −3.69111 + 23.3047i −0.148358 + 0.936696i 0.795406 + 0.606077i \(0.207258\pi\)
−0.943764 + 0.330619i \(0.892742\pi\)
\(620\) 2.88307 3.21790i 0.115787 0.129234i
\(621\) 2.39052 + 15.0931i 0.0959281 + 0.605666i
\(622\) 27.5760 25.8616i 1.10570 1.03696i
\(623\) −29.7887 + 15.1781i −1.19346 + 0.608097i
\(624\) −4.96240 + 5.25671i −0.198655 + 0.210437i
\(625\) 4.02559 + 24.6738i 0.161023 + 0.986951i
\(626\) 16.2663 11.0390i 0.650132 0.441206i
\(627\) −0.840677 + 2.58734i −0.0335734 + 0.103328i
\(628\) 1.15157 0.728688i 0.0459524 0.0290778i
\(629\) −1.11473 7.03810i −0.0444470 0.280627i
\(630\) −20.8526 + 5.19101i −0.830787 + 0.206815i
\(631\) 24.1774 17.5659i 0.962485 0.699286i 0.00875866 0.999962i \(-0.497212\pi\)
0.953727 + 0.300675i \(0.0972120\pi\)
\(632\) −9.99989 + 15.6890i −0.397774 + 0.624074i
\(633\) 12.3684 + 1.95897i 0.491601 + 0.0778620i
\(634\) −4.47935 35.6458i −0.177898 1.41567i
\(635\) −2.26834 18.9762i −0.0900163 0.753047i
\(636\) −15.1351 + 18.2464i −0.600147 + 0.723518i
\(637\) −4.04736 + 1.31507i −0.160362 + 0.0521049i
\(638\) −25.4272 + 3.19525i −1.00667 + 0.126501i
\(639\) 6.98082 21.4848i 0.276157 0.849924i
\(640\) −18.7865 16.9431i −0.742601 0.669734i
\(641\) −6.27090 19.2998i −0.247685 0.762298i −0.995183 0.0980331i \(-0.968745\pi\)
0.747498 0.664264i \(-0.231255\pi\)
\(642\) 0.807123 + 1.71815i 0.0318546 + 0.0678100i
\(643\) 29.4860i 1.16282i 0.813612 + 0.581408i \(0.197498\pi\)
−0.813612 + 0.581408i \(0.802502\pi\)
\(644\) −19.6799 + 5.02542i −0.775497 + 0.198029i
\(645\) −9.96264 + 6.67358i −0.392278 + 0.262772i
\(646\) −2.43018 2.59128i −0.0956140 0.101952i
\(647\) 2.97516 + 18.7844i 0.116965 + 0.738491i 0.974554 + 0.224154i \(0.0719619\pi\)
−0.857588 + 0.514337i \(0.828038\pi\)
\(648\) 5.22503 + 6.34134i 0.205258 + 0.249111i
\(649\) −31.9167 −1.25284
\(650\) 11.5963 9.32222i 0.454846 0.365648i
\(651\) 1.76240 + 1.76240i 0.0690739 + 0.0690739i
\(652\) 22.2200 + 18.4312i 0.870203 + 0.721820i
\(653\) 22.4001 + 16.2747i 0.876585 + 0.636876i 0.932346 0.361568i \(-0.117758\pi\)
−0.0557606 + 0.998444i \(0.517758\pi\)
\(654\) 11.6729 + 0.374502i 0.456446 + 0.0146442i
\(655\) 14.9759 26.8145i 0.585158 1.04773i
\(656\) −2.78887 + 21.6197i −0.108887 + 0.844109i
\(657\) −8.05143 8.05143i −0.314116 0.314116i
\(658\) −16.8275 35.8212i −0.656003 1.39646i
\(659\) −14.9033 + 29.2494i −0.580551 + 1.13939i 0.394807 + 0.918764i \(0.370812\pi\)
−0.975357 + 0.220631i \(0.929188\pi\)
\(660\) 13.5176 0.741880i 0.526171 0.0288776i
\(661\) −5.12228 10.0530i −0.199234 0.391018i 0.769675 0.638436i \(-0.220418\pi\)
−0.968909 + 0.247417i \(0.920418\pi\)
\(662\) −20.0947 15.6082i −0.781002 0.606628i
\(663\) 4.50103 + 2.29339i 0.174805 + 0.0890678i
\(664\) −1.15516 + 0.951808i −0.0448289 + 0.0369373i
\(665\) −1.64520 5.80759i −0.0637980 0.225209i
\(666\) −8.09262 + 1.01694i −0.313583 + 0.0394057i
\(667\) −10.2176 14.0633i −0.395627 0.544534i
\(668\) 3.24090 + 7.51632i 0.125394 + 0.290815i
\(669\) 1.16597 7.36164i 0.0450790 0.284617i
\(670\) 38.9226 + 9.00103i 1.50371 + 0.347740i
\(671\) 25.1998 34.6845i 0.972826 1.33898i
\(672\) 10.3533 10.2856i 0.399386 0.396774i
\(673\) 19.2967 + 37.8719i 0.743833 + 1.45985i 0.882895 + 0.469570i \(0.155591\pi\)
−0.139062 + 0.990284i \(0.544409\pi\)
\(674\) −38.5093 + 26.1340i −1.48332 + 1.00664i
\(675\) 11.8525 + 19.2410i 0.456203 + 0.740586i
\(676\) 15.9326 + 6.33235i 0.612791 + 0.243552i
\(677\) −4.28517 + 13.1884i −0.164692 + 0.506871i −0.999013 0.0444077i \(-0.985860\pi\)
0.834321 + 0.551279i \(0.185860\pi\)
\(678\) 21.7224 + 0.696921i 0.834245 + 0.0267651i
\(679\) 21.4007 29.4556i 0.821285 1.13040i
\(680\) −7.66534 + 15.9301i −0.293952 + 0.610891i
\(681\) −12.8208 17.6463i −0.491295 0.676209i
\(682\) 2.70408 + 3.98456i 0.103545 + 0.152577i
\(683\) −31.1126 + 22.6046i −1.19049 + 0.864942i −0.993316 0.115426i \(-0.963177\pi\)
−0.197175 + 0.980368i \(0.563177\pi\)
\(684\) −3.05366 + 2.68505i −0.116760 + 0.102666i
\(685\) −12.6474 13.6501i −0.483233 0.521542i
\(686\) −20.3085 + 5.88572i −0.775383 + 0.224718i
\(687\) 9.48509 + 4.83290i 0.361879 + 0.184387i
\(688\) −10.6931 + 22.5701i −0.407671 + 0.860476i
\(689\) −27.6182 8.97369i −1.05217 0.341870i
\(690\) 4.86337 + 7.78937i 0.185145 + 0.296536i
\(691\) −2.49455 1.27104i −0.0948971 0.0483525i 0.405898 0.913918i \(-0.366959\pi\)
−0.500795 + 0.865566i \(0.666959\pi\)
\(692\) 36.9555 9.43688i 1.40484 0.358736i
\(693\) 23.9507i 0.909811i
\(694\) −18.5934 + 8.73448i −0.705795 + 0.331556i
\(695\) −0.0649413 0.543277i −0.00246336 0.0206077i
\(696\) 11.4530 + 4.98294i 0.434124 + 0.188878i
\(697\) 15.0455 2.38297i 0.569889 0.0902615i
\(698\) 2.06287 0.597850i 0.0780806 0.0226290i
\(699\) −1.39907 + 1.39907i −0.0529176 + 0.0529176i
\(700\) −24.0022 + 18.0594i −0.907198 + 0.682580i
\(701\) −3.93644 3.93644i −0.148677 0.148677i 0.628850 0.777527i \(-0.283526\pi\)
−0.777527 + 0.628850i \(0.783526\pi\)
\(702\) 6.48714 11.7817i 0.244841 0.444673i
\(703\) −0.358398 2.26283i −0.0135172 0.0853444i
\(704\) 23.3828 15.7567i 0.881272 0.593854i
\(705\) −13.1251 + 12.1610i −0.494320 + 0.458011i
\(706\) 18.1533 + 6.54903i 0.683207 + 0.246476i
\(707\) 22.8796 0.860475
\(708\) 13.3788 + 7.93591i 0.502806 + 0.298250i
\(709\) −9.89040 + 19.4110i −0.371442 + 0.728995i −0.998761 0.0497669i \(-0.984152\pi\)
0.627319 + 0.778762i \(0.284152\pi\)
\(710\) −2.74058 31.4579i −0.102852 1.18059i
\(711\) 4.59852 14.1528i 0.172458 0.530771i
\(712\) 30.4768 + 7.88908i 1.14217 + 0.295656i
\(713\) −1.48291 + 2.91038i −0.0555356 + 0.108995i
\(714\) −8.93356 4.91890i −0.334330 0.184085i
\(715\) 6.96024 + 15.0519i 0.260298 + 0.562909i
\(716\) 36.3967 32.0032i 1.36021 1.19602i
\(717\) −12.3757 17.0337i −0.462180 0.636137i
\(718\) 8.93940 + 1.71136i 0.333615 + 0.0638674i
\(719\) 13.9697 10.1496i 0.520982 0.378515i −0.295992 0.955190i \(-0.595650\pi\)
0.816974 + 0.576675i \(0.195650\pi\)
\(720\) 17.9430 + 9.35396i 0.668694 + 0.348602i
\(721\) −25.0593 18.2066i −0.933255 0.678050i
\(722\) 17.5996 + 18.7664i 0.654991 + 0.698412i
\(723\) 2.68731 + 0.873160i 0.0999421 + 0.0324732i
\(724\) 19.6707 8.48166i 0.731057 0.315218i
\(725\) −21.9501 13.3810i −0.815205 0.496956i
\(726\) −0.324841 + 1.69683i −0.0120560 + 0.0629752i
\(727\) 2.58631 1.31779i 0.0959209 0.0488742i −0.405372 0.914152i \(-0.632858\pi\)
0.501293 + 0.865278i \(0.332858\pi\)
\(728\) 16.3926 + 7.13203i 0.607549 + 0.264331i
\(729\) 4.10469 + 2.98223i 0.152025 + 0.110453i
\(730\) −14.7549 5.96766i −0.546103 0.220873i
\(731\) 17.2377 + 2.73018i 0.637558 + 0.100979i
\(732\) −19.1873 + 8.27321i −0.709183 + 0.305787i
\(733\) 38.8774 28.2461i 1.43597 1.04329i 0.447102 0.894483i \(-0.352456\pi\)
0.988866 0.148809i \(-0.0475441\pi\)
\(734\) 20.0508 25.8144i 0.740090 0.952826i
\(735\) −2.16170 3.22709i −0.0797356 0.119033i
\(736\) 17.0127 + 8.73884i 0.627098 + 0.322118i
\(737\) −20.2145 + 39.6732i −0.744611 + 1.46138i
\(738\) −2.17394 17.2998i −0.0800238 0.636813i
\(739\) −35.5137 + 18.0951i −1.30639 + 0.665641i −0.961965 0.273172i \(-0.911927\pi\)
−0.344428 + 0.938813i \(0.611927\pi\)
\(740\) −9.85934 + 5.72478i −0.362437 + 0.210447i
\(741\) 1.44714 + 0.737352i 0.0531619 + 0.0270873i
\(742\) 55.1461 + 19.8947i 2.02448 + 0.730358i
\(743\) 11.5882 11.5882i 0.425130 0.425130i −0.461836 0.886966i \(-0.652809\pi\)
0.886966 + 0.461836i \(0.152809\pi\)
\(744\) −0.142755 2.34259i −0.00523365 0.0858837i
\(745\) −20.1324 43.5373i −0.737593 1.59508i
\(746\) 18.5183 + 19.7460i 0.678004 + 0.722951i
\(747\) 0.703693 0.968551i 0.0257468 0.0354374i
\(748\) −15.1654 12.5794i −0.554500 0.459949i
\(749\) 3.31940 3.31940i 0.121288 0.121288i
\(750\) 11.0712 + 7.86439i 0.404264 + 0.287167i
\(751\) 2.19590i 0.0801294i −0.999197 0.0400647i \(-0.987244\pi\)
0.999197 0.0400647i \(-0.0127564\pi\)
\(752\) −10.4910 + 35.7597i −0.382568 + 1.30402i
\(753\) −9.01869 + 1.42842i −0.328659 + 0.0520545i
\(754\) −0.490607 + 15.2918i −0.0178668 + 0.556894i
\(755\) −2.52709 0.928957i −0.0919701 0.0338082i
\(756\) −13.8522 + 23.3529i −0.503801 + 0.849336i
\(757\) 9.99597 0.363310 0.181655 0.983362i \(-0.441855\pi\)
0.181655 + 0.983362i \(0.441855\pi\)
\(758\) 21.2539 + 7.66762i 0.771975 + 0.278500i
\(759\) −9.73398 + 3.16276i −0.353321 + 0.114801i
\(760\) −2.46450 + 5.12172i −0.0893968 + 0.185784i
\(761\) −8.42211 2.73651i −0.305301 0.0991984i 0.152360 0.988325i \(-0.451313\pi\)
−0.457661 + 0.889127i \(0.651313\pi\)
\(762\) −8.19871 6.36819i −0.297008 0.230695i
\(763\) −8.92477 27.4676i −0.323098 0.994394i
\(764\) 42.0742 + 34.8999i 1.52219 + 1.26263i
\(765\) 2.74247 13.8716i 0.0991543 0.501527i
\(766\) 41.0634 + 31.8952i 1.48368 + 1.15242i
\(767\) −2.98080 + 18.8200i −0.107630 + 0.679551i
\(768\) −13.7194 + 0.790879i −0.495055 + 0.0285384i
\(769\) −30.1904 41.5536i −1.08870 1.49846i −0.849573 0.527471i \(-0.823140\pi\)
−0.239122 0.970989i \(-0.576860\pi\)
\(770\) −13.0697 30.8218i −0.471001 1.11074i
\(771\) 8.22291 1.30238i 0.296141 0.0469041i
\(772\) 9.30447 + 2.09262i 0.334875 + 0.0753150i
\(773\) −12.3027 3.99740i −0.442499 0.143777i