Properties

Label 483.2.y.b.340.5
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.5
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.356781 - 1.47067i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-0.257912 + 0.132963i) q^{4} +(-2.60174 + 1.04158i) q^{5} +(-1.27309 + 0.818168i) q^{6} +(-1.21008 + 2.35281i) q^{7} +(-1.69448 - 1.95553i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.356781 - 1.47067i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(-0.257912 + 0.132963i) q^{4} +(-2.60174 + 1.04158i) q^{5} +(-1.27309 + 0.818168i) q^{6} +(-1.21008 + 2.35281i) q^{7} +(-1.69448 - 1.95553i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(2.46007 + 3.45469i) q^{10} +(0.502644 - 2.07193i) q^{11} +(0.210005 + 0.200239i) q^{12} +(-0.526237 + 1.15230i) q^{13} +(3.89194 + 0.940185i) q^{14} +(1.83524 + 2.11798i) q^{15} +(-2.60802 + 3.66245i) q^{16} +(0.0871720 + 1.82996i) q^{17} +(1.18956 + 0.935479i) q^{18} +(-0.325233 + 6.82747i) q^{19} +(0.532528 - 0.614570i) q^{20} +(2.61918 + 0.373993i) q^{21} -3.22646 q^{22} +(4.76909 + 0.505765i) q^{23} +(-1.29377 + 2.24088i) q^{24} +(2.06549 - 1.96944i) q^{25} +(1.88240 + 0.362804i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-0.000743475 - 0.767712i) q^{28} +(-6.31168 + 4.05627i) q^{29} +(2.46007 - 3.45469i) q^{30} +(-4.86378 + 0.937417i) q^{31} +(1.51237 + 0.605461i) q^{32} +(-2.12237 + 0.202662i) q^{33} +(2.66018 - 0.781098i) q^{34} +(0.697662 - 7.38179i) q^{35} +(0.120540 - 0.263946i) q^{36} +(6.22977 - 4.89915i) q^{37} +(10.1570 - 1.95760i) q^{38} +(1.26104 + 0.120415i) q^{39} +(6.44543 + 3.32285i) q^{40} +(-0.570516 + 3.96802i) q^{41} +(-0.384454 - 3.98539i) q^{42} +(-2.40572 + 2.77634i) q^{43} +(0.145851 + 0.601207i) q^{44} +(1.40124 - 2.42703i) q^{45} +(-0.957706 - 7.19421i) q^{46} +(-5.93354 - 10.2772i) q^{47} +(4.31401 + 1.26671i) q^{48} +(-4.07143 - 5.69416i) q^{49} +(-3.63333 - 2.33500i) q^{50} +(1.70081 - 0.680900i) q^{51} +(-0.0174900 - 0.367161i) q^{52} +(-10.2735 - 0.980999i) q^{53} +(0.494962 - 1.43010i) q^{54} +(0.850327 + 5.91416i) q^{55} +(6.65144 - 1.62044i) q^{56} +(6.55834 - 1.92570i) q^{57} +(8.21733 + 7.83521i) q^{58} +(5.34769 + 7.50977i) q^{59} +(-0.754942 - 0.302233i) q^{60} +(-0.324726 + 0.938234i) q^{61} +(3.11394 + 6.81857i) q^{62} +(-0.503227 - 2.59745i) q^{63} +(-0.928885 + 6.46053i) q^{64} +(0.168922 - 3.54610i) q^{65} +(1.05527 + 3.04900i) q^{66} +(-1.72332 + 1.64319i) q^{67} +(-0.265800 - 0.460379i) q^{68} +(-1.08187 - 4.67221i) q^{69} +(-11.1051 + 1.60765i) q^{70} +(-11.1392 - 3.27078i) q^{71} +(2.54078 + 0.489695i) q^{72} +(-2.50157 + 1.28965i) q^{73} +(-9.42770 - 7.41403i) q^{74} +(-2.53668 - 1.30775i) q^{75} +(-0.823918 - 1.80413i) q^{76} +(4.26661 + 3.68981i) q^{77} +(-0.272824 - 1.89754i) q^{78} +(-0.377582 + 0.0360547i) q^{79} +(2.97065 - 12.2452i) q^{80} +(0.235759 - 0.971812i) q^{81} +(6.03921 - 0.576675i) q^{82} +(0.292112 + 2.03169i) q^{83} +(-0.725246 + 0.251797i) q^{84} +(-2.13285 - 4.67030i) q^{85} +(4.94141 + 2.54747i) q^{86} +(5.89753 + 4.63787i) q^{87} +(-4.90344 + 2.52790i) q^{88} +(6.95170 + 1.33983i) q^{89} +(-4.06930 - 1.19485i) q^{90} +(-2.07435 - 2.63251i) q^{91} +(-1.29725 + 0.503668i) q^{92} +(2.47665 + 4.28968i) q^{93} +(-12.9974 + 12.3930i) q^{94} +(-6.26518 - 18.1021i) q^{95} +(0.0775139 - 1.62722i) q^{96} +(0.884602 - 6.15254i) q^{97} +(-6.92162 + 8.01931i) q^{98} +(0.885675 + 1.93936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.356781 1.47067i −0.252282 1.03992i −0.947152 0.320786i \(-0.896053\pi\)
0.694869 0.719136i \(-0.255462\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) −0.257912 + 0.132963i −0.128956 + 0.0664814i
\(5\) −2.60174 + 1.04158i −1.16353 + 0.465809i −0.871402 0.490570i \(-0.836789\pi\)
−0.292131 + 0.956378i \(0.594364\pi\)
\(6\) −1.27309 + 0.818168i −0.519739 + 0.334016i
\(7\) −1.21008 + 2.35281i −0.457366 + 0.889279i
\(8\) −1.69448 1.95553i −0.599089 0.691385i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 2.46007 + 3.45469i 0.777943 + 1.09247i
\(11\) 0.502644 2.07193i 0.151553 0.624709i −0.844469 0.535604i \(-0.820084\pi\)
0.996022 0.0891054i \(-0.0284008\pi\)
\(12\) 0.210005 + 0.200239i 0.0606231 + 0.0578040i
\(13\) −0.526237 + 1.15230i −0.145952 + 0.319590i −0.968462 0.249160i \(-0.919846\pi\)
0.822510 + 0.568750i \(0.192573\pi\)
\(14\) 3.89194 + 0.940185i 1.04017 + 0.251275i
\(15\) 1.83524 + 2.11798i 0.473857 + 0.546860i
\(16\) −2.60802 + 3.66245i −0.652004 + 0.915612i
\(17\) 0.0871720 + 1.82996i 0.0211423 + 0.443832i 0.984475 + 0.175523i \(0.0561617\pi\)
−0.963333 + 0.268309i \(0.913535\pi\)
\(18\) 1.18956 + 0.935479i 0.280381 + 0.220494i
\(19\) −0.325233 + 6.82747i −0.0746135 + 1.56633i 0.582685 + 0.812698i \(0.302002\pi\)
−0.657298 + 0.753631i \(0.728301\pi\)
\(20\) 0.532528 0.614570i 0.119077 0.137422i
\(21\) 2.61918 + 0.373993i 0.571553 + 0.0816120i
\(22\) −3.22646 −0.687883
\(23\) 4.76909 + 0.505765i 0.994424 + 0.105459i
\(24\) −1.29377 + 2.24088i −0.264090 + 0.457417i
\(25\) 2.06549 1.96944i 0.413098 0.393889i
\(26\) 1.88240 + 0.362804i 0.369170 + 0.0711517i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) −0.000743475 0.767712i −0.000140504 0.145084i
\(29\) −6.31168 + 4.05627i −1.17205 + 0.753231i −0.973908 0.226942i \(-0.927127\pi\)
−0.198142 + 0.980173i \(0.563491\pi\)
\(30\) 2.46007 3.45469i 0.449146 0.630737i
\(31\) −4.86378 + 0.937417i −0.873561 + 0.168365i −0.606278 0.795253i \(-0.707338\pi\)
−0.267283 + 0.963618i \(0.586126\pi\)
\(32\) 1.51237 + 0.605461i 0.267352 + 0.107031i
\(33\) −2.12237 + 0.202662i −0.369457 + 0.0352789i
\(34\) 2.66018 0.781098i 0.456216 0.133957i
\(35\) 0.697662 7.38179i 0.117926 1.24775i
\(36\) 0.120540 0.263946i 0.0200900 0.0439910i
\(37\) 6.22977 4.89915i 1.02417 0.805415i 0.0430986 0.999071i \(-0.486277\pi\)
0.981069 + 0.193656i \(0.0620346\pi\)
\(38\) 10.1570 1.95760i 1.64768 0.317565i
\(39\) 1.26104 + 0.120415i 0.201928 + 0.0192818i
\(40\) 6.44543 + 3.32285i 1.01911 + 0.525389i
\(41\) −0.570516 + 3.96802i −0.0890996 + 0.619701i 0.895524 + 0.445013i \(0.146801\pi\)
−0.984624 + 0.174688i \(0.944108\pi\)
\(42\) −0.384454 3.98539i −0.0593226 0.614960i
\(43\) −2.40572 + 2.77634i −0.366868 + 0.423389i −0.908929 0.416951i \(-0.863099\pi\)
0.542061 + 0.840339i \(0.317644\pi\)
\(44\) 0.145851 + 0.601207i 0.0219879 + 0.0906353i
\(45\) 1.40124 2.42703i 0.208885 0.361800i
\(46\) −0.957706 7.19421i −0.141206 1.06073i
\(47\) −5.93354 10.2772i −0.865496 1.49908i −0.866554 0.499084i \(-0.833670\pi\)
0.00105773 0.999999i \(-0.499663\pi\)
\(48\) 4.31401 + 1.26671i 0.622674 + 0.182834i
\(49\) −4.07143 5.69416i −0.581634 0.813451i
\(50\) −3.63333 2.33500i −0.513831 0.330219i
\(51\) 1.70081 0.680900i 0.238161 0.0953451i
\(52\) −0.0174900 0.367161i −0.00242543 0.0509161i
\(53\) −10.2735 0.980999i −1.41117 0.134751i −0.638532 0.769595i \(-0.720458\pi\)
−0.772640 + 0.634845i \(0.781064\pi\)
\(54\) 0.494962 1.43010i 0.0673558 0.194612i
\(55\) 0.850327 + 5.91416i 0.114658 + 0.797465i
\(56\) 6.65144 1.62044i 0.888837 0.216541i
\(57\) 6.55834 1.92570i 0.868673 0.255065i
\(58\) 8.21733 + 7.83521i 1.07899 + 1.02881i
\(59\) 5.34769 + 7.50977i 0.696209 + 0.977689i 0.999691 + 0.0248520i \(0.00791146\pi\)
−0.303482 + 0.952837i \(0.598149\pi\)
\(60\) −0.754942 0.302233i −0.0974626 0.0390181i
\(61\) −0.324726 + 0.938234i −0.0415769 + 0.120129i −0.963878 0.266342i \(-0.914185\pi\)
0.922302 + 0.386471i \(0.126306\pi\)
\(62\) 3.11394 + 6.81857i 0.395471 + 0.865960i
\(63\) −0.503227 2.59745i −0.0634007 0.327248i
\(64\) −0.928885 + 6.46053i −0.116111 + 0.807567i
\(65\) 0.168922 3.54610i 0.0209521 0.439840i
\(66\) 1.05527 + 3.04900i 0.129895 + 0.375306i
\(67\) −1.72332 + 1.64319i −0.210538 + 0.200747i −0.788009 0.615664i \(-0.788888\pi\)
0.577471 + 0.816411i \(0.304040\pi\)
\(68\) −0.265800 0.460379i −0.0322330 0.0558291i
\(69\) −1.08187 4.67221i −0.130242 0.562468i
\(70\) −11.1051 + 1.60765i −1.32731 + 0.192151i
\(71\) −11.1392 3.27078i −1.32199 0.388170i −0.456776 0.889582i \(-0.650996\pi\)
−0.865209 + 0.501412i \(0.832814\pi\)
\(72\) 2.54078 + 0.489695i 0.299434 + 0.0577111i
\(73\) −2.50157 + 1.28965i −0.292787 + 0.150942i −0.598362 0.801226i \(-0.704182\pi\)
0.305575 + 0.952168i \(0.401151\pi\)
\(74\) −9.42770 7.41403i −1.09595 0.861863i
\(75\) −2.53668 1.30775i −0.292911 0.151006i
\(76\) −0.823918 1.80413i −0.0945099 0.206948i
\(77\) 4.26661 + 3.68981i 0.486226 + 0.420493i
\(78\) −0.272824 1.89754i −0.0308913 0.214854i
\(79\) −0.377582 + 0.0360547i −0.0424813 + 0.00405647i −0.116275 0.993217i \(-0.537095\pi\)
0.0737938 + 0.997274i \(0.476489\pi\)
\(80\) 2.97065 12.2452i 0.332129 1.36905i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 6.03921 0.576675i 0.666919 0.0636831i
\(83\) 0.292112 + 2.03169i 0.0320635 + 0.223006i 0.999553 0.0299058i \(-0.00952072\pi\)
−0.967489 + 0.252912i \(0.918612\pi\)
\(84\) −0.725246 + 0.251797i −0.0791308 + 0.0274733i
\(85\) −2.13285 4.67030i −0.231340 0.506565i
\(86\) 4.94141 + 2.54747i 0.532845 + 0.274701i
\(87\) 5.89753 + 4.63787i 0.632282 + 0.497232i
\(88\) −4.90344 + 2.52790i −0.522708 + 0.269475i
\(89\) 6.95170 + 1.33983i 0.736879 + 0.142022i 0.543863 0.839174i \(-0.316961\pi\)
0.193016 + 0.981196i \(0.438173\pi\)
\(90\) −4.06930 1.19485i −0.428941 0.125949i
\(91\) −2.07435 2.63251i −0.217451 0.275962i
\(92\) −1.29725 + 0.503668i −0.135248 + 0.0525110i
\(93\) 2.47665 + 4.28968i 0.256816 + 0.444819i
\(94\) −12.9974 + 12.3930i −1.34058 + 1.27824i
\(95\) −6.26518 18.1021i −0.642794 1.85723i
\(96\) 0.0775139 1.62722i 0.00791123 0.166077i
\(97\) 0.884602 6.15254i 0.0898178 0.624696i −0.894338 0.447391i \(-0.852353\pi\)
0.984156 0.177305i \(-0.0567378\pi\)
\(98\) −6.92162 + 8.01931i −0.699190 + 0.810073i
\(99\) 0.885675 + 1.93936i 0.0890137 + 0.194913i
\(100\) −0.270852 + 0.782576i −0.0270852 + 0.0782576i
\(101\) −10.1072 4.04630i −1.00570 0.402622i −0.190430 0.981701i \(-0.560988\pi\)
−0.815272 + 0.579079i \(0.803412\pi\)
\(102\) −1.60820 2.25840i −0.159235 0.223615i
\(103\) 2.30052 + 2.19355i 0.226677 + 0.216137i 0.794903 0.606736i \(-0.207522\pi\)
−0.568226 + 0.822873i \(0.692370\pi\)
\(104\) 3.14506 0.923472i 0.308398 0.0905538i
\(105\) −7.20398 + 1.75506i −0.703037 + 0.171276i
\(106\) 2.22266 + 15.4589i 0.215884 + 1.50150i
\(107\) −5.09416 + 14.7186i −0.492471 + 1.42290i 0.375748 + 0.926722i \(0.377386\pi\)
−0.868219 + 0.496181i \(0.834735\pi\)
\(108\) −0.288854 0.0275822i −0.0277950 0.00265410i
\(109\) −0.294898 6.19067i −0.0282461 0.592958i −0.967976 0.251041i \(-0.919227\pi\)
0.939730 0.341917i \(-0.111076\pi\)
\(110\) 8.39440 3.36061i 0.800375 0.320422i
\(111\) −6.66726 4.28478i −0.632828 0.406694i
\(112\) −5.46115 10.5680i −0.516030 0.998583i
\(113\) −6.51134 1.91190i −0.612535 0.179857i −0.0392730 0.999229i \(-0.512504\pi\)
−0.573262 + 0.819372i \(0.694322\pi\)
\(114\) −5.17197 8.95811i −0.484399 0.839004i
\(115\) −12.9347 + 3.65151i −1.20617 + 0.340506i
\(116\) 1.08852 1.88538i 0.101067 0.175053i
\(117\) −0.298653 1.23107i −0.0276105 0.113812i
\(118\) 9.13646 10.5440i 0.841079 0.970657i
\(119\) −4.41105 2.00930i −0.404360 0.184192i
\(120\) 1.03200 7.17774i 0.0942086 0.655235i
\(121\) 5.73696 + 2.95761i 0.521542 + 0.268874i
\(122\) 1.49569 + 0.142821i 0.135413 + 0.0129304i
\(123\) 3.93638 0.758676i 0.354932 0.0684075i
\(124\) 1.12978 0.888473i 0.101458 0.0797872i
\(125\) 2.49844 5.47081i 0.223467 0.489324i
\(126\) −3.64046 + 1.66680i −0.324318 + 0.148491i
\(127\) 4.60508 1.35217i 0.408634 0.119986i −0.0709537 0.997480i \(-0.522604\pi\)
0.479588 + 0.877494i \(0.340786\pi\)
\(128\) 13.0761 1.24862i 1.15578 0.110363i
\(129\) 3.41048 + 1.36535i 0.300276 + 0.120212i
\(130\) −5.27542 + 1.01675i −0.462685 + 0.0891752i
\(131\) −10.7201 + 15.0543i −0.936623 + 1.31530i 0.0123423 + 0.999924i \(0.496071\pi\)
−0.948966 + 0.315380i \(0.897868\pi\)
\(132\) 0.520438 0.334465i 0.0452983 0.0291114i
\(133\) −15.6702 9.02697i −1.35878 0.782737i
\(134\) 3.03144 + 1.94819i 0.261876 + 0.168298i
\(135\) −2.75184 0.530374i −0.236841 0.0456474i
\(136\) 3.43084 3.27130i 0.294192 0.280512i
\(137\) 7.30662 12.6554i 0.624246 1.08123i −0.364440 0.931227i \(-0.618739\pi\)
0.988686 0.150000i \(-0.0479272\pi\)
\(138\) −6.48530 + 3.25803i −0.552065 + 0.277342i
\(139\) −9.31938 −0.790460 −0.395230 0.918582i \(-0.629335\pi\)
−0.395230 + 0.918582i \(0.629335\pi\)
\(140\) 0.801568 + 1.99661i 0.0677448 + 0.168745i
\(141\) −7.77129 + 8.96854i −0.654460 + 0.755288i
\(142\) −0.835968 + 17.5491i −0.0701529 + 1.47269i
\(143\) 2.12297 + 1.66952i 0.177531 + 0.139612i
\(144\) −0.213935 4.49105i −0.0178279 0.374254i
\(145\) 12.1964 17.1275i 1.01286 1.42236i
\(146\) 2.78917 + 3.21887i 0.230833 + 0.266396i
\(147\) −4.04935 + 5.70989i −0.333984 + 0.470943i
\(148\) −0.955327 + 2.09187i −0.0785274 + 0.171951i
\(149\) 6.55157 + 6.24691i 0.536725 + 0.511767i 0.909247 0.416257i \(-0.136658\pi\)
−0.372522 + 0.928023i \(0.621507\pi\)
\(150\) −1.01823 + 4.19721i −0.0831382 + 0.342700i
\(151\) −9.13760 12.8320i −0.743607 1.04425i −0.997039 0.0768973i \(-0.975499\pi\)
0.253432 0.967353i \(-0.418441\pi\)
\(152\) 13.9024 10.9330i 1.12764 0.886783i
\(153\) −1.19973 1.38456i −0.0969925 0.111935i
\(154\) 3.90426 7.59124i 0.314614 0.611720i
\(155\) 11.6779 7.50493i 0.937992 0.602811i
\(156\) −0.341247 + 0.136615i −0.0273216 + 0.0109379i
\(157\) −7.08310 + 3.65159i −0.565293 + 0.291429i −0.717087 0.696983i \(-0.754525\pi\)
0.151795 + 0.988412i \(0.451495\pi\)
\(158\) 0.187739 + 0.542435i 0.0149357 + 0.0431538i
\(159\) 2.43308 + 10.0293i 0.192956 + 0.795376i
\(160\) −4.56543 −0.360929
\(161\) −6.96093 + 10.6087i −0.548598 + 0.836086i
\(162\) −1.51333 −0.118898
\(163\) −5.27455 21.7420i −0.413135 1.70296i −0.674964 0.737851i \(-0.735841\pi\)
0.261829 0.965114i \(-0.415674\pi\)
\(164\) −0.380457 1.09926i −0.0297087 0.0858376i
\(165\) 5.31077 2.73789i 0.413443 0.213145i
\(166\) 2.88372 1.15447i 0.223820 0.0896041i
\(167\) −8.43599 + 5.42148i −0.652796 + 0.419527i −0.824687 0.565589i \(-0.808649\pi\)
0.171891 + 0.985116i \(0.445012\pi\)
\(168\) −3.70680 5.75562i −0.285986 0.444056i
\(169\) 7.46232 + 8.61198i 0.574025 + 0.662460i
\(170\) −6.10751 + 4.80300i −0.468425 + 0.368373i
\(171\) −3.96481 5.56780i −0.303197 0.425780i
\(172\) 0.251312 1.03592i 0.0191624 0.0789883i
\(173\) 16.6391 + 15.8654i 1.26505 + 1.20622i 0.967884 + 0.251396i \(0.0808896\pi\)
0.297165 + 0.954826i \(0.403959\pi\)
\(174\) 4.71666 10.3280i 0.357569 0.782966i
\(175\) 2.13432 + 7.24289i 0.161340 + 0.547511i
\(176\) 6.27741 + 7.24452i 0.473178 + 0.546076i
\(177\) 5.34769 7.50977i 0.401957 0.564469i
\(178\) −0.509785 10.7017i −0.0382100 0.802126i
\(179\) 10.4764 + 8.23870i 0.783040 + 0.615789i 0.927544 0.373715i \(-0.121916\pi\)
−0.144504 + 0.989504i \(0.546159\pi\)
\(180\) −0.0386933 + 0.812271i −0.00288403 + 0.0605431i
\(181\) −10.8135 + 12.4795i −0.803764 + 0.927594i −0.998581 0.0532461i \(-0.983043\pi\)
0.194817 + 0.980840i \(0.437589\pi\)
\(182\) −3.13146 + 3.98992i −0.232119 + 0.295753i
\(183\) 0.992839 0.0733928
\(184\) −7.09208 10.1831i −0.522835 0.750709i
\(185\) −11.1054 + 19.2351i −0.816485 + 1.41419i
\(186\) 5.42509 5.17281i 0.397787 0.379289i
\(187\) 3.83537 + 0.739207i 0.280470 + 0.0540561i
\(188\) 2.89681 + 1.86167i 0.211272 + 0.135776i
\(189\) −2.29001 + 1.32509i −0.166573 + 0.0963864i
\(190\) −24.3869 + 15.6725i −1.76921 + 1.13700i
\(191\) −4.31508 + 6.05968i −0.312228 + 0.438463i −0.940634 0.339423i \(-0.889768\pi\)
0.628406 + 0.777886i \(0.283708\pi\)
\(192\) 6.40902 1.23524i 0.462531 0.0891456i
\(193\) 20.9507 + 8.38739i 1.50806 + 0.603738i 0.970846 0.239706i \(-0.0770510\pi\)
0.537218 + 0.843443i \(0.319475\pi\)
\(194\) −9.36398 + 0.894152i −0.672295 + 0.0641964i
\(195\) −3.40632 + 1.00018i −0.243931 + 0.0716247i
\(196\) 1.80718 + 0.927241i 0.129084 + 0.0662315i
\(197\) 9.11794 19.9655i 0.649627 1.42248i −0.242254 0.970213i \(-0.577887\pi\)
0.891881 0.452271i \(-0.149386\pi\)
\(198\) 2.53617 1.99446i 0.180237 0.141740i
\(199\) 17.4575 3.36466i 1.23753 0.238515i 0.471818 0.881696i \(-0.343598\pi\)
0.765714 + 0.643181i \(0.222386\pi\)
\(200\) −7.35124 0.701958i −0.519811 0.0496360i
\(201\) 2.11646 + 1.09111i 0.149283 + 0.0769609i
\(202\) −2.34473 + 16.3080i −0.164975 + 1.14743i
\(203\) −1.90603 19.7586i −0.133777 1.38678i
\(204\) −0.348124 + 0.401756i −0.0243735 + 0.0281286i
\(205\) −2.64868 10.9180i −0.184992 0.762546i
\(206\) 2.40520 4.16593i 0.167578 0.290254i
\(207\) −4.06140 + 2.55050i −0.282287 + 0.177272i
\(208\) −2.84780 4.93253i −0.197459 0.342009i
\(209\) 13.9825 + 4.10564i 0.967192 + 0.283993i
\(210\) 5.15136 + 9.96852i 0.355477 + 0.687893i
\(211\) 9.56935 + 6.14985i 0.658781 + 0.423373i 0.826866 0.562400i \(-0.190122\pi\)
−0.168084 + 0.985773i \(0.553758\pi\)
\(212\) 2.78009 1.11298i 0.190937 0.0764397i
\(213\) 0.552403 + 11.5964i 0.0378500 + 0.794570i
\(214\) 23.4638 + 2.24052i 1.60395 + 0.153159i
\(215\) 3.36726 9.72907i 0.229645 0.663517i
\(216\) −0.368245 2.56120i −0.0250559 0.174268i
\(217\) 3.67998 12.5779i 0.249813 0.853844i
\(218\) −8.99922 + 2.64241i −0.609504 + 0.178967i
\(219\) 2.03691 + 1.94219i 0.137641 + 0.131241i
\(220\) −1.00567 1.41227i −0.0678024 0.0952151i
\(221\) −2.15454 0.862547i −0.144930 0.0580212i
\(222\) −3.92276 + 11.3341i −0.263278 + 0.760693i
\(223\) −9.90824 21.6960i −0.663505 1.45287i −0.879220 0.476416i \(-0.841936\pi\)
0.215715 0.976456i \(-0.430792\pi\)
\(224\) −3.25462 + 2.82566i −0.217458 + 0.188798i
\(225\) −0.406158 + 2.82489i −0.0270772 + 0.188326i
\(226\) −0.488657 + 10.2582i −0.0325050 + 0.682364i
\(227\) 1.48210 + 4.28224i 0.0983704 + 0.284222i 0.983439 0.181237i \(-0.0580102\pi\)
−0.885069 + 0.465460i \(0.845889\pi\)
\(228\) −1.43543 + 1.36868i −0.0950634 + 0.0906428i
\(229\) 6.12615 + 10.6108i 0.404828 + 0.701182i 0.994301 0.106606i \(-0.0339982\pi\)
−0.589474 + 0.807787i \(0.700665\pi\)
\(230\) 9.98504 + 17.7199i 0.658394 + 1.16842i
\(231\) 2.09140 5.23877i 0.137604 0.344686i
\(232\) 18.6272 + 5.46943i 1.22293 + 0.359086i
\(233\) 0.557676 + 0.107483i 0.0365346 + 0.00704146i 0.207486 0.978238i \(-0.433472\pi\)
−0.170951 + 0.985279i \(0.554684\pi\)
\(234\) −1.70394 + 0.878442i −0.111390 + 0.0574256i
\(235\) 26.1420 + 20.5583i 1.70532 + 1.34108i
\(236\) −2.37775 1.22582i −0.154778 0.0797938i
\(237\) 0.157567 + 0.345023i 0.0102351 + 0.0224116i
\(238\) −1.38124 + 7.20408i −0.0895324 + 0.466971i
\(239\) 1.00726 + 7.00562i 0.0651540 + 0.453156i 0.996117 + 0.0880419i \(0.0280609\pi\)
−0.930963 + 0.365114i \(0.881030\pi\)
\(240\) −12.5433 + 1.19774i −0.809668 + 0.0773139i
\(241\) 3.95542 16.3044i 0.254791 1.05026i −0.690318 0.723506i \(-0.742529\pi\)
0.945109 0.326756i \(-0.105955\pi\)
\(242\) 2.30283 9.49241i 0.148032 0.610195i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) −0.0409995 0.285158i −0.00262472 0.0182554i
\(245\) 16.5237 + 10.5740i 1.05566 + 0.675547i
\(246\) −2.52019 5.51845i −0.160681 0.351843i
\(247\) −7.69614 3.96763i −0.489693 0.252455i
\(248\) 10.0747 + 7.92285i 0.639746 + 0.503102i
\(249\) 1.82440 0.940545i 0.115617 0.0596046i
\(250\) −8.93716 1.72250i −0.565236 0.108940i
\(251\) 0.316295 + 0.0928725i 0.0199644 + 0.00586206i 0.291699 0.956510i \(-0.405779\pi\)
−0.271735 + 0.962372i \(0.587597\pi\)
\(252\) 0.475153 + 0.603003i 0.0299318 + 0.0379856i
\(253\) 3.44506 9.62698i 0.216589 0.605243i
\(254\) −3.63161 6.29013i −0.227867 0.394678i
\(255\) −3.71585 + 3.54305i −0.232695 + 0.221874i
\(256\) −2.23209 6.44919i −0.139505 0.403074i
\(257\) 0.373617 7.84319i 0.0233056 0.489245i −0.956797 0.290755i \(-0.906093\pi\)
0.980103 0.198490i \(-0.0636036\pi\)
\(258\) 0.791187 5.50283i 0.0492572 0.342591i
\(259\) 3.98827 + 20.5858i 0.247819 + 1.27914i
\(260\) 0.427932 + 0.937041i 0.0265392 + 0.0581128i
\(261\) 2.45390 7.09007i 0.151892 0.438864i
\(262\) 25.9647 + 10.3947i 1.60411 + 0.642187i
\(263\) −9.68215 13.5967i −0.597027 0.838407i 0.399915 0.916552i \(-0.369040\pi\)
−0.996942 + 0.0781449i \(0.975100\pi\)
\(264\) 3.99262 + 3.80696i 0.245729 + 0.234302i
\(265\) 27.7507 8.14835i 1.70471 0.500549i
\(266\) −7.68488 + 26.2664i −0.471190 + 1.61049i
\(267\) −1.00754 7.00758i −0.0616603 0.428857i
\(268\) 0.225983 0.652935i 0.0138041 0.0398844i
\(269\) 9.01450 + 0.860780i 0.549623 + 0.0524827i 0.366174 0.930546i \(-0.380668\pi\)
0.183450 + 0.983029i \(0.441274\pi\)
\(270\) 0.201799 + 4.23629i 0.0122811 + 0.257812i
\(271\) −10.5571 + 4.22643i −0.641300 + 0.256738i −0.669440 0.742866i \(-0.733466\pi\)
0.0281402 + 0.999604i \(0.491042\pi\)
\(272\) −6.92949 4.45332i −0.420162 0.270022i
\(273\) −1.80926 + 2.82127i −0.109502 + 0.170751i
\(274\) −21.2188 6.23042i −1.28188 0.376393i
\(275\) −3.04233 5.26947i −0.183460 0.317761i
\(276\) 0.900256 + 1.06117i 0.0541891 + 0.0638749i
\(277\) 4.90782 8.50059i 0.294882 0.510751i −0.680075 0.733142i \(-0.738053\pi\)
0.974958 + 0.222391i \(0.0713862\pi\)
\(278\) 3.32498 + 13.7058i 0.199419 + 0.822017i
\(279\) 3.24372 3.74345i 0.194196 0.224115i
\(280\) −15.6175 + 11.1440i −0.933324 + 0.665980i
\(281\) −1.19608 + 8.31891i −0.0713521 + 0.496265i 0.922539 + 0.385903i \(0.126110\pi\)
−0.993891 + 0.110362i \(0.964799\pi\)
\(282\) 15.9624 + 8.22921i 0.950549 + 0.490042i
\(283\) 19.9322 + 1.90329i 1.18484 + 0.113139i 0.668813 0.743431i \(-0.266803\pi\)
0.516031 + 0.856570i \(0.327409\pi\)
\(284\) 3.30783 0.637533i 0.196284 0.0378306i
\(285\) −15.0573 + 11.8412i −0.891919 + 0.701413i
\(286\) 1.69788 3.71784i 0.100398 0.219841i
\(287\) −8.64564 6.14392i −0.510336 0.362664i
\(288\) −1.56307 + 0.458960i −0.0921050 + 0.0270445i
\(289\) 13.5819 1.29691i 0.798932 0.0762888i
\(290\) −29.5404 11.8262i −1.73467 0.694457i
\(291\) −6.10348 + 1.17635i −0.357793 + 0.0689589i
\(292\) 0.473710 0.665232i 0.0277218 0.0389298i
\(293\) −6.02280 + 3.87062i −0.351855 + 0.226124i −0.704614 0.709590i \(-0.748880\pi\)
0.352759 + 0.935714i \(0.385244\pi\)
\(294\) 9.84210 + 3.91808i 0.574003 + 0.228507i
\(295\) −21.7353 13.9684i −1.26548 0.813274i
\(296\) −20.1367 3.88102i −1.17042 0.225580i
\(297\) 1.54302 1.47127i 0.0895350 0.0853715i
\(298\) 6.84967 11.8640i 0.396791 0.687262i
\(299\) −3.09246 + 5.22926i −0.178842 + 0.302416i
\(300\) 0.828122 0.0478116
\(301\) −3.62111 9.01978i −0.208718 0.519891i
\(302\) −15.6115 + 18.0166i −0.898340 + 1.03674i
\(303\) −0.518026 + 10.8747i −0.0297598 + 0.624735i
\(304\) −24.1570 18.9973i −1.38550 1.08957i
\(305\) −0.132393 2.77927i −0.00758079 0.159140i
\(306\) −1.60820 + 2.25840i −0.0919345 + 0.129104i
\(307\) −4.78344 5.52039i −0.273006 0.315065i 0.602646 0.798009i \(-0.294113\pi\)
−0.875652 + 0.482943i \(0.839568\pi\)
\(308\) −1.59102 0.384345i −0.0906566 0.0219001i
\(309\) 1.32047 2.89144i 0.0751192 0.164488i
\(310\) −15.2037 14.4967i −0.863515 0.823360i
\(311\) −2.37661 + 9.79652i −0.134765 + 0.555510i 0.863891 + 0.503679i \(0.168021\pi\)
−0.998656 + 0.0518303i \(0.983495\pi\)
\(312\) −1.90133 2.67004i −0.107642 0.151161i
\(313\) 24.3061 19.1145i 1.37386 1.08042i 0.386438 0.922315i \(-0.373705\pi\)
0.987423 0.158101i \(-0.0505372\pi\)
\(314\) 7.89740 + 9.11409i 0.445676 + 0.514338i
\(315\) 4.01472 + 6.23375i 0.226204 + 0.351232i
\(316\) 0.0925888 0.0595032i 0.00520853 0.00334732i
\(317\) −13.1724 + 5.27345i −0.739838 + 0.296186i −0.710802 0.703392i \(-0.751668\pi\)
−0.0290355 + 0.999578i \(0.509244\pi\)
\(318\) 13.8817 7.15653i 0.778449 0.401318i
\(319\) 5.23177 + 15.1162i 0.292923 + 0.846345i
\(320\) −4.31244 17.7761i −0.241073 0.993716i
\(321\) 15.5752 0.869326
\(322\) 18.0855 + 6.45224i 1.00787 + 0.359569i
\(323\) −12.5224 −0.696764
\(324\) 0.0684097 + 0.281989i 0.00380054 + 0.0156660i
\(325\) 1.18245 + 3.41646i 0.0655904 + 0.189511i
\(326\) −30.0935 + 15.5143i −1.66672 + 0.859256i
\(327\) −5.75373 + 2.30345i −0.318182 + 0.127381i
\(328\) 8.72633 5.60807i 0.481831 0.309654i
\(329\) 31.3603 1.52432i 1.72895 0.0840383i
\(330\) −5.92132 6.83357i −0.325958 0.376176i
\(331\) −28.2103 + 22.1848i −1.55058 + 1.21939i −0.673342 + 0.739331i \(0.735142\pi\)
−0.877237 + 0.480057i \(0.840616\pi\)
\(332\) −0.345478 0.485155i −0.0189605 0.0266264i
\(333\) −1.86848 + 7.70198i −0.102392 + 0.422066i
\(334\) 10.9830 + 10.4723i 0.600964 + 0.573018i
\(335\) 2.77213 6.07013i 0.151458 0.331646i
\(336\) −8.20061 + 8.61724i −0.447380 + 0.470109i
\(337\) 16.4753 + 19.0135i 0.897468 + 1.03573i 0.999163 + 0.0409171i \(0.0130280\pi\)
−0.101695 + 0.994816i \(0.532427\pi\)
\(338\) 10.0030 14.0472i 0.544090 0.764068i
\(339\) 0.322902 + 6.77854i 0.0175376 + 0.368160i
\(340\) 1.17106 + 0.920934i 0.0635098 + 0.0499447i
\(341\) −0.502491 + 10.5486i −0.0272114 + 0.571238i
\(342\) −6.77384 + 7.81742i −0.366287 + 0.422718i
\(343\) 18.3240 2.68896i 0.989404 0.145190i
\(344\) 9.50567 0.512511
\(345\) 7.68122 + 11.0290i 0.413543 + 0.593783i
\(346\) 17.3962 30.1312i 0.935227 1.61986i
\(347\) −3.37540 + 3.21844i −0.181201 + 0.172775i −0.775251 0.631653i \(-0.782377\pi\)
0.594050 + 0.804428i \(0.297528\pi\)
\(348\) −2.13771 0.412009i −0.114593 0.0220860i
\(349\) −18.9671 12.1894i −1.01528 0.652484i −0.0765292 0.997067i \(-0.524384\pi\)
−0.938756 + 0.344583i \(0.888020\pi\)
\(350\) 9.89042 5.72302i 0.528665 0.305908i
\(351\) −1.06568 + 0.684870i −0.0568817 + 0.0365557i
\(352\) 2.01465 2.82918i 0.107381 0.150796i
\(353\) −17.3360 + 3.34124i −0.922701 + 0.177836i −0.628412 0.777880i \(-0.716295\pi\)
−0.294289 + 0.955717i \(0.595083\pi\)
\(354\) −12.9524 5.18534i −0.688410 0.275598i
\(355\) 32.3882 3.09270i 1.71899 0.164143i
\(356\) −1.97107 + 0.578759i −0.104467 + 0.0306742i
\(357\) −0.456075 + 4.82562i −0.0241381 + 0.255399i
\(358\) 8.37866 18.3467i 0.442826 0.969653i
\(359\) −10.9574 + 8.61699i −0.578309 + 0.454787i −0.863970 0.503544i \(-0.832029\pi\)
0.285661 + 0.958331i \(0.407787\pi\)
\(360\) −7.12050 + 1.37236i −0.375284 + 0.0723300i
\(361\) −27.5946 2.63497i −1.45235 0.138682i
\(362\) 22.2113 + 11.4507i 1.16740 + 0.601837i
\(363\) 0.918567 6.38878i 0.0482123 0.335324i
\(364\) 0.885025 + 0.403142i 0.0463879 + 0.0211304i
\(365\) 5.16517 5.96092i 0.270357 0.312009i
\(366\) −0.354226 1.46014i −0.0185157 0.0763228i
\(367\) −14.4253 + 24.9853i −0.752994 + 1.30422i 0.193371 + 0.981126i \(0.438058\pi\)
−0.946365 + 0.323098i \(0.895276\pi\)
\(368\) −14.2902 + 16.1475i −0.744928 + 0.841746i
\(369\) −2.00441 3.47175i −0.104346 0.180732i
\(370\) 32.2507 + 9.46967i 1.67664 + 0.492304i
\(371\) 14.7398 22.9845i 0.765252 1.19329i
\(372\) −1.20912 0.777057i −0.0626901 0.0402885i
\(373\) 25.6523 10.2696i 1.32822 0.531741i 0.404408 0.914579i \(-0.367478\pi\)
0.923815 + 0.382838i \(0.125053\pi\)
\(374\) −0.281257 5.90430i −0.0145434 0.305304i
\(375\) −5.98708 0.571697i −0.309171 0.0295223i
\(376\) −10.0431 + 29.0177i −0.517935 + 1.49647i
\(377\) −1.35260 9.40751i −0.0696622 0.484511i
\(378\) 2.76581 + 2.89508i 0.142258 + 0.148907i
\(379\) −18.2486 + 5.35826i −0.937366 + 0.275235i −0.714517 0.699618i \(-0.753354\pi\)
−0.222848 + 0.974853i \(0.571535\pi\)
\(380\) 4.02276 + 3.83570i 0.206363 + 0.196767i
\(381\) −2.78398 3.90955i −0.142627 0.200292i
\(382\) 10.4513 + 4.18408i 0.534737 + 0.214076i
\(383\) 5.92681 17.1244i 0.302846 0.875015i −0.686201 0.727412i \(-0.740723\pi\)
0.989047 0.147603i \(-0.0471559\pi\)
\(384\) −5.45672 11.9485i −0.278462 0.609747i
\(385\) −14.9438 5.15592i −0.761609 0.262770i
\(386\) 4.86029 33.8040i 0.247382 1.72058i
\(387\) 0.174798 3.66947i 0.00888550 0.186530i
\(388\) 0.589910 + 1.70443i 0.0299481 + 0.0865294i
\(389\) 6.67668 6.36620i 0.338521 0.322779i −0.501681 0.865053i \(-0.667285\pi\)
0.840202 + 0.542273i \(0.182436\pi\)
\(390\) 2.68625 + 4.65273i 0.136024 + 0.235600i
\(391\) −0.509802 + 8.77135i −0.0257818 + 0.443586i
\(392\) −4.23615 + 17.6104i −0.213958 + 0.889462i
\(393\) 17.7326 + 5.20675i 0.894490 + 0.262646i
\(394\) −32.6158 6.28619i −1.64316 0.316693i
\(395\) 0.944816 0.487086i 0.0475388 0.0245080i
\(396\) −0.486288 0.382421i −0.0244369 0.0192174i
\(397\) 1.66956 + 0.860716i 0.0837926 + 0.0431981i 0.499614 0.866248i \(-0.333475\pi\)
−0.415821 + 0.909447i \(0.636506\pi\)
\(398\) −11.1768 24.4739i −0.560244 1.22676i
\(399\) −3.40527 + 17.7608i −0.170477 + 0.889151i
\(400\) 1.82614 + 12.7011i 0.0913071 + 0.635055i
\(401\) −8.29329 + 0.791913i −0.414147 + 0.0395462i −0.300050 0.953923i \(-0.597003\pi\)
−0.114097 + 0.993470i \(0.536397\pi\)
\(402\) 0.849552 3.50190i 0.0423718 0.174659i
\(403\) 1.47932 6.09783i 0.0736901 0.303755i
\(404\) 3.14477 0.300289i 0.156458 0.0149399i
\(405\) 0.398836 + 2.77396i 0.0198183 + 0.137839i
\(406\) −28.3784 + 9.85263i −1.40839 + 0.488978i
\(407\) −7.01931 15.3701i −0.347934 0.761870i
\(408\) −4.21350 2.17221i −0.208600 0.107541i
\(409\) −26.6078 20.9246i −1.31567 1.03465i −0.996203 0.0870561i \(-0.972254\pi\)
−0.319466 0.947598i \(-0.603504\pi\)
\(410\) −15.1118 + 7.79067i −0.746319 + 0.384754i
\(411\) −14.3492 2.76557i −0.707792 0.136416i
\(412\) −0.884992 0.259857i −0.0436004 0.0128022i
\(413\) −24.1402 + 3.49470i −1.18786 + 0.171963i
\(414\) 5.19997 + 5.06302i 0.255565 + 0.248834i
\(415\) −2.87616 4.98166i −0.141185 0.244540i
\(416\) −1.49354 + 1.42408i −0.0732267 + 0.0698215i
\(417\) 3.04807 + 8.80683i 0.149265 + 0.431272i
\(418\) 1.04935 22.0285i 0.0513253 1.07745i
\(419\) 0.463152 3.22129i 0.0226264 0.157370i −0.975376 0.220550i \(-0.929215\pi\)
0.998002 + 0.0631793i \(0.0201240\pi\)
\(420\) 1.62463 1.41051i 0.0792740 0.0688259i
\(421\) 8.30530 + 18.1861i 0.404776 + 0.886335i 0.996764 + 0.0803881i \(0.0256160\pi\)
−0.591988 + 0.805947i \(0.701657\pi\)
\(422\) 5.63024 16.2675i 0.274076 0.791891i
\(423\) 11.0170 + 4.41055i 0.535666 + 0.214448i
\(424\) 15.4898 + 21.7524i 0.752252 + 1.05639i
\(425\) 3.78406 + 3.60810i 0.183554 + 0.175018i
\(426\) 16.8574 4.94977i 0.816742 0.239817i
\(427\) −1.81454 1.89935i −0.0878119 0.0919161i
\(428\) −0.643183 4.47344i −0.0310894 0.216232i
\(429\) 0.883343 2.55225i 0.0426482 0.123224i
\(430\) −15.5096 1.48099i −0.747941 0.0714198i
\(431\) −0.602864 12.6557i −0.0290390 0.609603i −0.965746 0.259489i \(-0.916446\pi\)
0.936707 0.350114i \(-0.113857\pi\)
\(432\) −4.17407 + 1.67105i −0.200825 + 0.0803982i
\(433\) −11.4489 7.35776i −0.550199 0.353591i 0.235817 0.971797i \(-0.424223\pi\)
−0.786016 + 0.618206i \(0.787860\pi\)
\(434\) −19.8109 0.924482i −0.950954 0.0443766i
\(435\) −20.1745 5.92378i −0.967296 0.284024i
\(436\) 0.899185 + 1.55743i 0.0430632 + 0.0745876i
\(437\) −5.00416 + 32.3963i −0.239381 + 1.54973i
\(438\) 2.12959 3.68855i 0.101756 0.176246i
\(439\) −7.63908 31.4887i −0.364594 1.50288i −0.798543 0.601938i \(-0.794395\pi\)
0.433949 0.900937i \(-0.357120\pi\)
\(440\) 10.1245 11.6843i 0.482665 0.557025i
\(441\) 6.72026 + 1.95912i 0.320012 + 0.0932912i
\(442\) −0.499825 + 3.47636i −0.0237743 + 0.165354i
\(443\) −16.6195 8.56793i −0.789615 0.407075i 0.0157340 0.999876i \(-0.494992\pi\)
−0.805349 + 0.592802i \(0.798022\pi\)
\(444\) 2.28928 + 0.218600i 0.108644 + 0.0103743i
\(445\) −19.4821 + 3.75486i −0.923538 + 0.177997i
\(446\) −28.3726 + 22.3125i −1.34348 + 1.05653i
\(447\) 3.76052 8.23440i 0.177867 0.389474i
\(448\) −14.0764 10.0032i −0.665047 0.472608i
\(449\) 19.9687 5.86333i 0.942380 0.276708i 0.225769 0.974181i \(-0.427511\pi\)
0.716611 + 0.697473i \(0.245692\pi\)
\(450\) 4.29939 0.410542i 0.202675 0.0193532i
\(451\) 7.93469 + 3.17657i 0.373630 + 0.149579i
\(452\) 1.93356 0.372664i 0.0909471 0.0175286i
\(453\) −9.13760 + 12.8320i −0.429322 + 0.602898i
\(454\) 5.76899 3.70750i 0.270752 0.174002i
\(455\) 8.13889 + 4.68849i 0.381557 + 0.219800i
\(456\) −14.8787 9.56198i −0.696761 0.447781i
\(457\) 9.64582 + 1.85908i 0.451212 + 0.0869640i 0.409794 0.912178i \(-0.365600\pi\)
0.0414178 + 0.999142i \(0.486813\pi\)
\(458\) 13.4193 12.7953i 0.627044 0.597885i
\(459\) −0.916020 + 1.58659i −0.0427561 + 0.0740558i
\(460\) 2.85050 2.66160i 0.132905 0.124098i
\(461\) 2.66557 0.124148 0.0620740 0.998072i \(-0.480229\pi\)
0.0620740 + 0.998072i \(0.480229\pi\)
\(462\) −8.45069 1.20667i −0.393162 0.0561395i
\(463\) −25.5438 + 29.4791i −1.18712 + 1.37001i −0.274300 + 0.961644i \(0.588446\pi\)
−0.912819 + 0.408364i \(0.866099\pi\)
\(464\) 1.60509 33.6950i 0.0745145 1.56425i
\(465\) −10.9116 8.58100i −0.506015 0.397935i
\(466\) −0.0408957 0.858507i −0.00189446 0.0397696i
\(467\) −19.7175 + 27.6894i −0.912418 + 1.28131i 0.0468753 + 0.998901i \(0.485074\pi\)
−0.959293 + 0.282411i \(0.908866\pi\)
\(468\) 0.240712 + 0.277797i 0.0111269 + 0.0128412i
\(469\) −1.78075 6.04304i −0.0822276 0.279042i
\(470\) 20.9076 45.7812i 0.964394 2.11173i
\(471\) 5.76741 + 5.49921i 0.265748 + 0.253390i
\(472\) 5.62407 23.1827i 0.258869 1.06707i
\(473\) 4.54316 + 6.37998i 0.208895 + 0.293352i
\(474\) 0.451198 0.354826i 0.0207242 0.0162977i
\(475\) 12.7745 + 14.7426i 0.586136 + 0.676438i
\(476\) 1.40482 0.0682835i 0.0643899 0.00312977i
\(477\) 8.68192 5.57953i 0.397518 0.255469i
\(478\) 9.94360 3.98082i 0.454810 0.182078i
\(479\) 15.7322 8.11050i 0.718822 0.370578i −0.0596829 0.998217i \(-0.519009\pi\)
0.778504 + 0.627639i \(0.215979\pi\)
\(480\) 1.49320 + 4.31433i 0.0681552 + 0.196921i
\(481\) 2.36694 + 9.75667i 0.107923 + 0.444866i
\(482\) −25.3897 −1.15647
\(483\) 12.3020 + 3.10830i 0.559759 + 0.141433i
\(484\) −1.87288 −0.0851310
\(485\) 4.10686 + 16.9287i 0.186483 + 0.768693i
\(486\) 0.494962 + 1.43010i 0.0224519 + 0.0648706i
\(487\) 8.10920 4.18059i 0.367463 0.189440i −0.264598 0.964359i \(-0.585239\pi\)
0.632061 + 0.774918i \(0.282209\pi\)
\(488\) 2.38499 0.954805i 0.107963 0.0432220i
\(489\) −18.8211 + 12.0956i −0.851118 + 0.546980i
\(490\) 9.65551 28.0736i 0.436192 1.26824i
\(491\) 15.9457 + 18.4024i 0.719621 + 0.830486i 0.991261 0.131912i \(-0.0421117\pi\)
−0.271641 + 0.962399i \(0.587566\pi\)
\(492\) −0.914364 + 0.719064i −0.0412227 + 0.0324179i
\(493\) −7.97304 11.1966i −0.359088 0.504268i
\(494\) −3.08925 + 12.7341i −0.138992 + 0.572933i
\(495\) −4.32429 4.12320i −0.194362 0.185324i
\(496\) 9.25158 20.2581i 0.415408 0.909617i
\(497\) 21.1748 22.2506i 0.949822 0.998078i
\(498\) −2.03415 2.34753i −0.0911523 0.105195i
\(499\) −1.10586 + 1.55297i −0.0495052 + 0.0695203i −0.838587 0.544768i \(-0.816618\pi\)
0.789081 + 0.614289i \(0.210557\pi\)
\(500\) 0.0830381 + 1.74319i 0.00371358 + 0.0779576i
\(501\) 7.88244 + 6.19882i 0.352162 + 0.276943i
\(502\) 0.0237370 0.498301i 0.00105943 0.0222403i
\(503\) −23.3844 + 26.9870i −1.04266 + 1.20329i −0.0639664 + 0.997952i \(0.520375\pi\)
−0.978691 + 0.205339i \(0.934170\pi\)
\(504\) −4.22670 + 5.38541i −0.188272 + 0.239885i
\(505\) 30.5108 1.35771
\(506\) −15.3873 1.63183i −0.684047 0.0725437i
\(507\) 5.69764 9.86860i 0.253041 0.438280i
\(508\) −1.00791 + 0.961045i −0.0447190 + 0.0426395i
\(509\) 24.7608 + 4.77224i 1.09750 + 0.211526i 0.705691 0.708520i \(-0.250637\pi\)
0.391810 + 0.920046i \(0.371849\pi\)
\(510\) 6.53641 + 4.20070i 0.289437 + 0.186010i
\(511\) −0.00721122 7.44630i −0.000319005 0.329405i
\(512\) 13.4124 8.61965i 0.592751 0.380938i
\(513\) −3.96481 + 5.56780i −0.175051 + 0.245824i
\(514\) −11.6681 + 2.24884i −0.514656 + 0.0991919i
\(515\) −8.27012 3.31086i −0.364425 0.145894i
\(516\) −1.06114 + 0.101327i −0.0467142 + 0.00446067i
\(517\) −24.2760 + 7.12809i −1.06766 + 0.313493i
\(518\) 28.8520 13.2101i 1.26769 0.580417i
\(519\) 9.55067 20.9130i 0.419228 0.917981i
\(520\) −7.22075 + 5.67846i −0.316651 + 0.249017i
\(521\) 25.4427 4.90368i 1.11467 0.214834i 0.401520 0.915850i \(-0.368482\pi\)
0.713146 + 0.701016i \(0.247270\pi\)
\(522\) −11.3027 1.07927i −0.494704 0.0472385i
\(523\) −2.61056 1.34584i −0.114152 0.0588494i 0.400205 0.916426i \(-0.368939\pi\)
−0.514357 + 0.857576i \(0.671969\pi\)
\(524\) 0.763185 5.30807i 0.0333399 0.231884i
\(525\) 6.14646 4.38585i 0.268254 0.191414i
\(526\) −16.5418 + 19.0903i −0.721259 + 0.832377i
\(527\) −2.13943 8.81883i −0.0931949 0.384154i
\(528\) 4.79294 8.30161i 0.208586 0.361281i
\(529\) 22.4884 + 4.82408i 0.977757 + 0.209743i
\(530\) −21.8845 37.9050i −0.950601 1.64649i
\(531\) −8.84580 2.59736i −0.383875 0.112716i
\(532\) 5.24177 + 0.244609i 0.227260 + 0.0106051i
\(533\) −4.27212 2.74553i −0.185046 0.118922i
\(534\) −9.94638 + 3.98193i −0.430422 + 0.172315i
\(535\) −2.07692 43.6000i −0.0897933 1.88499i
\(536\) 6.13344 + 0.585673i 0.264924 + 0.0252972i
\(537\) 4.35910 12.5948i 0.188109 0.543505i
\(538\) −1.95028 13.5645i −0.0840824 0.584806i
\(539\) −13.8444 + 5.57358i −0.596318 + 0.240071i
\(540\) 0.780253 0.229103i 0.0335767 0.00985902i
\(541\) 5.06915 + 4.83343i 0.217940 + 0.207805i 0.791182 0.611581i \(-0.209466\pi\)
−0.573242 + 0.819386i \(0.694315\pi\)
\(542\) 9.98228 + 14.0181i 0.428776 + 0.602131i
\(543\) 15.3299 + 6.13716i 0.657869 + 0.263371i
\(544\) −0.976136 + 2.82036i −0.0418515 + 0.120922i
\(545\) 7.21532 + 15.7993i 0.309070 + 0.676769i
\(546\) 4.79468 + 1.65426i 0.205193 + 0.0707957i
\(547\) 3.82364 26.5940i 0.163487 1.13708i −0.728510 0.685036i \(-0.759787\pi\)
0.891997 0.452042i \(-0.149304\pi\)
\(548\) −0.201761 + 4.23549i −0.00861882 + 0.180931i
\(549\) −0.324726 0.938234i −0.0138590 0.0400428i
\(550\) −6.66422 + 6.35432i −0.284163 + 0.270949i
\(551\) −25.6413 44.4121i −1.09236 1.89202i
\(552\) −7.30346 + 10.0326i −0.310856 + 0.427015i
\(553\) 0.372073 0.932007i 0.0158221 0.0396330i
\(554\) −14.2526 4.18494i −0.605535 0.177801i
\(555\) 21.8094 + 4.20342i 0.925758 + 0.178425i
\(556\) 2.40358 1.23913i 0.101934 0.0525508i
\(557\) 31.4665 + 24.7455i 1.33328 + 1.04850i 0.994178 + 0.107751i \(0.0343649\pi\)
0.339100 + 0.940750i \(0.389878\pi\)
\(558\) −6.66268 3.43485i −0.282054 0.145409i
\(559\) −1.93320 4.23312i −0.0817657 0.179042i
\(560\) 25.2159 + 21.8070i 1.06557 + 0.921513i
\(561\) −0.555875 3.86620i −0.0234691 0.163231i
\(562\) 12.6611 1.20899i 0.534077 0.0509982i
\(563\) −1.86813 + 7.70055i −0.0787324 + 0.324539i −0.997534 0.0701794i \(-0.977643\pi\)
0.918802 + 0.394719i \(0.129158\pi\)
\(564\) 0.811824 3.34638i 0.0341840 0.140908i
\(565\) 18.9322 1.80781i 0.796484 0.0760550i
\(566\) −4.31230 29.9927i −0.181260 1.26069i
\(567\) 2.00120 + 1.73066i 0.0840426 + 0.0726809i
\(568\) 12.4791 + 27.3254i 0.523611 + 1.14655i
\(569\) 9.38084 + 4.83616i 0.393265 + 0.202742i 0.643506 0.765441i \(-0.277479\pi\)
−0.250240 + 0.968184i \(0.580510\pi\)
\(570\) 22.7867 + 17.9197i 0.954430 + 0.750572i
\(571\) 2.33271 1.20260i 0.0976210 0.0503271i −0.408725 0.912658i \(-0.634026\pi\)
0.506346 + 0.862331i \(0.330996\pi\)
\(572\) −0.769522 0.148313i −0.0321753 0.00620129i
\(573\) 7.13772 + 2.09582i 0.298183 + 0.0875543i
\(574\) −5.95109 + 14.9069i −0.248394 + 0.622204i
\(575\) 10.8466 8.34779i 0.452334 0.348127i
\(576\) −3.26348 5.65252i −0.135979 0.235522i
\(577\) −19.8945 + 18.9694i −0.828219 + 0.789705i −0.980060 0.198700i \(-0.936328\pi\)
0.151842 + 0.988405i \(0.451480\pi\)
\(578\) −6.75308 19.5117i −0.280891 0.811581i
\(579\) 1.07379 22.5417i 0.0446253 0.936800i
\(580\) −0.868284 + 6.03905i −0.0360535 + 0.250758i
\(581\) −5.13365 1.77121i −0.212980 0.0734821i
\(582\) 3.90763 + 8.55652i 0.161977 + 0.354679i
\(583\) −7.19646 + 20.7928i −0.298047 + 0.861150i
\(584\) 6.76082 + 2.70662i 0.279765 + 0.112001i
\(585\) 2.05927 + 2.89184i 0.0851404 + 0.119563i
\(586\) 7.84122 + 7.47659i 0.323918 + 0.308855i
\(587\) 8.42993 2.47525i 0.347941 0.102165i −0.103093 0.994672i \(-0.532874\pi\)
0.451033 + 0.892507i \(0.351056\pi\)
\(588\) 0.285172 2.01106i 0.0117603 0.0829346i
\(589\) −4.81833 33.5122i −0.198536 1.38085i
\(590\) −12.7882 + 36.9492i −0.526483 + 1.52117i
\(591\) −21.8496 2.08639i −0.898773 0.0858224i
\(592\) 1.69552 + 35.5933i 0.0696853 + 1.46287i
\(593\) −22.9909 + 9.20419i −0.944125 + 0.377971i −0.792090 0.610404i \(-0.791007\pi\)
−0.152035 + 0.988375i \(0.548583\pi\)
\(594\) −2.71427 1.74435i −0.111368 0.0715717i
\(595\) 13.5692 + 0.633212i 0.556284 + 0.0259592i
\(596\) −2.52033 0.740036i −0.103237 0.0303131i
\(597\) −8.88941 15.3969i −0.363819 0.630154i
\(598\) 8.79386 + 2.68230i 0.359608 + 0.109687i
\(599\) −12.5408 + 21.7214i −0.512405 + 0.887511i 0.487492 + 0.873128i \(0.337912\pi\)
−0.999897 + 0.0143838i \(0.995421\pi\)
\(600\) 1.74100 + 7.17652i 0.0710762 + 0.292980i
\(601\) −4.20583 + 4.85378i −0.171559 + 0.197990i −0.835017 0.550223i \(-0.814543\pi\)
0.663458 + 0.748213i \(0.269088\pi\)
\(602\) −11.9732 + 8.54356i −0.487991 + 0.348209i
\(603\) 0.338874 2.35692i 0.0138000 0.0959812i
\(604\) 4.06287 + 2.09455i 0.165316 + 0.0852262i
\(605\) −18.0067 1.71943i −0.732075 0.0699047i
\(606\) 16.1779 3.11804i 0.657184 0.126662i
\(607\) 21.8971 17.2201i 0.888776 0.698942i −0.0655046 0.997852i \(-0.520866\pi\)
0.954281 + 0.298911i \(0.0966233\pi\)
\(608\) −4.62564 + 10.1287i −0.187594 + 0.410775i
\(609\) −18.0485 + 8.26360i −0.731361 + 0.334858i
\(610\) −4.04016 + 1.18630i −0.163581 + 0.0480317i
\(611\) 14.9649 1.42897i 0.605413 0.0578099i
\(612\) 0.493520 + 0.197576i 0.0199494 + 0.00798652i
\(613\) −25.4761 + 4.91011i −1.02897 + 0.198317i −0.675678 0.737197i \(-0.736149\pi\)
−0.353290 + 0.935514i \(0.614937\pi\)
\(614\) −6.41204 + 9.00445i −0.258769 + 0.363390i
\(615\) −9.45122 + 6.07393i −0.381110 + 0.244925i
\(616\) −0.0141350 14.5958i −0.000569515 0.588082i
\(617\) 39.2982 + 25.2554i 1.58209 + 1.01674i 0.975027 + 0.222087i \(0.0712869\pi\)
0.607058 + 0.794657i \(0.292349\pi\)
\(618\) −4.72347 0.910375i −0.190006 0.0366207i
\(619\) −17.8927 + 17.0606i −0.719167 + 0.685724i −0.958461 0.285223i \(-0.907932\pi\)
0.239294 + 0.970947i \(0.423084\pi\)
\(620\) −2.01399 + 3.48834i −0.0808838 + 0.140095i
\(621\) 3.73857 + 3.00384i 0.150024 + 0.120540i
\(622\) 15.2554 0.611685
\(623\) −11.5645 + 14.7347i −0.463320 + 0.590335i
\(624\) −3.72982 + 4.30444i −0.149312 + 0.172316i
\(625\) −1.48097 + 31.0895i −0.0592390 + 1.24358i
\(626\) −36.7831 28.9266i −1.47015 1.15614i
\(627\) −0.693404 14.5563i −0.0276919 0.581324i
\(628\) 1.34129 1.88358i 0.0535232 0.0751628i
\(629\) 9.50833 + 10.9732i 0.379122 + 0.437530i
\(630\) 7.73542 8.12842i 0.308186 0.323844i
\(631\) −11.4313 + 25.0310i −0.455072 + 0.996468i 0.533511 + 0.845793i \(0.320872\pi\)
−0.988583 + 0.150675i \(0.951855\pi\)
\(632\) 0.710310 + 0.677279i 0.0282546 + 0.0269407i
\(633\) 2.68178 11.0545i 0.106591 0.439375i
\(634\) 12.4552 + 17.4909i 0.494659 + 0.694651i
\(635\) −10.5728 + 8.31455i −0.419569 + 0.329953i
\(636\) −1.96104 2.26317i −0.0777605 0.0897404i
\(637\) 8.70391 1.69503i 0.344861 0.0671596i
\(638\) 20.3644 13.0874i 0.806233 0.518135i
\(639\) 10.7779 4.31482i 0.426367 0.170692i
\(640\) −32.7201 + 16.8684i −1.29337 + 0.666781i
\(641\) 9.23442 + 26.6811i 0.364738 + 1.05384i 0.966832 + 0.255415i \(0.0822120\pi\)
−0.602094 + 0.798425i \(0.705667\pi\)
\(642\) −5.55695 22.9061i −0.219315 0.904031i
\(643\) 2.91487 0.114951 0.0574756 0.998347i \(-0.481695\pi\)
0.0574756 + 0.998347i \(0.481695\pi\)
\(644\) 0.384736 3.66166i 0.0151607 0.144290i
\(645\) −10.2953 −0.405377
\(646\) 4.46775 + 18.4163i 0.175781 + 0.724580i
\(647\) 10.7171 + 30.9651i 0.421334 + 1.21736i 0.933531 + 0.358496i \(0.116710\pi\)
−0.512197 + 0.858868i \(0.671168\pi\)
\(648\) −2.29990 + 1.18568i −0.0903485 + 0.0465779i
\(649\) 18.2477 7.30527i 0.716284 0.286757i
\(650\) 4.60261 2.95792i 0.180529 0.116019i
\(651\) −13.0897 + 0.636247i −0.513027 + 0.0249365i
\(652\) 4.25124 + 4.90620i 0.166492 + 0.192142i
\(653\) −8.54244 + 6.71785i −0.334291 + 0.262890i −0.771168 0.636632i \(-0.780327\pi\)
0.436877 + 0.899521i \(0.356085\pi\)
\(654\) 5.44044 + 7.64002i 0.212738 + 0.298749i
\(655\) 12.2107 50.3333i 0.477113 1.96669i
\(656\) −13.0448 12.4382i −0.509312 0.485628i
\(657\) 1.16916 2.56010i 0.0456133 0.0998792i
\(658\) −13.4305 45.5769i −0.523577 1.77677i
\(659\) 4.32859 + 4.99546i 0.168618 + 0.194595i 0.833769 0.552113i \(-0.186178\pi\)
−0.665151 + 0.746709i \(0.731633\pi\)
\(660\) −1.00567 + 1.41227i −0.0391457 + 0.0549725i
\(661\) −0.644858 13.5372i −0.0250821 0.526537i −0.976089 0.217369i \(-0.930252\pi\)
0.951007 0.309168i \(-0.100051\pi\)
\(662\) 42.6915 + 33.5730i 1.65925 + 1.30485i
\(663\) −0.110427 + 2.31815i −0.00428864 + 0.0900296i
\(664\) 3.47805 4.01388i 0.134974 0.155769i
\(665\) 50.1721 + 7.16407i 1.94559 + 0.277811i
\(666\) 11.9937 0.464747
\(667\) −32.1525 + 16.1525i −1.24495 + 0.625427i
\(668\) 1.45489 2.51994i 0.0562912 0.0974992i
\(669\) −17.2621 + 16.4594i −0.667391 + 0.636356i
\(670\) −9.91621 1.91119i −0.383096 0.0738358i
\(671\) 1.78073 + 1.14441i 0.0687443 + 0.0441793i
\(672\) 3.73473 + 2.15143i 0.144071 + 0.0829932i
\(673\) 12.0829 7.76520i 0.465761 0.299327i −0.286632 0.958041i \(-0.592536\pi\)
0.752393 + 0.658714i \(0.228899\pi\)
\(674\) 22.0846 31.0134i 0.850666 1.19459i
\(675\) 2.80236 0.540111i 0.107863 0.0207889i
\(676\) −3.06969 1.22892i −0.118065 0.0472661i
\(677\) −27.5270 + 2.62851i −1.05795 + 0.101022i −0.609499 0.792787i \(-0.708629\pi\)
−0.448448 + 0.893809i \(0.648023\pi\)
\(678\) 9.85381 2.89334i 0.378433 0.111118i
\(679\) 13.4053 + 9.52634i 0.514450 + 0.365588i
\(680\) −5.51884 + 12.0846i −0.211638 + 0.463422i
\(681\) 3.56198 2.80117i 0.136495 0.107341i
\(682\) 15.6928 3.02454i 0.600908 0.115815i
\(683\) −12.5866 1.20188i −0.481614 0.0459885i −0.148574 0.988901i \(-0.547468\pi\)
−0.333040 + 0.942913i \(0.608074\pi\)
\(684\) 1.76288 + 0.908828i 0.0674055 + 0.0347499i
\(685\) −5.82828 + 40.5366i −0.222687 + 1.54882i
\(686\) −10.4922 25.9892i −0.400595 0.992274i
\(687\) 8.02355 9.25968i 0.306118 0.353279i
\(688\) −3.89407 16.0516i −0.148460 0.611960i
\(689\) 6.53669 11.3219i 0.249028 0.431330i
\(690\) 13.4796 15.2315i 0.513158 0.579853i
\(691\) −22.6761 39.2762i −0.862641 1.49414i −0.869370 0.494161i \(-0.835475\pi\)
0.00672880 0.999977i \(-0.497858\pi\)
\(692\) −6.40093 1.87948i −0.243327 0.0714472i
\(693\) −5.63467 0.262944i −0.214044 0.00998841i
\(694\) 5.93755 + 3.81583i 0.225386 + 0.144847i
\(695\) 24.2466 9.70688i 0.919726 0.368203i
\(696\) −0.923735 19.3916i −0.0350141 0.735036i
\(697\) −7.31108 0.698123i −0.276927 0.0264433i
\(698\) −11.1595 + 32.2433i −0.422394 + 1.22043i
\(699\) −0.0808262 0.562159i −0.00305713 0.0212628i
\(700\) −1.51350 1.58424i −0.0572050 0.0598786i
\(701\) −45.6270 + 13.3973i −1.72331 + 0.506009i −0.985597 0.169109i \(-0.945911\pi\)
−0.737710 + 0.675118i \(0.764093\pi\)
\(702\) 1.38743 + 1.32291i 0.0523653 + 0.0499302i
\(703\) 31.4227 + 44.1269i 1.18513 + 1.66428i
\(704\) 12.9188 + 5.17193i 0.486897 + 0.194924i
\(705\) 10.8774 31.4282i 0.409667 1.18366i
\(706\) 11.0990 + 24.3034i 0.417717 + 0.914672i
\(707\) 21.7506 18.8839i 0.818016 0.710203i
\(708\) −0.380711 + 2.64790i −0.0143080 + 0.0995142i
\(709\) −1.06317 + 22.3187i −0.0399283 + 0.838198i 0.886729 + 0.462290i \(0.152972\pi\)
−0.926657 + 0.375908i \(0.877331\pi\)
\(710\) −16.1038 46.5290i −0.604366 1.74620i
\(711\) 0.274512 0.261746i 0.0102950 0.00981626i
\(712\) −9.15943 15.8646i −0.343264 0.594551i
\(713\) −23.6699 + 2.01069i −0.886446 + 0.0753011i
\(714\) 7.25962 1.05095i 0.271684 0.0393309i
\(715\) −7.26235 2.13242i −0.271596 0.0797479i
\(716\) −3.79742 0.731892i −0.141916 0.0273521i
\(717\) 6.29088 3.24317i 0.234937 0.121118i
\(718\) 16.5821 + 13.0403i 0.618840 + 0.486661i
\(719\) 24.3696 + 12.5634i 0.908831 + 0.468535i 0.848231 0.529627i \(-0.177668\pi\)
0.0606006 + 0.998162i \(0.480698\pi\)
\(720\) 5.23438 + 11.4617i 0.195074 + 0.427152i
\(721\) −7.94481 + 2.75834i −0.295880 + 0.102726i
\(722\) 5.97007 + 41.5227i 0.222183 + 1.54532i
\(723\) −16.7014 + 1.59479i −0.621132 + 0.0593109i
\(724\) 1.12963 4.65641i 0.0419824 0.173054i
\(725\) −5.04814 + 20.8087i −0.187483 + 0.772816i
\(726\) −9.72352 + 0.928483i −0.360874 + 0.0344593i
\(727\) 4.53197 + 31.5206i 0.168082 + 1.16903i 0.882844 + 0.469666i \(0.155626\pi\)
−0.714762 + 0.699367i \(0.753465\pi\)
\(728\) −1.63300 + 8.51719i −0.0605230 + 0.315668i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −10.6094 5.46952i −0.392671 0.202436i
\(731\) −5.29032 4.16036i −0.195670 0.153876i
\(732\) −0.256065 + 0.132011i −0.00946443 + 0.00487925i
\(733\) −2.27110 0.437719i −0.0838850 0.0161675i 0.147136 0.989116i \(-0.452995\pi\)
−0.231021 + 0.972949i \(0.574207\pi\)
\(734\) 41.8919 + 12.3006i 1.54626 + 0.454022i
\(735\) 4.58805 19.0734i 0.169233 0.703531i
\(736\) 6.90640 + 3.65240i 0.254573 + 0.134629i
\(737\) 2.53834 + 4.39654i 0.0935011 + 0.161949i
\(738\) −4.39066 + 4.18649i −0.161623 + 0.154107i
\(739\) −0.0324942 0.0938858i −0.00119532 0.00345364i 0.944402 0.328794i \(-0.106642\pi\)
−0.945597 + 0.325341i \(0.894521\pi\)
\(740\) 0.306659 6.43756i 0.0112730 0.236649i
\(741\) −1.23226 + 8.57054i −0.0452681 + 0.314847i
\(742\) −39.0615 13.4770i −1.43399 0.494755i
\(743\) 1.46978 + 3.21837i 0.0539210 + 0.118071i 0.934675 0.355504i \(-0.115691\pi\)
−0.880754 + 0.473574i \(0.842963\pi\)
\(744\) 4.19198 12.1119i 0.153685 0.444045i
\(745\) −23.5521 9.42885i −0.862883 0.345446i
\(746\) −24.2555 34.0620i −0.888056 1.24710i
\(747\) −1.48552 1.41644i −0.0543523 0.0518249i
\(748\) −1.08747 + 0.319311i −0.0397620 + 0.0116752i
\(749\) −28.4658 29.7962i −1.04012 1.08873i
\(750\) 1.29530 + 9.00900i 0.0472976 + 0.328962i
\(751\) −4.63675 + 13.3970i −0.169197 + 0.488864i −0.997440 0.0715057i \(-0.977220\pi\)
0.828243 + 0.560369i \(0.189341\pi\)
\(752\) 53.1145 + 5.07182i 1.93688 + 0.184950i
\(753\) −0.0156853 0.329274i −0.000571603 0.0119994i
\(754\) −13.3528 + 5.34564i −0.486279 + 0.194677i
\(755\) 37.1392 + 23.8679i 1.35163 + 0.868642i
\(756\) 0.414431 0.646243i 0.0150727 0.0235036i
\(757\) −4.44349 1.30473i −0.161501 0.0474211i 0.199982 0.979800i \(-0.435912\pi\)
−0.361484 + 0.932378i \(0.617730\pi\)
\(758\) 14.3910 + 24.9259i 0.522704 + 0.905350i
\(759\) −10.2243 0.106909i −0.371118 0.00388055i
\(760\) −24.7829 + 42.9253i −0.898972 + 1.55706i
\(761\) 0.0387333 + 0.159661i 0.00140408 + 0.00578770i 0.972509 0.232864i \(-0.0748097\pi\)
−0.971105 + 0.238652i \(0.923295\pi\)
\(762\) −4.75639 + 5.48917i −0.172306 + 0.198852i
\(763\) 14.9223 + 6.79733i 0.540224 + 0.246080i
\(764\) 0.307198 2.13661i 0.0111140 0.0772997i
\(765\) 4.56352 + 2.35266i 0.164994 + 0.0850605i
\(766\) −27.2989 2.60673i −0.986350 0.0941850i
\(767\) −11.4677 + 2.21021i −0.414073 + 0.0798060i
\(768\) −5.36445 + 4.21865i −0.193573 + 0.152227i
\(769\) −17.1161 + 37.4791i −0.617224 + 1.35153i 0.300298 + 0.953846i \(0.402914\pi\)
−0.917522 + 0.397686i \(0.869813\pi\)
\(770\) −2.25098 + 23.8170i −0.0811196 + 0.858306i
\(771\) −7.53402 + 2.21219i −0.271331 + 0.0796700i
\(772\) −6.51864 + 0.622454i −0.234611 + 0.0224026i