Properties

Label 177.2.f.a.101.7
Level $177$
Weight $2$
Character 177.101
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 101.7
Character \(\chi\) \(=\) 177.101
Dual form 177.2.f.a.170.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.460764 + 0.679576i) q^{2} +(1.70902 - 0.281542i) q^{3} +(0.490756 + 1.23170i) q^{4} +(0.472167 - 1.02057i) q^{5} +(-0.596124 + 1.29113i) q^{6} +(0.500561 + 1.80286i) q^{7} +(-2.66687 - 0.587023i) q^{8} +(2.84147 - 0.962318i) q^{9} +O(q^{10})\) \(q+(-0.460764 + 0.679576i) q^{2} +(1.70902 - 0.281542i) q^{3} +(0.490756 + 1.23170i) q^{4} +(0.472167 - 1.02057i) q^{5} +(-0.596124 + 1.29113i) q^{6} +(0.500561 + 1.80286i) q^{7} +(-2.66687 - 0.587023i) q^{8} +(2.84147 - 0.962318i) q^{9} +(0.475999 + 0.791116i) q^{10} +(-1.67121 - 1.58306i) q^{11} +(1.18549 + 1.96683i) q^{12} +(-0.00701734 + 0.0645234i) q^{13} +(-1.45582 - 0.490523i) q^{14} +(0.519607 - 1.87711i) q^{15} +(-0.297426 + 0.281737i) q^{16} +(1.12196 + 0.311512i) q^{17} +(-0.655279 + 2.37440i) q^{18} +(-2.84345 - 2.16154i) q^{19} +(1.48876 + 0.0807183i) q^{20} +(1.36305 + 2.94018i) q^{21} +(1.84584 - 0.406301i) q^{22} +(0.0691925 + 0.130511i) q^{23} +(-4.72300 - 0.252396i) q^{24} +(2.41831 + 2.84705i) q^{25} +(-0.0406152 - 0.0344989i) q^{26} +(4.58518 - 2.44461i) q^{27} +(-1.97493 + 1.50131i) q^{28} +(-4.18080 + 2.83465i) q^{29} +(1.03622 + 1.21802i) q^{30} +(-1.05327 - 1.38555i) q^{31} +(-0.937980 - 5.72143i) q^{32} +(-3.30183 - 2.23495i) q^{33} +(-0.728657 + 0.618927i) q^{34} +(2.07629 + 0.340391i) q^{35} +(2.57976 + 3.02759i) q^{36} +(-1.76465 - 8.01689i) q^{37} +(2.77909 - 0.936386i) q^{38} +(0.00617327 + 0.112247i) q^{39} +(-1.85831 + 2.44456i) q^{40} +(-3.40200 - 1.80363i) q^{41} +(-2.62612 - 0.428437i) q^{42} +(-7.42113 - 7.83440i) q^{43} +(1.12970 - 2.83533i) q^{44} +(0.359533 - 3.35430i) q^{45} +(-0.120574 - 0.0131132i) q^{46} +(5.61931 - 2.59977i) q^{47} +(-0.428986 + 0.565231i) q^{48} +(2.99827 - 1.80400i) q^{49} +(-3.04906 + 0.331605i) q^{50} +(2.00516 + 0.216499i) q^{51} +(-0.0829176 + 0.0230219i) q^{52} +(-4.90995 + 8.16041i) q^{53} +(-0.451390 + 4.24237i) q^{54} +(-2.40471 + 0.958126i) q^{55} +(-0.276613 - 5.10183i) q^{56} +(-5.46807 - 2.89355i) q^{57} -4.14728i q^{58} +(-7.53390 - 1.49679i) q^{59} +(2.56704 - 0.281199i) q^{60} +(5.16049 + 3.49890i) q^{61} +(1.42690 - 0.0773643i) q^{62} +(3.15725 + 4.64106i) q^{63} +(3.57670 + 1.65476i) q^{64} +(0.0625374 + 0.0376275i) q^{65} +(3.04018 - 1.21406i) q^{66} +(0.0126906 - 0.0576541i) q^{67} +(0.166920 + 1.53480i) q^{68} +(0.154995 + 0.203565i) q^{69} +(-1.18800 + 1.25416i) q^{70} +(0.791671 + 1.71117i) q^{71} +(-8.14274 + 0.898372i) q^{72} +(3.52135 - 10.4510i) q^{73} +(6.26118 + 2.49468i) q^{74} +(4.93449 + 4.18480i) q^{75} +(1.26693 - 4.56308i) q^{76} +(2.01748 - 3.80537i) q^{77} +(-0.0791250 - 0.0475243i) q^{78} +(-0.795615 + 14.6742i) q^{79} +(0.147098 + 0.436572i) q^{80} +(7.14789 - 5.46879i) q^{81} +(2.79322 - 1.48087i) q^{82} +(-1.95532 + 11.9269i) q^{83} +(-2.95251 + 3.12178i) q^{84} +(0.847675 - 0.997960i) q^{85} +(8.74346 - 1.43342i) q^{86} +(-6.34698 + 6.02154i) q^{87} +(3.52762 + 5.20285i) q^{88} +(9.17274 + 13.5288i) q^{89} +(2.11384 + 1.78987i) q^{90} +(-0.119839 + 0.0196466i) q^{91} +(-0.126794 + 0.149274i) q^{92} +(-2.19015 - 2.07139i) q^{93} +(-0.822435 + 5.01663i) q^{94} +(-3.54859 + 1.88134i) q^{95} +(-3.21384 - 9.51393i) q^{96} +(4.38005 + 12.9995i) q^{97} +(-0.155540 + 2.86877i) q^{98} +(-6.27210 - 2.88997i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{11}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.460764 + 0.679576i −0.325810 + 0.480533i −0.954953 0.296756i \(-0.904095\pi\)
0.629144 + 0.777289i \(0.283406\pi\)
\(3\) 1.70902 0.281542i 0.986701 0.162548i
\(4\) 0.490756 + 1.23170i 0.245378 + 0.615852i
\(5\) 0.472167 1.02057i 0.211159 0.456414i −0.772836 0.634605i \(-0.781163\pi\)
0.983996 + 0.178192i \(0.0570247\pi\)
\(6\) −0.596124 + 1.29113i −0.243367 + 0.527102i
\(7\) 0.500561 + 1.80286i 0.189194 + 0.681416i 0.995900 + 0.0904624i \(0.0288345\pi\)
−0.806706 + 0.590953i \(0.798752\pi\)
\(8\) −2.66687 0.587023i −0.942882 0.207544i
\(9\) 2.84147 0.962318i 0.947156 0.320773i
\(10\) 0.475999 + 0.791116i 0.150524 + 0.250173i
\(11\) −1.67121 1.58306i −0.503890 0.477310i 0.393016 0.919532i \(-0.371432\pi\)
−0.896906 + 0.442222i \(0.854190\pi\)
\(12\) 1.18549 + 1.96683i 0.342220 + 0.567776i
\(13\) −0.00701734 + 0.0645234i −0.00194626 + 0.0178956i −0.995071 0.0991669i \(-0.968382\pi\)
0.993125 + 0.117062i \(0.0373478\pi\)
\(14\) −1.45582 0.490523i −0.389084 0.131098i
\(15\) 0.519607 1.87711i 0.134162 0.484667i
\(16\) −0.297426 + 0.281737i −0.0743566 + 0.0704343i
\(17\) 1.12196 + 0.311512i 0.272116 + 0.0755527i 0.400906 0.916119i \(-0.368695\pi\)
−0.128790 + 0.991672i \(0.541109\pi\)
\(18\) −0.655279 + 2.37440i −0.154451 + 0.559651i
\(19\) −2.84345 2.16154i −0.652333 0.495891i 0.225883 0.974154i \(-0.427473\pi\)
−0.878216 + 0.478264i \(0.841266\pi\)
\(20\) 1.48876 + 0.0807183i 0.332897 + 0.0180492i
\(21\) 1.36305 + 2.94018i 0.297441 + 0.641600i
\(22\) 1.84584 0.406301i 0.393535 0.0866236i
\(23\) 0.0691925 + 0.130511i 0.0144276 + 0.0272134i 0.890621 0.454746i \(-0.150270\pi\)
−0.876193 + 0.481960i \(0.839925\pi\)
\(24\) −4.72300 0.252396i −0.964079 0.0515202i
\(25\) 2.41831 + 2.84705i 0.483661 + 0.569410i
\(26\) −0.0406152 0.0344989i −0.00796531 0.00676579i
\(27\) 4.58518 2.44461i 0.882419 0.470465i
\(28\) −1.97493 + 1.50131i −0.373227 + 0.283720i
\(29\) −4.18080 + 2.83465i −0.776355 + 0.526382i −0.883820 0.467827i \(-0.845037\pi\)
0.107465 + 0.994209i \(0.465727\pi\)
\(30\) 1.03622 + 1.21802i 0.189187 + 0.222378i
\(31\) −1.05327 1.38555i −0.189173 0.248853i 0.691723 0.722163i \(-0.256852\pi\)
−0.880896 + 0.473310i \(0.843059\pi\)
\(32\) −0.937980 5.72143i −0.165813 1.01141i
\(33\) −3.30183 2.23495i −0.574774 0.389055i
\(34\) −0.728657 + 0.618927i −0.124964 + 0.106145i
\(35\) 2.07629 + 0.340391i 0.350958 + 0.0575366i
\(36\) 2.57976 + 3.02759i 0.429960 + 0.504598i
\(37\) −1.76465 8.01689i −0.290107 1.31797i −0.865836 0.500328i \(-0.833213\pi\)
0.575729 0.817641i \(-0.304718\pi\)
\(38\) 2.77909 0.936386i 0.450828 0.151902i
\(39\) 0.00617327 + 0.112247i 0.000988514 + 0.0179739i
\(40\) −1.85831 + 2.44456i −0.293824 + 0.386519i
\(41\) −3.40200 1.80363i −0.531303 0.281679i 0.181082 0.983468i \(-0.442040\pi\)
−0.712385 + 0.701789i \(0.752385\pi\)
\(42\) −2.62612 0.428437i −0.405219 0.0661093i
\(43\) −7.42113 7.83440i −1.13171 1.19473i −0.978436 0.206551i \(-0.933776\pi\)
−0.153276 0.988183i \(-0.548982\pi\)
\(44\) 1.12970 2.83533i 0.170309 0.427443i
\(45\) 0.359533 3.35430i 0.0535960 0.500029i
\(46\) −0.120574 0.0131132i −0.0177776 0.00193343i
\(47\) 5.61931 2.59977i 0.819661 0.379215i 0.0351894 0.999381i \(-0.488797\pi\)
0.784471 + 0.620165i \(0.212934\pi\)
\(48\) −0.428986 + 0.565231i −0.0619187 + 0.0815841i
\(49\) 2.99827 1.80400i 0.428324 0.257714i
\(50\) −3.04906 + 0.331605i −0.431202 + 0.0468960i
\(51\) 2.00516 + 0.216499i 0.280778 + 0.0303159i
\(52\) −0.0829176 + 0.0230219i −0.0114986 + 0.00319257i
\(53\) −4.90995 + 8.16041i −0.674434 + 1.12092i 0.310926 + 0.950434i \(0.399361\pi\)
−0.985360 + 0.170484i \(0.945467\pi\)
\(54\) −0.451390 + 4.24237i −0.0614264 + 0.577313i
\(55\) −2.40471 + 0.958126i −0.324252 + 0.129194i
\(56\) −0.276613 5.10183i −0.0369640 0.681761i
\(57\) −5.46807 2.89355i −0.724264 0.383260i
\(58\) 4.14728i 0.544565i
\(59\) −7.53390 1.49679i −0.980830 0.194865i
\(60\) 2.56704 0.281199i 0.331404 0.0363027i
\(61\) 5.16049 + 3.49890i 0.660733 + 0.447988i 0.844913 0.534905i \(-0.179652\pi\)
−0.184179 + 0.982893i \(0.558963\pi\)
\(62\) 1.42690 0.0773643i 0.181216 0.00982527i
\(63\) 3.15725 + 4.64106i 0.397776 + 0.584719i
\(64\) 3.57670 + 1.65476i 0.447088 + 0.206845i
\(65\) 0.0625374 + 0.0376275i 0.00775681 + 0.00466712i
\(66\) 3.04018 1.21406i 0.374221 0.149440i
\(67\) 0.0126906 0.0576541i 0.00155041 0.00704357i −0.975839 0.218491i \(-0.929887\pi\)
0.977389 + 0.211447i \(0.0678177\pi\)
\(68\) 0.166920 + 1.53480i 0.0202420 + 0.186122i
\(69\) 0.154995 + 0.203565i 0.0186592 + 0.0245063i
\(70\) −1.18800 + 1.25416i −0.141994 + 0.149901i
\(71\) 0.791671 + 1.71117i 0.0939541 + 0.203078i 0.948854 0.315714i \(-0.102244\pi\)
−0.854900 + 0.518792i \(0.826382\pi\)
\(72\) −8.14274 + 0.898372i −0.959632 + 0.105874i
\(73\) 3.52135 10.4510i 0.412143 1.22320i −0.517803 0.855500i \(-0.673250\pi\)
0.929946 0.367696i \(-0.119853\pi\)
\(74\) 6.26118 + 2.49468i 0.727847 + 0.290001i
\(75\) 4.93449 + 4.18480i 0.569785 + 0.483219i
\(76\) 1.26693 4.56308i 0.145327 0.523422i
\(77\) 2.01748 3.80537i 0.229913 0.433663i
\(78\) −0.0791250 0.0475243i −0.00895914 0.00538107i
\(79\) −0.795615 + 14.6742i −0.0895136 + 1.65098i 0.517056 + 0.855952i \(0.327028\pi\)
−0.606570 + 0.795030i \(0.707455\pi\)
\(80\) 0.147098 + 0.436572i 0.0164461 + 0.0488102i
\(81\) 7.14789 5.46879i 0.794210 0.607644i
\(82\) 2.79322 1.48087i 0.308460 0.163535i
\(83\) −1.95532 + 11.9269i −0.214624 + 1.30915i 0.631171 + 0.775644i \(0.282575\pi\)
−0.845795 + 0.533507i \(0.820874\pi\)
\(84\) −2.95251 + 3.12178i −0.322145 + 0.340614i
\(85\) 0.847675 0.997960i 0.0919432 0.108244i
\(86\) 8.74346 1.43342i 0.942832 0.154569i
\(87\) −6.34698 + 6.02154i −0.680468 + 0.645577i
\(88\) 3.52762 + 5.20285i 0.376046 + 0.554626i
\(89\) 9.17274 + 13.5288i 0.972308 + 1.43405i 0.899611 + 0.436693i \(0.143850\pi\)
0.0726976 + 0.997354i \(0.476839\pi\)
\(90\) 2.11384 + 1.78987i 0.222818 + 0.188669i
\(91\) −0.119839 + 0.0196466i −0.0125625 + 0.00205952i
\(92\) −0.126794 + 0.149274i −0.0132192 + 0.0155629i
\(93\) −2.19015 2.07139i −0.227108 0.214794i
\(94\) −0.822435 + 5.01663i −0.0848277 + 0.517426i
\(95\) −3.54859 + 1.88134i −0.364078 + 0.193022i
\(96\) −3.21384 9.51393i −0.328011 0.971011i
\(97\) 4.38005 + 12.9995i 0.444727 + 1.31990i 0.902445 + 0.430805i \(0.141770\pi\)
−0.457718 + 0.889097i \(0.651333\pi\)
\(98\) −0.155540 + 2.86877i −0.0157119 + 0.289790i
\(99\) −6.27210 2.88997i −0.630370 0.290453i
\(100\) −2.31993 + 4.37584i −0.231993 + 0.437584i
\(101\) −0.868911 + 3.12954i −0.0864599 + 0.311400i −0.994117 0.108312i \(-0.965455\pi\)
0.907657 + 0.419713i \(0.137869\pi\)
\(102\) −1.07103 + 1.26290i −0.106048 + 0.125046i
\(103\) 0.991046 + 0.394869i 0.0976507 + 0.0389076i 0.418452 0.908239i \(-0.362573\pi\)
−0.320801 + 0.947147i \(0.603952\pi\)
\(104\) 0.0565911 0.167956i 0.00554922 0.0164695i
\(105\) 3.64425 0.00282925i 0.355642 0.000276107i
\(106\) −3.28329 7.09671i −0.318901 0.689294i
\(107\) 4.67442 4.93473i 0.451894 0.477058i −0.459745 0.888051i \(-0.652059\pi\)
0.911639 + 0.410993i \(0.134818\pi\)
\(108\) 5.26124 + 4.44788i 0.506263 + 0.427998i
\(109\) 1.53220 + 14.0883i 0.146758 + 1.34942i 0.803501 + 0.595303i \(0.202968\pi\)
−0.656743 + 0.754114i \(0.728066\pi\)
\(110\) 0.456887 2.07566i 0.0435624 0.197906i
\(111\) −5.27290 13.2042i −0.500482 1.25328i
\(112\) −0.656812 0.395191i −0.0620629 0.0373420i
\(113\) −3.78674 1.75193i −0.356227 0.164808i 0.233610 0.972330i \(-0.424946\pi\)
−0.589837 + 0.807522i \(0.700808\pi\)
\(114\) 4.48588 2.38273i 0.420141 0.223163i
\(115\) 0.165866 0.00899300i 0.0154671 0.000838601i
\(116\) −5.54321 3.75839i −0.514674 0.348958i
\(117\) 0.0421525 + 0.190094i 0.00389700 + 0.0175742i
\(118\) 4.48853 4.43020i 0.413203 0.407833i
\(119\) 2.17867i 0.199719i
\(120\) −2.48763 + 4.70099i −0.227089 + 0.429140i
\(121\) −0.308645 5.69262i −0.0280586 0.517511i
\(122\) −4.75554 + 1.89478i −0.430546 + 0.171545i
\(123\) −6.32187 2.12462i −0.570024 0.191571i
\(124\) 1.18969 1.97729i 0.106838 0.177566i
\(125\) 9.46504 2.62796i 0.846579 0.235051i
\(126\) −4.60870 + 0.00715604i −0.410576 + 0.000637510i
\(127\) 5.84700 0.635900i 0.518837 0.0564270i 0.155046 0.987907i \(-0.450448\pi\)
0.363792 + 0.931480i \(0.381482\pi\)
\(128\) 7.16323 4.30997i 0.633146 0.380951i
\(129\) −14.8885 11.2997i −1.31086 0.994887i
\(130\) −0.0543858 + 0.0251615i −0.00476995 + 0.00220681i
\(131\) −1.12977 0.122870i −0.0987084 0.0107352i 0.0586315 0.998280i \(-0.481326\pi\)
−0.157340 + 0.987545i \(0.550292\pi\)
\(132\) 1.13241 5.16369i 0.0985638 0.449441i
\(133\) 2.47362 6.20832i 0.214490 0.538330i
\(134\) 0.0333330 + 0.0351892i 0.00287953 + 0.00303988i
\(135\) −0.329927 5.83377i −0.0283956 0.502091i
\(136\) −2.80927 1.48938i −0.240893 0.127714i
\(137\) 11.1950 14.7268i 0.956454 1.25819i −0.00962638 0.999954i \(-0.503064\pi\)
0.966081 0.258240i \(-0.0831427\pi\)
\(138\) −0.209754 + 0.0115359i −0.0178554 + 0.000981997i
\(139\) −9.66826 + 3.25762i −0.820051 + 0.276307i −0.697892 0.716203i \(-0.745878\pi\)
−0.122159 + 0.992511i \(0.538982\pi\)
\(140\) 0.599692 + 2.72443i 0.0506832 + 0.230256i
\(141\) 8.87154 6.02512i 0.747119 0.507406i
\(142\) −1.52764 0.250445i −0.128197 0.0210168i
\(143\) 0.113872 0.0967235i 0.00952243 0.00808842i
\(144\) −0.574007 + 1.08677i −0.0478339 + 0.0905639i
\(145\) 0.918932 + 5.60524i 0.0763132 + 0.465490i
\(146\) 5.47973 + 7.20847i 0.453506 + 0.596577i
\(147\) 4.61619 3.92720i 0.380737 0.323910i
\(148\) 9.00843 6.10786i 0.740488 0.502063i
\(149\) −0.562229 + 0.427396i −0.0460596 + 0.0350136i −0.627951 0.778253i \(-0.716106\pi\)
0.581891 + 0.813267i \(0.302313\pi\)
\(150\) −5.11753 + 1.42515i −0.417844 + 0.116363i
\(151\) −7.72493 6.56161i −0.628646 0.533976i 0.275445 0.961317i \(-0.411175\pi\)
−0.904091 + 0.427340i \(0.859451\pi\)
\(152\) 6.31426 + 7.43373i 0.512154 + 0.602955i
\(153\) 3.48780 0.194535i 0.281972 0.0157272i
\(154\) 1.65646 + 3.12441i 0.133481 + 0.251772i
\(155\) −1.91138 + 0.420726i −0.153525 + 0.0337935i
\(156\) −0.135226 + 0.0626896i −0.0108267 + 0.00501918i
\(157\) −16.0383 0.869573i −1.28000 0.0693995i −0.598443 0.801166i \(-0.704214\pi\)
−0.681556 + 0.731766i \(0.738696\pi\)
\(158\) −9.60568 7.30205i −0.764187 0.580920i
\(159\) −6.09370 + 15.3286i −0.483262 + 1.21564i
\(160\) −6.28201 1.74419i −0.496636 0.137890i
\(161\) −0.200657 + 0.190073i −0.0158140 + 0.0149798i
\(162\) 0.422970 + 7.37736i 0.0332317 + 0.579620i
\(163\) −17.9710 6.05512i −1.40759 0.474274i −0.489976 0.871736i \(-0.662994\pi\)
−0.917618 + 0.397463i \(0.869891\pi\)
\(164\) 0.551983 5.07540i 0.0431026 0.396322i
\(165\) −3.83994 + 2.31448i −0.298939 + 0.180182i
\(166\) −7.20432 6.82430i −0.559164 0.529668i
\(167\) −3.43094 5.70227i −0.265494 0.441255i 0.695219 0.718798i \(-0.255307\pi\)
−0.960713 + 0.277543i \(0.910480\pi\)
\(168\) −1.90911 8.64123i −0.147291 0.666686i
\(169\) 12.6920 + 2.79371i 0.976304 + 0.214901i
\(170\) 0.287612 + 1.03588i 0.0220588 + 0.0794487i
\(171\) −10.1597 3.40564i −0.776930 0.260436i
\(172\) 6.00769 12.9854i 0.458082 0.990129i
\(173\) 7.48042 + 18.7745i 0.568726 + 1.42740i 0.879034 + 0.476759i \(0.158189\pi\)
−0.310308 + 0.950636i \(0.600432\pi\)
\(174\) −1.16763 7.08777i −0.0885180 0.537322i
\(175\) −3.92231 + 5.78498i −0.296499 + 0.437303i
\(176\) 0.943069 0.0710865
\(177\) −13.2970 0.436925i −0.999461 0.0328413i
\(178\) −13.4203 −1.00589
\(179\) −9.47012 + 13.9674i −0.707830 + 1.04397i 0.288425 + 0.957503i \(0.406868\pi\)
−0.996255 + 0.0864684i \(0.972442\pi\)
\(180\) 4.30794 1.20330i 0.321095 0.0896889i
\(181\) 8.53637 + 21.4247i 0.634503 + 1.59248i 0.795788 + 0.605575i \(0.207057\pi\)
−0.161285 + 0.986908i \(0.551564\pi\)
\(182\) 0.0418662 0.0904923i 0.00310333 0.00670773i
\(183\) 9.80444 + 4.52678i 0.724765 + 0.334629i
\(184\) −0.107915 0.388674i −0.00795558 0.0286534i
\(185\) −9.01502 1.98436i −0.662798 0.145893i
\(186\) 2.41681 0.533948i 0.177209 0.0391510i
\(187\) −1.38190 2.29674i −0.101055 0.167954i
\(188\) 5.95986 + 5.64548i 0.434667 + 0.411739i
\(189\) 6.70244 + 7.04275i 0.487531 + 0.512285i
\(190\) 0.356547 3.27839i 0.0258666 0.237840i
\(191\) 12.2410 + 4.12446i 0.885725 + 0.298436i 0.725152 0.688588i \(-0.241769\pi\)
0.160573 + 0.987024i \(0.448666\pi\)
\(192\) 6.57852 + 1.82102i 0.474764 + 0.131421i
\(193\) 12.2340 11.5887i 0.880622 0.834170i −0.106471 0.994316i \(-0.533955\pi\)
0.987093 + 0.160146i \(0.0511965\pi\)
\(194\) −10.8523 3.01314i −0.779153 0.216331i
\(195\) 0.117471 + 0.0466991i 0.00841228 + 0.00334419i
\(196\) 3.69341 + 2.80766i 0.263815 + 0.200547i
\(197\) 26.1682 + 1.41880i 1.86441 + 0.101085i 0.951607 0.307319i \(-0.0994317\pi\)
0.912801 + 0.408404i \(0.133914\pi\)
\(198\) 4.85392 2.93078i 0.344953 0.208281i
\(199\) −5.26939 + 1.15988i −0.373537 + 0.0822218i −0.397771 0.917485i \(-0.630216\pi\)
0.0242341 + 0.999706i \(0.492285\pi\)
\(200\) −4.77803 9.01233i −0.337858 0.637268i
\(201\) 0.00545645 0.102105i 0.000384869 0.00720191i
\(202\) −1.72640 2.03247i −0.121469 0.143004i
\(203\) −7.20322 6.11847i −0.505567 0.429432i
\(204\) 0.717380 + 2.57601i 0.0502267 + 0.180357i
\(205\) −3.44704 + 2.62037i −0.240752 + 0.183015i
\(206\) −0.724982 + 0.491550i −0.0505119 + 0.0342479i
\(207\) 0.322201 + 0.304257i 0.0223945 + 0.0211473i
\(208\) −0.0160915 0.0211680i −0.00111574 0.00146774i
\(209\) 1.33018 + 8.11374i 0.0920105 + 0.561239i
\(210\) −1.67722 + 2.47785i −0.115739 + 0.170988i
\(211\) −0.601439 + 0.510867i −0.0414047 + 0.0351695i −0.667850 0.744296i \(-0.732785\pi\)
0.626445 + 0.779466i \(0.284509\pi\)
\(212\) −12.4608 2.04284i −0.855811 0.140303i
\(213\) 1.83474 + 2.70153i 0.125715 + 0.185106i
\(214\) 1.19972 + 5.45037i 0.0820110 + 0.372580i
\(215\) −11.4996 + 3.87466i −0.784265 + 0.264249i
\(216\) −13.6631 + 3.82785i −0.929659 + 0.260452i
\(217\) 1.97073 2.59245i 0.133782 0.175987i
\(218\) −10.2801 5.45016i −0.696255 0.369131i
\(219\) 3.07565 18.8523i 0.207833 1.27392i
\(220\) −2.36025 2.49169i −0.159128 0.167990i
\(221\) −0.0279730 + 0.0702070i −0.00188167 + 0.00472263i
\(222\) 11.4028 + 2.50067i 0.765306 + 0.167834i
\(223\) 19.3576 + 2.10527i 1.29628 + 0.140979i 0.730123 0.683315i \(-0.239463\pi\)
0.566161 + 0.824295i \(0.308428\pi\)
\(224\) 9.84540 4.55497i 0.657823 0.304341i
\(225\) 9.61131 + 5.76263i 0.640754 + 0.384175i
\(226\) 2.93537 1.76615i 0.195258 0.117483i
\(227\) −23.3414 + 2.53853i −1.54922 + 0.168488i −0.842381 0.538882i \(-0.818847\pi\)
−0.706843 + 0.707371i \(0.749881\pi\)
\(228\) 0.880512 8.15507i 0.0583133 0.540083i
\(229\) 0.932514 0.258911i 0.0616222 0.0171093i −0.236580 0.971612i \(-0.576027\pi\)
0.298203 + 0.954503i \(0.403613\pi\)
\(230\) −0.0703137 + 0.116862i −0.00463635 + 0.00770567i
\(231\) 2.37654 7.07145i 0.156365 0.465267i
\(232\) 12.8137 5.10544i 0.841260 0.335188i
\(233\) −1.49929 27.6528i −0.0982217 1.81159i −0.469350 0.883012i \(-0.655512\pi\)
0.371129 0.928581i \(-0.378971\pi\)
\(234\) −0.148606 0.0589428i −0.00971467 0.00385321i
\(235\) 6.96243i 0.454179i
\(236\) −1.85371 10.0141i −0.120666 0.651862i
\(237\) 2.77169 + 25.3025i 0.180041 + 1.64358i
\(238\) −1.48057 1.00385i −0.0959714 0.0650702i
\(239\) −25.8445 + 1.40125i −1.67174 + 0.0906392i −0.865487 0.500931i \(-0.832991\pi\)
−0.806254 + 0.591570i \(0.798508\pi\)
\(240\) 0.374306 + 0.704694i 0.0241614 + 0.0454878i
\(241\) −8.82043 4.08076i −0.568174 0.262865i 0.114702 0.993400i \(-0.463409\pi\)
−0.682875 + 0.730535i \(0.739271\pi\)
\(242\) 4.01078 + 2.41321i 0.257823 + 0.155127i
\(243\) 10.6762 11.3587i 0.684876 0.728660i
\(244\) −1.77707 + 8.07330i −0.113765 + 0.516840i
\(245\) −0.425427 3.91174i −0.0271795 0.249912i
\(246\) 4.35673 3.31724i 0.277775 0.211500i
\(247\) 0.159423 0.168301i 0.0101439 0.0107087i
\(248\) 1.99559 + 4.31339i 0.126720 + 0.273901i
\(249\) 0.0162522 + 20.9338i 0.00102994 + 1.32663i
\(250\) −2.57526 + 7.64309i −0.162873 + 0.483391i
\(251\) 8.90511 + 3.54812i 0.562086 + 0.223955i 0.633836 0.773467i \(-0.281479\pi\)
−0.0717507 + 0.997423i \(0.522859\pi\)
\(252\) −4.16698 + 6.16643i −0.262495 + 0.388448i
\(253\) 0.0909707 0.327647i 0.00571928 0.0205990i
\(254\) −2.26195 + 4.26648i −0.141927 + 0.267703i
\(255\) 1.16772 1.94418i 0.0731256 0.121750i
\(256\) −0.798321 + 14.7242i −0.0498951 + 0.920260i
\(257\) −1.82077 5.40384i −0.113576 0.337082i 0.875757 0.482752i \(-0.160363\pi\)
−0.989333 + 0.145670i \(0.953466\pi\)
\(258\) 14.5392 4.91138i 0.905168 0.305769i
\(259\) 13.5700 7.19435i 0.843198 0.447035i
\(260\) −0.0156554 + 0.0954935i −0.000970905 + 0.00592226i
\(261\) −9.15178 + 12.0778i −0.566481 + 0.747600i
\(262\) 0.604057 0.711151i 0.0373187 0.0439350i
\(263\) 5.06373 0.830157i 0.312243 0.0511897i −0.00362301 0.999993i \(-0.501153\pi\)
0.315866 + 0.948804i \(0.397705\pi\)
\(264\) 7.49358 + 7.89859i 0.461198 + 0.486124i
\(265\) 6.00996 + 8.86403i 0.369189 + 0.544513i
\(266\) 3.07927 + 4.54159i 0.188802 + 0.278463i
\(267\) 19.4853 + 20.5384i 1.19248 + 1.25693i
\(268\) 0.0772408 0.0126630i 0.00471823 0.000773515i
\(269\) 13.3523 15.7195i 0.814103 0.958436i −0.185605 0.982624i \(-0.559424\pi\)
0.999707 + 0.0241887i \(0.00770024\pi\)
\(270\) 4.11651 + 2.46378i 0.250523 + 0.149941i
\(271\) −1.38350 + 8.43898i −0.0840417 + 0.512632i 0.910937 + 0.412545i \(0.135360\pi\)
−0.994979 + 0.100086i \(0.968088\pi\)
\(272\) −0.421466 + 0.223447i −0.0255552 + 0.0135485i
\(273\) −0.199275 + 0.0673160i −0.0120607 + 0.00407415i
\(274\) 4.84972 + 14.3934i 0.292982 + 0.869540i
\(275\) 0.465538 8.58634i 0.0280730 0.517776i
\(276\) −0.174666 + 0.290809i −0.0105137 + 0.0175046i
\(277\) 1.25762 2.37213i 0.0755633 0.142527i −0.842852 0.538146i \(-0.819125\pi\)
0.918415 + 0.395618i \(0.129470\pi\)
\(278\) 2.24099 8.07132i 0.134406 0.484085i
\(279\) −4.32618 2.92343i −0.259002 0.175021i
\(280\) −5.33739 2.12661i −0.318970 0.127089i
\(281\) −6.25885 + 18.5756i −0.373372 + 1.10813i 0.582118 + 0.813104i \(0.302224\pi\)
−0.955490 + 0.295023i \(0.904673\pi\)
\(282\) 0.00683589 + 8.80505i 0.000407072 + 0.524333i
\(283\) −1.08228 2.33931i −0.0643350 0.139058i 0.872741 0.488184i \(-0.162341\pi\)
−0.937076 + 0.349126i \(0.886478\pi\)
\(284\) −1.71914 + 1.81487i −0.102012 + 0.107693i
\(285\) −5.53492 + 4.21432i −0.327860 + 0.249635i
\(286\) 0.0132630 + 0.121951i 0.000784258 + 0.00721113i
\(287\) 1.54877 7.03615i 0.0914212 0.415331i
\(288\) −8.17107 15.3546i −0.481485 0.904780i
\(289\) −13.4048 8.06540i −0.788518 0.474436i
\(290\) −4.23260 1.95821i −0.248547 0.114990i
\(291\) 11.1455 + 20.9832i 0.653360 + 1.23006i
\(292\) 14.6006 0.791624i 0.854438 0.0463263i
\(293\) −8.39962 5.69508i −0.490711 0.332710i 0.290608 0.956842i \(-0.406142\pi\)
−0.781319 + 0.624132i \(0.785453\pi\)
\(294\) 0.541858 + 4.94657i 0.0316018 + 0.288490i
\(295\) −5.08483 + 6.98215i −0.296050 + 0.406517i
\(296\) 22.4159i 1.30290i
\(297\) −11.5328 3.17314i −0.669199 0.184125i
\(298\) −0.0313928 0.579006i −0.00181854 0.0335409i
\(299\) −0.00890655 + 0.00354869i −0.000515079 + 0.000205226i
\(300\) −2.73281 + 8.13154i −0.157779 + 0.469475i
\(301\) 10.4096 17.3008i 0.599997 0.997203i
\(302\) 8.01849 2.22632i 0.461412 0.128110i
\(303\) −0.603889 + 5.59306i −0.0346925 + 0.321313i
\(304\) 1.45470 0.158209i 0.0834330 0.00907389i
\(305\) 6.00749 3.61459i 0.343988 0.206971i
\(306\) −1.47485 + 2.45986i −0.0843117 + 0.140621i
\(307\) 6.19351 2.86543i 0.353483 0.163538i −0.235109 0.971969i \(-0.575545\pi\)
0.588592 + 0.808431i \(0.299683\pi\)
\(308\) 5.67719 + 0.617431i 0.323488 + 0.0351814i
\(309\) 1.80489 + 0.395817i 0.102676 + 0.0225172i
\(310\) 0.594779 1.49278i 0.0337812 0.0847843i
\(311\) −15.7125 16.5875i −0.890977 0.940592i 0.107586 0.994196i \(-0.465688\pi\)
−0.998562 + 0.0536033i \(0.982929\pi\)
\(312\) 0.0494284 0.302973i 0.00279833 0.0171525i
\(313\) −11.7153 6.21107i −0.662189 0.351070i 0.103179 0.994663i \(-0.467098\pi\)
−0.765368 + 0.643592i \(0.777443\pi\)
\(314\) 7.98083 10.4986i 0.450384 0.592471i
\(315\) 6.22728 1.03084i 0.350868 0.0580814i
\(316\) −18.4648 + 6.22151i −1.03873 + 0.349987i
\(317\) −0.143461 0.651748i −0.00805754 0.0366058i 0.972420 0.233236i \(-0.0749313\pi\)
−0.980478 + 0.196630i \(0.937000\pi\)
\(318\) −7.60921 11.2040i −0.426704 0.628290i
\(319\) 11.4744 + 1.88114i 0.642445 + 0.105323i
\(320\) 3.37760 2.86896i 0.188814 0.160380i
\(321\) 6.59933 9.74957i 0.368339 0.544168i
\(322\) −0.0367132 0.223941i −0.00204595 0.0124797i
\(323\) −2.51691 3.31094i −0.140045 0.184226i
\(324\) 10.2438 + 6.12024i 0.569100 + 0.340014i
\(325\) −0.200671 + 0.136059i −0.0111312 + 0.00754717i
\(326\) 12.3953 9.42266i 0.686512 0.521873i
\(327\) 6.58500 + 23.6458i 0.364152 + 1.30762i
\(328\) 8.01394 + 6.80710i 0.442496 + 0.375859i
\(329\) 7.49982 + 8.82947i 0.413478 + 0.486784i
\(330\) 0.196443 3.67596i 0.0108138 0.202355i
\(331\) −7.64692 14.4236i −0.420313 0.792794i 0.579440 0.815015i \(-0.303271\pi\)
−0.999753 + 0.0222206i \(0.992926\pi\)
\(332\) −15.6500 + 3.44483i −0.858907 + 0.189060i
\(333\) −12.7290 21.0816i −0.697545 1.15526i
\(334\) 5.45599 + 0.295815i 0.298538 + 0.0161863i
\(335\) −0.0528480 0.0401740i −0.00288740 0.00219494i
\(336\) −1.23376 0.490467i −0.0673074 0.0267572i
\(337\) 11.4558 + 3.18068i 0.624035 + 0.173263i 0.565131 0.825001i \(-0.308826\pi\)
0.0589043 + 0.998264i \(0.481239\pi\)
\(338\) −7.74654 + 7.33791i −0.421356 + 0.399130i
\(339\) −6.96484 1.92796i −0.378278 0.104712i
\(340\) 1.64519 + 0.554330i 0.0892231 + 0.0300628i
\(341\) −0.433171 + 3.98294i −0.0234575 + 0.215689i
\(342\) 6.99561 5.33508i 0.378279 0.288488i
\(343\) 14.2618 + 13.5095i 0.770066 + 0.729445i
\(344\) 15.1923 + 25.2497i 0.819112 + 1.36137i
\(345\) 0.280936 0.0620674i 0.0151251 0.00334159i
\(346\) −16.2054 3.56708i −0.871207 0.191767i
\(347\) −5.43363 19.5702i −0.291693 1.05058i −0.953620 0.301014i \(-0.902675\pi\)
0.661927 0.749568i \(-0.269739\pi\)
\(348\) −10.5316 4.86250i −0.564552 0.260657i
\(349\) 1.57425 3.40269i 0.0842678 0.182142i −0.860861 0.508841i \(-0.830074\pi\)
0.945128 + 0.326699i \(0.105936\pi\)
\(350\) −2.12407 5.33103i −0.113537 0.284955i
\(351\) 0.125559 + 0.313006i 0.00670182 + 0.0167070i
\(352\) −7.48978 + 11.0466i −0.399207 + 0.588786i
\(353\) −4.14852 −0.220803 −0.110402 0.993887i \(-0.535214\pi\)
−0.110402 + 0.993887i \(0.535214\pi\)
\(354\) 6.42369 8.83498i 0.341415 0.469574i
\(355\) 2.12017 0.112527
\(356\) −12.1619 + 17.9374i −0.644578 + 0.950682i
\(357\) 0.613387 + 3.72338i 0.0324639 + 0.197062i
\(358\) −5.12841 12.8713i −0.271045 0.680271i
\(359\) −11.4715 + 24.7952i −0.605442 + 1.30864i 0.326212 + 0.945297i \(0.394228\pi\)
−0.931654 + 0.363346i \(0.881634\pi\)
\(360\) −2.92788 + 8.73443i −0.154313 + 0.460345i
\(361\) −1.67005 6.01498i −0.0878974 0.316578i
\(362\) −18.4930 4.07061i −0.971968 0.213946i
\(363\) −2.13019 9.64188i −0.111806 0.506067i
\(364\) −0.0830105 0.137965i −0.00435093 0.00723131i
\(365\) −9.00332 8.52840i −0.471255 0.446397i
\(366\) −7.59383 + 4.57709i −0.396936 + 0.239248i
\(367\) 1.54522 14.2081i 0.0806599 0.741655i −0.882057 0.471143i \(-0.843841\pi\)
0.962717 0.270512i \(-0.0871930\pi\)
\(368\) −0.0573494 0.0193233i −0.00298955 0.00100730i
\(369\) −11.4023 1.85114i −0.593582 0.0963667i
\(370\) 5.50232 5.21208i 0.286052 0.270963i
\(371\) −17.1698 4.76717i −0.891410 0.247499i
\(372\) 1.47652 3.71416i 0.0765539 0.192570i
\(373\) 0.413213 + 0.314117i 0.0213954 + 0.0162643i 0.615817 0.787889i \(-0.288826\pi\)
−0.594422 + 0.804153i \(0.702619\pi\)
\(374\) 2.19754 + 0.119147i 0.113632 + 0.00616095i
\(375\) 15.4360 7.15602i 0.797113 0.369535i
\(376\) −16.5121 + 3.63459i −0.851548 + 0.187440i
\(377\) −0.153563 0.289651i −0.00790892 0.0149178i
\(378\) −7.87433 + 1.30977i −0.405012 + 0.0673674i
\(379\) −9.82402 11.5657i −0.504626 0.594092i 0.449581 0.893240i \(-0.351573\pi\)
−0.954207 + 0.299148i \(0.903298\pi\)
\(380\) −4.05875 3.44753i −0.208209 0.176855i
\(381\) 9.81358 2.73294i 0.502765 0.140013i
\(382\) −8.44309 + 6.41827i −0.431986 + 0.328387i
\(383\) 30.6236 20.7633i 1.56479 1.06095i 0.599298 0.800526i \(-0.295446\pi\)
0.965493 0.260429i \(-0.0838641\pi\)
\(384\) 11.0286 9.38255i 0.562803 0.478801i
\(385\) −2.93107 3.85575i −0.149381 0.196507i
\(386\) 2.23839 + 13.6536i 0.113931 + 0.694949i
\(387\) −28.6261 15.1197i −1.45515 0.768578i
\(388\) −13.8620 + 11.7745i −0.703738 + 0.597761i
\(389\) 0.0616944 + 0.0101143i 0.00312803 + 0.000512814i 0.163346 0.986569i \(-0.447771\pi\)
−0.160218 + 0.987082i \(0.551220\pi\)
\(390\) −0.0858621 + 0.0583133i −0.00434780 + 0.00295281i
\(391\) 0.0369758 + 0.167983i 0.00186995 + 0.00849526i
\(392\) −9.05500 + 3.05098i −0.457346 + 0.154098i
\(393\) −1.96539 + 0.108091i −0.0991406 + 0.00545245i
\(394\) −13.0216 + 17.1296i −0.656017 + 0.862975i
\(395\) 14.6005 + 7.74067i 0.734629 + 0.389476i
\(396\) 0.481516 9.14364i 0.0241971 0.459485i
\(397\) −11.6596 12.3089i −0.585179 0.617766i 0.364420 0.931235i \(-0.381267\pi\)
−0.949598 + 0.313469i \(0.898509\pi\)
\(398\) 1.63972 4.11539i 0.0821917 0.206286i
\(399\) 2.47956 11.3065i 0.124133 0.566035i
\(400\) −1.52139 0.165461i −0.0760694 0.00827305i
\(401\) 20.1190 9.30805i 1.00470 0.464822i 0.152645 0.988281i \(-0.451221\pi\)
0.852051 + 0.523459i \(0.175359\pi\)
\(402\) 0.0668738 + 0.0507543i 0.00333536 + 0.00253139i
\(403\) 0.0967918 0.0582377i 0.00482155 0.00290103i
\(404\) −4.28109 + 0.465596i −0.212992 + 0.0231643i
\(405\) −2.20630 9.87711i −0.109632 0.490798i
\(406\) 7.47696 2.07597i 0.371075 0.103028i
\(407\) −9.74209 + 16.1915i −0.482897 + 0.802582i
\(408\) −5.22042 1.75445i −0.258449 0.0868583i
\(409\) −26.0682 + 10.3865i −1.28899 + 0.513580i −0.911067 0.412257i \(-0.864740\pi\)
−0.377922 + 0.925838i \(0.623361\pi\)
\(410\) −0.192470 3.54990i −0.00950542 0.175317i
\(411\) 14.9862 28.3202i 0.739217 1.39693i
\(412\) 1.41446i 0.0696855i
\(413\) −1.07268 14.3318i −0.0527833 0.705220i
\(414\) −0.355225 + 0.0787694i −0.0174584 + 0.00387130i
\(415\) 11.2491 + 7.62705i 0.552194 + 0.374397i
\(416\) 0.375748 0.0203725i 0.0184226 0.000998842i
\(417\) −15.6061 + 8.28933i −0.764232 + 0.405930i
\(418\) −6.12681 2.83456i −0.299672 0.138643i
\(419\) 6.39610 + 3.84841i 0.312470 + 0.188007i 0.663146 0.748490i \(-0.269221\pi\)
−0.350676 + 0.936497i \(0.614048\pi\)
\(420\) 1.79192 + 4.48725i 0.0874368 + 0.218955i
\(421\) 0.419281 1.90481i 0.0204345 0.0928348i −0.965300 0.261145i \(-0.915900\pi\)
0.985734 + 0.168310i \(0.0538310\pi\)
\(422\) −0.0700515 0.644113i −0.00341005 0.0313549i
\(423\) 13.4653 12.7947i 0.654705 0.622101i
\(424\) 17.8846 18.8805i 0.868552 0.916919i
\(425\) 1.82636 + 3.94762i 0.0885917 + 0.191488i
\(426\) −2.68128 + 0.00208164i −0.129908 + 0.000100856i
\(427\) −3.72488 + 11.0550i −0.180259 + 0.534991i
\(428\) 8.37213 + 3.33576i 0.404682 + 0.161240i
\(429\) 0.167377 0.197362i 0.00808103 0.00952871i
\(430\) 2.66547 9.60015i 0.128540 0.462960i
\(431\) 2.18474 4.12086i 0.105235 0.198495i −0.825302 0.564691i \(-0.808995\pi\)
0.930538 + 0.366196i \(0.119340\pi\)
\(432\) −0.675017 + 2.01891i −0.0324768 + 0.0971347i
\(433\) 0.413053 7.61831i 0.0198500 0.366113i −0.971686 0.236278i \(-0.924073\pi\)
0.991536 0.129835i \(-0.0414447\pi\)
\(434\) 0.853727 + 2.53377i 0.0409802 + 0.121625i
\(435\) 3.14858 + 9.32072i 0.150963 + 0.446894i
\(436\) −16.6007 + 8.80115i −0.795031 + 0.421499i
\(437\) 0.0853585 0.520664i 0.00408325 0.0249067i
\(438\) 11.3944 + 10.7766i 0.544447 + 0.514926i
\(439\) −11.9161 + 14.0288i −0.568726 + 0.669556i −0.969063 0.246812i \(-0.920617\pi\)
0.400337 + 0.916368i \(0.368893\pi\)
\(440\) 6.97551 1.14358i 0.332545 0.0545179i
\(441\) 6.78347 8.01129i 0.323022 0.381490i
\(442\) −0.0348220 0.0513587i −0.00165632 0.00244288i
\(443\) 17.5909 + 25.9447i 0.835770 + 1.23267i 0.970335 + 0.241764i \(0.0777260\pi\)
−0.134565 + 0.990905i \(0.542964\pi\)
\(444\) 13.6759 12.9747i 0.649031 0.615751i
\(445\) 18.1381 2.97360i 0.859831 0.140962i
\(446\) −10.3500 + 12.1850i −0.490087 + 0.576975i
\(447\) −0.840529 + 0.888717i −0.0397557 + 0.0420349i
\(448\) −1.19294 + 7.27659i −0.0563609 + 0.343787i
\(449\) 14.8046 7.84891i 0.698673 0.370413i −0.0809019 0.996722i \(-0.525780\pi\)
0.779575 + 0.626309i \(0.215435\pi\)
\(450\) −8.34469 + 3.87641i −0.393373 + 0.182736i
\(451\) 2.83022 + 8.39981i 0.133270 + 0.395531i
\(452\) 0.299498 5.52392i 0.0140872 0.259823i
\(453\) −15.0494 9.03901i −0.707082 0.424690i
\(454\) 9.02976 17.0319i 0.423788 0.799349i
\(455\) −0.0365332 + 0.131581i −0.00171270 + 0.00616860i
\(456\) 12.8841 + 10.9266i 0.603352 + 0.511686i
\(457\) 1.02374 + 0.407896i 0.0478886 + 0.0190806i 0.393959 0.919128i \(-0.371105\pi\)
−0.346071 + 0.938208i \(0.612484\pi\)
\(458\) −0.253719 + 0.753011i −0.0118555 + 0.0351859i
\(459\) 5.90594 1.31442i 0.275665 0.0613521i
\(460\) 0.0924764 + 0.199885i 0.00431174 + 0.00931967i
\(461\) 9.90432 10.4559i 0.461290 0.486978i −0.453301 0.891357i \(-0.649754\pi\)
0.914591 + 0.404379i \(0.132512\pi\)
\(462\) 3.71057 + 4.87331i 0.172631 + 0.226727i
\(463\) 1.36284 + 12.5311i 0.0633365 + 0.582369i 0.982206 + 0.187807i \(0.0601381\pi\)
−0.918869 + 0.394562i \(0.870896\pi\)
\(464\) 0.444853 2.02099i 0.0206518 0.0938220i
\(465\) −3.14812 + 1.25716i −0.145991 + 0.0582994i
\(466\) 19.4830 + 11.7225i 0.902532 + 0.543036i
\(467\) −2.74357 1.26931i −0.126957 0.0587367i 0.355382 0.934721i \(-0.384351\pi\)
−0.482339 + 0.875984i \(0.660213\pi\)
\(468\) −0.213453 + 0.145209i −0.00986688 + 0.00671230i
\(469\) 0.110294 0.00597999i 0.00509293 0.000276130i
\(470\) 4.73151 + 3.20804i 0.218248 + 0.147976i
\(471\) −27.6546 + 3.02934i −1.27426 + 0.139585i
\(472\) 19.2133 + 8.41431i 0.884364 + 0.387300i
\(473\) 24.8410i 1.14219i
\(474\) −18.4721 9.77492i −0.848451 0.448977i
\(475\) −0.722337 13.3227i −0.0331431 0.611288i
\(476\) −2.68348 + 1.06920i −0.122997 + 0.0490065i
\(477\) −6.09858 + 27.9125i −0.279235 + 1.27802i
\(478\) 10.9560 18.2090i 0.501114 0.832858i
\(479\) 28.2413 7.84115i 1.29038 0.358272i 0.446488 0.894789i \(-0.352674\pi\)
0.843889 + 0.536518i \(0.180261\pi\)
\(480\) −11.2271 1.21220i −0.512445 0.0553293i
\(481\) 0.529660 0.0576040i 0.0241504 0.00262652i
\(482\) 6.83733 4.11388i 0.311432 0.187382i
\(483\) −0.289413 + 0.381331i −0.0131688 + 0.0173511i
\(484\) 6.86015 3.17384i 0.311825 0.144266i
\(485\) 15.3351 + 1.66779i 0.696329 + 0.0757304i
\(486\) 2.79990 + 12.4889i 0.127006 + 0.566510i
\(487\) −6.40069 + 16.0645i −0.290043 + 0.727953i 0.709683 + 0.704522i \(0.248838\pi\)
−0.999725 + 0.0234312i \(0.992541\pi\)
\(488\) −11.7084 12.3605i −0.530016 0.559531i
\(489\) −32.4174 5.28872i −1.46597 0.239164i
\(490\) 2.85435 + 1.51328i 0.128946 + 0.0683629i
\(491\) 21.9119 28.8246i 0.988869 1.30083i 0.0353902 0.999374i \(-0.488733\pi\)
0.953479 0.301461i \(-0.0974743\pi\)
\(492\) −0.485588 8.82934i −0.0218920 0.398058i
\(493\) −5.57374 + 1.87801i −0.251029 + 0.0845814i
\(494\) 0.0409169 + 0.185887i 0.00184094 + 0.00836347i
\(495\) −5.91090 + 5.03658i −0.265675 + 0.226378i
\(496\) 0.703633 + 0.115355i 0.0315940 + 0.00517958i
\(497\) −2.68871 + 2.28381i −0.120605 + 0.102443i
\(498\) −14.2336 9.63451i −0.637824 0.431733i
\(499\) 0.635879 + 3.87869i 0.0284659 + 0.173634i 0.997233 0.0743377i \(-0.0236843\pi\)
−0.968767 + 0.247972i \(0.920236\pi\)
\(500\) 7.88189 + 10.3684i 0.352489 + 0.463691i
\(501\) −7.46896 8.77932i −0.333689 0.392231i
\(502\) −6.51438 + 4.41686i −0.290751 + 0.197134i
\(503\) −25.1518 + 19.1199i −1.12146 + 0.852515i −0.990314 0.138848i \(-0.955660\pi\)
−0.131150 + 0.991363i \(0.541867\pi\)
\(504\) −5.69557 14.2305i −0.253701 0.633877i
\(505\) 2.78364 + 2.36445i 0.123871 + 0.105217i
\(506\) 0.180745 + 0.212790i 0.00803510 + 0.00945965i
\(507\) 22.4773 + 1.20118i 0.998252 + 0.0533464i
\(508\) 3.65269 + 6.88970i 0.162062 + 0.305681i
\(509\) −36.2716 + 7.98399i −1.60771 + 0.353884i −0.925937 0.377678i \(-0.876723\pi\)
−0.681775 + 0.731562i \(0.738792\pi\)
\(510\) 0.783177 + 1.68937i 0.0346797 + 0.0748064i
\(511\) 20.6043 + 1.11713i 0.911480 + 0.0494190i
\(512\) 3.67213 + 2.79148i 0.162287 + 0.123367i
\(513\) −18.3219 2.95991i −0.808930 0.130683i
\(514\) 4.51127 + 1.25255i 0.198984 + 0.0552475i
\(515\) 0.870931 0.824990i 0.0383778 0.0363534i
\(516\) 6.61131 23.8837i 0.291047 1.05142i
\(517\) −13.5066 4.55092i −0.594022 0.200149i
\(518\) −1.36345 + 12.5367i −0.0599067 + 0.550833i
\(519\) 18.0700 + 29.9798i 0.793183 + 1.31597i
\(520\) −0.144691 0.137059i −0.00634513 0.00601042i
\(521\) 7.24746 + 12.0454i 0.317517 + 0.527717i 0.973978 0.226643i \(-0.0727750\pi\)
−0.656461 + 0.754360i \(0.727947\pi\)
\(522\) −3.99100 11.7844i −0.174681 0.515788i
\(523\) 20.5262 + 4.51816i 0.897548 + 0.197565i 0.639704 0.768621i \(-0.279057\pi\)
0.257844 + 0.966187i \(0.416988\pi\)
\(524\) −0.403102 1.45184i −0.0176096 0.0634239i
\(525\) −5.07458 + 10.9909i −0.221473 + 0.479683i
\(526\) −1.76903 + 3.82370i −0.0771335 + 0.166721i
\(527\) −0.750116 1.88265i −0.0326756 0.0820095i
\(528\) 1.61172 0.265513i 0.0701411 0.0115550i
\(529\) 12.8951 19.0188i 0.560655 0.826904i
\(530\) −8.79297 −0.381942
\(531\) −22.8477 + 2.99694i −0.991507 + 0.130056i
\(532\) 8.86076 0.384163
\(533\) 0.140249 0.206852i 0.00607487 0.00895976i
\(534\) −22.9355 + 3.77837i −0.992517 + 0.163506i
\(535\) −2.82914 7.10060i −0.122314 0.306986i
\(536\) −0.0676886 + 0.146307i −0.00292370 + 0.00631948i
\(537\) −12.2522 + 26.5367i −0.528721 + 1.14514i
\(538\) 4.53036 + 16.3169i 0.195318 + 0.703471i
\(539\) −7.86658 1.73156i −0.338837 0.0745838i
\(540\) 7.02356 3.26933i 0.302246 0.140689i
\(541\) 12.6901 + 21.0911i 0.545590 + 0.906778i 0.999873 + 0.0159206i \(0.00506790\pi\)
−0.454283 + 0.890857i \(0.650105\pi\)
\(542\) −5.09747 4.82858i −0.218955 0.207405i
\(543\) 20.6207 + 34.2117i 0.884920 + 1.46817i
\(544\) 0.729912 6.71143i 0.0312947 0.287750i
\(545\) 15.1016 + 5.08832i 0.646882 + 0.217960i
\(546\) 0.0460726 0.166440i 0.00197173 0.00712296i
\(547\) 5.70372 5.40285i 0.243874 0.231009i −0.555993 0.831187i \(-0.687662\pi\)
0.799867 + 0.600177i \(0.204903\pi\)
\(548\) 23.6331 + 6.56169i 1.00955 + 0.280301i
\(549\) 18.0304 + 4.97598i 0.769520 + 0.212370i
\(550\) 5.62057 + 4.27265i 0.239662 + 0.182186i
\(551\) 18.0151 + 0.976752i 0.767471 + 0.0416110i
\(552\) −0.293856 0.633867i −0.0125073 0.0269792i
\(553\) −26.8538 + 5.91097i −1.14194 + 0.251360i
\(554\) 1.03258 + 1.94764i 0.0438699 + 0.0827475i
\(555\) −15.9655 0.853193i −0.677697 0.0362160i
\(556\) −8.75717 10.3097i −0.371387 0.437230i
\(557\) −19.8516 16.8621i −0.841140 0.714471i 0.119330 0.992855i \(-0.461925\pi\)
−0.960470 + 0.278384i \(0.910201\pi\)
\(558\) 3.98004 1.59296i 0.168489 0.0674353i
\(559\) 0.557579 0.423860i 0.0235831 0.0179274i
\(560\) −0.713445 + 0.483728i −0.0301486 + 0.0204412i
\(561\) −3.00832 3.53610i −0.127011 0.149294i
\(562\) −9.73969 12.8123i −0.410844 0.540456i
\(563\) 3.12384 + 19.0546i 0.131654 + 0.803054i 0.967272 + 0.253742i \(0.0816616\pi\)
−0.835618 + 0.549311i \(0.814890\pi\)
\(564\) 11.7749 + 7.97026i 0.495814 + 0.335608i
\(565\) −3.57595 + 3.03744i −0.150441 + 0.127786i
\(566\) 2.08842 + 0.342379i 0.0877828 + 0.0143913i
\(567\) 13.4374 + 10.1492i 0.564318 + 0.426225i
\(568\) −1.10679 5.02820i −0.0464399 0.210979i
\(569\) 18.5870 6.26269i 0.779208 0.262546i 0.0985354 0.995134i \(-0.468584\pi\)
0.680672 + 0.732588i \(0.261688\pi\)
\(570\) −0.313660 5.70321i −0.0131378 0.238881i
\(571\) 19.6722 25.8784i 0.823258 1.08298i −0.171942 0.985107i \(-0.555004\pi\)
0.995199 0.0978698i \(-0.0312029\pi\)
\(572\) 0.175018 + 0.0927886i 0.00731787 + 0.00387969i
\(573\) 22.0812 + 3.60243i 0.922456 + 0.150494i
\(574\) 4.06798 + 4.29451i 0.169794 + 0.179250i
\(575\) −0.204242 + 0.512610i −0.00851749 + 0.0213773i
\(576\) 11.7555 + 1.26002i 0.489812 + 0.0525009i
\(577\) −38.3936 4.17556i −1.59835 0.173831i −0.734866 0.678212i \(-0.762755\pi\)
−0.863481 + 0.504381i \(0.831721\pi\)
\(578\) 11.6575 5.39334i 0.484889 0.224333i
\(579\) 17.6454 23.2496i 0.733318 0.966219i
\(580\) −6.45302 + 3.88266i −0.267947 + 0.161219i
\(581\) −22.4813 + 2.44499i −0.932682 + 0.101435i
\(582\) −19.3951 2.09412i −0.803955 0.0868039i
\(583\) 21.1240 5.86504i 0.874865 0.242905i
\(584\) −15.5260 + 25.8044i −0.642469 + 1.06779i
\(585\) 0.213908 + 0.0467365i 0.00884399 + 0.00193232i
\(586\) 7.74049 3.08409i 0.319757 0.127403i
\(587\) −0.652689 12.0381i −0.0269394 0.496867i −0.980604 0.195997i \(-0.937206\pi\)
0.953665 0.300870i \(-0.0972771\pi\)
\(588\) 7.10257 + 3.75848i 0.292905 + 0.154997i
\(589\) 6.21645i 0.256144i
\(590\) −2.40200 6.67266i −0.0988886 0.274709i
\(591\) 45.1213 4.94269i 1.85604 0.203315i
\(592\) 2.78351 + 1.88727i 0.114402 + 0.0775662i
\(593\) −1.23597 + 0.0670122i −0.0507551 + 0.00275186i −0.0794990 0.996835i \(-0.525332\pi\)
0.0287439 + 0.999587i \(0.490849\pi\)
\(594\) 7.47028 6.37533i 0.306509 0.261583i
\(595\) 2.22349 + 1.02870i 0.0911542 + 0.0421724i
\(596\) −0.802342 0.482753i −0.0328652 0.0197743i
\(597\) −8.67892 + 3.46581i −0.355205 + 0.141846i
\(598\) 0.00169221 0.00768779i 6.91997e−5 0.000314377i
\(599\) 1.11866 + 10.2859i 0.0457072 + 0.420271i 0.994529 + 0.104459i \(0.0333112\pi\)
−0.948822 + 0.315812i \(0.897723\pi\)
\(600\) −10.7031 14.0570i −0.436951 0.573874i
\(601\) −8.49939 + 8.97269i −0.346697 + 0.366004i −0.875901 0.482491i \(-0.839732\pi\)
0.529204 + 0.848495i \(0.322491\pi\)
\(602\) 6.96088 + 15.0457i 0.283704 + 0.613217i
\(603\) −0.0194215 0.176035i −0.000790906 0.00716869i
\(604\) 4.29091 12.7350i 0.174595 0.518179i
\(605\) −5.95546 2.37287i −0.242124 0.0964709i
\(606\) −3.52266 2.98747i −0.143098 0.121358i
\(607\) −5.55044 + 19.9909i −0.225286 + 0.811405i 0.761333 + 0.648361i \(0.224545\pi\)
−0.986619 + 0.163044i \(0.947869\pi\)
\(608\) −9.69998 + 18.2961i −0.393386 + 0.742005i
\(609\) −14.0330 8.42856i −0.568647 0.341542i
\(610\) −0.311649 + 5.74802i −0.0126183 + 0.232731i
\(611\) 0.128313 + 0.380820i 0.00519100 + 0.0154063i
\(612\) 1.95127 + 4.20047i 0.0788753 + 0.169794i
\(613\) −36.2982 + 19.2441i −1.46607 + 0.777261i −0.994517 0.104578i \(-0.966651\pi\)
−0.471552 + 0.881838i \(0.656306\pi\)
\(614\) −0.906475 + 5.52925i −0.0365824 + 0.223142i
\(615\) −5.15331 + 5.44874i −0.207801 + 0.219715i
\(616\) −7.61421 + 8.96414i −0.306785 + 0.361176i
\(617\) 34.0546 5.58296i 1.37099 0.224762i 0.569114 0.822258i \(-0.307286\pi\)
0.801871 + 0.597497i \(0.203838\pi\)
\(618\) −1.10061 + 1.04418i −0.0442732 + 0.0420031i
\(619\) −21.4717 31.6684i −0.863021 1.27286i −0.960685 0.277642i \(-0.910447\pi\)
0.0976634 0.995220i \(-0.468863\pi\)
\(620\) −1.45623 2.14778i −0.0584836 0.0862568i
\(621\) 0.636308 + 0.429268i 0.0255342 + 0.0172259i
\(622\) 18.5123 3.03493i 0.742275 0.121690i
\(623\) −19.7989 + 23.3091i −0.793227 + 0.933859i
\(624\) −0.0334603 0.0316460i −0.00133948 0.00126686i
\(625\) −1.23462 + 7.53083i −0.0493847 + 0.301233i
\(626\) 9.61890 5.09962i 0.384449 0.203822i
\(627\) 4.55765 + 13.4920i 0.182015 + 0.538819i
\(628\) −6.79985 20.1812i −0.271344 0.805319i
\(629\) 0.517481 9.54438i 0.0206333 0.380559i
\(630\) −2.16877 + 4.70689i −0.0864060 + 0.187527i
\(631\) 7.83587 14.7800i 0.311941 0.588383i −0.677123 0.735870i \(-0.736774\pi\)
0.989064 + 0.147487i \(0.0471184\pi\)
\(632\) 10.7359 38.6673i 0.427052 1.53810i
\(633\) −0.884038 + 1.04241i −0.0351374 + 0.0414320i
\(634\) 0.509014 + 0.202810i 0.0202155 + 0.00805460i
\(635\) 2.11178 6.26753i 0.0838033 0.248719i
\(636\) −21.8708 + 0.0169797i −0.867235 + 0.000673287i
\(637\) 0.0953602 + 0.206118i 0.00377831 + 0.00816668i
\(638\) −6.56538 + 6.93099i −0.259926 + 0.274401i
\(639\) 3.89620 + 4.10040i 0.154131 + 0.162209i
\(640\) −1.01640 9.34561i −0.0401766 0.369418i
\(641\) −8.08381 + 36.7251i −0.319291 + 1.45056i 0.494388 + 0.869241i \(0.335392\pi\)
−0.813679 + 0.581314i \(0.802539\pi\)
\(642\) 3.58484 + 8.97701i 0.141483 + 0.354294i
\(643\) 14.5242 + 8.73892i 0.572778 + 0.344629i 0.772294 0.635265i \(-0.219109\pi\)
−0.199516 + 0.979895i \(0.563937\pi\)
\(644\) −0.332587 0.153871i −0.0131058 0.00606337i
\(645\) −18.5621 + 9.85946i −0.730881 + 0.388216i
\(646\) 3.40974 0.184871i 0.134154 0.00727364i
\(647\) −26.2884 17.8240i −1.03350 0.700734i −0.0783759 0.996924i \(-0.524973\pi\)
−0.955129 + 0.296190i \(0.904284\pi\)
\(648\) −22.2728 + 10.3886i −0.874959 + 0.408103i
\(649\) 10.2213 + 14.4280i 0.401219 + 0.566350i
\(650\) 0.199063i 0.00780788i
\(651\) 2.63813 4.98538i 0.103396 0.195392i
\(652\) −1.36123 25.1065i −0.0533101 0.983246i
\(653\) 41.2914 16.4520i 1.61586 0.643817i 0.625234 0.780437i \(-0.285003\pi\)
0.990623 + 0.136621i \(0.0436241\pi\)
\(654\) −19.1033 6.42013i −0.746997 0.251047i
\(655\) −0.658837 + 1.09500i −0.0257429 + 0.0427850i
\(656\) 1.51999 0.422024i 0.0593458 0.0164773i
\(657\) −0.0513715 33.0848i −0.00200419 1.29076i
\(658\) −9.45595 + 1.02840i −0.368631 + 0.0400911i
\(659\) 24.4639 14.7194i 0.952978 0.573388i 0.0480002 0.998847i \(-0.484715\pi\)
0.904977 + 0.425460i \(0.139888\pi\)
\(660\) −4.73523 3.59383i −0.184318 0.139890i
\(661\) −10.8212 + 5.00643i −0.420897 + 0.194728i −0.618893 0.785475i \(-0.712419\pi\)
0.197996 + 0.980203i \(0.436557\pi\)
\(662\) 13.3254 + 1.44922i 0.517906 + 0.0563257i
\(663\) −0.0280401 + 0.127860i −0.00108899 + 0.00496569i
\(664\) 12.2160 30.6598i 0.474072 1.18983i
\(665\) −5.16808 5.45587i −0.200409 0.211570i
\(666\) 20.1916 + 1.06332i 0.782409 + 0.0412027i
\(667\) −0.659233 0.349503i −0.0255256 0.0135328i
\(668\) 5.33976 7.02433i 0.206601 0.271780i
\(669\) 33.6752 1.85204i 1.30196 0.0716040i
\(670\) 0.0516518 0.0174035i 0.00199548 0.000672357i
\(671\) −3.08532 14.0168i −0.119107 0.541111i
\(672\) 15.5435 10.5564i 0.599604 0.407222i
\(673\) 20.6411 + 3.38394i 0.795657 + 0.130441i 0.545881 0.837863i \(-0.316195\pi\)
0.249775 + 0.968304i \(0.419643\pi\)
\(674\) −7.43992 + 6.31953i −0.286575 + 0.243419i
\(675\) 18.0483 + 7.14243i 0.694679 + 0.274912i
\(676\) 2.78763 + 17.0038i 0.107216 + 0.653991i
\(677\) −24.6738 32.4578i −0.948290 1.24745i −0.968846 0.247665i \(-0.920337\pi\)
0.0205557 0.999789i \(-0.493456\pi\)
\(678\) 4.51935 3.84481i 0.173564 0.147659i
\(679\) −21.2438 + 14.4037i −0.815262 + 0.552762i
\(680\) −2.84647 + 2.16383i −0.109157 + 0.0829790i
\(681\) −39.1761 + 10.9100i −1.50123 + 0.418071i
\(682\) −2.50713 2.12957i −0.0960028 0.0815455i
\(683\) −4.50663 5.30561i −0.172441 0.203014i 0.669152 0.743126i \(-0.266658\pi\)
−0.841593 + 0.540112i \(0.818382\pi\)
\(684\) −0.791183 14.1851i −0.0302516 0.542379i
\(685\) −9.74383 18.3788i −0.372293 0.702218i
\(686\) −15.7521 + 3.46730i −0.601417 + 0.132382i
\(687\) 1.52079 0.705024i 0.0580216 0.0268984i
\(688\) 4.41448 + 0.239346i 0.168301 + 0.00912499i
\(689\) −0.492082 0.374071i −0.0187469 0.0142510i
\(690\) −0.0872657 + 0.219516i −0.00332215 + 0.00835682i
\(691\) −2.92794 0.812938i −0.111384 0.0309256i 0.211389 0.977402i \(-0.432201\pi\)
−0.322773 + 0.946476i \(0.604615\pi\)
\(692\) −19.4535 + 18.4273i −0.739511 + 0.700502i
\(693\) 2.07063 12.7543i 0.0786568 0.484496i
\(694\) 15.8031 + 5.32467i 0.599876 + 0.202122i
\(695\) −1.24040 + 11.4053i −0.0470511 + 0.432627i
\(696\) 20.4614 12.3329i 0.775587 0.467476i
\(697\) −3.25507 3.08337i −0.123295 0.116791i
\(698\) 1.58703 + 2.63766i 0.0600699 + 0.0998370i
\(699\) −10.3477 46.8369i −0.391386 1.77153i
\(700\) −9.05028 1.99212i −0.342069 0.0752950i
\(701\) −8.34226 30.0461i −0.315083 1.13483i −0.936304 0.351190i \(-0.885777\pi\)
0.621221 0.783635i \(-0.286637\pi\)
\(702\) −0.270565 0.0588954i −0.0102118 0.00222286i
\(703\) −12.3111 + 26.6100i −0.464322 + 1.00362i
\(704\) −3.35785 8.42758i −0.126554 0.317626i
\(705\) −1.96021 11.8989i −0.0738259 0.448139i
\(706\) 1.91149 2.81924i 0.0719398 0.106103i
\(707\) −6.07705 −0.228551
\(708\) −5.98740 16.5923i −0.225020 0.623578i
\(709\) −28.2039 −1.05922 −0.529610 0.848241i \(-0.677662\pi\)
−0.529610 + 0.848241i \(0.677662\pi\)
\(710\) −0.976900 + 1.44082i −0.0366624 + 0.0540730i
\(711\) 11.8606 + 42.4621i 0.444806 + 1.59245i
\(712\) −16.5208 41.4642i −0.619144 1.55393i
\(713\) 0.107951 0.233333i 0.00404281 0.00873840i
\(714\) −2.81295 1.29876i −0.105272 0.0486048i
\(715\) −0.0449468 0.161884i −0.00168092 0.00605411i
\(716\) −21.8512 4.80981i −0.816618 0.179751i
\(717\) −43.7741 + 9.67105i −1.63477 + 0.361172i
\(718\) −11.5646 19.2205i −0.431587 0.717303i
\(719\) −29.5234 27.9660i −1.10104 1.04296i −0.998838 0.0481922i \(-0.984654\pi\)
−0.102198 0.994764i \(-0.532587\pi\)
\(720\) 0.838096 + 1.09895i 0.0312340 + 0.0409555i
\(721\) −0.215813 + 1.98437i −0.00803731 + 0.0739018i
\(722\) 4.85714 + 1.63656i 0.180764 + 0.0609064i
\(723\) −16.2232 4.49077i −0.603345 0.167014i
\(724\) −22.1996 + 21.0286i −0.825041 + 0.781520i
\(725\) −18.1809 5.04789i −0.675220 0.187474i
\(726\) 7.53391 + 2.99501i 0.279609 + 0.111155i
\(727\) 28.7551 + 21.8590i 1.06647 + 0.810707i 0.982593 0.185769i \(-0.0594778\pi\)
0.0838734 + 0.996476i \(0.473271\pi\)
\(728\) 0.331129 + 0.0179533i 0.0122724 + 0.000665393i
\(729\) 15.0478 22.4179i 0.557325 0.830294i
\(730\) 9.94411 2.18886i 0.368048 0.0810135i
\(731\) −5.88574 11.1017i −0.217692 0.410611i
\(732\) −0.764067 + 14.2977i −0.0282407 + 0.528459i
\(733\) 9.15821 + 10.7819i 0.338266 + 0.398238i 0.904825 0.425783i \(-0.140001\pi\)
−0.566559 + 0.824021i \(0.691726\pi\)
\(734\) 8.94349 + 7.59667i 0.330110 + 0.280398i
\(735\) −1.82838 6.56544i −0.0674407 0.242170i
\(736\) 0.681807 0.518296i 0.0251317 0.0191047i
\(737\) −0.112478 + 0.0762623i −0.00414320 + 0.00280916i
\(738\) 6.51179 6.89582i 0.239702 0.253839i
\(739\) −21.3128 28.0365i −0.784003 1.03134i −0.998507 0.0546151i \(-0.982607\pi\)
0.214505 0.976723i \(-0.431186\pi\)
\(740\) −1.98003 12.0777i −0.0727875 0.443984i
\(741\) 0.225073 0.332514i 0.00826827 0.0122152i
\(742\) 11.1509 9.47164i 0.409361 0.347715i
\(743\) 7.44772 + 1.22099i 0.273230 + 0.0447939i 0.296839 0.954927i \(-0.404067\pi\)
−0.0236090 + 0.999721i \(0.507516\pi\)
\(744\) 4.62489 + 6.80982i 0.169557 + 0.249660i
\(745\) 0.170722 + 0.775597i 0.00625476 + 0.0284157i
\(746\) −0.403860 + 0.136076i −0.0147864 + 0.00498211i
\(747\) 5.92151 + 35.7716i 0.216657 + 1.30882i
\(748\) 2.15072 2.82923i 0.0786383 0.103447i
\(749\) 11.2364 + 5.95718i 0.410571 + 0.217671i
\(750\) −2.24931 + 13.7872i −0.0821330 + 0.503437i
\(751\) 8.78288 + 9.27198i 0.320492 + 0.338339i 0.866257 0.499599i \(-0.166519\pi\)
−0.545765 + 0.837938i \(0.683761\pi\)
\(752\) −0.938879 + 2.35641i −0.0342374 + 0.0859294i
\(753\) 16.2179 + 3.55663i 0.591014 + 0.129611i
\(754\) 0.267597 + 0.0291029i 0.00974530 + 0.00105987i
\(755\) −10.3440 + 4.78567i −0.376459 + 0.174168i
\(756\) −5.38533 + 11.7117i −0.195862 + 0.425950i
\(757\) −22.1003 + 13.2973i −0.803249 + 0.483299i −0.857038 0.515253i \(-0.827698\pi\)
0.0537889 + 0.998552i \(0.482870\pi\)
\(758\) 12.3864 1.34710i 0.449893 0.0489288i
\(759\) 0.0632242 0.585566i 0.00229489 0.0212547i
\(760\) 10.5680 2.93420i 0.383343 0.106435i
\(761\) −7.73772 + 12.8602i −0.280492 + 0.466182i −0.964790 0.263021i \(-0.915281\pi\)
0.684298 + 0.729202i \(0.260109\pi\)
\(762\) −2.66451 + 7.92832i −0.0965250 + 0.287213i
\(763\) −24.6323 + 9.81440i −0.891749 + 0.355305i
\(764\) 0.927209 + 17.1014i 0.0335452 + 0.618705i
\(765\) 1.44829 3.65140i 0.0523629 0.132017i
\(766\) 30.3780i 1.09760i
\(767\) 0.149446 0.475609i 0.00539617 0.0171733i
\(768\) 2.78112 + 25.3886i 0.100355 + 0.916132i
\(769\) −3.08151 2.08932i −0.111122 0.0753427i 0.504360 0.863493i \(-0.331728\pi\)
−0.615482 + 0.788151i \(0.711039\pi\)
\(770\) 3.97081 0.215291i 0.143098 0.00775856i
\(771\) −4.63312 8.72263i −0.166858 0.314138i
\(772\) 20.2777 + 9.38146i 0.729810 + 0.337646i