Properties

Label 483.2.y.b.4.1
Level $483$
Weight $2$
Character 483.4
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 4.1
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.48158 + 2.08058i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.47962 - 4.27509i) q^{4} +(0.193923 - 4.07094i) q^{5} +(1.67264 + 1.93033i) q^{6} +(-2.46944 - 0.949661i) q^{7} +(6.18541 + 1.81620i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.48158 + 2.08058i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.47962 - 4.27509i) q^{4} +(0.193923 - 4.07094i) q^{5} +(1.67264 + 1.93033i) q^{6} +(-2.46944 - 0.949661i) q^{7} +(6.18541 + 1.81620i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(8.18263 + 6.43489i) q^{10} +(-0.448336 - 0.629599i) q^{11} +(-4.50342 + 0.430025i) q^{12} +(-0.607778 + 4.22719i) q^{13} +(5.63452 - 3.73089i) q^{14} +(-3.91047 - 1.14822i) q^{15} +(-5.83087 + 4.58545i) q^{16} +(-4.50344 + 0.867966i) q^{17} +(2.27026 - 1.17040i) q^{18} +(7.00991 + 1.35105i) q^{19} +(-17.6906 + 5.19443i) q^{20} +(-1.50508 + 2.17594i) q^{21} +1.97418 q^{22} +(-4.57574 - 1.43618i) q^{23} +(3.22327 - 5.58287i) q^{24} +(-11.5576 - 1.10362i) q^{25} +(-7.89456 - 7.52745i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.406041 + 11.9622i) q^{28} +(-3.32466 - 3.83686i) q^{29} +(8.18263 - 6.43489i) q^{30} +(-3.55639 + 3.39101i) q^{31} +(-0.288046 - 6.04684i) q^{32} +(-0.717551 + 0.287264i) q^{33} +(4.86631 - 10.6557i) q^{34} +(-4.34489 + 9.86879i) q^{35} +(-0.643819 + 4.47786i) q^{36} +(2.25055 + 1.16024i) q^{37} +(-13.1967 + 12.5830i) q^{38} +(3.96475 + 1.58724i) q^{39} +(8.59314 - 24.8282i) q^{40} +(4.44012 + 2.85349i) q^{41} +(-2.29733 - 6.35528i) q^{42} +(-2.69708 + 0.791933i) q^{43} +(-2.02823 + 2.84825i) q^{44} +(-2.03778 + 3.52954i) q^{45} +(9.76740 - 7.39241i) q^{46} +(-5.72446 - 9.91505i) q^{47} +(3.08151 + 6.74757i) q^{48} +(5.19629 + 4.69026i) q^{49} +(19.4196 - 22.4115i) q^{50} +(-0.218226 + 4.58112i) q^{51} +(18.9709 - 3.65635i) q^{52} +(5.79332 + 2.31929i) q^{53} +(-0.602174 - 2.48219i) q^{54} +(-2.65000 + 1.70305i) q^{55} +(-13.5497 - 10.3590i) q^{56} +(2.96562 - 6.49379i) q^{57} +(12.9086 - 1.23263i) q^{58} +(-2.04725 - 1.60998i) q^{59} +(0.877288 + 18.4166i) q^{60} +(0.913887 + 3.76709i) q^{61} +(-1.78622 - 12.4234i) q^{62} +(1.75977 + 1.97566i) q^{63} +(0.527030 + 0.338702i) q^{64} +(17.0908 + 3.29398i) q^{65} +(0.465430 - 1.91853i) q^{66} +(1.16950 + 0.111674i) q^{67} +(10.3740 + 17.9683i) q^{68} +(-2.47446 + 4.10817i) q^{69} +(-14.0956 - 23.6613i) q^{70} +(-2.50969 - 5.49545i) q^{71} +(-4.66558 - 4.44862i) q^{72} +(-3.26691 - 9.43911i) q^{73} +(-5.74833 + 2.96347i) q^{74} +(-3.79731 + 10.9716i) q^{75} +(-4.59617 - 31.9671i) q^{76} +(0.509233 + 1.98053i) q^{77} +(-9.17647 + 5.89736i) q^{78} +(-0.986912 + 0.395100i) q^{79} +(17.5363 + 24.6264i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-12.5153 + 5.01038i) q^{82} +(-8.76597 + 5.63355i) q^{83} +(11.5293 + 3.21480i) q^{84} +(2.66012 + 18.5015i) q^{85} +(2.34824 - 6.78481i) q^{86} +(-4.51252 + 2.32637i) q^{87} +(-1.62966 - 4.70860i) q^{88} +(1.62429 + 1.54876i) q^{89} +(-4.32437 - 9.46905i) q^{90} +(5.51527 - 9.86162i) q^{91} +(0.630587 + 21.6867i) q^{92} +(2.45697 + 4.25560i) q^{93} +(29.1103 + 2.77970i) q^{94} +(6.85943 - 28.2749i) q^{95} +(-5.94429 - 1.14567i) q^{96} +(-4.68024 - 3.00781i) q^{97} +(-17.4572 + 3.86233i) q^{98} +(0.109997 + 0.765049i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.48158 + 2.08058i −1.04763 + 1.47120i −0.173917 + 0.984760i \(0.555642\pi\)
−0.873717 + 0.486435i \(0.838297\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −1.47962 4.27509i −0.739812 2.13755i
\(5\) 0.193923 4.07094i 0.0867249 1.82058i −0.367865 0.929879i \(-0.619911\pi\)
0.454590 0.890701i \(-0.349786\pi\)
\(6\) 1.67264 + 1.93033i 0.682853 + 0.788054i
\(7\) −2.46944 0.949661i −0.933361 0.358938i
\(8\) 6.18541 + 1.81620i 2.18687 + 0.642124i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 8.18263 + 6.43489i 2.58757 + 2.03489i
\(11\) −0.448336 0.629599i −0.135178 0.189831i 0.741438 0.671021i \(-0.234144\pi\)
−0.876616 + 0.481190i \(0.840205\pi\)
\(12\) −4.50342 + 0.430025i −1.30003 + 0.124137i
\(13\) −0.607778 + 4.22719i −0.168567 + 1.17241i 0.713281 + 0.700879i \(0.247209\pi\)
−0.881848 + 0.471534i \(0.843701\pi\)
\(14\) 5.63452 3.73089i 1.50589 0.997122i
\(15\) −3.91047 1.14822i −1.00968 0.296468i
\(16\) −5.83087 + 4.58545i −1.45772 + 1.14636i
\(17\) −4.50344 + 0.867966i −1.09224 + 0.210513i −0.703402 0.710792i \(-0.748337\pi\)
−0.388841 + 0.921305i \(0.627125\pi\)
\(18\) 2.27026 1.17040i 0.535105 0.275866i
\(19\) 7.00991 + 1.35105i 1.60818 + 0.309952i 0.912713 0.408602i \(-0.133984\pi\)
0.695471 + 0.718554i \(0.255196\pi\)
\(20\) −17.6906 + 5.19443i −3.95574 + 1.16151i
\(21\) −1.50508 + 2.17594i −0.328436 + 0.474829i
\(22\) 1.97418 0.420896
\(23\) −4.57574 1.43618i −0.954108 0.299464i
\(24\) 3.22327 5.58287i 0.657948 1.13960i
\(25\) −11.5576 1.10362i −2.31152 0.220723i
\(26\) −7.89456 7.52745i −1.54825 1.47625i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −0.406041 + 11.9622i −0.0767346 + 2.26065i
\(29\) −3.32466 3.83686i −0.617373 0.712486i 0.357833 0.933786i \(-0.383516\pi\)
−0.975206 + 0.221299i \(0.928970\pi\)
\(30\) 8.18263 6.43489i 1.49394 1.17484i
\(31\) −3.55639 + 3.39101i −0.638747 + 0.609044i −0.938627 0.344933i \(-0.887902\pi\)
0.299881 + 0.953977i \(0.403053\pi\)
\(32\) −0.288046 6.04684i −0.0509199 1.06894i
\(33\) −0.717551 + 0.287264i −0.124910 + 0.0500063i
\(34\) 4.86631 10.6557i 0.834566 1.82744i
\(35\) −4.34489 + 9.86879i −0.734421 + 1.66813i
\(36\) −0.643819 + 4.47786i −0.107303 + 0.746310i
\(37\) 2.25055 + 1.16024i 0.369988 + 0.190742i 0.633186 0.774000i \(-0.281747\pi\)
−0.263198 + 0.964742i \(0.584777\pi\)
\(38\) −13.1967 + 12.5830i −2.14079 + 2.04124i
\(39\) 3.96475 + 1.58724i 0.634867 + 0.254163i
\(40\) 8.59314 24.8282i 1.35869 3.92569i
\(41\) 4.44012 + 2.85349i 0.693430 + 0.445641i 0.839304 0.543663i \(-0.182963\pi\)
−0.145873 + 0.989303i \(0.546599\pi\)
\(42\) −2.29733 6.35528i −0.354486 0.980641i
\(43\) −2.69708 + 0.791933i −0.411300 + 0.120769i −0.480836 0.876811i \(-0.659667\pi\)
0.0695351 + 0.997580i \(0.477848\pi\)
\(44\) −2.02823 + 2.84825i −0.305767 + 0.429389i
\(45\) −2.03778 + 3.52954i −0.303774 + 0.526152i
\(46\) 9.76740 7.39241i 1.44012 1.08995i
\(47\) −5.72446 9.91505i −0.834998 1.44626i −0.894032 0.448003i \(-0.852135\pi\)
0.0590340 0.998256i \(-0.481198\pi\)
\(48\) 3.08151 + 6.74757i 0.444778 + 0.973928i
\(49\) 5.19629 + 4.69026i 0.742327 + 0.670038i
\(50\) 19.4196 22.4115i 2.74635 3.16946i
\(51\) −0.218226 + 4.58112i −0.0305577 + 0.641485i
\(52\) 18.9709 3.65635i 2.63079 0.507044i
\(53\) 5.79332 + 2.31929i 0.795773 + 0.318580i 0.733684 0.679491i \(-0.237799\pi\)
0.0620896 + 0.998071i \(0.480224\pi\)
\(54\) −0.602174 2.48219i −0.0819455 0.337784i
\(55\) −2.65000 + 1.70305i −0.357326 + 0.229640i
\(56\) −13.5497 10.3590i −1.81066 1.38429i
\(57\) 2.96562 6.49379i 0.392805 0.860124i
\(58\) 12.9086 1.23263i 1.69499 0.161852i
\(59\) −2.04725 1.60998i −0.266530 0.209601i 0.475946 0.879475i \(-0.342106\pi\)
−0.742475 + 0.669873i \(0.766348\pi\)
\(60\) 0.877288 + 18.4166i 0.113257 + 2.37757i
\(61\) 0.913887 + 3.76709i 0.117011 + 0.482327i 0.999918 + 0.0127792i \(0.00406784\pi\)
−0.882907 + 0.469548i \(0.844417\pi\)
\(62\) −1.78622 12.4234i −0.226850 1.57778i
\(63\) 1.75977 + 1.97566i 0.221710 + 0.248909i
\(64\) 0.527030 + 0.338702i 0.0658788 + 0.0423377i
\(65\) 17.0908 + 3.29398i 2.11985 + 0.408568i
\(66\) 0.465430 1.91853i 0.0572905 0.236155i
\(67\) 1.16950 + 0.111674i 0.142877 + 0.0136431i 0.166249 0.986084i \(-0.446834\pi\)
−0.0233725 + 0.999727i \(0.507440\pi\)
\(68\) 10.3740 + 17.9683i 1.25804 + 2.17898i
\(69\) −2.47446 + 4.10817i −0.297891 + 0.494565i
\(70\) −14.0956 23.6613i −1.68474 2.82807i
\(71\) −2.50969 5.49545i −0.297845 0.652190i 0.700249 0.713898i \(-0.253072\pi\)
−0.998094 + 0.0617090i \(0.980345\pi\)
\(72\) −4.66558 4.44862i −0.549844 0.524275i
\(73\) −3.26691 9.43911i −0.382363 1.10476i −0.957928 0.287008i \(-0.907339\pi\)
0.575566 0.817756i \(-0.304782\pi\)
\(74\) −5.74833 + 2.96347i −0.668230 + 0.344497i
\(75\) −3.79731 + 10.9716i −0.438476 + 1.26689i
\(76\) −4.59617 31.9671i −0.527217 3.66688i
\(77\) 0.509233 + 1.98053i 0.0580325 + 0.225702i
\(78\) −9.17647 + 5.89736i −1.03903 + 0.667745i
\(79\) −0.986912 + 0.395100i −0.111036 + 0.0444522i −0.426515 0.904480i \(-0.640259\pi\)
0.315479 + 0.948933i \(0.397835\pi\)
\(80\) 17.5363 + 24.6264i 1.96062 + 2.75331i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −12.5153 + 5.01038i −1.38209 + 0.553304i
\(83\) −8.76597 + 5.63355i −0.962190 + 0.618362i −0.924603 0.380931i \(-0.875603\pi\)
−0.0375869 + 0.999293i \(0.511967\pi\)
\(84\) 11.5293 + 3.21480i 1.25795 + 0.350764i
\(85\) 2.66012 + 18.5015i 0.288530 + 2.00677i
\(86\) 2.34824 6.78481i 0.253218 0.731625i
\(87\) −4.51252 + 2.32637i −0.483793 + 0.249413i
\(88\) −1.62966 4.70860i −0.173723 0.501938i
\(89\) 1.62429 + 1.54876i 0.172175 + 0.164168i 0.771267 0.636512i \(-0.219623\pi\)
−0.599092 + 0.800680i \(0.704472\pi\)
\(90\) −4.32437 9.46905i −0.455829 0.998126i
\(91\) 5.51527 9.86162i 0.578158 1.03378i
\(92\) 0.630587 + 21.6867i 0.0657432 + 2.26100i
\(93\) 2.45697 + 4.25560i 0.254776 + 0.441286i
\(94\) 29.1103 + 2.77970i 3.00250 + 0.286704i
\(95\) 6.85943 28.2749i 0.703762 2.90095i
\(96\) −5.94429 1.14567i −0.606687 0.116929i
\(97\) −4.68024 3.00781i −0.475206 0.305397i 0.281025 0.959700i \(-0.409325\pi\)
−0.756232 + 0.654304i \(0.772962\pi\)
\(98\) −17.4572 + 3.86233i −1.76344 + 0.390154i
\(99\) 0.109997 + 0.765049i 0.0110552 + 0.0768904i
\(100\) 12.3828 + 51.0427i 1.23828 + 5.10427i
\(101\) −0.540197 11.3401i −0.0537516 1.12838i −0.851147 0.524928i \(-0.824092\pi\)
0.797395 0.603457i \(-0.206211\pi\)
\(102\) −9.20809 7.24132i −0.911737 0.716998i
\(103\) −17.7773 + 1.69753i −1.75165 + 0.167262i −0.921008 0.389544i \(-0.872633\pi\)
−0.830642 + 0.556806i \(0.812027\pi\)
\(104\) −11.4368 + 25.0431i −1.12147 + 2.45568i
\(105\) 8.56626 + 6.54907i 0.835981 + 0.639124i
\(106\) −13.4087 + 8.61727i −1.30237 + 0.836984i
\(107\) −2.72492 11.2323i −0.263428 1.08586i −0.937718 0.347398i \(-0.887065\pi\)
0.674290 0.738467i \(-0.264450\pi\)
\(108\) 4.19985 + 1.68137i 0.404131 + 0.161790i
\(109\) 6.29848 1.21393i 0.603285 0.116274i 0.121542 0.992586i \(-0.461216\pi\)
0.481743 + 0.876313i \(0.340004\pi\)
\(110\) 0.382838 8.03676i 0.0365022 0.766275i
\(111\) 1.65812 1.91357i 0.157382 0.181628i
\(112\) 18.7536 5.78615i 1.77205 0.546740i
\(113\) 2.23996 + 4.90482i 0.210717 + 0.461407i 0.985249 0.171129i \(-0.0547415\pi\)
−0.774531 + 0.632536i \(0.782014\pi\)
\(114\) 9.11709 + 15.7913i 0.853894 + 1.47899i
\(115\) −6.73393 + 18.3491i −0.627942 + 1.71106i
\(116\) −11.4837 + 19.8903i −1.06623 + 1.84677i
\(117\) 2.47723 3.47878i 0.229020 0.321613i
\(118\) 6.38286 1.87418i 0.587590 0.172532i
\(119\) 11.9452 + 2.13334i 1.09502 + 0.195563i
\(120\) −22.1025 14.2044i −2.01767 1.29668i
\(121\) 3.40236 9.83047i 0.309305 0.893679i
\(122\) −9.19175 3.67982i −0.832182 0.333155i
\(123\) 3.81986 3.64222i 0.344425 0.328408i
\(124\) 19.7590 + 10.1865i 1.77441 + 0.914773i
\(125\) −3.83398 + 26.6659i −0.342921 + 2.38507i
\(126\) −6.71775 + 0.734259i −0.598465 + 0.0654130i
\(127\) 0.277583 0.607822i 0.0246315 0.0539355i −0.896916 0.442200i \(-0.854198\pi\)
0.921548 + 0.388265i \(0.126925\pi\)
\(128\) 9.75457 3.90514i 0.862191 0.345169i
\(129\) 0.133750 + 2.80776i 0.0117760 + 0.247209i
\(130\) −32.1747 + 30.6785i −2.82191 + 2.69069i
\(131\) −7.38073 + 5.80427i −0.644858 + 0.507122i −0.886191 0.463321i \(-0.846658\pi\)
0.241333 + 0.970442i \(0.422415\pi\)
\(132\) 2.28979 + 2.64256i 0.199300 + 0.230005i
\(133\) −16.0275 9.99338i −1.38976 0.866536i
\(134\) −1.96505 + 2.26779i −0.169754 + 0.195907i
\(135\) 2.94962 + 2.81246i 0.253863 + 0.242058i
\(136\) −29.4320 2.81042i −2.52377 0.240991i
\(137\) 0.529274 0.916730i 0.0452190 0.0783215i −0.842530 0.538649i \(-0.818935\pi\)
0.887749 + 0.460328i \(0.152268\pi\)
\(138\) −4.88128 11.2349i −0.415522 0.956378i
\(139\) −4.00284 −0.339516 −0.169758 0.985486i \(-0.554299\pi\)
−0.169758 + 0.985486i \(0.554299\pi\)
\(140\) 48.6188 + 3.97272i 4.10904 + 0.335756i
\(141\) −10.9852 + 3.22553i −0.925117 + 0.271639i
\(142\) 15.1520 + 2.92032i 1.27153 + 0.245067i
\(143\) 2.93393 1.51254i 0.245347 0.126485i
\(144\) 7.28386 1.40385i 0.606988 0.116987i
\(145\) −16.2643 + 12.7904i −1.35068 + 1.06219i
\(146\) 24.4790 + 7.18769i 2.02590 + 0.594858i
\(147\) 5.78312 3.94404i 0.476984 0.325299i
\(148\) 1.63016 11.3380i 0.133998 0.931979i
\(149\) −2.09085 + 0.199652i −0.171289 + 0.0163561i −0.180348 0.983603i \(-0.557722\pi\)
0.00905915 + 0.999959i \(0.497116\pi\)
\(150\) −17.2014 24.1559i −1.40449 1.97232i
\(151\) −7.62525 5.99656i −0.620534 0.487993i 0.257700 0.966225i \(-0.417035\pi\)
−0.878234 + 0.478232i \(0.841278\pi\)
\(152\) 40.9054 + 21.0882i 3.31787 + 1.71048i
\(153\) 4.40054 + 1.29211i 0.355762 + 0.104461i
\(154\) −4.87512 1.87480i −0.392848 0.151076i
\(155\) 13.1149 + 15.1355i 1.05342 + 1.21571i
\(156\) 0.919286 19.2982i 0.0736018 1.54509i
\(157\) −2.26264 6.53748i −0.180579 0.521747i 0.817990 0.575232i \(-0.195088\pi\)
−0.998569 + 0.0534849i \(0.982967\pi\)
\(158\) 0.640148 2.63873i 0.0509274 0.209926i
\(159\) 3.61974 5.08322i 0.287064 0.403126i
\(160\) −24.6722 −1.95051
\(161\) 9.93565 + 7.89196i 0.783039 + 0.621973i
\(162\) −2.55419 −0.200676
\(163\) 2.17047 3.04800i 0.170004 0.238738i −0.720780 0.693164i \(-0.756216\pi\)
0.890784 + 0.454426i \(0.150156\pi\)
\(164\) 5.62924 23.2040i 0.439570 1.81193i
\(165\) 1.03029 + 2.97681i 0.0802076 + 0.231745i
\(166\) 1.26639 26.5849i 0.0982912 2.06339i
\(167\) −15.6972 18.1155i −1.21468 1.40182i −0.889979 0.456002i \(-0.849281\pi\)
−0.324704 0.945816i \(-0.605265\pi\)
\(168\) −13.2615 + 10.7256i −1.02315 + 0.827495i
\(169\) −5.02635 1.47587i −0.386642 0.113528i
\(170\) −42.4352 21.8769i −3.25463 1.67788i
\(171\) −5.61157 4.41299i −0.429128 0.337470i
\(172\) 7.37625 + 10.3585i 0.562434 + 0.789828i
\(173\) 21.6826 2.07043i 1.64849 0.157412i 0.770946 0.636901i \(-0.219784\pi\)
0.877548 + 0.479489i \(0.159178\pi\)
\(174\) 1.84545 12.8354i 0.139903 0.973047i
\(175\) 27.4927 + 13.7011i 2.07826 + 1.03571i
\(176\) 5.50118 + 1.61529i 0.414667 + 0.121757i
\(177\) −2.04725 + 1.60998i −0.153881 + 0.121013i
\(178\) −5.62884 + 1.08487i −0.421900 + 0.0813145i
\(179\) 10.5834 5.45611i 0.791039 0.407809i −0.0148393 0.999890i \(-0.504724\pi\)
0.805879 + 0.592081i \(0.201693\pi\)
\(180\) 18.1042 + 3.48931i 1.34941 + 0.260078i
\(181\) 0.687513 0.201872i 0.0511024 0.0150050i −0.256081 0.966655i \(-0.582432\pi\)
0.307184 + 0.951650i \(0.400613\pi\)
\(182\) 12.3466 + 26.0858i 0.915194 + 1.93360i
\(183\) 3.87636 0.286549
\(184\) −25.6945 17.1938i −1.89422 1.26754i
\(185\) 5.15969 8.93685i 0.379348 0.657050i
\(186\) −12.4943 1.19307i −0.916130 0.0874798i
\(187\) 2.56552 + 2.44622i 0.187609 + 0.178885i
\(188\) −33.9177 + 39.1432i −2.47371 + 2.85481i
\(189\) 2.33485 1.24438i 0.169835 0.0905156i
\(190\) 48.6656 + 56.1631i 3.53058 + 4.07450i
\(191\) 1.98678 1.56242i 0.143759 0.113053i −0.543690 0.839286i \(-0.682973\pi\)
0.687448 + 0.726233i \(0.258731\pi\)
\(192\) 0.453407 0.432322i 0.0327218 0.0312002i
\(193\) −0.556716 11.6869i −0.0400733 0.841243i −0.926024 0.377464i \(-0.876796\pi\)
0.885951 0.463779i \(-0.153507\pi\)
\(194\) 13.1921 5.28134i 0.947140 0.379178i
\(195\) 7.23043 15.8324i 0.517782 1.13378i
\(196\) 12.3628 29.1545i 0.883055 2.08246i
\(197\) −1.44161 + 10.0266i −0.102710 + 0.714367i 0.871773 + 0.489909i \(0.162970\pi\)
−0.974484 + 0.224458i \(0.927939\pi\)
\(198\) −1.75472 0.904621i −0.124703 0.0642886i
\(199\) 4.34403 4.14203i 0.307940 0.293621i −0.520312 0.853977i \(-0.674184\pi\)
0.828252 + 0.560356i \(0.189336\pi\)
\(200\) −69.4841 27.8172i −4.91327 1.96698i
\(201\) 0.384245 1.11020i 0.0271026 0.0783078i
\(202\) 24.3944 + 15.6774i 1.71639 + 1.10305i
\(203\) 4.56633 + 12.6322i 0.320494 + 0.886606i
\(204\) 19.9076 5.84540i 1.39381 0.409260i
\(205\) 12.4774 17.5221i 0.871462 1.22380i
\(206\) 22.8066 39.5022i 1.58901 2.75225i
\(207\) 3.40899 + 3.37325i 0.236941 + 0.234457i
\(208\) −15.8397 27.4351i −1.09828 1.90229i
\(209\) −2.29217 5.01916i −0.158553 0.347182i
\(210\) −26.3175 + 8.11987i −1.81608 + 0.560324i
\(211\) 5.34726 6.17107i 0.368121 0.424834i −0.541223 0.840879i \(-0.682039\pi\)
0.909344 + 0.416045i \(0.136584\pi\)
\(212\) 1.34327 28.1987i 0.0922560 1.93669i
\(213\) −5.93222 + 1.14334i −0.406469 + 0.0783405i
\(214\) 27.4069 + 10.9721i 1.87349 + 0.750034i
\(215\) 2.70089 + 11.1332i 0.184199 + 0.759279i
\(216\) −5.42318 + 3.48526i −0.369000 + 0.237142i
\(217\) 12.0026 4.99654i 0.814791 0.339188i
\(218\) −6.80600 + 14.9031i −0.460960 + 1.00936i
\(219\) −9.94324 + 0.949464i −0.671902 + 0.0641588i
\(220\) 11.2017 + 8.80914i 0.755220 + 0.593912i
\(221\) −0.931968 19.5644i −0.0626910 1.31605i
\(222\) 1.52472 + 6.28496i 0.102332 + 0.421819i
\(223\) 0.117618 + 0.818050i 0.00787627 + 0.0547807i 0.993381 0.114870i \(-0.0366451\pi\)
−0.985504 + 0.169651i \(0.945736\pi\)
\(224\) −5.03113 + 15.2059i −0.336156 + 1.01598i
\(225\) 9.76709 + 6.27693i 0.651139 + 0.418462i
\(226\) −13.5236 2.60645i −0.899574 0.173379i
\(227\) −5.36851 + 22.1293i −0.356320 + 1.46877i 0.458310 + 0.888792i \(0.348455\pi\)
−0.814631 + 0.579980i \(0.803060\pi\)
\(228\) −32.1496 3.06991i −2.12916 0.203310i
\(229\) −14.2907 24.7522i −0.944354 1.63567i −0.757040 0.653369i \(-0.773355\pi\)
−0.187314 0.982300i \(-0.559978\pi\)
\(230\) −28.1999 41.1961i −1.85945 2.71639i
\(231\) 2.04475 0.0279521i 0.134535 0.00183912i
\(232\) −13.5959 29.7708i −0.892612 1.95455i
\(233\) 12.7996 + 12.2044i 0.838529 + 0.799536i 0.981754 0.190154i \(-0.0608988\pi\)
−0.143225 + 0.989690i \(0.545747\pi\)
\(234\) 3.56769 + 10.3082i 0.233227 + 0.673865i
\(235\) −41.4737 + 21.3812i −2.70545 + 1.39475i
\(236\) −3.85364 + 11.1344i −0.250851 + 0.724786i
\(237\) 0.151289 + 1.05224i 0.00982731 + 0.0683504i
\(238\) −22.1364 + 21.6924i −1.43489 + 1.40611i
\(239\) −9.50442 + 6.10812i −0.614790 + 0.395101i −0.810650 0.585530i \(-0.800886\pi\)
0.195861 + 0.980632i \(0.437250\pi\)
\(240\) 28.0665 11.2361i 1.81169 0.725290i
\(241\) 3.42272 + 4.80654i 0.220477 + 0.309616i 0.909969 0.414677i \(-0.136105\pi\)
−0.689492 + 0.724293i \(0.742166\pi\)
\(242\) 15.4123 + 21.6435i 0.990738 + 1.39130i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 14.7525 9.48084i 0.944430 0.606948i
\(245\) 20.1015 20.2442i 1.28424 1.29336i
\(246\) 1.91854 + 13.3438i 0.122322 + 0.850768i
\(247\) −9.97162 + 28.8111i −0.634479 + 1.83321i
\(248\) −28.1565 + 14.5157i −1.78794 + 0.921747i
\(249\) 3.40809 + 9.84703i 0.215979 + 0.624030i
\(250\) −49.8003 47.4845i −3.14965 3.00318i
\(251\) −7.65014 16.7515i −0.482873 1.05734i −0.981664 0.190622i \(-0.938950\pi\)
0.498791 0.866722i \(-0.333778\pi\)
\(252\) 5.84232 10.4464i 0.368032 0.658062i
\(253\) 1.14725 + 3.52477i 0.0721271 + 0.221600i
\(254\) 0.853364 + 1.47807i 0.0535448 + 0.0927424i
\(255\) 18.6072 + 1.77677i 1.16523 + 0.111266i
\(256\) −6.62258 + 27.2986i −0.413911 + 1.70616i
\(257\) −18.1916 3.50615i −1.13476 0.218707i −0.412921 0.910767i \(-0.635492\pi\)
−0.721841 + 0.692059i \(0.756704\pi\)
\(258\) −6.03993 3.88163i −0.376030 0.241660i
\(259\) −4.45576 5.00240i −0.276868 0.310834i
\(260\) −11.2059 77.9386i −0.694959 4.83355i
\(261\) 1.19692 + 4.93378i 0.0740876 + 0.305393i
\(262\) −1.14115 23.9557i −0.0705006 1.47999i
\(263\) −9.66526 7.60085i −0.595986 0.468688i 0.274024 0.961723i \(-0.411645\pi\)
−0.870010 + 0.493035i \(0.835888\pi\)
\(264\) −4.96008 + 0.473630i −0.305272 + 0.0291499i
\(265\) 10.5652 23.1345i 0.649013 1.42114i
\(266\) 44.5381 18.5407i 2.73081 1.13680i
\(267\) 1.88804 1.21337i 0.115546 0.0742572i
\(268\) −1.25300 5.16495i −0.0765394 0.315500i
\(269\) −26.4279 10.5801i −1.61134 0.645082i −0.621006 0.783806i \(-0.713276\pi\)
−0.990331 + 0.138724i \(0.955700\pi\)
\(270\) −10.2216 + 1.97006i −0.622069 + 0.119894i
\(271\) −0.440777 + 9.25305i −0.0267753 + 0.562083i 0.945128 + 0.326701i \(0.105937\pi\)
−0.971903 + 0.235382i \(0.924366\pi\)
\(272\) 22.2789 25.7113i 1.35086 1.55897i
\(273\) −8.28337 7.68477i −0.501332 0.465103i
\(274\) 1.12317 + 2.45941i 0.0678534 + 0.148578i
\(275\) 4.48684 + 7.77144i 0.270567 + 0.468636i
\(276\) 21.2241 + 4.50003i 1.27754 + 0.270870i
\(277\) 8.11187 14.0502i 0.487395 0.844193i −0.512500 0.858687i \(-0.671281\pi\)
0.999895 + 0.0144945i \(0.00461390\pi\)
\(278\) 5.93051 8.32824i 0.355689 0.499495i
\(279\) 4.71490 1.38442i 0.282274 0.0828830i
\(280\) −44.7987 + 53.1514i −2.67723 + 3.17640i
\(281\) 6.78410 + 4.35988i 0.404706 + 0.260088i 0.727120 0.686510i \(-0.240858\pi\)
−0.322415 + 0.946598i \(0.604495\pi\)
\(282\) 9.56437 27.6344i 0.569550 1.64561i
\(283\) 25.9654 + 10.3950i 1.54349 + 0.617918i 0.978327 0.207064i \(-0.0663909\pi\)
0.565158 + 0.824983i \(0.308815\pi\)
\(284\) −19.7802 + 18.8603i −1.17374 + 1.11916i
\(285\) −25.8607 13.3321i −1.53186 0.789728i
\(286\) −1.19986 + 8.34523i −0.0709494 + 0.493464i
\(287\) −8.25477 11.2631i −0.487264 0.664842i
\(288\) −2.51479 + 5.50663i −0.148186 + 0.324481i
\(289\) 3.74531 1.49940i 0.220312 0.0881998i
\(290\) −2.51467 52.7893i −0.147666 3.09990i
\(291\) −4.02643 + 3.83919i −0.236034 + 0.225058i
\(292\) −35.5193 + 27.9327i −2.07861 + 1.63464i
\(293\) 15.6610 + 18.0737i 0.914924 + 1.05588i 0.998237 + 0.0593549i \(0.0189044\pi\)
−0.0833132 + 0.996523i \(0.526550\pi\)
\(294\) −0.362233 + 17.8757i −0.0211259 + 1.04253i
\(295\) −6.95114 + 8.02204i −0.404711 + 0.467061i
\(296\) 11.8133 + 11.2640i 0.686636 + 0.654707i
\(297\) 0.769417 + 0.0734704i 0.0446461 + 0.00426318i
\(298\) 2.68236 4.64598i 0.155385 0.269135i
\(299\) 8.85203 18.4697i 0.511926 1.06813i
\(300\) 52.5233 3.03243
\(301\) 7.41234 + 0.605674i 0.427240 + 0.0349105i
\(302\) 23.7737 6.98060i 1.36803 0.401688i
\(303\) −11.1478 2.14857i −0.640426 0.123432i
\(304\) −47.0691 + 24.2658i −2.69960 + 1.39174i
\(305\) 15.5128 2.98985i 0.888262 0.171199i
\(306\) −9.20809 + 7.24132i −0.526392 + 0.413959i
\(307\) 6.82648 + 2.00444i 0.389608 + 0.114399i 0.470669 0.882310i \(-0.344013\pi\)
−0.0810610 + 0.996709i \(0.525831\pi\)
\(308\) 7.71346 5.10745i 0.439515 0.291024i
\(309\) −2.54148 + 17.6764i −0.144580 + 1.00558i
\(310\) −50.9214 + 4.86240i −2.89214 + 0.276166i
\(311\) 4.69526 + 6.59357i 0.266244 + 0.373887i 0.925956 0.377631i \(-0.123261\pi\)
−0.659712 + 0.751518i \(0.729322\pi\)
\(312\) 21.6408 + 17.0185i 1.22517 + 0.963485i
\(313\) 26.0080 + 13.4080i 1.47006 + 0.757867i 0.992673 0.120828i \(-0.0385549\pi\)
0.477384 + 0.878695i \(0.341585\pi\)
\(314\) 16.9541 + 4.97816i 0.956773 + 0.280934i
\(315\) 8.38404 6.78079i 0.472387 0.382054i
\(316\) 3.14935 + 3.63454i 0.177165 + 0.204459i
\(317\) −0.472887 + 9.92712i −0.0265600 + 0.557562i 0.945895 + 0.324472i \(0.105187\pi\)
−0.972455 + 0.233090i \(0.925116\pi\)
\(318\) 5.21314 + 15.0624i 0.292338 + 0.844656i
\(319\) −0.925121 + 3.81340i −0.0517968 + 0.213509i
\(320\) 1.48104 2.07983i 0.0827926 0.116266i
\(321\) −11.5581 −0.645109
\(322\) −31.1403 + 8.97941i −1.73538 + 0.500403i
\(323\) −32.7413 −1.82178
\(324\) 2.62412 3.68506i 0.145785 0.204726i
\(325\) 11.6897 48.1854i 0.648425 2.67285i
\(326\) 3.12590 + 9.03169i 0.173128 + 0.500219i
\(327\) 0.305209 6.40713i 0.0168781 0.354315i
\(328\) 22.2815 + 25.7142i 1.23029 + 1.41983i
\(329\) 4.72028 + 29.9209i 0.260238 + 1.64959i
\(330\) −7.71996 2.26679i −0.424970 0.124782i
\(331\) −2.37926 1.22660i −0.130776 0.0674198i 0.391597 0.920137i \(-0.371923\pi\)
−0.522373 + 0.852717i \(0.674953\pi\)
\(332\) 37.0543 + 29.1398i 2.03362 + 1.59926i
\(333\) −1.46871 2.06252i −0.0804851 0.113025i
\(334\) 60.9474 5.81977i 3.33489 0.318443i
\(335\) 0.681409 4.73930i 0.0372294 0.258936i
\(336\) −1.20171 19.5891i −0.0655589 1.06867i
\(337\) 13.3824 + 3.92944i 0.728988 + 0.214050i 0.625106 0.780540i \(-0.285056\pi\)
0.103881 + 0.994590i \(0.466874\pi\)
\(338\) 10.5176 8.27113i 0.572082 0.449890i
\(339\) 5.29465 1.02046i 0.287566 0.0554238i
\(340\) 75.1598 38.7476i 4.07611 2.10138i
\(341\) 3.72944 + 0.718790i 0.201960 + 0.0389247i
\(342\) 17.4956 5.13716i 0.946052 0.277786i
\(343\) −8.37778 16.5170i −0.452357 0.891837i
\(344\) −18.1208 −0.977010
\(345\) 16.2442 + 10.8701i 0.874561 + 0.585225i
\(346\) −27.8167 + 48.1799i −1.49543 + 2.59017i
\(347\) −19.1708 1.83059i −1.02914 0.0982714i −0.433201 0.901298i \(-0.642616\pi\)
−0.595944 + 0.803026i \(0.703222\pi\)
\(348\) 16.6223 + 15.8493i 0.891047 + 0.849612i
\(349\) 0.315269 0.363840i 0.0168760 0.0194759i −0.747249 0.664544i \(-0.768626\pi\)
0.764125 + 0.645068i \(0.223171\pi\)
\(350\) −69.2390 + 36.9017i −3.70098 + 1.97248i
\(351\) −2.79669 3.22755i −0.149276 0.172274i
\(352\) −3.67794 + 2.89237i −0.196035 + 0.154164i
\(353\) −6.33445 + 6.03988i −0.337149 + 0.321471i −0.839673 0.543093i \(-0.817253\pi\)
0.502524 + 0.864563i \(0.332405\pi\)
\(354\) −0.316531 6.64479i −0.0168234 0.353167i
\(355\) −22.8583 + 9.15109i −1.21319 + 0.485690i
\(356\) 4.21775 9.23559i 0.223540 0.489485i
\(357\) 4.88941 11.1056i 0.258775 0.587769i
\(358\) −4.32820 + 30.1033i −0.228752 + 1.59101i
\(359\) −12.9403 6.67119i −0.682963 0.352092i 0.0815782 0.996667i \(-0.474004\pi\)
−0.764541 + 0.644575i \(0.777034\pi\)
\(360\) −19.0148 + 18.1306i −1.00217 + 0.955568i
\(361\) 29.6745 + 11.8799i 1.56182 + 0.625257i
\(362\) −0.598592 + 1.72952i −0.0314613 + 0.0909015i
\(363\) −8.75122 5.62407i −0.459320 0.295187i
\(364\) −50.3199 8.98681i −2.63748 0.471037i
\(365\) −39.0596 + 11.4689i −2.04447 + 0.600311i
\(366\) −5.74313 + 8.06510i −0.300198 + 0.421569i
\(367\) 2.27270 3.93643i 0.118634 0.205480i −0.800593 0.599209i \(-0.795482\pi\)
0.919227 + 0.393729i \(0.128815\pi\)
\(368\) 33.2661 12.6077i 1.73411 0.657220i
\(369\) −2.63899 4.57087i −0.137380 0.237950i
\(370\) 10.9494 + 23.9758i 0.569232 + 1.24644i
\(371\) −12.1037 11.2291i −0.628394 0.582983i
\(372\) 14.5577 16.8005i 0.754782 0.871065i
\(373\) 1.15111 24.1648i 0.0596022 1.25120i −0.748889 0.662696i \(-0.769412\pi\)
0.808491 0.588509i \(-0.200285\pi\)
\(374\) −8.89059 + 1.71352i −0.459721 + 0.0886040i
\(375\) 25.0103 + 10.0126i 1.29153 + 0.517050i
\(376\) −17.4004 71.7255i −0.897358 3.69896i
\(377\) 18.2398 11.7220i 0.939397 0.603714i
\(378\) −0.870209 + 6.70150i −0.0447587 + 0.344688i
\(379\) 15.8999 34.8159i 0.816723 1.78837i 0.241447 0.970414i \(-0.422378\pi\)
0.575276 0.817960i \(-0.304895\pi\)
\(380\) −131.027 + 12.5116i −6.72156 + 0.641831i
\(381\) −0.525246 0.413058i −0.0269092 0.0211616i
\(382\) 0.307181 + 6.44852i 0.0157167 + 0.329935i
\(383\) 8.39513 + 34.6052i 0.428971 + 1.76824i 0.617904 + 0.786253i \(0.287982\pi\)
−0.188933 + 0.981990i \(0.560503\pi\)
\(384\) −1.49533 10.4003i −0.0763085 0.530737i
\(385\) 8.16135 1.68899i 0.415941 0.0860789i
\(386\) 25.1404 + 16.1568i 1.27961 + 0.822358i
\(387\) 2.76014 + 0.531974i 0.140306 + 0.0270417i
\(388\) −5.93366 + 24.4589i −0.301236 + 1.24171i
\(389\) −6.64290 0.634321i −0.336809 0.0321613i −0.0747183 0.997205i \(-0.523806\pi\)
−0.262090 + 0.965043i \(0.584412\pi\)
\(390\) 22.2283 + 38.5005i 1.12557 + 1.94955i
\(391\) 21.8531 + 2.49614i 1.10516 + 0.126235i
\(392\) 23.6227 + 38.4487i 1.19313 + 1.94195i
\(393\) 3.90059 + 8.54109i 0.196759 + 0.430841i
\(394\) −18.7254 17.8546i −0.943371 0.899502i
\(395\) 1.41704 + 4.09428i 0.0712992 + 0.206006i
\(396\) 3.10790 1.60224i 0.156178 0.0805154i
\(397\) −4.37174 + 12.6313i −0.219411 + 0.633948i 0.780549 + 0.625094i \(0.214939\pi\)
−0.999961 + 0.00885359i \(0.997182\pi\)
\(398\) 2.18182 + 15.1749i 0.109365 + 0.760647i
\(399\) −13.4903 + 13.2197i −0.675360 + 0.661813i
\(400\) 72.4514 46.5617i 3.62257 2.32808i
\(401\) 31.5213 12.6192i 1.57410 0.630175i 0.589938 0.807448i \(-0.299152\pi\)
0.984162 + 0.177274i \(0.0567278\pi\)
\(402\) 1.74058 + 2.44431i 0.0868125 + 0.121911i
\(403\) −12.1730 17.0945i −0.606379 0.851539i
\(404\) −47.6808 + 19.0885i −2.37221 + 0.949690i
\(405\) 3.42858 2.20341i 0.170367 0.109488i
\(406\) −33.0477 9.21493i −1.64013 0.457329i
\(407\) −0.278516 1.93712i −0.0138055 0.0960194i
\(408\) −9.67005 + 27.9398i −0.478739 + 1.38323i
\(409\) −30.9055 + 15.9329i −1.52818 + 0.787830i −0.998188 0.0601736i \(-0.980835\pi\)
−0.529990 + 0.848004i \(0.677804\pi\)
\(410\) 17.9699 + 51.9207i 0.887472 + 2.56418i
\(411\) −0.766108 0.730482i −0.0377893 0.0360320i
\(412\) 33.5608 + 73.4880i 1.65342 + 3.62049i
\(413\) 3.52664 + 5.91995i 0.173535 + 0.291301i
\(414\) −12.0690 + 2.09495i −0.593159 + 0.102961i
\(415\) 21.2339 + 36.7782i 1.04233 + 1.80537i
\(416\) 25.7362 + 2.45751i 1.26182 + 0.120489i
\(417\) −0.943705 + 3.89000i −0.0462134 + 0.190494i
\(418\) 13.8388 + 2.66721i 0.676879 + 0.130458i
\(419\) 17.9460 + 11.5332i 0.876722 + 0.563435i 0.899802 0.436299i \(-0.143711\pi\)
−0.0230801 + 0.999734i \(0.507347\pi\)
\(420\) 15.3231 46.3117i 0.747689 2.25978i
\(421\) 0.0249572 + 0.173581i 0.00121634 + 0.00845984i 0.990421 0.138084i \(-0.0440943\pi\)
−0.989204 + 0.146543i \(0.953185\pi\)
\(422\) 4.91705 + 20.2684i 0.239358 + 0.986648i
\(423\) 0.544761 + 11.4359i 0.0264872 + 0.556035i
\(424\) 31.6218 + 24.8676i 1.53569 + 1.20768i
\(425\) 53.0068 5.06153i 2.57121 0.245520i
\(426\) 6.41023 14.0364i 0.310576 0.680068i
\(427\) 1.32067 10.1705i 0.0639117 0.492185i
\(428\) −43.9872 + 28.2688i −2.12620 + 1.36643i
\(429\) −0.778208 3.20782i −0.0375723 0.154875i
\(430\) −27.1652 10.8753i −1.31002 0.524453i
\(431\) −25.3109 + 4.87827i −1.21918 + 0.234978i −0.757956 0.652305i \(-0.773802\pi\)
−0.461225 + 0.887283i \(0.652590\pi\)
\(432\) 0.352958 7.40951i 0.0169817 0.356490i
\(433\) −5.69194 + 6.56885i −0.273537 + 0.315679i −0.875852 0.482580i \(-0.839700\pi\)
0.602315 + 0.798259i \(0.294245\pi\)
\(434\) −7.38707 + 32.3752i −0.354591 + 1.55406i
\(435\) 8.59541 + 18.8213i 0.412119 + 0.902414i
\(436\) −14.5091 25.1304i −0.694858 1.20353i
\(437\) −30.1352 16.2495i −1.44156 0.777320i
\(438\) 12.7562 22.0944i 0.609517 1.05571i
\(439\) 12.7526 17.9085i 0.608647 0.854725i −0.389143 0.921177i \(-0.627229\pi\)
0.997790 + 0.0664527i \(0.0211681\pi\)
\(440\) −19.4845 + 5.72115i −0.928885 + 0.272745i
\(441\) −2.46944 6.54995i −0.117593 0.311902i
\(442\) 42.0862 + 27.0472i 2.00184 + 1.28650i
\(443\) 5.90847 17.0714i 0.280720 0.811087i −0.713198 0.700963i \(-0.752754\pi\)
0.993918 0.110124i \(-0.0351250\pi\)
\(444\) −10.6341 4.25725i −0.504672 0.202040i
\(445\) 6.61990 6.31206i 0.313813 0.299220i
\(446\) −1.87628 0.967291i −0.0888446 0.0458026i
\(447\) −0.298912 + 2.07898i −0.0141381 + 0.0983323i
\(448\) −0.979819 1.33690i −0.0462921 0.0631628i
\(449\) 10.7633 23.5684i 0.507952 1.11226i −0.465851 0.884863i \(-0.654252\pi\)
0.973802 0.227396i \(-0.0730211\pi\)
\(450\) −27.5304 + 11.0215i −1.29779 + 0.519559i
\(451\) −0.194108 4.07482i −0.00914017 0.191876i
\(452\) 17.6543 16.8333i 0.830387 0.791773i
\(453\) −7.62525 + 5.99656i −0.358265 + 0.281743i
\(454\) −38.0880 43.9559i −1.78756 2.06295i
\(455\) −39.0765 24.3647i −1.83194 1.14224i
\(456\) 30.1376 34.7806i 1.41132 1.62875i
\(457\) −19.6757 18.7607i −0.920390 0.877590i 0.0724103 0.997375i \(-0.476931\pi\)
−0.992800 + 0.119785i \(0.961779\pi\)
\(458\) 72.6717 + 6.93931i 3.39573 + 0.324253i
\(459\) 2.29316 3.97187i 0.107035 0.185391i
\(460\) 88.4076 + 1.63847i 4.12203 + 0.0763940i
\(461\) −10.0506 −0.468103 −0.234052 0.972224i \(-0.575198\pi\)
−0.234052 + 0.972224i \(0.575198\pi\)
\(462\) −2.97131 + 4.29570i −0.138238 + 0.199854i
\(463\) −14.5935 + 4.28503i −0.678217 + 0.199142i −0.602659 0.797999i \(-0.705892\pi\)
−0.0755581 + 0.997141i \(0.524074\pi\)
\(464\) 36.9793 + 7.12718i 1.71672 + 0.330871i
\(465\) 17.8008 9.17694i 0.825491 0.425570i
\(466\) −44.3559 + 8.54889i −2.05475 + 0.396020i
\(467\) −6.29843 + 4.95314i −0.291457 + 0.229204i −0.753171 0.657825i \(-0.771477\pi\)
0.461715 + 0.887028i \(0.347234\pi\)
\(468\) −18.5375 5.44309i −0.856895 0.251607i
\(469\) −2.78196 1.38640i −0.128459 0.0640179i
\(470\) 16.9612 117.967i 0.782360 5.44143i
\(471\) −6.88663 + 0.657594i −0.317319 + 0.0303003i
\(472\) −9.73907 13.6766i −0.448277 0.629517i
\(473\) 1.70780 + 1.34303i 0.0785245 + 0.0617524i
\(474\) −2.41342 1.24421i −0.110852 0.0571483i
\(475\) −79.5267 23.3511i −3.64893 1.07142i
\(476\) −8.55424 54.2236i −0.392083 2.48533i
\(477\) −4.08654 4.71612i −0.187110 0.215936i
\(478\) 1.37308 28.8244i 0.0628030 1.31840i
\(479\) −2.64433 7.64029i −0.120823 0.349094i 0.868330 0.495987i \(-0.165194\pi\)
−0.989152 + 0.146893i \(0.953073\pi\)
\(480\) −5.81668 + 23.9767i −0.265494 + 1.09438i
\(481\) −6.27238 + 8.80833i −0.285996 + 0.401625i
\(482\) −15.0714 −0.686485
\(483\) 10.0119 7.79498i 0.455558 0.354684i
\(484\) −47.0604 −2.13911
\(485\) −13.1522 + 18.4697i −0.597211 + 0.838666i
\(486\) −0.602174 + 2.48219i −0.0273152 + 0.112595i
\(487\) −2.98482 8.62407i −0.135255 0.390794i 0.856952 0.515397i \(-0.172356\pi\)
−0.992207 + 0.124603i \(0.960234\pi\)
\(488\) −1.18903 + 24.9608i −0.0538249 + 1.12992i
\(489\) −2.45037 2.82788i −0.110810 0.127881i
\(490\) 12.3380 + 71.8162i 0.557373 + 3.24433i
\(491\) 2.54091 + 0.746080i 0.114670 + 0.0336701i 0.338564 0.940943i \(-0.390059\pi\)
−0.223894 + 0.974613i \(0.571877\pi\)
\(492\) −21.2228 10.9411i −0.956798 0.493264i
\(493\) 18.3026 + 14.3933i 0.824309 + 0.648244i
\(494\) −45.1702 63.4327i −2.03230 2.85397i
\(495\) 3.13580 0.299433i 0.140944 0.0134585i
\(496\) 5.18755 36.0802i 0.232928 1.62005i
\(497\) 0.978716 + 15.9540i 0.0439014 + 0.715636i
\(498\) −25.5369 7.49832i −1.14434 0.336008i
\(499\) 7.43829 5.84954i 0.332984 0.261861i −0.437642 0.899149i \(-0.644186\pi\)
0.770626 + 0.637288i \(0.219944\pi\)
\(500\) 119.672 23.0649i 5.35190 1.03149i
\(501\) −21.3056 + 10.9838i −0.951863 + 0.490720i
\(502\) 46.1872 + 8.90184i 2.06143 + 0.397309i
\(503\) 14.1221 4.14662i 0.629673 0.184889i 0.0487024 0.998813i \(-0.484491\pi\)
0.580970 + 0.813925i \(0.302673\pi\)
\(504\) 7.29670 + 15.4163i 0.325021 + 0.686698i
\(505\) −46.2697 −2.05898
\(506\) −9.03333 2.83527i −0.401580 0.126043i
\(507\) −2.61927 + 4.53672i −0.116326 + 0.201483i
\(508\) −3.00921 0.287345i −0.133512 0.0127489i
\(509\) 3.71767 + 3.54479i 0.164783 + 0.157120i 0.767984 0.640469i \(-0.221260\pi\)
−0.603201 + 0.797589i \(0.706108\pi\)
\(510\) −31.2647 + 36.0813i −1.38442 + 1.59771i
\(511\) −0.896511 + 26.4118i −0.0396593 + 1.16839i
\(512\) −33.2237 38.3422i −1.46829 1.69450i
\(513\) −5.61157 + 4.41299i −0.247757 + 0.194838i
\(514\) 34.2471 32.6546i 1.51058 1.44033i
\(515\) 3.46311 + 72.6996i 0.152603 + 3.20353i
\(516\) 11.8055 4.72622i 0.519709 0.208060i
\(517\) −3.67603 + 8.04939i −0.161672 + 0.354012i
\(518\) 17.0095 1.85916i 0.747353 0.0816867i
\(519\) 3.09979 21.5595i 0.136065 0.946356i
\(520\) 99.7310 + 51.4149i 4.37350 + 2.25469i
\(521\) 0.337072 0.321397i 0.0147674 0.0140807i −0.682659 0.730737i \(-0.739177\pi\)
0.697427 + 0.716656i \(0.254328\pi\)
\(522\) −12.0385 4.81948i −0.526910 0.210943i
\(523\) 2.40838 6.95855i 0.105311 0.304276i −0.880018 0.474940i \(-0.842470\pi\)
0.985329 + 0.170663i \(0.0545911\pi\)
\(524\) 35.7345 + 22.9652i 1.56107 + 1.00324i
\(525\) 19.7966 23.4876i 0.863992 1.02508i
\(526\) 30.1340 8.84815i 1.31391 0.385798i
\(527\) 13.0727 18.3580i 0.569456 0.799689i
\(528\) 2.86671 4.96529i 0.124758 0.216087i
\(529\) 18.8748 + 13.1431i 0.820643 + 0.571441i
\(530\) 32.4802 + 56.2573i 1.41085 + 2.44366i
\(531\) 1.08194 + 2.36911i 0.0469521 + 0.102811i
\(532\) −19.0079 + 83.3057i −0.824097 + 3.61176i
\(533\) −14.7609 + 17.0350i −0.639364 + 0.737866i
\(534\) −0.272760 + 5.72594i −0.0118035 + 0.247786i
\(535\) −46.2543 + 8.91479i −1.99975 + 0.385420i
\(536\) 7.03101 + 2.81479i 0.303693 + 0.121581i
\(537\) −2.80719 11.5714i −0.121139 0.499342i
\(538\) 61.1678 39.3102i 2.63713 1.69478i
\(539\) 0.623305 5.37439i 0.0268477 0.231491i
\(540\) 7.65919 16.7713i 0.329599 0.721721i
\(541\) −16.1970 + 1.54663i −0.696364 + 0.0664947i −0.437234 0.899348i \(-0.644042\pi\)
−0.259130 + 0.965842i \(0.583436\pi\)
\(542\) −18.5987 14.6262i −0.798883 0.628248i
\(543\) −0.0340942 0.715726i −0.00146312 0.0307148i
\(544\) 6.54565 + 26.9815i 0.280642 + 1.15682i
\(545\) −3.72043 25.8762i −0.159366 1.10841i
\(546\) 28.2613 5.84866i 1.20947 0.250299i
\(547\) −7.26420 4.66842i −0.310595 0.199607i 0.376052 0.926599i \(-0.377282\pi\)
−0.686646 + 0.726992i \(0.740918\pi\)
\(548\) −4.70224 0.906282i −0.200870 0.0387144i
\(549\) 0.913887 3.76709i 0.0390037 0.160776i
\(550\) −22.8168 2.17874i −0.972910 0.0929016i
\(551\) −18.1218 31.3878i −0.772013 1.33717i
\(552\) −22.7668 + 20.9166i −0.969021 + 0.890269i
\(553\) 2.81233 0.0384451i 0.119593 0.00163485i
\(554\) 17.2142 + 37.6938i 0.731361 + 1.60146i
\(555\) −7.46849 7.12119i −0.317020 0.302278i
\(556\) 5.92270 + 17.1125i 0.251178 + 0.725732i
\(557\) 24.4268 12.5929i 1.03500 0.533578i 0.144947 0.989439i \(-0.453699\pi\)
0.890051 + 0.455861i \(0.150669\pi\)
\(558\) −4.10509 + 11.8609i −0.173782 + 0.502111i
\(559\) −1.70843 11.8824i −0.0722588 0.502571i
\(560\) −19.9183 77.4669i −0.841703 3.27358i
\(561\) 2.98211 1.91649i 0.125905 0.0809141i
\(562\) −19.1223 + 7.65540i −0.806624 + 0.322924i
\(563\) 4.57364 + 6.42278i 0.192756 + 0.270688i 0.899631 0.436650i \(-0.143835\pi\)
−0.706875 + 0.707338i \(0.749896\pi\)
\(564\) 30.0434 + 42.1900i 1.26505 + 1.77652i
\(565\) 20.4016 8.16757i 0.858302 0.343612i
\(566\) −60.0975 + 38.6223i −2.52609 + 1.62342i
\(567\) −0.658846 2.56241i −0.0276689 0.107611i
\(568\) −5.54261 38.5497i −0.232563 1.61751i
\(569\) −11.9121 + 34.4177i −0.499381 + 1.44287i 0.360688 + 0.932687i \(0.382542\pi\)
−0.860068 + 0.510179i \(0.829579\pi\)
\(570\) 66.0533 34.0529i 2.76667 1.42632i
\(571\) −4.98612 14.4065i −0.208663 0.602891i 0.791301 0.611427i \(-0.209404\pi\)
−0.999964 + 0.00853561i \(0.997283\pi\)
\(572\) −10.8074 10.3048i −0.451879 0.430866i
\(573\) −1.04998 2.29913i −0.0438635 0.0960477i
\(574\) 35.6640 0.487533i 1.48859 0.0203492i
\(575\) 51.2996 + 21.6486i 2.13934 + 0.902809i
\(576\) −0.313241 0.542550i −0.0130517 0.0226062i
\(577\) −20.5954 1.96662i −0.857398 0.0818716i −0.342909 0.939369i \(-0.611412\pi\)
−0.514489 + 0.857497i \(0.672018\pi\)
\(578\) −2.42935 + 10.0139i −0.101048 + 0.416524i
\(579\) −11.4887 2.21427i −0.477455 0.0920220i
\(580\) 78.7454 + 50.6066i 3.26972 + 2.10132i
\(581\) 26.9970 5.58702i 1.12002 0.231789i
\(582\) −2.02230 14.0654i −0.0838270 0.583029i
\(583\) −1.13712 4.68729i −0.0470949 0.194128i
\(584\) −3.06385 64.3181i −0.126783 2.66150i
\(585\) −13.6815 10.7593i −0.565661 0.444841i
\(586\) −60.8069 + 5.80635i −2.51191 + 0.239858i
\(587\) −5.24438 + 11.4836i −0.216459 + 0.473978i −0.986447 0.164080i \(-0.947535\pi\)
0.769989 + 0.638058i \(0.220262\pi\)
\(588\) −25.4180 18.8877i −1.04822 0.778916i
\(589\) −29.5114 + 18.9658i −1.21600 + 0.781474i
\(590\) −6.39188 26.3477i −0.263150 1.08472i
\(591\) 9.40411 + 3.76484i 0.386833 + 0.154865i
\(592\) −18.4429 + 3.55457i −0.757997 + 0.146092i
\(593\) 2.25176 47.2702i 0.0924686 1.94115i −0.189808 0.981821i \(-0.560786\pi\)
0.282276 0.959333i \(-0.408911\pi\)
\(594\) −1.29281 + 1.49198i −0.0530447 + 0.0612169i
\(595\) 11.0012 48.2147i 0.451004 1.97661i
\(596\) 3.94720 + 8.64316i 0.161684 + 0.354038i
\(597\) −3.00113 5.19810i −0.122828 0.212744i
\(598\) 25.3127 + 45.7816i 1.03511 + 1.87215i
\(599\) 16.4986 28.5763i 0.674113 1.16760i −0.302615 0.953113i \(-0.597860\pi\)
0.976727 0.214484i \(-0.0688071\pi\)
\(600\) −43.4146 + 60.9673i −1.77239 + 2.48898i
\(601\) 14.7600 4.33392i 0.602072 0.176784i 0.0335287 0.999438i \(-0.489325\pi\)
0.568543 + 0.822654i \(0.307507\pi\)
\(602\) −12.2421 + 14.5247i −0.498952 + 0.591981i
\(603\) −0.988320 0.635155i −0.0402475 0.0258655i
\(604\) −14.3534 + 41.4713i −0.584030 + 1.68744i
\(605\) −39.3594 15.7571i −1.60019 0.640619i
\(606\) 20.9866 20.0107i 0.852524 0.812880i
\(607\) −16.5264 8.51994i −0.670785 0.345814i 0.0889599 0.996035i \(-0.471646\pi\)
−0.759745 + 0.650222i \(0.774676\pi\)
\(608\) 6.15040 42.7769i 0.249432 1.73483i
\(609\) 13.3527 1.45946i 0.541077 0.0591404i
\(610\) −16.7628 + 36.7055i −0.678707 + 1.48616i
\(611\) 45.3920 18.1722i 1.83637 0.735170i
\(612\) −0.987232 20.7246i −0.0399065 0.837741i
\(613\) 18.5352 17.6733i 0.748629 0.713816i −0.216300 0.976327i \(-0.569399\pi\)
0.964929 + 0.262511i \(0.0845505\pi\)
\(614\) −14.2844 + 11.2333i −0.576470 + 0.453341i
\(615\) −14.0865 16.2567i −0.568024 0.655534i
\(616\) −0.447215 + 13.1752i −0.0180188 + 0.530846i
\(617\) 9.60972 11.0902i 0.386873 0.446475i −0.528590 0.848877i \(-0.677279\pi\)
0.915463 + 0.402402i \(0.131825\pi\)
\(618\) −33.0118 31.4767i −1.32793 1.26618i
\(619\) −40.9342 3.90874i −1.64529 0.157106i −0.769116 0.639109i \(-0.779303\pi\)
−0.876169 + 0.482004i \(0.839909\pi\)
\(620\) 45.3003 78.4624i 1.81930 3.15113i
\(621\) 4.08186 2.51762i 0.163799 0.101029i
\(622\) −20.6749 −0.828986
\(623\) −2.54030 5.36710i −0.101775 0.215028i
\(624\) −30.3961 + 8.92511i −1.21682 + 0.357290i
\(625\) 50.8100 + 9.79282i 2.03240 + 0.391713i
\(626\) −66.4294 + 34.2467i −2.65505 + 1.36877i
\(627\) −5.41808 + 1.04425i −0.216377 + 0.0417033i
\(628\) −24.6005 + 19.3460i −0.981665 + 0.771990i
\(629\) −11.1422 3.27166i −0.444270 0.130450i
\(630\) 1.68640 + 27.4900i 0.0671877 + 1.09523i
\(631\) 2.66094 18.5072i 0.105930 0.736762i −0.865752 0.500473i \(-0.833160\pi\)
0.971683 0.236289i \(-0.0759313\pi\)
\(632\) −6.82204 + 0.651426i −0.271366 + 0.0259123i
\(633\) −4.73645 6.65142i −0.188257 0.264370i
\(634\) −19.9536 15.6917i −0.792458 0.623196i
\(635\) −2.42058 1.24789i −0.0960577 0.0495212i
\(636\) −27.0871 7.95349i −1.07407 0.315376i
\(637\) −22.9848 + 19.1151i −0.910693 + 0.757367i
\(638\) −6.56346 7.57464i −0.259850 0.299883i
\(639\) −0.287461 + 6.03455i −0.0113718 + 0.238723i
\(640\) −14.0060 40.4676i −0.553634 1.59962i
\(641\) −6.40762 + 26.4126i −0.253086 + 1.04323i 0.693416 + 0.720537i \(0.256105\pi\)
−0.946502 + 0.322697i \(0.895410\pi\)
\(642\) 17.1242 24.0476i 0.675838 0.949081i
\(643\) −20.8830 −0.823545 −0.411772 0.911287i \(-0.635090\pi\)
−0.411772 + 0.911287i \(0.635090\pi\)
\(644\) 19.0378 54.1530i 0.750196 2.13393i
\(645\) 11.4561 0.451085
\(646\) 48.5089 68.1212i 1.90856 2.68019i
\(647\) −0.882141 + 3.63624i −0.0346806 + 0.142955i −0.986520 0.163643i \(-0.947676\pi\)
0.951839 + 0.306598i \(0.0991907\pi\)
\(648\) 2.10846 + 6.09199i 0.0828280 + 0.239316i
\(649\) −0.0957843 + 2.01076i −0.00375986 + 0.0789292i
\(650\) 82.9347 + 95.7117i 3.25297 + 3.75412i
\(651\) −2.02598 12.8423i −0.0794043 0.503328i
\(652\) −16.2420 4.76907i −0.636084 0.186771i
\(653\) 16.5609 + 8.53774i 0.648078 + 0.334108i 0.750729 0.660610i \(-0.229702\pi\)
−0.102651 + 0.994717i \(0.532733\pi\)
\(654\) 12.8784 + 10.1277i 0.503585 + 0.396024i
\(655\) 22.1976 + 31.1721i 0.867330 + 1.21800i
\(656\) −38.9743 + 3.72160i −1.52169 + 0.145304i
\(657\) −1.42151 + 9.88680i −0.0554583 + 0.385721i
\(658\) −69.2465 34.5092i −2.69951 1.34531i
\(659\) 13.7690 + 4.04293i 0.536363 + 0.157490i 0.538685 0.842507i \(-0.318921\pi\)
−0.00232270 + 0.999997i \(0.500739\pi\)
\(660\) 11.2017 8.80914i 0.436027 0.342895i
\(661\) −0.887630 + 0.171077i −0.0345248 + 0.00665411i −0.206484 0.978450i \(-0.566202\pi\)
0.171960 + 0.985104i \(0.444990\pi\)
\(662\) 6.07710 3.13296i 0.236193 0.121766i
\(663\) −19.2326 3.70679i −0.746934 0.143960i
\(664\) −64.4528 + 18.9251i −2.50125 + 0.734434i
\(665\) −43.7905 + 63.3092i −1.69812 + 2.45503i
\(666\) 6.46726 0.250601
\(667\) 9.70236 + 22.3313i 0.375677 + 0.864670i
\(668\) −54.2195 + 93.9109i −2.09782 + 3.63352i
\(669\) 0.822720 + 0.0785602i 0.0318082 + 0.00303731i
\(670\) 8.85096 + 8.43938i 0.341943 + 0.326042i
\(671\) 1.96203 2.26430i 0.0757434 0.0874125i
\(672\) 13.5911 + 8.47422i 0.524288 + 0.326900i
\(673\) 21.6757 + 25.0151i 0.835536 + 0.964260i 0.999754 0.0221637i \(-0.00705549\pi\)
−0.164218 + 0.986424i \(0.552510\pi\)
\(674\) −28.0026 + 22.0215i −1.07862 + 0.848237i
\(675\) 8.40267 8.01193i 0.323419 0.308379i
\(676\) 1.12763 + 23.6719i 0.0433704 + 0.910456i
\(677\) −24.2932 + 9.72551i −0.933662 + 0.373782i −0.788086 0.615565i \(-0.788928\pi\)
−0.145576 + 0.989347i \(0.546504\pi\)
\(678\) −5.72128 + 12.5279i −0.219725 + 0.481130i
\(679\) 8.70119 + 11.8722i 0.333921 + 0.455615i
\(680\) −17.1486 + 119.271i −0.657618 + 4.57383i
\(681\) 20.2398 + 10.4344i 0.775592 + 0.399845i
\(682\) −7.02095 + 6.69446i −0.268846 + 0.256344i
\(683\) −17.6919 7.08278i −0.676963 0.271015i 0.00759763 0.999971i \(-0.497582\pi\)
−0.684560 + 0.728956i \(0.740006\pi\)
\(684\) −10.5629 + 30.5196i −0.403883 + 1.16694i
\(685\) −3.62932 2.33242i −0.138669 0.0891172i
\(686\) 46.7774 + 7.04061i 1.78597 + 0.268812i
\(687\) −27.4236 + 8.05229i −1.04628 + 0.307214i
\(688\) 12.0949 16.9850i 0.461115 0.647546i
\(689\) −13.3252 + 23.0799i −0.507648 + 0.879272i
\(690\) −46.6832 + 17.6927i −1.77720 + 0.673549i
\(691\) −9.39595 16.2743i −0.357439 0.619102i 0.630093 0.776519i \(-0.283017\pi\)
−0.987532 + 0.157417i \(0.949683\pi\)
\(692\) −40.9333 89.6315i −1.55605 3.40728i
\(693\) 0.454905 1.99371i 0.0172804 0.0757346i
\(694\) 32.2118 37.1744i 1.22274 1.41112i
\(695\) −0.776241 + 16.2953i −0.0294445 + 0.618116i
\(696\) −32.1369 + 6.19389i −1.21815 + 0.234779i
\(697\) −22.4725 8.99665i −0.851208 0.340772i
\(698\) 0.289904 + 1.19500i 0.0109730 + 0.0452315i
\(699\) 14.8780 9.56150i 0.562737 0.361649i
\(700\) 17.8946 137.807i 0.676352 5.20860i
\(701\) 7.63351 16.7150i 0.288314 0.631319i −0.708949 0.705260i \(-0.750830\pi\)
0.997263 + 0.0739410i \(0.0235577\pi\)
\(702\) 10.8587 1.03688i 0.409835 0.0391345i
\(703\) 14.2086 + 11.1738i 0.535887 + 0.421427i
\(704\) −0.0230400 0.483670i −0.000868354 0.0182290i
\(705\) 11.0007 + 45.3454i 0.414310 + 1.70781i
\(706\) −3.18151 22.1279i −0.119738 0.832795i
\(707\) −9.43529 + 28.5168i −0.354851 + 1.07248i
\(708\) 9.91198 + 6.37004i 0.372515 + 0.239401i
\(709\) 16.5624 + 3.19214i 0.622014 + 0.119883i 0.490515 0.871433i \(-0.336809\pi\)
0.131499 + 0.991316i \(0.458021\pi\)
\(710\) 14.8268 61.1167i 0.556438 2.29367i
\(711\) 1.05825 + 0.101050i 0.0396874 + 0.00378969i
\(712\) 7.23406 + 12.5298i 0.271108 + 0.469573i
\(713\) 21.1432 10.4088i 0.791820 0.389812i
\(714\) 15.8621 + 26.6266i 0.593622 + 0.996475i
\(715\) −5.58852 12.2372i −0.208999 0.457644i
\(716\) −38.9848 37.1720i −1.45693 1.38918i
\(717\) 3.69519 + 10.6765i 0.137999 + 0.398723i
\(718\) 33.0520 17.0395i 1.23349 0.635909i
\(719\) 7.32666 21.1690i 0.273238 0.789470i −0.721991 0.691903i \(-0.756773\pi\)
0.995229 0.0975672i \(-0.0311061\pi\)
\(720\) −4.30248 29.9244i −0.160344 1.11522i
\(721\) 45.5121 + 12.6905i 1.69496 + 0.472618i
\(722\) −68.6823 + 44.1394i −2.55609 + 1.64270i
\(723\) 5.47799 2.19305i 0.203728 0.0815606i
\(724\) −1.88028 2.64049i −0.0698802 0.0981330i
\(725\) 34.1906 + 48.0140i 1.26981 + 1.78319i
\(726\) 24.6670 9.87517i 0.915477 0.366502i
\(727\) 1.19784 0.769804i 0.0444253 0.0285504i −0.518240 0.855235i \(-0.673412\pi\)
0.562665 + 0.826685i \(0.309776\pi\)
\(728\) 52.0249 50.9814i 1.92817 1.88950i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 34.0077 98.2589i 1.25868 3.63672i
\(731\) 11.4587 5.90739i 0.423817 0.218493i
\(732\) −5.73556 16.5718i −0.211992 0.612512i
\(733\) 5.26220 + 5.01750i 0.194364 + 0.185326i 0.781011 0.624517i \(-0.214704\pi\)
−0.586647 + 0.809842i \(0.699553\pi\)
\(734\) 4.82290 + 10.5607i 0.178017 + 0.389802i
\(735\) −14.9345 24.3076i −0.550867 0.896599i
\(736\) −7.36630 + 28.0824i −0.271525 + 1.03513i
\(737\) −0.454018 0.786383i −0.0167240 0.0289668i
\(738\) 13.4199 + 1.28145i 0.493995 + 0.0471708i
\(739\) −8.63272 + 35.5845i −0.317560 + 1.30900i 0.559585 + 0.828773i \(0.310960\pi\)
−0.877145 + 0.480226i \(0.840555\pi\)
\(740\) −45.8403 8.83499i −1.68512 0.324781i
\(741\) 25.6481 + 16.4830i 0.942205 + 0.605519i
\(742\) 41.2956 8.54611i 1.51601 0.313737i
\(743\) 0.149762 + 1.04162i 0.00549424 + 0.0382133i 0.992384 0.123182i \(-0.0393098\pi\)
−0.986890 + 0.161395i \(0.948401\pi\)
\(744\) 7.46837 + 30.7850i 0.273804 + 1.12863i
\(745\) 0.407307 + 8.55043i 0.0149226 + 0.313264i
\(746\) 48.5714 + 38.1970i 1.77833 + 1.39849i
\(747\) 10.3729 0.990496i 0.379526 0.0362404i
\(748\) 6.66181 14.5873i 0.243580 0.533366i
\(749\) −3.93781 + 30.3252i −0.143885 + 1.10806i
\(750\) −57.8869 + 37.2016i −2.11373 + 1.35841i
\(751\) −6.12700 25.2558i −0.223577 0.921599i −0.967406 0.253229i \(-0.918507\pi\)
0.743829 0.668370i \(-0.233008\pi\)
\(752\) 78.8435 + 31.5642i 2.87513 + 1.15103i
\(753\) −18.0829 + 3.48519i −0.658976 + 0.127007i
\(754\) −2.63505 + 55.3165i −0.0959628 + 2.01451i
\(755\) −25.8903 + 29.8791i −0.942246 + 1.08741i
\(756\) −8.77456 8.14047i −0.319128 0.296066i
\(757\) −0.174258 0.381572i −0.00633351 0.0138685i 0.906439 0.422337i \(-0.138790\pi\)
−0.912772 + 0.408469i \(0.866063\pi\)
\(758\) 48.8805 + 84.6636i 1.77542 + 3.07512i
\(759\) 3.69589 0.283916i 0.134152 0.0103055i
\(760\) 93.7814 162.434i 3.40181 5.89210i
\(761\) −11.3259 + 15.9050i −0.410564 + 0.576556i −0.967141 0.254239i \(-0.918175\pi\)
0.556577 + 0.830796i \(0.312114\pi\)
\(762\) 1.63759 0.480841i 0.0593238 0.0174190i
\(763\) −16.7066 2.98368i −0.604818 0.108017i
\(764\) −9.61920 6.18188i −0.348010 0.223653i
\(765\) 6.11349 17.6638i 0.221034 0.638635i
\(766\) −84.4371 33.8035i −3.05084 1.22137i
\(767\) 8.04997 7.67563i 0.290667 0.277151i
\(768\) 24.9678 + 12.8718i 0.900948 + 0.464471i
\(769\) −6.61702 + 46.0224i −0.238616 + 1.65961i 0.420294 + 0.907388i \(0.361927\pi\)
−0.658910 + 0.752222i \(0.728982\pi\)
\(770\) −8.57760 + 19.4828i −0.309115 + 0.702110i
\(771\) −7.69615 + 16.8522i −0.277170 + 0.606918i
\(772\) −49.1389 + 19.6723i −1.76855 + 0.708020i
\(773\) 0.731549 + 15.3571i 0.0263120 +