Properties

Label 65.2.o.a.63.2
Level $65$
Weight $2$
Character 65.63
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 63.2
Root \(-1.58474i\) of defining polynomial
Character \(\chi\) \(=\) 65.63
Dual form 65.2.o.a.32.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.792369 - 1.37242i) q^{2} +(-0.0510678 + 0.190588i) q^{3} +(-0.255697 + 0.442881i) q^{4} +(0.0672627 - 2.23506i) q^{5} +(0.302032 - 0.0809291i) q^{6} +(-0.474866 - 0.274164i) q^{7} -2.35905 q^{8} +(2.56436 + 1.48053i) q^{9} +O(q^{10})\) \(q+(-0.792369 - 1.37242i) q^{2} +(-0.0510678 + 0.190588i) q^{3} +(-0.255697 + 0.442881i) q^{4} +(0.0672627 - 2.23506i) q^{5} +(0.302032 - 0.0809291i) q^{6} +(-0.474866 - 0.274164i) q^{7} -2.35905 q^{8} +(2.56436 + 1.48053i) q^{9} +(-3.12074 + 1.67868i) q^{10} +(0.147928 + 0.0396372i) q^{11} +(-0.0713497 - 0.0713497i) q^{12} +(1.63157 + 3.21528i) q^{13} +0.868956i q^{14} +(0.422539 + 0.126959i) q^{15} +(2.38063 + 4.12338i) q^{16} +(3.03602 - 0.813499i) q^{17} -4.69252i q^{18} +(1.18079 + 4.40678i) q^{19} +(0.972665 + 0.601287i) q^{20} +(0.0765027 - 0.0765027i) q^{21} +(-0.0628146 - 0.234427i) q^{22} +(-3.41860 - 0.916011i) q^{23} +(0.120472 - 0.449606i) q^{24} +(-4.99095 - 0.300672i) q^{25} +(3.11992 - 4.78688i) q^{26} +(-0.831688 + 0.831688i) q^{27} +(0.242844 - 0.140206i) q^{28} +(-2.02878 + 1.17132i) q^{29} +(-0.160566 - 0.680501i) q^{30} +(-6.61000 - 6.61000i) q^{31} +(1.41363 - 2.44848i) q^{32} +(-0.0151087 + 0.0261691i) q^{33} +(-3.52211 - 3.52211i) q^{34} +(-0.644713 + 1.04291i) q^{35} +(-1.31140 + 0.757137i) q^{36} +(5.89447 - 3.40317i) q^{37} +(5.11234 - 5.11234i) q^{38} +(-0.696113 + 0.146759i) q^{39} +(-0.158676 + 5.27261i) q^{40} +(0.926064 - 3.45612i) q^{41} +(-0.165612 - 0.0443757i) q^{42} +(1.84023 + 6.86784i) q^{43} +(-0.0553794 + 0.0553794i) q^{44} +(3.48156 - 5.63190i) q^{45} +(1.45164 + 5.41759i) q^{46} +9.13956i q^{47} +(-0.907439 + 0.243147i) q^{48} +(-3.34967 - 5.80180i) q^{49} +(3.54203 + 7.08794i) q^{50} +0.620172i q^{51} +(-1.84117 - 0.0995483i) q^{52} +(-3.70952 - 3.70952i) q^{53} +(1.80043 + 0.482424i) q^{54} +(0.0985415 - 0.327962i) q^{55} +(1.12023 + 0.646766i) q^{56} -0.900179 q^{57} +(3.21508 + 1.85623i) q^{58} +(3.67728 - 0.985325i) q^{59} +(-0.164270 + 0.154672i) q^{60} +(-3.92486 + 6.79805i) q^{61} +(-3.83416 + 14.3093i) q^{62} +(-0.811818 - 1.40611i) q^{63} +5.04207 q^{64} +(7.29606 - 3.43037i) q^{65} +0.0478868 q^{66} +(-2.44516 - 4.23514i) q^{67} +(-0.416019 + 1.55261i) q^{68} +(0.349161 - 0.604765i) q^{69} +(1.94217 + 0.0584483i) q^{70} +(-15.1045 + 4.04725i) q^{71} +(-6.04945 - 3.49265i) q^{72} +3.91807 q^{73} +(-9.34119 - 5.39314i) q^{74} +(0.312181 - 0.935860i) q^{75} +(-2.25360 - 0.603851i) q^{76} +(-0.0593789 - 0.0593789i) q^{77} +(0.752994 + 0.839074i) q^{78} -11.1394i q^{79} +(9.37611 - 5.04350i) q^{80} +(4.32557 + 7.49210i) q^{81} +(-5.47704 + 1.46757i) q^{82} +13.4251i q^{83} +(0.0143200 + 0.0534431i) q^{84} +(-1.61401 - 6.84039i) q^{85} +(7.96744 - 7.96744i) q^{86} +(-0.119633 - 0.446477i) q^{87} +(-0.348970 - 0.0935062i) q^{88} +(-2.35372 + 8.78419i) q^{89} +(-10.4880 - 0.315631i) q^{90} +(0.106738 - 1.97414i) q^{91} +(1.27981 - 1.27981i) q^{92} +(1.59734 - 0.922226i) q^{93} +(12.5433 - 7.24190i) q^{94} +(9.92882 - 2.34273i) q^{95} +(0.394459 + 0.394459i) q^{96} +(3.78550 - 6.55668i) q^{97} +(-5.30835 + 9.19433i) q^{98} +(0.320657 + 0.320657i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.792369 1.37242i −0.560290 0.970450i −0.997471 0.0710765i \(-0.977357\pi\)
0.437181 0.899373i \(-0.355977\pi\)
\(3\) −0.0510678 + 0.190588i −0.0294840 + 0.110036i −0.979100 0.203381i \(-0.934807\pi\)
0.949616 + 0.313417i \(0.101474\pi\)
\(4\) −0.255697 + 0.442881i −0.127849 + 0.221440i
\(5\) 0.0672627 2.23506i 0.0300808 0.999547i
\(6\) 0.302032 0.0809291i 0.123304 0.0330392i
\(7\) −0.474866 0.274164i −0.179482 0.103624i 0.407567 0.913175i \(-0.366377\pi\)
−0.587049 + 0.809551i \(0.699711\pi\)
\(8\) −2.35905 −0.834050
\(9\) 2.56436 + 1.48053i 0.854787 + 0.493511i
\(10\) −3.12074 + 1.67868i −0.986865 + 0.530844i
\(11\) 0.147928 + 0.0396372i 0.0446020 + 0.0119511i 0.281051 0.959693i \(-0.409317\pi\)
−0.236449 + 0.971644i \(0.575984\pi\)
\(12\) −0.0713497 0.0713497i −0.0205969 0.0205969i
\(13\) 1.63157 + 3.21528i 0.452515 + 0.891757i
\(14\) 0.868956i 0.232238i
\(15\) 0.422539 + 0.126959i 0.109099 + 0.0327807i
\(16\) 2.38063 + 4.12338i 0.595158 + 1.03084i
\(17\) 3.03602 0.813499i 0.736343 0.197303i 0.128891 0.991659i \(-0.458858\pi\)
0.607452 + 0.794356i \(0.292192\pi\)
\(18\) 4.69252i 1.10604i
\(19\) 1.18079 + 4.40678i 0.270893 + 1.01098i 0.958544 + 0.284944i \(0.0919750\pi\)
−0.687652 + 0.726041i \(0.741358\pi\)
\(20\) 0.972665 + 0.601287i 0.217494 + 0.134452i
\(21\) 0.0765027 0.0765027i 0.0166942 0.0166942i
\(22\) −0.0628146 0.234427i −0.0133921 0.0499801i
\(23\) −3.41860 0.916011i −0.712828 0.191002i −0.115858 0.993266i \(-0.536962\pi\)
−0.596969 + 0.802264i \(0.703629\pi\)
\(24\) 0.120472 0.449606i 0.0245912 0.0917754i
\(25\) −4.99095 0.300672i −0.998190 0.0601343i
\(26\) 3.11992 4.78688i 0.611866 0.938785i
\(27\) −0.831688 + 0.831688i −0.160058 + 0.160058i
\(28\) 0.242844 0.140206i 0.0458932 0.0264964i
\(29\) −2.02878 + 1.17132i −0.376735 + 0.217508i −0.676397 0.736538i \(-0.736459\pi\)
0.299662 + 0.954045i \(0.403126\pi\)
\(30\) −0.160566 0.680501i −0.0293152 0.124242i
\(31\) −6.61000 6.61000i −1.18719 1.18719i −0.977841 0.209350i \(-0.932865\pi\)
−0.209350 0.977841i \(-0.567135\pi\)
\(32\) 1.41363 2.44848i 0.249897 0.432834i
\(33\) −0.0151087 + 0.0261691i −0.00263009 + 0.00455546i
\(34\) −3.52211 3.52211i −0.604038 0.604038i
\(35\) −0.644713 + 1.04291i −0.108976 + 0.176284i
\(36\) −1.31140 + 0.757137i −0.218567 + 0.126190i
\(37\) 5.89447 3.40317i 0.969045 0.559478i 0.0700997 0.997540i \(-0.477668\pi\)
0.898945 + 0.438062i \(0.144335\pi\)
\(38\) 5.11234 5.11234i 0.829332 0.829332i
\(39\) −0.696113 + 0.146759i −0.111467 + 0.0235003i
\(40\) −0.158676 + 5.27261i −0.0250889 + 0.833672i
\(41\) 0.926064 3.45612i 0.144627 0.539755i −0.855145 0.518389i \(-0.826532\pi\)
0.999772 0.0213659i \(-0.00680149\pi\)
\(42\) −0.165612 0.0443757i −0.0255545 0.00684732i
\(43\) 1.84023 + 6.86784i 0.280633 + 1.04734i 0.951972 + 0.306185i \(0.0990527\pi\)
−0.671339 + 0.741150i \(0.734281\pi\)
\(44\) −0.0553794 + 0.0553794i −0.00834876 + 0.00834876i
\(45\) 3.48156 5.63190i 0.519001 0.839555i
\(46\) 1.45164 + 5.41759i 0.214032 + 0.798780i
\(47\) 9.13956i 1.33314i 0.745442 + 0.666571i \(0.232239\pi\)
−0.745442 + 0.666571i \(0.767761\pi\)
\(48\) −0.907439 + 0.243147i −0.130978 + 0.0350953i
\(49\) −3.34967 5.80180i −0.478524 0.828828i
\(50\) 3.54203 + 7.08794i 0.500918 + 1.00239i
\(51\) 0.620172i 0.0868415i
\(52\) −1.84117 0.0995483i −0.255324 0.0138049i
\(53\) −3.70952 3.70952i −0.509541 0.509541i 0.404844 0.914386i \(-0.367326\pi\)
−0.914386 + 0.404844i \(0.867326\pi\)
\(54\) 1.80043 + 0.482424i 0.245008 + 0.0656496i
\(55\) 0.0985415 0.327962i 0.0132873 0.0442223i
\(56\) 1.12023 + 0.646766i 0.149697 + 0.0864278i
\(57\) −0.900179 −0.119232
\(58\) 3.21508 + 1.85623i 0.422161 + 0.243735i
\(59\) 3.67728 0.985325i 0.478742 0.128278i −0.0113750 0.999935i \(-0.503621\pi\)
0.490117 + 0.871657i \(0.336954\pi\)
\(60\) −0.164270 + 0.154672i −0.0212071 + 0.0199680i
\(61\) −3.92486 + 6.79805i −0.502526 + 0.870401i 0.497470 + 0.867481i \(0.334263\pi\)
−0.999996 + 0.00291945i \(0.999071\pi\)
\(62\) −3.83416 + 14.3093i −0.486939 + 1.81728i
\(63\) −0.811818 1.40611i −0.102279 0.177153i
\(64\) 5.04207 0.630258
\(65\) 7.29606 3.43037i 0.904965 0.425485i
\(66\) 0.0478868 0.00589446
\(67\) −2.44516 4.23514i −0.298724 0.517405i 0.677120 0.735872i \(-0.263228\pi\)
−0.975844 + 0.218467i \(0.929894\pi\)
\(68\) −0.416019 + 1.55261i −0.0504497 + 0.188281i
\(69\) 0.349161 0.604765i 0.0420341 0.0728051i
\(70\) 1.94217 + 0.0584483i 0.232133 + 0.00698591i
\(71\) −15.1045 + 4.04725i −1.79258 + 0.480320i −0.992780 0.119947i \(-0.961727\pi\)
−0.799799 + 0.600267i \(0.795061\pi\)
\(72\) −6.04945 3.49265i −0.712935 0.411613i
\(73\) 3.91807 0.458575 0.229288 0.973359i \(-0.426360\pi\)
0.229288 + 0.973359i \(0.426360\pi\)
\(74\) −9.34119 5.39314i −1.08589 0.626939i
\(75\) 0.312181 0.935860i 0.0360476 0.108064i
\(76\) −2.25360 0.603851i −0.258506 0.0692665i
\(77\) −0.0593789 0.0593789i −0.00676686 0.00676686i
\(78\) 0.752994 + 0.839074i 0.0852598 + 0.0950064i
\(79\) 11.1394i 1.25328i −0.779309 0.626640i \(-0.784430\pi\)
0.779309 0.626640i \(-0.215570\pi\)
\(80\) 9.37611 5.04350i 1.04828 0.563880i
\(81\) 4.32557 + 7.49210i 0.480618 + 0.832455i
\(82\) −5.47704 + 1.46757i −0.604838 + 0.162066i
\(83\) 13.4251i 1.47360i 0.676113 + 0.736798i \(0.263663\pi\)
−0.676113 + 0.736798i \(0.736337\pi\)
\(84\) 0.0143200 + 0.0534431i 0.00156244 + 0.00583112i
\(85\) −1.61401 6.84039i −0.175063 0.741945i
\(86\) 7.96744 7.96744i 0.859151 0.859151i
\(87\) −0.119633 0.446477i −0.0128260 0.0478673i
\(88\) −0.348970 0.0935062i −0.0372003 0.00996779i
\(89\) −2.35372 + 8.78419i −0.249493 + 0.931122i 0.721578 + 0.692333i \(0.243417\pi\)
−0.971071 + 0.238789i \(0.923250\pi\)
\(90\) −10.4880 0.315631i −1.10554 0.0332705i
\(91\) 0.106738 1.97414i 0.0111891 0.206946i
\(92\) 1.27981 1.27981i 0.133430 0.133430i
\(93\) 1.59734 0.922226i 0.165637 0.0956304i
\(94\) 12.5433 7.24190i 1.29375 0.746945i
\(95\) 9.92882 2.34273i 1.01868 0.240359i
\(96\) 0.394459 + 0.394459i 0.0402593 + 0.0402593i
\(97\) 3.78550 6.55668i 0.384360 0.665730i −0.607321 0.794457i \(-0.707756\pi\)
0.991680 + 0.128727i \(0.0410890\pi\)
\(98\) −5.30835 + 9.19433i −0.536224 + 0.928767i
\(99\) 0.320657 + 0.320657i 0.0322272 + 0.0322272i
\(100\) 1.40933 2.13352i 0.140933 0.213352i
\(101\) 11.7218 6.76758i 1.16636 0.673400i 0.213542 0.976934i \(-0.431500\pi\)
0.952821 + 0.303534i \(0.0981667\pi\)
\(102\) 0.851139 0.491405i 0.0842753 0.0486564i
\(103\) 10.3566 10.3566i 1.02046 1.02046i 0.0206759 0.999786i \(-0.493418\pi\)
0.999786 0.0206759i \(-0.00658183\pi\)
\(104\) −3.84894 7.58499i −0.377420 0.743770i
\(105\) −0.165842 0.176134i −0.0161845 0.0171889i
\(106\) −2.15172 + 8.03034i −0.208994 + 0.779975i
\(107\) −15.5283 4.16078i −1.50117 0.402238i −0.587680 0.809093i \(-0.699959\pi\)
−0.913493 + 0.406855i \(0.866625\pi\)
\(108\) −0.155678 0.580999i −0.0149801 0.0559066i
\(109\) −8.20821 + 8.20821i −0.786203 + 0.786203i −0.980870 0.194666i \(-0.937638\pi\)
0.194666 + 0.980870i \(0.437638\pi\)
\(110\) −0.528183 + 0.124626i −0.0503603 + 0.0118826i
\(111\) 0.347585 + 1.29721i 0.0329913 + 0.123125i
\(112\) 2.61073i 0.246691i
\(113\) −4.40249 + 1.17964i −0.414151 + 0.110972i −0.459877 0.887982i \(-0.652107\pi\)
0.0457259 + 0.998954i \(0.485440\pi\)
\(114\) 0.713274 + 1.23543i 0.0668042 + 0.115708i
\(115\) −2.27728 + 7.57915i −0.212358 + 0.706760i
\(116\) 1.19801i 0.111232i
\(117\) −0.576403 + 10.6607i −0.0532884 + 0.985583i
\(118\) −4.26605 4.26605i −0.392722 0.392722i
\(119\) −1.66473 0.446064i −0.152606 0.0408907i
\(120\) −0.996791 0.299502i −0.0909942 0.0273407i
\(121\) −9.50597 5.48827i −0.864179 0.498934i
\(122\) 12.4397 1.12624
\(123\) 0.611402 + 0.352993i 0.0551283 + 0.0318283i
\(124\) 4.61760 1.23728i 0.414673 0.111111i
\(125\) −1.00772 + 11.1348i −0.0901335 + 0.995930i
\(126\) −1.28652 + 2.22832i −0.114612 + 0.198514i
\(127\) 0.629533 2.34945i 0.0558620 0.208480i −0.932354 0.361547i \(-0.882249\pi\)
0.988216 + 0.153068i \(0.0489152\pi\)
\(128\) −6.82244 11.8168i −0.603024 1.04447i
\(129\) −1.40290 −0.123519
\(130\) −10.4891 7.29517i −0.919955 0.639829i
\(131\) 6.60705 0.577260 0.288630 0.957441i \(-0.406800\pi\)
0.288630 + 0.957441i \(0.406800\pi\)
\(132\) −0.00772653 0.0133827i −0.000672508 0.00116482i
\(133\) 0.647462 2.41636i 0.0561421 0.209525i
\(134\) −3.87494 + 6.71159i −0.334744 + 0.579793i
\(135\) 1.80293 + 1.91481i 0.155171 + 0.164801i
\(136\) −7.16212 + 1.91909i −0.614147 + 0.164560i
\(137\) 3.51216 + 2.02775i 0.300064 + 0.173242i 0.642472 0.766309i \(-0.277909\pi\)
−0.342408 + 0.939552i \(0.611242\pi\)
\(138\) −1.10666 −0.0942050
\(139\) 11.1052 + 6.41160i 0.941932 + 0.543825i 0.890566 0.454855i \(-0.150309\pi\)
0.0513668 + 0.998680i \(0.483642\pi\)
\(140\) −0.297034 0.552200i −0.0251039 0.0466695i
\(141\) −1.74189 0.466737i −0.146693 0.0393064i
\(142\) 17.5229 + 17.5229i 1.47049 + 1.47049i
\(143\) 0.113910 + 0.540300i 0.00952562 + 0.0451822i
\(144\) 14.0984i 1.17487i
\(145\) 2.48149 + 4.61322i 0.206077 + 0.383107i
\(146\) −3.10455 5.37725i −0.256935 0.445024i
\(147\) 1.27681 0.342121i 0.105310 0.0282176i
\(148\) 3.48073i 0.286114i
\(149\) 1.10123 + 4.10983i 0.0902159 + 0.336690i 0.996251 0.0865128i \(-0.0275723\pi\)
−0.906035 + 0.423203i \(0.860906\pi\)
\(150\) −1.53176 + 0.313101i −0.125068 + 0.0255646i
\(151\) 4.89430 4.89430i 0.398293 0.398293i −0.479338 0.877630i \(-0.659123\pi\)
0.877630 + 0.479338i \(0.159123\pi\)
\(152\) −2.78555 10.3958i −0.225938 0.843212i
\(153\) 8.98987 + 2.40883i 0.726788 + 0.194742i
\(154\) −0.0344430 + 0.128543i −0.00277550 + 0.0103583i
\(155\) −15.2183 + 14.3291i −1.22236 + 1.15094i
\(156\) 0.112997 0.345821i 0.00904702 0.0276878i
\(157\) 2.29887 2.29887i 0.183470 0.183470i −0.609396 0.792866i \(-0.708588\pi\)
0.792866 + 0.609396i \(0.208588\pi\)
\(158\) −15.2880 + 8.82651i −1.21625 + 0.702199i
\(159\) 0.896426 0.517552i 0.0710912 0.0410445i
\(160\) −5.37740 3.32423i −0.425121 0.262804i
\(161\) 1.37224 + 1.37224i 0.108148 + 0.108148i
\(162\) 6.85489 11.8730i 0.538571 0.932832i
\(163\) 5.43423 9.41236i 0.425642 0.737233i −0.570839 0.821062i \(-0.693382\pi\)
0.996480 + 0.0838295i \(0.0267151\pi\)
\(164\) 1.29386 + 1.29386i 0.101033 + 0.101033i
\(165\) 0.0574732 + 0.0355291i 0.00447428 + 0.00276594i
\(166\) 18.4249 10.6376i 1.43005 0.825640i
\(167\) 14.1672 8.17941i 1.09629 0.632942i 0.161044 0.986947i \(-0.448514\pi\)
0.935243 + 0.354005i \(0.115181\pi\)
\(168\) −0.180474 + 0.180474i −0.0139238 + 0.0139238i
\(169\) −7.67599 + 10.4919i −0.590461 + 0.807066i
\(170\) −8.10903 + 7.63522i −0.621934 + 0.585594i
\(171\) −3.49641 + 13.0488i −0.267377 + 0.997865i
\(172\) −3.51218 0.941085i −0.267801 0.0717570i
\(173\) −1.76871 6.60091i −0.134472 0.501858i −1.00000 0.000995657i \(-0.999683\pi\)
0.865527 0.500862i \(-0.166984\pi\)
\(174\) −0.517961 + 0.517961i −0.0392666 + 0.0392666i
\(175\) 2.28760 + 1.51112i 0.172926 + 0.114230i
\(176\) 0.188723 + 0.704325i 0.0142256 + 0.0530905i
\(177\) 0.751164i 0.0564609i
\(178\) 13.9206 3.73002i 1.04340 0.279577i
\(179\) −2.83696 4.91376i −0.212044 0.367272i 0.740310 0.672266i \(-0.234679\pi\)
−0.952354 + 0.304994i \(0.901345\pi\)
\(180\) 1.60404 + 2.98198i 0.119558 + 0.222264i
\(181\) 3.59115i 0.266928i 0.991054 + 0.133464i \(0.0426101\pi\)
−0.991054 + 0.133464i \(0.957390\pi\)
\(182\) −2.79393 + 1.41776i −0.207100 + 0.105091i
\(183\) −1.09519 1.09519i −0.0809588 0.0809588i
\(184\) 8.06465 + 2.16092i 0.594534 + 0.159305i
\(185\) −7.20980 13.4034i −0.530075 0.985436i
\(186\) −2.53137 1.46149i −0.185609 0.107161i
\(187\) 0.481358 0.0352004
\(188\) −4.04773 2.33696i −0.295211 0.170440i
\(189\) 0.622959 0.166921i 0.0453136 0.0121417i
\(190\) −11.0825 11.7702i −0.804009 0.853903i
\(191\) 11.7411 20.3361i 0.849553 1.47147i −0.0320553 0.999486i \(-0.510205\pi\)
0.881608 0.471982i \(-0.156461\pi\)
\(192\) −0.257487 + 0.960956i −0.0185825 + 0.0693510i
\(193\) −7.91891 13.7160i −0.570016 0.987296i −0.996564 0.0828311i \(-0.973604\pi\)
0.426548 0.904465i \(-0.359730\pi\)
\(194\) −11.9981 −0.861411
\(195\) 0.281193 + 1.56572i 0.0201366 + 0.112124i
\(196\) 3.42601 0.244715
\(197\) −2.85639 4.94741i −0.203509 0.352488i 0.746148 0.665781i \(-0.231901\pi\)
−0.949657 + 0.313292i \(0.898568\pi\)
\(198\) 0.185998 0.694156i 0.0132183 0.0493315i
\(199\) 4.65156 8.05674i 0.329740 0.571127i −0.652720 0.757599i \(-0.726372\pi\)
0.982460 + 0.186472i \(0.0597055\pi\)
\(200\) 11.7739 + 0.709299i 0.832541 + 0.0501550i
\(201\) 0.932035 0.249738i 0.0657407 0.0176152i
\(202\) −18.5760 10.7248i −1.30700 0.754597i
\(203\) 1.28453 0.0901563
\(204\) −0.274662 0.158576i −0.0192302 0.0111026i
\(205\) −7.66233 2.30227i −0.535160 0.160798i
\(206\) −22.4198 6.00737i −1.56206 0.418553i
\(207\) −7.41034 7.41034i −0.515054 0.515054i
\(208\) −9.37363 + 14.3819i −0.649944 + 0.997209i
\(209\) 0.698690i 0.0483294i
\(210\) −0.110322 + 0.367168i −0.00761292 + 0.0253370i
\(211\) 2.73779 + 4.74199i 0.188477 + 0.326452i 0.944743 0.327813i \(-0.106311\pi\)
−0.756265 + 0.654265i \(0.772978\pi\)
\(212\) 2.59139 0.694360i 0.177977 0.0476889i
\(213\) 3.08543i 0.211410i
\(214\) 6.59375 + 24.6082i 0.450739 + 1.68218i
\(215\) 15.4738 3.65107i 1.05530 0.249001i
\(216\) 1.96199 1.96199i 0.133497 0.133497i
\(217\) 1.32664 + 4.95108i 0.0900581 + 0.336102i
\(218\) 17.7691 + 4.76121i 1.20347 + 0.322470i
\(219\) −0.200087 + 0.746736i −0.0135206 + 0.0504597i
\(220\) 0.120051 + 0.127501i 0.00809385 + 0.00859612i
\(221\) 7.56909 + 8.43436i 0.509152 + 0.567357i
\(222\) 1.50490 1.50490i 0.101002 0.101002i
\(223\) −16.0805 + 9.28408i −1.07683 + 0.621708i −0.930039 0.367460i \(-0.880227\pi\)
−0.146790 + 0.989168i \(0.546894\pi\)
\(224\) −1.34257 + 0.775132i −0.0897041 + 0.0517907i
\(225\) −12.3534 8.16030i −0.823563 0.544020i
\(226\) 5.10737 + 5.10737i 0.339737 + 0.339737i
\(227\) −3.19333 + 5.53101i −0.211949 + 0.367106i −0.952324 0.305087i \(-0.901314\pi\)
0.740376 + 0.672193i \(0.234648\pi\)
\(228\) 0.230173 0.398672i 0.0152436 0.0264027i
\(229\) −11.1149 11.1149i −0.734491 0.734491i 0.237015 0.971506i \(-0.423831\pi\)
−0.971506 + 0.237015i \(0.923831\pi\)
\(230\) 12.2063 2.88009i 0.804857 0.189908i
\(231\) 0.0143493 0.00828454i 0.000944111 0.000545083i
\(232\) 4.78599 2.76319i 0.314215 0.181412i
\(233\) −5.85956 + 5.85956i −0.383873 + 0.383873i −0.872495 0.488623i \(-0.837500\pi\)
0.488623 + 0.872495i \(0.337500\pi\)
\(234\) 15.0877 7.65615i 0.986316 0.500498i
\(235\) 20.4274 + 0.614751i 1.33254 + 0.0401019i
\(236\) −0.503890 + 1.88054i −0.0328004 + 0.122413i
\(237\) 2.12303 + 0.568865i 0.137906 + 0.0369517i
\(238\) 0.706895 + 2.63817i 0.0458212 + 0.171007i
\(239\) 13.8081 13.8081i 0.893170 0.893170i −0.101650 0.994820i \(-0.532412\pi\)
0.994820 + 0.101650i \(0.0324123\pi\)
\(240\) 0.482411 + 2.04453i 0.0311395 + 0.131974i
\(241\) 4.43437 + 16.5493i 0.285643 + 1.06603i 0.948368 + 0.317172i \(0.102733\pi\)
−0.662725 + 0.748863i \(0.730600\pi\)
\(242\) 17.3950i 1.11819i
\(243\) −5.05712 + 1.35505i −0.324414 + 0.0869266i
\(244\) −2.00715 3.47649i −0.128495 0.222559i
\(245\) −13.1926 + 7.09645i −0.842847 + 0.453376i
\(246\) 1.11880i 0.0713323i
\(247\) −12.2425 + 10.9865i −0.778970 + 0.699056i
\(248\) 15.5933 + 15.5933i 0.990176 + 0.990176i
\(249\) −2.55866 0.685590i −0.162148 0.0434475i
\(250\) 16.0802 7.43987i 1.01700 0.470539i
\(251\) 8.61959 + 4.97652i 0.544063 + 0.314115i 0.746724 0.665134i \(-0.231626\pi\)
−0.202661 + 0.979249i \(0.564959\pi\)
\(252\) 0.830319 0.0523052
\(253\) −0.469399 0.271008i −0.0295109 0.0170381i
\(254\) −3.72326 + 0.997644i −0.233618 + 0.0625978i
\(255\) 1.38612 + 0.0417144i 0.0868022 + 0.00261226i
\(256\) −5.76971 + 9.99343i −0.360607 + 0.624589i
\(257\) −0.712105 + 2.65761i −0.0444199 + 0.165777i −0.984573 0.174976i \(-0.944015\pi\)
0.940153 + 0.340753i \(0.110682\pi\)
\(258\) 1.11162 + 1.92538i 0.0692062 + 0.119869i
\(259\) −3.73211 −0.231902
\(260\) −0.346338 + 4.10842i −0.0214790 + 0.254794i
\(261\) −6.93669 −0.429370
\(262\) −5.23522 9.06767i −0.323433 0.560202i
\(263\) −1.59881 + 5.96686i −0.0985871 + 0.367932i −0.997539 0.0701155i \(-0.977663\pi\)
0.898952 + 0.438048i \(0.144330\pi\)
\(264\) 0.0356423 0.0617342i 0.00219363 0.00379948i
\(265\) −8.54049 + 8.04147i −0.524638 + 0.493983i
\(266\) −3.82930 + 1.02606i −0.234789 + 0.0629116i
\(267\) −1.55396 0.897179i −0.0951008 0.0549065i
\(268\) 2.50088 0.152766
\(269\) 18.3796 + 10.6115i 1.12063 + 0.646994i 0.941561 0.336843i \(-0.109359\pi\)
0.179066 + 0.983837i \(0.442692\pi\)
\(270\) 1.19935 3.99162i 0.0729899 0.242922i
\(271\) −12.4458 3.33484i −0.756027 0.202577i −0.139837 0.990174i \(-0.544658\pi\)
−0.616190 + 0.787598i \(0.711325\pi\)
\(272\) 10.5820 + 10.5820i 0.641629 + 0.641629i
\(273\) 0.370796 + 0.121158i 0.0224416 + 0.00733282i
\(274\) 6.42690i 0.388263i
\(275\) −0.726385 0.242305i −0.0438026 0.0146116i
\(276\) 0.178559 + 0.309274i 0.0107480 + 0.0186161i
\(277\) −20.5514 + 5.50674i −1.23482 + 0.330868i −0.816453 0.577412i \(-0.804063\pi\)
−0.418363 + 0.908280i \(0.637396\pi\)
\(278\) 20.3214i 1.21880i
\(279\) −7.16409 26.7367i −0.428903 1.60069i
\(280\) 1.52091 2.46028i 0.0908917 0.147030i
\(281\) −4.22655 + 4.22655i −0.252135 + 0.252135i −0.821845 0.569711i \(-0.807055\pi\)
0.569711 + 0.821845i \(0.307055\pi\)
\(282\) 0.739656 + 2.76044i 0.0440459 + 0.164382i
\(283\) −1.48552 0.398044i −0.0883050 0.0236613i 0.214396 0.976747i \(-0.431222\pi\)
−0.302701 + 0.953086i \(0.597888\pi\)
\(284\) 2.06974 7.72438i 0.122817 0.458358i
\(285\) −0.0605484 + 2.01195i −0.00358658 + 0.119178i
\(286\) 0.651262 0.584450i 0.0385100 0.0345593i
\(287\) −1.38730 + 1.38730i −0.0818897 + 0.0818897i
\(288\) 7.25011 4.18585i 0.427217 0.246654i
\(289\) −6.16679 + 3.56040i −0.362752 + 0.209435i
\(290\) 4.36503 7.06103i 0.256323 0.414638i
\(291\) 1.05631 + 1.05631i 0.0619218 + 0.0619218i
\(292\) −1.00184 + 1.73524i −0.0586282 + 0.101547i
\(293\) −1.39593 + 2.41782i −0.0815512 + 0.141251i −0.903916 0.427709i \(-0.859321\pi\)
0.822365 + 0.568960i \(0.192654\pi\)
\(294\) −1.48124 1.48124i −0.0863877 0.0863877i
\(295\) −1.95491 8.28521i −0.113819 0.482384i
\(296\) −13.9053 + 8.02825i −0.808232 + 0.466633i
\(297\) −0.155996 + 0.0900642i −0.00905180 + 0.00522606i
\(298\) 4.76785 4.76785i 0.276194 0.276194i
\(299\) −2.63244 12.4863i −0.152238 0.722100i
\(300\) 0.334650 + 0.377556i 0.0193210 + 0.0217982i
\(301\) 1.00905 3.76583i 0.0581607 0.217059i
\(302\) −10.5951 2.83896i −0.609682 0.163364i
\(303\) 0.691212 + 2.57964i 0.0397091 + 0.148196i
\(304\) −15.3598 + 15.3598i −0.880944 + 0.880944i
\(305\) 14.9300 + 9.22953i 0.854891 + 0.528481i
\(306\) −3.81736 14.2466i −0.218224 0.814423i
\(307\) 2.12112i 0.121058i −0.998166 0.0605292i \(-0.980721\pi\)
0.998166 0.0605292i \(-0.0192788\pi\)
\(308\) 0.0414808 0.0111148i 0.00236359 0.000633322i
\(309\) 1.44495 + 2.50272i 0.0822001 + 0.142375i
\(310\) 31.7241 + 9.53204i 1.80181 + 0.541383i
\(311\) 21.2656i 1.20586i −0.797794 0.602931i \(-0.794000\pi\)
0.797794 0.602931i \(-0.206000\pi\)
\(312\) 1.64216 0.346212i 0.0929692 0.0196004i
\(313\) −14.3666 14.3666i −0.812050 0.812050i 0.172891 0.984941i \(-0.444689\pi\)
−0.984941 + 0.172891i \(0.944689\pi\)
\(314\) −4.97657 1.33347i −0.280844 0.0752519i
\(315\) −3.19734 + 1.71988i −0.180150 + 0.0969043i
\(316\) 4.93342 + 2.84831i 0.277527 + 0.160230i
\(317\) 8.78989 0.493689 0.246845 0.969055i \(-0.420606\pi\)
0.246845 + 0.969055i \(0.420606\pi\)
\(318\) −1.42060 0.820184i −0.0796633 0.0459936i
\(319\) −0.346541 + 0.0928554i −0.0194026 + 0.00519890i
\(320\) 0.339143 11.2693i 0.0189587 0.629973i
\(321\) 1.58599 2.74701i 0.0885212 0.153323i
\(322\) 0.795974 2.97061i 0.0443579 0.165546i
\(323\) 7.16982 + 12.4185i 0.398940 + 0.690984i
\(324\) −4.42414 −0.245786
\(325\) −7.17632 16.5378i −0.398071 0.917355i
\(326\) −17.2237 −0.953930
\(327\) −1.14521 1.98356i −0.0633302 0.109691i
\(328\) −2.18463 + 8.15316i −0.120626 + 0.450183i
\(329\) 2.50574 4.34006i 0.138146 0.239275i
\(330\) 0.00322099 0.107030i 0.000177310 0.00589179i
\(331\) 17.5522 4.70310i 0.964756 0.258506i 0.258144 0.966107i \(-0.416889\pi\)
0.706612 + 0.707601i \(0.250223\pi\)
\(332\) −5.94572 3.43276i −0.326314 0.188397i
\(333\) 20.1541 1.10444
\(334\) −22.4512 12.9622i −1.22848 0.709261i
\(335\) −9.63025 + 5.18020i −0.526157 + 0.283025i
\(336\) 0.497574 + 0.133325i 0.0271449 + 0.00727345i
\(337\) 17.2522 + 17.2522i 0.939788 + 0.939788i 0.998287 0.0584999i \(-0.0186317\pi\)
−0.0584999 + 0.998287i \(0.518632\pi\)
\(338\) 20.4815 + 2.22128i 1.11405 + 0.120822i
\(339\) 0.899302i 0.0488434i
\(340\) 3.44218 + 1.03426i 0.186678 + 0.0560906i
\(341\) −0.715803 1.23981i −0.0387629 0.0671393i
\(342\) 20.6789 5.54089i 1.11819 0.299617i
\(343\) 7.51173i 0.405595i
\(344\) −4.34120 16.2016i −0.234062 0.873530i
\(345\) −1.32820 0.821073i −0.0715078 0.0442051i
\(346\) −7.65777 + 7.65777i −0.411684 + 0.411684i
\(347\) −2.01142 7.50674i −0.107979 0.402983i 0.890687 0.454617i \(-0.150224\pi\)
−0.998666 + 0.0516340i \(0.983557\pi\)
\(348\) 0.228326 + 0.0611797i 0.0122395 + 0.00327958i
\(349\) −1.31241 + 4.89796i −0.0702515 + 0.262182i −0.992115 0.125333i \(-0.960000\pi\)
0.921863 + 0.387515i \(0.126667\pi\)
\(350\) 0.261271 4.33692i 0.0139655 0.231818i
\(351\) −4.03106 1.31715i −0.215162 0.0703044i
\(352\) 0.306166 0.306166i 0.0163187 0.0163187i
\(353\) 22.1857 12.8089i 1.18082 0.681749i 0.224618 0.974447i \(-0.427886\pi\)
0.956205 + 0.292698i \(0.0945531\pi\)
\(354\) 1.03091 0.595199i 0.0547925 0.0316345i
\(355\) 8.02986 + 34.0317i 0.426181 + 1.80622i
\(356\) −3.28851 3.28851i −0.174291 0.174291i
\(357\) 0.170029 0.294499i 0.00899888 0.0155865i
\(358\) −4.49584 + 7.78702i −0.237613 + 0.411557i
\(359\) 10.0443 + 10.0443i 0.530117 + 0.530117i 0.920607 0.390490i \(-0.127694\pi\)
−0.390490 + 0.920607i \(0.627694\pi\)
\(360\) −8.21318 + 13.2859i −0.432873 + 0.700231i
\(361\) −1.57095 + 0.906990i −0.0826817 + 0.0477363i
\(362\) 4.92858 2.84552i 0.259040 0.149557i
\(363\) 1.53145 1.53145i 0.0803801 0.0803801i
\(364\) 0.847017 + 0.552055i 0.0443957 + 0.0289355i
\(365\) 0.263540 8.75710i 0.0137943 0.458368i
\(366\) −0.635270 + 2.37086i −0.0332061 + 0.123927i
\(367\) 19.4366 + 5.20802i 1.01458 + 0.271857i 0.727543 0.686062i \(-0.240662\pi\)
0.287040 + 0.957919i \(0.407329\pi\)
\(368\) −4.36137 16.2769i −0.227352 0.848490i
\(369\) 7.49167 7.49167i 0.390001 0.390001i
\(370\) −12.6823 + 20.5153i −0.659320 + 1.06654i
\(371\) 0.744507 + 2.77854i 0.0386529 + 0.144255i
\(372\) 0.943243i 0.0489049i
\(373\) −25.3125 + 6.78245i −1.31063 + 0.351182i −0.845460 0.534039i \(-0.820673\pi\)
−0.465170 + 0.885221i \(0.654007\pi\)
\(374\) −0.381413 0.660627i −0.0197224 0.0341602i
\(375\) −2.07070 0.760691i −0.106931 0.0392819i
\(376\) 21.5607i 1.11191i
\(377\) −7.07618 4.61200i −0.364442 0.237530i
\(378\) −0.722700 0.722700i −0.0371717 0.0371717i
\(379\) 21.7627 + 5.83130i 1.11787 + 0.299534i 0.770023 0.638016i \(-0.220245\pi\)
0.347852 + 0.937550i \(0.386911\pi\)
\(380\) −1.50123 + 4.99631i −0.0770112 + 0.256306i
\(381\) 0.415627 + 0.239962i 0.0212932 + 0.0122936i
\(382\) −37.2130 −1.90398
\(383\) −20.8938 12.0630i −1.06762 0.616392i −0.140091 0.990139i \(-0.544740\pi\)
−0.927531 + 0.373747i \(0.878073\pi\)
\(384\) 2.60055 0.696814i 0.132709 0.0355591i
\(385\) −0.136709 + 0.128721i −0.00696735 + 0.00656024i
\(386\) −12.5494 + 21.7362i −0.638748 + 1.10634i
\(387\) −5.44905 + 20.3361i −0.276991 + 1.03374i
\(388\) 1.93589 + 3.35305i 0.0982797 + 0.170225i
\(389\) −14.3262 −0.726365 −0.363183 0.931718i \(-0.618310\pi\)
−0.363183 + 0.931718i \(0.618310\pi\)
\(390\) 1.92603 1.62655i 0.0975281 0.0823633i
\(391\) −11.1241 −0.562571
\(392\) 7.90203 + 13.6867i 0.399113 + 0.691284i
\(393\) −0.337408 + 1.25922i −0.0170200 + 0.0635194i
\(394\) −4.52662 + 7.84034i −0.228048 + 0.394991i
\(395\) −24.8972 0.749265i −1.25271 0.0376996i
\(396\) −0.224004 + 0.0600217i −0.0112566 + 0.00301620i
\(397\) 29.0058 + 16.7465i 1.45576 + 0.840484i 0.998799 0.0490017i \(-0.0156040\pi\)
0.456963 + 0.889486i \(0.348937\pi\)
\(398\) −14.7430 −0.739000
\(399\) 0.427464 + 0.246797i 0.0214000 + 0.0123553i
\(400\) −10.6418 21.2954i −0.532092 1.06477i
\(401\) 17.9170 + 4.80084i 0.894731 + 0.239743i 0.676752 0.736211i \(-0.263387\pi\)
0.217979 + 0.975953i \(0.430054\pi\)
\(402\) −1.08126 1.08126i −0.0539285 0.0539285i
\(403\) 10.4683 32.0376i 0.521464 1.59591i
\(404\) 6.92181i 0.344373i
\(405\) 17.0362 9.16394i 0.846536 0.455360i
\(406\) −1.01782 1.76292i −0.0505136 0.0874922i
\(407\) 1.00685 0.269785i 0.0499077 0.0133727i
\(408\) 1.46302i 0.0724301i
\(409\) 1.33873 + 4.99622i 0.0661960 + 0.247047i 0.991093 0.133171i \(-0.0425158\pi\)
−0.924897 + 0.380218i \(0.875849\pi\)
\(410\) 2.91170 + 12.3402i 0.143799 + 0.609440i
\(411\) −0.565822 + 0.565822i −0.0279099 + 0.0279099i
\(412\) 1.93858 + 7.23487i 0.0955068 + 0.356436i
\(413\) −2.01636 0.540281i −0.0992184 0.0265855i
\(414\) −4.29840 + 16.0418i −0.211255 + 0.788414i
\(415\) 30.0058 + 0.903008i 1.47293 + 0.0443269i
\(416\) 10.1790 + 0.550355i 0.499065 + 0.0269834i
\(417\) −1.78909 + 1.78909i −0.0876122 + 0.0876122i
\(418\) 0.958899 0.553620i 0.0469013 0.0270785i
\(419\) 0.872048 0.503477i 0.0426023 0.0245965i −0.478548 0.878062i \(-0.658837\pi\)
0.521150 + 0.853465i \(0.325503\pi\)
\(420\) 0.120412 0.0284114i 0.00587548 0.00138633i
\(421\) 0.294746 + 0.294746i 0.0143650 + 0.0143650i 0.714253 0.699888i \(-0.246767\pi\)
−0.699888 + 0.714253i \(0.746767\pi\)
\(422\) 4.33868 7.51482i 0.211204 0.365816i
\(423\) −13.5314 + 23.4371i −0.657920 + 1.13955i
\(424\) 8.75094 + 8.75094i 0.424983 + 0.424983i
\(425\) −15.3972 + 3.14729i −0.746875 + 0.152666i
\(426\) −4.23451 + 2.44480i −0.205163 + 0.118451i
\(427\) 3.72756 2.15211i 0.180389 0.104148i
\(428\) 5.81326 5.81326i 0.280995 0.280995i
\(429\) −0.108792 0.00588215i −0.00525252 0.000283993i
\(430\) −17.2718 18.3436i −0.832918 0.884606i
\(431\) −1.07449 + 4.01004i −0.0517562 + 0.193157i −0.986964 0.160944i \(-0.948546\pi\)
0.935207 + 0.354100i \(0.115213\pi\)
\(432\) −5.40930 1.44942i −0.260255 0.0697352i
\(433\) 3.88103 + 14.4842i 0.186511 + 0.696067i 0.994302 + 0.106599i \(0.0339960\pi\)
−0.807792 + 0.589468i \(0.799337\pi\)
\(434\) 5.74380 5.74380i 0.275711 0.275711i
\(435\) −1.00595 + 0.237355i −0.0482315 + 0.0113803i
\(436\) −1.53644 5.73407i −0.0735821 0.274612i
\(437\) 16.1466i 0.772399i
\(438\) 1.18338 0.317086i 0.0565441 0.0151509i
\(439\) 6.94098 + 12.0221i 0.331275 + 0.573785i 0.982762 0.184875i \(-0.0591879\pi\)
−0.651487 + 0.758660i \(0.725855\pi\)
\(440\) −0.232464 + 0.773678i −0.0110823 + 0.0368836i
\(441\) 19.8372i 0.944628i
\(442\) 5.57801 17.0711i 0.265319 0.811991i
\(443\) 10.0594 + 10.0594i 0.477938 + 0.477938i 0.904472 0.426533i \(-0.140265\pi\)
−0.426533 + 0.904472i \(0.640265\pi\)
\(444\) −0.663384 0.177753i −0.0314828 0.00843580i
\(445\) 19.4748 + 5.85154i 0.923196 + 0.277389i
\(446\) 25.4834 + 14.7128i 1.20667 + 0.696673i
\(447\) −0.839520 −0.0397079
\(448\) −2.39430 1.38235i −0.113120 0.0653100i
\(449\) −6.42946 + 1.72277i −0.303425 + 0.0813024i −0.407319 0.913286i \(-0.633536\pi\)
0.103894 + 0.994588i \(0.466870\pi\)
\(450\) −1.41091 + 23.4201i −0.0665108 + 1.10404i
\(451\) 0.273982 0.474551i 0.0129013 0.0223457i
\(452\) 0.603263 2.25141i 0.0283751 0.105897i
\(453\) 0.682853 + 1.18274i 0.0320832 + 0.0555698i
\(454\) 10.1212 0.475011
\(455\) −4.40514 0.371351i −0.206516 0.0174092i
\(456\) 2.12357 0.0994451
\(457\) −18.4793 32.0071i −0.864426 1.49723i −0.867616 0.497236i \(-0.834348\pi\)
0.00318917 0.999995i \(-0.498985\pi\)
\(458\) −6.44722 + 24.0614i −0.301259 + 1.12431i
\(459\) −1.84844 + 3.20160i −0.0862780 + 0.149438i
\(460\) −2.77437 2.94653i −0.129355 0.137383i
\(461\) 24.8502 6.65860i 1.15739 0.310122i 0.371468 0.928446i \(-0.378855\pi\)
0.785923 + 0.618324i \(0.212188\pi\)
\(462\) −0.0227398 0.0131288i −0.00105795 0.000610809i
\(463\) 15.9580 0.741632 0.370816 0.928706i \(-0.379078\pi\)
0.370816 + 0.928706i \(0.379078\pi\)
\(464\) −9.65955 5.57694i −0.448433 0.258903i
\(465\) −1.95379 3.63218i −0.0906046 0.168438i
\(466\) 12.6847 + 3.39887i 0.587609 + 0.157449i
\(467\) −18.6259 18.6259i −0.861902 0.861902i 0.129657 0.991559i \(-0.458612\pi\)
−0.991559 + 0.129657i \(0.958612\pi\)
\(468\) −4.57404 2.98119i −0.211435 0.137806i
\(469\) 2.68150i 0.123820i
\(470\) −15.3424 28.5222i −0.707690 1.31563i
\(471\) 0.320738 + 0.555534i 0.0147788 + 0.0255976i
\(472\) −8.67489 + 2.32443i −0.399294 + 0.106991i
\(473\) 1.08889i 0.0500671i
\(474\) −0.901501 3.36445i −0.0414073 0.154534i
\(475\) −4.56829 22.3491i −0.209607 1.02544i
\(476\) 0.623222 0.623222i 0.0285653 0.0285653i
\(477\) −4.02047 15.0046i −0.184085 0.687014i
\(478\) −29.8916 8.00943i −1.36721 0.366343i
\(479\) −4.29638 + 16.0343i −0.196307 + 0.732627i 0.795618 + 0.605799i \(0.207146\pi\)
−0.991925 + 0.126828i \(0.959520\pi\)
\(480\) 0.908170 0.855105i 0.0414521 0.0390300i
\(481\) 20.5593 + 13.3998i 0.937426 + 0.610980i
\(482\) 19.1990 19.1990i 0.874490 0.874490i
\(483\) −0.331609 + 0.191455i −0.0150888 + 0.00871149i
\(484\) 4.86130 2.80667i 0.220968 0.127576i
\(485\) −14.3999 8.90183i −0.653867 0.404211i
\(486\) 5.86681 + 5.86681i 0.266124 + 0.266124i
\(487\) −13.1399 + 22.7590i −0.595425 + 1.03131i 0.398062 + 0.917359i \(0.369683\pi\)
−0.993487 + 0.113948i \(0.963650\pi\)
\(488\) 9.25893 16.0369i 0.419132 0.725958i
\(489\) 1.51637 + 1.51637i 0.0685724 + 0.0685724i
\(490\) 20.1928 + 12.4829i 0.912217 + 0.563919i
\(491\) −36.0301 + 20.8020i −1.62602 + 0.938781i −0.640752 + 0.767748i \(0.721377\pi\)
−0.985265 + 0.171034i \(0.945289\pi\)
\(492\) −0.312668 + 0.180519i −0.0140961 + 0.00813842i
\(493\) −5.20655 + 5.20655i −0.234491 + 0.234491i
\(494\) 24.7787 + 8.09647i 1.11485 + 0.364277i
\(495\) 0.738254 0.695118i 0.0331821 0.0312432i
\(496\) 11.5195 42.9915i 0.517242 1.93037i
\(497\) 8.28224 + 2.21922i 0.371509 + 0.0995456i
\(498\) 1.08648 + 4.05480i 0.0486864 + 0.181700i
\(499\) 8.31651 8.31651i 0.372298 0.372298i −0.496015 0.868314i \(-0.665204\pi\)
0.868314 + 0.496015i \(0.165204\pi\)
\(500\) −4.67373 3.29345i −0.209016 0.147287i
\(501\) 0.835410 + 3.11779i 0.0373234 + 0.139293i
\(502\) 15.7730i 0.703982i
\(503\) −10.3108 + 2.76277i −0.459736 + 0.123186i −0.481251 0.876583i \(-0.659818\pi\)
0.0215156 + 0.999769i \(0.493151\pi\)
\(504\) 1.91512 + 3.31708i 0.0853062 + 0.147755i
\(505\) −14.3375 26.6541i −0.638010 1.18609i
\(506\) 0.858953i 0.0381851i
\(507\) −1.60762 1.99875i −0.0713971 0.0887674i
\(508\) 0.879556 + 0.879556i 0.0390240 + 0.0390240i
\(509\) −2.91197 0.780260i −0.129071 0.0345844i 0.193705 0.981060i \(-0.437949\pi\)
−0.322776 + 0.946475i \(0.604616\pi\)
\(510\) −1.04107 1.93540i −0.0460993 0.0857008i
\(511\) −1.86056 1.07419i −0.0823062 0.0475195i
\(512\) −9.00279 −0.397871
\(513\) −4.64712 2.68301i −0.205175 0.118458i
\(514\) 4.21162 1.12850i 0.185767 0.0497760i
\(515\) −22.4509 23.8441i −0.989304 1.05070i
\(516\) 0.358718 0.621318i 0.0157917 0.0273520i
\(517\) −0.362267 + 1.35200i −0.0159325 + 0.0594608i
\(518\) 2.95721 + 5.12203i 0.129932 + 0.225049i
\(519\) 1.34838 0.0591871
\(520\) −17.2118 + 8.09242i −0.754786 + 0.354876i
\(521\) −5.84796 −0.256204 −0.128102 0.991761i \(-0.540888\pi\)
−0.128102 + 0.991761i \(0.540888\pi\)
\(522\) 5.49642 + 9.52007i 0.240572 + 0.416682i
\(523\) 0.767497 2.86434i 0.0335603 0.125249i −0.947113 0.320899i \(-0.896015\pi\)
0.980674 + 0.195650i \(0.0626817\pi\)
\(524\) −1.68940 + 2.92613i −0.0738020 + 0.127829i
\(525\) −0.404823 + 0.358819i −0.0176679 + 0.0156601i
\(526\) 9.45590 2.53370i 0.412297 0.110475i
\(527\) −25.4453 14.6909i −1.10842 0.639944i
\(528\) −0.143873 −0.00626129
\(529\) −9.07083 5.23704i −0.394384 0.227698i
\(530\) 17.8035 + 5.34936i 0.773336 + 0.232361i
\(531\) 10.8887 + 2.91762i 0.472529 + 0.126614i
\(532\) 0.904605 + 0.904605i 0.0392196 + 0.0392196i
\(533\) 12.6233 2.66133i 0.546776 0.115275i
\(534\) 2.84359i 0.123054i
\(535\) −10.3441 + 34.4266i −0.447212 + 1.48839i
\(536\) 5.76825 + 9.99091i 0.249151 + 0.431542i
\(537\) 1.08138 0.289755i 0.0466650 0.0125038i
\(538\) 33.6329i 1.45002i
\(539\) −0.265543 0.991021i −0.0114378 0.0426863i
\(540\) −1.30904 + 0.308870i −0.0563320 + 0.0132916i
\(541\) −15.4678 + 15.4678i −0.665013 + 0.665013i −0.956557 0.291544i \(-0.905831\pi\)
0.291544 + 0.956557i \(0.405831\pi\)
\(542\) 5.28484 + 19.7233i 0.227003 + 0.847188i
\(543\) −0.684429 0.183392i −0.0293717 0.00787011i
\(544\) 2.29997 8.58362i 0.0986105 0.368020i
\(545\) 17.7937 + 18.8979i 0.762198 + 0.809497i
\(546\) −0.127527 0.604891i −0.00545767 0.0258870i
\(547\) 1.76989 1.76989i 0.0756751 0.0756751i −0.668256 0.743931i \(-0.732959\pi\)
0.743931 + 0.668256i \(0.232959\pi\)
\(548\) −1.79610 + 1.03698i −0.0767256 + 0.0442976i
\(549\) −20.1295 + 11.6218i −0.859106 + 0.496005i
\(550\) 0.243019 + 1.18890i 0.0103624 + 0.0506950i
\(551\) −7.55729 7.55729i −0.321952 0.321952i
\(552\) −0.823688 + 1.42667i −0.0350585 + 0.0607231i
\(553\) −3.05402 + 5.28972i −0.129870 + 0.224942i
\(554\) 23.8419 + 23.8419i 1.01295 + 1.01295i
\(555\) 2.92271 0.689619i 0.124062 0.0292727i
\(556\) −5.67915 + 3.27886i −0.240850 + 0.139055i
\(557\) 8.17068 4.71734i 0.346203 0.199880i −0.316809 0.948489i \(-0.602611\pi\)
0.663012 + 0.748609i \(0.269278\pi\)
\(558\) −31.0175 + 31.0175i −1.31308 + 1.31308i
\(559\) −19.0795 + 17.1222i −0.806978 + 0.724191i
\(560\) −5.83514 0.175605i −0.246580 0.00742067i
\(561\) −0.0245819 + 0.0917409i −0.00103785 + 0.00387330i
\(562\) 9.14960 + 2.45163i 0.385953 + 0.103416i
\(563\) −2.53443 9.45863i −0.106814 0.398634i 0.891731 0.452566i \(-0.149491\pi\)
−0.998545 + 0.0539320i \(0.982825\pi\)
\(564\) 0.652105 0.652105i 0.0274586 0.0274586i
\(565\) 2.34045 + 9.91916i 0.0984633 + 0.417302i
\(566\) 0.630795 + 2.35416i 0.0265143 + 0.0989527i
\(567\) 4.74366i 0.199215i
\(568\) 35.6324 9.54766i 1.49510 0.400611i
\(569\) 3.20931 + 5.55868i 0.134541 + 0.233032i 0.925422 0.378938i \(-0.123711\pi\)
−0.790881 + 0.611970i \(0.790377\pi\)
\(570\) 2.80922 1.51111i 0.117665 0.0632934i
\(571\) 1.72174i 0.0720527i −0.999351 0.0360264i \(-0.988530\pi\)
0.999351 0.0360264i \(-0.0114700\pi\)
\(572\) −0.268415 0.0877049i −0.0112230 0.00366713i
\(573\) 3.27622 + 3.27622i 0.136866 + 0.136866i
\(574\) 3.00322 + 0.804709i 0.125352 + 0.0335879i
\(575\) 16.7867 + 5.59965i 0.700052 + 0.233521i
\(576\) 12.9297 + 7.46495i 0.538736 + 0.311040i
\(577\) 24.8642 1.03511 0.517554 0.855650i \(-0.326843\pi\)
0.517554 + 0.855650i \(0.326843\pi\)
\(578\) 9.77275 + 5.64230i 0.406493 + 0.234689i
\(579\) 3.01849 0.808803i 0.125444 0.0336127i
\(580\) −2.67762 0.0805813i −0.111182 0.00334596i
\(581\) 3.68068 6.37512i 0.152700 0.264484i
\(582\) 0.612715 2.28668i 0.0253979 0.0947861i
\(583\) −0.401707 0.695777i −0.0166370 0.0288161i
\(584\) −9.24291 −0.382474
\(585\) 23.7885 + 2.00536i 0.983534 + 0.0829114i
\(586\) 4.42437 0.182769
\(587\) 13.3836 + 23.1811i 0.552400 + 0.956785i 0.998101 + 0.0616029i \(0.0196212\pi\)
−0.445701 + 0.895182i \(0.647045\pi\)
\(588\) −0.174959 + 0.652955i −0.00721517 + 0.0269274i
\(589\) 21.3238 36.9338i 0.878630 1.52183i
\(590\) −9.82180 + 9.24791i −0.404357 + 0.380731i
\(591\) 1.08878 0.291739i 0.0447866 0.0120005i
\(592\) 28.0651 + 16.2034i 1.15347 + 0.665956i
\(593\) −19.8452 −0.814944 −0.407472 0.913218i \(-0.633590\pi\)
−0.407472 + 0.913218i \(0.633590\pi\)
\(594\) 0.247213 + 0.142728i 0.0101433 + 0.00585621i
\(595\) −1.10895 + 3.69077i −0.0454627 + 0.151307i
\(596\) −2.10174 0.563161i −0.0860908 0.0230680i
\(597\) 1.29797 + 1.29797i 0.0531224 + 0.0531224i
\(598\) −15.0506 + 13.5066i −0.615464 + 0.552325i
\(599\) 36.5285i 1.49252i 0.665657 + 0.746258i \(0.268151\pi\)
−0.665657 + 0.746258i \(0.731849\pi\)
\(600\) −0.736451 + 2.20774i −0.0300655 + 0.0901306i
\(601\) −14.9478 25.8903i −0.609732 1.05609i −0.991284 0.131740i \(-0.957944\pi\)
0.381552 0.924347i \(-0.375390\pi\)
\(602\) −5.96785 + 1.59908i −0.243231 + 0.0651736i
\(603\) 14.4806i 0.589695i
\(604\) 0.916132 + 3.41905i 0.0372769 + 0.139119i
\(605\) −12.9060 + 20.8772i −0.524703 + 0.848780i
\(606\) 2.99266 2.99266i 0.121568 0.121568i
\(607\) 4.62475 + 17.2598i 0.187713 + 0.700553i 0.994034 + 0.109075i \(0.0347888\pi\)
−0.806321 + 0.591478i \(0.798544\pi\)
\(608\) 12.4591 + 3.33841i 0.505283 + 0.135390i
\(609\) −0.0655981 + 0.244816i −0.00265817 + 0.00992043i
\(610\) 0.836730 27.8035i 0.0338782 1.12573i
\(611\) −29.3862 + 14.9118i −1.18884 + 0.603266i
\(612\) −3.36551 + 3.36551i −0.136043 + 0.136043i
\(613\) 13.3148 7.68729i 0.537779 0.310487i −0.206399 0.978468i \(-0.566175\pi\)
0.744178 + 0.667981i \(0.232841\pi\)
\(614\) −2.91107 + 1.68071i −0.117481 + 0.0678278i
\(615\) 0.830084 1.34277i 0.0334722 0.0541459i
\(616\) 0.140078 + 0.140078i 0.00564390 + 0.00564390i
\(617\) −0.621849 + 1.07707i −0.0250347 + 0.0433614i −0.878271 0.478163i \(-0.841303\pi\)
0.853237 + 0.521524i \(0.174636\pi\)
\(618\) 2.28986 3.96616i 0.0921117 0.159542i
\(619\) −28.7865 28.7865i −1.15703 1.15703i −0.985112 0.171915i \(-0.945005\pi\)
−0.171915 0.985112i \(-0.554995\pi\)
\(620\) −2.45480 10.4038i −0.0985872 0.417827i
\(621\) 3.60504 2.08137i 0.144665 0.0835226i
\(622\) −29.1854 + 16.8502i −1.17023 + 0.675631i
\(623\) 3.52601 3.52601i 0.141266 0.141266i
\(624\) −2.26233 2.52095i −0.0905658 0.100919i
\(625\) 24.8192 + 3.00128i 0.992768 + 0.120051i
\(626\) −8.33343 + 31.1008i −0.333071 + 1.24304i
\(627\) −0.133162 0.0356806i −0.00531797 0.00142495i
\(628\) 0.430310 + 1.60594i 0.0171712 + 0.0640839i
\(629\) 15.1272 15.1272i 0.603163 0.603163i
\(630\) 4.89388 + 3.02533i 0.194977 + 0.120532i
\(631\) −5.36381 20.0180i −0.213530 0.796904i −0.986679 0.162680i \(-0.947986\pi\)
0.773149 0.634224i \(-0.218680\pi\)
\(632\) 26.2784i 1.04530i
\(633\) −1.04358 + 0.279626i −0.0414785 + 0.0111141i
\(634\) −6.96483 12.0634i −0.276609 0.479101i
\(635\) −5.20880 1.56507i −0.206705 0.0621080i
\(636\) 0.529346i 0.0209899i
\(637\) 13.1892 20.2361i 0.522574 0.801784i
\(638\) 0.402025 + 0.402025i 0.0159163 + 0.0159163i
\(639\) −44.7256 11.9842i −1.76932 0.474087i
\(640\) −26.8701 + 14.4537i −1.06213 + 0.571332i
\(641\) −15.3071 8.83753i −0.604592 0.349061i 0.166254 0.986083i \(-0.446833\pi\)
−0.770846 + 0.637022i \(0.780166\pi\)
\(642\) −5.02675 −0.198390
\(643\) 2.31145 + 1.33452i 0.0911547 + 0.0526282i 0.544884 0.838511i \(-0.316574\pi\)
−0.453730 + 0.891139i \(0.649907\pi\)
\(644\) −0.958617 + 0.256861i −0.0377748 + 0.0101217i
\(645\) −0.0943630 + 3.13556i −0.00371554 + 0.123463i
\(646\) 11.3623 19.6801i 0.447043 0.774302i
\(647\) 10.9143 40.7326i 0.429084 1.60136i −0.325755 0.945454i \(-0.605619\pi\)
0.754839 0.655910i \(-0.227715\pi\)
\(648\) −10.2042 17.6742i −0.400860 0.694309i
\(649\) 0.583029 0.0228859
\(650\) −17.0106 + 22.9530i −0.667212 + 0.900292i
\(651\) −1.01136 −0.0396385
\(652\) 2.77904 + 4.81343i 0.108835 + 0.188508i
\(653\) 6.53917 24.4045i 0.255898 0.955023i −0.711691 0.702492i \(-0.752070\pi\)
0.967589 0.252531i \(-0.0812629\pi\)
\(654\) −1.81485 + 3.14342i −0.0709664 + 0.122917i
\(655\) 0.444408 14.7671i 0.0173644 0.576999i
\(656\) 16.4555 4.40924i 0.642479 0.172152i
\(657\) 10.0473 + 5.80083i 0.391984 + 0.226312i
\(658\) −7.94187 −0.309606
\(659\) 32.7551 + 18.9112i 1.27596 + 0.736675i 0.976103 0.217310i \(-0.0697281\pi\)
0.299856 + 0.953985i \(0.403061\pi\)
\(660\) −0.0304309 + 0.0163691i −0.00118452 + 0.000637165i
\(661\) −16.6205 4.45346i −0.646463 0.173219i −0.0793341 0.996848i \(-0.525279\pi\)
−0.567129 + 0.823629i \(0.691946\pi\)
\(662\) −20.3625 20.3625i −0.791409 0.791409i
\(663\) −1.99402 + 1.01185i −0.0774415 + 0.0392970i
\(664\) 31.6705i 1.22905i
\(665\) −5.35715 1.60964i −0.207741 0.0624193i
\(666\) −15.9694 27.6599i −0.618804 1.07180i
\(667\) 8.00852 2.14588i 0.310091 0.0830887i
\(668\) 8.36582i 0.323683i
\(669\) −0.948235 3.53886i −0.0366609 0.136820i
\(670\) 14.7401 + 9.11214i 0.569461 + 0.352033i
\(671\) −0.850052 + 0.850052i −0.0328159 + 0.0328159i
\(672\) −0.0791687 0.295461i −0.00305400 0.0113977i
\(673\) 30.3909 + 8.14322i 1.17148 + 0.313898i 0.791543 0.611113i \(-0.209278\pi\)
0.379940 + 0.925011i \(0.375945\pi\)
\(674\) 10.0072 37.3474i 0.385464 1.43857i
\(675\) 4.40098 3.90085i 0.169394 0.150144i
\(676\) −2.68392 6.08229i −0.103228 0.233934i
\(677\) −28.8731 + 28.8731i −1.10968 + 1.10968i −0.116494 + 0.993191i \(0.537165\pi\)
−0.993191 + 0.116494i \(0.962835\pi\)
\(678\) −1.23422 + 0.712579i −0.0474001 + 0.0273664i
\(679\) −3.59521 + 2.07570i −0.137972 + 0.0796579i
\(680\) 3.80752 + 16.1368i 0.146012 + 0.618819i
\(681\) −0.891066 0.891066i −0.0341457 0.0341457i
\(682\) −1.13436 + 1.96477i −0.0434369 + 0.0752349i
\(683\) 15.8896 27.5215i 0.607998 1.05308i −0.383572 0.923511i \(-0.625306\pi\)
0.991570 0.129572i \(-0.0413603\pi\)
\(684\) −4.88503 4.88503i −0.186784 0.186784i
\(685\) 4.76837 7.71348i 0.182190 0.294717i
\(686\) 10.3093 5.95206i 0.393610 0.227251i
\(687\) 2.68597 1.55074i 0.102476 0.0591646i
\(688\) −23.9378 + 23.9378i −0.912619 + 0.912619i
\(689\) 5.87480 17.9794i 0.223812 0.684962i
\(690\) −0.0744368 + 2.47344i −0.00283376 + 0.0941623i
\(691\) −6.94735 + 25.9278i −0.264289 + 0.986342i 0.698394 + 0.715713i \(0.253898\pi\)
−0.962684 + 0.270629i \(0.912768\pi\)
\(692\) 3.37567 + 0.904508i 0.128324 + 0.0343842i
\(693\) −0.0643565 0.240182i −0.00244470 0.00912374i
\(694\) −8.70863 + 8.70863i −0.330575 + 0.330575i
\(695\) 15.0773 24.3895i 0.571913 0.925147i
\(696\) 0.282220 + 1.05326i 0.0106975 + 0.0399237i
\(697\) 11.2462i 0.425980i
\(698\) 7.76199 2.07982i 0.293796 0.0787223i
\(699\) −0.817526 1.41600i −0.0309217 0.0535579i
\(700\) −1.25418 + 0.626745i −0.0474035 + 0.0236887i
\(701\) 39.3253i 1.48530i 0.669681 + 0.742649i \(0.266431\pi\)
−0.669681 + 0.742649i \(0.733569\pi\)
\(702\) 1.38640 + 6.57599i 0.0523261 + 0.248195i
\(703\) 21.9572 + 21.9572i 0.828131 + 0.828131i
\(704\) 0.745863 + 0.199854i 0.0281108 + 0.00753226i
\(705\) −1.16035 + 3.86182i −0.0437012 + 0.145445i
\(706\) −35.1585 20.2987i −1.32321 0.763953i
\(707\) −7.42171 −0.279122
\(708\) −0.332676 0.192071i −0.0125027 0.00721845i
\(709\) −36.2309 + 9.70804i −1.36068 + 0.364593i −0.864066 0.503378i \(-0.832090\pi\)
−0.496614 + 0.867972i \(0.665424\pi\)
\(710\) 40.3433 37.9861i 1.51406 1.42559i
\(711\) 16.4923 28.5654i 0.618508 1.07129i
\(712\) 5.55253 20.7223i 0.208090 0.776602i
\(713\) 16.5421 + 28.6518i 0.619507 + 1.07302i
\(714\) −0.538902 −0.0201679
\(715\) 1.21526 0.218253i 0.0454483 0.00816220i
\(716\) 2.90161 0.108438
\(717\) 1.92650 + 3.33680i 0.0719465 + 0.124615i
\(718\) 5.82623 21.7438i 0.217433 0.811471i
\(719\) −14.5578 + 25.2148i −0.542913 + 0.940353i 0.455822 + 0.890071i \(0.349345\pi\)
−0.998735 + 0.0502820i \(0.983988\pi\)
\(720\) 31.5108 + 0.948298i 1.17434 + 0.0353410i
\(721\) −7.75737 + 2.07858i −0.288900 + 0.0774104i
\(722\) 2.48955 + 1.43734i 0.0926514 + 0.0534923i
\(723\) −3.38055 −0.125724
\(724\) −1.59045 0.918247i −0.0591086 0.0341264i
\(725\) 10.4777 5.23598i 0.389132 0.194459i
\(726\) −3.31526 0.888322i −0.123041 0.0329687i
\(727\) 15.6053 + 15.6053i 0.578768 + 0.578768i 0.934564 0.355796i \(-0.115790\pi\)
−0.355796 + 0.934564i \(0.615790\pi\)
\(728\) −0.251799 + 4.65710i −0.00933231 + 0.172603i
\(729\) 24.9204i 0.922977i
\(730\) −12.2273 + 6.57717i −0.452552 + 0.243432i
\(731\) 11.1740 + 19.3539i 0.413284 + 0.715829i
\(732\) 0.765076 0.205002i 0.0282780 0.00757708i
\(733\) 34.8651i 1.28777i 0.765121 + 0.643886i \(0.222679\pi\)
−0.765121 + 0.643886i \(0.777321\pi\)
\(734\) −8.25335 30.8019i −0.304637 1.13692i
\(735\) −0.678777 2.87676i −0.0250371 0.106111i
\(736\) −7.07547 + 7.07547i −0.260805 + 0.260805i
\(737\) −0.193839 0.723416i −0.00714014 0.0266474i
\(738\) −16.2179 4.34557i −0.596989 0.159963i
\(739\) 8.85631 33.0522i 0.325785 1.21584i −0.587736 0.809053i \(-0.699981\pi\)
0.913521 0.406792i \(-0.133353\pi\)
\(740\) 7.77962 + 0.234123i 0.285985 + 0.00860654i
\(741\) −1.46870 2.89432i −0.0539541 0.106326i
\(742\) 3.22341 3.22341i 0.118335 0.118335i
\(743\) −2.70989 + 1.56456i −0.0994162 + 0.0573980i −0.548884 0.835899i \(-0.684947\pi\)
0.449468 + 0.893297i \(0.351614\pi\)
\(744\) −3.76821 + 2.17558i −0.138149 + 0.0797605i
\(745\) 9.25977 2.18486i 0.339252 0.0800472i
\(746\) 29.3652 + 29.3652i 1.07514 + 1.07514i
\(747\) −19.8763 + 34.4268i −0.727236 + 1.25961i
\(748\) −0.123082 + 0.213184i −0.00450032 + 0.00779478i
\(749\) 6.23310 + 6.23310i 0.227753 + 0.227753i
\(750\) 0.596768 + 3.44463i 0.0217909 + 0.125780i
\(751\) 6.28199 3.62691i 0.229233 0.132348i −0.380985 0.924581i \(-0.624415\pi\)
0.610218 + 0.792233i \(0.291082\pi\)
\(752\) −37.6858 + 21.7579i −1.37426 + 0.793430i
\(753\) −1.38865 + 1.38865i −0.0506051 + 0.0506051i
\(754\) −0.722668 + 13.3659i −0.0263180 + 0.486758i
\(755\) −10.6098 11.2682i −0.386131 0.410093i
\(756\) −0.0853627 + 0.318578i −0.00310461 + 0.0115866i
\(757\) −15.9782 4.28134i −0.580737 0.155608i −0.0435205 0.999053i \(-0.513857\pi\)
−0.537216 + 0.843445i \(0.680524\pi\)
\(758\) −9.24108 34.4882i −0.335651 1.25267i
\(759\) 0.0756220 0.0756220i 0.00274490 0.00274490i
\(760\) −23.4226 + 5.52661i −0.849626 + 0.200471i
\(761\) −5.99332 22.3674i −0.217258 0.810817i −0.985360 0.170489i \(-0.945465\pi\)
0.768102 0.640328i \(-0.221201\pi\)
\(762\) 0.760555i 0.0275520i
\(763\) 6.14819 1.64740i 0.222579 0.0596400i
\(764\) 6.00431 + 10.3998i 0.217228 + 0.376251i
\(765\) 5.98855 19.9308i 0.216516 0.720601i
\(766\) 38.2335i 1.38143i
\(767\) 9.16782 + 10.2159i 0.331031 + 0.368873i
\(768\) −1.60998 1.60998i −0.0580951 0.0580951i
\(769\) 5.69177 + 1.52511i 0.205251 + 0.0549967i 0.359979 0.932960i \(-0.382784\pi\)
−0.154729 + 0.987957i \(0.549450\pi\)
\(770\) 0.284984 + 0.0856282i 0.0102701 + 0.00308583i
\(771\) −0.470143 0.271437i −0.0169318