Properties

Label 483.2.y.a.121.3
Level $483$
Weight $2$
Character 483.121
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 121.3
Character \(\chi\) \(=\) 483.121
Dual form 483.2.y.a.4.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09070 - 1.53167i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(-0.502260 + 1.45118i) q^{4} +(-0.0927520 - 1.94710i) q^{5} +(-1.23135 + 1.42106i) q^{6} +(0.850242 + 2.50541i) q^{7} +(-0.837777 + 0.245993i) q^{8} +(-0.888835 + 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.09070 - 1.53167i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(-0.502260 + 1.45118i) q^{4} +(-0.0927520 - 1.94710i) q^{5} +(-1.23135 + 1.42106i) q^{6} +(0.850242 + 2.50541i) q^{7} +(-0.837777 + 0.245993i) q^{8} +(-0.888835 + 0.458227i) q^{9} +(-2.88116 + 2.26577i) q^{10} +(-2.62185 + 3.68187i) q^{11} +(1.52869 + 0.145972i) q^{12} +(0.355241 + 2.47076i) q^{13} +(2.91011 - 4.03494i) q^{14} +(-1.87035 + 0.549185i) q^{15} +(3.70474 + 2.91344i) q^{16} +(-5.23770 - 1.00948i) q^{17} +(1.67130 + 0.861617i) q^{18} +(-5.79587 + 1.11706i) q^{19} +(2.87219 + 0.843351i) q^{20} +(2.23434 - 1.41695i) q^{21} +8.49906 q^{22} +(-4.10511 + 2.47953i) q^{23} +(0.436573 + 0.756166i) q^{24} +(1.19475 - 0.114085i) q^{25} +(3.39693 - 3.23896i) q^{26} +(0.654861 + 0.755750i) q^{27} +(-4.06285 - 0.0245098i) q^{28} +(1.14804 - 1.32491i) q^{29} +(2.88116 + 2.26577i) q^{30} +(-4.23019 - 4.03348i) q^{31} +(0.338587 - 7.10781i) q^{32} +(4.19621 + 1.67991i) q^{33} +(4.16655 + 9.12348i) q^{34} +(4.79944 - 1.88789i) q^{35} +(-0.218545 - 1.52001i) q^{36} +(-4.15434 + 2.14171i) q^{37} +(8.03252 + 7.65899i) q^{38} +(2.31736 - 0.927730i) q^{39} +(0.556680 + 1.60842i) q^{40} +(6.12161 - 3.93412i) q^{41} +(-4.60729 - 1.87681i) q^{42} +(-2.62030 - 0.769389i) q^{43} +(-4.02622 - 5.65404i) q^{44} +(0.974656 + 1.68815i) q^{45} +(8.27527 + 3.58326i) q^{46} +(-2.16886 + 3.75657i) q^{47} +(1.95789 - 4.28717i) q^{48} +(-5.55418 + 4.26041i) q^{49} +(-1.47785 - 1.70553i) q^{50} +(0.253806 + 5.32805i) q^{51} +(-3.76394 - 0.725441i) q^{52} +(3.68627 - 1.47576i) q^{53} +(0.443305 - 1.82733i) q^{54} +(7.41216 + 4.76351i) q^{55} +(-1.32863 - 1.88982i) q^{56} +(2.45200 + 5.36914i) q^{57} +(-3.28149 - 0.313344i) q^{58} +(1.11355 - 0.875706i) q^{59} +(0.142434 - 2.99006i) q^{60} +(2.31332 - 9.53563i) q^{61} +(-1.56410 + 10.8786i) q^{62} +(-1.90377 - 1.83730i) q^{63} +(-3.32633 + 2.13770i) q^{64} +(4.77787 - 0.920859i) q^{65} +(-2.00373 - 8.25949i) q^{66} +(11.0308 - 1.05331i) q^{67} +(4.09563 - 7.09384i) q^{68} +(3.37745 + 3.40482i) q^{69} +(-8.12637 - 5.29204i) q^{70} +(-0.430047 + 0.941672i) q^{71} +(0.631925 - 0.602539i) q^{72} +(-2.04466 + 5.90766i) q^{73} +(7.81154 + 4.02713i) q^{74} +(-0.392542 - 1.13417i) q^{75} +(1.28997 - 8.97193i) q^{76} +(-11.4538 - 3.43833i) q^{77} +(-3.94852 - 2.53756i) q^{78} +(-13.5116 - 5.40925i) q^{79} +(5.32914 - 7.48373i) q^{80} +(0.580057 - 0.814576i) q^{81} +(-12.7026 - 5.08536i) q^{82} +(-12.0350 - 7.73443i) q^{83} +(0.934035 + 3.95411i) q^{84} +(-1.47976 + 10.2920i) q^{85} +(1.67950 + 4.85261i) q^{86} +(-1.55822 - 0.803318i) q^{87} +(1.29081 - 3.72954i) q^{88} +(6.53765 - 6.23363i) q^{89} +(1.52264 - 3.33412i) q^{90} +(-5.88822 + 2.99077i) q^{91} +(-1.53643 - 7.20264i) q^{92} +(-2.92248 + 5.06188i) q^{93} +(8.11940 - 0.775309i) q^{94} +(2.71261 + 11.1815i) q^{95} +(-6.98728 + 1.34669i) q^{96} +(-4.56219 + 2.93194i) q^{97} +(12.5835 + 3.86035i) q^{98} +(0.643261 - 4.47398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09070 1.53167i −0.771240 1.08306i −0.994128 0.108211i \(-0.965488\pi\)
0.222887 0.974844i \(-0.428452\pi\)
\(3\) −0.235759 0.971812i −0.136115 0.561076i
\(4\) −0.502260 + 1.45118i −0.251130 + 0.725592i
\(5\) −0.0927520 1.94710i −0.0414800 0.870771i −0.919726 0.392562i \(-0.871589\pi\)
0.878246 0.478210i \(-0.158714\pi\)
\(6\) −1.23135 + 1.42106i −0.502698 + 0.580145i
\(7\) 0.850242 + 2.50541i 0.321361 + 0.946957i
\(8\) −0.837777 + 0.245993i −0.296199 + 0.0869718i
\(9\) −0.888835 + 0.458227i −0.296278 + 0.152742i
\(10\) −2.88116 + 2.26577i −0.911103 + 0.716499i
\(11\) −2.62185 + 3.68187i −0.790517 + 1.11013i 0.200929 + 0.979606i \(0.435604\pi\)
−0.991446 + 0.130520i \(0.958335\pi\)
\(12\) 1.52869 + 0.145972i 0.441295 + 0.0421385i
\(13\) 0.355241 + 2.47076i 0.0985262 + 0.685265i 0.977891 + 0.209116i \(0.0670585\pi\)
−0.879365 + 0.476149i \(0.842032\pi\)
\(14\) 2.91011 4.03494i 0.777760 1.07838i
\(15\) −1.87035 + 0.549185i −0.482923 + 0.141799i
\(16\) 3.70474 + 2.91344i 0.926184 + 0.728359i
\(17\) −5.23770 1.00948i −1.27033 0.244836i −0.490838 0.871251i \(-0.663309\pi\)
−0.779490 + 0.626415i \(0.784522\pi\)
\(18\) 1.67130 + 0.861617i 0.393930 + 0.203085i
\(19\) −5.79587 + 1.11706i −1.32966 + 0.256272i −0.804106 0.594486i \(-0.797355\pi\)
−0.525558 + 0.850758i \(0.676143\pi\)
\(20\) 2.87219 + 0.843351i 0.642241 + 0.188579i
\(21\) 2.23434 1.41695i 0.487572 0.309203i
\(22\) 8.49906 1.81201
\(23\) −4.10511 + 2.47953i −0.855974 + 0.517018i
\(24\) 0.436573 + 0.756166i 0.0891150 + 0.154352i
\(25\) 1.19475 0.114085i 0.238950 0.0228169i
\(26\) 3.39693 3.23896i 0.666192 0.635213i
\(27\) 0.654861 + 0.755750i 0.126028 + 0.145444i
\(28\) −4.06285 0.0245098i −0.767807 0.00463192i
\(29\) 1.14804 1.32491i 0.213185 0.246029i −0.639078 0.769142i \(-0.720684\pi\)
0.852263 + 0.523113i \(0.175229\pi\)
\(30\) 2.88116 + 2.26577i 0.526025 + 0.413671i
\(31\) −4.23019 4.03348i −0.759764 0.724434i 0.207492 0.978237i \(-0.433470\pi\)
−0.967256 + 0.253803i \(0.918319\pi\)
\(32\) 0.338587 7.10781i 0.0598542 1.25650i
\(33\) 4.19621 + 1.67991i 0.730466 + 0.292434i
\(34\) 4.16655 + 9.12348i 0.714558 + 1.56466i
\(35\) 4.79944 1.88789i 0.811253 0.319112i
\(36\) −0.218545 1.52001i −0.0364241 0.253335i
\(37\) −4.15434 + 2.14171i −0.682970 + 0.352095i −0.764544 0.644572i \(-0.777036\pi\)
0.0815738 + 0.996667i \(0.474005\pi\)
\(38\) 8.03252 + 7.65899i 1.30305 + 1.24245i
\(39\) 2.31736 0.927730i 0.371074 0.148556i
\(40\) 0.556680 + 1.60842i 0.0880189 + 0.254314i
\(41\) 6.12161 3.93412i 0.956035 0.614406i 0.0331369 0.999451i \(-0.489450\pi\)
0.922898 + 0.385044i \(0.125814\pi\)
\(42\) −4.60729 1.87681i −0.710920 0.289598i
\(43\) −2.62030 0.769389i −0.399592 0.117331i 0.0757610 0.997126i \(-0.475861\pi\)
−0.475353 + 0.879795i \(0.657680\pi\)
\(44\) −4.02622 5.65404i −0.606976 0.852378i
\(45\) 0.974656 + 1.68815i 0.145293 + 0.251655i
\(46\) 8.27527 + 3.58326i 1.22012 + 0.528322i
\(47\) −2.16886 + 3.75657i −0.316360 + 0.547952i −0.979726 0.200344i \(-0.935794\pi\)
0.663365 + 0.748296i \(0.269128\pi\)
\(48\) 1.95789 4.28717i 0.282597 0.618800i
\(49\) −5.55418 + 4.26041i −0.793454 + 0.608630i
\(50\) −1.47785 1.70553i −0.209000 0.241199i
\(51\) 0.253806 + 5.32805i 0.0355400 + 0.746076i
\(52\) −3.76394 0.725441i −0.521965 0.100601i
\(53\) 3.68627 1.47576i 0.506348 0.202711i −0.104401 0.994535i \(-0.533293\pi\)
0.610749 + 0.791824i \(0.290868\pi\)
\(54\) 0.443305 1.82733i 0.0603261 0.248668i
\(55\) 7.41216 + 4.76351i 0.999456 + 0.642311i
\(56\) −1.32863 1.88982i −0.177545 0.252538i
\(57\) 2.45200 + 5.36914i 0.324776 + 0.711159i
\(58\) −3.28149 0.313344i −0.430880 0.0411441i
\(59\) 1.11355 0.875706i 0.144972 0.114007i −0.543039 0.839707i \(-0.682726\pi\)
0.688011 + 0.725700i \(0.258484\pi\)
\(60\) 0.142434 2.99006i 0.0183881 0.386015i
\(61\) 2.31332 9.53563i 0.296190 1.22091i −0.608054 0.793896i \(-0.708049\pi\)
0.904244 0.427017i \(-0.140435\pi\)
\(62\) −1.56410 + 10.8786i −0.198641 + 1.38158i
\(63\) −1.90377 1.83730i −0.239853 0.231477i
\(64\) −3.32633 + 2.13770i −0.415791 + 0.267213i
\(65\) 4.77787 0.920859i 0.592622 0.114219i
\(66\) −2.00373 8.25949i −0.246642 1.01667i
\(67\) 11.0308 1.05331i 1.34762 0.128682i 0.603841 0.797105i \(-0.293636\pi\)
0.743782 + 0.668423i \(0.233030\pi\)
\(68\) 4.09563 7.09384i 0.496668 0.860254i
\(69\) 3.37745 + 3.40482i 0.406598 + 0.409892i
\(70\) −8.12637 5.29204i −0.971287 0.632520i
\(71\) −0.430047 + 0.941672i −0.0510372 + 0.111756i −0.933433 0.358753i \(-0.883202\pi\)
0.882396 + 0.470508i \(0.155929\pi\)
\(72\) 0.631925 0.602539i 0.0744731 0.0710099i
\(73\) −2.04466 + 5.90766i −0.239310 + 0.691440i 0.759836 + 0.650115i \(0.225279\pi\)
−0.999146 + 0.0413251i \(0.986842\pi\)
\(74\) 7.81154 + 4.02713i 0.908073 + 0.468144i
\(75\) −0.392542 1.13417i −0.0453268 0.130963i
\(76\) 1.28997 8.97193i 0.147969 1.02915i
\(77\) −11.4538 3.43833i −1.30528 0.391834i
\(78\) −3.94852 2.53756i −0.447082 0.287322i
\(79\) −13.5116 5.40925i −1.52018 0.608588i −0.546692 0.837334i \(-0.684113\pi\)
−0.973486 + 0.228746i \(0.926538\pi\)
\(80\) 5.32914 7.48373i 0.595816 0.836707i
\(81\) 0.580057 0.814576i 0.0644508 0.0905084i
\(82\) −12.7026 5.08536i −1.40277 0.561584i
\(83\) −12.0350 7.73443i −1.32101 0.848964i −0.325682 0.945480i \(-0.605594\pi\)
−0.995331 + 0.0965160i \(0.969230\pi\)
\(84\) 0.934035 + 3.95411i 0.101912 + 0.431429i
\(85\) −1.47976 + 10.2920i −0.160503 + 1.11632i
\(86\) 1.67950 + 4.85261i 0.181106 + 0.523270i
\(87\) −1.55822 0.803318i −0.167059 0.0861247i
\(88\) 1.29081 3.72954i 0.137600 0.397571i
\(89\) 6.53765 6.23363i 0.692989 0.660764i −0.259358 0.965781i \(-0.583511\pi\)
0.952347 + 0.305017i \(0.0986623\pi\)
\(90\) 1.52264 3.33412i 0.160501 0.351447i
\(91\) −5.88822 + 2.99077i −0.617253 + 0.313517i
\(92\) −1.53643 7.20264i −0.160184 0.750927i
\(93\) −2.92248 + 5.06188i −0.303047 + 0.524892i
\(94\) 8.11940 0.775309i 0.837452 0.0799670i
\(95\) 2.71261 + 11.1815i 0.278308 + 1.14720i
\(96\) −6.98728 + 1.34669i −0.713136 + 0.137446i
\(97\) −4.56219 + 2.93194i −0.463220 + 0.297694i −0.751357 0.659896i \(-0.770600\pi\)
0.288137 + 0.957589i \(0.406964\pi\)
\(98\) 12.5835 + 3.86035i 1.27112 + 0.389954i
\(99\) 0.643261 4.47398i 0.0646501 0.449652i
\(100\) −0.434516 + 1.79110i −0.0434516 + 0.179110i
\(101\) −0.379160 + 7.95956i −0.0377279 + 0.792005i 0.898152 + 0.439686i \(0.144910\pi\)
−0.935880 + 0.352320i \(0.885393\pi\)
\(102\) 7.88400 6.20004i 0.780632 0.613896i
\(103\) −2.18643 0.208779i −0.215435 0.0205716i −0.0132197 0.999913i \(-0.504208\pi\)
−0.202215 + 0.979341i \(0.564814\pi\)
\(104\) −0.905403 1.98256i −0.0887820 0.194406i
\(105\) −2.96618 4.21906i −0.289470 0.411738i
\(106\) −6.28099 4.03655i −0.610063 0.392064i
\(107\) −3.86368 + 15.9263i −0.373516 + 1.53965i 0.406356 + 0.913715i \(0.366799\pi\)
−0.779872 + 0.625939i \(0.784716\pi\)
\(108\) −1.42564 + 0.570741i −0.137182 + 0.0549196i
\(109\) −10.7455 2.07103i −1.02923 0.198368i −0.353438 0.935458i \(-0.614987\pi\)
−0.675795 + 0.737090i \(0.736200\pi\)
\(110\) −0.788305 16.5486i −0.0751619 1.57784i
\(111\) 3.06077 + 3.53231i 0.290515 + 0.335272i
\(112\) −4.14944 + 11.7590i −0.392085 + 1.11112i
\(113\) −6.91419 + 15.1400i −0.650432 + 1.42425i 0.240743 + 0.970589i \(0.422609\pi\)
−0.891175 + 0.453659i \(0.850118\pi\)
\(114\) 5.54936 9.61177i 0.519745 0.900225i
\(115\) 5.20867 + 7.76309i 0.485711 + 0.723912i
\(116\) 1.34607 + 2.33146i 0.124979 + 0.216471i
\(117\) −1.44792 2.03332i −0.133860 0.187980i
\(118\) −2.55584 0.750463i −0.235285 0.0690858i
\(119\) −1.92414 13.9809i −0.176385 1.28163i
\(120\) 1.43184 0.920188i 0.130709 0.0840013i
\(121\) −3.08433 8.91159i −0.280394 0.810145i
\(122\) −17.1286 + 6.85726i −1.55075 + 0.620827i
\(123\) −5.26645 5.02155i −0.474860 0.452778i
\(124\) 7.97797 4.11293i 0.716443 0.369352i
\(125\) −1.72003 11.9631i −0.153844 1.07001i
\(126\) −0.737693 + 4.91989i −0.0657189 + 0.438299i
\(127\) 3.33380 + 7.30001i 0.295827 + 0.647771i 0.997930 0.0643041i \(-0.0204828\pi\)
−0.702103 + 0.712075i \(0.747756\pi\)
\(128\) −6.31001 2.52615i −0.557732 0.223282i
\(129\) −0.129942 + 2.72783i −0.0114408 + 0.240172i
\(130\) −6.62167 6.31375i −0.580759 0.553753i
\(131\) 9.56492 + 7.52194i 0.835691 + 0.657195i 0.941433 0.337199i \(-0.109479\pi\)
−0.105742 + 0.994394i \(0.533722\pi\)
\(132\) −4.54544 + 5.24572i −0.395630 + 0.456581i
\(133\) −7.72659 13.5713i −0.669980 1.17678i
\(134\) −13.6446 15.7467i −1.17871 1.36030i
\(135\) 1.41078 1.34518i 0.121421 0.115775i
\(136\) 4.63635 0.442717i 0.397564 0.0379627i
\(137\) −7.76958 13.4573i −0.663800 1.14974i −0.979609 0.200913i \(-0.935609\pi\)
0.315809 0.948823i \(-0.397724\pi\)
\(138\) 1.53128 8.88679i 0.130351 0.756493i
\(139\) 8.33678 0.707116 0.353558 0.935413i \(-0.384972\pi\)
0.353558 + 0.935413i \(0.384972\pi\)
\(140\) 0.329115 + 7.91307i 0.0278153 + 0.668777i
\(141\) 4.16201 + 1.22208i 0.350504 + 0.102917i
\(142\) 1.91138 0.368389i 0.160400 0.0309145i
\(143\) −10.0284 5.17000i −0.838616 0.432337i
\(144\) −4.62792 0.891958i −0.385660 0.0743298i
\(145\) −2.68621 2.11246i −0.223078 0.175430i
\(146\) 11.2787 3.31173i 0.933433 0.274081i
\(147\) 5.44977 + 4.39318i 0.449489 + 0.362344i
\(148\) −1.02146 7.10441i −0.0839635 0.583979i
\(149\) −17.7011 1.69025i −1.45013 0.138471i −0.659934 0.751324i \(-0.729416\pi\)
−0.790197 + 0.612853i \(0.790022\pi\)
\(150\) −1.30904 + 1.83829i −0.106883 + 0.150096i
\(151\) −5.32929 + 4.19100i −0.433692 + 0.341059i −0.811018 0.585022i \(-0.801086\pi\)
0.377326 + 0.926080i \(0.376844\pi\)
\(152\) 4.58085 2.36159i 0.371556 0.191551i
\(153\) 5.11802 1.50279i 0.413768 0.121493i
\(154\) 7.22626 + 21.2937i 0.582309 + 1.71589i
\(155\) −7.46124 + 8.61073i −0.599301 + 0.691631i
\(156\) 0.182392 + 3.82887i 0.0146030 + 0.306555i
\(157\) 4.87359 14.0813i 0.388955 1.12381i −0.565318 0.824873i \(-0.691246\pi\)
0.954273 0.298938i \(-0.0966324\pi\)
\(158\) 6.45194 + 26.5953i 0.513289 + 2.11581i
\(159\) −2.30323 3.23444i −0.182658 0.256507i
\(160\) −13.8711 −1.09660
\(161\) −9.70259 8.17678i −0.764671 0.644421i
\(162\) −1.88033 −0.147733
\(163\) −7.63888 10.7273i −0.598323 0.840227i 0.398720 0.917073i \(-0.369455\pi\)
−0.997043 + 0.0768456i \(0.975515\pi\)
\(164\) 2.63449 + 10.8595i 0.205719 + 0.847987i
\(165\) 2.88175 8.32627i 0.224344 0.648199i
\(166\) 1.27996 + 26.8696i 0.0993439 + 2.08549i
\(167\) −4.96328 + 5.72794i −0.384070 + 0.443241i −0.914560 0.404451i \(-0.867463\pi\)
0.530489 + 0.847692i \(0.322008\pi\)
\(168\) −1.52331 + 1.73672i −0.117526 + 0.133991i
\(169\) 6.49497 1.90709i 0.499613 0.146700i
\(170\) 17.3779 8.95893i 1.33282 0.687119i
\(171\) 4.63971 3.64871i 0.354807 0.279023i
\(172\) 2.43259 3.41610i 0.185484 0.260475i
\(173\) 8.22779 + 0.785659i 0.625548 + 0.0597326i 0.403016 0.915193i \(-0.367962\pi\)
0.222532 + 0.974925i \(0.428568\pi\)
\(174\) 0.469128 + 3.26286i 0.0355645 + 0.247357i
\(175\) 1.30165 + 2.89634i 0.0983959 + 0.218943i
\(176\) −20.4401 + 6.00177i −1.54073 + 0.452400i
\(177\) −1.11355 0.875706i −0.0836996 0.0658221i
\(178\) −16.6785 3.21451i −1.25011 0.240938i
\(179\) 15.7395 + 8.11427i 1.17642 + 0.606489i 0.931744 0.363115i \(-0.118287\pi\)
0.244680 + 0.969604i \(0.421317\pi\)
\(180\) −2.93935 + 0.566513i −0.219086 + 0.0422254i
\(181\) 20.7338 + 6.08801i 1.54113 + 0.452518i 0.938437 0.345452i \(-0.112274\pi\)
0.602698 + 0.797970i \(0.294092\pi\)
\(182\) 11.0031 + 5.75680i 0.815608 + 0.426722i
\(183\) −9.81222 −0.725340
\(184\) 2.82922 3.08712i 0.208573 0.227586i
\(185\) 4.55546 + 7.89029i 0.334924 + 0.580106i
\(186\) 10.9407 1.04471i 0.802209 0.0766017i
\(187\) 17.4492 16.6378i 1.27601 1.21668i
\(188\) −4.36214 5.03418i −0.318142 0.367156i
\(189\) −1.33667 + 2.28327i −0.0972287 + 0.166083i
\(190\) 14.1678 16.3505i 1.02784 1.18619i
\(191\) 9.93017 + 7.80917i 0.718522 + 0.565052i 0.909079 0.416624i \(-0.136787\pi\)
−0.190557 + 0.981676i \(0.561029\pi\)
\(192\) 2.86165 + 2.72858i 0.206522 + 0.196918i
\(193\) −0.789118 + 16.5656i −0.0568020 + 1.19242i 0.773016 + 0.634386i \(0.218747\pi\)
−0.829818 + 0.558034i \(0.811556\pi\)
\(194\) 9.46675 + 3.78991i 0.679673 + 0.272100i
\(195\) −2.02133 4.42609i −0.144750 0.316959i
\(196\) −3.39300 10.2000i −0.242357 0.728569i
\(197\) 2.74620 + 19.1003i 0.195659 + 1.36084i 0.816701 + 0.577061i \(0.195800\pi\)
−0.621043 + 0.783777i \(0.713291\pi\)
\(198\) −7.55427 + 3.89450i −0.536858 + 0.276770i
\(199\) −1.99342 1.90072i −0.141309 0.134738i 0.616128 0.787646i \(-0.288700\pi\)
−0.757437 + 0.652908i \(0.773549\pi\)
\(200\) −0.972869 + 0.389478i −0.0687922 + 0.0275402i
\(201\) −3.62422 10.4715i −0.255633 0.738602i
\(202\) 12.6050 8.10073i 0.886883 0.569965i
\(203\) 4.29555 + 1.74982i 0.301488 + 0.122813i
\(204\) −7.85946 2.30774i −0.550272 0.161574i
\(205\) −8.22793 11.5545i −0.574664 0.807002i
\(206\) 2.06495 + 3.57660i 0.143872 + 0.249194i
\(207\) 2.51258 4.08497i 0.174636 0.283925i
\(208\) −5.88232 + 10.1885i −0.407865 + 0.706444i
\(209\) 11.0830 24.2684i 0.766628 1.67868i
\(210\) −3.22700 + 9.14494i −0.222684 + 0.631061i
\(211\) 6.97455 + 8.04906i 0.480148 + 0.554120i 0.943206 0.332208i \(-0.107793\pi\)
−0.463058 + 0.886328i \(0.653248\pi\)
\(212\) 0.290134 + 6.09067i 0.0199265 + 0.418309i
\(213\) 1.01651 + 0.195917i 0.0696505 + 0.0134240i
\(214\) 28.6080 11.4529i 1.95560 0.782905i
\(215\) −1.25504 + 5.17336i −0.0855932 + 0.352820i
\(216\) −0.734537 0.472058i −0.0499789 0.0321195i
\(217\) 6.50884 14.0278i 0.441849 0.952269i
\(218\) 8.54798 + 18.7175i 0.578942 + 1.26771i
\(219\) 6.22318 + 0.594242i 0.420524 + 0.0401551i
\(220\) −10.6356 + 8.36389i −0.717049 + 0.563894i
\(221\) 0.633542 13.2997i 0.0426167 0.894634i
\(222\) 2.07197 8.54078i 0.139062 0.573219i
\(223\) −1.37652 + 9.57390i −0.0921786 + 0.641116i 0.890388 + 0.455203i \(0.150433\pi\)
−0.982566 + 0.185913i \(0.940476\pi\)
\(224\) 18.0959 5.19506i 1.20908 0.347110i
\(225\) −1.00966 + 0.648868i −0.0673106 + 0.0432579i
\(226\) 30.7308 5.92287i 2.04418 0.393983i
\(227\) −0.999624 4.12051i −0.0663474 0.273488i 0.928969 0.370157i \(-0.120696\pi\)
−0.995317 + 0.0966695i \(0.969181\pi\)
\(228\) −9.02314 + 0.861606i −0.597572 + 0.0570612i
\(229\) 9.36632 16.2229i 0.618944 1.07204i −0.370735 0.928739i \(-0.620894\pi\)
0.989679 0.143303i \(-0.0457724\pi\)
\(230\) 6.20943 16.4452i 0.409437 1.08436i
\(231\) −0.641070 + 11.9416i −0.0421793 + 0.785697i
\(232\) −0.635881 + 1.39239i −0.0417476 + 0.0914146i
\(233\) −11.0782 + 10.5631i −0.725759 + 0.692010i −0.959947 0.280182i \(-0.909605\pi\)
0.234188 + 0.972191i \(0.424757\pi\)
\(234\) −1.53513 + 4.43547i −0.100355 + 0.289956i
\(235\) 7.51560 + 3.87456i 0.490264 + 0.252748i
\(236\) 0.711519 + 2.05580i 0.0463159 + 0.133821i
\(237\) −2.07128 + 14.4060i −0.134544 + 0.935773i
\(238\) −19.3155 + 18.1961i −1.25204 + 1.17948i
\(239\) 5.67863 + 3.64943i 0.367320 + 0.236062i 0.711259 0.702930i \(-0.248125\pi\)
−0.343939 + 0.938992i \(0.611761\pi\)
\(240\) −8.52917 3.41457i −0.550556 0.220409i
\(241\) 11.7236 16.4635i 0.755184 1.06051i −0.240764 0.970584i \(-0.577398\pi\)
0.995949 0.0899242i \(-0.0286625\pi\)
\(242\) −10.2856 + 14.4440i −0.661181 + 0.928499i
\(243\) −0.928368 0.371662i −0.0595548 0.0238422i
\(244\) 12.6761 + 8.14641i 0.811502 + 0.521521i
\(245\) 8.81063 + 10.4194i 0.562890 + 0.665671i
\(246\) −1.94726 + 13.5435i −0.124153 + 0.863500i
\(247\) −4.81892 13.9234i −0.306621 0.885922i
\(248\) 4.53616 + 2.33855i 0.288047 + 0.148498i
\(249\) −4.67905 + 13.5192i −0.296522 + 0.856745i
\(250\) −16.4475 + 15.6826i −1.04023 + 0.991857i
\(251\) −3.99789 + 8.75416i −0.252345 + 0.552558i −0.992833 0.119512i \(-0.961867\pi\)
0.740488 + 0.672070i \(0.234594\pi\)
\(252\) 3.62244 1.83992i 0.228192 0.115904i
\(253\) 1.63365 21.6154i 0.102707 1.35895i
\(254\) 7.54505 13.0684i 0.473418 0.819984i
\(255\) 10.3507 0.988374i 0.648188 0.0618944i
\(256\) 4.87748 + 20.1052i 0.304843 + 1.25658i
\(257\) −4.79930 + 0.924990i −0.299372 + 0.0576993i −0.336726 0.941603i \(-0.609319\pi\)
0.0373532 + 0.999302i \(0.488107\pi\)
\(258\) 4.31986 2.77621i 0.268943 0.172839i
\(259\) −8.89807 8.58737i −0.552899 0.533593i
\(260\) −1.06340 + 7.39608i −0.0659490 + 0.458685i
\(261\) −0.413310 + 1.70369i −0.0255832 + 0.105455i
\(262\) 1.08869 22.8545i 0.0672597 1.41195i
\(263\) −3.64485 + 2.86634i −0.224751 + 0.176746i −0.724185 0.689606i \(-0.757784\pi\)
0.499434 + 0.866352i \(0.333541\pi\)
\(264\) −3.92873 0.375148i −0.241797 0.0230888i
\(265\) −3.21537 7.04067i −0.197518 0.432505i
\(266\) −12.3593 + 26.6368i −0.757800 + 1.63320i
\(267\) −7.59923 4.88373i −0.465065 0.298879i
\(268\) −4.01176 + 16.5367i −0.245057 + 1.01014i
\(269\) −2.49847 + 1.00024i −0.152334 + 0.0609855i −0.446577 0.894745i \(-0.647357\pi\)
0.294242 + 0.955731i \(0.404933\pi\)
\(270\) −3.59911 0.693672i −0.219035 0.0422155i
\(271\) 1.44373 + 30.3075i 0.0877001 + 1.84105i 0.431624 + 0.902053i \(0.357941\pi\)
−0.343924 + 0.938997i \(0.611756\pi\)
\(272\) −16.4632 18.9996i −0.998230 1.15202i
\(273\) 4.29466 + 5.01714i 0.259925 + 0.303651i
\(274\) −12.1379 + 26.5783i −0.733278 + 1.60566i
\(275\) −2.71240 + 4.69802i −0.163564 + 0.283301i
\(276\) −6.63738 + 3.19120i −0.399523 + 0.192088i
\(277\) −8.09219 14.0161i −0.486212 0.842144i 0.513662 0.857993i \(-0.328289\pi\)
−0.999874 + 0.0158481i \(0.994955\pi\)
\(278\) −9.09291 12.7692i −0.545357 0.765846i
\(279\) 5.60819 + 1.64671i 0.335753 + 0.0985861i
\(280\) −3.55645 + 2.76226i −0.212538 + 0.165077i
\(281\) −18.9597 + 12.1847i −1.13104 + 0.726875i −0.965777 0.259374i \(-0.916484\pi\)
−0.165263 + 0.986249i \(0.552847\pi\)
\(282\) −2.66768 7.70774i −0.158858 0.458989i
\(283\) 29.1921 11.6868i 1.73529 0.694706i 0.735438 0.677592i \(-0.236976\pi\)
0.999854 0.0171142i \(-0.00544788\pi\)
\(284\) −1.15054 1.09704i −0.0682722 0.0650974i
\(285\) 10.2268 5.27230i 0.605785 0.312304i
\(286\) 3.01922 + 20.9991i 0.178530 + 1.24170i
\(287\) 15.0614 + 11.9922i 0.889049 + 0.707877i
\(288\) 2.95604 + 6.47282i 0.174186 + 0.381415i
\(289\) 10.6322 + 4.25648i 0.625421 + 0.250381i
\(290\) −0.305749 + 6.41846i −0.0179542 + 0.376905i
\(291\) 3.92487 + 3.74236i 0.230080 + 0.219381i
\(292\) −7.54615 5.93436i −0.441605 0.347282i
\(293\) 5.26541 6.07661i 0.307609 0.354999i −0.580805 0.814043i \(-0.697262\pi\)
0.888414 + 0.459043i \(0.151808\pi\)
\(294\) 0.784864 13.1389i 0.0457742 0.766276i
\(295\) −1.80838 2.08698i −0.105288 0.121508i
\(296\) 2.95357 2.81622i 0.171672 0.163689i
\(297\) −4.49952 + 0.429652i −0.261088 + 0.0249309i
\(298\) 16.7177 + 28.9558i 0.968428 + 1.67737i
\(299\) −7.58463 9.26189i −0.438630 0.535629i
\(300\) 1.84305 0.106409
\(301\) −0.300251 7.21909i −0.0173062 0.416102i
\(302\) 12.2319 + 3.59161i 0.703866 + 0.206674i
\(303\) 7.82458 1.50806i 0.449510 0.0866360i
\(304\) −24.7267 12.7475i −1.41817 0.731118i
\(305\) −18.7814 3.61982i −1.07542 0.207271i
\(306\) −7.88400 6.20004i −0.450698 0.354433i
\(307\) −11.2882 + 3.31452i −0.644252 + 0.189169i −0.587507 0.809219i \(-0.699890\pi\)
−0.0567452 + 0.998389i \(0.518072\pi\)
\(308\) 10.7424 14.8946i 0.612107 0.848701i
\(309\) 0.312577 + 2.17402i 0.0177819 + 0.123676i
\(310\) 21.3268 + 2.03646i 1.21128 + 0.115663i
\(311\) 7.79395 10.9451i 0.441954 0.620638i −0.532174 0.846635i \(-0.678625\pi\)
0.974128 + 0.225997i \(0.0725641\pi\)
\(312\) −1.71321 + 1.34729i −0.0969916 + 0.0762750i
\(313\) −31.2913 + 16.1318i −1.76869 + 0.911822i −0.838337 + 0.545152i \(0.816472\pi\)
−0.930351 + 0.366670i \(0.880498\pi\)
\(314\) −26.8836 + 7.89373i −1.51713 + 0.445469i
\(315\) −3.40083 + 3.87725i −0.191615 + 0.218458i
\(316\) 14.6362 16.8910i 0.823348 0.950195i
\(317\) −0.502587 10.5506i −0.0282281 0.592581i −0.968026 0.250850i \(-0.919290\pi\)
0.939798 0.341731i \(-0.111013\pi\)
\(318\) −2.44196 + 7.05559i −0.136938 + 0.395658i
\(319\) 1.86815 + 7.70063i 0.104596 + 0.431152i
\(320\) 4.47085 + 6.27843i 0.249928 + 0.350975i
\(321\) 16.3883 0.914703
\(322\) −1.94155 + 23.7796i −0.108199 + 1.32518i
\(323\) 31.4847 1.75185
\(324\) 0.890760 + 1.25090i 0.0494867 + 0.0694943i
\(325\) 0.706300 + 2.91141i 0.0391784 + 0.161496i
\(326\) −8.09900 + 23.4005i −0.448562 + 1.29603i
\(327\) 0.520702 + 10.9309i 0.0287949 + 0.604479i
\(328\) −4.16078 + 4.80179i −0.229740 + 0.265135i
\(329\) −11.2558 2.23989i −0.620553 0.123489i
\(330\) −15.8962 + 4.66755i −0.875059 + 0.256940i
\(331\) 18.4897 9.53210i 1.01629 0.523932i 0.132183 0.991225i \(-0.457801\pi\)
0.884102 + 0.467294i \(0.154771\pi\)
\(332\) 17.2688 13.5803i 0.947747 0.745316i
\(333\) 2.71114 3.80726i 0.148569 0.208637i
\(334\) 14.1868 + 1.35467i 0.776265 + 0.0741244i
\(335\) −3.07403 21.3803i −0.167952 1.16813i
\(336\) 12.4058 + 1.26018i 0.676793 + 0.0687483i
\(337\) −4.35952 + 1.28007i −0.237478 + 0.0697298i −0.398306 0.917253i \(-0.630402\pi\)
0.160828 + 0.986982i \(0.448584\pi\)
\(338\) −10.0051 7.86809i −0.544205 0.427968i
\(339\) 16.3433 + 3.14991i 0.887645 + 0.171079i
\(340\) −14.1923 7.31665i −0.769686 0.396801i
\(341\) 25.9417 4.99984i 1.40482 0.270757i
\(342\) −10.6491 3.12687i −0.575840 0.169082i
\(343\) −15.3965 10.2931i −0.831332 0.555776i
\(344\) 2.38449 0.128563
\(345\) 6.31627 6.89206i 0.340057 0.371056i
\(346\) −7.77067 13.4592i −0.417754 0.723571i
\(347\) −20.2231 + 1.93107i −1.08563 + 0.103665i −0.622496 0.782623i \(-0.713881\pi\)
−0.463135 + 0.886288i \(0.653275\pi\)
\(348\) 1.94839 1.85779i 0.104445 0.0995879i
\(349\) −17.8426 20.5915i −0.955094 1.10224i −0.994679 0.103021i \(-0.967149\pi\)
0.0395857 0.999216i \(-0.487396\pi\)
\(350\) 3.01653 5.15274i 0.161240 0.275426i
\(351\) −1.63464 + 1.88647i −0.0872506 + 0.100693i
\(352\) 25.2823 + 19.8822i 1.34755 + 1.05973i
\(353\) −16.3494 15.5891i −0.870191 0.829726i 0.116355 0.993208i \(-0.462879\pi\)
−0.986546 + 0.163482i \(0.947727\pi\)
\(354\) −0.126746 + 2.66073i −0.00673648 + 0.141416i
\(355\) 1.87342 + 0.750004i 0.0994308 + 0.0398061i
\(356\) 5.76255 + 12.6182i 0.305415 + 0.668765i
\(357\) −13.1332 + 5.16602i −0.695081 + 0.273415i
\(358\) −4.73864 32.9579i −0.250445 1.74188i
\(359\) −5.99970 + 3.09306i −0.316652 + 0.163245i −0.609224 0.792998i \(-0.708519\pi\)
0.292572 + 0.956243i \(0.405489\pi\)
\(360\) −1.23182 1.17454i −0.0649225 0.0619035i
\(361\) 14.7053 5.88711i 0.773962 0.309848i
\(362\) −13.2895 38.3976i −0.698483 2.01813i
\(363\) −7.93323 + 5.09838i −0.416387 + 0.267595i
\(364\) −1.38274 10.0470i −0.0724750 0.526608i
\(365\) 11.6925 + 3.43322i 0.612012 + 0.179703i
\(366\) 10.7022 + 15.0291i 0.559412 + 0.785584i
\(367\) −4.06408 7.03919i −0.212143 0.367443i 0.740242 0.672341i \(-0.234711\pi\)
−0.952385 + 0.304898i \(0.901378\pi\)
\(368\) −22.4323 2.77396i −1.16936 0.144603i
\(369\) −3.63839 + 6.30187i −0.189407 + 0.328062i
\(370\) 7.11670 15.5834i 0.369980 0.810143i
\(371\) 6.83161 + 7.98087i 0.354679 + 0.414346i
\(372\) −5.87787 6.78342i −0.304753 0.351704i
\(373\) −0.0279380 0.586491i −0.00144658 0.0303674i 0.998029 0.0627601i \(-0.0199903\pi\)
−0.999475 + 0.0323927i \(0.989687\pi\)
\(374\) −44.5155 8.57966i −2.30184 0.443644i
\(375\) −11.2203 + 4.49195i −0.579416 + 0.231963i
\(376\) 0.892926 3.68069i 0.0460491 0.189817i
\(377\) 3.68135 + 2.36586i 0.189599 + 0.121848i
\(378\) 4.95512 0.443009i 0.254864 0.0227859i
\(379\) −8.08241 17.6980i −0.415166 0.909086i −0.995505 0.0947110i \(-0.969807\pi\)
0.580339 0.814375i \(-0.302920\pi\)
\(380\) −17.5889 1.67954i −0.902292 0.0861585i
\(381\) 6.30826 4.96087i 0.323182 0.254153i
\(382\) 1.13027 23.7272i 0.0578295 1.21399i
\(383\) −4.00599 + 16.5129i −0.204697 + 0.843772i 0.773112 + 0.634270i \(0.218699\pi\)
−0.977808 + 0.209502i \(0.932816\pi\)
\(384\) −0.967298 + 6.72770i −0.0493622 + 0.343322i
\(385\) −5.63242 + 22.6207i −0.287055 + 1.15286i
\(386\) 26.2338 16.8594i 1.33527 0.858123i
\(387\) 2.68157 0.516830i 0.136312 0.0262719i
\(388\) −1.96338 8.09317i −0.0996756 0.410868i
\(389\) 31.5922 3.01669i 1.60179 0.152952i 0.744439 0.667690i \(-0.232717\pi\)
0.857348 + 0.514738i \(0.172111\pi\)
\(390\) −4.57466 + 7.92354i −0.231647 + 0.401224i
\(391\) 24.0044 8.84300i 1.21395 0.447210i
\(392\) 3.60513 4.93557i 0.182086 0.249284i
\(393\) 5.05489 11.0687i 0.254985 0.558340i
\(394\) 26.2601 25.0389i 1.32296 1.26144i
\(395\) −9.27913 + 26.8103i −0.466884 + 1.34897i
\(396\) 6.16948 + 3.18059i 0.310028 + 0.159830i
\(397\) 10.9871 + 31.7452i 0.551427 + 1.59324i 0.784064 + 0.620680i \(0.213143\pi\)
−0.232637 + 0.972564i \(0.574735\pi\)
\(398\) −0.737061 + 5.12637i −0.0369455 + 0.256962i
\(399\) −11.3671 + 10.7083i −0.569067 + 0.536087i
\(400\) 4.75861 + 3.05817i 0.237930 + 0.152909i
\(401\) 5.83419 + 2.33566i 0.291346 + 0.116637i 0.512731 0.858549i \(-0.328634\pi\)
−0.221386 + 0.975186i \(0.571058\pi\)
\(402\) −12.0860 + 16.9724i −0.602793 + 0.846504i
\(403\) 8.46300 11.8846i 0.421572 0.592015i
\(404\) −11.3603 4.54799i −0.565198 0.226271i
\(405\) −1.63987 1.05388i −0.0814856 0.0523676i
\(406\) −2.00500 8.48789i −0.0995065 0.421247i
\(407\) 3.00655 20.9110i 0.149029 1.03652i
\(408\) −1.52330 4.40128i −0.0754145 0.217896i
\(409\) −24.2497 12.5016i −1.19907 0.618165i −0.261247 0.965272i \(-0.584134\pi\)
−0.937825 + 0.347107i \(0.887164\pi\)
\(410\) −8.72353 + 25.2050i −0.430824 + 1.24479i
\(411\) −11.2462 + 10.7233i −0.554735 + 0.528939i
\(412\) 1.40113 3.06805i 0.0690287 0.151152i
\(413\) 3.14079 + 2.04534i 0.154548 + 0.100645i
\(414\) −8.99729 + 0.607022i −0.442193 + 0.0298335i
\(415\) −13.9435 + 24.1508i −0.684458 + 1.18552i
\(416\) 17.6819 1.68842i 0.866929 0.0827817i
\(417\) −1.96547 8.10177i −0.0962494 0.396746i
\(418\) −49.2595 + 9.49398i −2.40936 + 0.464366i
\(419\) −16.5108 + 10.6109i −0.806606 + 0.518374i −0.877765 0.479091i \(-0.840967\pi\)
0.0711591 + 0.997465i \(0.477330\pi\)
\(420\) 7.61242 2.18542i 0.371448 0.106637i
\(421\) −2.15555 + 14.9922i −0.105055 + 0.730673i 0.867405 + 0.497603i \(0.165786\pi\)
−0.972460 + 0.233070i \(0.925123\pi\)
\(422\) 4.72139 19.4618i 0.229834 0.947387i
\(423\) 0.206397 4.33280i 0.0100354 0.210668i
\(424\) −2.72524 + 2.14315i −0.132349 + 0.104081i
\(425\) −6.37290 0.608538i −0.309131 0.0295184i
\(426\) −0.808631 1.77065i −0.0391783 0.0857885i
\(427\) 25.8576 2.31178i 1.25134 0.111875i
\(428\) −21.1714 13.6060i −1.02336 0.657673i
\(429\) −2.65998 + 10.9646i −0.128425 + 0.529375i
\(430\) 9.29276 3.72026i 0.448137 0.179407i
\(431\) 23.3836 + 4.50682i 1.12635 + 0.217086i 0.718205 0.695832i \(-0.244964\pi\)
0.408144 + 0.912918i \(0.366176\pi\)
\(432\) 0.224258 + 4.70775i 0.0107896 + 0.226502i
\(433\) −9.37894 10.8239i −0.450723 0.520162i 0.484226 0.874943i \(-0.339101\pi\)
−0.934950 + 0.354780i \(0.884556\pi\)
\(434\) −28.5852 + 5.33070i −1.37213 + 0.255882i
\(435\) −1.41962 + 3.10853i −0.0680654 + 0.149042i
\(436\) 8.40247 14.5535i 0.402405 0.696987i
\(437\) 21.0229 18.9567i 1.00566 0.906822i
\(438\) −5.87743 10.1800i −0.280835 0.486420i
\(439\) 6.24873 + 8.77512i 0.298236 + 0.418814i 0.936317 0.351155i \(-0.114211\pi\)
−0.638081 + 0.769969i \(0.720272\pi\)
\(440\) −7.38153 2.16741i −0.351901 0.103327i
\(441\) 2.98452 6.33188i 0.142120 0.301518i
\(442\) −21.0618 + 13.5356i −1.00181 + 0.643821i
\(443\) −11.0388 31.8945i −0.524469 1.51535i −0.826993 0.562212i \(-0.809951\pi\)
0.302524 0.953142i \(-0.402171\pi\)
\(444\) −6.66333 + 2.66760i −0.316228 + 0.126598i
\(445\) −12.7439 12.1513i −0.604119 0.576027i
\(446\) 16.1654 8.33387i 0.765456 0.394620i
\(447\) 2.53059 + 17.6006i 0.119693 + 0.832481i
\(448\) −8.18401 6.51626i −0.386658 0.307864i
\(449\) −16.0312 35.1034i −0.756558 1.65663i −0.754209 0.656634i \(-0.771979\pi\)
−0.00234931 0.999997i \(-0.500748\pi\)
\(450\) 2.09509 + 0.838746i 0.0987633 + 0.0395389i
\(451\) −1.56501 + 32.8536i −0.0736935 + 1.54702i
\(452\) −18.4981 17.6379i −0.870080 0.829619i
\(453\) 5.32929 + 4.19100i 0.250392 + 0.196910i
\(454\) −5.22097 + 6.02533i −0.245032 + 0.282783i
\(455\) 6.36948 + 11.1876i 0.298606 + 0.524482i
\(456\) −3.37500 3.89496i −0.158049 0.182398i
\(457\) −13.8171 + 13.1746i −0.646337 + 0.616281i −0.940630 0.339434i \(-0.889764\pi\)
0.294293 + 0.955715i \(0.404916\pi\)
\(458\) −35.0640 + 3.34821i −1.63844 + 0.156452i
\(459\) −2.66705 4.61946i −0.124487 0.215618i
\(460\) −13.8818 + 3.65964i −0.647241 + 0.170632i
\(461\) 29.6002 1.37862 0.689309 0.724468i \(-0.257914\pi\)
0.689309 + 0.724468i \(0.257914\pi\)
\(462\) 18.9898 12.0427i 0.883484 0.560279i
\(463\) −8.67159 2.54621i −0.403003 0.118332i 0.0739484 0.997262i \(-0.476440\pi\)
−0.476951 + 0.878930i \(0.658258\pi\)
\(464\) 8.11321 1.56369i 0.376646 0.0725926i
\(465\) 10.1271 + 5.22086i 0.469631 + 0.242112i
\(466\) 28.2622 + 5.44709i 1.30922 + 0.252331i
\(467\) −14.9074 11.7233i −0.689833 0.542491i 0.210553 0.977582i \(-0.432474\pi\)
−0.900386 + 0.435092i \(0.856716\pi\)
\(468\) 3.67794 1.07994i 0.170013 0.0499203i
\(469\) 12.0178 + 26.7410i 0.554930 + 1.23479i
\(470\) −2.26270 15.7374i −0.104370 0.725913i
\(471\) −14.8334 1.41642i −0.683486 0.0652650i
\(472\) −0.717489 + 1.00757i −0.0330251 + 0.0463773i
\(473\) 9.70281 7.63038i 0.446136 0.350845i
\(474\) 24.3245 12.5401i 1.11726 0.575988i
\(475\) −6.79717 + 1.99583i −0.311875 + 0.0915749i
\(476\) 21.2553 + 4.22976i 0.974233 + 0.193871i
\(477\) −2.60025 + 3.00085i −0.119057 + 0.137400i
\(478\) −0.603938 12.6782i −0.0276235 0.579889i
\(479\) 0.146651 0.423721i 0.00670066 0.0193603i −0.941601 0.336731i \(-0.890679\pi\)
0.948302 + 0.317371i \(0.102800\pi\)
\(480\) 3.27022 + 13.4800i 0.149265 + 0.615277i
\(481\) −6.76745 9.50355i −0.308569 0.433324i
\(482\) −38.0036 −1.73102
\(483\) −5.65882 + 11.3568i −0.257485 + 0.516754i
\(484\) 14.4815 0.658250
\(485\) 6.13195 + 8.61111i 0.278437 + 0.391011i
\(486\) 0.443305 + 1.82733i 0.0201087 + 0.0828892i
\(487\) −14.0563 + 40.6129i −0.636950 + 1.84035i −0.103282 + 0.994652i \(0.532934\pi\)
−0.533668 + 0.845694i \(0.679187\pi\)
\(488\) 0.407658 + 8.55779i 0.0184538 + 0.387393i
\(489\) −8.62398 + 9.95261i −0.389990 + 0.450072i
\(490\) 6.34936 24.8594i 0.286835 1.12303i
\(491\) −21.5577 + 6.32991i −0.972886 + 0.285665i −0.729285 0.684211i \(-0.760147\pi\)
−0.243601 + 0.969876i \(0.578329\pi\)
\(492\) 9.93231 5.12046i 0.447783 0.230848i
\(493\) −7.35055 + 5.78053i −0.331052 + 0.260342i
\(494\) −16.0700 + 22.5672i −0.723025 + 1.01535i
\(495\) −8.77096 0.837525i −0.394225 0.0376440i
\(496\) −3.92045 27.2674i −0.176034 1.22434i
\(497\) −2.72492 0.276796i −0.122229 0.0124160i
\(498\) 25.8104 7.57863i 1.15659 0.339606i
\(499\) 17.8040 + 14.0012i 0.797016 + 0.626780i 0.931337 0.364157i \(-0.118643\pi\)
−0.134321 + 0.990938i \(0.542885\pi\)
\(500\) 18.2245 + 3.51249i 0.815025 + 0.157083i
\(501\) 6.73661 + 3.47297i 0.300970 + 0.155161i
\(502\) 17.7690 3.42469i 0.793069 0.152852i
\(503\) −15.7632 4.62849i −0.702847 0.206374i −0.0892676 0.996008i \(-0.528453\pi\)
−0.613579 + 0.789633i \(0.710271\pi\)
\(504\) 2.04690 + 1.07093i 0.0911761 + 0.0477029i
\(505\) 15.5332 0.691221
\(506\) −34.8896 + 21.0737i −1.55103 + 0.936840i
\(507\) −3.38458 5.86227i −0.150315 0.260353i
\(508\) −12.2681 + 1.17146i −0.544308 + 0.0519751i
\(509\) 11.0698 10.5550i 0.490658 0.467842i −0.403894 0.914806i \(-0.632343\pi\)
0.894552 + 0.446964i \(0.147495\pi\)
\(510\) −12.8034 14.7759i −0.566944 0.654288i
\(511\) −16.5396 0.0997776i −0.731668 0.00441390i
\(512\) 16.5728 19.1260i 0.732419 0.845257i
\(513\) −4.63971 3.64871i −0.204848 0.161094i
\(514\) 6.65138 + 6.34208i 0.293380 + 0.279737i
\(515\) −0.203718 + 4.27657i −0.00897689 + 0.188448i
\(516\) −3.89331 1.55865i −0.171394 0.0686156i
\(517\) −8.14479 17.8346i −0.358207 0.784365i
\(518\) −3.44792 + 22.9952i −0.151493 + 1.01035i
\(519\) −1.17626 8.18109i −0.0516322 0.359110i
\(520\) −3.77626 + 1.94680i −0.165600 + 0.0853728i
\(521\) 24.3330 + 23.2015i 1.06605 + 1.01648i 0.999826 + 0.0186717i \(0.00594372\pi\)
0.0662241 + 0.997805i \(0.478905\pi\)
\(522\) 3.06028 1.22515i 0.133945 0.0536235i
\(523\) −9.60092 27.7400i −0.419819 1.21299i −0.934611 0.355672i \(-0.884252\pi\)
0.514792 0.857315i \(-0.327869\pi\)
\(524\) −15.7198 + 10.1025i −0.686722 + 0.441329i
\(525\) 2.50782 1.94780i 0.109450 0.0850090i
\(526\) 8.36573 + 2.45640i 0.364763 + 0.107104i
\(527\) 18.0847 + 25.3964i 0.787783 + 1.10629i
\(528\) 10.6515 + 18.4490i 0.463549 + 0.802890i
\(529\) 10.7038 20.3575i 0.465384 0.885109i
\(530\) −7.27700 + 12.6041i −0.316093 + 0.547489i
\(531\) −0.588492 + 1.28862i −0.0255384 + 0.0559212i
\(532\) 23.5752 4.39641i 1.02211 0.190608i
\(533\) 11.8949 + 13.7274i 0.515225 + 0.594602i
\(534\) 0.808200 + 16.9662i 0.0349742 + 0.734199i
\(535\) 31.3685 + 6.04579i 1.35618 + 0.261382i
\(536\) −8.98221 + 3.59593i −0.387972 + 0.155321i
\(537\) 4.17481 17.2088i 0.180157 0.742615i
\(538\) 4.25711 + 2.73588i 0.183537 + 0.117952i
\(539\) −1.12408 31.6199i −0.0484175 1.36197i
\(540\) 1.24352 + 2.72293i 0.0535127 + 0.117176i
\(541\) −15.5730 1.48704i −0.669535 0.0639328i −0.245247 0.969461i \(-0.578869\pi\)
−0.424287 + 0.905528i \(0.639475\pi\)
\(542\) 44.8465 35.2677i 1.92632 1.51488i
\(543\) 1.02821 21.5847i 0.0441245 0.926288i
\(544\) −8.94863 + 36.8868i −0.383669 + 1.58151i
\(545\) −3.03584 + 21.1147i −0.130041 + 0.904455i
\(546\) 3.00043 12.0502i 0.128407 0.515701i
\(547\) 24.0567 15.4603i 1.02859 0.661036i 0.0864524 0.996256i \(-0.472447\pi\)
0.942140 + 0.335220i \(0.108811\pi\)
\(548\) 23.4314 4.51603i 1.00094 0.192915i
\(549\) 2.31332 + 9.53563i 0.0987301 + 0.406971i
\(550\) 10.1542 0.969613i 0.432978 0.0413444i
\(551\) −5.17388 + 8.96141i −0.220415 + 0.381769i
\(552\) −3.66712 2.02165i −0.156083 0.0860470i
\(553\) 2.06422 38.4514i 0.0877797 1.63512i
\(554\) −12.6419 + 27.6819i −0.537103 + 1.17609i
\(555\) 6.59389 6.28726i 0.279895 0.266879i
\(556\) −4.18722 + 12.0982i −0.177578 + 0.513078i
\(557\) 15.7349 + 8.11189i 0.666708 + 0.343712i 0.758133 0.652100i \(-0.226112\pi\)
−0.0914251 + 0.995812i \(0.529142\pi\)
\(558\) −3.59462 10.3860i −0.152172 0.439673i
\(559\) 0.970135 6.74744i 0.0410323 0.285386i
\(560\) 23.2809 + 6.98871i 0.983797 + 0.295327i
\(561\) −20.2826 13.0349i −0.856333 0.550332i
\(562\) 39.3422 + 15.7502i 1.65955 + 0.664384i
\(563\) 7.36858 10.3477i 0.310549 0.436105i −0.629574 0.776940i \(-0.716771\pi\)
0.940123 + 0.340836i \(0.110710\pi\)
\(564\) −3.86386 + 5.42604i −0.162698 + 0.228477i
\(565\) 30.1204 + 12.0584i 1.26717 + 0.507300i
\(566\) −49.7401 31.9660i −2.09073 1.34363i
\(567\) 2.53404 + 0.760695i 0.106420 + 0.0319462i
\(568\) 0.128638 0.894699i 0.00539755 0.0375408i
\(569\) 6.57757 + 19.0046i 0.275746 + 0.796716i 0.994808 + 0.101770i \(0.0324506\pi\)
−0.719062 + 0.694946i \(0.755428\pi\)
\(570\) −19.2298 9.91367i −0.805449 0.415238i
\(571\) 3.34744 9.67178i 0.140086 0.404751i −0.853034 0.521856i \(-0.825240\pi\)
0.993120 + 0.117104i \(0.0373612\pi\)
\(572\) 12.5395 11.9564i 0.524301 0.499920i
\(573\) 5.24792 11.4913i 0.219235 0.480057i
\(574\) 1.94062 36.1491i 0.0810001 1.50883i
\(575\) −4.62170 + 3.43075i −0.192738 + 0.143072i
\(576\) 1.97701 3.42428i 0.0823753 0.142678i
\(577\) −14.2930 + 1.36482i −0.595027 + 0.0568182i −0.388225 0.921565i \(-0.626912\pi\)
−0.206802 + 0.978383i \(0.566306\pi\)
\(578\) −5.07696 20.9275i −0.211174 0.870470i
\(579\) 16.2847 3.13862i 0.676770 0.130437i
\(580\) 4.41475 2.83719i 0.183312 0.117808i
\(581\) 9.14526 36.7288i 0.379409 1.52377i
\(582\) 1.45121 10.0934i 0.0601547 0.418385i
\(583\) −4.23128 + 17.4416i −0.175242 + 0.722356i
\(584\) 0.259724 5.45228i 0.0107475 0.225617i
\(585\) −3.82478 + 3.00784i −0.158135 + 0.124359i
\(586\) −15.0504 1.43713i −0.621724 0.0593675i
\(587\) 1.75784 + 3.84914i 0.0725539 + 0.158871i 0.942434 0.334393i \(-0.108531\pi\)
−0.869880 + 0.493263i \(0.835804\pi\)
\(588\) −9.11251 + 5.70209i −0.375794 + 0.235150i
\(589\) 29.0233 + 18.6521i 1.19588 + 0.768547i
\(590\) −1.22417 + 5.04610i −0.0503983 + 0.207745i
\(591\) 17.9144 7.17185i 0.736901 0.295010i
\(592\) −21.6305 4.16894i −0.889008 0.171342i
\(593\) 0.140792 + 2.95559i 0.00578165 + 0.121372i 0.999913 + 0.0131918i \(0.00419921\pi\)
−0.994131 + 0.108180i \(0.965498\pi\)
\(594\) 5.56570 + 6.42316i 0.228364 + 0.263546i
\(595\) −27.0438 + 5.04325i −1.10869 + 0.206753i
\(596\) 11.3434 24.8386i 0.464644 1.01743i
\(597\) −1.37717 + 2.38534i −0.0563640 + 0.0976253i
\(598\) −5.91364 + 21.7191i −0.241827 + 0.888160i
\(599\) −19.6825 34.0911i −0.804205 1.39292i −0.916827 0.399286i \(-0.869258\pi\)
0.112622 0.993638i \(-0.464075\pi\)
\(600\) 0.607862 + 0.853622i 0.0248158 + 0.0348490i
\(601\) −11.8138 3.46886i −0.481897 0.141498i 0.0317564 0.999496i \(-0.489890\pi\)
−0.513653 + 0.857998i \(0.671708\pi\)
\(602\) −10.7298 + 8.33374i −0.437314 + 0.339658i
\(603\) −9.32188 + 5.99081i −0.379616 + 0.243965i
\(604\) −3.40523 9.83875i −0.138557 0.400333i
\(605\) −17.0657 + 6.83208i −0.693820 + 0.277764i
\(606\) −10.8441 10.3398i −0.440512 0.420027i
\(607\) 0.427227 0.220251i 0.0173406 0.00893970i −0.449534 0.893263i \(-0.648410\pi\)
0.466875 + 0.884323i \(0.345380\pi\)
\(608\) 5.97746 + 41.5742i 0.242418 + 1.68605i
\(609\) 0.687779 4.58700i 0.0278702 0.185875i
\(610\) 14.9405 + 32.7151i 0.604923 + 1.32460i
\(611\) −10.0520 4.02423i −0.406662 0.162803i
\(612\) −0.389756 + 8.18198i −0.0157549 + 0.330737i
\(613\) 18.7437 + 17.8720i 0.757049 + 0.721845i 0.966695 0.255933i \(-0.0823825\pi\)
−0.209646 + 0.977777i \(0.567231\pi\)
\(614\) 17.3888 + 13.6747i 0.701754 + 0.551866i
\(615\) −9.28900 + 10.7201i −0.374569 + 0.432275i
\(616\) 10.4415 + 0.0629902i 0.420702 + 0.00253795i
\(617\) 24.5611 + 28.3450i 0.988792 + 1.14113i 0.989991 + 0.141127i \(0.0450727\pi\)
−0.00119946 + 0.999999i \(0.500382\pi\)
\(618\) 2.98895 2.84996i 0.120233 0.114642i
\(619\) −39.5235 + 3.77404i −1.58858 + 0.151691i −0.851591 0.524208i \(-0.824362\pi\)
−0.736994 + 0.675899i \(0.763756\pi\)
\(620\) −8.74827 15.1525i −0.351339 0.608537i
\(621\) −4.56218 1.47869i −0.183074 0.0593376i
\(622\) −25.2651 −1.01304
\(623\) 21.1764 + 11.0794i 0.848415 + 0.443887i
\(624\) 11.2881 + 3.31448i 0.451885 + 0.132685i
\(625\) −17.2413 + 3.32299i −0.689653 + 0.132920i
\(626\) 58.8380 + 30.3331i 2.35164 + 1.21235i
\(627\) −26.1972 5.04910i −1.04622 0.201642i
\(628\) 17.9868 + 14.1450i 0.717750 + 0.564445i
\(629\) 23.9212 7.02390i 0.953802 0.280061i
\(630\) 9.64796 + 0.980036i 0.384384 + 0.0390456i
\(631\) −0.782524 5.44257i −0.0311518 0.216665i 0.968299 0.249793i \(-0.0803624\pi\)
−0.999451 + 0.0331272i \(0.989453\pi\)
\(632\) 12.6504 + 1.20796i 0.503205 + 0.0480503i
\(633\) 6.17786 8.67559i 0.245548 0.344824i
\(634\) −15.6119 + 12.2773i −0.620027 + 0.487595i
\(635\) 13.9047 7.16835i 0.551790 0.284467i
\(636\) 5.85058 1.71788i 0.231991 0.0681186i
\(637\) −12.4995 12.2095i −0.495249 0.483760i
\(638\) 9.75725 11.2605i 0.386293 0.445806i
\(639\) −0.0492579 1.03405i −0.00194861 0.0409064i
\(640\) −4.33341 + 12.5206i −0.171293 + 0.494918i
\(641\) −3.46002 14.2624i −0.136663 0.563331i −0.998429 0.0560263i \(-0.982157\pi\)
0.861767 0.507305i \(-0.169358\pi\)
\(642\) −17.8747 25.1014i −0.705456 0.990675i
\(643\) 10.8949 0.429652 0.214826 0.976652i \(-0.431082\pi\)
0.214826 + 0.976652i \(0.431082\pi\)
\(644\) 16.7392 9.97337i 0.659618 0.393006i
\(645\) 5.32342 0.209609
\(646\) −34.3403 48.2242i −1.35110 1.89735i
\(647\) 5.92682 + 24.4307i 0.233007 + 0.960469i 0.961366 + 0.275273i \(0.0887683\pi\)
−0.728359 + 0.685196i \(0.759717\pi\)
\(648\) −0.285578 + 0.825123i −0.0112186 + 0.0324139i
\(649\) 0.304675 + 6.39592i 0.0119595 + 0.251062i
\(650\) 3.68896 4.25729i 0.144693 0.166984i
\(651\) −15.1669 3.01819i −0.594437 0.118292i
\(652\) 19.4040 5.69752i 0.759919 0.223132i
\(653\) 27.9313 14.3996i 1.09304 0.563500i 0.185148 0.982711i \(-0.440723\pi\)
0.907889 + 0.419211i \(0.137693\pi\)
\(654\) 16.1746 12.7198i 0.632476 0.497385i
\(655\) 13.7588 19.3216i 0.537602 0.754956i
\(656\) 34.1408 + 3.26005i 1.33297 + 0.127283i
\(657\) −0.889680 6.18786i −0.0347097 0.241411i
\(658\) 8.84593 + 19.6832i 0.344850 + 0.767333i
\(659\) −25.0222 + 7.34718i −0.974726 + 0.286205i −0.730046 0.683398i \(-0.760501\pi\)
−0.244680 + 0.969604i \(0.578683\pi\)
\(660\) 10.6356 + 8.36389i 0.413988 + 0.325564i
\(661\) −28.6160 5.51528i −1.11303 0.214520i −0.400596 0.916255i \(-0.631197\pi\)
−0.712438 + 0.701735i \(0.752409\pi\)
\(662\) −34.7667 17.9235i −1.35125 0.696616i
\(663\) −13.0742 + 2.51984i −0.507758 + 0.0978623i
\(664\) 11.9853 + 3.51919i 0.465118 + 0.136571i
\(665\) −25.7080 + 16.3032i −0.996914 + 0.632213i
\(666\) −8.78851 −0.340548
\(667\) −1.42767 + 8.28548i −0.0552797 + 0.320815i
\(668\) −5.81943 10.0795i −0.225160 0.389989i
\(669\) 9.62856 0.919416i 0.372262 0.0355467i
\(670\) −29.3948 + 28.0279i −1.13562 + 1.08281i
\(671\) 29.0438 + 33.5183i 1.12122 + 1.29396i
\(672\) −9.31488 16.3610i −0.359329 0.631139i
\(673\) 4.61182 5.32232i 0.177772 0.205160i −0.659869 0.751380i \(-0.729388\pi\)
0.837642 + 0.546220i \(0.183934\pi\)
\(674\) 6.71557 + 5.28118i 0.258674 + 0.203423i
\(675\) 0.868614 + 0.828221i 0.0334330 + 0.0318783i
\(676\) −0.494615 + 10.3832i −0.0190237 + 0.399356i
\(677\) 27.4066 + 10.9719i 1.05332 + 0.421686i 0.832729 0.553680i \(-0.186777\pi\)
0.220592 + 0.975366i \(0.429201\pi\)
\(678\) −13.0010 28.4681i −0.499299 1.09331i
\(679\) −11.2247 8.93730i −0.430764 0.342982i
\(680\) −1.29205 8.98639i −0.0495478 0.344612i
\(681\) −3.76868 + 1.94289i −0.144416 + 0.0744518i
\(682\) −35.9526 34.2808i −1.37670 1.31268i
\(683\) 20.0437 8.02428i 0.766950 0.307040i 0.0450011 0.998987i \(-0.485671\pi\)
0.721949 + 0.691947i \(0.243247\pi\)
\(684\) 2.96460 + 8.56566i 0.113354 + 0.327516i
\(685\) −25.4821 + 16.3764i −0.973622 + 0.625709i
\(686\) 1.02724 + 34.8091i 0.0392202 + 1.32902i
\(687\) −17.9738 5.27759i −0.685744 0.201353i
\(688\) −7.46595 10.4845i −0.284637 0.399716i
\(689\) 4.95576 + 8.58362i 0.188799 + 0.327010i
\(690\) −17.4455 2.15730i −0.664140 0.0821269i
\(691\) 3.80450 6.58958i 0.144730 0.250679i −0.784542 0.620075i \(-0.787102\pi\)
0.929272 + 0.369396i \(0.120435\pi\)
\(692\) −5.27262 + 11.5454i −0.200435 + 0.438892i
\(693\) 11.7561 2.19233i 0.446577 0.0832797i
\(694\) 25.0150 + 28.8689i 0.949557 + 1.09585i
\(695\) −0.773253 16.2326i −0.0293311 0.615736i
\(696\) 1.50305 + 0.289689i 0.0569730 + 0.0109806i
\(697\) −36.0346 + 14.4261i −1.36491 + 0.546426i
\(698\) −12.0785 + 49.7881i −0.457177 + 1.88451i
\(699\) 12.8771 + 8.27561i 0.487057 + 0.313012i
\(700\) −4.85689 + 0.434226i −0.183573 + 0.0164122i
\(701\) 1.48440 + 3.25039i 0.0560652 + 0.122766i 0.935591 0.353085i \(-0.114867\pi\)
−0.879526 + 0.475851i \(0.842140\pi\)
\(702\) 4.67236 + 0.446156i 0.176347 + 0.0168391i
\(703\) 21.6856 17.0537i 0.817888 0.643194i
\(704\) 0.850388 17.8518i 0.0320502 0.672816i
\(705\) 1.99347 8.21721i 0.0750785 0.309478i
\(706\) −6.04516 + 42.0450i −0.227512 + 1.58238i
\(707\) −20.2643 + 5.81760i −0.762119 + 0.218793i
\(708\) 1.83010 1.17614i 0.0687795 0.0442019i
\(709\) −30.5536 + 5.88873i −1.14746 + 0.221156i −0.727318 0.686300i \(-0.759234\pi\)
−0.420147 + 0.907456i \(0.638021\pi\)
\(710\) −0.894577 3.68749i −0.0335729 0.138389i
\(711\) 14.4883 1.38346i 0.543353 0.0518839i
\(712\) −3.94366 + 6.83061i −0.147795 + 0.255988i
\(713\) 27.3665 + 6.06897i 1.02488 + 0.227285i
\(714\) 22.2370 + 14.4811i 0.832198 + 0.541942i
\(715\) −9.13636 + 20.0058i −0.341681 + 0.748176i
\(716\) −19.6806 + 18.7654i −0.735498 + 0.701296i
\(717\) 2.20777 6.37894i 0.0824508 0.238226i
\(718\) 11.2814 + 5.81598i 0.421019 + 0.217050i
\(719\) −4.40023 12.7136i −0.164101 0.474138i 0.832731 0.553678i \(-0.186776\pi\)
−0.996832 + 0.0795397i \(0.974655\pi\)
\(720\) −1.30749 + 9.09376i −0.0487271 + 0.338905i
\(721\) −1.33592 5.65541i −0.0497521 0.210619i
\(722\) −25.0561 16.1026i −0.932493 0.599277i
\(723\) −18.7634 7.51172i −0.697817 0.279364i
\(724\) −19.2486 + 27.0309i −0.715368 + 1.00459i
\(725\) 1.22047 1.71390i 0.0453270 0.0636528i
\(726\) 16.4618 + 6.59031i 0.610955 + 0.244589i
\(727\) 24.1561 + 15.5242i 0.895901 + 0.575760i 0.905572 0.424193i \(-0.139442\pi\)
−0.00967125 + 0.999953i \(0.503079\pi\)
\(728\) 4.19731 3.95406i 0.155563 0.146547i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) −7.49440 21.6537i −0.277380 0.801438i
\(731\) 12.9476 + 6.67498i 0.478886 + 0.246883i
\(732\) 4.92828 14.2393i 0.182155 0.526301i
\(733\) 1.35852 1.29535i 0.0501782 0.0478448i −0.664575 0.747221i \(-0.731387\pi\)
0.714753 + 0.699377i \(0.246539\pi\)
\(734\) −6.34905 + 13.9025i −0.234348 + 0.513150i
\(735\) 8.04851 11.0187i 0.296874 0.406432i
\(736\) 16.2341 + 30.0179i 0.598397 + 1.10647i
\(737\) −25.0428 + 43.3754i −0.922464 + 1.59776i
\(738\) 13.6208 1.30063i 0.501388 0.0478767i
\(739\) 1.76443 + 7.27309i 0.0649057 + 0.267545i 0.995013 0.0997421i \(-0.0318018\pi\)
−0.930108 + 0.367287i \(0.880287\pi\)
\(740\) −13.7383 + 2.64784i −0.505029 + 0.0973364i
\(741\) −12.3948 + 7.96564i −0.455333 + 0.292625i
\(742\) 4.77285 19.1685i 0.175217 0.703698i
\(743\) −7.24127 + 50.3641i −0.265656 + 1.84768i 0.222510 + 0.974930i \(0.428575\pi\)
−0.488166 + 0.872751i \(0.662334\pi\)
\(744\) 1.20319 4.95963i 0.0441112 0.181829i
\(745\) −1.64928 + 34.6227i −0.0604250 + 1.26848i
\(746\) −0.867841 + 0.682477i −0.0317739 + 0.0249873i
\(747\) 14.2413 + 1.35987i 0.521060 + 0.0497552i
\(748\) 15.3805 + 33.6785i 0.562366 + 1.23141i
\(749\) −43.1870 + 3.86110i −1.57802 + 0.141082i
\(750\) 19.1182 + 12.2865i 0.698098 + 0.448640i
\(751\) 1.18036 4.86549i 0.0430718 0.177544i −0.946213 0.323545i \(-0.895125\pi\)
0.989284 + 0.146001i \(0.0466403\pi\)
\(752\) −18.9796 + 7.59828i −0.692114 + 0.277081i
\(753\) 9.44994 + 1.82133i 0.344375 + 0.0663728i
\(754\) −0.391522 8.21907i −0.0142584 0.299321i
\(755\) 8.65462 + 9.98796i 0.314974 + 0.363499i
\(756\) −2.64208 3.08655i −0.0960915 0.112257i
\(757\) 4.59772 10.0676i 0.167107 0.365913i −0.807489 0.589882i \(-0.799174\pi\)
0.974596 + 0.223969i \(0.0719015\pi\)
\(758\) −18.2921 + 31.6828i −0.664398 + 1.15077i
\(759\) −21.3913 + 3.50843i −0.776454 + 0.127348i
\(760\) −5.02315 8.70036i −0.182209 0.315595i
\(761\) 6.19275 + 8.69650i 0.224487 + 0.315248i 0.911424 0.411469i \(-0.134984\pi\)
−0.686936 + 0.726718i \(0.741045\pi\)
\(762\) −14.4788 4.25137i −0.524513 0.154011i
\(763\) −3.94751 28.6828i −0.142909 1.03839i
\(764\) −16.3201 + 10.4883i −0.590439 + 0.379452i
\(765\) −3.40079 9.82594i −0.122956 0.355257i
\(766\) 29.6617 11.8748i 1.07172 0.429053i
\(767\) 2.55924 + 2.44023i 0.0924087 + 0.0881115i
\(768\) 18.3886 9.47998i 0.663542 0.342079i
\(769\) 5.16998 + 35.9580i 0.186434 + 1.29668i 0.841149 + 0.540803i \(0.181880\pi\)
−0.654715 + 0.755876i \(0.727211\pi\)
\(770\) 40.7907 16.0453i 1.46999 0.578233i
\(771\) 2.03040 + 4.44595i 0.0731229 + 0.160117i
\(772\) −23.6434 9.46540i −0.850946 0.340667i
\(773\) −1.66897