Properties

Label 483.2.y.a.4.3
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.3

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09070 + 1.53167i −0.771240 + 1.08306i 0.222887 + 0.974844i \(0.428452\pi\)
−0.994128 + 0.108211i \(0.965488\pi\)
\(3\) −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 0.878246 + 0.478210i \(0.158714\pi\)
−0.919726 + 0.392562i \(0.871589\pi\)
\(6\) −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 −0.991446 0.130520i \(-0.958335\pi\)
0.200929 0.979606i \(-0.435604\pi\)
\(12\) 1.52869 0.145972i 0.441295 0.0421385i
\(13\) 0.355241 2.47076i 0.0985262 0.685265i −0.879365 0.476149i \(-0.842032\pi\)
0.977891 0.209116i \(-0.0670585\pi\)
\(14\) 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 −0.779490 0.626415i \(-0.784522\pi\)
−0.490838 + 0.871251i \(0.663309\pi\)
\(18\) 1.67130 0.861617i 0.393930 0.203085i
\(19\) −5.79587 1.11706i −1.32966 0.256272i −0.525558 0.850758i \(-0.676143\pi\)
−0.804106 + 0.594486i \(0.797355\pi\)
\(20\) 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 0.852263 0.523113i \(-0.175229\pi\)
−0.639078 + 0.769142i \(0.720684\pi\)
\(30\) 2.88116 2.26577i 0.526025 0.413671i
\(31\) −4.23019 + 4.03348i −0.759764 + 0.724434i −0.967256 0.253803i \(-0.918319\pi\)
0.207492 + 0.978237i \(0.433470\pi\)
\(32\) 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 0.0815738 0.996667i \(-0.474005\pi\)
−0.764544 + 0.644572i \(0.777036\pi\)
\(38\) 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 0.922898 0.385044i \(-0.125814\pi\)
0.0331369 + 0.999451i \(0.489450\pi\)
\(42\) −4.60729 + 1.87681i −0.710920 + 0.289598i
\(43\) −2.62030 + 0.769389i −0.399592 + 0.117331i −0.475353 0.879795i \(-0.657680\pi\)
0.0757610 + 0.997126i \(0.475861\pi\)
\(44\) −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 0.663365 0.748296i \(-0.269128\pi\)
−0.979726 + 0.200344i \(0.935794\pi\)
\(48\) 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 0.610749 0.791824i \(-0.290868\pi\)
−0.104401 + 0.994535i \(0.533293\pi\)
\(54\) 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 0.688011 0.725700i \(-0.258484\pi\)
−0.543039 + 0.839707i \(0.682726\pi\)
\(60\) 0.142434 + 2.99006i 0.0183881 + 0.386015i
\(61\) 2.31332 + 9.53563i 0.296190 + 1.22091i 0.904244 + 0.427017i \(0.140435\pi\)
−0.608054 + 0.793896i \(0.708049\pi\)
\(62\) −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 0.743782 0.668423i \(-0.233030\pi\)
0.603841 + 0.797105i \(0.293636\pi\)
\(68\) 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 0.882396 0.470508i \(-0.155929\pi\)
−0.933433 + 0.358753i \(0.883202\pi\)
\(72\) 0.631925 + 0.602539i 0.0744731 + 0.0710099i
\(73\) −2.04466 5.90766i −0.239310 0.691440i −0.999146 0.0413251i \(-0.986842\pi\)
0.759836 0.650115i \(-0.225279\pi\)
\(74\) 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 −0.973486 0.228746i \(-0.926538\pi\)
−0.546692 + 0.837334i \(0.684113\pi\)
\(80\) 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 −0.995331 0.0965160i \(-0.969230\pi\)
−0.325682 + 0.945480i \(0.605594\pi\)
\(84\) 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 0.952347 0.305017i \(-0.0986623\pi\)
−0.259358 + 0.965781i \(0.583511\pi\)
\(90\) 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 0.288137 0.957589i \(-0.406964\pi\)
−0.751357 + 0.659896i \(0.770600\pi\)
\(98\) 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 −0.935880 0.352320i \(-0.885393\pi\)
0.898152 0.439686i \(-0.144910\pi\)
\(102\) 7.88400 + 6.20004i 0.780632 + 0.613896i
\(103\) −2.18643 + 0.208779i −0.215435 + 0.0205716i −0.202215 0.979341i \(-0.564814\pi\)
−0.0132197 + 0.999913i \(0.504208\pi\)
\(104\) −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 −0.779872 0.625939i \(-0.784716\pi\)
0.406356 0.913715i \(-0.366799\pi\)
\(108\) −1.42564 0.570741i −0.137182 0.0549196i
\(109\) −10.7455 + 2.07103i −1.02923 + 0.198368i −0.675795 0.737090i \(-0.736200\pi\)
−0.353438 + 0.935458i \(0.614987\pi\)
\(110\) −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 −0.891175 0.453659i \(-0.850118\pi\)
0.240743 0.970589i \(-0.422609\pi\)
\(114\) 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 −0.702103 0.712075i \(-0.747756\pi\)
0.997930 + 0.0643041i \(0.0204828\pi\)
\(128\) −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 −0.105742 0.994394i \(-0.533722\pi\)
0.941433 + 0.337199i \(0.109479\pi\)
\(132\) −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 0.315809 + 0.948823i \(0.397724\pi\)
−0.979609 + 0.200913i \(0.935609\pi\)
\(138\) 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 −0.790197 0.612853i \(-0.790022\pi\)
−0.659934 + 0.751324i \(0.729416\pi\)
\(150\) −1.30904 1.83829i −0.106883 0.150096i
\(151\) −5.32929 4.19100i −0.433692 0.341059i 0.377326 0.926080i \(-0.376844\pi\)
−0.811018 + 0.585022i \(0.801086\pi\)
\(152\) 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 0.954273 + 0.298938i \(0.0966324\pi\)
−0.565318 + 0.824873i \(0.691246\pi\)
\(158\) 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 −0.997043 0.0768456i \(-0.975515\pi\)
0.398720 + 0.917073i \(0.369455\pi\)
\(164\) 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 0.530489 0.847692i \(-0.322008\pi\)
−0.914560 + 0.404451i \(0.867463\pi\)
\(168\) −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 0.222532 0.974925i \(-0.428568\pi\)
0.403016 + 0.915193i \(0.367962\pi\)
\(174\) 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 0.244680 0.969604i \(-0.421317\pi\)
0.931744 + 0.363115i \(0.118287\pi\)
\(180\) −2.93935 0.566513i −0.219086 0.0422254i
\(181\) 20.7338 6.08801i 1.54113 0.452518i 0.602698 0.797970i \(-0.294092\pi\)
0.938437 + 0.345452i \(0.112274\pi\)
\(182\) 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 −0.190557 0.981676i \(-0.561029\pi\)
0.909079 + 0.416624i \(0.136787\pi\)
\(192\) 2.86165 2.72858i 0.206522 0.196918i
\(193\) −0.789118 16.5656i −0.0568020 1.19242i −0.829818 0.558034i \(-0.811556\pi\)
0.773016 0.634386i \(-0.218747\pi\)
\(194\) 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 −0.621043 0.783777i \(-0.713291\pi\)
0.816701 0.577061i \(-0.195800\pi\)
\(198\) −7.55427 3.89450i −0.536858 0.276770i
\(199\) −1.99342 + 1.90072i −0.141309 + 0.134738i −0.757437 0.652908i \(-0.773549\pi\)
0.616128 + 0.787646i \(0.288700\pi\)
\(200\) −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 −0.463058 0.886328i \(-0.653248\pi\)
0.943206 + 0.332208i \(0.107793\pi\)
\(212\) 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 −0.982566 0.185913i \(-0.940476\pi\)
0.890388 0.455203i \(-0.150433\pi\)
\(224\) 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 −0.995317 0.0966695i \(-0.969181\pi\)
0.928969 + 0.370157i \(0.120696\pi\)
\(228\) −9.02314 0.861606i −0.597572 0.0570612i
\(229\) 9.36632 + 16.2229i 0.618944 + 1.07204i 0.989679 + 0.143303i \(0.0457724\pi\)
−0.370735 + 0.928739i \(0.620894\pi\)
\(230\) 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 0.234188 0.972191i \(-0.424757\pi\)
−0.959947 + 0.280182i \(0.909605\pi\)
\(234\) −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 −0.343939 0.938992i \(-0.611761\pi\)
0.711259 + 0.702930i \(0.248125\pi\)
\(240\) −8.52917 + 3.41457i −0.550556 + 0.220409i
\(241\) 11.7236 + 16.4635i 0.755184 + 1.06051i 0.995949 + 0.0899242i \(0.0286625\pi\)
−0.240764 + 0.970584i \(0.577398\pi\)
\(242\) −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 0.740488 0.672070i \(-0.234594\pi\)
−0.992833 + 0.119512i \(0.961867\pi\)
\(252\) 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 0.0373532 0.999302i \(-0.488107\pi\)
−0.336726 + 0.941603i \(0.609319\pi\)
\(258\) 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 0.499434 0.866352i \(-0.333541\pi\)
−0.724185 + 0.689606i \(0.757784\pi\)
\(264\) −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 0.294242 0.955731i \(-0.404933\pi\)
−0.446577 + 0.894745i \(0.647357\pi\)
\(270\) −3.59911 + 0.693672i −0.219035 + 0.0422155i
\(271\) 1.44373 30.3075i 0.0877001 1.84105i −0.343924 0.938997i \(-0.611756\pi\)
0.431624 0.902053i \(-0.357941\pi\)
\(272\) −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 −0.999874 0.0158481i \(-0.994955\pi\)
0.513662 + 0.857993i \(0.328289\pi\)
\(278\) −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 −0.165263 0.986249i \(-0.552847\pi\)
−0.965777 + 0.259374i \(0.916484\pi\)
\(282\) −2.66768 + 7.70774i −0.158858 + 0.458989i
\(283\) 29.1921 + 11.6868i 1.73529 + 0.694706i 0.999854 + 0.0171142i \(0.00544788\pi\)
0.735438 + 0.677592i \(0.236976\pi\)
\(284\) −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 0.888414 0.459043i \(-0.151808\pi\)
−0.580805 + 0.814043i \(0.697262\pi\)
\(294\) 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 −0.0567452 0.998389i \(-0.518072\pi\)
−0.587507 + 0.809219i \(0.699890\pi\)
\(308\) 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 0.974128 0.225997i \(-0.0725641\pi\)
−0.532174 + 0.846635i \(0.678625\pi\)
\(312\) −1.71321 1.34729i −0.0969916 0.0762750i
\(313\) −31.2913 16.1318i −1.76869 0.911822i −0.930351 0.366670i \(-0.880498\pi\)
−0.838337 0.545152i \(-0.816472\pi\)
\(314\) −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 0.939798 + 0.341731i \(0.111013\pi\)
−0.968026 + 0.250850i \(0.919290\pi\)
\(318\) −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 0.884102 0.467294i \(-0.154771\pi\)
0.132183 + 0.991225i \(0.457801\pi\)
\(332\) 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 0.160828 0.986982i \(-0.448584\pi\)
−0.398306 + 0.917253i \(0.630402\pi\)
\(338\) −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 −0.463135 0.886288i \(-0.653275\pi\)
−0.622496 + 0.782623i \(0.713881\pi\)
\(348\) 1.94839 + 1.85779i 0.104445 + 0.0995879i
\(349\) −17.8426 + 20.5915i −0.955094 + 1.10224i 0.0395857 + 0.999216i \(0.487396\pi\)
−0.994679 + 0.103021i \(0.967149\pi\)
\(350\) 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 −0.986546 0.163482i \(-0.947727\pi\)
0.116355 + 0.993208i \(0.462879\pi\)
\(354\) −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 0.292572 0.956243i \(-0.405489\pi\)
−0.609224 + 0.792998i \(0.708519\pi\)
\(360\) −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 −0.952385 0.304898i \(-0.901378\pi\)
0.740242 + 0.672341i \(0.234711\pi\)
\(368\) −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 −0.999475 0.0323927i \(-0.989687\pi\)
0.998029 + 0.0627601i \(0.0199903\pi\)
\(374\) −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 0.580339 + 0.814375i \(0.302920\pi\)
−0.995505 + 0.0947110i \(0.969807\pi\)
\(380\) −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 −0.977808 0.209502i \(-0.932816\pi\)
0.773112 0.634270i \(-0.218699\pi\)
\(384\) −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 0.857348 0.514738i \(-0.172111\pi\)
0.744439 + 0.667690i \(0.232717\pi\)
\(390\) −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 −0.232637 0.972564i \(-0.574735\pi\)
0.784064 0.620680i \(-0.213143\pi\)
\(398\) −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 −0.221386 0.975186i \(-0.571058\pi\)
0.512731 + 0.858549i \(0.328634\pi\)
\(402\) −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 −0.937825 0.347107i \(-0.887164\pi\)
−0.261247 + 0.965272i \(0.584134\pi\)
\(410\) −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 0.0711591 0.997465i \(-0.477330\pi\)
−0.877765 + 0.479091i \(0.840967\pi\)
\(420\) 7.61242 + 2.18542i 0.371448 + 0.106637i
\(421\) −2.15555 14.9922i −0.105055 0.730673i −0.972460 0.233070i \(-0.925123\pi\)
0.867405 0.497603i \(-0.165786\pi\)
\(422\) 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 0.408144 0.912918i \(-0.366176\pi\)
0.718205 + 0.695832i \(0.244964\pi\)
\(432\) 0.224258 4.70775i 0.0107896 0.226502i
\(433\) −9.37894 + 10.8239i −0.450723 + 0.520162i −0.934950 0.354780i \(-0.884556\pi\)
0.484226 + 0.874943i \(0.339101\pi\)
\(434\) −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 −0.638081 0.769969i \(-0.720272\pi\)
0.936317 + 0.351155i \(0.114211\pi\)
\(440\) −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 0.302524 + 0.953142i \(0.402171\pi\)
−0.826993 + 0.562212i \(0.809951\pi\)
\(444\) −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 −0.00234931 + 0.999997i \(0.500748\pi\)
−0.754209 + 0.656634i \(0.771979\pi\)
\(450\) 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 0.294293 0.955715i \(-0.404916\pi\)
−0.940630 + 0.339434i \(0.889764\pi\)
\(458\) −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 −0.476951 0.878930i \(-0.658258\pi\)
0.0739484 + 0.997262i \(0.476440\pi\)
\(464\) 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 −0.900386 0.435092i \(-0.856716\pi\)
0.210553 + 0.977582i \(0.432474\pi\)
\(468\) 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 0.948302 0.317371i \(-0.102800\pi\)
−0.941601 + 0.336731i \(0.890679\pi\)
\(480\) 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 −0.533668 0.845694i \(-0.679187\pi\)
−0.103282 0.994652i \(-0.532934\pi\)
\(488\) 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 −0.243601 0.969876i \(-0.578329\pi\)
−0.729285 + 0.684211i \(0.760147\pi\)
\(492\) 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 −0.134321 0.990938i \(-0.542885\pi\)
0.931337 + 0.364157i \(0.118643\pi\)
\(500\) 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 −0.613579 0.789633i \(-0.710271\pi\)
−0.0892676 + 0.996008i \(0.528453\pi\)
\(504\) 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 0.894552 0.446964i \(-0.147495\pi\)
−0.403894 + 0.914806i \(0.632343\pi\)
\(510\) −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 0.0662241 0.997805i \(-0.478905\pi\)
0.999826 0.0186717i \(-0.00594372\pi\)
\(522\) 3.06028 + 1.22515i 0.133945 + 0.0536235i
\(523\) −9.60092 + 27.7400i −0.419819 + 1.21299i 0.514792 + 0.857315i \(0.327869\pi\)
−0.934611 + 0.355672i \(0.884252\pi\)
\(524\) −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 −0.424287 0.905528i \(-0.639475\pi\)
−0.245247 + 0.969461i \(0.578869\pi\)
\(542\) 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 0.942140 0.335220i \(-0.108811\pi\)
0.0864524 + 0.996256i \(0.472447\pi\)
\(548\) 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 −0.0914251 0.995812i \(-0.529142\pi\)
0.758133 + 0.652100i \(0.226112\pi\)
\(558\) −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 0.940123 0.340836i \(-0.110710\pi\)
−0.629574 + 0.776940i \(0.716771\pi\)
\(564\) −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 −0.719062 0.694946i \(-0.755428\pi\)
0.994808 0.101770i \(-0.0324506\pi\)
\(570\) −19.2298 + 9.91367i −0.805449 + 0.415238i
\(571\) 3.34744 + 9.67178i 0.140086 + 0.404751i 0.993120 0.117104i \(-0.0373612\pi\)
−0.853034 + 0.521856i \(0.825240\pi\)
\(572\) 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 −0.206802 0.978383i \(-0.566306\pi\)
−0.388225 + 0.921565i \(0.626912\pi\)
\(578\) −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 −0.869880 0.493263i \(-0.835804\pi\)
0.942434 + 0.334393i \(0.108531\pi\)
\(588\) −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 −0.994131 0.108180i \(-0.965498\pi\)
0.999913 0.0131918i \(-0.00419921\pi\)
\(594\) 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 0.112622 + 0.993638i \(0.464075\pi\)
−0.916827 + 0.399286i \(0.869258\pi\)
\(600\) 0.607862 0.853622i 0.0248158 0.0348490i
\(601\) −11.8138 + 3.46886i −0.481897 + 0.141498i −0.513653 0.857998i \(-0.671708\pi\)
0.0317564 + 0.999496i \(0.489890\pi\)
\(602\) −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 0.466875 0.884323i \(-0.345380\pi\)
−0.449534 + 0.893263i \(0.648410\pi\)
\(608\) 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 −0.209646 0.977777i \(-0.567231\pi\)
0.966695 + 0.255933i \(0.0823825\pi\)
\(614\) 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 −0.00119946 0.999999i \(-0.500382\pi\)
0.989991 0.141127i \(-0.0450727\pi\)
\(618\) 2.98895 + 2.84996i 0.120233 + 0.114642i
\(619\) −39.5235 3.77404i −1.58858 0.151691i −0.736994 0.675899i \(-0.763756\pi\)
−0.851591 + 0.524208i \(0.824362\pi\)
\(620\) −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 −0.999451 0.0331272i \(-0.989453\pi\)
0.968299 + 0.249793i \(0.0803624\pi\)
\(632\) 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 0.861767 + 0.507305i \(0.169358\pi\)
−0.998429 + 0.0560263i \(0.982157\pi\)
\(642\) −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 −0.728359 0.685196i \(-0.759717\pi\)
0.961366 0.275273i \(-0.0887683\pi\)
\(648\) −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 0.907889 0.419211i \(-0.137693\pi\)
0.185148 + 0.982711i \(0.440723\pi\)
\(654\) 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 −0.244680 0.969604i \(-0.578683\pi\)
−0.730046 + 0.683398i \(0.760501\pi\)
\(660\) 10.6356 8.36389i 0.413988 0.325564i
\(661\) −28.6160 + 5.51528i −1.11303 + 0.214520i −0.712438 0.701735i \(-0.752409\pi\)
−0.400596 + 0.916255i \(0.631197\pi\)
\(662\) −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 0.837642 0.546220i \(-0.183934\pi\)
−0.659869 + 0.751380i \(0.729388\pi\)
\(674\) 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 0.220592 0.975366i \(-0.429201\pi\)
0.832729 + 0.553680i \(0.186777\pi\)
\(678\) −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 0.721949 0.691947i \(-0.243247\pi\)
0.0450011 + 0.998987i \(0.485671\pi\)
\(684\) 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 0.929272 0.369396i \(-0.120435\pi\)
−0.784542 + 0.620075i \(0.787102\pi\)
\(692\) −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 −0.879526 0.475851i \(-0.842140\pi\)
0.935591 + 0.353085i \(0.114867\pi\)
\(702\) 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 −0.420147 0.907456i \(-0.638021\pi\)
−0.727318 + 0.686300i \(0.759234\pi\)
\(710\) −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 −0.996832 0.0795397i \(-0.974655\pi\)
0.832731 + 0.553678i \(0.186776\pi\)
\(720\) −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 −0.00967125 0.999953i \(-0.503079\pi\)
0.905572 + 0.424193i \(0.139442\pi\)
\(728\) 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 0.714753 0.699377i \(-0.246539\pi\)
−0.664575 + 0.747221i \(0.731387\pi\)
\(734\) −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 −0.930108 0.367287i \(-0.880287\pi\)
0.995013 + 0.0997421i \(0.0318018\pi\)
\(740\) −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 −0.488166 0.872751i \(-0.662334\pi\)
0.222510 0.974930i \(-0.428575\pi\)
\(744\) 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 0.989284 0.146001i \(-0.0466403\pi\)
−0.946213 + 0.323545i \(0.895125\pi\)
\(752\) −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 0.974596 0.223969i \(-0.0719015\pi\)
−0.807489 + 0.589882i \(0.799174\pi\)
\(758\) −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 −0.686936 0.726718i \(-0.741045\pi\)
0.911424 + 0.411469i \(0.134984\pi\)
\(762\) −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 −0.654715 0.755876i \(-0.727211\pi\)
0.841149 0.540803i \(-0.181880\pi\)
\(770\) 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