Properties

Label 216.2.v.b.11.2
Level $216$
Weight $2$
Character 216.11
Analytic conductor $1.725$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(32\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 216.11
Dual form 216.2.v.b.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40972 + 0.112665i) q^{2} +(0.00307742 - 1.73205i) q^{3} +(1.97461 - 0.317652i) q^{4} +(2.47648 + 0.901367i) q^{5} +(0.190803 + 2.44205i) q^{6} +(2.55949 + 0.451307i) q^{7} +(-2.74786 + 0.670270i) q^{8} +(-2.99998 - 0.0106605i) q^{9} +O(q^{10})\) \(q+(-1.40972 + 0.112665i) q^{2} +(0.00307742 - 1.73205i) q^{3} +(1.97461 - 0.317652i) q^{4} +(2.47648 + 0.901367i) q^{5} +(0.190803 + 2.44205i) q^{6} +(2.55949 + 0.451307i) q^{7} +(-2.74786 + 0.670270i) q^{8} +(-2.99998 - 0.0106605i) q^{9} +(-3.59270 - 0.991660i) q^{10} +(0.556608 + 1.52927i) q^{11} +(-0.544112 - 3.42110i) q^{12} +(1.88389 + 2.24514i) q^{13} +(-3.65901 - 0.347851i) q^{14} +(1.56883 - 4.28662i) q^{15} +(3.79819 - 1.25448i) q^{16} +(-3.28845 + 1.89859i) q^{17} +(4.23033 - 0.322965i) q^{18} +(4.30904 - 7.46347i) q^{19} +(5.17642 + 0.993190i) q^{20} +(0.789562 - 4.43177i) q^{21} +(-0.956956 - 2.09313i) q^{22} +(-1.07009 - 6.06879i) q^{23} +(1.15248 + 4.76149i) q^{24} +(1.49029 + 1.25050i) q^{25} +(-2.90871 - 2.95276i) q^{26} +(-0.0276967 + 5.19608i) q^{27} +(5.19736 + 0.0781292i) q^{28} +(3.88174 + 3.25716i) q^{29} +(-1.72866 + 6.21968i) q^{30} +(-3.57300 + 0.630016i) q^{31} +(-5.21305 + 2.19639i) q^{32} +(2.65048 - 0.959365i) q^{33} +(4.42189 - 3.04697i) q^{34} +(5.93174 + 3.42469i) q^{35} +(-5.92719 + 0.931900i) q^{36} +(-6.40179 + 3.69607i) q^{37} +(-5.23366 + 11.0069i) q^{38} +(3.89448 - 3.25608i) q^{39} +(-7.40919 - 0.816916i) q^{40} +(-4.43232 - 5.28224i) q^{41} +(-0.613754 + 6.33650i) q^{42} +(-3.77811 + 1.37512i) q^{43} +(1.58486 + 2.84290i) q^{44} +(-7.41980 - 2.73048i) q^{45} +(2.19227 + 8.43472i) q^{46} +(0.253807 - 1.43941i) q^{47} +(-2.16113 - 6.58252i) q^{48} +(-0.230541 - 0.0839100i) q^{49} +(-2.24178 - 1.59495i) q^{50} +(3.27833 + 5.70160i) q^{51} +(4.43313 + 3.83485i) q^{52} +0.180986 q^{53} +(-0.546372 - 7.32813i) q^{54} +4.28892i q^{55} +(-7.33562 + 0.475421i) q^{56} +(-12.9138 - 7.48643i) q^{57} +(-5.83912 - 4.15435i) q^{58} +(0.253090 - 0.695359i) q^{59} +(1.73618 - 8.96275i) q^{60} +(11.1190 + 1.96057i) q^{61} +(4.96594 - 1.29070i) q^{62} +(-7.67361 - 1.38120i) q^{63} +(7.10148 - 3.68362i) q^{64} +(2.64174 + 7.25812i) q^{65} +(-3.62834 + 1.65105i) q^{66} +(-10.5159 + 8.82387i) q^{67} +(-5.89033 + 4.79357i) q^{68} +(-10.5147 + 1.83477i) q^{69} +(-8.74793 - 4.15955i) q^{70} +(2.57253 + 4.45576i) q^{71} +(8.25068 - 1.98150i) q^{72} +(-2.62831 + 4.55236i) q^{73} +(8.60830 - 5.93168i) q^{74} +(2.17052 - 2.57741i) q^{75} +(6.13789 - 16.1062i) q^{76} +(0.734463 + 4.16534i) q^{77} +(-5.12328 + 5.02893i) q^{78} +(-6.72831 + 8.01849i) q^{79} +(10.5369 + 0.316864i) q^{80} +(8.99977 + 0.0639625i) q^{81} +(6.84345 + 6.94710i) q^{82} +(7.39656 - 8.81488i) q^{83} +(0.151318 - 9.00184i) q^{84} +(-9.85513 + 1.73773i) q^{85} +(5.17114 - 2.36419i) q^{86} +(5.65351 - 6.71333i) q^{87} +(-2.55450 - 3.82914i) q^{88} +(-0.211259 - 0.121971i) q^{89} +(10.7675 + 3.01326i) q^{90} +(3.80856 + 6.59662i) q^{91} +(-4.04078 - 11.6436i) q^{92} +(1.08022 + 6.19054i) q^{93} +(-0.195625 + 2.05776i) q^{94} +(17.3986 - 14.5992i) q^{95} +(3.78821 + 9.03601i) q^{96} +(1.95441 - 0.711348i) q^{97} +(0.334451 + 0.0923156i) q^{98} +(-1.65351 - 4.59371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 30q^{11} - 3q^{12} + 9q^{14} - 6q^{16} - 18q^{17} + 63q^{18} - 6q^{19} - 27q^{20} - 18q^{22} - 30q^{24} - 12q^{25} + 18q^{27} - 12q^{28} - 21q^{30} - 36q^{32} - 30q^{33} + 12q^{34} - 18q^{35} - 36q^{36} - 102q^{38} + 9q^{40} + 18q^{41} - 6q^{42} - 42q^{43} - 81q^{44} - 3q^{46} - 81q^{48} - 12q^{49} + 57q^{50} - 18q^{51} + 21q^{52} + 78q^{54} - 69q^{56} - 36q^{57} - 33q^{58} - 84q^{59} - 54q^{60} + 90q^{62} - 51q^{64} - 12q^{65} + 87q^{66} + 30q^{67} + 63q^{68} - 33q^{70} + 12q^{72} - 6q^{73} + 51q^{74} - 96q^{75} + 30q^{76} + 90q^{78} - 12q^{81} - 12q^{82} - 72q^{83} - 48q^{84} + 42q^{86} - 78q^{88} + 144q^{89} + 120q^{90} - 6q^{91} - 3q^{92} - 33q^{94} - 78q^{96} - 42q^{97} + 162q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40972 + 0.112665i −0.996822 + 0.0796663i
\(3\) 0.00307742 1.73205i 0.00177675 0.999998i
\(4\) 1.97461 0.317652i 0.987307 0.158826i
\(5\) 2.47648 + 0.901367i 1.10752 + 0.403103i 0.830082 0.557641i \(-0.188293\pi\)
0.277435 + 0.960744i \(0.410516\pi\)
\(6\) 0.190803 + 2.44205i 0.0778950 + 0.996962i
\(7\) 2.55949 + 0.451307i 0.967396 + 0.170578i 0.634958 0.772547i \(-0.281018\pi\)
0.332438 + 0.943125i \(0.392129\pi\)
\(8\) −2.74786 + 0.670270i −0.971515 + 0.236976i
\(9\) −2.99998 0.0106605i −0.999994 0.00355349i
\(10\) −3.59270 0.991660i −1.13611 0.313590i
\(11\) 0.556608 + 1.52927i 0.167824 + 0.461091i 0.994884 0.101021i \(-0.0322110\pi\)
−0.827061 + 0.562113i \(0.809989\pi\)
\(12\) −0.544112 3.42110i −0.157072 0.987587i
\(13\) 1.88389 + 2.24514i 0.522498 + 0.622689i 0.961169 0.275959i \(-0.0889953\pi\)
−0.438672 + 0.898647i \(0.644551\pi\)
\(14\) −3.65901 0.347851i −0.977911 0.0929670i
\(15\) 1.56883 4.28662i 0.405071 1.10680i
\(16\) 3.79819 1.25448i 0.949549 0.313620i
\(17\) −3.28845 + 1.89859i −0.797567 + 0.460476i −0.842620 0.538509i \(-0.818988\pi\)
0.0450525 + 0.998985i \(0.485654\pi\)
\(18\) 4.23033 0.322965i 0.997098 0.0761236i
\(19\) 4.30904 7.46347i 0.988561 1.71224i 0.363666 0.931530i \(-0.381525\pi\)
0.624895 0.780708i \(-0.285142\pi\)
\(20\) 5.17642 + 0.993190i 1.15748 + 0.222084i
\(21\) 0.789562 4.43177i 0.172297 0.967091i
\(22\) −0.956956 2.09313i −0.204024 0.446256i
\(23\) −1.07009 6.06879i −0.223129 1.26543i −0.866229 0.499647i \(-0.833463\pi\)
0.643100 0.765783i \(-0.277648\pi\)
\(24\) 1.15248 + 4.76149i 0.235250 + 0.971935i
\(25\) 1.49029 + 1.25050i 0.298059 + 0.250101i
\(26\) −2.90871 2.95276i −0.570444 0.579084i
\(27\) −0.0276967 + 5.19608i −0.00533022 + 0.999986i
\(28\) 5.19736 + 0.0781292i 0.982209 + 0.0147650i
\(29\) 3.88174 + 3.25716i 0.720820 + 0.604840i 0.927612 0.373545i \(-0.121858\pi\)
−0.206792 + 0.978385i \(0.566302\pi\)
\(30\) −1.72866 + 6.21968i −0.315609 + 1.13555i
\(31\) −3.57300 + 0.630016i −0.641729 + 0.113154i −0.485037 0.874493i \(-0.661194\pi\)
−0.156692 + 0.987648i \(0.550083\pi\)
\(32\) −5.21305 + 2.19639i −0.921546 + 0.388270i
\(33\) 2.65048 0.959365i 0.461389 0.167004i
\(34\) 4.42189 3.04697i 0.758348 0.522551i
\(35\) 5.93174 + 3.42469i 1.00265 + 0.578879i
\(36\) −5.92719 + 0.931900i −0.987865 + 0.155317i
\(37\) −6.40179 + 3.69607i −1.05245 + 0.607631i −0.923333 0.383999i \(-0.874547\pi\)
−0.129114 + 0.991630i \(0.541213\pi\)
\(38\) −5.23366 + 11.0069i −0.849011 + 1.78555i
\(39\) 3.89448 3.25608i 0.623616 0.521391i
\(40\) −7.40919 0.816916i −1.17150 0.129166i
\(41\) −4.43232 5.28224i −0.692212 0.824947i 0.299409 0.954125i \(-0.403211\pi\)
−0.991621 + 0.129178i \(0.958766\pi\)
\(42\) −0.613754 + 6.33650i −0.0947044 + 0.977744i
\(43\) −3.77811 + 1.37512i −0.576156 + 0.209704i −0.613630 0.789594i \(-0.710291\pi\)
0.0374734 + 0.999298i \(0.488069\pi\)
\(44\) 1.58486 + 2.84290i 0.238927 + 0.428584i
\(45\) −7.41980 2.73048i −1.10608 0.407036i
\(46\) 2.19227 + 8.43472i 0.323232 + 1.24363i
\(47\) 0.253807 1.43941i 0.0370215 0.209960i −0.960686 0.277639i \(-0.910448\pi\)
0.997707 + 0.0676790i \(0.0215594\pi\)
\(48\) −2.16113 6.58252i −0.311933 0.950104i
\(49\) −0.230541 0.0839100i −0.0329344 0.0119871i
\(50\) −2.24178 1.59495i −0.317036 0.225561i
\(51\) 3.27833 + 5.70160i 0.459058 + 0.798384i
\(52\) 4.43313 + 3.83485i 0.614765 + 0.531798i
\(53\) 0.180986 0.0248604 0.0124302 0.999923i \(-0.496043\pi\)
0.0124302 + 0.999923i \(0.496043\pi\)
\(54\) −0.546372 7.32813i −0.0743519 0.997232i
\(55\) 4.28892i 0.578317i
\(56\) −7.33562 + 0.475421i −0.980263 + 0.0635308i
\(57\) −12.9138 7.48643i −1.71048 0.991602i
\(58\) −5.83912 4.15435i −0.766714 0.545492i
\(59\) 0.253090 0.695359i 0.0329495 0.0905280i −0.922127 0.386887i \(-0.873550\pi\)
0.955077 + 0.296359i \(0.0957725\pi\)
\(60\) 1.73618 8.96275i 0.224140 1.15709i
\(61\) 11.1190 + 1.96057i 1.42364 + 0.251026i 0.831819 0.555047i \(-0.187300\pi\)
0.591817 + 0.806072i \(0.298411\pi\)
\(62\) 4.96594 1.29070i 0.630675 0.163919i
\(63\) −7.67361 1.38120i −0.966784 0.174015i
\(64\) 7.10148 3.68362i 0.887684 0.460452i
\(65\) 2.64174 + 7.25812i 0.327668 + 0.900259i
\(66\) −3.62834 + 1.65105i −0.446618 + 0.203230i
\(67\) −10.5159 + 8.82387i −1.28472 + 1.07801i −0.292144 + 0.956374i \(0.594369\pi\)
−0.992575 + 0.121633i \(0.961187\pi\)
\(68\) −5.89033 + 4.79357i −0.714308 + 0.581305i
\(69\) −10.5147 + 1.83477i −1.26582 + 0.220881i
\(70\) −8.74793 4.15955i −1.04558 0.497162i
\(71\) 2.57253 + 4.45576i 0.305303 + 0.528801i 0.977329 0.211727i \(-0.0679088\pi\)
−0.672025 + 0.740528i \(0.734575\pi\)
\(72\) 8.25068 1.98150i 0.972351 0.233523i
\(73\) −2.62831 + 4.55236i −0.307620 + 0.532814i −0.977841 0.209348i \(-0.932866\pi\)
0.670221 + 0.742161i \(0.266199\pi\)
\(74\) 8.60830 5.93168i 1.00069 0.689544i
\(75\) 2.17052 2.57741i 0.250630 0.297614i
\(76\) 6.13789 16.1062i 0.704065 1.84751i
\(77\) 0.734463 + 4.16534i 0.0836998 + 0.474685i
\(78\) −5.12328 + 5.02893i −0.580097 + 0.569415i
\(79\) −6.72831 + 8.01849i −0.756994 + 0.902151i −0.997654 0.0684588i \(-0.978192\pi\)
0.240660 + 0.970610i \(0.422636\pi\)
\(80\) 10.5369 + 0.316864i 1.17806 + 0.0354264i
\(81\) 8.99977 + 0.0639625i 0.999975 + 0.00710694i
\(82\) 6.84345 + 6.94710i 0.755733 + 0.767179i
\(83\) 7.39656 8.81488i 0.811878 0.967559i −0.188015 0.982166i \(-0.560205\pi\)
0.999893 + 0.0146072i \(0.00464979\pi\)
\(84\) 0.151318 9.00184i 0.0165102 0.982181i
\(85\) −9.85513 + 1.73773i −1.06894 + 0.188483i
\(86\) 5.17114 2.36419i 0.557619 0.254938i
\(87\) 5.65351 6.71333i 0.606120 0.719744i
\(88\) −2.55450 3.82914i −0.272311 0.408187i
\(89\) −0.211259 0.121971i −0.0223934 0.0129289i 0.488761 0.872417i \(-0.337449\pi\)
−0.511155 + 0.859489i \(0.670782\pi\)
\(90\) 10.7675 + 3.01326i 1.13499 + 0.317626i
\(91\) 3.80856 + 6.59662i 0.399245 + 0.691513i
\(92\) −4.04078 11.6436i −0.421280 1.21393i
\(93\) 1.08022 + 6.19054i 0.112014 + 0.641929i
\(94\) −0.195625 + 2.05776i −0.0201772 + 0.212242i
\(95\) 17.3986 14.5992i 1.78506 1.49784i
\(96\) 3.78821 + 9.03601i 0.386632 + 0.922234i
\(97\) 1.95441 0.711348i 0.198441 0.0722264i −0.240888 0.970553i \(-0.577439\pi\)
0.439329 + 0.898326i \(0.355216\pi\)
\(98\) 0.334451 + 0.0923156i 0.0337847 + 0.00932528i
\(99\) −1.65351 4.59371i −0.166184 0.461685i
\(100\) 3.33998 + 1.99587i 0.333998 + 0.199587i
\(101\) −3.09813 + 17.5704i −0.308276 + 1.74832i 0.299394 + 0.954130i \(0.403216\pi\)
−0.607670 + 0.794190i \(0.707896\pi\)
\(102\) −5.26389 7.66830i −0.521203 0.759275i
\(103\) −4.29301 + 11.7949i −0.423003 + 1.16219i 0.526977 + 0.849879i \(0.323325\pi\)
−0.949980 + 0.312311i \(0.898897\pi\)
\(104\) −6.68152 4.90660i −0.655177 0.481132i
\(105\) 5.94999 10.2635i 0.580659 1.00162i
\(106\) −0.255140 + 0.0203908i −0.0247814 + 0.00198053i
\(107\) 10.9395i 1.05757i −0.848757 0.528783i \(-0.822649\pi\)
0.848757 0.528783i \(-0.177351\pi\)
\(108\) 1.59586 + 10.2690i 0.153561 + 0.988139i
\(109\) 6.35577i 0.608772i −0.952549 0.304386i \(-0.901549\pi\)
0.952549 0.304386i \(-0.0984513\pi\)
\(110\) −0.483211 6.04616i −0.0460724 0.576479i
\(111\) 6.38208 + 11.0996i 0.605760 + 1.05353i
\(112\) 10.2876 1.49668i 0.972086 0.141423i
\(113\) −1.20684 + 3.31577i −0.113530 + 0.311921i −0.983425 0.181316i \(-0.941964\pi\)
0.869895 + 0.493237i \(0.164187\pi\)
\(114\) 19.0483 + 9.09882i 1.78404 + 0.852183i
\(115\) 2.82014 15.9938i 0.262979 1.49143i
\(116\) 8.69957 + 5.19859i 0.807735 + 0.482677i
\(117\) −5.62771 6.75545i −0.520282 0.624541i
\(118\) −0.278443 + 1.00877i −0.0256327 + 0.0928652i
\(119\) −9.27361 + 3.37532i −0.850110 + 0.309415i
\(120\) −1.43774 + 12.8306i −0.131247 + 1.17127i
\(121\) 6.39764 5.36826i 0.581604 0.488024i
\(122\) −15.8955 1.51114i −1.43911 0.136812i
\(123\) −9.16273 + 7.66074i −0.826175 + 0.690746i
\(124\) −6.85516 + 2.37901i −0.615612 + 0.213641i
\(125\) −4.02503 6.97155i −0.360009 0.623554i
\(126\) 10.9732 + 1.08255i 0.977574 + 0.0964414i
\(127\) −15.7942 9.11876i −1.40150 0.809159i −0.406958 0.913447i \(-0.633410\pi\)
−0.994547 + 0.104288i \(0.966744\pi\)
\(128\) −9.59607 + 5.99295i −0.848180 + 0.529707i
\(129\) 2.37015 + 6.54810i 0.208680 + 0.576528i
\(130\) −4.54185 9.93428i −0.398347 0.871294i
\(131\) 4.10519 0.723856i 0.358672 0.0632436i 0.00859153 0.999963i \(-0.497265\pi\)
0.350081 + 0.936719i \(0.386154\pi\)
\(132\) 4.92892 2.73631i 0.429008 0.238165i
\(133\) 14.3973 17.1580i 1.24840 1.48779i
\(134\) 13.8303 13.6239i 1.19475 1.17693i
\(135\) −4.75216 + 12.8430i −0.409001 + 1.10535i
\(136\) 7.76365 7.42121i 0.665727 0.636364i
\(137\) −10.2458 + 12.2105i −0.875360 + 1.04321i 0.123347 + 0.992364i \(0.460637\pi\)
−0.998706 + 0.0508494i \(0.983807\pi\)
\(138\) 14.6161 3.77116i 1.24420 0.321022i
\(139\) −0.411616 2.33439i −0.0349128 0.198000i 0.962363 0.271769i \(-0.0876086\pi\)
−0.997275 + 0.0737683i \(0.976497\pi\)
\(140\) 12.8008 + 4.87821i 1.08186 + 0.412284i
\(141\) −2.49235 0.444035i −0.209893 0.0373945i
\(142\) −4.12856 5.99153i −0.346461 0.502798i
\(143\) −2.38482 + 4.13064i −0.199429 + 0.345421i
\(144\) −11.4079 + 3.72293i −0.950657 + 0.310244i
\(145\) 6.67716 + 11.5652i 0.554508 + 0.960436i
\(146\) 3.19228 6.71367i 0.264195 0.555627i
\(147\) −0.146046 + 0.399050i −0.0120456 + 0.0329131i
\(148\) −11.4670 + 9.33186i −0.942580 + 0.767074i
\(149\) 12.2426 10.2728i 1.00295 0.841578i 0.0155632 0.999879i \(-0.495046\pi\)
0.987391 + 0.158300i \(0.0506014\pi\)
\(150\) −2.76944 + 3.87796i −0.226124 + 0.316634i
\(151\) 0.806403 + 2.21557i 0.0656242 + 0.180301i 0.968170 0.250292i \(-0.0805267\pi\)
−0.902546 + 0.430593i \(0.858304\pi\)
\(152\) −6.83809 + 23.3968i −0.554642 + 1.89773i
\(153\) 9.88554 5.66068i 0.799199 0.457639i
\(154\) −1.50467 5.78922i −0.121250 0.466508i
\(155\) −9.41635 1.66036i −0.756339 0.133363i
\(156\) 6.65579 7.66660i 0.532890 0.613819i
\(157\) 0.284046 0.780410i 0.0226693 0.0622835i −0.927842 0.372974i \(-0.878338\pi\)
0.950511 + 0.310691i \(0.100560\pi\)
\(158\) 8.58162 12.0619i 0.682717 0.959590i
\(159\) 0.000556971 0.313477i 4.41706e−5 0.0248603i
\(160\) −14.8898 + 0.740454i −1.17714 + 0.0585381i
\(161\) 16.0159i 1.26223i
\(162\) −12.6944 + 0.923791i −0.997363 + 0.0725799i
\(163\) −11.2657 −0.882401 −0.441200 0.897409i \(-0.645447\pi\)
−0.441200 + 0.897409i \(0.645447\pi\)
\(164\) −10.4300 9.02244i −0.814449 0.704534i
\(165\) 7.42861 + 0.0131988i 0.578316 + 0.00102752i
\(166\) −9.43394 + 13.2598i −0.732216 + 1.02916i
\(167\) −16.4192 5.97611i −1.27056 0.462445i −0.383260 0.923641i \(-0.625199\pi\)
−0.887299 + 0.461195i \(0.847421\pi\)
\(168\) 0.800877 + 12.7071i 0.0617890 + 0.980374i
\(169\) 0.765842 4.34331i 0.0589110 0.334101i
\(170\) 13.6972 3.56003i 1.05053 0.273042i
\(171\) −13.0066 + 22.3443i −0.994639 + 1.70871i
\(172\) −7.02350 + 3.91545i −0.535537 + 0.298551i
\(173\) 17.4791 6.36186i 1.32891 0.483683i 0.422606 0.906313i \(-0.361115\pi\)
0.906302 + 0.422630i \(0.138893\pi\)
\(174\) −7.21350 + 10.1009i −0.546854 + 0.765744i
\(175\) 3.25003 + 3.87323i 0.245679 + 0.292789i
\(176\) 4.03254 + 5.11020i 0.303964 + 0.385196i
\(177\) −1.20362 0.440504i −0.0904693 0.0331103i
\(178\) 0.311558 + 0.148143i 0.0233523 + 0.0111038i
\(179\) −6.13650 + 3.54291i −0.458663 + 0.264809i −0.711482 0.702704i \(-0.751976\pi\)
0.252819 + 0.967514i \(0.418642\pi\)
\(180\) −15.5186 3.03473i −1.15669 0.226196i
\(181\) −0.129860 0.0749748i −0.00965242 0.00557283i 0.495166 0.868798i \(-0.335107\pi\)
−0.504818 + 0.863226i \(0.668441\pi\)
\(182\) −6.11220 8.87028i −0.453067 0.657509i
\(183\) 3.43002 19.2525i 0.253555 1.42319i
\(184\) 7.00819 + 15.9589i 0.516651 + 1.17651i
\(185\) −19.1854 + 3.38291i −1.41054 + 0.248717i
\(186\) −2.22027 8.60522i −0.162798 0.630965i
\(187\) −4.73383 3.97216i −0.346172 0.290473i
\(188\) 0.0439385 2.92290i 0.00320454 0.213174i
\(189\) −2.41592 + 13.2868i −0.175732 + 0.966473i
\(190\) −22.8823 + 22.5409i −1.66006 + 1.63529i
\(191\) 8.37441 + 7.02696i 0.605951 + 0.508453i 0.893352 0.449357i \(-0.148347\pi\)
−0.287401 + 0.957810i \(0.592791\pi\)
\(192\) −6.35835 12.3114i −0.458874 0.888501i
\(193\) 0.508999 + 2.88668i 0.0366385 + 0.207788i 0.997631 0.0687854i \(-0.0219124\pi\)
−0.960993 + 0.276573i \(0.910801\pi\)
\(194\) −2.67503 + 1.22299i −0.192056 + 0.0878059i
\(195\) 12.5795 4.55329i 0.900840 0.326068i
\(196\) −0.481883 0.0924580i −0.0344202 0.00660414i
\(197\) −1.40635 + 2.43587i −0.100198 + 0.173548i −0.911766 0.410710i \(-0.865281\pi\)
0.811568 + 0.584258i \(0.198614\pi\)
\(198\) 2.84853 + 6.28954i 0.202437 + 0.446978i
\(199\) −0.874354 + 0.504808i −0.0619813 + 0.0357849i −0.530670 0.847578i \(-0.678060\pi\)
0.468689 + 0.883363i \(0.344726\pi\)
\(200\) −4.93329 2.43731i −0.348836 0.172344i
\(201\) 15.2510 + 18.2412i 1.07572 + 1.28663i
\(202\) 2.38793 25.1184i 0.168014 1.76732i
\(203\) 8.46528 + 10.0885i 0.594146 + 0.708076i
\(204\) 8.28456 + 10.2171i 0.580035 + 0.715340i
\(205\) −6.21535 17.0765i −0.434099 1.19268i
\(206\) 4.72306 17.1112i 0.329071 1.19220i
\(207\) 3.14556 + 18.2177i 0.218631 + 1.26621i
\(208\) 9.97187 + 6.16416i 0.691425 + 0.427407i
\(209\) 13.8121 + 2.43544i 0.955402 + 0.168463i
\(210\) −7.23147 + 15.1390i −0.499019 + 1.04469i
\(211\) −3.98399 1.45005i −0.274269 0.0998257i 0.201224 0.979545i \(-0.435508\pi\)
−0.475493 + 0.879720i \(0.657730\pi\)
\(212\) 0.357378 0.0574907i 0.0245448 0.00394848i
\(213\) 7.72550 4.44204i 0.529343 0.304363i
\(214\) 1.23250 + 15.4217i 0.0842523 + 1.05420i
\(215\) −10.5959 −0.722636
\(216\) −3.40667 14.2967i −0.231795 0.972765i
\(217\) −9.42938 −0.640108
\(218\) 0.716074 + 8.95985i 0.0484986 + 0.606837i
\(219\) 7.87682 + 4.56636i 0.532266 + 0.308566i
\(220\) 1.36238 + 8.46895i 0.0918519 + 0.570976i
\(221\) −10.4577 3.80629i −0.703460 0.256039i
\(222\) −10.2475 14.9282i −0.687765 1.00192i
\(223\) 15.7442 + 2.77613i 1.05431 + 0.185903i 0.673831 0.738886i \(-0.264648\pi\)
0.380480 + 0.924789i \(0.375759\pi\)
\(224\) −14.3340 + 3.26895i −0.957730 + 0.218416i
\(225\) −4.45752 3.76738i −0.297168 0.251158i
\(226\) 1.32774 4.81027i 0.0883197 0.319975i
\(227\) 0.588042 + 1.61563i 0.0390297 + 0.107233i 0.957677 0.287846i \(-0.0929392\pi\)
−0.918647 + 0.395080i \(0.870717\pi\)
\(228\) −27.8779 10.6807i −1.84626 0.707346i
\(229\) −5.91992 7.05508i −0.391199 0.466213i 0.534116 0.845411i \(-0.320644\pi\)
−0.925316 + 0.379198i \(0.876200\pi\)
\(230\) −2.17366 + 22.8645i −0.143327 + 1.50764i
\(231\) 7.21684 1.25931i 0.474833 0.0828563i
\(232\) −12.8496 6.34842i −0.843621 0.416794i
\(233\) 16.7671 9.68050i 1.09845 0.634191i 0.162637 0.986686i \(-0.448000\pi\)
0.935814 + 0.352495i \(0.114667\pi\)
\(234\) 8.69459 + 8.88924i 0.568383 + 0.581108i
\(235\) 1.92599 3.33590i 0.125637 0.217610i
\(236\) 0.278872 1.45346i 0.0181530 0.0946121i
\(237\) 13.8677 + 11.6784i 0.900804 + 0.758596i
\(238\) 12.6929 5.80306i 0.822759 0.376157i
\(239\) 0.803749 + 4.55829i 0.0519902 + 0.294851i 0.999706 0.0242659i \(-0.00772482\pi\)
−0.947715 + 0.319117i \(0.896614\pi\)
\(240\) 0.581250 18.2495i 0.0375195 1.17800i
\(241\) 21.1035 + 17.7079i 1.35939 + 1.14067i 0.976169 + 0.217012i \(0.0696312\pi\)
0.383226 + 0.923655i \(0.374813\pi\)
\(242\) −8.41406 + 8.28853i −0.540876 + 0.532807i
\(243\) 0.138482 15.5878i 0.00888363 0.999961i
\(244\) 22.5784 + 0.339410i 1.44544 + 0.0217285i
\(245\) −0.495297 0.415604i −0.0316434 0.0265519i
\(246\) 12.0538 11.8318i 0.768520 0.754368i
\(247\) 24.8743 4.38601i 1.58271 0.279075i
\(248\) 9.39582 4.12607i 0.596635 0.262006i
\(249\) −15.2450 12.8383i −0.966115 0.813596i
\(250\) 6.45960 + 9.37444i 0.408541 + 0.592892i
\(251\) −12.0234 6.94172i −0.758911 0.438158i 0.0699933 0.997547i \(-0.477702\pi\)
−0.828905 + 0.559390i \(0.811036\pi\)
\(252\) −15.5911 0.289793i −0.982150 0.0182552i
\(253\) 8.68518 5.01439i 0.546033 0.315252i
\(254\) 23.2927 + 11.0754i 1.46151 + 0.694935i
\(255\) 2.97950 + 17.0749i 0.186583 + 1.06927i
\(256\) 12.8526 9.52952i 0.803285 0.595595i
\(257\) −1.09064 1.29978i −0.0680325 0.0810779i 0.730955 0.682426i \(-0.239075\pi\)
−0.798987 + 0.601348i \(0.794631\pi\)
\(258\) −4.07898 8.96395i −0.253946 0.558071i
\(259\) −18.0534 + 6.57089i −1.12178 + 0.408295i
\(260\) 7.52198 + 13.4928i 0.466493 + 0.836790i
\(261\) −11.6104 9.81281i −0.718666 0.607398i
\(262\) −5.70561 + 1.48295i −0.352494 + 0.0916167i
\(263\) −0.720517 + 4.08625i −0.0444290 + 0.251969i −0.998931 0.0462368i \(-0.985277\pi\)
0.954502 + 0.298206i \(0.0963882\pi\)
\(264\) −6.64011 + 4.41274i −0.408670 + 0.271585i
\(265\) 0.448210 + 0.163135i 0.0275333 + 0.0100213i
\(266\) −18.3630 + 25.8100i −1.12591 + 1.58251i
\(267\) −0.211909 + 0.365536i −0.0129686 + 0.0223704i
\(268\) −17.9619 + 20.7641i −1.09720 + 1.26837i
\(269\) −31.4461 −1.91730 −0.958650 0.284588i \(-0.908143\pi\)
−0.958650 + 0.284588i \(0.908143\pi\)
\(270\) 5.25225 18.6405i 0.319642 1.13442i
\(271\) 28.1714i 1.71129i −0.517564 0.855644i \(-0.673161\pi\)
0.517564 0.855644i \(-0.326839\pi\)
\(272\) −10.1084 + 11.3365i −0.612914 + 0.687377i
\(273\) 11.4374 6.57631i 0.692222 0.398016i
\(274\) 13.0680 18.3677i 0.789469 1.10963i
\(275\) −1.08285 + 2.97510i −0.0652981 + 0.179405i
\(276\) −20.1797 + 6.96299i −1.21467 + 0.419123i
\(277\) 24.3185 + 4.28801i 1.46116 + 0.257641i 0.847021 0.531559i \(-0.178394\pi\)
0.614136 + 0.789201i \(0.289505\pi\)
\(278\) 0.843267 + 3.24446i 0.0505758 + 0.194590i
\(279\) 10.7256 1.85195i 0.642127 0.110873i
\(280\) −18.5951 5.43471i −1.11127 0.324786i
\(281\) −6.58678 18.0970i −0.392935 1.07958i −0.965655 0.259828i \(-0.916334\pi\)
0.572720 0.819751i \(-0.305888\pi\)
\(282\) 3.56353 + 0.345164i 0.212205 + 0.0205542i
\(283\) 6.85978 5.75604i 0.407772 0.342161i −0.415717 0.909494i \(-0.636469\pi\)
0.823488 + 0.567333i \(0.192025\pi\)
\(284\) 6.49514 + 7.98123i 0.385416 + 0.473599i
\(285\) −25.2329 30.1801i −1.49467 1.78772i
\(286\) 2.89655 6.09172i 0.171277 0.360211i
\(287\) −8.96057 15.5202i −0.528926 0.916126i
\(288\) 15.6625 6.53355i 0.922919 0.384993i
\(289\) −1.29071 + 2.23558i −0.0759243 + 0.131505i
\(290\) −10.7159 15.5514i −0.629260 0.913208i
\(291\) −1.22607 3.38733i −0.0718738 0.198569i
\(292\) −3.74382 + 9.82404i −0.219091 + 0.574909i
\(293\) 3.69497 + 20.9552i 0.215863 + 1.22422i 0.879403 + 0.476078i \(0.157942\pi\)
−0.663540 + 0.748140i \(0.730947\pi\)
\(294\) 0.160924 0.579002i 0.00938530 0.0337681i
\(295\) 1.25355 1.49392i 0.0729843 0.0869793i
\(296\) 15.1138 14.4472i 0.878475 0.839728i
\(297\) −7.96161 + 2.84982i −0.461979 + 0.165363i
\(298\) −16.1013 + 15.8610i −0.932721 + 0.918805i
\(299\) 11.6093 13.8354i 0.671384 0.800125i
\(300\) 3.46722 5.77886i 0.200180 0.333643i
\(301\) −10.2906 + 1.81452i −0.593142 + 0.104587i
\(302\) −1.38642 3.03248i −0.0797795 0.174500i
\(303\) 30.4232 + 5.42019i 1.74777 + 0.311382i
\(304\) 7.00378 33.7533i 0.401694 1.93589i
\(305\) 25.7687 + 14.8776i 1.47551 + 0.851888i
\(306\) −13.2981 + 9.09372i −0.760200 + 0.519853i
\(307\) 4.48896 + 7.77511i 0.256199 + 0.443749i 0.965220 0.261438i \(-0.0841966\pi\)
−0.709022 + 0.705187i \(0.750863\pi\)
\(308\) 2.77341 + 7.99164i 0.158030 + 0.455366i
\(309\) 20.4162 + 7.47200i 1.16144 + 0.425067i
\(310\) 13.4615 + 1.27974i 0.764560 + 0.0726844i
\(311\) 13.0417 10.9433i 0.739525 0.620535i −0.193185 0.981162i \(-0.561882\pi\)
0.932710 + 0.360627i \(0.117437\pi\)
\(312\) −8.51904 + 11.5576i −0.482295 + 0.654321i
\(313\) −9.04413 + 3.29179i −0.511204 + 0.186063i −0.584727 0.811230i \(-0.698798\pi\)
0.0735224 + 0.997294i \(0.476576\pi\)
\(314\) −0.312500 + 1.13216i −0.0176354 + 0.0638915i
\(315\) −17.7586 10.3373i −1.00058 0.582438i
\(316\) −10.7387 + 17.9707i −0.604100 + 1.01093i
\(317\) 1.05306 5.97220i 0.0591457 0.335432i −0.940849 0.338827i \(-0.889970\pi\)
0.999994 + 0.00339548i \(0.00108082\pi\)
\(318\) 0.0345327 + 0.441977i 0.00193650 + 0.0247848i
\(319\) −2.82047 + 7.74917i −0.157916 + 0.433870i
\(320\) 20.9070 2.72139i 1.16874 0.152130i
\(321\) −18.9478 0.0336656i −1.05756 0.00187903i
\(322\) 1.80444 + 22.5780i 0.100557 + 1.25822i
\(323\) 32.7244i 1.82083i
\(324\) 17.7914 2.73250i 0.988410 0.151805i
\(325\) 5.70173i 0.316275i
\(326\) 15.8815 1.26926i 0.879596 0.0702976i
\(327\) −11.0085 0.0195594i −0.608771 0.00108164i
\(328\) 15.7199 + 11.5440i 0.867988 + 0.637410i
\(329\) 1.29923 3.56961i 0.0716290 0.196799i
\(330\) −10.4737 + 0.818338i −0.576560 + 0.0450480i
\(331\) 0.638218 3.61951i 0.0350796 0.198946i −0.962231 0.272233i \(-0.912238\pi\)
0.997311 + 0.0732869i \(0.0233489\pi\)
\(332\) 11.8053 19.7555i 0.647899 1.08422i
\(333\) 19.2446 11.0199i 1.05460 0.603887i
\(334\) 23.8198 + 6.57476i 1.30336 + 0.359755i
\(335\) −33.9960 + 12.3735i −1.85740 + 0.676037i
\(336\) −2.56066 17.8232i −0.139695 0.972336i
\(337\) 14.8826 12.4880i 0.810707 0.680264i −0.140070 0.990142i \(-0.544733\pi\)
0.950776 + 0.309878i \(0.100288\pi\)
\(338\) −0.590283 + 6.20913i −0.0321072 + 0.337732i
\(339\) 5.73936 + 2.10051i 0.311719 + 0.114084i
\(340\) −18.9081 + 6.56184i −1.02543 + 0.355866i
\(341\) −2.95222 5.11340i −0.159872 0.276906i
\(342\) 15.8182 32.9646i 0.855351 1.78252i
\(343\) −16.3076 9.41522i −0.880530 0.508374i
\(344\) 9.46002 6.31099i 0.510050 0.340266i
\(345\) −27.6934 4.93384i −1.49096 0.265629i
\(346\) −23.9238 + 10.9377i −1.28615 + 0.588015i
\(347\) 14.8923 2.62591i 0.799458 0.140966i 0.241029 0.970518i \(-0.422515\pi\)
0.558430 + 0.829552i \(0.311404\pi\)
\(348\) 9.03099 15.0521i 0.484112 0.806876i
\(349\) −14.4505 + 17.2214i −0.773518 + 0.921843i −0.998621 0.0524923i \(-0.983284\pi\)
0.225104 + 0.974335i \(0.427728\pi\)
\(350\) −5.01800 5.09400i −0.268223 0.272286i
\(351\) −11.7181 + 9.72667i −0.625465 + 0.519171i
\(352\) −6.26049 6.74962i −0.333685 0.359756i
\(353\) −13.4020 + 15.9719i −0.713316 + 0.850096i −0.993963 0.109715i \(-0.965006\pi\)
0.280648 + 0.959811i \(0.409451\pi\)
\(354\) 1.74639 + 0.485381i 0.0928195 + 0.0257977i
\(355\) 2.35457 + 13.3534i 0.124967 + 0.708725i
\(356\) −0.455900 0.173738i −0.0241626 0.00920808i
\(357\) 5.81767 + 16.0727i 0.307904 + 0.850659i
\(358\) 8.25157 5.68587i 0.436109 0.300508i
\(359\) −5.43854 + 9.41983i −0.287035 + 0.497159i −0.973101 0.230380i \(-0.926003\pi\)
0.686066 + 0.727540i \(0.259336\pi\)
\(360\) 22.2187 + 2.52972i 1.17103 + 0.133328i
\(361\) −27.6356 47.8663i −1.45451 2.51928i
\(362\) 0.191513 + 0.0910626i 0.0100657 + 0.00478614i
\(363\) −9.27839 11.0975i −0.486989 0.582470i
\(364\) 9.61586 + 11.8160i 0.504008 + 0.619325i
\(365\) −10.6123 + 8.90479i −0.555474 + 0.466098i
\(366\) −2.66628 + 27.5271i −0.139369 + 1.43886i
\(367\) −3.96735 10.9002i −0.207094 0.568985i 0.792046 0.610462i \(-0.209016\pi\)
−0.999139 + 0.0414764i \(0.986794\pi\)
\(368\) −11.6776 21.7080i −0.608736 1.13161i
\(369\) 13.2406 + 15.8939i 0.689277 + 0.827401i
\(370\) 26.6649 6.93048i 1.38624 0.360299i
\(371\) 0.463232 + 0.0816804i 0.0240498 + 0.00424063i
\(372\) 4.09946 + 11.8808i 0.212547 + 0.615990i
\(373\) −1.65913 + 4.55843i −0.0859066 + 0.236027i −0.975206 0.221299i \(-0.928970\pi\)
0.889299 + 0.457326i \(0.151193\pi\)
\(374\) 7.12089 + 5.06628i 0.368213 + 0.261971i
\(375\) −12.0874 + 6.95008i −0.624193 + 0.358901i
\(376\) 0.267368 + 4.12542i 0.0137885 + 0.212752i
\(377\) 14.8512i 0.764874i
\(378\) 1.90880 19.0028i 0.0981782 0.977401i
\(379\) 31.5863 1.62248 0.811238 0.584715i \(-0.198794\pi\)
0.811238 + 0.584715i \(0.198794\pi\)
\(380\) 29.7180 34.3544i 1.52450 1.76234i
\(381\) −15.8427 + 27.3282i −0.811648 + 1.40006i
\(382\) −12.5973 8.96253i −0.644531 0.458563i
\(383\) 5.33286 + 1.94100i 0.272496 + 0.0991805i 0.474654 0.880172i \(-0.342573\pi\)
−0.202158 + 0.979353i \(0.564795\pi\)
\(384\) 10.3506 + 16.6393i 0.528200 + 0.849120i
\(385\) −1.93562 + 10.9774i −0.0986482 + 0.559462i
\(386\) −1.04277 4.01206i −0.0530758 0.204208i
\(387\) 11.3489 4.08506i 0.576898 0.207655i
\(388\) 3.63325 2.02546i 0.184450 0.102827i
\(389\) 7.70166 2.80317i 0.390490 0.142127i −0.139311 0.990249i \(-0.544489\pi\)
0.529801 + 0.848122i \(0.322267\pi\)
\(390\) −17.2206 + 7.83613i −0.872000 + 0.396798i
\(391\) 15.0411 + 17.9253i 0.760660 + 0.906520i
\(392\) 0.689737 + 0.0760483i 0.0348370 + 0.00384102i
\(393\) −1.24112 7.11262i −0.0626063 0.358784i
\(394\) 1.70812 3.59233i 0.0860537 0.180979i
\(395\) −23.8902 + 13.7930i −1.20204 + 0.694001i
\(396\) −4.72424 8.54555i −0.237402 0.429430i
\(397\) 25.2112 + 14.5557i 1.26532 + 0.730531i 0.974098 0.226126i \(-0.0726061\pi\)
0.291218 + 0.956657i \(0.405939\pi\)
\(398\) 1.17572 0.810147i 0.0589334 0.0406090i
\(399\) −29.6741 24.9895i −1.48556 1.25104i
\(400\) 7.22915 + 2.88011i 0.361458 + 0.144006i
\(401\) 13.6729 2.41090i 0.682792 0.120395i 0.178516 0.983937i \(-0.442870\pi\)
0.504276 + 0.863542i \(0.331759\pi\)
\(402\) −23.5548 23.9966i −1.17480 1.19684i
\(403\) −8.14562 6.83498i −0.405762 0.340475i
\(404\) −0.536342 + 35.6789i −0.0266840 + 1.77509i
\(405\) 22.2301 + 8.27050i 1.10462 + 0.410964i
\(406\) −13.0703 13.2682i −0.648667 0.658492i
\(407\) −9.21557 7.73278i −0.456799 0.383300i
\(408\) −12.8300 13.4698i −0.635180 0.666857i
\(409\) −2.85854 16.2116i −0.141346 0.801613i −0.970229 0.242190i \(-0.922134\pi\)
0.828883 0.559422i \(-0.188977\pi\)
\(410\) 10.6858 + 23.3728i 0.527735 + 1.15430i
\(411\) 21.1176 + 17.7838i 1.04166 + 0.877212i
\(412\) −4.73034 + 24.6541i −0.233047 + 1.21462i
\(413\) 0.961601 1.66554i 0.0473173 0.0819559i
\(414\) −6.48684 25.3274i −0.318811 1.24477i
\(415\) 26.2629 15.1629i 1.28920 0.744318i
\(416\) −14.7520 7.56624i −0.723277 0.370966i
\(417\) −4.04454 + 0.705755i −0.198062 + 0.0345610i
\(418\) −19.7455 1.87715i −0.965786 0.0918144i
\(419\) 10.4296 + 12.4295i 0.509520 + 0.607223i 0.958070 0.286535i \(-0.0925036\pi\)
−0.448549 + 0.893758i \(0.648059\pi\)
\(420\) 8.48869 22.1565i 0.414206 1.08113i
\(421\) −0.181389 0.498362i −0.00884036 0.0242887i 0.935194 0.354136i \(-0.115225\pi\)
−0.944034 + 0.329847i \(0.893003\pi\)
\(422\) 5.77967 + 1.59531i 0.281350 + 0.0776585i
\(423\) −0.776761 + 4.31550i −0.0377674 + 0.209827i
\(424\) −0.497325 + 0.121310i −0.0241522 + 0.00589132i
\(425\) −7.27495 1.28277i −0.352887 0.0622235i
\(426\) −10.3903 + 7.13242i −0.503413 + 0.345567i
\(427\) 27.5740 + 10.0361i 1.33440 + 0.485682i
\(428\) −3.47497 21.6014i −0.167969 1.04414i
\(429\) 7.14712 + 4.14334i 0.345066 + 0.200042i
\(430\) 14.9373 1.19379i 0.720339 0.0575697i
\(431\) 12.2920 0.592084 0.296042 0.955175i \(-0.404333\pi\)
0.296042 + 0.955175i \(0.404333\pi\)
\(432\) 6.41318 + 19.7705i 0.308554 + 0.951207i
\(433\) 14.6907 0.705991 0.352996 0.935625i \(-0.385163\pi\)
0.352996 + 0.935625i \(0.385163\pi\)
\(434\) 13.2928 1.06236i 0.638073 0.0509950i
\(435\) 20.0520 11.5296i 0.961420 0.552801i
\(436\) −2.01892 12.5502i −0.0966889 0.601045i
\(437\) −49.9053 18.1640i −2.38729 0.868904i
\(438\) −11.6186 5.54985i −0.555157 0.265182i
\(439\) −28.8488 5.08682i −1.37688 0.242781i −0.564270 0.825591i \(-0.690842\pi\)
−0.812609 + 0.582810i \(0.801953\pi\)
\(440\) −2.87473 11.7853i −0.137048 0.561844i
\(441\) 0.690724 + 0.254186i 0.0328916 + 0.0121041i
\(442\) 15.1712 + 4.18758i 0.721622 + 0.199183i
\(443\) −11.6096 31.8970i −0.551588 1.51547i −0.831543 0.555461i \(-0.812542\pi\)
0.279955 0.960013i \(-0.409680\pi\)
\(444\) 16.1279 + 19.8901i 0.765398 + 0.943942i
\(445\) −0.413240 0.492480i −0.0195895 0.0233458i
\(446\) −22.5077 2.13974i −1.06577 0.101319i
\(447\) −17.7553 21.2364i −0.839795 1.00445i
\(448\) 19.8386 6.22324i 0.937285 0.294020i
\(449\) −15.4011 + 8.89184i −0.726823 + 0.419632i −0.817259 0.576271i \(-0.804507\pi\)
0.0904355 + 0.995902i \(0.471174\pi\)
\(450\) 6.70830 + 4.80873i 0.316232 + 0.226686i
\(451\) 5.61089 9.71834i 0.264206 0.457619i
\(452\) −1.32978 + 6.93072i −0.0625478 + 0.325994i
\(453\) 3.83996 1.38991i 0.180417 0.0653037i
\(454\) −1.01100 2.21133i −0.0474485 0.103783i
\(455\) 3.48587 + 19.7693i 0.163420 + 0.926800i
\(456\) 40.5033 + 11.9159i 1.89674 + 0.558013i
\(457\) 9.21939 + 7.73598i 0.431265 + 0.361874i 0.832429 0.554132i \(-0.186950\pi\)
−0.401164 + 0.916006i \(0.631394\pi\)
\(458\) 9.14028 + 9.27871i 0.427097 + 0.433566i
\(459\) −9.77414 17.1397i −0.456218 0.800010i
\(460\) 0.488216 32.4774i 0.0227632 1.51427i
\(461\) 12.6139 + 10.5843i 0.587487 + 0.492960i 0.887396 0.461008i \(-0.152512\pi\)
−0.299909 + 0.953968i \(0.596956\pi\)
\(462\) −10.0318 + 2.58835i −0.466723 + 0.120421i
\(463\) −3.83957 + 0.677019i −0.178440 + 0.0314638i −0.262154 0.965026i \(-0.584433\pi\)
0.0837142 + 0.996490i \(0.473322\pi\)
\(464\) 18.8296 + 7.50177i 0.874144 + 0.348261i
\(465\) −2.90480 + 16.3045i −0.134707 + 0.756101i
\(466\) −22.5463 + 15.5359i −1.04444 + 0.719685i
\(467\) −8.38005 4.83822i −0.387782 0.223886i 0.293416 0.955985i \(-0.405208\pi\)
−0.681199 + 0.732098i \(0.738541\pi\)
\(468\) −13.2584 11.5517i −0.612871 0.533980i
\(469\) −30.8975 + 17.8387i −1.42672 + 0.823715i
\(470\) −2.33926 + 4.91968i −0.107902 + 0.226928i
\(471\) −1.35083 0.494383i −0.0622431 0.0227800i
\(472\) −0.229377 + 2.08039i −0.0105579 + 0.0957576i
\(473\) −4.20585 5.01234i −0.193385 0.230468i
\(474\) −20.8653 14.9009i −0.958376 0.684421i
\(475\) 15.7548 5.73429i 0.722881 0.263107i
\(476\) −17.2396 + 9.61073i −0.790176 + 0.440507i
\(477\) −0.542955 0.00192940i −0.0248602 8.83411e-5i
\(478\) −1.64662 6.33535i −0.0753146 0.289772i
\(479\) −0.352574 + 1.99955i −0.0161095 + 0.0913616i −0.991802 0.127780i \(-0.959215\pi\)
0.975693 + 0.219142i \(0.0703258\pi\)
\(480\) 1.23668 + 25.7921i 0.0564465 + 1.17724i
\(481\) −20.3585 7.40988i −0.928266 0.337861i
\(482\) −31.7450 22.5856i −1.44595 1.02874i
\(483\) −27.7404 0.0492878i −1.26223 0.00224267i
\(484\) 10.9276 12.6325i 0.496710 0.574203i
\(485\) 5.48126 0.248891
\(486\) 1.56099 + 21.9901i 0.0708077 + 0.997490i
\(487\) 7.67766i 0.347908i 0.984754 + 0.173954i \(0.0556544\pi\)
−0.984754 + 0.173954i \(0.944346\pi\)
\(488\) −31.8675 + 2.06533i −1.44257 + 0.0934930i
\(489\) −0.0346694 + 19.5128i −0.00156780 + 0.882399i
\(490\) 0.745054 + 0.530082i 0.0336581 + 0.0239466i
\(491\) 6.23136 17.1205i 0.281217 0.772638i −0.716001 0.698100i \(-0.754029\pi\)
0.997218 0.0745389i \(-0.0237485\pi\)
\(492\) −15.6594 + 18.0376i −0.705980 + 0.813196i
\(493\) −18.9489 3.34121i −0.853417 0.150480i
\(494\) −34.5716 + 8.98550i −1.55545 + 0.404277i
\(495\) 0.0457219 12.8667i 0.00205505 0.578314i
\(496\) −12.7806 + 6.87518i −0.573866 + 0.308705i
\(497\) 4.57346 + 12.5655i 0.205148 + 0.563638i
\(498\) 22.9376 + 16.3809i 1.02786 + 0.734043i
\(499\) −0.594620 + 0.498945i −0.0266189 + 0.0223359i −0.656000 0.754761i \(-0.727753\pi\)
0.629381 + 0.777097i \(0.283308\pi\)
\(500\) −10.1624 12.4876i −0.454476 0.558460i
\(501\) −10.4014 + 28.4205i −0.464702 + 1.26973i
\(502\) 17.7317 + 8.43126i 0.791406 + 0.376305i
\(503\) 16.6264 + 28.7978i 0.741335 + 1.28403i 0.951887 + 0.306448i \(0.0991406\pi\)
−0.210552 + 0.977583i \(0.567526\pi\)
\(504\) 22.0118 1.34805i 0.980483 0.0600470i
\(505\) −23.5098 + 40.7203i −1.04617 + 1.81203i
\(506\) −11.6787 + 8.04740i −0.519182 + 0.357750i
\(507\) −7.52046 1.33984i −0.333995 0.0595045i
\(508\) −34.0839 12.9890i −1.51223 0.576293i
\(509\) 5.59821 + 31.7490i 0.248136 + 1.40725i 0.813095 + 0.582132i \(0.197781\pi\)
−0.564958 + 0.825119i \(0.691108\pi\)
\(510\) −6.12400 23.7351i −0.271175 1.05101i
\(511\) −8.78164 + 10.4655i −0.388477 + 0.462969i
\(512\) −17.0448 + 14.8820i −0.753283 + 0.657697i
\(513\) 38.6614 + 22.5968i 1.70694 + 0.997674i
\(514\) 1.68394 + 1.70944i 0.0742754 + 0.0754003i
\(515\) −21.2631 + 25.3404i −0.936966 + 1.11663i
\(516\) 6.76014 + 12.1771i 0.297599 + 0.536066i
\(517\) 2.34251 0.413048i 0.103024 0.0181658i
\(518\) 24.7099 11.2971i 1.08569 0.496366i
\(519\) −10.9653 30.2942i −0.481321 1.32977i
\(520\) −12.1240 18.1736i −0.531674 0.796966i
\(521\) −27.9816 16.1552i −1.22590 0.707773i −0.259729 0.965682i \(-0.583633\pi\)
−0.966169 + 0.257909i \(0.916966\pi\)
\(522\) 17.4730 + 12.5252i 0.764771 + 0.548214i
\(523\) −1.25831 2.17946i −0.0550222 0.0953012i 0.837202 0.546893i \(-0.184190\pi\)
−0.892225 + 0.451592i \(0.850856\pi\)
\(524\) 7.87623 2.73336i 0.344075 0.119407i
\(525\) 6.71862 5.61728i 0.293225 0.245158i
\(526\) 0.555348 5.84165i 0.0242143 0.254708i
\(527\) 10.5535 8.85544i 0.459718 0.385749i
\(528\) 8.86352 6.96883i 0.385735 0.303279i
\(529\) −14.0722 + 5.12185i −0.611833 + 0.222689i
\(530\) −0.650229 0.179477i −0.0282442 0.00779598i
\(531\) −0.766678 + 2.08336i −0.0332710 + 0.0904103i
\(532\) 22.9787 38.4537i 0.996255 1.66718i
\(533\) 3.50932 19.9023i 0.152005 0.862066i
\(534\) 0.257549 0.539177i 0.0111452 0.0233325i
\(535\) 9.86054 27.0916i 0.426308 1.17127i
\(536\) 22.9818 31.2952i 0.992662 1.35175i
\(537\) 6.11760 + 10.6396i 0.263994 + 0.459133i
\(538\) 44.3301 3.54287i 1.91121 0.152744i
\(539\) 0.399264i 0.0171975i
\(540\) −5.30406 + 26.8696i −0.228250 + 1.15628i
\(541\) 20.7984i 0.894192i −0.894486 0.447096i \(-0.852458\pi\)
0.894486 0.447096i \(-0.147542\pi\)
\(542\) 3.17393 + 39.7137i 0.136332 + 1.70585i
\(543\) −0.130260 + 0.224693i −0.00558997 + 0.00964251i
\(544\) 12.9728 17.1202i 0.556206 0.734021i
\(545\) 5.72888 15.7400i 0.245398 0.674226i
\(546\) −15.3826 + 10.5593i −0.658313 + 0.451898i
\(547\) −3.11764 + 17.6810i −0.133301 + 0.755985i 0.842727 + 0.538341i \(0.180949\pi\)
−0.976028 + 0.217645i \(0.930163\pi\)
\(548\) −16.3528 + 27.3656i −0.698559 + 1.16900i
\(549\) −33.3358 6.00021i −1.42274 0.256083i
\(550\) 1.19132 4.31605i 0.0507980 0.184037i
\(551\) 41.0363 14.9360i 1.74820 0.636294i
\(552\) 27.6632 12.0894i 1.17742 0.514559i
\(553\) −20.8398 + 17.4867i −0.886200 + 0.743610i
\(554\) −34.7653 3.30504i −1.47704 0.140418i
\(555\) 5.80032 + 33.2405i 0.246210 + 1.41098i
\(556\) −1.55431 4.47877i −0.0659173 0.189942i
\(557\) −15.8779 27.5013i −0.672766 1.16527i −0.977116 0.212705i \(-0.931773\pi\)
0.304350 0.952560i \(-0.401561\pi\)
\(558\) −14.9115 + 3.81913i −0.631254 + 0.161677i
\(559\) −10.2049 5.89179i −0.431621 0.249196i
\(560\) 26.8261 + 5.56639i 1.13361 + 0.235223i
\(561\) −6.89453 + 8.18700i −0.291087 + 0.345655i
\(562\) 11.3244 + 24.7696i 0.477692 + 1.04484i
\(563\) 21.2510 3.74712i 0.895621 0.157922i 0.293153 0.956065i \(-0.405295\pi\)
0.602468 + 0.798143i \(0.294184\pi\)
\(564\) −5.06247 0.0850985i −0.213168 0.00358329i
\(565\) −5.97745 + 7.12365i −0.251473 + 0.299694i
\(566\) −9.02186 + 8.88726i −0.379217 + 0.373559i
\(567\) 23.0060 + 4.22537i 0.966159 + 0.177449i
\(568\) −10.0555 10.5195i −0.421920 0.441389i
\(569\) 28.0024 33.3720i 1.17392 1.39903i 0.274701 0.961530i \(-0.411421\pi\)
0.899221 0.437495i \(-0.144134\pi\)
\(570\) 38.9715 + 39.7026i 1.63234 + 1.66296i
\(571\) 5.33260 + 30.2427i 0.223162 + 1.26562i 0.866167 + 0.499754i \(0.166576\pi\)
−0.643005 + 0.765862i \(0.722313\pi\)
\(572\) −3.39700 + 8.91395i −0.142036 + 0.372711i
\(573\) 12.1968 14.4833i 0.509529 0.605046i
\(574\) 14.3805 + 20.8695i 0.600229 + 0.871077i
\(575\) 5.99429 10.3824i 0.249979 0.432977i
\(576\) −21.3436 + 10.9751i −0.889315 + 0.457295i
\(577\) −18.5251 32.0864i −0.771210 1.33578i −0.936900 0.349597i \(-0.886318\pi\)
0.165690 0.986178i \(-0.447015\pi\)
\(578\) 1.56767 3.29696i 0.0652065 0.137135i
\(579\) 5.00143 0.872727i 0.207852 0.0362693i
\(580\) 16.8585 + 20.7157i 0.700012 + 0.860174i
\(581\) 22.9096 19.2235i 0.950452 0.797524i
\(582\) 2.11005 + 4.63704i 0.0874645 + 0.192211i
\(583\) 0.100738 + 0.276776i 0.00417216 + 0.0114629i
\(584\) 4.17091 14.2709i 0.172593 0.590535i
\(585\) −7.84780 21.8024i −0.324467 0.901418i
\(586\) −7.56980 29.1247i −0.312706 1.20313i
\(587\) 2.18563 + 0.385385i 0.0902104 + 0.0159065i 0.218571 0.975821i \(-0.429860\pi\)
−0.128361 + 0.991728i \(0.540972\pi\)
\(588\) −0.161625 + 0.834360i −0.00666529 + 0.0344084i
\(589\) −10.6941 + 29.3817i −0.440642 + 1.21065i
\(590\) −1.59883 + 2.24724i −0.0658230 + 0.0925172i
\(591\) 4.21471 + 2.44336i 0.173370 + 0.100506i
\(592\) −19.6786 + 22.0693i −0.808784 + 0.907043i
\(593\) 7.72015i 0.317028i −0.987357 0.158514i \(-0.949330\pi\)
0.987357 0.158514i \(-0.0506704\pi\)
\(594\) 10.9026 4.91444i 0.447337 0.201642i
\(595\) −26.0084 −1.06624
\(596\) 20.9113 24.1736i 0.856559 0.990191i
\(597\) 0.871661 + 1.51598i 0.0356747 + 0.0620448i
\(598\) −14.8071 + 20.8121i −0.605507 + 0.851068i
\(599\) −5.13051 1.86735i −0.209627 0.0762980i 0.235072 0.971978i \(-0.424467\pi\)
−0.444699 + 0.895680i \(0.646689\pi\)
\(600\) −4.23672 + 8.53720i −0.172963 + 0.348530i
\(601\) 2.68385 15.2209i 0.109477 0.620872i −0.879861 0.475231i \(-0.842364\pi\)
0.989337 0.145641i \(-0.0465245\pi\)
\(602\) 14.3025 3.71735i 0.582925 0.151508i
\(603\) 31.6415 26.3593i 1.28854 1.07344i
\(604\) 2.29612 + 4.11875i 0.0934277 + 0.167589i
\(605\) 20.6824 7.52779i 0.840860 0.306048i
\(606\) −43.4989 4.21330i −1.76702 0.171154i
\(607\) −0.0926471 0.110413i −0.00376043 0.00448151i 0.764161 0.645026i \(-0.223153\pi\)
−0.767921 + 0.640544i \(0.778709\pi\)
\(608\) −6.07054 + 48.3718i −0.246193 + 1.96173i
\(609\) 17.4999 14.6312i 0.709130 0.592887i
\(610\) −38.0028 18.0700i −1.53869 0.731632i
\(611\) 3.70982 2.14186i 0.150083 0.0866505i
\(612\) 17.7220 14.3178i 0.716369 0.578763i
\(613\) 30.3578 + 17.5271i 1.22614 + 0.707913i 0.966220 0.257717i \(-0.0829702\pi\)
0.259921 + 0.965630i \(0.416304\pi\)
\(614\) −7.20416 10.4550i −0.290736 0.421928i
\(615\) −29.5965 + 10.7127i −1.19345 + 0.431979i
\(616\) −4.81011 10.9535i −0.193805 0.441329i
\(617\) 1.95314 0.344391i 0.0786304 0.0138647i −0.134195 0.990955i \(-0.542845\pi\)
0.212825 + 0.977090i \(0.431734\pi\)
\(618\) −29.6229 8.23322i −1.19161 0.331189i
\(619\) 30.9839 + 25.9986i 1.24535 + 1.04497i 0.997087 + 0.0762782i \(0.0243037\pi\)
0.248262 + 0.968693i \(0.420141\pi\)
\(620\) −19.1211 0.287437i −0.767920 0.0115438i
\(621\) 31.5635 5.39219i 1.26660 0.216381i
\(622\) −17.1522 + 16.8962i −0.687739 + 0.677478i
\(623\) −0.485670 0.407525i −0.0194579 0.0163272i
\(624\) 10.7073 17.2528i 0.428635 0.690664i
\(625\) −5.37310 30.4724i −0.214924 1.21890i
\(626\) 12.3788 5.65946i 0.494756 0.226197i
\(627\) 4.26081 23.9157i 0.170160 0.955101i
\(628\) 0.312982 1.63124i 0.0124893 0.0650934i
\(629\) 14.0347 24.3087i 0.559598 0.969253i
\(630\) 26.1993 + 12.5718i 1.04380 + 0.500874i
\(631\) 28.0718 16.2073i 1.11752 0.645202i 0.176755 0.984255i \(-0.443440\pi\)
0.940767 + 0.339053i \(0.110107\pi\)
\(632\) 13.1139 26.5435i 0.521643 1.05584i
\(633\) −2.52382 + 6.89599i −0.100313 + 0.274091i
\(634\) −0.811659 + 8.53776i −0.0322351 + 0.339078i
\(635\) −30.8946 36.8188i −1.22602 1.46111i
\(636\) −0.0984768 0.619173i −0.00390486 0.0245518i
\(637\) −0.245925 0.675673i −0.00974390 0.0267711i
\(638\) 3.10301 11.2419i 0.122849 0.445072i
\(639\) −7.67005 13.3946i −0.303422 0.529883i
\(640\) −29.1664 + 6.19189i −1.15290 + 0.244756i
\(641\) 16.3026 + 2.87458i 0.643912 + 0.113539i 0.486063 0.873924i \(-0.338433\pi\)
0.157850 + 0.987463i \(0.449544\pi\)
\(642\) 26.7149 2.08730i 1.05435 0.0823791i
\(643\) −25.2314 9.18349i −0.995030 0.362161i −0.207364 0.978264i \(-0.566489\pi\)
−0.787666 + 0.616102i \(0.788711\pi\)
\(644\) −5.08750 31.6253i −0.200476 1.24621i
\(645\) −0.0326081 + 18.3526i −0.00128394 + 0.722635i
\(646\) −3.68690 46.1322i −0.145059 1.81505i
\(647\) 29.0527 1.14218 0.571090 0.820887i \(-0.306521\pi\)
0.571090 + 0.820887i \(0.306521\pi\)
\(648\) −24.7730 + 5.85652i −0.973175 + 0.230066i
\(649\) 1.20426 0.0472714
\(650\) −0.642386 8.03783i −0.0251964 0.315270i
\(651\) −0.0290182 + 16.3321i −0.00113731 + 0.640107i
\(652\) −22.2455 + 3.57859i −0.871200 + 0.140148i
\(653\) 32.5052 + 11.8309i 1.27203 + 0.462980i 0.887788 0.460253i \(-0.152241\pi\)
0.384240 + 0.923233i \(0.374463\pi\)
\(654\) 15.5211 1.21270i 0.606923 0.0474203i
\(655\) 10.8189 + 1.90767i 0.422730 + 0.0745387i
\(656\) −23.4613 14.5027i −0.916009 0.566235i
\(657\) 7.93340 13.6290i 0.309512 0.531717i
\(658\) −1.42938 + 5.17852i −0.0557231 + 0.201880i
\(659\) 7.44079 + 20.4434i 0.289852 + 0.796362i 0.996086 + 0.0883842i \(0.0281703\pi\)
−0.706234 + 0.707978i \(0.749607\pi\)
\(660\) 14.6728 2.33365i 0.571139 0.0908373i
\(661\) −16.3906 19.5335i −0.637519 0.759766i 0.346457 0.938066i \(-0.387385\pi\)
−0.983976 + 0.178300i \(0.942940\pi\)
\(662\) −0.491915 + 5.17440i −0.0191188 + 0.201109i
\(663\) −6.62486 + 18.1015i −0.257288 + 0.703004i
\(664\) −14.4164 + 29.1798i −0.559464 + 1.13239i
\(665\) 51.1202 29.5143i 1.98236 1.14451i
\(666\) −25.8880 + 17.7032i −1.00314 + 0.685984i
\(667\) 15.6132 27.0429i 0.604546 1.04710i
\(668\) −34.3200 6.58490i −1.32788 0.254778i
\(669\) 4.85684 27.2612i 0.187776 1.05398i
\(670\) 46.5307 21.2733i 1.79764 0.821860i
\(671\) 3.19066 + 18.0951i 0.123174 + 0.698555i
\(672\) 5.61786 + 24.8372i 0.216714 + 0.958116i
\(673\) −6.18349 5.18857i −0.238356 0.200005i 0.515783 0.856719i \(-0.327501\pi\)
−0.754139 + 0.656715i \(0.771946\pi\)
\(674\) −19.5733 + 19.2813i −0.753936 + 0.742687i
\(675\) −6.53899 + 7.70904i −0.251686 + 0.296721i
\(676\) 0.132581 8.81963i 0.00509927 0.339216i
\(677\) −11.8370 9.93243i −0.454933 0.381734i 0.386330 0.922361i \(-0.373743\pi\)
−0.841263 + 0.540627i \(0.818187\pi\)
\(678\) −8.32754 2.31451i −0.319817 0.0888880i
\(679\) 5.32333 0.938647i 0.204291 0.0360220i
\(680\) 25.9158 11.3806i 0.993825 0.436427i
\(681\) 2.80016 1.01354i 0.107302 0.0388391i
\(682\) 4.73790 + 6.87584i 0.181424 + 0.263289i
\(683\) −1.82111 1.05142i −0.0696830 0.0402315i 0.464754 0.885440i \(-0.346143\pi\)
−0.534437 + 0.845209i \(0.679476\pi\)
\(684\) −18.5853 + 48.2530i −0.710625 + 1.84500i
\(685\) −36.3798 + 21.0039i −1.39000 + 0.802516i
\(686\) 24.0499 + 11.4355i 0.918231 + 0.436610i
\(687\) −12.2380 + 10.2319i −0.466907 + 0.390370i
\(688\) −12.6249 + 9.96254i −0.481321 + 0.379818i
\(689\) 0.340959 + 0.406339i 0.0129895 + 0.0154803i
\(690\) 39.5957 + 3.83525i 1.50738 + 0.146005i
\(691\) −21.9905 + 8.00388i −0.836557 + 0.304482i −0.724547 0.689225i \(-0.757951\pi\)
−0.112010 + 0.993707i \(0.535729\pi\)
\(692\) 32.4935 18.1145i 1.23522 0.688609i
\(693\) −2.15897 12.5038i −0.0820125 0.474980i
\(694\) −20.6981 + 5.37963i −0.785687 + 0.204208i
\(695\) 1.08478 6.15210i 0.0411481 0.233362i
\(696\) −11.0353 + 22.2367i −0.418292 + 0.842879i
\(697\) 24.6043 + 8.95523i 0.931954 + 0.339203i
\(698\) 18.4309 25.9055i 0.697619 0.980536i
\(699\) −16.7155 29.0713i −0.632238 1.09958i
\(700\) 7.64789 + 6.61575i 0.289063 + 0.250052i
\(701\) 40.5028 1.52977 0.764884 0.644168i \(-0.222796\pi\)
0.764884 + 0.644168i \(0.222796\pi\)
\(702\) 15.4233 15.0321i 0.582116 0.567350i
\(703\) 63.7061i 2.40272i
\(704\) 9.58598 + 8.80972i 0.361285 + 0.332029i
\(705\) −5.77202 3.34617i −0.217387 0.126024i
\(706\) 17.0936 24.0258i 0.643324 0.904222i
\(707\) −15.8593 + 43.5730i −0.596450 + 1.63873i
\(708\) −2.51660 0.487493i −0.0945797 0.0183211i
\(709\) −12.4782 2.20024i −0.468628 0.0826317i −0.0656523 0.997843i \(-0.520913\pi\)
−0.402975 + 0.915211i \(0.632024\pi\)
\(710\) −4.82374 18.5593i −0.181032 0.696517i
\(711\) 20.2703 23.9836i 0.760195 0.899455i
\(712\) 0.662264 + 0.193557i 0.0248194 + 0.00725387i
\(713\) 7.64687 + 21.0096i 0.286377 + 0.786815i
\(714\) −10.0121 22.0026i −0.374694 0.823426i
\(715\) −9.62920 + 8.07986i −0.360112 + 0.302170i
\(716\) −10.9918 + 8.94514i −0.410783 + 0.334296i
\(717\) 7.89765 1.37810i 0.294943 0.0514662i
\(718\) 6.60552 13.8920i 0.246516 0.518446i
\(719\) 23.2178 + 40.2145i 0.865879 + 1.49975i 0.866171 + 0.499747i \(0.166574\pi\)
−0.000291815 1.00000i \(0.500093\pi\)
\(720\) −31.6072 1.06291i −1.17793 0.0396125i
\(721\) −16.3111 + 28.2516i −0.607455 + 1.05214i
\(722\) 44.3513 + 64.3644i 1.65058 + 2.39540i
\(723\) 30.7359 36.4977i 1.14308 1.35737i
\(724\) −0.280239 0.106796i −0.0104150 0.00396903i
\(725\) 1.71183 + 9.70825i 0.0635756 + 0.360555i
\(726\) 14.3302 + 14.5991i 0.531845 + 0.541822i
\(727\) −7.82850 + 9.32964i −0.290343 + 0.346017i −0.891424 0.453171i \(-0.850293\pi\)
0.601081 + 0.799188i \(0.294737\pi\)
\(728\) −14.8869 15.5738i −0.551745 0.577204i
\(729\) −26.9985 0.287828i −0.999943 0.0106603i
\(730\) 13.9571 13.7489i 0.516576 0.508869i
\(731\) 9.81335 11.6951i 0.362960 0.432559i
\(732\) 0.657357 39.1059i 0.0242966 1.44539i
\(733\) 9.85329 1.73740i 0.363939 0.0641723i 0.0113117 0.999936i \(-0.496399\pi\)
0.352628 + 0.935764i \(0.385288\pi\)
\(734\) 6.82091 + 14.9192i 0.251764 + 0.550679i
\(735\) −0.721370 + 0.856600i −0.0266081 + 0.0315962i
\(736\) 18.9079 + 29.2866i 0.696953 + 1.07952i
\(737\) −19.3473 11.1702i −0.712666 0.411458i
\(738\) −20.4562 20.9141i −0.753002 0.769859i
\(739\) 22.0318 + 38.1602i 0.810454 + 1.40375i 0.912547 + 0.408972i \(0.134113\pi\)
−0.102093 + 0.994775i \(0.532554\pi\)
\(740\) −36.8092 + 12.7742i −1.35313 + 0.469590i
\(741\) −7.52023 43.0969i −0.276262 1.58321i
\(742\) −0.662230 0.0629562i −0.0243112 0.00231119i
\(743\) 6.42946 5.39496i 0.235874 0.197922i −0.517187 0.855872i \(-0.673021\pi\)
0.753061 + 0.657950i \(0.228576\pi\)
\(744\) −7.11764 16.2867i −0.260945 0.597100i
\(745\) 39.5782 14.4053i 1.45003 0.527769i
\(746\) 1.82533 6.61303i 0.0668302 0.242120i
\(747\) −22.2835 + 26.3656i −0.815311 + 0.964668i
\(748\) −10.6092 6.33976i −0.387913 0.231805i
\(749\) 4.93709 27.9996i 0.180397 1.02308i
\(750\) 16.2569 11.1595i 0.593617 0.407487i
\(751\) 7.74342 21.2749i 0.282561 0.776331i −0.714494 0.699642i \(-0.753343\pi\)
0.997055 0.0766890i \(-0.0244348\pi\)
\(752\) −0.841704 5.78556i −0.0306938 0.210977i
\(753\) −12.0604 + 20.8038i −0.439505 + 0.758132i
\(754\) −1.67321 20.9360i −0.0609347 0.762443i
\(755\) 6.21370i 0.226140i
\(756\) −0.549915 + 27.0037i −0.0200002 + 0.982116i
\(757\) 19.5088i 0.709058i 0.935045 + 0.354529i \(0.115359\pi\)
−0.935045 + 0.354529i \(0.884641\pi\)
\(758\) −44.5277 + 3.55867i −1.61732 + 0.129257i
\(759\) −8.65844 15.0586i −0.314281 0.546592i
\(760\) −38.0235 + 51.7782i −1.37926 + 1.87819i
\(761\) −9.62500 + 26.4445i −0.348906 + 0.958612i 0.633809 + 0.773489i \(0.281490\pi\)
−0.982715 + 0.185122i \(0.940732\pi\)
\(762\) 19.2549 40.3100i 0.697530 1.46028i
\(763\) 2.86840 16.2675i 0.103843 0.588924i
\(764\) 18.7683 + 11.2154i 0.679015 + 0.405758i
\(765\) 29.5837 5.10808i 1.06960 0.184683i
\(766\) −7.73651 2.13544i −0.279532 0.0771565i
\(767\) 2.03797 0.741760i 0.0735868 0.0267834i
\(768\) −16.4660 22.2906i −0.594167 0.804342i
\(769\) 12.3157 10.3341i 0.444117 0.372658i −0.393130 0.919483i \(-0.628608\pi\)
0.837247 + 0.546824i \(0.184163\pi\)
\(770\) 1.49190 15.6932i 0.0537644 0.565543i
\(771\) −2.25463 + 1.88505i −0.0811987 + 0.0678883i
\(772\) 1.92204 + 5.53839i 0.0691756 + 0.199331i
\(773\) 6.27436 + 10.8675i