Properties

Label 74.2.f.b.9.2
Level $74$
Weight $2$
Character 74.9
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.2
Root \(2.14169 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 74.9
Dual form 74.2.f.b.33.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(0.504922 - 2.86356i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.266044 + 0.223238i) q^{5} +2.90773 q^{6} +(0.773586 + 0.649116i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-5.12593 - 1.86569i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(0.504922 - 2.86356i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.266044 + 0.223238i) q^{5} +2.90773 q^{6} +(0.773586 + 0.649116i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-5.12593 - 1.86569i) q^{9} +(-0.173648 + 0.300767i) q^{10} +(2.73237 + 4.73261i) q^{11} +(0.504922 + 2.86356i) q^{12} +(-5.97892 + 2.17615i) q^{13} +(-0.504922 + 0.874551i) q^{14} +(0.773586 - 0.649116i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.490749 - 0.178618i) q^{17} +(0.947234 - 5.37203i) q^{18} +(0.869950 - 4.93373i) q^{19} +(-0.326352 - 0.118782i) q^{20} +(2.24938 - 1.88745i) q^{21} +(-4.18624 + 3.51267i) q^{22} +(-0.721492 + 1.24966i) q^{23} +(-2.73237 + 0.994503i) q^{24} +(-0.847296 - 4.80526i) q^{25} +(-3.18132 - 5.51020i) q^{26} +(-3.56910 + 6.18186i) q^{27} +(-0.948944 - 0.345387i) q^{28} +(3.16714 + 5.48565i) q^{29} +(0.773586 + 0.649116i) q^{30} +3.30777 q^{31} +(0.766044 + 0.642788i) q^{32} +(14.9317 - 5.43471i) q^{33} +(0.0906868 - 0.514310i) q^{34} +(0.0609011 + 0.345387i) q^{35} +5.45490 q^{36} +(-5.88521 + 1.53765i) q^{37} +5.00984 q^{38} +(3.21264 + 18.2198i) q^{39} +(0.0603074 - 0.342020i) q^{40} +(1.03412 - 0.376390i) q^{41} +(2.24938 + 1.88745i) q^{42} -6.27037 q^{43} +(-4.18624 - 3.51267i) q^{44} +(-0.947234 - 1.64066i) q^{45} +(-1.35596 - 0.493529i) q^{46} +(5.71910 - 9.90577i) q^{47} +(-1.45387 - 2.51817i) q^{48} +(-1.03845 - 5.88936i) q^{49} +(4.58512 - 1.66885i) q^{50} +(-0.759273 + 1.31510i) q^{51} +(4.87406 - 4.08982i) q^{52} +(0.0706817 - 0.0593090i) q^{53} +(-6.70771 - 2.44141i) q^{54} +(-0.329565 + 1.86905i) q^{55} +(0.175358 - 0.994503i) q^{56} +(-13.6888 - 4.98230i) q^{57} +(-4.85235 + 4.07160i) q^{58} +(2.29059 - 1.92203i) q^{59} +(-0.504922 + 0.874551i) q^{60} +(-3.58571 + 1.30509i) q^{61} +(0.574388 + 3.25751i) q^{62} +(-2.75430 - 4.77059i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.07646 - 0.755769i) q^{65} +(7.94501 + 13.7612i) q^{66} +(-0.892251 - 0.748687i) q^{67} +0.522244 q^{68} +(3.21418 + 2.69701i) q^{69} +(-0.329565 + 0.119952i) q^{70} +(0.0543332 - 0.308139i) q^{71} +(0.947234 + 5.37203i) q^{72} +13.2325 q^{73} +(-2.53624 - 5.52879i) q^{74} -14.1879 q^{75} +(0.869950 + 4.93373i) q^{76} +(-0.958285 + 5.43471i) q^{77} +(-17.3851 + 6.32766i) q^{78} +(7.12939 + 5.98227i) q^{79} +0.347296 q^{80} +(3.36390 + 2.82265i) q^{81} +(0.550245 + 0.953052i) q^{82} +(-8.89395 - 3.23713i) q^{83} +(-1.46818 + 2.54296i) q^{84} +(-0.0906868 - 0.157074i) q^{85} +(-1.08884 - 6.17511i) q^{86} +(17.3076 - 6.29947i) q^{87} +(2.73237 - 4.73261i) q^{88} +(-12.0788 + 10.1354i) q^{89} +(1.45125 - 1.21774i) q^{90} +(-6.03778 - 2.19757i) q^{91} +(0.250571 - 1.42106i) q^{92} +(1.67017 - 9.47198i) q^{93} +(10.7484 + 3.91209i) q^{94} +(1.33284 - 1.11839i) q^{95} +(2.22745 - 1.86905i) q^{96} +(0.464564 - 0.804648i) q^{97} +(5.61956 - 2.04535i) q^{98} +(-5.17640 - 29.3568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) 0.504922 2.86356i 0.291517 1.65328i −0.389514 0.921021i \(-0.627357\pi\)
0.681031 0.732255i \(-0.261532\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.266044 + 0.223238i 0.118979 + 0.0998350i 0.700336 0.713814i \(-0.253034\pi\)
−0.581357 + 0.813649i \(0.697478\pi\)
\(6\) 2.90773 1.18708
\(7\) 0.773586 + 0.649116i 0.292388 + 0.245343i 0.777168 0.629294i \(-0.216656\pi\)
−0.484780 + 0.874636i \(0.661100\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −5.12593 1.86569i −1.70864 0.621896i
\(10\) −0.173648 + 0.300767i −0.0549124 + 0.0951110i
\(11\) 2.73237 + 4.73261i 0.823842 + 1.42694i 0.902801 + 0.430058i \(0.141507\pi\)
−0.0789595 + 0.996878i \(0.525160\pi\)
\(12\) 0.504922 + 2.86356i 0.145759 + 0.826638i
\(13\) −5.97892 + 2.17615i −1.65825 + 0.603555i −0.990087 0.140456i \(-0.955143\pi\)
−0.668167 + 0.744011i \(0.732921\pi\)
\(14\) −0.504922 + 0.874551i −0.134946 + 0.233734i
\(15\) 0.773586 0.649116i 0.199739 0.167601i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.490749 0.178618i −0.119024 0.0433212i 0.281821 0.959467i \(-0.409061\pi\)
−0.400846 + 0.916146i \(0.631284\pi\)
\(18\) 0.947234 5.37203i 0.223265 1.26620i
\(19\) 0.869950 4.93373i 0.199580 1.13188i −0.706163 0.708049i \(-0.749575\pi\)
0.905743 0.423827i \(-0.139313\pi\)
\(20\) −0.326352 0.118782i −0.0729745 0.0265605i
\(21\) 2.24938 1.88745i 0.490855 0.411876i
\(22\) −4.18624 + 3.51267i −0.892509 + 0.748904i
\(23\) −0.721492 + 1.24966i −0.150441 + 0.260572i −0.931390 0.364023i \(-0.881403\pi\)
0.780948 + 0.624596i \(0.214736\pi\)
\(24\) −2.73237 + 0.994503i −0.557744 + 0.203002i
\(25\) −0.847296 4.80526i −0.169459 0.961051i
\(26\) −3.18132 5.51020i −0.623908 1.08064i
\(27\) −3.56910 + 6.18186i −0.686874 + 1.18970i
\(28\) −0.948944 0.345387i −0.179333 0.0652720i
\(29\) 3.16714 + 5.48565i 0.588124 + 1.01866i 0.994478 + 0.104945i \(0.0334666\pi\)
−0.406354 + 0.913716i \(0.633200\pi\)
\(30\) 0.773586 + 0.649116i 0.141237 + 0.118512i
\(31\) 3.30777 0.594092 0.297046 0.954863i \(-0.403998\pi\)
0.297046 + 0.954863i \(0.403998\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 14.9317 5.43471i 2.59928 0.946061i
\(34\) 0.0906868 0.514310i 0.0155527 0.0882035i
\(35\) 0.0609011 + 0.345387i 0.0102942 + 0.0583811i
\(36\) 5.45490 0.909151
\(37\) −5.88521 + 1.53765i −0.967522 + 0.252787i
\(38\) 5.00984 0.812704
\(39\) 3.21264 + 18.2198i 0.514434 + 2.91750i
\(40\) 0.0603074 0.342020i 0.00953543 0.0540781i
\(41\) 1.03412 0.376390i 0.161503 0.0587822i −0.260004 0.965608i \(-0.583724\pi\)
0.421506 + 0.906825i \(0.361502\pi\)
\(42\) 2.24938 + 1.88745i 0.347087 + 0.291240i
\(43\) −6.27037 −0.956222 −0.478111 0.878299i \(-0.658678\pi\)
−0.478111 + 0.878299i \(0.658678\pi\)
\(44\) −4.18624 3.51267i −0.631099 0.529555i
\(45\) −0.947234 1.64066i −0.141205 0.244575i
\(46\) −1.35596 0.493529i −0.199926 0.0727670i
\(47\) 5.71910 9.90577i 0.834216 1.44491i −0.0604506 0.998171i \(-0.519254\pi\)
0.894667 0.446734i \(-0.147413\pi\)
\(48\) −1.45387 2.51817i −0.209847 0.363466i
\(49\) −1.03845 5.88936i −0.148350 0.841337i
\(50\) 4.58512 1.66885i 0.648434 0.236011i
\(51\) −0.759273 + 1.31510i −0.106320 + 0.184151i
\(52\) 4.87406 4.08982i 0.675911 0.567156i
\(53\) 0.0706817 0.0593090i 0.00970887 0.00814671i −0.637920 0.770102i \(-0.720205\pi\)
0.647629 + 0.761956i \(0.275761\pi\)
\(54\) −6.70771 2.44141i −0.912804 0.332234i
\(55\) −0.329565 + 1.86905i −0.0444385 + 0.252023i
\(56\) 0.175358 0.994503i 0.0234332 0.132896i
\(57\) −13.6888 4.98230i −1.81312 0.659922i
\(58\) −4.85235 + 4.07160i −0.637144 + 0.534628i
\(59\) 2.29059 1.92203i 0.298210 0.250228i −0.481389 0.876507i \(-0.659868\pi\)
0.779599 + 0.626279i \(0.215423\pi\)
\(60\) −0.504922 + 0.874551i −0.0651852 + 0.112904i
\(61\) −3.58571 + 1.30509i −0.459103 + 0.167100i −0.561210 0.827674i \(-0.689664\pi\)
0.102107 + 0.994773i \(0.467442\pi\)
\(62\) 0.574388 + 3.25751i 0.0729473 + 0.413705i
\(63\) −2.75430 4.77059i −0.347009 0.601038i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.07646 0.755769i −0.257553 0.0937416i
\(66\) 7.94501 + 13.7612i 0.977963 + 1.69388i
\(67\) −0.892251 0.748687i −0.109006 0.0914667i 0.586656 0.809836i \(-0.300444\pi\)
−0.695662 + 0.718370i \(0.744889\pi\)
\(68\) 0.522244 0.0633314
\(69\) 3.21418 + 2.69701i 0.386941 + 0.324682i
\(70\) −0.329565 + 0.119952i −0.0393905 + 0.0143370i
\(71\) 0.0543332 0.308139i 0.00644816 0.0365693i −0.981414 0.191903i \(-0.938534\pi\)
0.987862 + 0.155334i \(0.0496452\pi\)
\(72\) 0.947234 + 5.37203i 0.111633 + 0.633100i
\(73\) 13.2325 1.54875 0.774376 0.632726i \(-0.218064\pi\)
0.774376 + 0.632726i \(0.218064\pi\)
\(74\) −2.53624 5.52879i −0.294832 0.642708i
\(75\) −14.1879 −1.63828
\(76\) 0.869950 + 4.93373i 0.0997902 + 0.565938i
\(77\) −0.958285 + 5.43471i −0.109207 + 0.619342i
\(78\) −17.3851 + 6.32766i −1.96847 + 0.716466i
\(79\) 7.12939 + 5.98227i 0.802119 + 0.673058i 0.948713 0.316139i \(-0.102387\pi\)
−0.146594 + 0.989197i \(0.546831\pi\)
\(80\) 0.347296 0.0388289
\(81\) 3.36390 + 2.82265i 0.373767 + 0.313628i
\(82\) 0.550245 + 0.953052i 0.0607644 + 0.105247i
\(83\) −8.89395 3.23713i −0.976238 0.355322i −0.195862 0.980632i \(-0.562750\pi\)
−0.780377 + 0.625310i \(0.784973\pi\)
\(84\) −1.46818 + 2.54296i −0.160191 + 0.277460i
\(85\) −0.0906868 0.157074i −0.00983636 0.0170371i
\(86\) −1.08884 6.17511i −0.117412 0.665879i
\(87\) 17.3076 6.29947i 1.85557 0.675374i
\(88\) 2.73237 4.73261i 0.291272 0.504498i
\(89\) −12.0788 + 10.1354i −1.28035 + 1.07435i −0.287160 + 0.957883i \(0.592711\pi\)
−0.993195 + 0.116463i \(0.962844\pi\)
\(90\) 1.45125 1.21774i 0.152975 0.128361i
\(91\) −6.03778 2.19757i −0.632931 0.230368i
\(92\) 0.250571 1.42106i 0.0261239 0.148156i
\(93\) 1.67017 9.47198i 0.173188 0.982198i
\(94\) 10.7484 + 3.91209i 1.10861 + 0.403502i
\(95\) 1.33284 1.11839i 0.136747 0.114744i
\(96\) 2.22745 1.86905i 0.227338 0.190760i
\(97\) 0.464564 0.804648i 0.0471693 0.0816997i −0.841477 0.540293i \(-0.818313\pi\)
0.888646 + 0.458594i \(0.151647\pi\)
\(98\) 5.61956 2.04535i 0.567662 0.206612i
\(99\) −5.17640 29.3568i −0.520247 2.95047i
\(100\) 2.43969 + 4.22567i 0.243969 + 0.422567i
\(101\) −4.28093 + 7.41479i −0.425969 + 0.737799i −0.996510 0.0834694i \(-0.973400\pi\)
0.570542 + 0.821269i \(0.306733\pi\)
\(102\) −1.42697 0.519373i −0.141291 0.0514256i
\(103\) −2.47956 4.29473i −0.244319 0.423172i 0.717621 0.696434i \(-0.245231\pi\)
−0.961940 + 0.273261i \(0.911898\pi\)
\(104\) 4.87406 + 4.08982i 0.477941 + 0.401040i
\(105\) 1.01979 0.0995209
\(106\) 0.0706817 + 0.0593090i 0.00686521 + 0.00576059i
\(107\) 3.35307 1.22042i 0.324153 0.117982i −0.174818 0.984601i \(-0.555934\pi\)
0.498971 + 0.866619i \(0.333711\pi\)
\(108\) 1.23954 7.02975i 0.119274 0.676438i
\(109\) −0.169947 0.963819i −0.0162780 0.0923171i 0.975586 0.219616i \(-0.0704804\pi\)
−0.991864 + 0.127299i \(0.959369\pi\)
\(110\) −1.89789 −0.180956
\(111\) 1.43157 + 17.6290i 0.135878 + 1.67327i
\(112\) 1.00984 0.0954213
\(113\) 1.60399 + 9.09669i 0.150891 + 0.855745i 0.962447 + 0.271470i \(0.0875098\pi\)
−0.811556 + 0.584275i \(0.801379\pi\)
\(114\) 2.52958 14.3460i 0.236917 1.34362i
\(115\) −0.470920 + 0.171401i −0.0439136 + 0.0159832i
\(116\) −4.85235 4.07160i −0.450529 0.378039i
\(117\) 34.7076 3.20871
\(118\) 2.29059 + 1.92203i 0.210866 + 0.176938i
\(119\) −0.263693 0.456729i −0.0241727 0.0418683i
\(120\) −0.948944 0.345387i −0.0866263 0.0315294i
\(121\) −9.43174 + 16.3362i −0.857430 + 1.48511i
\(122\) −1.90792 3.30461i −0.172735 0.299185i
\(123\) −0.555662 3.15132i −0.0501023 0.284145i
\(124\) −3.10828 + 1.13132i −0.279132 + 0.101596i
\(125\) 1.71554 2.97140i 0.153442 0.265770i
\(126\) 4.21984 3.54086i 0.375933 0.315445i
\(127\) 5.18728 4.35264i 0.460296 0.386235i −0.382944 0.923772i \(-0.625090\pi\)
0.843240 + 0.537537i \(0.180645\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) −3.16605 + 17.9556i −0.278755 + 1.58090i
\(130\) 0.383714 2.17615i 0.0336539 0.190861i
\(131\) 14.2349 + 5.18108i 1.24371 + 0.452673i 0.878271 0.478163i \(-0.158697\pi\)
0.365438 + 0.930836i \(0.380919\pi\)
\(132\) −12.1725 + 10.2139i −1.05948 + 0.889007i
\(133\) 3.87554 3.25197i 0.336052 0.281981i
\(134\) 0.582375 1.00870i 0.0503096 0.0871387i
\(135\) −2.32956 + 0.847892i −0.200497 + 0.0729749i
\(136\) 0.0906868 + 0.514310i 0.00777633 + 0.0441017i
\(137\) 4.24086 + 7.34539i 0.362321 + 0.627559i 0.988342 0.152247i \(-0.0486510\pi\)
−0.626021 + 0.779806i \(0.715318\pi\)
\(138\) −2.09790 + 3.63368i −0.178586 + 0.309319i
\(139\) 17.2324 + 6.27209i 1.46164 + 0.531992i 0.945815 0.324705i \(-0.105265\pi\)
0.515820 + 0.856697i \(0.327487\pi\)
\(140\) −0.175358 0.303728i −0.0148204 0.0256697i
\(141\) −25.4780 21.3786i −2.14564 1.80040i
\(142\) 0.312892 0.0262573
\(143\) −26.6355 22.3499i −2.22737 1.86899i
\(144\) −5.12593 + 1.86569i −0.427161 + 0.155474i
\(145\) −0.382004 + 2.16645i −0.0317237 + 0.179914i
\(146\) 2.29781 + 13.0315i 0.190168 + 1.07850i
\(147\) −17.3889 −1.43421
\(148\) 5.00438 3.45777i 0.411357 0.284227i
\(149\) 5.45291 0.446720 0.223360 0.974736i \(-0.428297\pi\)
0.223360 + 0.974736i \(0.428297\pi\)
\(150\) −2.46371 13.9724i −0.201161 1.14084i
\(151\) −2.70116 + 15.3190i −0.219817 + 1.24665i 0.652531 + 0.757762i \(0.273707\pi\)
−0.872349 + 0.488884i \(0.837404\pi\)
\(152\) −4.70771 + 1.71347i −0.381846 + 0.138981i
\(153\) 2.18230 + 1.83117i 0.176429 + 0.148041i
\(154\) −5.51855 −0.444697
\(155\) 0.880013 + 0.738419i 0.0706843 + 0.0593112i
\(156\) −9.25042 16.0222i −0.740626 1.28280i
\(157\) 3.76650 + 1.37089i 0.300599 + 0.109409i 0.487916 0.872890i \(-0.337757\pi\)
−0.187317 + 0.982299i \(0.559979\pi\)
\(158\) −4.65338 + 8.05989i −0.370203 + 0.641211i
\(159\) −0.134146 0.232347i −0.0106385 0.0184263i
\(160\) 0.0603074 + 0.342020i 0.00476772 + 0.0270391i
\(161\) −1.36931 + 0.498388i −0.107917 + 0.0392785i
\(162\) −2.19563 + 3.80294i −0.172505 + 0.298787i
\(163\) 3.59446 3.01611i 0.281540 0.236240i −0.491072 0.871119i \(-0.663395\pi\)
0.772611 + 0.634879i \(0.218950\pi\)
\(164\) −0.843024 + 0.707381i −0.0658291 + 0.0552372i
\(165\) 5.18574 + 1.88745i 0.403709 + 0.146938i
\(166\) 1.64354 9.32096i 0.127563 0.723447i
\(167\) −0.134923 + 0.765189i −0.0104407 + 0.0592121i −0.989583 0.143964i \(-0.954015\pi\)
0.979142 + 0.203176i \(0.0651263\pi\)
\(168\) −2.75927 1.00429i −0.212883 0.0774829i
\(169\) 21.0533 17.6658i 1.61948 1.35891i
\(170\) 0.138940 0.116585i 0.0106562 0.00894164i
\(171\) −13.6641 + 23.6669i −1.04492 + 1.80986i
\(172\) 5.89222 2.14459i 0.449277 0.163524i
\(173\) 1.86383 + 10.5703i 0.141704 + 0.803644i 0.969955 + 0.243286i \(0.0782253\pi\)
−0.828251 + 0.560358i \(0.810664\pi\)
\(174\) 9.20921 + 15.9508i 0.698148 + 1.20923i
\(175\) 2.46371 4.26727i 0.186239 0.322575i
\(176\) 5.13518 + 1.86905i 0.387079 + 0.140885i
\(177\) −4.34728 7.52972i −0.326762 0.565968i
\(178\) −12.0788 10.1354i −0.905348 0.759677i
\(179\) −11.8976 −0.889267 −0.444633 0.895713i \(-0.646666\pi\)
−0.444633 + 0.895713i \(0.646666\pi\)
\(180\) 1.45125 + 1.21774i 0.108170 + 0.0907650i
\(181\) −4.12213 + 1.50033i −0.306395 + 0.111519i −0.490642 0.871361i \(-0.663238\pi\)
0.184247 + 0.982880i \(0.441015\pi\)
\(182\) 1.11574 6.32766i 0.0827039 0.469037i
\(183\) 1.92670 + 10.9268i 0.142426 + 0.807736i
\(184\) 1.44298 0.106378
\(185\) −1.90899 0.904718i −0.140352 0.0665162i
\(186\) 9.61810 0.705233
\(187\) −0.495580 2.81058i −0.0362404 0.205530i
\(188\) −1.98622 + 11.2644i −0.144860 + 0.821543i
\(189\) −6.77375 + 2.46544i −0.492718 + 0.179335i
\(190\) 1.33284 + 1.11839i 0.0966945 + 0.0811363i
\(191\) −10.4903 −0.759053 −0.379527 0.925181i \(-0.623913\pi\)
−0.379527 + 0.925181i \(0.623913\pi\)
\(192\) 2.22745 + 1.86905i 0.160752 + 0.134887i
\(193\) −4.91474 8.51259i −0.353771 0.612749i 0.633136 0.774041i \(-0.281767\pi\)
−0.986907 + 0.161291i \(0.948434\pi\)
\(194\) 0.873095 + 0.317780i 0.0626845 + 0.0228153i
\(195\) −3.21264 + 5.56445i −0.230062 + 0.398478i
\(196\) 2.99011 + 5.17902i 0.213579 + 0.369930i
\(197\) −2.09473 11.8798i −0.149244 0.846402i −0.963861 0.266404i \(-0.914164\pi\)
0.814618 0.579998i \(-0.196947\pi\)
\(198\) 28.0119 10.1955i 1.99072 0.724563i
\(199\) 4.64995 8.05395i 0.329626 0.570929i −0.652811 0.757520i \(-0.726411\pi\)
0.982438 + 0.186591i \(0.0597439\pi\)
\(200\) −3.73783 + 3.13641i −0.264304 + 0.221778i
\(201\) −2.59443 + 2.17698i −0.182997 + 0.153552i
\(202\) −8.04552 2.92833i −0.566081 0.206037i
\(203\) −1.11077 + 6.29947i −0.0779605 + 0.442136i
\(204\) 0.263693 1.49548i 0.0184622 0.104704i
\(205\) 0.359147 + 0.130719i 0.0250839 + 0.00912980i
\(206\) 3.79891 3.18767i 0.264683 0.222095i
\(207\) 6.02979 5.05960i 0.419100 0.351666i
\(208\) −3.18132 + 5.51020i −0.220585 + 0.382064i
\(209\) 25.7265 9.36367i 1.77954 0.647699i
\(210\) 0.177084 + 1.00429i 0.0122200 + 0.0693028i
\(211\) 2.20002 + 3.81054i 0.151455 + 0.262329i 0.931763 0.363068i \(-0.118271\pi\)
−0.780307 + 0.625396i \(0.784937\pi\)
\(212\) −0.0461342 + 0.0799067i −0.00316851 + 0.00548802i
\(213\) −0.854939 0.311172i −0.0585794 0.0213212i
\(214\) 1.78413 + 3.09020i 0.121961 + 0.211242i
\(215\) −1.66820 1.39978i −0.113770 0.0954644i
\(216\) 7.13820 0.485693
\(217\) 2.55884 + 2.14712i 0.173705 + 0.145756i
\(218\) 0.919666 0.334731i 0.0622876 0.0226708i
\(219\) 6.68141 37.8921i 0.451488 2.56051i
\(220\) −0.329565 1.86905i −0.0222192 0.126012i
\(221\) 3.32285 0.223519
\(222\) −17.1126 + 4.47106i −1.14852 + 0.300078i
\(223\) 11.2311 0.752092 0.376046 0.926601i \(-0.377283\pi\)
0.376046 + 0.926601i \(0.377283\pi\)
\(224\) 0.175358 + 0.994503i 0.0117166 + 0.0664480i
\(225\) −4.62192 + 26.2122i −0.308128 + 1.74748i
\(226\) −8.67996 + 3.15925i −0.577382 + 0.210150i
\(227\) −11.6086 9.74076i −0.770489 0.646517i 0.170345 0.985384i \(-0.445512\pi\)
−0.940834 + 0.338868i \(0.889956\pi\)
\(228\) 14.5673 0.964742
\(229\) −11.9210 10.0029i −0.787759 0.661008i 0.157431 0.987530i \(-0.449679\pi\)
−0.945190 + 0.326522i \(0.894123\pi\)
\(230\) −0.250571 0.434003i −0.0165222 0.0286173i
\(231\) 15.0787 + 5.48821i 0.992108 + 0.361098i
\(232\) 3.16714 5.48565i 0.207933 0.360151i
\(233\) −6.79356 11.7668i −0.445061 0.770868i 0.552995 0.833184i \(-0.313485\pi\)
−0.998056 + 0.0623159i \(0.980151\pi\)
\(234\) 6.02690 + 34.1803i 0.393991 + 2.23443i
\(235\) 3.73288 1.35866i 0.243506 0.0886289i
\(236\) −1.49508 + 2.58955i −0.0973213 + 0.168565i
\(237\) 20.7304 17.3948i 1.34658 1.12992i
\(238\) 0.404001 0.338997i 0.0261875 0.0219739i
\(239\) 18.3188 + 6.66750i 1.18494 + 0.431285i 0.857946 0.513740i \(-0.171740\pi\)
0.326999 + 0.945025i \(0.393963\pi\)
\(240\) 0.175358 0.994503i 0.0113193 0.0641949i
\(241\) 0.250684 1.42170i 0.0161480 0.0915797i −0.975669 0.219250i \(-0.929639\pi\)
0.991817 + 0.127671i \(0.0407500\pi\)
\(242\) −17.7259 6.45169i −1.13946 0.414730i
\(243\) −6.62322 + 5.55754i −0.424879 + 0.356516i
\(244\) 2.92310 2.45277i 0.187132 0.157022i
\(245\) 1.03845 1.79865i 0.0663443 0.114912i
\(246\) 3.00695 1.09444i 0.191716 0.0697790i
\(247\) 5.53518 + 31.3915i 0.352195 + 1.99740i
\(248\) −1.65388 2.86461i −0.105022 0.181903i
\(249\) −13.7605 + 23.8338i −0.872035 + 1.51041i
\(250\) 3.22416 + 1.17350i 0.203913 + 0.0742184i
\(251\) −5.03646 8.72340i −0.317898 0.550616i 0.662151 0.749371i \(-0.269644\pi\)
−0.980049 + 0.198754i \(0.936310\pi\)
\(252\) 4.21984 + 3.54086i 0.265825 + 0.223053i
\(253\) −7.88554 −0.495760
\(254\) 5.18728 + 4.35264i 0.325479 + 0.273109i
\(255\) −0.495580 + 0.180376i −0.0310344 + 0.0112956i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −1.21293 6.87888i −0.0756607 0.429093i −0.998984 0.0450692i \(-0.985649\pi\)
0.923323 0.384024i \(-0.125462\pi\)
\(258\) −18.2325 −1.13511
\(259\) −5.55082 2.63068i −0.344911 0.163462i
\(260\) 2.20972 0.137041
\(261\) −6.00005 34.0280i −0.371394 2.10628i
\(262\) −2.63050 + 14.9183i −0.162513 + 0.921657i
\(263\) −2.50225 + 0.910746i −0.154296 + 0.0561590i −0.418013 0.908441i \(-0.637273\pi\)
0.263718 + 0.964600i \(0.415051\pi\)
\(264\) −12.1725 10.2139i −0.749163 0.628623i
\(265\) 0.0320445 0.00196848
\(266\) 3.87554 + 3.25197i 0.237625 + 0.199391i
\(267\) 22.9243 + 39.7060i 1.40294 + 2.42997i
\(268\) 1.09451 + 0.398368i 0.0668577 + 0.0243342i
\(269\) −1.20752 + 2.09148i −0.0736236 + 0.127520i −0.900487 0.434883i \(-0.856790\pi\)
0.826863 + 0.562403i \(0.190123\pi\)
\(270\) −1.23954 2.14694i −0.0754357 0.130659i
\(271\) −4.38472 24.8670i −0.266353 1.51056i −0.765156 0.643845i \(-0.777338\pi\)
0.498803 0.866715i \(-0.333773\pi\)
\(272\) −0.490749 + 0.178618i −0.0297560 + 0.0108303i
\(273\) −9.34148 + 16.1799i −0.565372 + 0.979254i
\(274\) −6.49738 + 5.45195i −0.392521 + 0.329364i
\(275\) 20.4263 17.1397i 1.23175 1.03356i
\(276\) −3.94277 1.43505i −0.237327 0.0863799i
\(277\) −3.07913 + 17.4626i −0.185007 + 1.04923i 0.740940 + 0.671571i \(0.234380\pi\)
−0.925947 + 0.377654i \(0.876731\pi\)
\(278\) −3.18442 + 18.0598i −0.190989 + 1.08315i
\(279\) −16.9554 6.17126i −1.01509 0.369464i
\(280\) 0.268664 0.225435i 0.0160557 0.0134723i
\(281\) 15.1288 12.6946i 0.902511 0.757297i −0.0681682 0.997674i \(-0.521715\pi\)
0.970680 + 0.240377i \(0.0772710\pi\)
\(282\) 16.6296 28.8033i 0.990279 1.71521i
\(283\) −22.8810 + 8.32799i −1.36013 + 0.495047i −0.916095 0.400961i \(-0.868676\pi\)
−0.444037 + 0.896009i \(0.646454\pi\)
\(284\) 0.0543332 + 0.308139i 0.00322408 + 0.0182847i
\(285\) −2.52958 4.38137i −0.149840 0.259530i
\(286\) 17.3851 30.1119i 1.02800 1.78055i
\(287\) 1.04430 + 0.380095i 0.0616432 + 0.0224363i
\(288\) −2.72745 4.72408i −0.160717 0.278369i
\(289\) −12.8138 10.7521i −0.753754 0.632475i
\(290\) −2.19988 −0.129181
\(291\) −2.06959 1.73659i −0.121321 0.101801i
\(292\) −12.4345 + 4.52580i −0.727675 + 0.264852i
\(293\) −4.03707 + 22.8954i −0.235848 + 1.33756i 0.604972 + 0.796247i \(0.293184\pi\)
−0.840820 + 0.541315i \(0.817927\pi\)
\(294\) −3.01954 17.1247i −0.176103 0.998732i
\(295\) 1.03847 0.0604621
\(296\) 4.27424 + 4.32791i 0.248435 + 0.251555i
\(297\) −39.0085 −2.26350
\(298\) 0.946888 + 5.37007i 0.0548518 + 0.311080i
\(299\) 1.59429 9.04170i 0.0922005 0.522895i
\(300\) 13.3323 4.85256i 0.769741 0.280163i
\(301\) −4.85067 4.07019i −0.279588 0.234602i
\(302\) −15.5554 −0.895111
\(303\) 19.0711 + 16.0026i 1.09561 + 0.919324i
\(304\) −2.50492 4.33865i −0.143667 0.248839i
\(305\) −1.24530 0.453253i −0.0713059 0.0259532i
\(306\) −1.42440 + 2.46713i −0.0814273 + 0.141036i
\(307\) 5.33508 + 9.24063i 0.304489 + 0.527391i 0.977147 0.212563i \(-0.0681809\pi\)
−0.672658 + 0.739953i \(0.734848\pi\)
\(308\) −0.958285 5.43471i −0.0546034 0.309671i
\(309\) −13.5502 + 4.93187i −0.770843 + 0.280564i
\(310\) −0.574388 + 0.994869i −0.0326230 + 0.0565047i
\(311\) 13.0382 10.9403i 0.739326 0.620368i −0.193330 0.981134i \(-0.561929\pi\)
0.932657 + 0.360765i \(0.117484\pi\)
\(312\) 14.1725 11.8921i 0.802358 0.673258i
\(313\) −10.2525 3.73159i −0.579503 0.210922i 0.0356035 0.999366i \(-0.488665\pi\)
−0.615106 + 0.788444i \(0.710887\pi\)
\(314\) −0.696020 + 3.94733i −0.0392787 + 0.222761i
\(315\) 0.332210 1.88405i 0.0187179 0.106154i
\(316\) −8.74550 3.18310i −0.491973 0.179063i
\(317\) −22.0930 + 18.5382i −1.24086 + 1.04121i −0.243409 + 0.969924i \(0.578266\pi\)
−0.997456 + 0.0712854i \(0.977290\pi\)
\(318\) 0.205523 0.172455i 0.0115252 0.00967077i
\(319\) −17.3076 + 29.9777i −0.969042 + 1.67843i
\(320\) −0.326352 + 0.118782i −0.0182436 + 0.00664014i
\(321\) −1.80169 10.2179i −0.100561 0.570308i
\(322\) −0.728595 1.26196i −0.0406030 0.0703264i
\(323\) −1.30818 + 2.26584i −0.0727892 + 0.126075i
\(324\) −4.12644 1.50190i −0.229246 0.0834389i
\(325\) 15.5229 + 26.8864i 0.861054 + 1.49139i
\(326\) 3.59446 + 3.01611i 0.199079 + 0.167047i
\(327\) −2.84576 −0.157371
\(328\) −0.843024 0.707381i −0.0465482 0.0390586i
\(329\) 10.8542 3.95061i 0.598412 0.217804i
\(330\) −0.958285 + 5.43471i −0.0527519 + 0.299171i
\(331\) 0.687569 + 3.89939i 0.0377922 + 0.214330i 0.997856 0.0654519i \(-0.0208489\pi\)
−0.960064 + 0.279782i \(0.909738\pi\)
\(332\) 9.46475 0.519446
\(333\) 33.0359 + 3.09808i 1.81036 + 0.169774i
\(334\) −0.776993 −0.0425152
\(335\) −0.0702431 0.398368i −0.00383779 0.0217652i
\(336\) 0.509893 2.89175i 0.0278169 0.157758i
\(337\) 4.01886 1.46274i 0.218921 0.0796807i −0.230231 0.973136i \(-0.573948\pi\)
0.449152 + 0.893455i \(0.351726\pi\)
\(338\) 21.0533 + 17.6658i 1.14515 + 0.960893i
\(339\) 26.8588 1.45877
\(340\) 0.138940 + 0.116585i 0.00753509 + 0.00632269i
\(341\) 9.03806 + 15.6544i 0.489438 + 0.847732i
\(342\) −25.6801 9.34680i −1.38862 0.505417i
\(343\) 6.55400 11.3519i 0.353883 0.612943i
\(344\) 3.13518 + 5.43030i 0.169038 + 0.292782i
\(345\) 0.253038 + 1.43505i 0.0136231 + 0.0772606i
\(346\) −10.0860 + 3.67102i −0.542229 + 0.197355i
\(347\) 5.06401 8.77113i 0.271850 0.470859i −0.697485 0.716599i \(-0.745698\pi\)
0.969336 + 0.245740i \(0.0790310\pi\)
\(348\) −14.1093 + 11.8391i −0.756339 + 0.634644i
\(349\) −5.50852 + 4.62220i −0.294864 + 0.247421i −0.778203 0.628013i \(-0.783869\pi\)
0.483338 + 0.875434i \(0.339424\pi\)
\(350\) 4.63026 + 1.68528i 0.247498 + 0.0900819i
\(351\) 7.88671 44.7278i 0.420962 2.38739i
\(352\) −0.948944 + 5.38173i −0.0505789 + 0.286847i
\(353\) 32.0012 + 11.6475i 1.70325 + 0.619933i 0.996189 0.0872167i \(-0.0277972\pi\)
0.707064 + 0.707150i \(0.250019\pi\)
\(354\) 6.66043 5.58876i 0.353998 0.297039i
\(355\) 0.0832432 0.0698494i 0.00441809 0.00370722i
\(356\) 7.88391 13.6553i 0.417846 0.723731i
\(357\) −1.44101 + 0.524486i −0.0762666 + 0.0277588i
\(358\) −2.06599 11.7168i −0.109191 0.619254i
\(359\) −4.93976 8.55592i −0.260711 0.451564i 0.705720 0.708491i \(-0.250624\pi\)
−0.966431 + 0.256926i \(0.917290\pi\)
\(360\) −0.947234 + 1.64066i −0.0499236 + 0.0864702i
\(361\) −5.73076 2.08582i −0.301619 0.109780i
\(362\) −2.19334 3.79897i −0.115279 0.199670i
\(363\) 42.0175 + 35.2568i 2.20535 + 1.85050i
\(364\) 6.42527 0.336776
\(365\) 3.52044 + 2.95400i 0.184268 + 0.154620i
\(366\) −10.4263 + 3.79485i −0.544990 + 0.198360i
\(367\) −5.88735 + 33.3888i −0.307317 + 1.74288i 0.305074 + 0.952329i \(0.401319\pi\)
−0.612391 + 0.790555i \(0.709792\pi\)
\(368\) 0.250571 + 1.42106i 0.0130619 + 0.0740780i
\(369\) −6.00307 −0.312507
\(370\) 0.559481 2.03709i 0.0290860 0.105903i
\(371\) 0.0931767 0.00483749
\(372\) 1.67017 + 9.47198i 0.0865940 + 0.491099i
\(373\) 5.44457 30.8777i 0.281909 1.59879i −0.434212 0.900811i \(-0.642973\pi\)
0.716121 0.697976i \(-0.245916\pi\)
\(374\) 2.68182 0.976103i 0.138674 0.0504731i
\(375\) −7.64255 6.41286i −0.394660 0.331159i
\(376\) −11.4382 −0.589880
\(377\) −30.8737 25.9061i −1.59008 1.33423i
\(378\) −3.60424 6.24272i −0.185382 0.321091i
\(379\) −10.0119 3.64403i −0.514276 0.187181i 0.0718279 0.997417i \(-0.477117\pi\)
−0.586104 + 0.810236i \(0.699339\pi\)
\(380\) −0.869950 + 1.50680i −0.0446275 + 0.0772971i
\(381\) −9.84487 17.0518i −0.504368 0.873591i
\(382\) −1.82163 10.3310i −0.0932025 0.528577i
\(383\) −18.2315 + 6.63571i −0.931585 + 0.339069i −0.762838 0.646590i \(-0.776194\pi\)
−0.168747 + 0.985659i \(0.553972\pi\)
\(384\) −1.45387 + 2.51817i −0.0741923 + 0.128505i
\(385\) −1.46818 + 1.23195i −0.0748253 + 0.0627859i
\(386\) 7.52982 6.31827i 0.383258 0.321592i
\(387\) 32.1415 + 11.6985i 1.63384 + 0.594670i
\(388\) −0.161341 + 0.915012i −0.00819087 + 0.0464527i
\(389\) 3.24705 18.4149i 0.164632 0.933674i −0.784811 0.619735i \(-0.787240\pi\)
0.949443 0.313939i \(-0.101649\pi\)
\(390\) −6.03778 2.19757i −0.305735 0.111278i
\(391\) 0.577283 0.484398i 0.0291945 0.0244971i
\(392\) −4.58111 + 3.84401i −0.231381 + 0.194152i
\(393\) 22.0238 38.1464i 1.11096 1.92423i
\(394\) 11.3356 4.12582i 0.571079 0.207856i
\(395\) 0.561266 + 3.18310i 0.0282404 + 0.160159i
\(396\) 14.9048 + 25.8159i 0.748996 + 1.29730i
\(397\) 11.9316 20.6661i 0.598829 1.03720i −0.394165 0.919040i \(-0.628966\pi\)
0.992994 0.118163i \(-0.0377005\pi\)
\(398\) 8.73905 + 3.18075i 0.438049 + 0.159437i
\(399\) −7.35535 12.7398i −0.368228 0.637789i
\(400\) −3.73783 3.13641i −0.186891 0.156820i
\(401\) 17.8350 0.890638 0.445319 0.895372i \(-0.353090\pi\)
0.445319 + 0.895372i \(0.353090\pi\)
\(402\) −2.59443 2.17698i −0.129398 0.108578i
\(403\) −19.7769 + 7.19819i −0.985156 + 0.358568i
\(404\) 1.48675 8.43179i 0.0739687 0.419497i
\(405\) 0.264825 + 1.50190i 0.0131593 + 0.0746300i
\(406\) −6.39665 −0.317460
\(407\) −23.3577 23.6510i −1.15780 1.17233i
\(408\) 1.51855 0.0751792
\(409\) −1.73417 9.83496i −0.0857492 0.486308i −0.997192 0.0748818i \(-0.976142\pi\)
0.911443 0.411426i \(-0.134969\pi\)
\(410\) −0.0663677 + 0.376390i −0.00327767 + 0.0185886i
\(411\) 23.1752 8.43510i 1.14315 0.416073i
\(412\) 3.79891 + 3.18767i 0.187159 + 0.157045i
\(413\) 3.01959 0.148584
\(414\) 6.02979 + 5.05960i 0.296348 + 0.248666i
\(415\) −1.64354 2.84669i −0.0806780 0.139738i
\(416\) −5.97892 2.17615i −0.293141 0.106694i
\(417\) 26.6615 46.1791i 1.30562 2.26140i
\(418\) 13.6888 + 23.7096i 0.669540 + 1.15968i
\(419\) 6.25638 + 35.4817i 0.305644 + 1.73340i 0.620456 + 0.784241i \(0.286948\pi\)
−0.314812 + 0.949154i \(0.601941\pi\)
\(420\) −0.958285 + 0.348787i −0.0467595 + 0.0170191i
\(421\) −11.1668 + 19.3414i −0.544235 + 0.942643i 0.454419 + 0.890788i \(0.349847\pi\)
−0.998655 + 0.0518555i \(0.983486\pi\)
\(422\) −3.37062 + 2.82829i −0.164079 + 0.137679i
\(423\) −47.7968 + 40.1063i −2.32396 + 1.95003i
\(424\) −0.0867039 0.0315576i −0.00421071 0.00153257i
\(425\) −0.442496 + 2.50952i −0.0214642 + 0.121729i
\(426\) 0.157986 0.895985i 0.00765446 0.0434106i
\(427\) −3.62101 1.31794i −0.175233 0.0637796i
\(428\) −2.73344 + 2.29363i −0.132126 + 0.110867i
\(429\) −77.4489 + 64.9874i −3.73927 + 3.13762i
\(430\) 1.08884 1.88592i 0.0525084 0.0909472i
\(431\) −29.3710 + 10.6902i −1.41475 + 0.514928i −0.932521 0.361116i \(-0.882396\pi\)
−0.482231 + 0.876044i \(0.660173\pi\)
\(432\) 1.23954 + 7.02975i 0.0596372 + 0.338219i
\(433\) −2.71093 4.69547i −0.130279 0.225650i 0.793505 0.608564i \(-0.208254\pi\)
−0.923784 + 0.382914i \(0.874921\pi\)
\(434\) −1.67017 + 2.89281i −0.0801705 + 0.138859i
\(435\) 6.01088 + 2.18778i 0.288200 + 0.104896i
\(436\) 0.489344 + 0.847568i 0.0234353 + 0.0405912i
\(437\) 5.53783 + 4.64679i 0.264910 + 0.222286i
\(438\) 38.4767 1.83849
\(439\) −11.8195 9.91772i −0.564113 0.473347i 0.315573 0.948901i \(-0.397803\pi\)
−0.879687 + 0.475554i \(0.842248\pi\)
\(440\) 1.78343 0.649116i 0.0850217 0.0309454i
\(441\) −5.66466 + 32.1259i −0.269746 + 1.52980i
\(442\) 0.577007 + 3.27237i 0.0274454 + 0.155651i
\(443\) −8.45523 −0.401720 −0.200860 0.979620i \(-0.564374\pi\)
−0.200860 + 0.979620i \(0.564374\pi\)
\(444\) −7.37471 16.0762i −0.349988 0.762944i
\(445\) −5.47610 −0.259592
\(446\) 1.95027 + 11.0605i 0.0923478 + 0.523730i
\(447\) 2.75330 15.6147i 0.130226 0.738551i
\(448\) −0.948944 + 0.345387i −0.0448334 + 0.0163180i
\(449\) 27.8798 + 23.3939i 1.31573 + 1.10403i 0.987192 + 0.159538i \(0.0510004\pi\)
0.328538 + 0.944491i \(0.393444\pi\)
\(450\) −26.6166 −1.25472
\(451\) 4.60691 + 3.86566i 0.216931 + 0.182027i
\(452\) −4.61851 7.99950i −0.217236 0.376265i
\(453\) 42.5031 + 15.4699i 1.99697 + 0.726837i
\(454\) 7.57697 13.1237i 0.355605 0.615925i
\(455\) −1.11574 1.93251i −0.0523066 0.0905976i
\(456\) 2.52958 + 14.3460i 0.118459 + 0.671812i
\(457\) −12.2550 + 4.46044i −0.573263 + 0.208651i −0.612352 0.790585i \(-0.709777\pi\)
0.0390893 + 0.999236i \(0.487554\pi\)
\(458\) 7.78085 13.4768i 0.363575 0.629731i
\(459\) 2.85572 2.39624i 0.133294 0.111847i
\(460\) 0.383898 0.322128i 0.0178993 0.0150193i
\(461\) −16.5840 6.03608i −0.772393 0.281128i −0.0743962 0.997229i \(-0.523703\pi\)
−0.697997 + 0.716101i \(0.745925\pi\)
\(462\) −2.78644 + 15.8027i −0.129637 + 0.735207i
\(463\) 4.60063 26.0915i 0.213809 1.21257i −0.669151 0.743126i \(-0.733342\pi\)
0.882961 0.469447i \(-0.155547\pi\)
\(464\) 5.95228 + 2.16645i 0.276328 + 0.100575i
\(465\) 2.55884 2.14712i 0.118663 0.0995705i
\(466\) 10.4083 8.73363i 0.482157 0.404578i
\(467\) 9.54875 16.5389i 0.441864 0.765330i −0.555964 0.831206i \(-0.687651\pi\)
0.997828 + 0.0658760i \(0.0209842\pi\)
\(468\) −32.6144 + 11.8707i −1.50760 + 0.548723i
\(469\) −0.204248 1.15835i −0.00943129 0.0534875i
\(470\) 1.98622 + 3.44024i 0.0916176 + 0.158686i
\(471\) 5.82742 10.0934i 0.268513 0.465078i
\(472\) −2.80983 1.02269i −0.129333 0.0470733i
\(473\) −17.1330 29.6752i −0.787776 1.36447i
\(474\) 20.7304 + 17.3948i 0.952177 + 0.798971i
\(475\) −24.4450 −1.12161
\(476\) 0.404001 + 0.338997i 0.0185173 + 0.0155379i
\(477\) −0.472961 + 0.172144i −0.0216554 + 0.00788193i
\(478\) −3.38518 + 19.1983i −0.154834 + 0.878110i
\(479\) 3.33101 + 18.8911i 0.152198 + 0.863156i 0.961303 + 0.275492i \(0.0888409\pi\)
−0.809106 + 0.587663i \(0.800048\pi\)
\(480\) 1.00984 0.0460929
\(481\) 31.8410 22.0006i 1.45183 1.00314i
\(482\) 1.44363 0.0657556
\(483\) 0.735767 + 4.17274i 0.0334786 + 0.189866i
\(484\) 3.27561 18.5769i 0.148891 0.844404i
\(485\) 0.303223 0.110364i 0.0137686 0.00501137i
\(486\) −6.62322 5.55754i −0.300435 0.252095i
\(487\) −35.7577 −1.62034 −0.810168 0.586197i \(-0.800624\pi\)
−0.810168 + 0.586197i \(0.800624\pi\)
\(488\) 2.92310 + 2.45277i 0.132322 + 0.111032i
\(489\) −6.82188 11.8158i −0.308496 0.534331i
\(490\) 1.95165 + 0.710344i 0.0881667 + 0.0320901i
\(491\) −14.8866 + 25.7843i −0.671822 + 1.16363i 0.305565 + 0.952171i \(0.401155\pi\)
−0.977387 + 0.211459i \(0.932179\pi\)
\(492\) 1.59996 + 2.77122i 0.0721320 + 0.124936i
\(493\) −0.574436 3.25779i −0.0258713 0.146723i
\(494\) −29.9535 + 10.9022i −1.34767 + 0.490512i
\(495\) 5.17640 8.96578i 0.232662 0.402982i
\(496\) 2.53390 2.12619i 0.113775 0.0954688i
\(497\) 0.242049 0.203103i 0.0108574 0.00911043i
\(498\) −25.8612 9.41272i −1.15887 0.421794i
\(499\) 4.30958 24.4409i 0.192923 1.09412i −0.722422 0.691453i \(-0.756971\pi\)
0.915345 0.402670i \(-0.131918\pi\)
\(500\) −0.595800 + 3.37895i −0.0266450 + 0.151111i
\(501\) 2.12304 + 0.772722i 0.0948503 + 0.0345227i
\(502\) 7.71630 6.47475i 0.344395 0.288982i
\(503\) 10.4375 8.75811i 0.465386 0.390505i −0.379722 0.925100i \(-0.623981\pi\)
0.845108 + 0.534596i \(0.179536\pi\)
\(504\) −2.75430 + 4.77059i −0.122686 + 0.212499i
\(505\) −2.79418 + 1.01700i −0.124339 + 0.0452558i
\(506\) −1.36931 7.76574i −0.0608733 0.345229i
\(507\) −39.9568 69.2072i −1.77454 3.07360i
\(508\) −3.38575 + 5.86430i −0.150219 + 0.260186i
\(509\) −19.8285 7.21697i −0.878881 0.319886i −0.137123 0.990554i \(-0.543785\pi\)
−0.741758 + 0.670668i \(0.766008\pi\)
\(510\) −0.263693 0.456729i −0.0116765 0.0202243i
\(511\) 10.2365 + 8.58945i 0.452836 + 0.379975i
\(512\) 1.00000 0.0441942
\(513\) 27.3947 + 22.9869i 1.20951 + 1.01490i
\(514\) 6.56375 2.38901i 0.289515 0.105375i
\(515\) 0.299072 1.69612i 0.0131787 0.0747400i
\(516\) −3.16605 17.9556i −0.139377 0.790449i
\(517\) 62.5069 2.74905
\(518\) 1.62682 5.92330i 0.0714784 0.260255i
\(519\) 31.2097 1.36995
\(520\) 0.383714 + 2.17615i 0.0168270 + 0.0954305i
\(521\) 0.510798 2.89688i 0.0223784 0.126914i −0.971572 0.236745i \(-0.923920\pi\)
0.993950 + 0.109830i \(0.0350307\pi\)
\(522\) 32.4691 11.8178i 1.42114 0.517251i
\(523\) 8.30708 + 6.97047i 0.363243 + 0.304797i 0.806082 0.591804i \(-0.201584\pi\)
−0.442839 + 0.896601i \(0.646029\pi\)
\(524\) −15.1485 −0.661764
\(525\) −10.9756 9.20962i −0.479014 0.401941i
\(526\) −1.33142 2.30609i −0.0580527 0.100550i
\(527\) −1.62328 0.590827i −0.0707113 0.0257368i
\(528\) 7.94501 13.7612i 0.345762 0.598878i
\(529\) 10.4589 + 18.1153i 0.454735 + 0.787624i
\(530\) 0.00556446 + 0.0315576i 0.000241705 + 0.00137078i
\(531\) −15.3273 + 5.57869i −0.665150 + 0.242095i
\(532\) −2.52958 + 4.38137i −0.109671 + 0.189956i
\(533\) −5.36386 + 4.50081i −0.232334 + 0.194952i
\(534\) −35.1220 + 29.4709i −1.51988 + 1.27533i
\(535\) 1.16451 + 0.423846i 0.0503461 + 0.0183245i
\(536\) −0.202257 + 1.14706i −0.00873616 + 0.0495452i
\(537\) −6.00735 + 34.0694i −0.259236 + 1.47020i
\(538\) −2.26939 0.825991i −0.0978404 0.0356110i
\(539\) 25.0346 21.0065i 1.07832 0.904815i
\(540\) 1.89908 1.59352i 0.0817233 0.0685740i
\(541\) −4.43868 + 7.68801i −0.190834 + 0.330534i −0.945527 0.325544i \(-0.894452\pi\)
0.754693 + 0.656078i \(0.227786\pi\)
\(542\) 23.7278 8.63621i 1.01920 0.370957i
\(543\) 2.21493 + 12.5615i 0.0950517 + 0.539065i
\(544\) −0.261122 0.452277i −0.0111955 0.0193912i
\(545\) 0.169947 0.294357i 0.00727974 0.0126089i
\(546\) −17.5562 6.38995i −0.751338 0.273465i
\(547\) 18.2649 + 31.6358i 0.780952 + 1.35265i 0.931388 + 0.364028i \(0.118599\pi\)
−0.150436 + 0.988620i \(0.548068\pi\)
\(548\) −6.49738 5.45195i −0.277554 0.232896i
\(549\) 20.8150 0.888362
\(550\) 20.4263 + 17.1397i 0.870979 + 0.730838i
\(551\) 29.8200 10.8536i 1.27038 0.462379i
\(552\) 0.728595 4.13207i 0.0310110 0.175872i
\(553\) 1.63201 + 9.25560i 0.0694002 + 0.393588i
\(554\) −17.7320 −0.753360
\(555\) −3.55460 + 5.00968i −0.150884 + 0.212649i
\(556\) −18.3384 −0.777720
\(557\) 6.37699 + 36.1657i 0.270202 + 1.53239i 0.753803 + 0.657101i \(0.228217\pi\)
−0.483601 + 0.875288i \(0.660671\pi\)
\(558\) 3.13323 17.7694i 0.132640 0.752240i
\(559\) 37.4900 13.6453i 1.58566 0.577133i
\(560\) 0.268664 + 0.225435i 0.0113531 + 0.00952639i
\(561\) −8.29847 −0.350362
\(562\) 15.1288 + 12.6946i 0.638172 + 0.535490i
\(563\) −0.238456 0.413018i −0.0100497 0.0174066i 0.860957 0.508678i \(-0.169866\pi\)
−0.871007 + 0.491271i \(0.836532\pi\)
\(564\) 31.2534 + 11.3753i 1.31601 + 0.478987i
\(565\) −1.60399 + 2.77820i −0.0674805 + 0.116880i
\(566\) −12.1747 21.0872i −0.511741 0.886361i
\(567\) 0.770041 + 4.36712i 0.0323387 + 0.183402i
\(568\) −0.294023 + 0.107015i −0.0123369 + 0.00449027i
\(569\) −4.54906 + 7.87920i −0.190706 + 0.330313i −0.945485 0.325667i \(-0.894411\pi\)
0.754778 + 0.655980i \(0.227745\pi\)
\(570\) 3.87554 3.25197i 0.162329 0.136210i
\(571\) 19.6081 16.4532i 0.820574 0.688543i −0.132532 0.991179i \(-0.542311\pi\)
0.953106 + 0.302635i \(0.0978664\pi\)
\(572\) 32.6733 + 11.8921i 1.36614 + 0.497234i
\(573\) −5.29680 + 30.0396i −0.221277 + 1.25492i
\(574\) −0.192979 + 1.09444i −0.00805480 + 0.0456811i
\(575\) 6.61626 + 2.40812i 0.275917 + 0.100426i
\(576\) 4.17870 3.50634i 0.174112 0.146098i
\(577\) 11.8194 9.91764i 0.492048 0.412877i −0.362712 0.931901i \(-0.618149\pi\)
0.854759 + 0.519024i \(0.173705\pi\)
\(578\) 8.36363 14.4862i 0.347881 0.602548i
\(579\) −26.8578 + 9.77545i −1.11617 + 0.406254i
\(580\) −0.382004 2.16645i −0.0158619 0.0899571i
\(581\) −4.77896 8.27741i −0.198265 0.343405i
\(582\) 1.35083 2.33970i 0.0559936 0.0969838i
\(583\) 0.473815 + 0.172455i 0.0196234 + 0.00714234i
\(584\) −6.61627 11.4597i −0.273783 0.474207i
\(585\) 9.23375 + 7.74804i 0.381769 + 0.320342i
\(586\) −23.2486 −0.960390
\(587\) 12.4394 + 10.4379i 0.513430 + 0.430819i 0.862334 0.506340i \(-0.169002\pi\)
−0.348904 + 0.937158i \(0.613446\pi\)
\(588\) 16.3402 5.94734i 0.673858 0.245264i
\(589\) 2.87759 16.3196i 0.118569 0.672439i
\(590\) 0.180328 + 1.02269i 0.00742400 + 0.0421036i
\(591\) −35.0762 −1.44284
\(592\) −3.51995 + 4.96084i −0.144669 + 0.203889i
\(593\) −27.0626 −1.11133 −0.555663 0.831407i \(-0.687536\pi\)
−0.555663 + 0.831407i \(0.687536\pi\)
\(594\) −6.77375 38.4158i −0.277930 1.57622i
\(595\) 0.0318052 0.180376i 0.00130389 0.00739472i
\(596\) −5.12406 + 1.86501i −0.209890 + 0.0763936i
\(597\) −20.7151 17.3820i −0.847812 0.711399i
\(598\) 9.18118 0.375446
\(599\) −30.5258 25.6142i −1.24725 1.04657i −0.996922 0.0784059i \(-0.975017\pi\)
−0.250328 0.968161i \(-0.580539\pi\)
\(600\) 7.09397 + 12.2871i 0.289610 + 0.501620i
\(601\) −33.5222 12.2011i −1.36740 0.497692i −0.449065 0.893499i \(-0.648243\pi\)
−0.918334 + 0.395807i \(0.870465\pi\)
\(602\) 3.16605 5.48376i 0.129038 0.223501i
\(603\) 3.17680 + 5.50238i 0.129369 + 0.224074i
\(604\) −2.70116 15.3190i −0.109909 0.623323i
\(605\) −6.15613 + 2.24065i −0.250282 + 0.0910953i
\(606\) −12.4478 + 21.5602i −0.505657 + 0.875824i
\(607\) −9.76538 + 8.19413i −0.396365 + 0.332589i −0.819086 0.573670i \(-0.805519\pi\)
0.422722 + 0.906259i \(0.361075\pi\)
\(608\) 3.83776 3.22027i 0.155642 0.130599i
\(609\) 17.4780 + 6.36148i 0.708246 + 0.257780i
\(610\) 0.230123 1.30509i 0.00931740 0.0528416i
\(611\) −12.6376 + 71.6714i −0.511263 + 2.89952i
\(612\) −2.67699 0.974344i −0.108211 0.0393855i
\(613\) −3.13519 + 2.63074i −0.126629 + 0.106255i −0.703903 0.710296i \(-0.748561\pi\)
0.577274 + 0.816551i \(0.304117\pi\)
\(614\) −8.17382 + 6.85865i −0.329868 + 0.276792i
\(615\) 0.555662 0.962435i 0.0224065 0.0388091i
\(616\) 5.18574 1.88745i 0.208939 0.0760477i
\(617\) 8.20856 + 46.5531i 0.330464 + 1.87416i 0.468104 + 0.883673i \(0.344937\pi\)
−0.137640 + 0.990482i \(0.543952\pi\)
\(618\) −7.20990 12.4879i −0.290025 0.502338i
\(619\) 10.5169 18.2157i 0.422708 0.732152i −0.573495 0.819209i \(-0.694413\pi\)
0.996203 + 0.0870571i \(0.0277463\pi\)
\(620\) −1.07950 0.392904i −0.0433536 0.0157794i
\(621\) −5.15015 8.92033i −0.206669 0.357960i
\(622\) 13.0382 + 10.9403i 0.522783 + 0.438667i
\(623\) −15.9230 −0.637943
\(624\) 14.1725 + 11.8921i 0.567353 + 0.476065i
\(625\) −21.8059 + 7.93669i −0.872235 + 0.317468i
\(626\) 1.89458 10.7447i 0.0757225 0.429444i
\(627\) −13.8235 78.3971i −0.552059 3.13088i
\(628\) −4.00822 −0.159945
\(629\) 3.16281 + 0.296606i 0.126110 + 0.0118264i
\(630\) 1.91312 0.0762205
\(631\) −5.68830 32.2599i −0.226448 1.28425i −0.859898 0.510465i \(-0.829473\pi\)
0.633451 0.773783i \(-0.281638\pi\)
\(632\) 1.61610 9.16537i 0.0642851 0.364579i
\(633\) 12.0225 4.37585i 0.477853 0.173924i
\(634\) −22.0930 18.5382i −0.877424 0.736246i
\(635\) 2.35172 0.0933252
\(636\) 0.205523 + 0.172455i 0.00814953 + 0.00683827i
\(637\) 19.0250 + 32.9522i 0.753796 + 1.30561i
\(638\) −32.5277 11.8391i −1.28779 0.468716i
\(639\) −0.853398 + 1.47813i −0.0337599 + 0.0584739i
\(640\) −0.173648 0.300767i −0.00686405 0.0118889i
\(641\) 3.47857 + 19.7280i 0.137395 + 0.779208i 0.973162 + 0.230123i \(0.0739127\pi\)
−0.835766 + 0.549085i \(0.814976\pi\)
\(642\) 9.74982 3.54864i 0.384795 0.140054i
\(643\) 6.69618 11.5981i 0.264071 0.457385i −0.703249 0.710944i \(-0.748268\pi\)
0.967320 + 0.253559i \(0.0816012\pi\)
\(644\) 1.11627 0.936663i 0.0439873 0.0369097i
\(645\) −4.85067 + 4.07019i −0.190995 + 0.160264i
\(646\) −2.45858 0.894849i −0.0967314 0.0352074i
\(647\) 2.56647 14.5551i 0.100898 0.572222i −0.891881 0.452269i \(-0.850615\pi\)
0.992780 0.119953i \(-0.0382743\pi\)
\(648\) 0.762534 4.32455i 0.0299552 0.169884i
\(649\) 15.3550 + 5.58876i 0.602736 + 0.219378i
\(650\) −23.7824 + 19.9558i −0.932823 + 0.782732i
\(651\) 7.44042 6.24326i 0.291613 0.244693i
\(652\) −2.34612 + 4.06359i −0.0918810 + 0.159143i
\(653\) 25.4991 9.28092i 0.997857 0.363190i 0.209099 0.977894i \(-0.432947\pi\)
0.788758 + 0.614704i \(0.210725\pi\)
\(654\) −0.494161 2.80253i −0.0193232 0.109588i
\(655\) 2.63050 + 4.55617i 0.102782 + 0.178024i
\(656\) 0.550245 0.953052i 0.0214835 0.0372104i
\(657\) −67.8291 24.6878i −2.64627 0.963162i
\(658\) 5.77540 + 10.0033i 0.225149 + 0.389969i
\(659\) 24.2414 + 20.3409i 0.944311 + 0.792371i 0.978330 0.207050i \(-0.0663864\pi\)
−0.0340197 + 0.999421i \(0.510831\pi\)
\(660\) −5.51855 −0.214809
\(661\) 26.0376 + 21.8481i 1.01274 + 0.849793i 0.988698 0.149918i \(-0.0479009\pi\)
0.0240454 + 0.999711i \(0.492345\pi\)
\(662\) −3.72076 + 1.35425i −0.144611 + 0.0526343i
\(663\) 1.67778 9.51517i 0.0651596 0.369539i
\(664\) 1.64354 + 9.32096i 0.0637816 + 0.361723i
\(665\) 1.75703 0.0681347
\(666\) 2.68562 + 33.0720i 0.104066 + 1.28151i
\(667\) −9.14028 −0.353913
\(668\) −0.134923 0.765189i −0.00522035 0.0296060i
\(669\) 5.67085 32.1610i 0.219248 1.24342i
\(670\) 0.380118 0.138352i 0.0146853 0.00534500i
\(671\) −15.9740 13.4038i −0.616669 0.517447i
\(672\) 2.93636 0.113272
\(673\) 30.3717 + 25.4849i 1.17074 + 0.982372i 0.999996 0.00294292i \(-0.000936763\pi\)
0.170749 + 0.985315i \(0.445381\pi\)
\(674\) 2.13839 + 3.70380i 0.0823676 + 0.142665i
\(675\) 32.7295 + 11.9126i 1.25976 + 0.458515i
\(676\) −13.7416 + 23.8011i −0.528522 + 0.915426i
\(677\) −9.65303 16.7195i −0.370996 0.642584i 0.618723 0.785609i \(-0.287650\pi\)
−0.989719 + 0.143025i \(0.954317\pi\)
\(678\) 4.66398 + 26.4507i 0.179119 + 1.01583i
\(679\) 0.881690 0.320909i 0.0338362 0.0123154i
\(680\) −0.0906868 + 0.157074i −0.00347768 + 0.00602352i
\(681\) −33.7546 + 28.3235i −1.29348 + 1.08536i
\(682\) −13.8471 + 11.6191i −0.530233 + 0.444918i
\(683\) −1.90109 0.691940i −0.0727432 0.0264764i 0.305392 0.952227i \(-0.401212\pi\)
−0.378135 + 0.925750i \(0.623435\pi\)
\(684\) 4.74550 26.9130i 0.181449 1.02905i
\(685\) −0.511511 + 2.90092i −0.0195438 + 0.110838i
\(686\) 12.3175 + 4.48320i 0.470284 + 0.171169i
\(687\) −34.6629 + 29.0857i −1.32247 + 1.10969i
\(688\) −4.80338 + 4.03051i −0.183127 + 0.153662i
\(689\) −0.293535 + 0.508417i −0.0111828 + 0.0193692i
\(690\) −1.36931 + 0.498388i −0.0521287 + 0.0189733i
\(691\) −0.242292 1.37410i −0.00921721 0.0522734i 0.979852 0.199724i \(-0.0640045\pi\)
−0.989069 + 0.147450i \(0.952893\pi\)
\(692\) −5.36667 9.29535i −0.204010 0.353356i
\(693\) 15.0516 26.0701i 0.571762 0.990320i
\(694\) 9.51723 + 3.46399i 0.361269 + 0.131491i
\(695\) 3.18442 + 5.51559i 0.120792 + 0.209218i
\(696\) −14.1093 11.8391i −0.534812 0.448761i
\(697\) −0.574725 −0.0217692
\(698\) −5.50852 4.62220i −0.208501 0.174953i
\(699\) −37.1251 + 13.5124i −1.40420 + 0.511087i
\(700\) −0.855638 + 4.85256i −0.0323401 + 0.183410i
\(701\) −7.84895 44.5136i −0.296451 1.68126i −0.661247 0.750168i \(-0.729973\pi\)
0.364797 0.931087i \(-0.381138\pi\)
\(702\) 45.4178 1.71418
\(703\) 2.46650 + 30.3737i 0.0930258 + 1.14557i
\(704\) −5.46475 −0.205960
\(705\) −2.00578 11.3753i −0.0755419 0.428419i
\(706\) −5.91359 + 33.5376i −0.222561 + 1.26220i
\(707\) −8.12472 + 2.95716i −0.305562 + 0.111215i
\(708\) 6.66043 + 5.58876i 0.250314 + 0.210039i
\(709\) −28.5445 −1.07201 −0.536005 0.844215i \(-0.680067\pi\)
−0.536005 + 0.844215i \(0.680067\pi\)
\(710\) 0.0832432 + 0.0698494i 0.00312406 + 0.00262140i
\(711\) −25.3837 43.9659i −0.951965 1.64885i
\(712\) 14.8169 + 5.39291i 0.555287 + 0.202108i
\(713\) −2.38653 + 4.13359i −0.0893761 + 0.154804i
\(714\) −0.766748 1.32805i −0.0286948 0.0497009i
\(715\) −2.09690 11.8921i −0.0784196 0.444740i
\(716\) 11.1801 4.06921i 0.417819 0.152074i
\(717\) 28.3423 49.0904i 1.05846 1.83331i
\(718\) 7.56816 6.35044i 0.282441 0.236996i
\(719\) −13.6923 + 11.4892i −0.510637 + 0.428475i −0.861353 0.508007i \(-0.830383\pi\)
0.350717 + 0.936482i \(0.385938\pi\)
\(720\) −1.78022 0.647946i −0.0663448 0.0241475i
\(721\) 0.869621 4.93187i 0.0323864 0.183672i
\(722\) 1.05900 6.00589i 0.0394119 0.223516i
\(723\) −3.94454 1.43569i −0.146699 0.0533941i
\(724\) 3.36039 2.81970i 0.124888 0.104793i
\(725\) 23.6765 19.8669i 0.879322 0.737839i
\(726\) −27.4250 + 47.5014i −1.01784 + 1.76294i
\(727\) 16.3955 5.96747i 0.608075 0.221321i −0.0195860 0.999808i \(-0.506235\pi\)
0.627661 + 0.778487i \(0.284013\pi\)
\(728\) 1.11574 + 6.32766i 0.0413520 + 0.234519i
\(729\) 19.1570 + 33.1809i 0.709519 + 1.22892i
\(730\) −2.29781 + 3.97992i −0.0850457 + 0.147303i
\(731\) 3.07718 + 1.12000i 0.113813 + 0.0414247i
\(732\) −5.54771 9.60891i −0.205049 0.355156i
\(733\) −33.6087 28.2011i −1.24137 1.04163i −0.997416 0.0718424i \(-0.977112\pi\)
−0.243950 0.969788i \(-0.578443\pi\)
\(734\) −33.9039 −1.25142
\(735\) −4.62621 3.88185i −0.170640 0.143184i
\(736\) −1.35596 + 0.493529i −0.0499814 + 0.0181917i
\(737\) 1.10528 6.26837i 0.0407136 0.230898i
\(738\) −1.04242 5.91187i −0.0383721 0.217619i
\(739\) 39.5017 1.45309 0.726546 0.687118i \(-0.241124\pi\)
0.726546 + 0.687118i \(0.241124\pi\)
\(740\) 2.10329 + 0.197245i 0.0773186 + 0.00725087i
\(741\) 92.6863 3.40492
\(742\) 0.0161800 + 0.0917611i 0.000593985 + 0.00336866i
\(743\) 3.45404 19.5888i 0.126716 0.718644i −0.853557 0.520999i \(-0.825560\pi\)
0.980274 0.197645i \(-0.0633293\pi\)
\(744\) −9.03806 + 3.28958i −0.331351 + 0.120602i
\(745\) 1.45072 + 1.21730i 0.0531502 + 0.0445983i
\(746\) 31.3540 1.14795
\(747\) 39.5503 + 33.1867i 1.44707 + 1.21424i
\(748\) 1.42697 + 2.47158i 0.0521751 + 0.0903699i
\(749\) 3.38608 + 1.23243i 0.123725 + 0.0450320i
\(750\) 4.98832 8.64003i 0.182148 0.315489i
\(751\) 16.6184 + 28.7839i 0.606413 + 1.05034i 0.991826 + 0.127594i \(0.0407255\pi\)
−0.385413 + 0.922744i \(0.625941\pi\)
\(752\) −1.98622 11.2644i −0.0724301 0.410771i
\(753\) −27.5230 + 10.0175i −1.00299 + 0.365060i
\(754\) 20.1514 34.9032i 0.733870 1.27110i
\(755\) −4.13842 + 3.47255i −0.150612 + 0.126379i
\(756\) 5.52201 4.63352i 0.200834 0.168519i
\(757\) −40.7915 14.8469i −1.48259 0.539620i −0.531105 0.847306i \(-0.678223\pi\)
−0.951488 + 0.307686i \(0.900445\pi\)
\(758\) 1.85012 10.4926i 0.0671994 0.381107i
\(759\) −3.98159 + 22.5807i −0.144522 + 0.819627i
\(760\) −1.63497 0.595081i −0.0593067 0.0215859i
\(761\) 19.3702 16.2536i 0.702171 0.589191i −0.220220 0.975450i \(-0.570677\pi\)
0.922390 + 0.386259i \(0.126233\pi\)
\(762\) 15.0832 12.6563i 0.546407 0.458490i
\(763\) 0.494161 0.855912i 0.0178898 0.0309861i
\(764\) 9.85768 3.58790i 0.356638 0.129806i
\(765\) 0.171803 + 0.974344i 0.00621156 + 0.0352275i
\(766\) −9.70076 16.8022i −0.350503 0.607089i
\(767\) −9.51263 + 16.4764i −0.343481 + 0.594927i
\(768\) −2.73237 0.994503i −0.0985961 0.0358860i
\(769\) −13.8992 24.0740i −0.501216 0.868132i −0.999999 0.00140492i \(-0.999553\pi\)
0.498783