Properties

Label 74.2.f.b.33.2
Level $74$
Weight $2$
Character 74.33
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 33.2
Root \(2.14169 - 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 74.33
Dual form 74.2.f.b.9.2

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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 0.681031 + 0.732255i \(0.261532\pi\)
−0.389514 + 0.921021i \(0.627357\pi\)
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.266044 0.223238i 0.118979 0.0998350i −0.581357 0.813649i \(-0.697478\pi\)
0.700336 + 0.713814i \(0.253034\pi\)
\(6\) 2.90773 1.18708
\(7\) 0.773586 0.649116i 0.292388 0.245343i −0.484780 0.874636i \(-0.661100\pi\)
0.777168 + 0.629294i \(0.216656\pi\)
\(8\) −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 −0.0789595 0.996878i \(-0.525160\pi\)
0.902801 0.430058i \(-0.141507\pi\)
\(12\) 0.504922 2.86356i 0.145759 0.826638i
\(13\) −5.97892 2.17615i −1.65825 0.603555i −0.668167 0.744011i \(-0.732921\pi\)
−0.990087 + 0.140456i \(0.955143\pi\)
\(14\) −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 −0.400846 0.916146i \(-0.631284\pi\)
0.281821 + 0.959467i \(0.409061\pi\)
\(18\) 0.947234 + 5.37203i 0.223265 + 1.26620i
\(19\) 0.869950 + 4.93373i 0.199580 + 1.13188i 0.905743 + 0.423827i \(0.139313\pi\)
−0.706163 + 0.708049i \(0.749575\pi\)
\(20\) −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 0.780948 0.624596i \(-0.214736\pi\)
−0.931390 + 0.364023i \(0.881403\pi\)
\(24\) −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 −0.406354 0.913716i \(-0.633200\pi\)
0.994478 0.104945i \(-0.0334666\pi\)
\(30\) 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 0.421506 0.906825i \(-0.361502\pi\)
−0.260004 + 0.965608i \(0.583724\pi\)
\(42\) 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 0.894667 + 0.446734i \(0.147413\pi\)
−0.0604506 + 0.998171i \(0.519254\pi\)
\(48\) −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 0.647629 0.761956i \(-0.275761\pi\)
−0.637920 + 0.770102i \(0.720205\pi\)
\(54\) −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 0.779599 0.626279i \(-0.215423\pi\)
−0.481389 + 0.876507i \(0.659868\pi\)
\(60\) −0.504922 0.874551i −0.0651852 0.112904i
\(61\) −3.58571 1.30509i −0.459103 0.167100i 0.102107 0.994773i \(-0.467442\pi\)
−0.561210 + 0.827674i \(0.689664\pi\)
\(62\) 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 −0.695662 0.718370i \(-0.744889\pi\)
0.586656 + 0.809836i \(0.300444\pi\)
\(68\) 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 0.987862 0.155334i \(-0.0496452\pi\)
−0.981414 + 0.191903i \(0.938534\pi\)
\(72\) 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 −0.146594 0.989197i \(-0.546831\pi\)
0.948713 + 0.316139i \(0.102387\pi\)
\(80\) 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 −0.780377 0.625310i \(-0.784973\pi\)
−0.195862 + 0.980632i \(0.562750\pi\)
\(84\) −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 −0.993195 0.116463i \(-0.962844\pi\)
−0.287160 0.957883i \(-0.592711\pi\)
\(90\) 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 0.888646 0.458594i \(-0.151647\pi\)
−0.841477 + 0.540293i \(0.818313\pi\)
\(98\) 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 0.570542 0.821269i \(-0.306733\pi\)
−0.996510 + 0.0834694i \(0.973400\pi\)
\(102\) −1.42697 + 0.519373i −0.141291 + 0.0514256i
\(103\) −2.47956 + 4.29473i −0.244319 + 0.423172i −0.961940 0.273261i \(-0.911898\pi\)
0.717621 + 0.696434i \(0.245231\pi\)
\(104\) 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 0.498971 0.866619i \(-0.333711\pi\)
−0.174818 + 0.984601i \(0.555934\pi\)
\(108\) 1.23954 + 7.02975i 0.119274 + 0.676438i
\(109\) −0.169947 + 0.963819i −0.0162780 + 0.0923171i −0.991864 0.127299i \(-0.959369\pi\)
0.975586 + 0.219616i \(0.0704804\pi\)
\(110\) −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 −0.811556 0.584275i \(-0.801379\pi\)
0.962447 0.271470i \(-0.0875098\pi\)
\(114\) 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 0.843240 0.537537i \(-0.180645\pi\)
−0.382944 + 0.923772i \(0.625090\pi\)
\(128\) −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 0.365438 0.930836i \(-0.380919\pi\)
0.878271 + 0.478163i \(0.158697\pi\)
\(132\) −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 −0.626021 0.779806i \(-0.715318\pi\)
0.988342 + 0.152247i \(0.0486510\pi\)
\(138\) −2.09790 3.63368i −0.178586 0.309319i
\(139\) 17.2324 6.27209i 1.46164 0.531992i 0.515820 0.856697i \(-0.327487\pi\)
0.945815 + 0.324705i \(0.105265\pi\)
\(140\) −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 −0.872349 0.488884i \(-0.837404\pi\)
0.652531 0.757762i \(-0.273707\pi\)
\(152\) −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 −0.187317 0.982299i \(-0.559979\pi\)
0.487916 + 0.872890i \(0.337757\pi\)
\(158\) −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 0.772611 0.634879i \(-0.218950\pi\)
−0.491072 + 0.871119i \(0.663395\pi\)
\(164\) −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 0.979142 0.203176i \(-0.0651263\pi\)
−0.989583 + 0.143964i \(0.954015\pi\)
\(168\) −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 −0.828251 0.560358i \(-0.810664\pi\)
0.969955 0.243286i \(-0.0782253\pi\)
\(174\) 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 0.184247 0.982880i \(-0.441015\pi\)
−0.490642 + 0.871361i \(0.663238\pi\)
\(182\) 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 −0.986907 0.161291i \(-0.948434\pi\)
0.633136 + 0.774041i \(0.281767\pi\)
\(194\) 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 0.814618 + 0.579998i \(0.196947\pi\)
−0.963861 + 0.266404i \(0.914164\pi\)
\(198\) 28.0119 + 10.1955i 1.99072 + 0.724563i
\(199\) 4.64995 + 8.05395i 0.329626 + 0.570929i 0.982438 0.186591i \(-0.0597439\pi\)
−0.652811 + 0.757520i \(0.726411\pi\)
\(200\) −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 −0.780307 0.625396i \(-0.784937\pi\)
0.931763 + 0.363068i \(0.118271\pi\)
\(212\) −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 −0.940834 0.338868i \(-0.889956\pi\)
0.170345 + 0.985384i \(0.445512\pi\)
\(228\) 14.5673 0.964742
\(229\) −11.9210 + 10.0029i −0.787759 + 0.661008i −0.945190 0.326522i \(-0.894123\pi\)
0.157431 + 0.987530i \(0.449679\pi\)
\(230\) −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 −0.998056 0.0623159i \(-0.980151\pi\)
0.552995 + 0.833184i \(0.313485\pi\)
\(234\) 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 0.326999 0.945025i \(-0.393963\pi\)
0.857946 + 0.513740i \(0.171740\pi\)
\(240\) 0.175358 + 0.994503i 0.0113193 + 0.0641949i
\(241\) 0.250684 + 1.42170i 0.0161480 + 0.0915797i 0.991817 0.127671i \(-0.0407500\pi\)
−0.975669 + 0.219250i \(0.929639\pi\)
\(242\) −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 −0.980049 0.198754i \(-0.936310\pi\)
0.662151 + 0.749371i \(0.269644\pi\)
\(252\) 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 0.923323 + 0.384024i \(0.125462\pi\)
−0.998984 + 0.0450692i \(0.985649\pi\)
\(258\) −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 0.263718 0.964600i \(-0.415051\pi\)
−0.418013 + 0.908441i \(0.637273\pi\)
\(264\) −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 0.826863 0.562403i \(-0.190123\pi\)
−0.900487 + 0.434883i \(0.856790\pi\)
\(270\) −1.23954 + 2.14694i −0.0754357 + 0.130659i
\(271\) −4.38472 + 24.8670i −0.266353 + 1.51056i 0.498803 + 0.866715i \(0.333773\pi\)
−0.765156 + 0.643845i \(0.777338\pi\)
\(272\) −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 −0.925947 0.377654i \(-0.876731\pi\)
0.740940 0.671571i \(-0.234380\pi\)
\(278\) −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 0.970680 0.240377i \(-0.0772710\pi\)
−0.0681682 + 0.997674i \(0.521715\pi\)
\(282\) 16.6296 + 28.8033i 0.990279 + 1.71521i
\(283\) −22.8810 8.32799i −1.36013 0.495047i −0.444037 0.896009i \(-0.646454\pi\)
−0.916095 + 0.400961i \(0.868676\pi\)
\(284\) 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 −0.840820 0.541315i \(-0.817927\pi\)
0.604972 0.796247i \(-0.293184\pi\)
\(294\) −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 −0.672658 0.739953i \(-0.734848\pi\)
0.977147 + 0.212563i \(0.0681809\pi\)
\(308\) −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 0.932657 0.360765i \(-0.117484\pi\)
−0.193330 + 0.981134i \(0.561929\pi\)
\(312\) 14.1725 + 11.8921i 0.802358 + 0.673258i
\(313\) −10.2525 + 3.73159i −0.579503 + 0.210922i −0.615106 0.788444i \(-0.710887\pi\)
0.0356035 + 0.999366i \(0.488665\pi\)
\(314\) −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 −0.997456 0.0712854i \(-0.977290\pi\)
−0.243409 0.969924i \(-0.578266\pi\)
\(318\) 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 −0.960064 0.279782i \(-0.909738\pi\)
0.997856 + 0.0654519i \(0.0208489\pi\)
\(332\) 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 0.449152 0.893455i \(-0.351726\pi\)
−0.230231 + 0.973136i \(0.573948\pi\)
\(338\) 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 0.969336 0.245740i \(-0.0790310\pi\)
−0.697485 + 0.716599i \(0.745698\pi\)
\(348\) −14.1093 11.8391i −0.756339 0.634644i
\(349\) −5.50852 4.62220i −0.294864 0.247421i 0.483338 0.875434i \(-0.339424\pi\)
−0.778203 + 0.628013i \(0.783869\pi\)
\(350\) 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 0.707064 0.707150i \(-0.250019\pi\)
0.996189 + 0.0872167i \(0.0277972\pi\)
\(354\) 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 −0.966431 0.256926i \(-0.917290\pi\)
0.705720 + 0.708491i \(0.250624\pi\)
\(360\) −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 −0.612391 0.790555i \(-0.709792\pi\)
0.305074 0.952329i \(-0.401319\pi\)
\(368\) 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 0.716121 + 0.697976i \(0.245916\pi\)
−0.434212 + 0.900811i \(0.642973\pi\)
\(374\) 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 −0.586104 0.810236i \(-0.699339\pi\)
0.0718279 + 0.997417i \(0.477117\pi\)
\(380\) −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 −0.168747 0.985659i \(-0.553972\pi\)
−0.762838 + 0.646590i \(0.776194\pi\)
\(384\) −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 0.949443 + 0.313939i \(0.101649\pi\)
−0.784811 + 0.619735i \(0.787240\pi\)
\(390\) −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 0.992994 + 0.118163i \(0.0377005\pi\)
−0.394165 + 0.919040i \(0.628966\pi\)
\(398\) 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 0.911443 + 0.411426i \(0.134969\pi\)
−0.997192 + 0.0748818i \(0.976142\pi\)
\(410\) −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 −0.314812 0.949154i \(-0.601941\pi\)
0.620456 0.784241i \(-0.286948\pi\)
\(420\) −0.958285 0.348787i −0.0467595 0.0170191i
\(421\) −11.1668 19.3414i −0.544235 0.942643i −0.998655 0.0518555i \(-0.983486\pi\)
0.454419 0.890788i \(-0.349847\pi\)
\(422\) −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 −0.482231 0.876044i \(-0.660173\pi\)
−0.932521 + 0.361116i \(0.882396\pi\)
\(432\) 1.23954 7.02975i 0.0596372 0.338219i
\(433\) −2.71093 + 4.69547i −0.130279 + 0.225650i −0.923784 0.382914i \(-0.874921\pi\)
0.793505 + 0.608564i \(0.208254\pi\)
\(434\) −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 −0.879687 0.475554i \(-0.842248\pi\)
0.315573 + 0.948901i \(0.397803\pi\)
\(440\) 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 0.328538 0.944491i \(-0.393444\pi\)
0.987192 0.159538i \(-0.0510004\pi\)
\(450\) −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 0.0390893 0.999236i \(-0.487554\pi\)
−0.612352 + 0.790585i \(0.709777\pi\)
\(458\) 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 −0.697997 0.716101i \(-0.745925\pi\)
−0.0743962 + 0.997229i \(0.523703\pi\)
\(462\) −2.78644 15.8027i −0.129637 0.735207i
\(463\) 4.60063 + 26.0915i 0.213809 + 1.21257i 0.882961 + 0.469447i \(0.155547\pi\)
−0.669151 + 0.743126i \(0.733342\pi\)
\(464\) 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 0.997828 0.0658760i \(-0.0209842\pi\)
−0.555964 + 0.831206i \(0.687651\pi\)
\(468\) −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 −0.809106 0.587663i \(-0.800048\pi\)
0.961303 0.275492i \(-0.0888409\pi\)
\(480\) 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 −0.977387 0.211459i \(-0.932179\pi\)
0.305565 0.952171i \(-0.401155\pi\)
\(492\) 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 0.915345 + 0.402670i \(0.131918\pi\)
−0.722422 + 0.691453i \(0.756971\pi\)
\(500\) −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 0.845108 0.534596i \(-0.179536\pi\)
−0.379722 + 0.925100i \(0.623981\pi\)
\(504\) −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 −0.741758 0.670668i \(-0.766008\pi\)
−0.137123 + 0.990554i \(0.543785\pi\)
\(510\) −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 0.993950 0.109830i \(-0.0350307\pi\)
−0.971572 + 0.236745i \(0.923920\pi\)
\(522\) 32.4691 + 11.8178i 1.42114 + 0.517251i
\(523\) 8.30708 6.97047i 0.363243 0.304797i −0.442839 0.896601i \(-0.646029\pi\)
0.806082 + 0.591804i \(0.201584\pi\)
\(524\) −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 0.754693 0.656078i \(-0.227786\pi\)
−0.945527 + 0.325544i \(0.894452\pi\)
\(542\) 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 −0.150436 0.988620i \(-0.548068\pi\)
0.931388 0.364028i \(-0.118599\pi\)
\(548\) −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 −0.483601 0.875288i \(-0.660671\pi\)
0.753803 0.657101i \(-0.228217\pi\)
\(558\) 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 −0.871007 0.491271i \(-0.836532\pi\)
0.860957 + 0.508678i \(0.169866\pi\)
\(564\) 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 0.754778 0.655980i \(-0.227745\pi\)
−0.945485 + 0.325667i \(0.894411\pi\)
\(570\) 3.87554 + 3.25197i 0.162329 + 0.136210i
\(571\) 19.6081 + 16.4532i 0.820574 + 0.688543i 0.953106 0.302635i \(-0.0978664\pi\)
−0.132532 + 0.991179i \(0.542311\pi\)
\(572\) 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 0.854759 0.519024i \(-0.173705\pi\)
−0.362712 + 0.931901i \(0.618149\pi\)
\(578\) 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 −0.348904 0.937158i \(-0.613446\pi\)
0.862334 + 0.506340i \(0.169002\pi\)
\(588\) 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 −0.250328 + 0.968161i \(0.580539\pi\)
−0.996922 + 0.0784059i \(0.975017\pi\)
\(600\) 7.09397 12.2871i 0.289610 0.501620i
\(601\) −33.5222 + 12.2011i −1.36740 + 0.497692i −0.918334 0.395807i \(-0.870465\pi\)
−0.449065 + 0.893499i \(0.648243\pi\)
\(602\) 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 0.422722 0.906259i \(-0.361075\pi\)
−0.819086 + 0.573670i \(0.805519\pi\)
\(608\) 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 0.577274 0.816551i \(-0.304117\pi\)
−0.703903 + 0.710296i \(0.748561\pi\)
\(614\) −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 −0.137640 0.990482i \(-0.543952\pi\)
0.468104 0.883673i \(-0.344937\pi\)
\(618\) −7.20990 + 12.4879i −0.290025 + 0.502338i
\(619\) 10.5169 + 18.2157i 0.422708 + 0.732152i 0.996203 0.0870571i \(-0.0277463\pi\)
−0.573495 + 0.819209i \(0.694413\pi\)
\(620\) −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 0.633451 + 0.773783i \(0.281638\pi\)
−0.859898 + 0.510465i \(0.829473\pi\)
\(632\) 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 −0.835766 0.549085i \(-0.814976\pi\)
0.973162 0.230123i \(-0.0739127\pi\)
\(642\) 9.74982 + 3.54864i 0.384795 + 0.140054i
\(643\) 6.69618 + 11.5981i 0.264071 + 0.457385i 0.967320 0.253559i \(-0.0816012\pi\)
−0.703249 + 0.710944i \(0.748268\pi\)
\(644\) 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 0.992780 + 0.119953i \(0.0382743\pi\)
−0.891881 + 0.452269i \(0.850615\pi\)
\(648\) 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 0.788758 0.614704i \(-0.210725\pi\)
0.209099 + 0.977894i \(0.432947\pi\)
\(654\) −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 −0.0340197 0.999421i \(-0.510831\pi\)
0.978330 + 0.207050i \(0.0663864\pi\)
\(660\) −5.51855 −0.214809
\(661\) 26.0376 21.8481i 1.01274 0.849793i 0.0240454 0.999711i \(-0.492345\pi\)
0.988698 + 0.149918i \(0.0479009\pi\)
\(662\) −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 0.170749 0.985315i \(-0.445381\pi\)
0.999996 + 0.00294292i \(0.000936763\pi\)
\(674\) 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 −0.989719 0.143025i \(-0.954317\pi\)
0.618723 + 0.785609i \(0.287650\pi\)
\(678\) 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 −0.378135 0.925750i \(-0.623435\pi\)
0.305392 + 0.952227i \(0.401212\pi\)
\(684\) 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 −0.989069 0.147450i \(-0.952893\pi\)
0.979852 + 0.199724i \(0.0640045\pi\)
\(692\) −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 0.364797 + 0.931087i \(0.381138\pi\)
−0.661247 + 0.750168i \(0.729973\pi\)
\(702\) 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 0.350717 0.936482i \(-0.385938\pi\)
−0.861353 + 0.508007i \(0.830383\pi\)
\(720\) −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 0.627661 0.778487i \(-0.284013\pi\)
−0.0195860 + 0.999808i \(0.506235\pi\)
\(728\) 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 −0.243950 + 0.969788i \(0.578443\pi\)
−0.997416 + 0.0718424i \(0.977112\pi\)
\(734\) −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 0.980274 + 0.197645i \(0.0633293\pi\)
−0.853557 + 0.520999i \(0.825560\pi\)
\(744\) −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 −0.385413 0.922744i \(-0.625941\pi\)
0.991826 0.127594i \(-0.0407255\pi\)
\(752\) −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 −0.951488 0.307686i \(-0.900445\pi\)
−0.531105 + 0.847306i \(0.678223\pi\)
\(758\) 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 0.922390 0.386259i \(-0.126233\pi\)
−0.220220 + 0.975450i \(0.570677\pi\)
\(762\) 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 0.498783 + 0.866727i \(0.333781\pi\)
−0.999999 +