Properties

Label 378.2.u.b.295.2
Level 378
Weight 2
Character 378.295
Analytic conductor 3.018
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 378.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 295.2
Root \(0.500000 + 1.00210i\)
Character \(\chi\) = 378.295
Dual form 378.2.u.b.337.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(1.65667 - 0.505425i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.31259 - 1.10139i) q^{5} +(-0.210069 - 1.71926i) q^{6} +(-0.939693 + 0.342020i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.48909 - 1.67464i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(1.65667 - 0.505425i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.31259 - 1.10139i) q^{5} +(-0.210069 - 1.71926i) q^{6} +(-0.939693 + 0.342020i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.48909 - 1.67464i) q^{9} +(-0.856730 - 1.48390i) q^{10} +(-0.960783 - 0.806193i) q^{11} +(-1.72962 - 0.0916693i) q^{12} +(-0.652160 - 3.69858i) q^{13} +(0.173648 + 0.984808i) q^{14} +(1.61785 - 2.48805i) q^{15} +(0.766044 + 0.642788i) q^{16} +(3.04828 + 5.27978i) q^{17} +(-1.21697 - 2.74207i) q^{18} +(1.39513 - 2.41644i) q^{19} +(-1.61013 + 0.586038i) q^{20} +(-1.38389 + 1.04156i) q^{21} +(-0.960783 + 0.806193i) q^{22} +(-2.42118 - 0.881236i) q^{23} +(-0.390623 + 1.68743i) q^{24} +(-0.358420 + 2.03270i) q^{25} -3.75564 q^{26} +(3.27719 - 4.03237i) q^{27} +1.00000 q^{28} +(-0.744954 + 4.22485i) q^{29} +(-2.16932 - 2.02531i) q^{30} +(-1.67121 - 0.608270i) q^{31} +(0.766044 - 0.642788i) q^{32} +(-1.99917 - 0.849989i) q^{33} +(5.72890 - 2.08515i) q^{34} +(-0.856730 + 1.48390i) q^{35} +(-2.91174 + 0.722330i) q^{36} +(0.699704 + 1.21192i) q^{37} +(-2.13746 - 1.79354i) q^{38} +(-2.94977 - 5.79770i) q^{39} +(0.297539 + 1.68743i) q^{40} +(0.568290 + 3.22293i) q^{41} +(0.785424 + 1.54373i) q^{42} +(5.86201 + 4.91881i) q^{43} +(0.627106 + 1.08618i) q^{44} +(1.42271 - 4.93957i) q^{45} +(-1.28828 + 2.23137i) q^{46} +(-6.56218 + 2.38844i) q^{47} +(1.59396 + 0.677707i) q^{48} +(0.766044 - 0.642788i) q^{49} +(1.93958 + 0.705949i) q^{50} +(7.71852 + 7.20616i) q^{51} +(-0.652160 + 3.69858i) q^{52} -3.54440 q^{53} +(-3.40203 - 3.92762i) q^{54} -2.14904 q^{55} +(0.173648 - 0.984808i) q^{56} +(1.08994 - 4.70836i) q^{57} +(4.03130 + 1.46727i) q^{58} +(-6.26285 + 5.25516i) q^{59} +(-2.37124 + 1.78467i) q^{60} +(10.9885 - 3.99950i) q^{61} +(-0.889232 + 1.54019i) q^{62} +(-1.76622 + 2.42497i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-4.92960 - 4.13643i) q^{65} +(-1.18423 + 1.82120i) q^{66} +(-2.70516 - 15.3417i) q^{67} +(-1.05866 - 6.00394i) q^{68} +(-4.45648 - 0.236191i) q^{69} +(1.31259 + 1.10139i) q^{70} +(5.68458 + 9.84598i) q^{71} +(0.205737 + 2.99294i) q^{72} +(-3.34614 + 5.79569i) q^{73} +(1.31501 - 0.478626i) q^{74} +(0.433595 + 3.54866i) q^{75} +(-2.13746 + 1.79354i) q^{76} +(1.17857 + 0.428966i) q^{77} +(-6.22184 + 1.89819i) q^{78} +(-0.215477 + 1.22203i) q^{79} +1.71346 q^{80} +(3.39115 - 8.33667i) q^{81} +3.27265 q^{82} +(-0.957482 + 5.43015i) q^{83} +(1.65667 - 0.505425i) q^{84} +(9.81623 + 3.57282i) q^{85} +(5.86201 - 4.91881i) q^{86} +(0.901202 + 7.37568i) q^{87} +(1.17857 - 0.428966i) q^{88} +(-8.40393 + 14.5560i) q^{89} +(-4.61748 - 2.25885i) q^{90} +(1.87782 + 3.25248i) q^{91} +(1.97376 + 1.65618i) q^{92} +(-3.07607 - 0.163030i) q^{93} +(1.21264 + 6.87724i) q^{94} +(-0.830211 - 4.70836i) q^{95} +(0.944200 - 1.45206i) q^{96} +(11.1167 + 9.32799i) q^{97} +(-0.500000 - 0.866025i) q^{98} +(-3.74156 - 0.397719i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + O(q^{10}) \) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + 3q^{11} - 6q^{12} + 12q^{13} + 9q^{15} - 9q^{18} + 12q^{19} - 9q^{20} + 3q^{21} + 3q^{22} + 12q^{23} + 3q^{24} - 24q^{25} - 18q^{26} + 18q^{27} + 12q^{28} - 3q^{29} + 21q^{31} - 27q^{33} + 9q^{34} + 15q^{37} + 15q^{38} - 48q^{39} + 9q^{40} + 12q^{41} + 3q^{42} + 21q^{43} + 12q^{44} - 9q^{45} - 6q^{46} + 12q^{47} + 3q^{48} + 21q^{50} - 9q^{51} + 12q^{52} - 42q^{53} - 27q^{54} - 12q^{55} + 33q^{57} - 3q^{58} + 18q^{59} - 18q^{60} + 9q^{62} + 9q^{63} - 6q^{64} - 36q^{65} - 9q^{66} - 33q^{67} - 18q^{68} + 9q^{69} + 24q^{71} - 18q^{72} + 9q^{73} - 36q^{74} - 33q^{75} + 15q^{76} + 3q^{77} - 21q^{78} + 9q^{81} - 24q^{82} + 15q^{83} + 3q^{84} - 24q^{85} + 21q^{86} + 3q^{88} - 51q^{89} + 9q^{91} - 6q^{92} - 30q^{93} - 15q^{94} - 45q^{95} + 3q^{96} + 48q^{97} - 6q^{98} + 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(1\)

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
\(3\) 1.65667 0.505425i 0.956477 0.291807i
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 1.31259 1.10139i 0.587006 0.492557i −0.300233 0.953866i \(-0.597064\pi\)
0.887240 + 0.461309i \(0.152620\pi\)
\(6\) −0.210069 1.71926i −0.0857604 0.701887i
\(7\) −0.939693 + 0.342020i −0.355170 + 0.129271i
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 2.48909 1.67464i 0.829697 0.558214i
\(10\) −0.856730 1.48390i −0.270922 0.469250i
\(11\) −0.960783 0.806193i −0.289687 0.243076i 0.486349 0.873764i \(-0.338328\pi\)
−0.776036 + 0.630688i \(0.782773\pi\)
\(12\) −1.72962 0.0916693i −0.499299 0.0264626i
\(13\) −0.652160 3.69858i −0.180877 1.02580i −0.931140 0.364663i \(-0.881184\pi\)
0.750263 0.661140i \(-0.229927\pi\)
\(14\) 0.173648 + 0.984808i 0.0464094 + 0.263201i
\(15\) 1.61785 2.48805i 0.417726 0.642412i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 3.04828 + 5.27978i 0.739317 + 1.28053i 0.952803 + 0.303588i \(0.0981848\pi\)
−0.213486 + 0.976946i \(0.568482\pi\)
\(18\) −1.21697 2.74207i −0.286844 0.646313i
\(19\) 1.39513 2.41644i 0.320065 0.554368i −0.660436 0.750882i \(-0.729629\pi\)
0.980501 + 0.196514i \(0.0629620\pi\)
\(20\) −1.61013 + 0.586038i −0.360035 + 0.131042i
\(21\) −1.38389 + 1.04156i −0.301990 + 0.227287i
\(22\) −0.960783 + 0.806193i −0.204840 + 0.171881i
\(23\) −2.42118 0.881236i −0.504850 0.183750i 0.0770242 0.997029i \(-0.475458\pi\)
−0.581874 + 0.813279i \(0.697680\pi\)
\(24\) −0.390623 + 1.68743i −0.0797355 + 0.344445i
\(25\) −0.358420 + 2.03270i −0.0716839 + 0.406540i
\(26\) −3.75564 −0.736542
\(27\) 3.27719 4.03237i 0.630695 0.776031i
\(28\) 1.00000 0.188982
\(29\) −0.744954 + 4.22485i −0.138335 + 0.784534i 0.834145 + 0.551545i \(0.185962\pi\)
−0.972479 + 0.232989i \(0.925149\pi\)
\(30\) −2.16932 2.02531i −0.396061 0.369770i
\(31\) −1.67121 0.608270i −0.300158 0.109249i 0.187551 0.982255i \(-0.439945\pi\)
−0.487709 + 0.873006i \(0.662167\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) −1.99917 0.849989i −0.348010 0.147964i
\(34\) 5.72890 2.08515i 0.982497 0.357600i
\(35\) −0.856730 + 1.48390i −0.144814 + 0.250825i
\(36\) −2.91174 + 0.722330i −0.485290 + 0.120388i
\(37\) 0.699704 + 1.21192i 0.115031 + 0.199239i 0.917792 0.397062i \(-0.129970\pi\)
−0.802761 + 0.596300i \(0.796637\pi\)
\(38\) −2.13746 1.79354i −0.346742 0.290951i
\(39\) −2.94977 5.79770i −0.472341 0.928375i
\(40\) 0.297539 + 1.68743i 0.0470451 + 0.266806i
\(41\) 0.568290 + 3.22293i 0.0887519 + 0.503337i 0.996484 + 0.0837863i \(0.0267013\pi\)
−0.907732 + 0.419551i \(0.862188\pi\)
\(42\) 0.785424 + 1.54373i 0.121194 + 0.238203i
\(43\) 5.86201 + 4.91881i 0.893949 + 0.750112i 0.968998 0.247068i \(-0.0794670\pi\)
−0.0750495 + 0.997180i \(0.523911\pi\)
\(44\) 0.627106 + 1.08618i 0.0945399 + 0.163748i
\(45\) 1.42271 4.93957i 0.212085 0.736348i
\(46\) −1.28828 + 2.23137i −0.189947 + 0.328997i
\(47\) −6.56218 + 2.38844i −0.957193 + 0.348390i −0.772933 0.634488i \(-0.781211\pi\)
−0.184260 + 0.982878i \(0.558989\pi\)
\(48\) 1.59396 + 0.677707i 0.230069 + 0.0978186i
\(49\) 0.766044 0.642788i 0.109435 0.0918268i
\(50\) 1.93958 + 0.705949i 0.274298 + 0.0998362i
\(51\) 7.71852 + 7.20616i 1.08081 + 1.00906i
\(52\) −0.652160 + 3.69858i −0.0904383 + 0.512901i
\(53\) −3.54440 −0.486861 −0.243431 0.969918i \(-0.578273\pi\)
−0.243431 + 0.969918i \(0.578273\pi\)
\(54\) −3.40203 3.92762i −0.462958 0.534481i
\(55\) −2.14904 −0.289777
\(56\) 0.173648 0.984808i 0.0232047 0.131600i
\(57\) 1.08994 4.70836i 0.144366 0.623638i
\(58\) 4.03130 + 1.46727i 0.529336 + 0.192662i
\(59\) −6.26285 + 5.25516i −0.815354 + 0.684163i −0.951879 0.306473i \(-0.900851\pi\)
0.136525 + 0.990637i \(0.456407\pi\)
\(60\) −2.37124 + 1.78467i −0.306126 + 0.230400i
\(61\) 10.9885 3.99950i 1.40694 0.512083i 0.476708 0.879062i \(-0.341830\pi\)
0.930229 + 0.366979i \(0.119608\pi\)
\(62\) −0.889232 + 1.54019i −0.112933 + 0.195605i
\(63\) −1.76622 + 2.42497i −0.222523 + 0.305517i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −4.92960 4.13643i −0.611442 0.513061i
\(66\) −1.18423 + 1.82120i −0.145768 + 0.224174i
\(67\) −2.70516 15.3417i −0.330488 1.87429i −0.467910 0.883776i \(-0.654993\pi\)
0.137422 0.990513i \(-0.456118\pi\)
\(68\) −1.05866 6.00394i −0.128381 0.728085i
\(69\) −4.45648 0.236191i −0.536497 0.0284341i
\(70\) 1.31259 + 1.10139i 0.156884 + 0.131641i
\(71\) 5.68458 + 9.84598i 0.674635 + 1.16850i 0.976575 + 0.215176i \(0.0690324\pi\)
−0.301940 + 0.953327i \(0.597634\pi\)
\(72\) 0.205737 + 2.99294i 0.0242463 + 0.352721i
\(73\) −3.34614 + 5.79569i −0.391636 + 0.678334i −0.992666 0.120893i \(-0.961424\pi\)
0.601029 + 0.799227i \(0.294757\pi\)
\(74\) 1.31501 0.478626i 0.152867 0.0556391i
\(75\) 0.433595 + 3.54866i 0.0500672 + 0.409764i
\(76\) −2.13746 + 1.79354i −0.245184 + 0.205734i
\(77\) 1.17857 + 0.428966i 0.134311 + 0.0488852i
\(78\) −6.22184 + 1.89819i −0.704485 + 0.214928i
\(79\) −0.215477 + 1.22203i −0.0242430 + 0.137489i −0.994527 0.104480i \(-0.966682\pi\)
0.970284 + 0.241969i \(0.0777932\pi\)
\(80\) 1.71346 0.191571
\(81\) 3.39115 8.33667i 0.376794 0.926297i
\(82\) 3.27265 0.361404
\(83\) −0.957482 + 5.43015i −0.105097 + 0.596037i 0.886084 + 0.463525i \(0.153415\pi\)
−0.991181 + 0.132512i \(0.957696\pi\)
\(84\) 1.65667 0.505425i 0.180757 0.0551464i
\(85\) 9.81623 + 3.57282i 1.06472 + 0.387526i
\(86\) 5.86201 4.91881i 0.632117 0.530409i
\(87\) 0.901202 + 7.37568i 0.0966190 + 0.790756i
\(88\) 1.17857 0.428966i 0.125636 0.0457279i
\(89\) −8.40393 + 14.5560i −0.890815 + 1.54294i −0.0519154 + 0.998651i \(0.516533\pi\)
−0.838900 + 0.544286i \(0.816801\pi\)
\(90\) −4.61748 2.25885i −0.486725 0.238103i
\(91\) 1.87782 + 3.25248i 0.196849 + 0.340953i
\(92\) 1.97376 + 1.65618i 0.205779 + 0.172669i
\(93\) −3.07607 0.163030i −0.318974 0.0169055i
\(94\) 1.21264 + 6.87724i 0.125074 + 0.709333i
\(95\) −0.830211 4.70836i −0.0851779 0.483068i
\(96\) 0.944200 1.45206i 0.0963670 0.148201i
\(97\) 11.1167 + 9.32799i 1.12873 + 0.947114i 0.999012 0.0444373i \(-0.0141495\pi\)
0.129714 + 0.991551i \(0.458594\pi\)
\(98\) −0.500000 0.866025i −0.0505076 0.0874818i
\(99\) −3.74156 0.397719i −0.376041 0.0399723i
\(100\) 1.03203 1.78753i 0.103203 0.178753i
\(101\) 12.7918 4.65583i 1.27283 0.463272i 0.384775 0.923010i \(-0.374279\pi\)
0.888055 + 0.459738i \(0.152057\pi\)
\(102\) 8.43699 6.34992i 0.835386 0.628736i
\(103\) −0.375422 + 0.315016i −0.0369914 + 0.0310395i −0.661096 0.750301i \(-0.729908\pi\)
0.624105 + 0.781341i \(0.285464\pi\)
\(104\) 3.52915 + 1.28450i 0.346061 + 0.125956i
\(105\) −0.669316 + 2.89134i −0.0653185 + 0.282166i
\(106\) −0.615479 + 3.49056i −0.0597806 + 0.339033i
\(107\) 4.10282 0.396635 0.198317 0.980138i \(-0.436452\pi\)
0.198317 + 0.980138i \(0.436452\pi\)
\(108\) −4.45870 + 2.66833i −0.429039 + 0.256760i
\(109\) −10.5320 −1.00878 −0.504390 0.863476i \(-0.668283\pi\)
−0.504390 + 0.863476i \(0.668283\pi\)
\(110\) −0.373177 + 2.11639i −0.0355811 + 0.201790i
\(111\) 1.77171 + 1.65410i 0.168164 + 0.157001i
\(112\) −0.939693 0.342020i −0.0887926 0.0323179i
\(113\) 5.22859 4.38731i 0.491865 0.412723i −0.362829 0.931856i \(-0.618189\pi\)
0.854694 + 0.519132i \(0.173745\pi\)
\(114\) −4.44757 1.89098i −0.416553 0.177106i
\(115\) −4.14859 + 1.50996i −0.386858 + 0.140805i
\(116\) 2.14501 3.71527i 0.199159 0.344954i
\(117\) −7.81709 8.11398i −0.722690 0.750137i
\(118\) 4.08779 + 7.08026i 0.376311 + 0.651790i
\(119\) −4.67024 3.91880i −0.428120 0.359235i
\(120\) 1.34579 + 2.64512i 0.122853 + 0.241466i
\(121\) −1.63697 9.28373i −0.148816 0.843976i
\(122\) −2.03060 11.5161i −0.183842 1.04262i
\(123\) 2.57042 + 5.05209i 0.231767 + 0.455532i
\(124\) 1.36238 + 1.14317i 0.122346 + 0.102660i
\(125\) 6.05199 + 10.4823i 0.541306 + 0.937570i
\(126\) 2.08143 + 2.16048i 0.185428 + 0.192471i
\(127\) 3.33416 5.77494i 0.295859 0.512443i −0.679325 0.733837i \(-0.737727\pi\)
0.975184 + 0.221394i \(0.0710607\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) 12.1975 + 5.18603i 1.07393 + 0.456604i
\(130\) −4.92960 + 4.13643i −0.432355 + 0.362789i
\(131\) 0.116911 + 0.0425522i 0.0102146 + 0.00371780i 0.347122 0.937820i \(-0.387159\pi\)
−0.336908 + 0.941538i \(0.609381\pi\)
\(132\) 1.58789 + 1.48248i 0.138208 + 0.129034i
\(133\) −0.484523 + 2.74787i −0.0420135 + 0.238270i
\(134\) −15.5784 −1.34577
\(135\) −0.139625 8.90230i −0.0120170 0.766188i
\(136\) −6.09656 −0.522776
\(137\) −0.543640 + 3.08313i −0.0464463 + 0.263410i −0.999184 0.0403833i \(-0.987142\pi\)
0.952738 + 0.303793i \(0.0982532\pi\)
\(138\) −1.00646 + 4.34776i −0.0856758 + 0.370106i
\(139\) −6.99391 2.54557i −0.593215 0.215913i 0.0279276 0.999610i \(-0.491109\pi\)
−0.621143 + 0.783697i \(0.713331\pi\)
\(140\) 1.31259 1.10139i 0.110934 0.0930845i
\(141\) −9.66417 + 7.27354i −0.813870 + 0.612542i
\(142\) 10.6835 3.88848i 0.896540 0.326314i
\(143\) −2.35519 + 4.07930i −0.196951 + 0.341128i
\(144\) 2.98319 + 0.317107i 0.248599 + 0.0264256i
\(145\) 3.67539 + 6.36596i 0.305224 + 0.528664i
\(146\) 5.12659 + 4.30172i 0.424279 + 0.356013i
\(147\) 0.944200 1.45206i 0.0778763 0.119764i
\(148\) −0.243005 1.37815i −0.0199749 0.113283i
\(149\) −2.78633 15.8020i −0.228265 1.29455i −0.856345 0.516405i \(-0.827270\pi\)
0.628080 0.778149i \(-0.283841\pi\)
\(150\) 3.57004 + 0.189211i 0.291493 + 0.0154490i
\(151\) −13.3844 11.2309i −1.08921 0.913955i −0.0925568 0.995707i \(-0.529504\pi\)
−0.996653 + 0.0817521i \(0.973948\pi\)
\(152\) 1.39513 + 2.41644i 0.113160 + 0.195999i
\(153\) 16.4292 + 8.03707i 1.32822 + 0.649759i
\(154\) 0.627106 1.08618i 0.0505337 0.0875269i
\(155\) −2.86355 + 1.04225i −0.230006 + 0.0837153i
\(156\) 0.788945 + 6.45694i 0.0631661 + 0.516969i
\(157\) −8.98089 + 7.53586i −0.716753 + 0.601427i −0.926485 0.376332i \(-0.877185\pi\)
0.209732 + 0.977759i \(0.432741\pi\)
\(158\) 1.16605 + 0.424406i 0.0927656 + 0.0337639i
\(159\) −5.87190 + 1.79143i −0.465672 + 0.142070i
\(160\) 0.297539 1.68743i 0.0235225 0.133403i
\(161\) 2.57656 0.203061
\(162\) −7.62115 4.78728i −0.598774 0.376124i
\(163\) −24.0423 −1.88314 −0.941568 0.336822i \(-0.890648\pi\)
−0.941568 + 0.336822i \(0.890648\pi\)
\(164\) 0.568290 3.22293i 0.0443760 0.251669i
\(165\) −3.56025 + 1.08618i −0.277165 + 0.0845590i
\(166\) 5.18139 + 1.88587i 0.402154 + 0.146372i
\(167\) −5.63531 + 4.72858i −0.436073 + 0.365909i −0.834237 0.551405i \(-0.814092\pi\)
0.398164 + 0.917314i \(0.369647\pi\)
\(168\) −0.210069 1.71926i −0.0162072 0.132644i
\(169\) −1.03820 + 0.377875i −0.0798617 + 0.0290673i
\(170\) 5.22311 9.04669i 0.400594 0.693849i
\(171\) −0.574060 8.35107i −0.0438994 0.638622i
\(172\) −3.82616 6.62710i −0.291742 0.505312i
\(173\) −15.9462 13.3804i −1.21237 1.01730i −0.999188 0.0402822i \(-0.987174\pi\)
−0.213177 0.977014i \(-0.568381\pi\)
\(174\) 7.42012 + 0.393263i 0.562518 + 0.0298132i
\(175\) −0.358420 2.03270i −0.0270940 0.153658i
\(176\) −0.217792 1.23516i −0.0164167 0.0931036i
\(177\) −7.71938 + 11.8715i −0.580224 + 0.892313i
\(178\) 12.8756 + 10.8039i 0.965065 + 0.809786i
\(179\) −4.93356 8.54517i −0.368751 0.638696i 0.620619 0.784112i \(-0.286881\pi\)
−0.989371 + 0.145416i \(0.953548\pi\)
\(180\) −3.02634 + 4.15508i −0.225570 + 0.309702i
\(181\) 0.189393 0.328038i 0.0140775 0.0243829i −0.858901 0.512142i \(-0.828852\pi\)
0.872978 + 0.487759i \(0.162186\pi\)
\(182\) 3.52915 1.28450i 0.261598 0.0952138i
\(183\) 16.1829 12.1797i 1.19627 0.900350i
\(184\) 1.97376 1.65618i 0.145508 0.122095i
\(185\) 2.25322 + 0.820106i 0.165660 + 0.0602954i
\(186\) −0.694708 + 3.00103i −0.0509385 + 0.220046i
\(187\) 1.32778 7.53022i 0.0970970 0.550664i
\(188\) 6.98333 0.509312
\(189\) −1.70040 + 4.91006i −0.123686 + 0.357154i
\(190\) −4.78100 −0.346850
\(191\) 2.26465 12.8435i 0.163865 0.929322i −0.786363 0.617765i \(-0.788038\pi\)
0.950227 0.311557i \(-0.100851\pi\)
\(192\) −1.26604 1.18200i −0.0913689 0.0853037i
\(193\) 14.2127 + 5.17299i 1.02305 + 0.372360i 0.798431 0.602087i \(-0.205664\pi\)
0.224620 + 0.974446i \(0.427886\pi\)
\(194\) 11.1167 9.32799i 0.798130 0.669711i
\(195\) −10.2574 4.36114i −0.734545 0.312308i
\(196\) −0.939693 + 0.342020i −0.0671209 + 0.0244300i
\(197\) 10.4828 18.1567i 0.746868 1.29361i −0.202449 0.979293i \(-0.564890\pi\)
0.949317 0.314320i \(-0.101777\pi\)
\(198\) −1.04139 + 3.61565i −0.0740085 + 0.256953i
\(199\) −9.49884 16.4525i −0.673355 1.16628i −0.976947 0.213483i \(-0.931519\pi\)
0.303592 0.952802i \(-0.401814\pi\)
\(200\) −1.58116 1.32675i −0.111805 0.0938154i
\(201\) −12.2356 24.0489i −0.863035 1.69628i
\(202\) −2.36383 13.4059i −0.166318 0.943237i
\(203\) −0.744954 4.22485i −0.0522855 0.296526i
\(204\) −4.78839 9.41146i −0.335254 0.658934i
\(205\) 4.29563 + 3.60446i 0.300020 + 0.251747i
\(206\) 0.245039 + 0.424420i 0.0170727 + 0.0295708i
\(207\) −7.50228 + 1.86113i −0.521444 + 0.129357i
\(208\) 1.87782 3.25248i 0.130203 0.225519i
\(209\) −3.28853 + 1.19693i −0.227472 + 0.0827931i
\(210\) 2.73119 + 1.16122i 0.188470 + 0.0801320i
\(211\) 15.7543 13.2194i 1.08457 0.910063i 0.0882782 0.996096i \(-0.471864\pi\)
0.996292 + 0.0860332i \(0.0274191\pi\)
\(212\) 3.33065 + 1.21226i 0.228750 + 0.0832582i
\(213\) 14.3939 + 13.4384i 0.986251 + 0.920782i
\(214\) 0.712448 4.04049i 0.0487019 0.276202i
\(215\) 13.1119 0.894226
\(216\) 1.85354 + 4.85432i 0.126118 + 0.330294i
\(217\) 1.77846 0.120730
\(218\) −1.82886 + 10.3720i −0.123866 + 0.702478i
\(219\) −2.61416 + 11.2927i −0.176648 + 0.763093i
\(220\) 2.01944 + 0.735016i 0.136151 + 0.0495548i
\(221\) 17.5397 14.7176i 1.17985 0.990012i
\(222\) 1.93663 1.45756i 0.129978 0.0978253i
\(223\) −26.2670 + 9.56040i −1.75897 + 0.640212i −0.999941 0.0108493i \(-0.996547\pi\)
−0.759026 + 0.651061i \(0.774324\pi\)
\(224\) −0.500000 + 0.866025i −0.0334077 + 0.0578638i
\(225\) 2.51190 + 5.65980i 0.167460 + 0.377320i
\(226\) −3.41272 5.91101i −0.227011 0.393194i
\(227\) −7.36444 6.17950i −0.488795 0.410148i 0.364799 0.931086i \(-0.381138\pi\)
−0.853594 + 0.520939i \(0.825582\pi\)
\(228\) −2.63456 + 4.05163i −0.174478 + 0.268326i
\(229\) −3.11049 17.6404i −0.205547 1.16571i −0.896577 0.442887i \(-0.853954\pi\)
0.691031 0.722826i \(-0.257157\pi\)
\(230\) 0.766628 + 4.34776i 0.0505499 + 0.286683i
\(231\) 2.16932 + 0.114973i 0.142731 + 0.00756465i
\(232\) −3.28635 2.75757i −0.215759 0.181043i
\(233\) −2.35161 4.07311i −0.154059 0.266838i 0.778657 0.627450i \(-0.215901\pi\)
−0.932716 + 0.360612i \(0.882568\pi\)
\(234\) −9.34813 + 6.28935i −0.611106 + 0.411148i
\(235\) −5.98282 + 10.3626i −0.390276 + 0.675979i
\(236\) 7.68253 2.79621i 0.500090 0.182018i
\(237\) 0.260671 + 2.13340i 0.0169324 + 0.138579i
\(238\) −4.67024 + 3.91880i −0.302727 + 0.254018i
\(239\) −23.6469 8.60676i −1.52959 0.556725i −0.566069 0.824358i \(-0.691536\pi\)
−0.963521 + 0.267633i \(0.913759\pi\)
\(240\) 2.83863 0.866025i 0.183233 0.0559017i
\(241\) 0.650035 3.68653i 0.0418724 0.237470i −0.956688 0.291117i \(-0.905973\pi\)
0.998560 + 0.0536463i \(0.0170843\pi\)
\(242\) −9.42695 −0.605987
\(243\) 1.40444 15.5251i 0.0900948 0.995933i
\(244\) −11.6937 −0.748615
\(245\) 0.297539 1.68743i 0.0190091 0.107806i
\(246\) 5.42169 1.65408i 0.345674 0.105460i
\(247\) −9.84723 3.58410i −0.626565 0.228051i
\(248\) 1.36238 1.14317i 0.0865114 0.0725917i
\(249\) 1.15831 + 9.47989i 0.0734046 + 0.600764i
\(250\) 11.3740 4.13980i 0.719356 0.261824i
\(251\) −10.6347 + 18.4199i −0.671258 + 1.16265i 0.306289 + 0.951938i \(0.400913\pi\)
−0.977548 + 0.210715i \(0.932421\pi\)
\(252\) 2.48909 1.67464i 0.156798 0.105493i
\(253\) 1.61578 + 2.79861i 0.101583 + 0.175947i
\(254\) −5.10824 4.28632i −0.320519 0.268948i
\(255\) 18.0680 + 0.957597i 1.13146 + 0.0599670i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 5.55886 + 31.5259i 0.346752 + 1.96653i 0.228478 + 0.973549i \(0.426625\pi\)
0.118274 + 0.992981i \(0.462264\pi\)
\(258\) 7.22531 11.1116i 0.449828 0.691781i
\(259\) −1.07201 0.899522i −0.0666114 0.0558936i
\(260\) 3.21757 + 5.57299i 0.199545 + 0.345622i
\(261\) 5.22084 + 11.7636i 0.323162 + 0.728146i
\(262\) 0.0622071 0.107746i 0.00384317 0.00665656i
\(263\) 9.60132 3.49459i 0.592043 0.215486i −0.0285849 0.999591i \(-0.509100\pi\)
0.620628 + 0.784105i \(0.286878\pi\)
\(264\) 1.73570 1.30634i 0.106825 0.0803994i
\(265\) −4.65233 + 3.90377i −0.285791 + 0.239807i
\(266\) 2.62199 + 0.954325i 0.160764 + 0.0585134i
\(267\) −6.56553 + 28.3621i −0.401804 + 1.73573i
\(268\) −2.70516 + 15.3417i −0.165244 + 0.937144i
\(269\) 18.4643 1.12579 0.562894 0.826529i \(-0.309688\pi\)
0.562894 + 0.826529i \(0.309688\pi\)
\(270\) −8.79130 1.40836i −0.535022 0.0857103i
\(271\) 12.7983 0.777443 0.388722 0.921355i \(-0.372917\pi\)
0.388722 + 0.921355i \(0.372917\pi\)
\(272\) −1.05866 + 6.00394i −0.0641905 + 0.364043i
\(273\) 4.75481 + 4.43918i 0.287774 + 0.268671i
\(274\) 2.94189 + 1.07076i 0.177726 + 0.0646871i
\(275\) 1.98311 1.66403i 0.119586 0.100345i
\(276\) 4.10694 + 1.74615i 0.247209 + 0.105106i
\(277\) −13.9464 + 5.07608i −0.837959 + 0.304992i −0.725121 0.688621i \(-0.758216\pi\)
−0.112838 + 0.993613i \(0.535994\pi\)
\(278\) −3.72138 + 6.44562i −0.223194 + 0.386583i
\(279\) −5.17843 + 1.28464i −0.310024 + 0.0769092i
\(280\) −0.856730 1.48390i −0.0511994 0.0886800i
\(281\) 3.72253 + 3.12358i 0.222068 + 0.186337i 0.747034 0.664786i \(-0.231477\pi\)
−0.524966 + 0.851123i \(0.675922\pi\)
\(282\) 5.48487 + 10.7804i 0.326619 + 0.641963i
\(283\) −3.25925 18.4841i −0.193742 1.09877i −0.914198 0.405267i \(-0.867178\pi\)
0.720456 0.693501i \(-0.243933\pi\)
\(284\) −1.97423 11.1964i −0.117149 0.664386i
\(285\) −3.75511 7.38058i −0.222433 0.437188i
\(286\) 3.60835 + 3.02777i 0.213366 + 0.179036i
\(287\) −1.63632 2.83420i −0.0965892 0.167297i
\(288\) 0.830315 2.88281i 0.0489268 0.169871i
\(289\) −10.0840 + 17.4661i −0.593179 + 1.02742i
\(290\) 6.90747 2.51411i 0.405621 0.147634i
\(291\) 23.1312 + 9.83473i 1.35598 + 0.576522i
\(292\) 5.12659 4.30172i 0.300011 0.251739i
\(293\) 13.7105 + 4.99021i 0.800975 + 0.291531i 0.709891 0.704312i \(-0.248744\pi\)
0.0910848 + 0.995843i \(0.470967\pi\)
\(294\) −1.26604 1.18200i −0.0738372 0.0689358i
\(295\) −2.43255 + 13.7957i −0.141629 + 0.803217i
\(296\) −1.39941 −0.0813389
\(297\) −6.39954 + 1.23219i −0.371339 + 0.0714989i
\(298\) −16.0458 −0.929509
\(299\) −1.68033 + 9.52962i −0.0971760 + 0.551112i
\(300\) 0.806267 3.48295i 0.0465498 0.201088i
\(301\) −7.19082 2.61725i −0.414472 0.150856i
\(302\) −13.3844 + 11.2309i −0.770187 + 0.646264i
\(303\) 18.8386 14.1784i 1.08225 0.814530i
\(304\) 2.62199 0.954325i 0.150381 0.0547343i
\(305\) 10.0184 17.3523i 0.573651 0.993592i
\(306\) 10.7679 14.7840i 0.615558 0.845143i
\(307\) 5.33942 + 9.24814i 0.304737 + 0.527819i 0.977203 0.212309i \(-0.0680982\pi\)
−0.672466 + 0.740128i \(0.734765\pi\)
\(308\) −0.960783 0.806193i −0.0547457 0.0459371i
\(309\) −0.462732 + 0.711625i −0.0263239 + 0.0404829i
\(310\) 0.529163 + 3.00103i 0.0300544 + 0.170447i
\(311\) 2.66283 + 15.1016i 0.150995 + 0.856336i 0.962356 + 0.271791i \(0.0876158\pi\)
−0.811361 + 0.584545i \(0.801273\pi\)
\(312\) 6.49584 + 0.344277i 0.367755 + 0.0194908i
\(313\) −9.95410 8.35248i −0.562639 0.472110i 0.316555 0.948574i \(-0.397474\pi\)
−0.879194 + 0.476464i \(0.841918\pi\)
\(314\) 5.86186 + 10.1530i 0.330804 + 0.572969i
\(315\) 0.352522 + 5.12828i 0.0198624 + 0.288946i
\(316\) 0.620440 1.07463i 0.0349025 0.0604529i
\(317\) −9.15813 + 3.33328i −0.514372 + 0.187216i −0.586147 0.810205i \(-0.699356\pi\)
0.0717752 + 0.997421i \(0.477134\pi\)
\(318\) 0.744570 + 6.09377i 0.0417534 + 0.341722i
\(319\) 4.12178 3.45858i 0.230775 0.193643i
\(320\) −1.61013 0.586038i −0.0900087 0.0327605i
\(321\) 6.79701 2.07367i 0.379372 0.115741i
\(322\) 0.447415 2.53742i 0.0249335 0.141405i
\(323\) 17.0110 0.946517
\(324\) −6.03795 + 6.67407i −0.335441 + 0.370782i
\(325\) 7.75185 0.429995
\(326\) −4.17490 + 23.6770i −0.231226 + 1.31135i
\(327\) −17.4480 + 5.32312i −0.964875 + 0.294369i
\(328\) −3.07528 1.11931i −0.169804 0.0618037i
\(329\) 5.34954 4.48880i 0.294930 0.247475i
\(330\) 0.451448 + 3.69477i 0.0248514 + 0.203391i
\(331\) 2.79680 1.01795i 0.153726 0.0559517i −0.264011 0.964520i \(-0.585046\pi\)
0.417737 + 0.908568i \(0.362823\pi\)
\(332\) 2.75696 4.77520i 0.151308 0.262073i
\(333\) 3.77116 + 1.84483i 0.206658 + 0.101096i
\(334\) 3.67818 + 6.37080i 0.201261 + 0.348595i
\(335\) −20.4480 17.1579i −1.11719 0.937435i
\(336\) −1.72962 0.0916693i −0.0943587 0.00500097i
\(337\) −2.03813 11.5588i −0.111024 0.629650i −0.988642 0.150289i \(-0.951980\pi\)
0.877618 0.479361i \(-0.159131\pi\)
\(338\) 0.191852 + 1.08805i 0.0104354 + 0.0591819i
\(339\) 6.44458 9.91097i 0.350022 0.538290i
\(340\) −8.00226 6.71470i −0.433984 0.364156i
\(341\) 1.11529 + 1.93173i 0.0603961 + 0.104609i
\(342\) −8.32388 0.884810i −0.450104 0.0478450i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) −7.19082 + 2.61725i −0.387703 + 0.141112i
\(345\) −6.10965 + 4.59830i −0.328933 + 0.247564i
\(346\) −15.9462 + 13.3804i −0.857272 + 0.719337i
\(347\) 25.1905 + 9.16860i 1.35230 + 0.492196i 0.913664 0.406469i \(-0.133240\pi\)
0.438634 + 0.898666i \(0.355462\pi\)
\(348\) 1.67578 7.23910i 0.0898312 0.388057i
\(349\) 1.34593 7.63313i 0.0720458 0.408592i −0.927361 0.374167i \(-0.877929\pi\)
0.999407 0.0344255i \(-0.0109601\pi\)
\(350\) −2.06406 −0.110328
\(351\) −17.0513 9.49120i −0.910132 0.506603i
\(352\) −1.25421 −0.0668498
\(353\) 0.305997 1.73539i 0.0162866 0.0923657i −0.975581 0.219640i \(-0.929512\pi\)
0.991868 + 0.127274i \(0.0406228\pi\)
\(354\) 10.3506 + 9.66356i 0.550130 + 0.513612i
\(355\) 18.3058 + 6.66275i 0.971569 + 0.353622i
\(356\) 12.8756 10.8039i 0.682404 0.572605i
\(357\) −9.71769 4.13168i −0.514315 0.218672i
\(358\) −9.27205 + 3.37475i −0.490043 + 0.178361i
\(359\) −8.54676 + 14.8034i −0.451081 + 0.781295i −0.998453 0.0555942i \(-0.982295\pi\)
0.547373 + 0.836889i \(0.315628\pi\)
\(360\) 3.56644 + 3.70189i 0.187968 + 0.195107i
\(361\) 5.60723 + 9.71200i 0.295117 + 0.511158i
\(362\) −0.290167 0.243479i −0.0152508 0.0127970i
\(363\) −7.40415 14.5527i −0.388617 0.763818i
\(364\) −0.652160 3.69858i −0.0341825 0.193858i
\(365\) 1.99122 + 11.2927i 0.104225 + 0.591089i
\(366\) −9.18455 18.0520i −0.480084 0.943594i
\(367\) −10.9253 9.16739i −0.570295 0.478534i 0.311449 0.950263i \(-0.399186\pi\)
−0.881744 + 0.471729i \(0.843630\pi\)
\(368\) −1.28828 2.23137i −0.0671563 0.116318i
\(369\) 6.81178 + 7.07049i 0.354607 + 0.368075i
\(370\) 1.19891 2.07658i 0.0623286 0.107956i
\(371\) 3.33065 1.21226i 0.172919 0.0629373i
\(372\) 2.83480 + 1.20528i 0.146978 + 0.0624907i
\(373\) −24.2229 + 20.3254i −1.25422 + 1.05241i −0.257942 + 0.966160i \(0.583044\pi\)
−0.996273 + 0.0862515i \(0.972511\pi\)
\(374\) −7.18525 2.61522i −0.371541 0.135230i
\(375\) 15.3242 + 14.3069i 0.791337 + 0.738807i
\(376\) 1.21264 6.87724i 0.0625372 0.354666i
\(377\) 16.1118 0.829798
\(378\) 4.54019 + 2.52719i 0.233522 + 0.129984i
\(379\) 28.6868 1.47354 0.736770 0.676144i \(-0.236350\pi\)
0.736770 + 0.676144i \(0.236350\pi\)
\(380\) −0.830211 + 4.70836i −0.0425889 + 0.241534i
\(381\) 2.60480 11.2523i 0.133448 0.576474i
\(382\) −12.2551 4.46050i −0.627026 0.228219i
\(383\) −5.73043 + 4.80840i −0.292811 + 0.245698i −0.777345 0.629075i \(-0.783434\pi\)
0.484534 + 0.874773i \(0.338989\pi\)
\(384\) −1.38389 + 1.04156i −0.0706215 + 0.0531518i
\(385\) 2.01944 0.735016i 0.102920 0.0374599i
\(386\) 7.56241 13.0985i 0.384916 0.666695i
\(387\) 22.8283 + 2.42660i 1.16043 + 0.123351i
\(388\) −7.25589 12.5676i −0.368362 0.638022i
\(389\) −8.45937 7.09826i −0.428907 0.359896i 0.402632 0.915362i \(-0.368095\pi\)
−0.831539 + 0.555466i \(0.812540\pi\)
\(390\) −6.07605 + 9.34423i −0.307673 + 0.473163i
\(391\) −2.72769 15.4695i −0.137945 0.782327i
\(392\) 0.173648 + 0.984808i 0.00877056 + 0.0497403i
\(393\) 0.215190 + 0.0114050i 0.0108549 + 0.000575304i
\(394\) −16.0606 13.4764i −0.809120 0.678932i
\(395\) 1.06310 + 1.84134i 0.0534903 + 0.0926479i
\(396\) 3.37989 + 1.65342i 0.169846 + 0.0830876i
\(397\) −15.9992 + 27.7114i −0.802977 + 1.39080i 0.114671 + 0.993404i \(0.463419\pi\)
−0.917648 + 0.397394i \(0.869915\pi\)
\(398\) −17.8520 + 6.49759i −0.894839 + 0.325695i
\(399\) 0.586148 + 4.79719i 0.0293441 + 0.240160i
\(400\) −1.58116 + 1.32675i −0.0790579 + 0.0663375i
\(401\) −0.622863 0.226704i −0.0311043 0.0113210i 0.326421 0.945224i \(-0.394157\pi\)
−0.357525 + 0.933903i \(0.616379\pi\)
\(402\) −25.8082 + 7.87371i −1.28720 + 0.392705i
\(403\) −1.15984 + 6.57780i −0.0577759 + 0.327663i
\(404\) −13.6127 −0.677259
\(405\) −4.73076 14.6776i −0.235073 0.729335i
\(406\) −4.29002 −0.212910
\(407\) 0.304780 1.72849i 0.0151074 0.0856781i
\(408\) −10.1000 + 3.08136i −0.500023 + 0.152550i
\(409\) 24.2399 + 8.82259i 1.19858 + 0.436249i 0.862730 0.505665i \(-0.168753\pi\)
0.335854 + 0.941914i \(0.390975\pi\)
\(410\) 4.29563 3.60446i 0.212146 0.178012i
\(411\) 0.657663 + 5.38250i 0.0324401 + 0.265499i
\(412\) 0.460523 0.167617i 0.0226883 0.00825788i
\(413\) 4.08779 7.08026i 0.201147 0.348397i
\(414\) 0.530094 + 7.71148i 0.0260527 + 0.378999i
\(415\) 4.72394 + 8.18210i 0.231889 + 0.401644i
\(416\) −2.87699 2.41408i −0.141056 0.118360i
\(417\) −12.8732 0.682272i −0.630402 0.0334110i
\(418\) 0.607695 + 3.44641i 0.0297234 + 0.168570i
\(419\) −1.58766 9.00409i −0.0775624 0.439878i −0.998715 0.0506769i \(-0.983862\pi\)
0.921153 0.389201i \(-0.127249\pi\)
\(420\) 1.61785 2.48805i 0.0789429 0.121404i
\(421\) 17.8021 + 14.9377i 0.867620 + 0.728019i 0.963596 0.267364i \(-0.0861527\pi\)
−0.0959758 + 0.995384i \(0.530597\pi\)
\(422\) −10.2829 17.8105i −0.500563 0.867001i
\(423\) −12.3341 + 16.9343i −0.599704 + 0.823376i
\(424\) 1.77220 3.06954i 0.0860657 0.149070i
\(425\) −11.8248 + 4.30386i −0.573585 + 0.208768i
\(426\) 15.7337 11.8416i 0.762299 0.573729i
\(427\) −8.95793 + 7.51660i −0.433505 + 0.363754i
\(428\) −3.85539 1.40325i −0.186357 0.0678286i
\(429\) −1.83998 + 7.94842i −0.0888350 + 0.383753i
\(430\) 2.27686 12.9127i 0.109800 0.622707i
\(431\) −5.99707 −0.288869 −0.144434 0.989514i \(-0.546136\pi\)
−0.144434 + 0.989514i \(0.546136\pi\)
\(432\) 5.10243 0.982441i 0.245491 0.0472677i
\(433\) 12.6815 0.609432 0.304716 0.952443i \(-0.401438\pi\)
0.304716 + 0.952443i \(0.401438\pi\)
\(434\) 0.308827 1.75145i 0.0148242 0.0840721i
\(435\) 9.30641 + 8.68864i 0.446208 + 0.416588i
\(436\) 9.89681 + 3.60215i 0.473971 + 0.172511i
\(437\) −5.50730 + 4.62117i −0.263450 + 0.221061i
\(438\) 10.6672 + 4.53541i 0.509700 + 0.216710i
\(439\) 18.8863 6.87404i 0.901392 0.328080i 0.150582 0.988598i \(-0.451885\pi\)
0.750811 + 0.660518i \(0.229663\pi\)
\(440\) 1.07452 1.86113i 0.0512258 0.0887257i
\(441\) 0.830315 2.88281i 0.0395388 0.137277i
\(442\) −11.4482 19.8289i −0.544538 0.943167i
\(443\) 25.1520 + 21.1050i 1.19501 + 1.00273i 0.999759 + 0.0219748i \(0.00699536\pi\)
0.195247 + 0.980754i \(0.437449\pi\)
\(444\) −1.09913 2.16031i −0.0521623 0.102524i
\(445\) 5.00100 + 28.3621i 0.237070 + 1.34449i
\(446\) 4.85394 + 27.5281i 0.229841 + 1.30349i
\(447\) −12.6028 24.7704i −0.596090 1.17160i
\(448\) 0.766044 + 0.642788i 0.0361922 + 0.0303689i
\(449\) −17.8043 30.8380i −0.840238 1.45533i −0.889694 0.456558i \(-0.849082\pi\)
0.0494557 0.998776i \(-0.484251\pi\)
\(450\) 6.01000 1.49093i 0.283314 0.0702831i
\(451\) 2.05230 3.55469i 0.0966390 0.167384i
\(452\) −6.41382 + 2.33444i −0.301681 + 0.109803i
\(453\) −27.8499 11.8410i −1.30850 0.556338i
\(454\) −7.36444 + 6.17950i −0.345630 + 0.290018i
\(455\) 6.04705 + 2.20095i 0.283490 + 0.103182i
\(456\) 3.53259 + 3.29809i 0.165429 + 0.154447i
\(457\) 2.80215 15.8918i 0.131079 0.743385i −0.846431 0.532498i \(-0.821253\pi\)
0.977510 0.210888i \(-0.0676354\pi\)
\(458\) −17.9126 −0.837000
\(459\) 31.2798 + 5.01102i 1.46002 + 0.233894i
\(460\) 4.41483 0.205843
\(461\) 6.57323 37.2786i 0.306146 1.73624i −0.311916 0.950110i \(-0.600971\pi\)
0.618062 0.786129i \(-0.287918\pi\)
\(462\) 0.489924 2.11639i 0.0227933 0.0984636i
\(463\) 29.4281 + 10.7110i 1.36764 + 0.497781i 0.918408 0.395634i \(-0.129475\pi\)
0.449233 + 0.893414i \(0.351697\pi\)
\(464\) −3.28635 + 2.75757i −0.152565 + 0.128017i
\(465\) −4.21717 + 3.17397i −0.195567 + 0.147189i
\(466\) −4.41958 + 1.60860i −0.204733 + 0.0745168i
\(467\) −13.1073 + 22.7024i −0.606531 + 1.05054i 0.385276 + 0.922801i \(0.374106\pi\)
−0.991807 + 0.127742i \(0.959227\pi\)
\(468\) 4.57052 + 10.2982i 0.211272 + 0.476037i
\(469\) 7.78919 + 13.4913i 0.359672 + 0.622969i
\(470\) 9.16622 + 7.69137i 0.422806 + 0.354776i
\(471\) −11.0695 + 17.0236i −0.510057 + 0.784405i
\(472\) −1.41967 8.05137i −0.0653458 0.370594i
\(473\) −1.66661 9.45182i −0.0766309 0.434595i
\(474\) 2.14626 + 0.113751i 0.0985808 + 0.00522474i
\(475\) 4.41184 + 3.70198i 0.202429 + 0.169858i
\(476\) 3.04828 + 5.27978i 0.139718 + 0.241998i
\(477\) −8.82234 + 5.93561i −0.403947 + 0.271773i
\(478\) −12.5822 + 21.7931i −0.575499 + 0.996793i
\(479\) 4.62221 1.68235i 0.211194 0.0768683i −0.234257 0.972175i \(-0.575266\pi\)
0.445451 + 0.895306i \(0.353043\pi\)
\(480\) −0.359945 2.94589i −0.0164292 0.134461i
\(481\) 4.02608 3.37828i 0.183573 0.154036i
\(482\) −3.51765 1.28032i −0.160224 0.0583169i
\(483\) 4.26850 1.30226i 0.194224 0.0592548i
\(484\) −1.63697 + 9.28373i −0.0744078 + 0.421988i
\(485\) 24.8653 1.12908
\(486\) −15.0453 4.07900i −0.682470 0.185027i
\(487\) 4.88965 0.221571 0.110786 0.993844i \(-0.464663\pi\)
0.110786 + 0.993844i \(0.464663\pi\)
\(488\) −2.03060 + 11.5161i −0.0919208 + 0.521309i
\(489\) −39.8300 + 12.1516i −1.80118 + 0.549513i
\(490\) −1.61013 0.586038i −0.0727380 0.0264745i
\(491\) −23.1798 + 19.4502i −1.04609 + 0.877775i −0.992677 0.120797i \(-0.961455\pi\)
−0.0534147 + 0.998572i \(0.517011\pi\)
\(492\) −0.687483 5.62655i −0.0309941 0.253664i
\(493\) −24.5771 + 8.94532i −1.10690 + 0.402877i
\(494\) −5.23960 + 9.07526i −0.235741 + 0.408315i
\(495\) −5.34916 + 3.59888i −0.240427 + 0.161758i
\(496\) −0.889232 1.54019i −0.0399277 0.0691568i
\(497\) −8.70928 7.30795i −0.390664 0.327806i
\(498\) 9.53701 + 0.505457i 0.427363 + 0.0226501i
\(499\) −5.49178 31.1454i −0.245846 1.39426i −0.818520 0.574478i \(-0.805205\pi\)
0.572674 0.819783i \(-0.305906\pi\)
\(500\) −2.10183 11.9201i −0.0939968 0.533083i
\(501\) −6.94588 + 10.6819i −0.310319 + 0.477233i
\(502\) 16.2934 + 13.6717i 0.727208 + 0.610200i
\(503\) −9.71695 16.8303i −0.433257 0.750424i 0.563894 0.825847i \(-0.309303\pi\)
−0.997152 + 0.0754231i \(0.975969\pi\)
\(504\) −1.21697 2.74207i −0.0542083 0.122142i
\(505\) 11.6624 20.1999i 0.518971 0.898885i
\(506\) 3.03667 1.10526i 0.134996 0.0491347i
\(507\) −1.52897 + 1.15075i −0.0679039 + 0.0511064i
\(508\) −5.10824 + 4.28632i −0.226641 + 0.190175i
\(509\) 17.0878 + 6.21944i 0.757402 + 0.275672i 0.691717 0.722169i \(-0.256855\pi\)
0.0656851 + 0.997840i \(0.479077\pi\)
\(510\) 4.08053 17.6272i 0.180689 0.780547i
\(511\) 1.16210 6.59061i 0.0514084 0.291551i
\(512\) 1.00000 0.0441942
\(513\) −5.17187 13.5448i −0.228343 0.598017i
\(514\) 32.0122 1.41200
\(515\) −0.145818 + 0.826972i −0.00642549 + 0.0364408i
\(516\) −9.68817 9.04506i −0.426498 0.398187i
\(517\) 8.23037 + 2.99561i 0.361971 + 0.131747i
\(518\) −1.07201 + 0.899522i −0.0471014 + 0.0395227i
\(519\) −33.1803 14.1073i −1.45645 0.619243i
\(520\) 6.04705 2.20095i 0.265181 0.0965179i
\(521\) 5.19696 9.00140i 0.227683 0.394359i −0.729438 0.684047i \(-0.760218\pi\)
0.957121 + 0.289688i \(0.0935517\pi\)
\(522\) 12.4914 3.09881i 0.546735 0.135631i
\(523\) 17.0844 + 29.5910i 0.747048 + 1.29392i 0.949232 + 0.314577i \(0.101863\pi\)
−0.202184 + 0.979347i \(0.564804\pi\)
\(524\) −0.0953068 0.0799719i −0.00416350 0.00349359i
\(525\) −1.62116 3.18635i −0.0707532 0.139064i
\(526\) −1.77425 10.0623i −0.0773611 0.438736i
\(527\) −1.88278 10.6778i −0.0820153 0.465132i
\(528\) −0.985089 1.93617i −0.0428705 0.0842609i
\(529\) −12.5335 10.5169i −0.544935 0.457255i
\(530\) 3.03660 + 5.25954i 0.131901 + 0.228460i
\(531\) −6.78830 + 23.5686i −0.294587 + 1.02279i
\(532\) 1.39513 2.41644i 0.0604865 0.104766i
\(533\) 11.5497 4.20373i 0.500271 0.182084i
\(534\) 26.7911 + 11.3908i 1.15936 + 0.492929i
\(535\) 5.38531 4.51881i 0.232827 0.195365i
\(536\) 14.6389 + 5.32812i 0.632304 + 0.230140i
\(537\) −12.4922 11.6630i −0.539078 0.503294i
\(538\) 3.20629 18.1838i 0.138233 0.783958i
\(539\) −1.25421 −0.0540228
\(540\) −2.91356 + 8.41318i −0.125380 + 0.362046i
\(541\) 27.8490 1.19732 0.598662 0.801002i \(-0.295699\pi\)
0.598662 + 0.801002i \(0.295699\pi\)
\(542\) 2.22241 12.6039i 0.0954606 0.541384i
\(543\) 0.147962 0.639174i 0.00634967 0.0274296i
\(544\) 5.72890 + 2.08515i 0.245624 + 0.0894000i
\(545\) −13.8241 + 11.5998i −0.592160 + 0.496881i
\(546\) 5.19740 3.91172i 0.222428 0.167406i
\(547\) −10.3695 + 3.77418i −0.443367 + 0.161372i −0.554050 0.832483i \(-0.686918\pi\)
0.110683 + 0.993856i \(0.464696\pi\)
\(548\) 1.56535 2.71126i 0.0668684 0.115819i
\(549\) 20.6537 28.3570i 0.881479 1.21025i
\(550\) −1.29438 2.24194i −0.0551927 0.0955965i
\(551\) 9.16976 + 7.69434i 0.390645 + 0.327790i
\(552\) 2.43279 3.74133i 0.103546 0.159242i
\(553\) −0.215477 1.22203i −0.00916300 0.0519659i
\(554\) 2.57719 + 14.6160i 0.109495 + 0.620974i
\(555\) 4.14734 + 0.219807i 0.176045 + 0.00933030i
\(556\) 5.70148 + 4.78411i 0.241797 + 0.202892i
\(557\) −18.1741 31.4784i −0.770059 1.33378i −0.937530 0.347905i \(-0.886893\pi\)
0.167470 0.985877i \(-0.446440\pi\)
\(558\) 0.365896 + 5.32283i 0.0154896 + 0.225333i
\(559\) 14.3697 24.8890i 0.607772 1.05269i
\(560\) −1.61013 + 0.586038i −0.0680402 + 0.0247646i
\(561\) −1.60627 13.1462i −0.0678168 0.555032i
\(562\) 3.72253 3.12358i 0.157026 0.131760i
\(563\) −24.2070 8.81062i −1.02020 0.371323i −0.222860 0.974850i \(-0.571539\pi\)
−0.797343 + 0.603527i \(0.793762\pi\)
\(564\) 11.5690 3.52955i 0.487145 0.148621i
\(565\) 2.03084 11.5174i 0.0854379 0.484543i
\(566\) −18.7693 −0.788932
\(567\) −0.335327 + 8.99375i −0.0140824 + 0.377702i
\(568\) −11.3692 −0.477039
\(569\) 1.63546 9.27514i 0.0685620 0.388834i −0.931145 0.364648i \(-0.881189\pi\)
0.999707 0.0241864i \(-0.00769952\pi\)
\(570\) −7.92052 + 2.41644i −0.331754 + 0.101213i
\(571\) 43.2087 + 15.7267i 1.80823 + 0.658140i 0.997336 + 0.0729416i \(0.0232387\pi\)
0.810890 + 0.585199i \(0.198984\pi\)
\(572\) 3.60835 3.02777i 0.150873 0.126597i
\(573\) −2.73964 22.4220i −0.114450 0.936692i
\(574\) −3.07528 + 1.11931i −0.128360 + 0.0467192i
\(575\) 2.65908 4.60567i 0.110891 0.192070i
\(576\) −2.69483 1.31830i −0.112285 0.0549290i
\(577\) −16.4242 28.4475i −0.683747 1.18428i −0.973829 0.227283i \(-0.927016\pi\)
0.290082 0.957002i \(-0.406317\pi\)
\(578\) 15.4496 + 12.9638i 0.642621 + 0.539223i
\(579\) 26.1602 + 1.38648i 1.08718 + 0.0576202i
\(580\) −1.27645 7.23910i −0.0530017 0.300587i
\(581\) −0.957482 5.43015i −0.0397231 0.225281i
\(582\) 13.7020 21.0720i 0.567967 0.873463i
\(583\) 3.40540 + 2.85747i 0.141037 + 0.118344i
\(584\) −3.34614 5.79569i −0.138464 0.239827i
\(585\) −19.1973 2.04062i −0.793709 0.0843694i
\(586\) 7.29520 12.6357i 0.301362 0.521974i
\(587\) 23.7564 8.64661i 0.980530 0.356884i 0.198484 0.980104i \(-0.436398\pi\)
0.782046 + 0.623220i \(0.214176\pi\)
\(588\) −1.38389 + 1.04156i −0.0570708 + 0.0429531i
\(589\) −3.80140 + 3.18975i −0.156634 + 0.131431i
\(590\) 13.1637 + 4.79120i 0.541941 + 0.197250i
\(591\) 8.18963 35.3779i 0.336876 1.45525i
\(592\) −0.243005 + 1.37815i −0.00998743 + 0.0566415i
\(593\) −38.9252 −1.59847 −0.799234 0.601021i \(-0.794761\pi\)
−0.799234 + 0.601021i \(0.794761\pi\)
\(594\) 0.102202 + 6.51628i 0.00419341 + 0.267366i
\(595\) −10.4462 −0.428253
\(596\) −2.78633 + 15.8020i −0.114132 + 0.647277i
\(597\) −24.0519 22.4553i −0.984379 0.919035i
\(598\) 9.09306 + 3.30960i 0.371843 + 0.135340i
\(599\) −19.7740 + 16.5923i −0.807942 + 0.677944i −0.950116 0.311898i \(-0.899035\pi\)
0.142174 + 0.989842i \(0.454591\pi\)
\(600\) −3.29003 1.39883i −0.134315 0.0571068i
\(601\) 33.7633 12.2889i 1.37724 0.501273i 0.455896 0.890033i \(-0.349319\pi\)
0.921339 + 0.388760i \(0.127097\pi\)
\(602\) −3.82616 + 6.62710i −0.155943 + 0.270100i
\(603\) −32.4253 33.6568i −1.32046 1.37061i
\(604\) 8.73607 + 15.1313i 0.355466 + 0.615684i
\(605\) −12.3737 10.3828i −0.503062 0.422119i
\(606\) −10.6918 21.0144i −0.434323 0.853652i
\(607\) 0.858112 + 4.86659i 0.0348297 + 0.197529i 0.997258 0.0740083i \(-0.0235791\pi\)
−0.962428 + 0.271537i \(0.912468\pi\)
\(608\) −0.484523 2.74787i −0.0196500 0.111441i
\(609\) −3.36948 6.62264i −0.136538 0.268363i
\(610\) −15.3491 12.8794i −0.621465 0.521471i
\(611\) 13.1134 + 22.7131i 0.530513 + 0.918875i
\(612\) −12.6895 13.1715i −0.512945 0.532426i
\(613\) −3.00127 + 5.19836i −0.121220 + 0.209960i −0.920249 0.391333i \(-0.872014\pi\)
0.799029 + 0.601293i \(0.205347\pi\)
\(614\) 10.0348 3.65238i 0.404973 0.147398i
\(615\) 8.93822 + 3.80028i 0.360424 + 0.153242i
\(616\) −0.960783 + 0.806193i −0.0387110 + 0.0324824i
\(617\) −39.7116 14.4539i −1.59873 0.581890i −0.619563 0.784947i \(-0.712690\pi\)
−0.979167 + 0.203057i \(0.934912\pi\)
\(618\) 0.620461 + 0.579274i 0.0249586 + 0.0233018i
\(619\) −4.67530 + 26.5149i −0.187916 + 1.06572i 0.734235 + 0.678895i \(0.237541\pi\)
−0.922151 + 0.386830i \(0.873570\pi\)
\(620\) 3.04733 0.122384
\(621\) −11.4881 + 6.87511i −0.461002 + 0.275889i
\(622\) 15.3346 0.614862
\(623\) 2.91866 16.5525i 0.116933 0.663163i
\(624\) 1.46704 6.33737i 0.0587285 0.253698i
\(625\) 9.79102 + 3.56364i 0.391641 + 0.142546i
\(626\) −9.95410 + 8.35248i −0.397846 + 0.333832i
\(627\) −4.84304 + 3.64501i −0.193412 + 0.145568i
\(628\) 11.0167 4.00975i 0.439614 0.160006i
\(629\) −4.26579 + 7.38856i −0.170088 + 0.294601i
\(630\) 5.11158 + 0.543349i 0.203650 + 0.0216476i
\(631\) −9.17121 15.8850i −0.365100 0.632372i 0.623692 0.781670i \(-0.285632\pi\)
−0.988792 + 0.149298i \(0.952299\pi\)
\(632\) −0.950569 0.797622i −0.0378116 0.0317277i
\(633\) 19.4182 29.8628i 0.771804 1.18694i
\(634\) 1.69235 + 9.59781i 0.0672119 + 0.381178i
\(635\) −1.98409 11.2523i −0.0787362 0.446535i
\(636\) 6.13048 + 0.324913i 0.243089 + 0.0128836i
\(637\) −2.87699 2.41408i −0.113990 0.0956493i
\(638\) −2.69030 4.65974i −0.106510 0.184481i
\(639\) 30.6379 + 14.9879i 1.21202 + 0.592912i
\(640\) −0.856730 + 1.48390i −0.0338652 + 0.0586563i
\(641\) 2.30577 0.839230i 0.0910723 0.0331476i −0.296082 0.955162i \(-0.595680\pi\)
0.387154 + 0.922015i \(0.373458\pi\)
\(642\) −0.861878 7.05384i −0.0340156 0.278393i
\(643\) −15.7539 + 13.2191i −0.621275 + 0.521312i −0.898204 0.439579i \(-0.855128\pi\)
0.276929 + 0.960890i \(0.410683\pi\)
\(644\) −2.42118 0.881236i −0.0954077 0.0347256i
\(645\) 21.7221 6.62710i 0.855307 0.260942i
\(646\) 2.95393 16.7526i 0.116221 0.659120i
\(647\) 34.4411 1.35402 0.677010 0.735974i \(-0.263275\pi\)
0.677010 + 0.735974i \(0.263275\pi\)
\(648\) 5.52420 + 7.10516i 0.217011 + 0.279117i
\(649\) 10.2539 0.402501
\(650\) 1.34610 7.63408i 0.0527982 0.299433i
\(651\) 2.94632 0.898880i 0.115475 0.0352299i
\(652\) 22.5924 + 8.22294i 0.884785 + 0.322035i
\(653\) 1.89648 1.59133i 0.0742149 0.0622737i −0.604926 0.796282i \(-0.706797\pi\)
0.679140 + 0.734008i \(0.262353\pi\)
\(654\) 2.21244 + 18.1072i 0.0865134 + 0.708049i
\(655\) 0.200322 0.0729114i 0.00782725 0.00284889i
\(656\) −1.63632 + 2.83420i −0.0638877 + 0.110657i
\(657\) 1.37685 + 20.0296i 0.0537161 + 0.781428i
\(658\) −3.49166 6.04774i −0.136119 0.235765i
\(659\) 26.9032 + 22.5745i 1.04800 + 0.879378i 0.992882 0.119102i \(-0.0380015\pi\)
0.0551197 + 0.998480i \(0.482446\pi\)
\(660\) 3.71704 + 0.197001i 0.144685 + 0.00766826i
\(661\) 3.92439 + 22.2563i 0.152641 + 0.865671i 0.960911 + 0.276858i \(0.0892932\pi\)
−0.808270 + 0.588812i \(0.799596\pi\)
\(662\) −0.516827 2.93107i −0.0200871 0.113919i
\(663\) 21.6189 33.2472i 0.839607 1.29121i
\(664\) −4.22391 3.54428i −0.163919 0.137545i
\(665\) 2.39050 + 4.14046i 0.0926995 + 0.160560i
\(666\) 2.47166 3.39352i 0.0957749 0.131496i
\(667\) 5.52675 9.57261i 0.213997 0.370653i
\(668\) 6.91273 2.51603i 0.267461 0.0973480i
\(669\) −38.6836 + 29.1144i −1.49559 + 1.12563i
\(670\) −20.4480 + 17.1579i −0.789974 + 0.662867i
\(671\) −13.7820 5.01622i −0.532046 0.193649i
\(672\) −0.390623 + 1.68743i −0.0150686 + 0.0650940i
\(673\) −6.10431 + 34.6192i −0.235304 + 1.33447i 0.606669 + 0.794954i \(0.292505\pi\)
−0.841973 + 0.539520i \(0.818606\pi\)
\(674\) −11.7371 −0.452098
\(675\) 7.02199 + 8.10682i 0.270277 + 0.312032i
\(676\) 1.10483 0.0424935
\(677\) −6.38106 + 36.1888i −0.245244 + 1.39085i 0.574681 + 0.818377i \(0.305126\pi\)
−0.819925 + 0.572470i \(0.805985\pi\)
\(678\) −8.64131 8.06769i −0.331868 0.309838i
\(679\) −13.6366 4.96332i −0.523325 0.190475i
\(680\) −8.00226 + 6.71470i −0.306873 + 0.257497i
\(681\) −15.3237 6.51520i −0.587205 0.249663i
\(682\) 2.09605 0.762901i 0.0802620 0.0292130i
\(683\) 3.40776 5.90241i 0.130394 0.225849i −0.793434 0.608656i \(-0.791709\pi\)
0.923829 + 0.382806i \(0.125042\pi\)
\(684\) −2.31679 + 8.04378i −0.0885848 + 0.307562i
\(685\) 2.68216 + 4.64564i 0.102480 + 0.177501i
\(686\) 0.766044 + 0.642788i 0.0292477 + 0.0245417i
\(687\) −14.0690 27.6522i −0.536764 1.05500i
\(688\) 1.32881 + 7.53606i 0.0506604 + 0.287310i
\(689\) 2.31152 + 13.1093i 0.0880618 + 0.499423i
\(690\) 3.46751 + 6.81532i 0.132006 + 0.259455i
\(691\) −4.27495 3.58711i −0.162627 0.136460i 0.557843 0.829947i \(-0.311629\pi\)
−0.720469 + 0.693487i \(0.756074\pi\)
\(692\) 10.4081 + 18.0274i 0.395658 + 0.685299i
\(693\) 3.65194 0.905955i 0.138726 0.0344144i
\(694\) 13.4036 23.2157i 0.508794 0.881257i
\(695\) −11.9838 + 4.36174i −0.454571 + 0.165450i
\(696\) −6.83813 2.90738i −0.259199 0.110204i
\(697\) −15.2841 + 12.8248i −0.578925 + 0.485776i
\(698\) −7.28345 2.65096i −0.275683 0.100340i
\(699\) −5.95449 5.55923i −0.225220 0.210269i
\(700\) −0.358420 + 2.03270i −0.0135470 + 0.0768288i
\(701\) 17.6988 0.668473 0.334237 0.942489i \(-0.391521\pi\)
0.334237 + 0.942489i \(0.391521\pi\)
\(702\) −12.3079 + 15.1441i −0.464533 + 0.571579i
\(703\) 3.90471 0.147269
\(704\) −0.217792 + 1.23516i −0.00820834 + 0.0465518i
\(705\) −4.67405 + 20.1912i −0.176035 + 0.760444i
\(706\) −1.65589 0.602696i −0.0623204 0.0226828i
\(707\) −10.4280 + 8.75009i −0.392184 + 0.329081i
\(708\) 11.3141 8.51533i 0.425211 0.320026i
\(709\) −7.27144 + 2.64659i −0.273085 + 0.0993947i −0.474933 0.880022i \(-0.657528\pi\)
0.201848 + 0.979417i \(0.435305\pi\)
\(710\) 9.74029 16.8707i 0.365547 0.633145i
\(711\) 1.51012 + 3.40259i 0.0566339 + 0.127607i
\(712\) −8.40393 14.5560i −0.314951 0.545511i
\(713\) 3.51026 + 2.94546i 0.131460 + 0.110308i
\(714\) −5.75637 + 8.85259i −0.215427 + 0.331300i
\(715\) 1.40152 + 7.94842i 0.0524139 + 0.297254i
\(716\) 1.71341 + 9.71721i 0.0640330 + 0.363149i
\(717\) −43.5251 2.30681i −1.62547 0.0861494i
\(718\) 13.0944 + 10.9875i 0.488678 + 0.410050i
\(719\) 0.415956 + 0.720458i 0.0155126 + 0.0268685i 0.873677 0.486506i \(-0.161729\pi\)
−0.858165 + 0.513374i \(0.828395\pi\)
\(720\) 4.26496 2.86943i 0.158946 0.106937i
\(721\) 0.245039 0.424420i 0.00912574 0.0158062i
\(722\) 10.5381 3.83557i 0.392189 0.142745i
\(723\) −0.786374 6.43590i −0.0292456 0.239354i
\(724\) −0.290167 + 0.243479i −0.0107840 + 0.00904882i
\(725\) −8.32083 3.02854i −0.309028 0.112477i
\(726\) −15.6173 + 4.76462i −0.579613 + 0.176832i
\(727\) 2.54091 14.4102i 0.0942371 0.534445i −0.900741 0.434356i \(-0.856976\pi\)
0.994978 0.100089i \(-0.0319128\pi\)
\(728\) −3.75564 −0.139193
\(729\) −5.52007 26.4297i −0.204447 0.978878i
\(730\) 11.4670 0.424411
\(731\) −8.10118 + 45.9441i −0.299633 + 1.69930i
\(732\) −19.3726 + 5.91031i −0.716034 + 0.218451i
\(733\) 8.82838 + 3.21327i 0.326084 + 0.118685i 0.499874 0.866098i \(-0.333379\pi\)
−0.173791 + 0.984783i \(0.555602\pi\)
\(734\) −10.9253 + 9.16739i −0.403259 + 0.338375i
\(735\) −0.359945 2.94589i −0.0132768 0.108661i
\(736\) −2.42118 + 0.881236i −0.0892457 + 0.0324828i
\(737\) −9.76931 + 16.9209i −0.359857 + 0.623291i
\(738\) 8.14592 5.48052i 0.299856 0.201741i
\(739\) 19.3348 + 33.4889i 0.711242 + 1.23191i 0.964391 + 0.264481i \(0.0852005\pi\)
−0.253149 + 0.967427i \(0.581466\pi\)
\(740\) −1.83684 1.54129i −0.0675237 0.0566591i
\(741\) −18.1251 0.960621i −0.665842 0.0352893i
\(742\) −0.615479 3.49056i −0.0225950 0.128142i
\(743\) 0.115651 + 0.655890i 0.00424282 + 0.0240623i 0.986856 0.161604i \(-0.0516668\pi\)
−0.982613 + 0.185666i \(0.940556\pi\)
\(744\) 1.67922 2.58244i 0.0615634 0.0946769i
\(745\) −21.0615 17.6727i −0.771634 0.647478i
\(746\) 15.8104 + 27.3844i 0.578860 + 1.00261i
\(747\) 6.71030 + 15.1196i 0.245517 + 0.553197i
\(748\) −3.82319 + 6.62197i −0.139790 + 0.242123i
\(749\) −3.85539 + 1.40325i −0.140873 + 0.0512736i
\(750\) 16.7506 12.6070i 0.611645 0.460342i
\(751\) −13.7199 + 11.5123i −0.500645 + 0.420091i −0.857823 0.513945i \(-0.828183\pi\)
0.357178 + 0.934036i \(0.383739\pi\)
\(752\) −6.56218 2.38844i −0.239298 0.0870974i
\(753\) −8.30833 + 35.8907i −0.302772 + 1.30793i
\(754\) 2.79778 15.8670i 0.101889 0.577842i
\(755\) −29.9378 −1.08955
\(756\) 3.27719 4.03237i 0.119190 0.146656i
\(757\) −39.4556 −1.43404 −0.717019 0.697053i \(-0.754494\pi\)
−0.717019 + 0.697053i \(0.754494\pi\)
\(758\) 4.98140 28.2509i 0.180933 1.02612i
\(759\) 4.09129 + 3.81971i 0.148505 + 0.138647i
\(760\) 4.49267 + 1.63520i 0.162966 + 0.0593148i
\(761\) 23.4940 19.7138i 0.851657 0.714625i −0.108497 0.994097i \(-0.534604\pi\)
0.960154 + 0.279472i \(0.0901594\pi\)
\(762\) −10.6291 4.51917i −0.385050 0.163712i
\(763\) 9.89681 3.60215i 0.358289 0.130406i
\(764\) −6.52081 + 11.2944i −0.235915 + 0.408616i
\(765\) 30.4167 7.54561i 1.09972 0.272812i
\(766\) 3.74027 + 6.47834i 0.135141 + 0.234072i
\(767\) 23.5210 + 19.7365i 0.849295 + 0.712643i
\(768\) 0.785424 + 1.54373i 0.0283415 + 0.0557046i
\(769\) 3.91627 + 22.2102i 0.141224 + 0.800922i 0.970322 + 0.241818i \(0.0777437\pi\)
−0.829097 + 0.559104i