Properties

Label 171.2.g.c.106.7
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.7
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.269545 - 0.466866i) q^{2} +(-1.40907 + 1.00723i) q^{3} +(0.854691 - 1.48037i) q^{4} -0.947325 q^{5} +(0.850050 + 0.386354i) q^{6} +(1.18430 - 2.05126i) q^{7} -1.99969 q^{8} +(0.970970 - 2.83852i) q^{9} +O(q^{10})\) \(q+(-0.269545 - 0.466866i) q^{2} +(-1.40907 + 1.00723i) q^{3} +(0.854691 - 1.48037i) q^{4} -0.947325 q^{5} +(0.850050 + 0.386354i) q^{6} +(1.18430 - 2.05126i) q^{7} -1.99969 q^{8} +(0.970970 - 2.83852i) q^{9} +(0.255347 + 0.442274i) q^{10} +(1.76580 - 3.05845i) q^{11} +(0.286752 + 2.94682i) q^{12} +(0.514122 - 0.890485i) q^{13} -1.27689 q^{14} +(1.33485 - 0.954175i) q^{15} +(-1.17037 - 2.02715i) q^{16} +(-0.347984 + 0.602725i) q^{17} +(-1.58693 + 0.311797i) q^{18} +(2.46688 - 3.59367i) q^{19} +(-0.809670 + 1.40239i) q^{20} +(0.397335 + 4.08324i) q^{21} -1.90385 q^{22} +(-1.69005 + 2.92725i) q^{23} +(2.81771 - 2.01415i) q^{24} -4.10258 q^{25} -0.554316 q^{26} +(1.49088 + 4.97768i) q^{27} +(-2.02441 - 3.50639i) q^{28} +3.53104 q^{29} +(-0.805274 - 0.366002i) q^{30} +(4.48279 + 7.76442i) q^{31} +(-2.63063 + 4.55638i) q^{32} +(0.592430 + 6.08814i) q^{33} +0.375189 q^{34} +(-1.12191 + 1.94321i) q^{35} +(-3.37218 - 3.86345i) q^{36} +0.345685 q^{37} +(-2.34270 - 0.183047i) q^{38} +(0.172489 + 1.77260i) q^{39} +1.89436 q^{40} -11.3850 q^{41} +(1.79922 - 1.28612i) q^{42} +(2.10829 + 3.65166i) q^{43} +(-3.01842 - 5.22805i) q^{44} +(-0.919824 + 2.68900i) q^{45} +1.82218 q^{46} +10.2525 q^{47} +(3.69095 + 1.67756i) q^{48} +(0.694884 + 1.20357i) q^{49} +(1.10583 + 1.91535i) q^{50} +(-0.116750 - 1.19978i) q^{51} +(-0.878830 - 1.52218i) q^{52} +(-3.33188 - 5.77099i) q^{53} +(1.92205 - 2.03775i) q^{54} +(-1.67278 + 2.89734i) q^{55} +(-2.36823 + 4.10189i) q^{56} +(0.143642 + 7.54847i) q^{57} +(-0.951774 - 1.64852i) q^{58} +11.0780 q^{59} +(-0.271647 - 2.79159i) q^{60} +3.47551 q^{61} +(2.41663 - 4.18573i) q^{62} +(-4.67264 - 5.35337i) q^{63} -1.84521 q^{64} +(-0.487040 + 0.843578i) q^{65} +(2.68266 - 1.91761i) q^{66} +(1.02176 - 1.76975i) q^{67} +(0.594837 + 1.03029i) q^{68} +(-0.567017 - 5.82698i) q^{69} +1.20962 q^{70} +(1.75729 - 3.04372i) q^{71} +(-1.94164 + 5.67617i) q^{72} +(-4.57554 + 7.92508i) q^{73} +(-0.0931777 - 0.161389i) q^{74} +(5.78083 - 4.13224i) q^{75} +(-3.21154 - 6.72337i) q^{76} +(-4.18245 - 7.24422i) q^{77} +(0.781071 - 0.558324i) q^{78} +(-6.87486 - 11.9076i) q^{79} +(1.10872 + 1.92037i) q^{80} +(-7.11443 - 5.51225i) q^{81} +(3.06876 + 5.31525i) q^{82} +(2.41817 - 4.18839i) q^{83} +(6.38429 + 2.90170i) q^{84} +(0.329653 - 0.570976i) q^{85} +(1.13656 - 1.96858i) q^{86} +(-4.97549 + 3.55657i) q^{87} +(-3.53105 + 6.11595i) q^{88} +(-0.902296 - 1.56282i) q^{89} +(1.50334 - 0.295373i) q^{90} +(-1.21774 - 2.10920i) q^{91} +(2.88894 + 5.00379i) q^{92} +(-14.1372 - 6.42543i) q^{93} +(-2.76352 - 4.78655i) q^{94} +(-2.33694 + 3.40438i) q^{95} +(-0.882584 - 9.06993i) q^{96} +(7.02204 + 12.1625i) q^{97} +(0.374605 - 0.648835i) q^{98} +(-6.96694 - 7.98192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.269545 0.466866i −0.190597 0.330124i 0.754851 0.655896i \(-0.227709\pi\)
−0.945448 + 0.325772i \(0.894376\pi\)
\(3\) −1.40907 + 1.00723i −0.813528 + 0.581525i
\(4\) 0.854691 1.48037i 0.427345 0.740184i
\(5\) −0.947325 −0.423656 −0.211828 0.977307i \(-0.567942\pi\)
−0.211828 + 0.977307i \(0.567942\pi\)
\(6\) 0.850050 + 0.386354i 0.347032 + 0.157728i
\(7\) 1.18430 2.05126i 0.447622 0.775304i −0.550609 0.834763i \(-0.685604\pi\)
0.998231 + 0.0594594i \(0.0189377\pi\)
\(8\) −1.99969 −0.706998
\(9\) 0.970970 2.83852i 0.323657 0.946175i
\(10\) 0.255347 + 0.442274i 0.0807477 + 0.139859i
\(11\) 1.76580 3.05845i 0.532407 0.922157i −0.466877 0.884322i \(-0.654621\pi\)
0.999284 0.0378342i \(-0.0120459\pi\)
\(12\) 0.286752 + 2.94682i 0.0827780 + 0.850673i
\(13\) 0.514122 0.890485i 0.142592 0.246976i −0.785880 0.618379i \(-0.787790\pi\)
0.928472 + 0.371403i \(0.121123\pi\)
\(14\) −1.27689 −0.341262
\(15\) 1.33485 0.954175i 0.344657 0.246367i
\(16\) −1.17037 2.02715i −0.292594 0.506787i
\(17\) −0.347984 + 0.602725i −0.0843984 + 0.146182i −0.905135 0.425125i \(-0.860230\pi\)
0.820736 + 0.571307i \(0.193564\pi\)
\(18\) −1.58693 + 0.311797i −0.374043 + 0.0734913i
\(19\) 2.46688 3.59367i 0.565942 0.824445i
\(20\) −0.809670 + 1.40239i −0.181048 + 0.313584i
\(21\) 0.397335 + 4.08324i 0.0867057 + 0.891035i
\(22\) −1.90385 −0.405901
\(23\) −1.69005 + 2.92725i −0.352399 + 0.610374i −0.986669 0.162738i \(-0.947967\pi\)
0.634270 + 0.773112i \(0.281301\pi\)
\(24\) 2.81771 2.01415i 0.575163 0.411137i
\(25\) −4.10258 −0.820515
\(26\) −0.554316 −0.108710
\(27\) 1.49088 + 4.97768i 0.286920 + 0.957954i
\(28\) −2.02441 3.50639i −0.382578 0.662645i
\(29\) 3.53104 0.655697 0.327849 0.944730i \(-0.393676\pi\)
0.327849 + 0.944730i \(0.393676\pi\)
\(30\) −0.805274 0.366002i −0.147022 0.0668226i
\(31\) 4.48279 + 7.76442i 0.805133 + 1.39453i 0.916201 + 0.400719i \(0.131240\pi\)
−0.111068 + 0.993813i \(0.535427\pi\)
\(32\) −2.63063 + 4.55638i −0.465034 + 0.805462i
\(33\) 0.592430 + 6.08814i 0.103129 + 1.05981i
\(34\) 0.375189 0.0643444
\(35\) −1.12191 + 1.94321i −0.189638 + 0.328463i
\(36\) −3.37218 3.86345i −0.562030 0.643909i
\(37\) 0.345685 0.0568303 0.0284151 0.999596i \(-0.490954\pi\)
0.0284151 + 0.999596i \(0.490954\pi\)
\(38\) −2.34270 0.183047i −0.380036 0.0296941i
\(39\) 0.172489 + 1.77260i 0.0276204 + 0.283843i
\(40\) 1.89436 0.299524
\(41\) −11.3850 −1.77803 −0.889016 0.457876i \(-0.848610\pi\)
−0.889016 + 0.457876i \(0.848610\pi\)
\(42\) 1.79922 1.28612i 0.277626 0.198452i
\(43\) 2.10829 + 3.65166i 0.321511 + 0.556873i 0.980800 0.195016i \(-0.0624760\pi\)
−0.659289 + 0.751890i \(0.729143\pi\)
\(44\) −3.01842 5.22805i −0.455044 0.788159i
\(45\) −0.919824 + 2.68900i −0.137119 + 0.400853i
\(46\) 1.82218 0.268665
\(47\) 10.2525 1.49548 0.747742 0.663990i \(-0.231138\pi\)
0.747742 + 0.663990i \(0.231138\pi\)
\(48\) 3.69095 + 1.67756i 0.532743 + 0.242135i
\(49\) 0.694884 + 1.20357i 0.0992691 + 0.171939i
\(50\) 1.10583 + 1.91535i 0.156388 + 0.270872i
\(51\) −0.116750 1.19978i −0.0163482 0.168003i
\(52\) −0.878830 1.52218i −0.121872 0.211088i
\(53\) −3.33188 5.77099i −0.457669 0.792706i 0.541168 0.840914i \(-0.317982\pi\)
−0.998837 + 0.0482080i \(0.984649\pi\)
\(54\) 1.92205 2.03775i 0.261558 0.277303i
\(55\) −1.67278 + 2.89734i −0.225558 + 0.390678i
\(56\) −2.36823 + 4.10189i −0.316468 + 0.548138i
\(57\) 0.143642 + 7.54847i 0.0190259 + 0.999819i
\(58\) −0.951774 1.64852i −0.124974 0.216461i
\(59\) 11.0780 1.44223 0.721117 0.692814i \(-0.243629\pi\)
0.721117 + 0.692814i \(0.243629\pi\)
\(60\) −0.271647 2.79159i −0.0350695 0.360393i
\(61\) 3.47551 0.444994 0.222497 0.974933i \(-0.428579\pi\)
0.222497 + 0.974933i \(0.428579\pi\)
\(62\) 2.41663 4.18573i 0.306912 0.531588i
\(63\) −4.67264 5.35337i −0.588697 0.674461i
\(64\) −1.84521 −0.230651
\(65\) −0.487040 + 0.843578i −0.0604099 + 0.104633i
\(66\) 2.68266 1.91761i 0.330212 0.236042i
\(67\) 1.02176 1.76975i 0.124828 0.216209i −0.796838 0.604194i \(-0.793495\pi\)
0.921666 + 0.387985i \(0.126829\pi\)
\(68\) 0.594837 + 1.03029i 0.0721345 + 0.124941i
\(69\) −0.567017 5.82698i −0.0682608 0.701485i
\(70\) 1.20962 0.144578
\(71\) 1.75729 3.04372i 0.208552 0.361223i −0.742707 0.669617i \(-0.766458\pi\)
0.951259 + 0.308394i \(0.0997916\pi\)
\(72\) −1.94164 + 5.67617i −0.228825 + 0.668943i
\(73\) −4.57554 + 7.92508i −0.535527 + 0.927560i 0.463611 + 0.886039i \(0.346554\pi\)
−0.999138 + 0.0415210i \(0.986780\pi\)
\(74\) −0.0931777 0.161389i −0.0108317 0.0187610i
\(75\) 5.78083 4.13224i 0.667512 0.477150i
\(76\) −3.21154 6.72337i −0.368388 0.771224i
\(77\) −4.18245 7.24422i −0.476635 0.825555i
\(78\) 0.781071 0.558324i 0.0884389 0.0632178i
\(79\) −6.87486 11.9076i −0.773482 1.33971i −0.935644 0.352946i \(-0.885180\pi\)
0.162162 0.986764i \(-0.448153\pi\)
\(80\) 1.10872 + 1.92037i 0.123959 + 0.214704i
\(81\) −7.11443 5.51225i −0.790493 0.612472i
\(82\) 3.06876 + 5.31525i 0.338888 + 0.586971i
\(83\) 2.41817 4.18839i 0.265428 0.459735i −0.702248 0.711933i \(-0.747820\pi\)
0.967676 + 0.252198i \(0.0811533\pi\)
\(84\) 6.38429 + 2.90170i 0.696583 + 0.316602i
\(85\) 0.329653 0.570976i 0.0357559 0.0619311i
\(86\) 1.13656 1.96858i 0.122558 0.212277i
\(87\) −4.97549 + 3.55657i −0.533428 + 0.381305i
\(88\) −3.53105 + 6.11595i −0.376411 + 0.651963i
\(89\) −0.902296 1.56282i −0.0956432 0.165659i 0.814234 0.580537i \(-0.197157\pi\)
−0.909877 + 0.414878i \(0.863824\pi\)
\(90\) 1.50334 0.295373i 0.158466 0.0311351i
\(91\) −1.21774 2.10920i −0.127654 0.221104i
\(92\) 2.88894 + 5.00379i 0.301193 + 0.521681i
\(93\) −14.1372 6.42543i −1.46595 0.666286i
\(94\) −2.76352 4.78655i −0.285035 0.493695i
\(95\) −2.33694 + 3.40438i −0.239765 + 0.349282i
\(96\) −0.882584 9.06993i −0.0900784 0.925695i
\(97\) 7.02204 + 12.1625i 0.712980 + 1.23492i 0.963734 + 0.266866i \(0.0859883\pi\)
−0.250754 + 0.968051i \(0.580678\pi\)
\(98\) 0.374605 0.648835i 0.0378408 0.0655422i
\(99\) −6.96694 7.98192i −0.700204 0.802213i
\(100\) −3.50643 + 6.07332i −0.350643 + 0.607332i
\(101\) 3.69542 0.367708 0.183854 0.982954i \(-0.441143\pi\)
0.183854 + 0.982954i \(0.441143\pi\)
\(102\) −0.528669 + 0.377902i −0.0523460 + 0.0374179i
\(103\) 2.16977 + 3.75815i 0.213793 + 0.370301i 0.952899 0.303289i \(-0.0980847\pi\)
−0.739105 + 0.673590i \(0.764751\pi\)
\(104\) −1.02808 + 1.78070i −0.100812 + 0.174612i
\(105\) −0.376405 3.86815i −0.0367334 0.377493i
\(106\) −1.79619 + 3.11108i −0.174461 + 0.302175i
\(107\) 7.15846 0.692035 0.346017 0.938228i \(-0.387534\pi\)
0.346017 + 0.938228i \(0.387534\pi\)
\(108\) 8.64304 + 2.04732i 0.831677 + 0.197004i
\(109\) −0.360189 + 0.623866i −0.0344999 + 0.0597555i −0.882760 0.469825i \(-0.844317\pi\)
0.848260 + 0.529580i \(0.177650\pi\)
\(110\) 1.80356 0.171963
\(111\) −0.487095 + 0.348185i −0.0462330 + 0.0330482i
\(112\) −5.54428 −0.523885
\(113\) 1.28139 + 2.21942i 0.120543 + 0.208786i 0.919982 0.391961i \(-0.128203\pi\)
−0.799439 + 0.600747i \(0.794870\pi\)
\(114\) 3.48540 2.10171i 0.326438 0.196844i
\(115\) 1.60102 2.77306i 0.149296 0.258589i
\(116\) 3.01795 5.22724i 0.280209 0.485337i
\(117\) −2.02847 2.32398i −0.187532 0.214852i
\(118\) −2.98602 5.17194i −0.274886 0.476116i
\(119\) 0.824231 + 1.42761i 0.0755572 + 0.130869i
\(120\) −2.66929 + 1.90806i −0.243671 + 0.174181i
\(121\) −0.736069 1.27491i −0.0669153 0.115901i
\(122\) −0.936808 1.62260i −0.0848146 0.146903i
\(123\) 16.0422 11.4673i 1.44648 1.03397i
\(124\) 15.3256 1.37628
\(125\) 8.62310 0.771273
\(126\) −1.23982 + 3.62447i −0.110452 + 0.322893i
\(127\) −0.409916 0.709995i −0.0363741 0.0630018i 0.847265 0.531170i \(-0.178247\pi\)
−0.883639 + 0.468168i \(0.844914\pi\)
\(128\) 5.75862 + 9.97423i 0.508995 + 0.881606i
\(129\) −6.64880 3.02192i −0.585394 0.266065i
\(130\) 0.525117 0.0460558
\(131\) 16.5214 1.44348 0.721741 0.692163i \(-0.243342\pi\)
0.721741 + 0.692163i \(0.243342\pi\)
\(132\) 9.51903 + 4.32646i 0.828525 + 0.376570i
\(133\) −4.45004 9.31620i −0.385868 0.807817i
\(134\) −1.10164 −0.0951676
\(135\) −1.41235 4.71548i −0.121556 0.405844i
\(136\) 0.695860 1.20526i 0.0596695 0.103351i
\(137\) −11.1976 −0.956675 −0.478337 0.878176i \(-0.658760\pi\)
−0.478337 + 0.878176i \(0.658760\pi\)
\(138\) −2.56758 + 1.83535i −0.218567 + 0.156236i
\(139\) −5.27461 + 9.13590i −0.447387 + 0.774897i −0.998215 0.0597219i \(-0.980979\pi\)
0.550828 + 0.834619i \(0.314312\pi\)
\(140\) 1.91778 + 3.32169i 0.162082 + 0.280734i
\(141\) −14.4465 + 10.3267i −1.21662 + 0.869661i
\(142\) −1.89468 −0.158998
\(143\) −1.81567 3.14483i −0.151834 0.262984i
\(144\) −6.89051 + 1.35383i −0.574209 + 0.112820i
\(145\) −3.34504 −0.277790
\(146\) 4.93326 0.408280
\(147\) −2.19142 0.996015i −0.180745 0.0821499i
\(148\) 0.295454 0.511741i 0.0242862 0.0420649i
\(149\) 18.8982 1.54820 0.774100 0.633063i \(-0.218203\pi\)
0.774100 + 0.633063i \(0.218203\pi\)
\(150\) −3.48740 1.58504i −0.284745 0.129418i
\(151\) −10.5000 + 18.1865i −0.854475 + 1.47999i 0.0226553 + 0.999743i \(0.492788\pi\)
−0.877131 + 0.480252i \(0.840545\pi\)
\(152\) −4.93301 + 7.18624i −0.400120 + 0.582881i
\(153\) 1.37297 + 1.57299i 0.110998 + 0.127169i
\(154\) −2.25472 + 3.90529i −0.181690 + 0.314697i
\(155\) −4.24666 7.35543i −0.341100 0.590802i
\(156\) 2.77152 + 1.25967i 0.221899 + 0.100855i
\(157\) −14.6970 −1.17294 −0.586472 0.809969i \(-0.699484\pi\)
−0.586472 + 0.809969i \(0.699484\pi\)
\(158\) −3.70617 + 6.41927i −0.294847 + 0.510690i
\(159\) 10.5076 + 4.77577i 0.833306 + 0.378743i
\(160\) 2.49206 4.31637i 0.197015 0.341239i
\(161\) 4.00304 + 6.93346i 0.315483 + 0.546433i
\(162\) −0.655818 + 4.80728i −0.0515260 + 0.377696i
\(163\) 9.33899 0.731486 0.365743 0.930716i \(-0.380815\pi\)
0.365743 + 0.930716i \(0.380815\pi\)
\(164\) −9.73062 + 16.8539i −0.759834 + 1.31607i
\(165\) −0.561224 5.76744i −0.0436912 0.448995i
\(166\) −2.60722 −0.202359
\(167\) −10.2970 + 17.8349i −0.796805 + 1.38011i 0.124882 + 0.992172i \(0.460145\pi\)
−0.921687 + 0.387935i \(0.873189\pi\)
\(168\) −0.794548 8.16521i −0.0613007 0.629960i
\(169\) 5.97136 + 10.3427i 0.459335 + 0.795592i
\(170\) −0.355426 −0.0272599
\(171\) −7.80546 10.4917i −0.596898 0.802317i
\(172\) 7.20774 0.549585
\(173\) −1.66479 2.88350i −0.126571 0.219228i 0.795775 0.605593i \(-0.207064\pi\)
−0.922346 + 0.386365i \(0.873731\pi\)
\(174\) 3.00156 + 1.36423i 0.227548 + 0.103422i
\(175\) −4.85867 + 8.41546i −0.367281 + 0.636149i
\(176\) −8.26657 −0.623116
\(177\) −15.6097 + 11.1581i −1.17330 + 0.838695i
\(178\) −0.486419 + 0.842503i −0.0364587 + 0.0631482i
\(179\) −20.0903 −1.50162 −0.750809 0.660519i \(-0.770336\pi\)
−0.750809 + 0.660519i \(0.770336\pi\)
\(180\) 3.19455 + 3.65995i 0.238108 + 0.272796i
\(181\) −0.0120393 0.0208527i −0.000894875 0.00154997i 0.865578 0.500775i \(-0.166952\pi\)
−0.866472 + 0.499225i \(0.833618\pi\)
\(182\) −0.656474 + 1.13705i −0.0486611 + 0.0842835i
\(183\) −4.89725 + 3.50065i −0.362015 + 0.258775i
\(184\) 3.37957 5.85360i 0.249146 0.431533i
\(185\) −0.327476 −0.0240765
\(186\) 0.810787 + 8.33210i 0.0594498 + 0.610939i
\(187\) 1.22894 + 2.12858i 0.0898687 + 0.155657i
\(188\) 8.76273 15.1775i 0.639088 1.10693i
\(189\) 11.9762 + 2.83686i 0.871138 + 0.206351i
\(190\) 2.21930 + 0.173404i 0.161005 + 0.0125801i
\(191\) 8.71659 15.0976i 0.630710 1.09242i −0.356697 0.934220i \(-0.616097\pi\)
0.987407 0.158202i \(-0.0505697\pi\)
\(192\) 2.60003 1.85855i 0.187641 0.134129i
\(193\) 20.8338 1.49965 0.749826 0.661635i \(-0.230137\pi\)
0.749826 + 0.661635i \(0.230137\pi\)
\(194\) 3.78551 6.55670i 0.271784 0.470744i
\(195\) −0.163404 1.67923i −0.0117016 0.120252i
\(196\) 2.37564 0.169689
\(197\) −19.7858 −1.40968 −0.704841 0.709365i \(-0.748982\pi\)
−0.704841 + 0.709365i \(0.748982\pi\)
\(198\) −1.84858 + 5.40411i −0.131373 + 0.384054i
\(199\) −11.3938 19.7347i −0.807686 1.39895i −0.914463 0.404670i \(-0.867386\pi\)
0.106777 0.994283i \(-0.465947\pi\)
\(200\) 8.20389 0.580102
\(201\) 0.342805 + 3.52285i 0.0241796 + 0.248483i
\(202\) −0.996083 1.72527i −0.0700842 0.121389i
\(203\) 4.18180 7.24308i 0.293505 0.508365i
\(204\) −1.87591 0.852612i −0.131340 0.0596947i
\(205\) 10.7853 0.753275
\(206\) 1.16970 2.02598i 0.0814969 0.141157i
\(207\) 6.66808 + 7.63951i 0.463464 + 0.530983i
\(208\) −2.40686 −0.166886
\(209\) −6.63505 13.8905i −0.458956 0.960828i
\(210\) −1.70445 + 1.21837i −0.117618 + 0.0840757i
\(211\) 12.7643 0.878727 0.439364 0.898309i \(-0.355204\pi\)
0.439364 + 0.898309i \(0.355204\pi\)
\(212\) −11.3909 −0.782331
\(213\) 0.589576 + 6.05881i 0.0403971 + 0.415143i
\(214\) −1.92953 3.34204i −0.131900 0.228457i
\(215\) −1.99723 3.45931i −0.136210 0.235923i
\(216\) −2.98130 9.95382i −0.202852 0.677272i
\(217\) 21.2358 1.44158
\(218\) 0.388349 0.0263023
\(219\) −1.53511 15.7756i −0.103733 1.06602i
\(220\) 2.85942 + 4.95267i 0.192782 + 0.333909i
\(221\) 0.357812 + 0.619748i 0.0240690 + 0.0416888i
\(222\) 0.293850 + 0.133557i 0.0197219 + 0.00896374i
\(223\) −7.47832 12.9528i −0.500785 0.867385i −1.00000 0.000906894i \(-0.999711\pi\)
0.499214 0.866478i \(-0.333622\pi\)
\(224\) 6.23089 + 10.7922i 0.416319 + 0.721085i
\(225\) −3.98348 + 11.6453i −0.265565 + 0.776351i
\(226\) 0.690782 1.19647i 0.0459502 0.0795880i
\(227\) −4.57627 + 7.92633i −0.303737 + 0.526089i −0.976979 0.213333i \(-0.931568\pi\)
0.673242 + 0.739422i \(0.264901\pi\)
\(228\) 11.2973 + 6.23896i 0.748181 + 0.413185i
\(229\) −9.50543 16.4639i −0.628136 1.08796i −0.987925 0.154930i \(-0.950485\pi\)
0.359789 0.933034i \(-0.382849\pi\)
\(230\) −1.72619 −0.113822
\(231\) 13.1900 + 5.99493i 0.867837 + 0.394438i
\(232\) −7.06099 −0.463576
\(233\) 4.25468 7.36932i 0.278733 0.482780i −0.692337 0.721574i \(-0.743419\pi\)
0.971070 + 0.238794i \(0.0767521\pi\)
\(234\) −0.538224 + 1.57344i −0.0351848 + 0.102859i
\(235\) −9.71246 −0.633571
\(236\) 9.46827 16.3995i 0.616332 1.06752i
\(237\) 21.6809 + 9.85411i 1.40833 + 0.640093i
\(238\) 0.444335 0.769611i 0.0288020 0.0498865i
\(239\) −9.82003 17.0088i −0.635205 1.10021i −0.986472 0.163932i \(-0.947582\pi\)
0.351266 0.936276i \(-0.385751\pi\)
\(240\) −3.49653 1.58920i −0.225700 0.102582i
\(241\) −9.05577 −0.583334 −0.291667 0.956520i \(-0.594210\pi\)
−0.291667 + 0.956520i \(0.594210\pi\)
\(242\) −0.396807 + 0.687291i −0.0255078 + 0.0441807i
\(243\) 15.5769 + 0.601274i 0.999256 + 0.0385718i
\(244\) 2.97049 5.14504i 0.190166 0.329377i
\(245\) −0.658281 1.14018i −0.0420560 0.0728432i
\(246\) −9.67779 4.39862i −0.617033 0.280446i
\(247\) −1.93183 4.04431i −0.122920 0.257333i
\(248\) −8.96420 15.5265i −0.569227 0.985931i
\(249\) 0.811302 + 8.33739i 0.0514142 + 0.528361i
\(250\) −2.32431 4.02583i −0.147002 0.254616i
\(251\) 13.7418 + 23.8015i 0.867376 + 1.50234i 0.864668 + 0.502343i \(0.167529\pi\)
0.00270775 + 0.999996i \(0.499138\pi\)
\(252\) −11.9186 + 2.34175i −0.750802 + 0.147516i
\(253\) 5.96856 + 10.3378i 0.375240 + 0.649935i
\(254\) −0.220982 + 0.382751i −0.0138656 + 0.0240159i
\(255\) 0.110600 + 1.13658i 0.00692603 + 0.0711757i
\(256\) 1.25921 2.18102i 0.0787008 0.136314i
\(257\) 4.20065 7.27574i 0.262029 0.453848i −0.704752 0.709454i \(-0.748942\pi\)
0.966781 + 0.255606i \(0.0822750\pi\)
\(258\) 0.381319 + 3.91864i 0.0237399 + 0.243964i
\(259\) 0.409394 0.709091i 0.0254385 0.0440607i
\(260\) 0.832538 + 1.44200i 0.0516318 + 0.0894289i
\(261\) 3.42853 10.0229i 0.212221 0.620404i
\(262\) −4.45326 7.71328i −0.275124 0.476528i
\(263\) −4.90800 8.50091i −0.302641 0.524189i 0.674093 0.738647i \(-0.264535\pi\)
−0.976733 + 0.214458i \(0.931201\pi\)
\(264\) −1.18468 12.1744i −0.0729119 0.749283i
\(265\) 3.15637 + 5.46700i 0.193895 + 0.335835i
\(266\) −3.14993 + 4.58871i −0.193134 + 0.281352i
\(267\) 2.84553 + 1.29331i 0.174143 + 0.0791493i
\(268\) −1.74658 3.02517i −0.106690 0.184792i
\(269\) −11.0550 + 19.1479i −0.674037 + 1.16747i 0.302712 + 0.953082i \(0.402108\pi\)
−0.976749 + 0.214384i \(0.931226\pi\)
\(270\) −1.82080 + 1.93041i −0.110811 + 0.117481i
\(271\) 1.32540 2.29566i 0.0805124 0.139452i −0.822958 0.568103i \(-0.807678\pi\)
0.903470 + 0.428651i \(0.141011\pi\)
\(272\) 1.62908 0.0987778
\(273\) 3.84034 + 1.74546i 0.232428 + 0.105640i
\(274\) 3.01826 + 5.22777i 0.182340 + 0.315821i
\(275\) −7.24431 + 12.5475i −0.436848 + 0.756644i
\(276\) −9.11069 4.14087i −0.548399 0.249251i
\(277\) 12.5575 21.7502i 0.754507 1.30684i −0.191113 0.981568i \(-0.561210\pi\)
0.945619 0.325276i \(-0.105457\pi\)
\(278\) 5.68699 0.341083
\(279\) 26.3922 5.18549i 1.58006 0.310447i
\(280\) 2.24348 3.88582i 0.134074 0.232222i
\(281\) −18.6546 −1.11284 −0.556419 0.830902i \(-0.687825\pi\)
−0.556419 + 0.830902i \(0.687825\pi\)
\(282\) 8.71516 + 3.96110i 0.518980 + 0.235880i
\(283\) −21.8745 −1.30031 −0.650153 0.759803i \(-0.725295\pi\)
−0.650153 + 0.759803i \(0.725295\pi\)
\(284\) −3.00388 5.20287i −0.178247 0.308734i
\(285\) −0.136076 7.15085i −0.00806045 0.423580i
\(286\) −0.978809 + 1.69535i −0.0578782 + 0.100248i
\(287\) −13.4832 + 23.3535i −0.795886 + 1.37852i
\(288\) 10.3791 + 11.8912i 0.611597 + 0.700697i
\(289\) 8.25781 + 14.3030i 0.485754 + 0.841350i
\(290\) 0.901639 + 1.56168i 0.0529461 + 0.0917053i
\(291\) −22.1450 10.0651i −1.29816 0.590025i
\(292\) 7.82135 + 13.5470i 0.457710 + 0.792777i
\(293\) −14.7038 25.4677i −0.859003 1.48784i −0.872881 0.487932i \(-0.837751\pi\)
0.0138789 0.999904i \(-0.495582\pi\)
\(294\) 0.125681 + 1.29157i 0.00732988 + 0.0753259i
\(295\) −10.4945 −0.611012
\(296\) −0.691264 −0.0401789
\(297\) 17.8566 + 4.22978i 1.03614 + 0.245437i
\(298\) −5.09391 8.82292i −0.295083 0.511098i
\(299\) 1.73778 + 3.00992i 0.100498 + 0.174068i
\(300\) −1.17642 12.0895i −0.0679206 0.697990i
\(301\) 9.98735 0.575661
\(302\) 11.3209 0.651442
\(303\) −5.20712 + 3.72215i −0.299141 + 0.213832i
\(304\) −10.1721 0.794795i −0.583409 0.0455846i
\(305\) −3.29244 −0.188525
\(306\) 0.364298 1.06498i 0.0208255 0.0608810i
\(307\) 10.3513 17.9289i 0.590777 1.02326i −0.403350 0.915046i \(-0.632154\pi\)
0.994128 0.108211i \(-0.0345122\pi\)
\(308\) −14.2988 −0.814750
\(309\) −6.84268 3.11004i −0.389266 0.176924i
\(310\) −2.28933 + 3.96524i −0.130025 + 0.225211i
\(311\) 14.0205 + 24.2843i 0.795031 + 1.37703i 0.922819 + 0.385233i \(0.125879\pi\)
−0.127788 + 0.991802i \(0.540788\pi\)
\(312\) −0.344926 3.54465i −0.0195276 0.200676i
\(313\) 3.50819 0.198294 0.0991472 0.995073i \(-0.468389\pi\)
0.0991472 + 0.995073i \(0.468389\pi\)
\(314\) 3.96149 + 6.86151i 0.223560 + 0.387217i
\(315\) 4.42651 + 5.07138i 0.249405 + 0.285740i
\(316\) −23.5035 −1.32218
\(317\) −8.85899 −0.497571 −0.248785 0.968559i \(-0.580031\pi\)
−0.248785 + 0.968559i \(0.580031\pi\)
\(318\) −0.602626 6.19292i −0.0337936 0.347282i
\(319\) 6.23509 10.7995i 0.349098 0.604656i
\(320\) 1.74801 0.0977167
\(321\) −10.0868 + 7.21023i −0.562990 + 0.402436i
\(322\) 2.15800 3.73776i 0.120260 0.208297i
\(323\) 1.30756 + 2.73739i 0.0727547 + 0.152313i
\(324\) −14.2408 + 5.82071i −0.791155 + 0.323373i
\(325\) −2.10922 + 3.65328i −0.116999 + 0.202648i
\(326\) −2.51728 4.36006i −0.139419 0.241481i
\(327\) −0.120845 1.24187i −0.00668272 0.0686753i
\(328\) 22.7664 1.25706
\(329\) 12.1420 21.0306i 0.669411 1.15945i
\(330\) −2.54135 + 1.81660i −0.139897 + 0.100001i
\(331\) −3.61586 + 6.26286i −0.198746 + 0.344238i −0.948122 0.317907i \(-0.897020\pi\)
0.749376 + 0.662144i \(0.230353\pi\)
\(332\) −4.13357 7.15955i −0.226859 0.392931i
\(333\) 0.335650 0.981235i 0.0183935 0.0537714i
\(334\) 11.1020 0.607475
\(335\) −0.967941 + 1.67652i −0.0528843 + 0.0915983i
\(336\) 7.81230 5.58437i 0.426196 0.304653i
\(337\) 4.80486 0.261737 0.130869 0.991400i \(-0.458223\pi\)
0.130869 + 0.991400i \(0.458223\pi\)
\(338\) 3.21910 5.57565i 0.175096 0.303275i
\(339\) −4.04104 1.83668i −0.219479 0.0997547i
\(340\) −0.563504 0.976017i −0.0305603 0.0529319i
\(341\) 31.6628 1.71464
\(342\) −2.79427 + 6.47208i −0.151097 + 0.349970i
\(343\) 19.8719 1.07298
\(344\) −4.21592 7.30220i −0.227307 0.393708i
\(345\) 0.537149 + 5.52004i 0.0289191 + 0.297189i
\(346\) −0.897470 + 1.55446i −0.0482483 + 0.0835685i
\(347\) 7.25377 0.389403 0.194701 0.980863i \(-0.437626\pi\)
0.194701 + 0.980863i \(0.437626\pi\)
\(348\) 1.01253 + 10.4053i 0.0542773 + 0.557784i
\(349\) 2.96597 5.13721i 0.158765 0.274988i −0.775659 0.631152i \(-0.782582\pi\)
0.934423 + 0.356164i \(0.115916\pi\)
\(350\) 5.23852 0.280011
\(351\) 5.19904 + 1.23152i 0.277504 + 0.0657339i
\(352\) 9.29031 + 16.0913i 0.495175 + 0.857668i
\(353\) −14.9677 + 25.9249i −0.796652 + 1.37984i 0.125133 + 0.992140i \(0.460064\pi\)
−0.921785 + 0.387702i \(0.873269\pi\)
\(354\) 9.41686 + 4.28003i 0.500501 + 0.227481i
\(355\) −1.66472 + 2.88339i −0.0883544 + 0.153034i
\(356\) −3.08474 −0.163491
\(357\) −2.59934 1.18142i −0.137571 0.0625271i
\(358\) 5.41524 + 9.37946i 0.286204 + 0.495720i
\(359\) −4.75528 + 8.23638i −0.250974 + 0.434700i −0.963794 0.266647i \(-0.914084\pi\)
0.712820 + 0.701347i \(0.247418\pi\)
\(360\) 1.83936 5.37718i 0.0969430 0.283402i
\(361\) −6.82897 17.7303i −0.359420 0.933176i
\(362\) −0.00649028 + 0.0112415i −0.000341121 + 0.000590839i
\(363\) 2.32130 + 1.05505i 0.121837 + 0.0553756i
\(364\) −4.16318 −0.218210
\(365\) 4.33453 7.50762i 0.226880 0.392967i
\(366\) 2.95436 + 1.34278i 0.154427 + 0.0701881i
\(367\) 13.9990 0.730740 0.365370 0.930862i \(-0.380942\pi\)
0.365370 + 0.930862i \(0.380942\pi\)
\(368\) 7.91196 0.412439
\(369\) −11.0545 + 32.3165i −0.575472 + 1.68233i
\(370\) 0.0882696 + 0.152887i 0.00458892 + 0.00794824i
\(371\) −15.7837 −0.819451
\(372\) −21.5949 + 15.4364i −1.11964 + 0.800342i
\(373\) −5.05690 8.75881i −0.261836 0.453514i 0.704893 0.709313i \(-0.250995\pi\)
−0.966730 + 0.255799i \(0.917661\pi\)
\(374\) 0.662507 1.14750i 0.0342574 0.0593356i
\(375\) −12.1506 + 8.68545i −0.627453 + 0.448515i
\(376\) −20.5019 −1.05730
\(377\) 1.81538 3.14434i 0.0934970 0.161942i
\(378\) −1.90369 6.35592i −0.0979150 0.326913i
\(379\) −34.5838 −1.77645 −0.888226 0.459407i \(-0.848062\pi\)
−0.888226 + 0.459407i \(0.848062\pi\)
\(380\) 3.04237 + 6.36922i 0.156070 + 0.326734i
\(381\) 1.29273 + 0.587554i 0.0662285 + 0.0301013i
\(382\) −9.39806 −0.480846
\(383\) −20.6916 −1.05729 −0.528646 0.848842i \(-0.677300\pi\)
−0.528646 + 0.848842i \(0.677300\pi\)
\(384\) −18.1607 8.25415i −0.926758 0.421218i
\(385\) 3.96214 + 6.86263i 0.201929 + 0.349752i
\(386\) −5.61566 9.72661i −0.285829 0.495071i
\(387\) 12.4124 2.43877i 0.630958 0.123970i
\(388\) 24.0067 1.21875
\(389\) −20.8651 −1.05790 −0.528951 0.848652i \(-0.677415\pi\)
−0.528951 + 0.848652i \(0.677415\pi\)
\(390\) −0.739928 + 0.528914i −0.0374677 + 0.0267826i
\(391\) −1.17622 2.03727i −0.0594839 0.103029i
\(392\) −1.38955 2.40678i −0.0701831 0.121561i
\(393\) −23.2799 + 16.6409i −1.17431 + 0.839421i
\(394\) 5.33317 + 9.23733i 0.268681 + 0.465370i
\(395\) 6.51272 + 11.2804i 0.327691 + 0.567577i
\(396\) −17.7708 + 3.49157i −0.893014 + 0.175458i
\(397\) −18.2808 + 31.6633i −0.917488 + 1.58914i −0.114271 + 0.993450i \(0.536453\pi\)
−0.803217 + 0.595686i \(0.796880\pi\)
\(398\) −6.14229 + 10.6388i −0.307885 + 0.533273i
\(399\) 15.6540 + 8.64498i 0.783680 + 0.432790i
\(400\) 4.80155 + 8.31653i 0.240078 + 0.415826i
\(401\) 30.1489 1.50556 0.752782 0.658270i \(-0.228712\pi\)
0.752782 + 0.658270i \(0.228712\pi\)
\(402\) 1.55230 1.10961i 0.0774216 0.0553424i
\(403\) 9.21880 0.459221
\(404\) 3.15844 5.47059i 0.157139 0.272172i
\(405\) 6.73968 + 5.22189i 0.334897 + 0.259478i
\(406\) −4.50873 −0.223765
\(407\) 0.610409 1.05726i 0.0302569 0.0524064i
\(408\) 0.233463 + 2.39920i 0.0115581 + 0.118778i
\(409\) −1.41342 + 2.44812i −0.0698891 + 0.121051i −0.898852 0.438252i \(-0.855598\pi\)
0.828963 + 0.559303i \(0.188931\pi\)
\(410\) −2.90711 5.03527i −0.143572 0.248674i
\(411\) 15.7782 11.2786i 0.778282 0.556330i
\(412\) 7.41792 0.365455
\(413\) 13.1196 22.7239i 0.645575 1.11817i
\(414\) 1.76928 5.17229i 0.0869554 0.254204i
\(415\) −2.29079 + 3.96776i −0.112450 + 0.194770i
\(416\) 2.70493 + 4.68507i 0.132620 + 0.229704i
\(417\) −1.76965 18.1859i −0.0866601 0.890567i
\(418\) −4.69657 + 6.84180i −0.229717 + 0.334643i
\(419\) 10.4274 + 18.0609i 0.509414 + 0.882331i 0.999941 + 0.0109044i \(0.00347106\pi\)
−0.490527 + 0.871426i \(0.663196\pi\)
\(420\) −6.04800 2.74885i −0.295112 0.134130i
\(421\) 4.98528 + 8.63476i 0.242968 + 0.420832i 0.961558 0.274601i \(-0.0885457\pi\)
−0.718591 + 0.695433i \(0.755212\pi\)
\(422\) −3.44054 5.95919i −0.167483 0.290089i
\(423\) 9.95489 29.1020i 0.484023 1.41499i
\(424\) 6.66274 + 11.5402i 0.323571 + 0.560442i
\(425\) 1.42763 2.47273i 0.0692502 0.119945i
\(426\) 2.66974 1.90838i 0.129349 0.0924612i
\(427\) 4.11604 7.12919i 0.199189 0.345006i
\(428\) 6.11827 10.5972i 0.295738 0.512233i
\(429\) 5.72598 + 2.60249i 0.276453 + 0.125650i
\(430\) −1.07669 + 1.86488i −0.0519225 + 0.0899325i
\(431\) 14.8144 + 25.6593i 0.713586 + 1.23597i 0.963502 + 0.267700i \(0.0862635\pi\)
−0.249917 + 0.968267i \(0.580403\pi\)
\(432\) 8.34560 8.84799i 0.401528 0.425699i
\(433\) −7.08725 12.2755i −0.340592 0.589922i 0.643951 0.765067i \(-0.277294\pi\)
−0.984543 + 0.175145i \(0.943961\pi\)
\(434\) −5.72401 9.91428i −0.274761 0.475901i
\(435\) 4.71340 3.36923i 0.225990 0.161542i
\(436\) 0.615701 + 1.06642i 0.0294867 + 0.0510725i
\(437\) 6.35043 + 13.2947i 0.303782 + 0.635970i
\(438\) −6.95133 + 4.96894i −0.332147 + 0.237425i
\(439\) −11.4942 19.9085i −0.548587 0.950181i −0.998372 0.0570438i \(-0.981833\pi\)
0.449785 0.893137i \(-0.351501\pi\)
\(440\) 3.34505 5.79379i 0.159469 0.276208i
\(441\) 4.09109 0.803809i 0.194814 0.0382766i
\(442\) 0.192893 0.334100i 0.00917498 0.0158915i
\(443\) 38.0848 1.80946 0.904732 0.425981i \(-0.140071\pi\)
0.904732 + 0.425981i \(0.140071\pi\)
\(444\) 0.0991257 + 1.01867i 0.00470430 + 0.0483440i
\(445\) 0.854768 + 1.48050i 0.0405199 + 0.0701825i
\(446\) −4.03149 + 6.98274i −0.190896 + 0.330642i
\(447\) −26.6289 + 19.0348i −1.25950 + 0.900317i
\(448\) −2.18527 + 3.78500i −0.103244 + 0.178824i
\(449\) 0.792571 0.0374037 0.0187019 0.999825i \(-0.494047\pi\)
0.0187019 + 0.999825i \(0.494047\pi\)
\(450\) 6.51050 1.27917i 0.306908 0.0603007i
\(451\) −20.1035 + 34.8203i −0.946637 + 1.63962i
\(452\) 4.38075 0.206053
\(453\) −3.52277 36.2020i −0.165514 1.70092i
\(454\) 4.93404 0.231566
\(455\) 1.15360 + 1.99809i 0.0540816 + 0.0936721i
\(456\) −0.287240 15.0946i −0.0134513 0.706870i
\(457\) 7.21629 12.4990i 0.337564 0.584677i −0.646410 0.762990i \(-0.723731\pi\)
0.983974 + 0.178313i \(0.0570639\pi\)
\(458\) −5.12428 + 8.87552i −0.239442 + 0.414726i
\(459\) −3.51897 0.833558i −0.164252 0.0389071i
\(460\) −2.73676 4.74021i −0.127602 0.221013i
\(461\) 9.66701 + 16.7437i 0.450237 + 0.779834i 0.998400 0.0565374i \(-0.0180060\pi\)
−0.548163 + 0.836371i \(0.684673\pi\)
\(462\) −0.756465 7.77386i −0.0351939 0.361672i
\(463\) −4.19274 7.26204i −0.194853 0.337496i 0.751999 0.659164i \(-0.229090\pi\)
−0.946852 + 0.321668i \(0.895756\pi\)
\(464\) −4.13264 7.15794i −0.191853 0.332299i
\(465\) 13.3925 + 6.08697i 0.621061 + 0.282276i
\(466\) −4.58731 −0.212503
\(467\) −28.8610 −1.33553 −0.667764 0.744373i \(-0.732748\pi\)
−0.667764 + 0.744373i \(0.732748\pi\)
\(468\) −5.17406 + 1.01659i −0.239171 + 0.0469919i
\(469\) −2.42014 4.19181i −0.111752 0.193560i
\(470\) 2.61795 + 4.53442i 0.120757 + 0.209157i
\(471\) 20.7091 14.8032i 0.954224 0.682097i
\(472\) −22.1526 −1.01966
\(473\) 14.8912 0.684699
\(474\) −1.24343 12.7782i −0.0571127 0.586922i
\(475\) −10.1206 + 14.7433i −0.464364 + 0.676470i
\(476\) 2.81785 0.129156
\(477\) −19.6163 + 3.85417i −0.898166 + 0.176470i
\(478\) −5.29388 + 9.16928i −0.242137 + 0.419393i
\(479\) 13.2299 0.604491 0.302245 0.953230i \(-0.402264\pi\)
0.302245 + 0.953230i \(0.402264\pi\)
\(480\) 0.836094 + 8.59216i 0.0381623 + 0.392177i
\(481\) 0.177724 0.307827i 0.00810353 0.0140357i
\(482\) 2.44094 + 4.22783i 0.111182 + 0.192572i
\(483\) −12.6242 5.73777i −0.574419 0.261077i
\(484\) −2.51645 −0.114384
\(485\) −6.65215 11.5219i −0.302059 0.523181i
\(486\) −3.91795 7.43437i −0.177722 0.337230i
\(487\) 20.4407 0.926254 0.463127 0.886292i \(-0.346727\pi\)
0.463127 + 0.886292i \(0.346727\pi\)
\(488\) −6.94996 −0.314610
\(489\) −13.1593 + 9.40652i −0.595085 + 0.425378i
\(490\) −0.354873 + 0.614658i −0.0160315 + 0.0277674i
\(491\) 22.7484 1.02662 0.513311 0.858203i \(-0.328419\pi\)
0.513311 + 0.858203i \(0.328419\pi\)
\(492\) −3.26465 33.5494i −0.147182 1.51252i
\(493\) −1.22874 + 2.12825i −0.0553398 + 0.0958514i
\(494\) −1.36743 + 1.99203i −0.0615237 + 0.0896257i
\(495\) 6.59996 + 7.56147i 0.296646 + 0.339863i
\(496\) 10.4931 18.1746i 0.471154 0.816062i
\(497\) −4.16230 7.20932i −0.186705 0.323382i
\(498\) 3.67376 2.62607i 0.164625 0.117677i
\(499\) −21.2703 −0.952191 −0.476096 0.879394i \(-0.657948\pi\)
−0.476096 + 0.879394i \(0.657948\pi\)
\(500\) 7.37008 12.7654i 0.329600 0.570884i
\(501\) −3.45467 35.5021i −0.154343 1.58612i
\(502\) 7.40808 12.8312i 0.330639 0.572683i
\(503\) −3.61842 6.26728i −0.161337 0.279444i 0.774011 0.633172i \(-0.218247\pi\)
−0.935349 + 0.353728i \(0.884914\pi\)
\(504\) 9.34383 + 10.7051i 0.416207 + 0.476842i
\(505\) −3.50077 −0.155782
\(506\) 3.21759 5.57303i 0.143039 0.247752i
\(507\) −18.8316 8.55907i −0.836339 0.380122i
\(508\) −1.40140 −0.0621773
\(509\) −1.54773 + 2.68074i −0.0686017 + 0.118822i −0.898286 0.439411i \(-0.855187\pi\)
0.829684 + 0.558233i \(0.188520\pi\)
\(510\) 0.500821 0.357996i 0.0221767 0.0158523i
\(511\) 10.8376 + 18.7713i 0.479427 + 0.830392i
\(512\) 21.6768 0.957990
\(513\) 21.5660 + 6.92161i 0.952161 + 0.305596i
\(514\) −4.52906 −0.199768
\(515\) −2.05547 3.56018i −0.0905750 0.156880i
\(516\) −10.1562 + 7.25986i −0.447103 + 0.319597i
\(517\) 18.1039 31.3568i 0.796206 1.37907i
\(518\) −0.441400 −0.0193940
\(519\) 5.25015 + 2.38623i 0.230456 + 0.104744i
\(520\) 0.973930 1.68690i 0.0427097 0.0739753i
\(521\) −6.71566 −0.294218 −0.147109 0.989120i \(-0.546997\pi\)
−0.147109 + 0.989120i \(0.546997\pi\)
\(522\) −5.60351 + 1.10097i −0.245259 + 0.0481881i
\(523\) 3.39597 + 5.88200i 0.148495 + 0.257202i 0.930672 0.365856i \(-0.119224\pi\)
−0.782176 + 0.623057i \(0.785890\pi\)
\(524\) 14.1207 24.4578i 0.616865 1.06844i
\(525\) −1.63010 16.7518i −0.0711433 0.731108i
\(526\) −2.64586 + 4.58276i −0.115365 + 0.199818i
\(527\) −6.23975 −0.271808
\(528\) 11.6482 8.32635i 0.506923 0.362358i
\(529\) 5.78748 + 10.0242i 0.251629 + 0.435835i
\(530\) 1.70157 2.94721i 0.0739115 0.128018i
\(531\) 10.7564 31.4452i 0.466789 1.36460i
\(532\) −17.5948 1.37477i −0.762832 0.0596038i
\(533\) −5.85325 + 10.1381i −0.253533 + 0.439131i
\(534\) −0.163195 1.67708i −0.00706215 0.0725745i
\(535\) −6.78139 −0.293185
\(536\) −2.04321 + 3.53895i −0.0882533 + 0.152859i
\(537\) 28.3087 20.2356i 1.22161 0.873229i
\(538\) 11.9193 0.513878
\(539\) 4.90809 0.211407
\(540\) −8.18776 1.93948i −0.352345 0.0834619i
\(541\) −10.3094 17.8564i −0.443236 0.767707i 0.554692 0.832056i \(-0.312836\pi\)
−0.997927 + 0.0643490i \(0.979503\pi\)
\(542\) −1.42902 −0.0613818
\(543\) 0.0379678 + 0.0172566i 0.00162935 + 0.000740551i
\(544\) −1.83083 3.17109i −0.0784962 0.135959i
\(545\) 0.341216 0.591003i 0.0146161 0.0253158i
\(546\) −0.220249 2.26340i −0.00942580 0.0968647i
\(547\) −22.6456 −0.968257 −0.484128 0.874997i \(-0.660863\pi\)
−0.484128 + 0.874997i \(0.660863\pi\)
\(548\) −9.57048 + 16.5766i −0.408831 + 0.708115i
\(549\) 3.37462 9.86533i 0.144025 0.421042i
\(550\) 7.81067 0.333048
\(551\) 8.71066 12.6894i 0.371087 0.540586i
\(552\) 1.13386 + 11.6522i 0.0482602 + 0.495949i
\(553\) −32.5675 −1.38491
\(554\) −13.5392 −0.575227
\(555\) 0.461437 0.329844i 0.0195869 0.0140011i
\(556\) 9.01633 + 15.6167i 0.382377 + 0.662297i
\(557\) −16.0313 27.7670i −0.679266 1.17652i −0.975202 0.221316i \(-0.928965\pi\)
0.295936 0.955208i \(-0.404368\pi\)
\(558\) −9.53480 10.9239i −0.403640 0.462445i
\(559\) 4.33567 0.183379
\(560\) 5.25224 0.221947
\(561\) −3.87563 1.76150i −0.163629 0.0743706i
\(562\) 5.02825 + 8.70918i 0.212104 + 0.367374i
\(563\) −2.59076 4.48732i −0.109187 0.189118i 0.806254 0.591570i \(-0.201492\pi\)
−0.915441 + 0.402451i \(0.868158\pi\)
\(564\) 2.93993 + 30.2123i 0.123793 + 1.27217i
\(565\) −1.21389 2.10252i −0.0510687 0.0884535i
\(566\) 5.89617 + 10.2125i 0.247835 + 0.429262i
\(567\) −19.7327 + 8.06543i −0.828694 + 0.338716i
\(568\) −3.51404 + 6.08649i −0.147446 + 0.255384i
\(569\) −10.8816 + 18.8474i −0.456179 + 0.790125i −0.998755 0.0498815i \(-0.984116\pi\)
0.542576 + 0.840007i \(0.317449\pi\)
\(570\) −3.30181 + 1.99101i −0.138298 + 0.0833941i
\(571\) 19.5931 + 33.9363i 0.819946 + 1.42019i 0.905721 + 0.423874i \(0.139330\pi\)
−0.0857751 + 0.996315i \(0.527337\pi\)
\(572\) −6.20734 −0.259542
\(573\) 2.92444 + 30.0532i 0.122170 + 1.25549i
\(574\) 14.5373 0.606775
\(575\) 6.93355 12.0093i 0.289149 0.500821i
\(576\) −1.79164 + 5.23766i −0.0746517 + 0.218236i
\(577\) −15.9226 −0.662866 −0.331433 0.943479i \(-0.607532\pi\)
−0.331433 + 0.943479i \(0.607532\pi\)
\(578\) 4.45171 7.71058i 0.185167 0.320718i
\(579\) −29.3564 + 20.9845i −1.22001 + 0.872086i
\(580\) −2.85897 + 4.95189i −0.118712 + 0.205616i
\(581\) −5.72765 9.92058i −0.237623 0.411575i
\(582\) 1.27005 + 13.0517i 0.0526453 + 0.541012i
\(583\) −23.5337 −0.974666
\(584\) 9.14968 15.8477i 0.378616 0.655783i
\(585\) 1.92162 + 2.20156i 0.0794490 + 0.0910235i
\(586\) −7.92665 + 13.7294i −0.327447 + 0.567155i
\(587\) 4.99469 + 8.65106i 0.206153 + 0.357067i 0.950499 0.310726i \(-0.100572\pi\)
−0.744347 + 0.667794i \(0.767239\pi\)
\(588\) −3.34745 + 2.39282i −0.138047 + 0.0986783i
\(589\) 38.9613 + 3.04424i 1.60537 + 0.125436i
\(590\) 2.82873 + 4.89951i 0.116457 + 0.201710i
\(591\) 27.8797 19.9289i 1.14682 0.819766i
\(592\) −0.404581 0.700755i −0.0166282 0.0288009i
\(593\) −5.45091 9.44125i −0.223842 0.387705i 0.732129 0.681165i \(-0.238527\pi\)
−0.955971 + 0.293460i \(0.905193\pi\)
\(594\) −2.83841 9.47673i −0.116461 0.388835i
\(595\) −0.780815 1.35241i −0.0320103 0.0554434i
\(596\) 16.1521 27.9763i 0.661616 1.14595i
\(597\) 35.9321 + 16.3314i 1.47060 + 0.668398i
\(598\) 0.936821 1.62262i 0.0383094 0.0663539i
\(599\) 0.160528 0.278042i 0.00655898 0.0113605i −0.862727 0.505669i \(-0.831246\pi\)
0.869286 + 0.494309i \(0.164579\pi\)
\(600\) −11.5599 + 8.26321i −0.471930 + 0.337344i
\(601\) −2.05961 + 3.56734i −0.0840131 + 0.145515i −0.904970 0.425475i \(-0.860107\pi\)
0.820957 + 0.570990i \(0.193440\pi\)
\(602\) −2.69204 4.66275i −0.109719 0.190040i
\(603\) −4.03136 4.61867i −0.164170 0.188087i
\(604\) 17.9485 + 31.0876i 0.730312 + 1.26494i
\(605\) 0.697296 + 1.20775i 0.0283491 + 0.0491021i
\(606\) 3.14130 + 1.42774i 0.127606 + 0.0579980i
\(607\) −16.5062 28.5895i −0.669964 1.16041i −0.977914 0.209009i \(-0.932976\pi\)
0.307950 0.951403i \(-0.400357\pi\)
\(608\) 9.88470 + 20.6937i 0.400877 + 0.839240i
\(609\) 1.40301 + 14.4181i 0.0568527 + 0.584249i
\(610\) 0.887461 + 1.53713i 0.0359323 + 0.0622365i
\(611\) 5.27104 9.12971i 0.213244 0.369349i
\(612\) 3.50206 0.688079i 0.141563 0.0278140i
\(613\) −4.42444 + 7.66335i −0.178701 + 0.309520i −0.941436 0.337192i \(-0.890523\pi\)
0.762735 + 0.646712i \(0.223856\pi\)
\(614\) −11.1605 −0.450402
\(615\) −15.1972 + 10.8632i −0.612810 + 0.438048i
\(616\) 8.36361 + 14.4862i 0.336980 + 0.583666i
\(617\) −18.6601 + 32.3203i −0.751229 + 1.30117i 0.195999 + 0.980604i \(0.437205\pi\)
−0.947227 + 0.320562i \(0.896128\pi\)
\(618\) 0.392438 + 4.03291i 0.0157862 + 0.162227i
\(619\) 19.2996 33.4279i 0.775716 1.34358i −0.158674 0.987331i \(-0.550722\pi\)
0.934391 0.356249i \(-0.115945\pi\)
\(620\) −14.5183 −0.583070
\(621\) −17.0906 4.04833i −0.685821 0.162454i
\(622\) 7.55833 13.0914i 0.303061 0.524918i
\(623\) −4.27435 −0.171248
\(624\) 3.39144 2.42426i 0.135766 0.0970483i
\(625\) 12.3440 0.493760
\(626\) −0.945615 1.63785i −0.0377944 0.0654617i
\(627\) 23.3402 + 12.8897i 0.932119 + 0.514766i
\(628\) −12.5614 + 21.7569i −0.501252 + 0.868195i
\(629\) −0.120293 + 0.208353i −0.00479639 + 0.00830758i
\(630\) 1.17451 3.43355i 0.0467936 0.136796i
\(631\) 3.06627 + 5.31093i 0.122066 + 0.211425i 0.920582 0.390549i \(-0.127715\pi\)
−0.798516 + 0.601973i \(0.794381\pi\)
\(632\) 13.7476 + 23.8115i 0.546850 + 0.947172i
\(633\) −17.9858 + 12.8566i −0.714870 + 0.511002i
\(634\) 2.38790 + 4.13596i 0.0948356 + 0.164260i
\(635\) 0.388323 + 0.672596i 0.0154101 + 0.0266911i
\(636\) 16.0506 11.4733i 0.636449 0.454945i
\(637\) 1.42902 0.0566198
\(638\) −6.72255 −0.266148
\(639\) −6.93338 7.94347i −0.274280 0.314239i
\(640\) −5.45529 9.44883i −0.215639 0.373498i
\(641\) 8.01360 + 13.8800i 0.316518 + 0.548225i 0.979759 0.200181i \(-0.0641529\pi\)
−0.663241 + 0.748406i \(0.730820\pi\)
\(642\) 6.08505 + 2.76570i 0.240158 + 0.109153i
\(643\) −49.8726 −1.96678 −0.983391 0.181500i \(-0.941905\pi\)
−0.983391 + 0.181500i \(0.941905\pi\)
\(644\) 13.6854 0.539282
\(645\) 6.29857 + 2.86274i 0.248006 + 0.112720i
\(646\) 0.925548 1.34831i 0.0364152 0.0530484i
\(647\) −38.7875 −1.52490 −0.762448 0.647050i \(-0.776003\pi\)
−0.762448 + 0.647050i \(0.776003\pi\)
\(648\) 14.2267 + 11.0228i 0.558876 + 0.433016i
\(649\) 19.5615 33.8815i 0.767856 1.32997i
\(650\) 2.27412 0.0891985
\(651\) −29.9228 + 21.3894i −1.17277 + 0.838316i
\(652\) 7.98195 13.8251i 0.312597 0.541434i
\(653\) 1.10578 + 1.91527i 0.0432727 + 0.0749505i 0.886851 0.462056i \(-0.152888\pi\)
−0.843578 + 0.537007i \(0.819555\pi\)
\(654\) −0.547212 + 0.391157i −0.0213977 + 0.0152955i
\(655\) −15.6511 −0.611541
\(656\) 13.3247 + 23.0790i 0.520241 + 0.901084i
\(657\) 18.0528 + 20.6828i 0.704307 + 0.806913i
\(658\) −13.0913 −0.510352
\(659\) −38.2285 −1.48917 −0.744585 0.667528i \(-0.767352\pi\)
−0.744585 + 0.667528i \(0.767352\pi\)
\(660\) −9.01761 4.09856i −0.351010 0.159536i
\(661\) −1.04926 + 1.81737i −0.0408115 + 0.0706876i −0.885710 0.464240i \(-0.846328\pi\)
0.844898 + 0.534927i \(0.179661\pi\)
\(662\) 3.89855 0.151522
\(663\) −1.12841 0.512871i −0.0438239 0.0199183i
\(664\) −4.83559 + 8.37548i −0.187657 + 0.325032i
\(665\) 4.21564 + 8.82546i 0.163475 + 0.342237i
\(666\) −0.548578 + 0.107784i −0.0212570 + 0.00417653i
\(667\) −5.96762 + 10.3362i −0.231067 + 0.400220i
\(668\) 17.6015 + 30.4867i 0.681022 + 1.17956i
\(669\) 23.5840 + 10.7191i 0.911809 + 0.414423i
\(670\) 1.04362 0.0403184
\(671\) 6.13705 10.6297i 0.236918 0.410354i
\(672\) −19.6500 8.93107i −0.758016 0.344523i
\(673\) 7.22940 12.5217i 0.278673 0.482675i −0.692382 0.721531i \(-0.743439\pi\)
0.971055 + 0.238855i \(0.0767722\pi\)
\(674\) −1.29513 2.24323i −0.0498864 0.0864058i
\(675\) −6.11646 20.4213i −0.235423 0.786016i
\(676\) 20.4147 0.785179
\(677\) 20.3340 35.2196i 0.781500 1.35360i −0.149568 0.988752i \(-0.547788\pi\)
0.931068 0.364847i \(-0.118879\pi\)
\(678\) 0.231760 + 2.38169i 0.00890068 + 0.0914683i
\(679\) 33.2647 1.27658
\(680\) −0.659205 + 1.14178i −0.0252794 + 0.0437851i
\(681\) −1.53535 15.7781i −0.0588348 0.604619i
\(682\) −8.53455 14.7823i −0.326805 0.566042i
\(683\) −2.83223 −0.108372 −0.0541861 0.998531i \(-0.517256\pi\)
−0.0541861 + 0.998531i \(0.517256\pi\)
\(684\) −22.2028 + 2.58782i −0.848944 + 0.0989479i
\(685\) 10.6078 0.405301
\(686\) −5.35639 9.27753i −0.204508 0.354218i
\(687\) 29.9768 + 13.6246i 1.14369 + 0.519812i
\(688\) 4.93497 8.54762i 0.188144 0.325875i
\(689\) −6.85197 −0.261039
\(690\) 2.43233 1.73868i 0.0925973 0.0661903i
\(691\) −12.1329 + 21.0148i −0.461558 + 0.799441i −0.999039 0.0438345i \(-0.986043\pi\)
0.537481 + 0.843276i \(0.319376\pi\)
\(692\) −5.69151 −0.216359
\(693\) −24.6239 + 4.83806i −0.935385 + 0.183783i
\(694\) −1.95522 3.38654i −0.0742190 0.128551i
\(695\) 4.99677 8.65466i 0.189538 0.328290i
\(696\) 9.94944 7.11205i 0.377133 0.269581i
\(697\) 3.96178 6.86200i 0.150063 0.259917i
\(698\) −3.19785 −0.121040
\(699\) 1.42746 + 14.6694i 0.0539915 + 0.554846i
\(700\) 8.30531 + 14.3852i 0.313911 + 0.543710i
\(701\) −1.69604 + 2.93763i −0.0640585 + 0.110953i −0.896276 0.443497i \(-0.853738\pi\)
0.832217 + 0.554449i \(0.187071\pi\)
\(702\) −0.826420 2.75921i −0.0311912 0.104140i
\(703\) 0.852765 1.24228i 0.0321626 0.0468534i
\(704\) −3.25826 + 5.64347i −0.122800 + 0.212696i
\(705\) 13.6856 9.78270i 0.515428 0.368438i
\(706\) 16.1379 0.607359
\(707\) 4.37648 7.58028i 0.164594 0.285086i
\(708\) 3.17663 + 32.6449i 0.119385 + 1.22687i
\(709\) 16.7072 0.627452 0.313726 0.949514i \(-0.398423\pi\)
0.313726 + 0.949514i \(0.398423\pi\)
\(710\) 1.79487 0.0673604
\(711\) −40.4753 + 7.95252i −1.51794 + 0.298243i
\(712\) 1.80431 + 3.12516i 0.0676195 + 0.117120i
\(713\) −30.3045 −1.13491
\(714\) 0.149076 + 1.53199i 0.00557902 + 0.0573331i
\(715\) 1.72003 + 2.97917i 0.0643254 + 0.111415i
\(716\) −17.1710 + 29.7410i −0.641710 + 1.11147i
\(717\) 30.9689 + 14.0756i 1.15656 + 0.525662i
\(718\) 5.12705 0.191340
\(719\) −3.10479 + 5.37765i −0.115789 + 0.200553i −0.918095 0.396361i \(-0.870273\pi\)
0.802306 + 0.596913i \(0.203606\pi\)
\(720\) 6.52755 1.28252i 0.243267 0.0477967i
\(721\) 10.2786 0.382795
\(722\) −6.43698 + 7.96734i −0.239559 + 0.296514i
\(723\) 12.7602 9.12126i 0.474558 0.339223i
\(724\) −0.0411596 −0.00152968
\(725\) −14.4864 −0.538010
\(726\) −0.133130 1.36812i −0.00494092 0.0507757i
\(727\) −6.07332 10.5193i −0.225247 0.390139i 0.731147 0.682220i \(-0.238986\pi\)
−0.956393 + 0.292081i \(0.905652\pi\)
\(728\) 2.43511 + 4.21774i 0.0902513 + 0.156320i
\(729\) −22.5545 + 14.8423i −0.835353 + 0.549713i
\(730\) −4.67340 −0.172970
\(731\) −2.93460 −0.108540
\(732\) 0.996609 + 10.2417i 0.0368357 + 0.378544i
\(733\) 7.98422 + 13.8291i 0.294904 + 0.510788i 0.974963 0.222369i \(-0.0713791\pi\)
−0.680059 + 0.733158i \(0.738046\pi\)
\(734\) −3.77335 6.53564i −0.139277 0.241235i
\(735\) 2.07599 + 0.943549i 0.0765739 + 0.0348033i
\(736\) −8.89178 15.4010i −0.327755 0.567689i
\(737\) −3.60845 6.25002i −0.132919 0.230222i
\(738\) 18.0671 3.54980i 0.665060 0.130670i
\(739\) 10.1128 17.5160i 0.372007 0.644335i −0.617867 0.786283i \(-0.712003\pi\)
0.989874 + 0.141947i \(0.0453363\pi\)
\(740\) −0.279891 + 0.484785i −0.0102890 + 0.0178211i
\(741\) 6.79565 + 3.75292i 0.249644 + 0.137867i
\(742\) 4.25443 + 7.36889i 0.156185 + 0.270521i
\(743\) −45.8605 −1.68246 −0.841230 0.540677i \(-0.818168\pi\)
−0.841230 + 0.540677i \(0.818168\pi\)
\(744\) 28.2699 + 12.8489i 1.03643 + 0.471063i
\(745\) −17.9027 −0.655905
\(746\) −2.72613 + 4.72179i −0.0998106 + 0.172877i
\(747\) −9.54087 10.9308i −0.349082 0.399938i
\(748\) 4.20144 0.153620
\(749\) 8.47774 14.6839i 0.309770 0.536537i
\(750\) 7.33007 + 3.33156i 0.267656 + 0.121651i
\(751\) −0.779462 + 1.35007i −0.0284430 + 0.0492647i −0.879897 0.475165i \(-0.842388\pi\)
0.851454 + 0.524430i \(0.175722\pi\)
\(752\) −11.9993 20.7834i −0.437569 0.757892i
\(753\) −43.3369 19.6969i −1.57928 0.717795i
\(754\) −1.95731 −0.0712811
\(755\) 9.94688 17.2285i 0.362004 0.627009i
\(756\) 14.4355 15.3045i 0.525014 0.556619i
\(757\) 25.2859 43.7964i 0.919031 1.59181i 0.118141 0.992997i \(-0.462307\pi\)
0.800890 0.598812i \(-0.204360\pi\)
\(758\) 9.32190 + 16.1460i 0.338587 + 0.586449i
\(759\) −18.8227 8.55506i −0.683222 0.310529i
\(760\) 4.67316 6.80770i 0.169513 0.246941i
\(761\) 9.57656 + 16.5871i 0.347150 + 0.601282i 0.985742 0.168264i \(-0.0538161\pi\)
−0.638592 + 0.769546i \(0.720483\pi\)
\(762\) −0.0741400 0.761904i −0.00268581 0.0276009i
\(763\) 0.853141 + 1.47768i 0.0308858 + 0.0534958i
\(764\) −14.9000 25.8075i −0.539062 0.933683i
\(765\) −1.30065 1.49013i −0.0470250 0.0538758i
\(766\) 5.57733 + 9.66021i 0.201517 + 0.349038i
\(767\) 5.69544 9.86480i 0.205651 0.356197i
\(768\) 0.422470 + 4.34153i 0.0152446 + 0.156662i
\(769\) −13.4848 + 23.3564i −0.486274 + 0.842252i −0.999876 0.0157771i \(-0.994978\pi\)
0.513601 + 0.858029i \(0.328311\pi\)
\(770\) 2.13595 3.69957i 0.0769743 0.133323i
\(771\) 1.40933 + 14.4831i 0.0507558 + 0.521595i
\(772\) 17.8065 30.8417i 0.640870 1.11002i
\(773\) 16.8163 + 29.1266i 0.604839 + 1.04761i 0.992077 + 0.125632i \(0.0400957\pi\)
−0.387238 + 0.921980i \(0.626571\pi\)
\(774\) −4.48428 5.13757i −0.161184 0.184666i