Properties

Label 192.2.s.a.131.26
Level $192$
Weight $2$
Character 192.131
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 131.26
Character \(\chi\) \(=\) 192.131
Dual form 192.2.s.a.107.26

$q$-expansion

\(f(q)\) \(=\) \(q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +O(q^{10})\) \(q+(1.17382 + 0.788758i) q^{2} +(0.00323701 - 1.73205i) q^{3} +(0.755721 + 1.85172i) q^{4} +(0.951414 - 1.42389i) q^{5} +(1.36997 - 2.03056i) q^{6} +(-0.304742 - 0.735711i) q^{7} +(-0.573480 + 2.76968i) q^{8} +(-2.99998 - 0.0112133i) q^{9} +(2.23990 - 0.920961i) q^{10} +(5.27874 - 1.05001i) q^{11} +(3.20972 - 1.30295i) q^{12} +(-2.38495 + 1.59357i) q^{13} +(0.222585 - 1.10396i) q^{14} +(-2.46317 - 1.65250i) q^{15} +(-2.85777 + 2.79878i) q^{16} +(-3.60610 + 3.60610i) q^{17} +(-3.51260 - 2.37942i) q^{18} +(-2.23180 + 1.49124i) q^{19} +(3.35566 + 0.685692i) q^{20} +(-1.27527 + 0.525445i) q^{21} +(7.02451 + 2.93113i) q^{22} +(2.89265 - 6.98348i) q^{23} +(4.79536 + 1.00226i) q^{24} +(0.791139 + 1.90998i) q^{25} +(-4.05645 - 0.0105764i) q^{26} +(-0.0291330 + 5.19607i) q^{27} +(1.13203 - 1.12029i) q^{28} +(-0.806254 + 4.05331i) q^{29} +(-1.58790 - 3.88259i) q^{30} -6.95599 q^{31} +(-5.56207 + 1.03118i) q^{32} +(-1.80158 - 9.14643i) q^{33} +(-7.07727 + 1.38858i) q^{34} +(-1.33751 - 0.266047i) q^{35} +(-2.24638 - 5.56361i) q^{36} +(-2.51344 + 3.76162i) q^{37} +(-3.79597 - 0.00989724i) q^{38} +(2.75242 + 4.13600i) q^{39} +(3.39810 + 3.45168i) q^{40} +(-1.08807 - 0.450693i) q^{41} +(-1.91139 - 0.389102i) q^{42} +(1.84512 - 0.367016i) q^{43} +(5.93358 + 8.98127i) q^{44} +(-2.87019 + 4.26097i) q^{45} +(8.90374 - 5.91577i) q^{46} +(-4.93192 - 4.93192i) q^{47} +(4.83836 + 4.95886i) q^{48} +(4.50134 - 4.50134i) q^{49} +(-0.577854 + 2.86600i) q^{50} +(6.23427 + 6.25761i) q^{51} +(-4.75321 - 3.21197i) q^{52} +(-1.88555 - 9.47932i) q^{53} +(-4.13264 + 6.07629i) q^{54} +(3.52717 - 8.51534i) q^{55} +(2.21245 - 0.422120i) q^{56} +(2.57568 + 3.87042i) q^{57} +(-4.14348 + 4.12193i) q^{58} +(2.08460 + 1.39288i) q^{59} +(1.19851 - 5.80994i) q^{60} +(-0.211398 + 1.06277i) q^{61} +(-8.16510 - 5.48659i) q^{62} +(0.905968 + 2.21053i) q^{63} +(-7.34224 - 3.17671i) q^{64} +4.91205i q^{65} +(5.09959 - 12.1573i) q^{66} +(13.8689 + 2.75869i) q^{67} +(-9.40272 - 3.95230i) q^{68} +(-12.0864 - 5.03282i) q^{69} +(-1.36015 - 1.36726i) q^{70} +(4.58122 - 1.89760i) q^{71} +(1.75149 - 8.30255i) q^{72} +(0.638643 + 0.264535i) q^{73} +(-5.91734 + 2.43299i) q^{74} +(3.31074 - 1.36411i) q^{75} +(-4.44799 - 3.00572i) q^{76} +(-2.38115 - 3.56365i) q^{77} +(-0.0314495 + 7.02592i) q^{78} +(2.62297 + 2.62297i) q^{79} +(1.26623 + 6.73195i) q^{80} +(8.99975 + 0.0672794i) q^{81} +(-0.921714 - 1.38726i) q^{82} +(-1.68471 - 2.52135i) q^{83} +(-1.93673 - 1.96437i) q^{84} +(1.70380 + 8.56559i) q^{85} +(2.45533 + 1.02454i) q^{86} +(7.01792 + 1.40959i) q^{87} +(-0.119072 + 15.2226i) q^{88} +(14.6543 - 6.06999i) q^{89} +(-6.72997 + 2.73775i) q^{90} +(1.89920 + 1.26900i) q^{91} +(15.1175 + 0.0788324i) q^{92} +(-0.0225166 + 12.0481i) q^{93} +(-1.89911 - 9.67928i) q^{94} +4.59663i q^{95} +(1.76804 + 9.63712i) q^{96} +0.149313i q^{97} +(8.83425 - 1.73331i) q^{98} +(-15.8479 + 3.09081i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.17382 + 0.788758i 0.830018 + 0.557736i
\(3\) 0.00323701 1.73205i 0.00186889 0.999998i
\(4\) 0.755721 + 1.85172i 0.377861 + 0.925862i
\(5\) 0.951414 1.42389i 0.425485 0.636783i −0.555351 0.831616i \(-0.687416\pi\)
0.980837 + 0.194832i \(0.0624163\pi\)
\(6\) 1.36997 2.03056i 0.559286 0.828974i
\(7\) −0.304742 0.735711i −0.115181 0.278073i 0.855767 0.517361i \(-0.173086\pi\)
−0.970948 + 0.239289i \(0.923086\pi\)
\(8\) −0.573480 + 2.76968i −0.202756 + 0.979229i
\(9\) −2.99998 0.0112133i −0.999993 0.00373777i
\(10\) 2.23990 0.920961i 0.708318 0.291233i
\(11\) 5.27874 1.05001i 1.59160 0.316589i 0.681769 0.731567i \(-0.261211\pi\)
0.909831 + 0.414978i \(0.136211\pi\)
\(12\) 3.20972 1.30295i 0.926567 0.376130i
\(13\) −2.38495 + 1.59357i −0.661465 + 0.441977i −0.840460 0.541873i \(-0.817715\pi\)
0.178995 + 0.983850i \(0.442715\pi\)
\(14\) 0.222585 1.10396i 0.0594885 0.295046i
\(15\) −2.46317 1.65250i −0.635987 0.426674i
\(16\) −2.85777 + 2.79878i −0.714443 + 0.699694i
\(17\) −3.60610 + 3.60610i −0.874608 + 0.874608i −0.992970 0.118362i \(-0.962236\pi\)
0.118362 + 0.992970i \(0.462236\pi\)
\(18\) −3.51260 2.37942i −0.827928 0.560835i
\(19\) −2.23180 + 1.49124i −0.512011 + 0.342115i −0.784586 0.620020i \(-0.787125\pi\)
0.272575 + 0.962134i \(0.412125\pi\)
\(20\) 3.35566 + 0.685692i 0.750348 + 0.153325i
\(21\) −1.27527 + 0.525445i −0.278287 + 0.114662i
\(22\) 7.02451 + 2.93113i 1.49763 + 0.624919i
\(23\) 2.89265 6.98348i 0.603160 1.45616i −0.267151 0.963655i \(-0.586082\pi\)
0.870311 0.492502i \(-0.163918\pi\)
\(24\) 4.79536 + 1.00226i 0.978849 + 0.204586i
\(25\) 0.791139 + 1.90998i 0.158228 + 0.381996i
\(26\) −4.05645 0.0105764i −0.795534 0.00207420i
\(27\) −0.0291330 + 5.19607i −0.00560664 + 0.999984i
\(28\) 1.13203 1.12029i 0.213934 0.211715i
\(29\) −0.806254 + 4.05331i −0.149718 + 0.752681i 0.830850 + 0.556497i \(0.187855\pi\)
−0.980567 + 0.196184i \(0.937145\pi\)
\(30\) −1.58790 3.88259i −0.289909 0.708861i
\(31\) −6.95599 −1.24933 −0.624666 0.780892i \(-0.714765\pi\)
−0.624666 + 0.780892i \(0.714765\pi\)
\(32\) −5.56207 + 1.03118i −0.983245 + 0.182288i
\(33\) −1.80158 9.14643i −0.313614 1.59219i
\(34\) −7.07727 + 1.38858i −1.21374 + 0.238140i
\(35\) −1.33751 0.266047i −0.226080 0.0449701i
\(36\) −2.24638 5.56361i −0.374397 0.927268i
\(37\) −2.51344 + 3.76162i −0.413206 + 0.618407i −0.978442 0.206523i \(-0.933785\pi\)
0.565235 + 0.824930i \(0.308785\pi\)
\(38\) −3.79597 0.00989724i −0.615788 0.00160554i
\(39\) 2.75242 + 4.13600i 0.440740 + 0.662290i
\(40\) 3.39810 + 3.45168i 0.537287 + 0.545759i
\(41\) −1.08807 0.450693i −0.169928 0.0703865i 0.296098 0.955158i \(-0.404315\pi\)
−0.466026 + 0.884771i \(0.654315\pi\)
\(42\) −1.91139 0.389102i −0.294935 0.0600398i
\(43\) 1.84512 0.367016i 0.281377 0.0559695i −0.0523840 0.998627i \(-0.516682\pi\)
0.333761 + 0.942658i \(0.391682\pi\)
\(44\) 5.93358 + 8.98127i 0.894521 + 1.35398i
\(45\) −2.87019 + 4.26097i −0.427862 + 0.635189i
\(46\) 8.90374 5.91577i 1.31279 0.872233i
\(47\) −4.93192 4.93192i −0.719394 0.719394i 0.249087 0.968481i \(-0.419869\pi\)
−0.968481 + 0.249087i \(0.919869\pi\)
\(48\) 4.83836 + 4.95886i 0.698357 + 0.715749i
\(49\) 4.50134 4.50134i 0.643049 0.643049i
\(50\) −0.577854 + 2.86600i −0.0817209 + 0.405313i
\(51\) 6.23427 + 6.25761i 0.872972 + 0.876241i
\(52\) −4.75321 3.21197i −0.659151 0.445420i
\(53\) −1.88555 9.47932i −0.259001 1.30208i −0.863042 0.505132i \(-0.831444\pi\)
0.604041 0.796953i \(-0.293556\pi\)
\(54\) −4.13264 + 6.07629i −0.562381 + 0.826878i
\(55\) 3.52717 8.51534i 0.475604 1.14821i
\(56\) 2.21245 0.422120i 0.295651 0.0564082i
\(57\) 2.57568 + 3.87042i 0.341157 + 0.512649i
\(58\) −4.14348 + 4.12193i −0.544066 + 0.541236i
\(59\) 2.08460 + 1.39288i 0.271392 + 0.181338i 0.683817 0.729653i \(-0.260318\pi\)
−0.412426 + 0.910991i \(0.635318\pi\)
\(60\) 1.19851 5.80994i 0.154727 0.750060i
\(61\) −0.211398 + 1.06277i −0.0270668 + 0.136074i −0.991956 0.126583i \(-0.959599\pi\)
0.964889 + 0.262657i \(0.0845988\pi\)
\(62\) −8.16510 5.48659i −1.03697 0.696798i
\(63\) 0.905968 + 2.21053i 0.114141 + 0.278501i
\(64\) −7.34224 3.17671i −0.917780 0.397089i
\(65\) 4.91205i 0.609264i
\(66\) 5.09959 12.1573i 0.627716 1.49646i
\(67\) 13.8689 + 2.75869i 1.69435 + 0.337027i 0.945478 0.325687i \(-0.105595\pi\)
0.748873 + 0.662714i \(0.230595\pi\)
\(68\) −9.40272 3.95230i −1.14025 0.479287i
\(69\) −12.0864 5.03282i −1.45503 0.605880i
\(70\) −1.36015 1.36726i −0.162569 0.163419i
\(71\) 4.58122 1.89760i 0.543691 0.225204i −0.0938968 0.995582i \(-0.529932\pi\)
0.637588 + 0.770378i \(0.279932\pi\)
\(72\) 1.75149 8.30255i 0.206415 0.978465i
\(73\) 0.638643 + 0.264535i 0.0747476 + 0.0309615i 0.419744 0.907643i \(-0.362120\pi\)
−0.344996 + 0.938604i \(0.612120\pi\)
\(74\) −5.91734 + 2.43299i −0.687877 + 0.282829i
\(75\) 3.31074 1.36411i 0.382291 0.157514i
\(76\) −4.44799 3.00572i −0.510220 0.344780i
\(77\) −2.38115 3.56365i −0.271358 0.406115i
\(78\) −0.0314495 + 7.02592i −0.00356096 + 0.795529i
\(79\) 2.62297 + 2.62297i 0.295108 + 0.295108i 0.839094 0.543986i \(-0.183086\pi\)
−0.543986 + 0.839094i \(0.683086\pi\)
\(80\) 1.26623 + 6.73195i 0.141569 + 0.752655i
\(81\) 8.99975 + 0.0672794i 0.999972 + 0.00747549i
\(82\) −0.921714 1.38726i −0.101786 0.153197i
\(83\) −1.68471 2.52135i −0.184921 0.276754i 0.727414 0.686199i \(-0.240722\pi\)
−0.912335 + 0.409445i \(0.865722\pi\)
\(84\) −1.93673 1.96437i −0.211315 0.214330i
\(85\) 1.70380 + 8.56559i 0.184803 + 0.929069i
\(86\) 2.45533 + 1.02454i 0.264765 + 0.110479i
\(87\) 7.01792 + 1.40959i 0.752400 + 0.151124i
\(88\) −0.119072 + 15.2226i −0.0126931 + 1.62273i
\(89\) 14.6543 6.06999i 1.55335 0.643418i 0.569430 0.822040i \(-0.307164\pi\)
0.983918 + 0.178622i \(0.0571639\pi\)
\(90\) −6.72997 + 2.73775i −0.709401 + 0.288584i
\(91\) 1.89920 + 1.26900i 0.199090 + 0.133028i
\(92\) 15.1175 + 0.0788324i 1.57611 + 0.00821885i
\(93\) −0.0225166 + 12.0481i −0.00233486 + 1.24933i
\(94\) −1.89911 9.67928i −0.195878 0.998342i
\(95\) 4.59663i 0.471605i
\(96\) 1.76804 + 9.63712i 0.180450 + 0.983584i
\(97\) 0.149313i 0.0151604i 0.999971 + 0.00758022i \(0.00241288\pi\)
−0.999971 + 0.00758022i \(0.997587\pi\)
\(98\) 8.83425 1.73331i 0.892394 0.175091i
\(99\) −15.8479 + 3.09081i −1.59277 + 0.310638i
\(100\) −2.93888 + 2.90838i −0.293888 + 0.290838i
\(101\) 1.92669 + 1.28738i 0.191713 + 0.128099i 0.647723 0.761876i \(-0.275722\pi\)
−0.456009 + 0.889975i \(0.650722\pi\)
\(102\) 2.38218 + 12.2627i 0.235871 + 1.21418i
\(103\) −16.6745 + 6.90682i −1.64299 + 0.680549i −0.996595 0.0824521i \(-0.973725\pi\)
−0.646397 + 0.763002i \(0.723725\pi\)
\(104\) −3.04596 7.51941i −0.298681 0.737339i
\(105\) −0.465135 + 2.31577i −0.0453926 + 0.225996i
\(106\) 5.26358 12.6143i 0.511245 1.22521i
\(107\) 1.86716 + 9.38684i 0.180505 + 0.907460i 0.959775 + 0.280772i \(0.0905903\pi\)
−0.779270 + 0.626689i \(0.784410\pi\)
\(108\) −9.64371 + 3.87283i −0.927966 + 0.372664i
\(109\) 3.82994 + 5.73191i 0.366842 + 0.549017i 0.968269 0.249910i \(-0.0804011\pi\)
−0.601427 + 0.798927i \(0.705401\pi\)
\(110\) 10.8568 7.21342i 1.03516 0.687773i
\(111\) 6.50718 + 4.36557i 0.617634 + 0.414361i
\(112\) 2.92997 + 1.24959i 0.276856 + 0.118075i
\(113\) −10.9819 10.9819i −1.03309 1.03309i −0.999434 0.0336525i \(-0.989286\pi\)
−0.0336525 0.999434i \(-0.510714\pi\)
\(114\) −0.0294301 + 6.57477i −0.00275638 + 0.615784i
\(115\) −7.19161 10.7630i −0.670621 1.00366i
\(116\) −8.11492 + 1.57021i −0.753451 + 0.145791i
\(117\) 7.17266 4.75393i 0.663112 0.439501i
\(118\) 1.34830 + 3.27924i 0.124121 + 0.301879i
\(119\) 3.75198 + 1.55412i 0.343943 + 0.142466i
\(120\) 5.98948 5.87451i 0.546762 0.536266i
\(121\) 16.5999 6.87591i 1.50908 0.625083i
\(122\) −1.08641 + 1.08076i −0.0983592 + 0.0978476i
\(123\) −0.784144 + 1.88313i −0.0707039 + 0.169796i
\(124\) −5.25679 12.8806i −0.472074 1.15671i
\(125\) 11.8703 + 2.36114i 1.06171 + 0.211187i
\(126\) −0.680131 + 3.30937i −0.0605909 + 0.294822i
\(127\) 20.2770i 1.79929i −0.436624 0.899644i \(-0.643826\pi\)
0.436624 0.899644i \(-0.356174\pi\)
\(128\) −6.11283 9.52015i −0.540303 0.841470i
\(129\) −0.629717 3.19702i −0.0554435 0.281482i
\(130\) −3.87442 + 5.76587i −0.339809 + 0.505701i
\(131\) 0.249189 1.25276i 0.0217717 0.109454i −0.968371 0.249513i \(-0.919729\pi\)
0.990143 + 0.140059i \(0.0447294\pi\)
\(132\) 15.5752 10.2482i 1.35565 0.891989i
\(133\) 1.77725 + 1.18752i 0.154107 + 0.102971i
\(134\) 14.1036 + 14.1774i 1.21837 + 1.22474i
\(135\) 7.37092 + 4.98509i 0.634388 + 0.429049i
\(136\) −7.91972 12.0558i −0.679110 1.03377i
\(137\) −3.45449 + 8.33988i −0.295137 + 0.712524i 0.704858 + 0.709348i \(0.251011\pi\)
−0.999995 + 0.00317519i \(0.998989\pi\)
\(138\) −10.2176 15.4409i −0.869778 1.31441i
\(139\) −1.01764 5.11603i −0.0863153 0.433936i −0.999643 0.0267113i \(-0.991497\pi\)
0.913328 0.407225i \(-0.133503\pi\)
\(140\) −0.518137 2.67775i −0.0437906 0.226311i
\(141\) −8.55828 + 8.52635i −0.720737 + 0.718048i
\(142\) 6.87429 + 1.38602i 0.576878 + 0.116313i
\(143\) −10.9163 + 10.9163i −0.912863 + 0.912863i
\(144\) 8.60464 8.36422i 0.717053 0.697019i
\(145\) 5.00439 + 5.00439i 0.415592 + 0.415592i
\(146\) 0.541000 + 0.814252i 0.0447735 + 0.0673880i
\(147\) −7.78197 7.81111i −0.641846 0.644250i
\(148\) −8.86495 1.81145i −0.728694 0.148901i
\(149\) 16.6513 3.31215i 1.36413 0.271342i 0.541872 0.840461i \(-0.317716\pi\)
0.822255 + 0.569119i \(0.192716\pi\)
\(150\) 4.96217 + 1.01015i 0.405160 + 0.0824783i
\(151\) −5.96083 2.46906i −0.485086 0.200929i 0.126718 0.991939i \(-0.459556\pi\)
−0.611804 + 0.791010i \(0.709556\pi\)
\(152\) −2.85037 7.03658i −0.231196 0.570742i
\(153\) 10.8587 10.7778i 0.877871 0.871333i
\(154\) 0.0158035 6.06125i 0.00127348 0.488429i
\(155\) −6.61802 + 9.90457i −0.531572 + 0.795554i
\(156\) −5.57867 + 8.22238i −0.446651 + 0.658318i
\(157\) −13.1331 2.61233i −1.04813 0.208487i −0.359162 0.933275i \(-0.616938\pi\)
−0.688972 + 0.724788i \(0.741938\pi\)
\(158\) 1.01002 + 5.14780i 0.0803525 + 0.409537i
\(159\) −16.4247 + 3.23519i −1.30257 + 0.256567i
\(160\) −3.82355 + 8.90086i −0.302278 + 0.703675i
\(161\) −6.01934 −0.474390
\(162\) 10.5110 + 7.17760i 0.825826 + 0.563925i
\(163\) 4.06143 20.4182i 0.318116 1.59928i −0.408849 0.912602i \(-0.634070\pi\)
0.726965 0.686675i \(-0.240930\pi\)
\(164\) 0.0122826 2.35540i 0.000959108 0.183926i
\(165\) −14.7376 6.13679i −1.14732 0.477749i
\(166\) 0.0111813 4.28844i 0.000867835 0.332848i
\(167\) −4.47253 10.7976i −0.346095 0.835546i −0.997073 0.0764504i \(-0.975641\pi\)
0.650979 0.759096i \(-0.274359\pi\)
\(168\) −0.723971 3.83343i −0.0558556 0.295756i
\(169\) −1.82638 + 4.40928i −0.140491 + 0.339175i
\(170\) −4.75622 + 11.3984i −0.364785 + 0.874215i
\(171\) 6.71209 4.44867i 0.513286 0.340199i
\(172\) 2.07401 + 3.13928i 0.158141 + 0.239368i
\(173\) −10.2207 + 6.82923i −0.777062 + 0.519217i −0.879715 0.475501i \(-0.842267\pi\)
0.102653 + 0.994717i \(0.467267\pi\)
\(174\) 7.12597 + 7.19005i 0.540218 + 0.545076i
\(175\) 1.16410 1.16410i 0.0879977 0.0879977i
\(176\) −12.1467 + 17.7747i −0.915592 + 1.33982i
\(177\) 2.41929 3.60611i 0.181845 0.271052i
\(178\) 21.9893 + 4.43357i 1.64816 + 0.332310i
\(179\) −6.50009 + 4.34322i −0.485839 + 0.324627i −0.774251 0.632879i \(-0.781873\pi\)
0.288411 + 0.957507i \(0.406873\pi\)
\(180\) −10.0592 2.09469i −0.749770 0.156129i
\(181\) 12.7875 2.54359i 0.950487 0.189064i 0.304586 0.952485i \(-0.401482\pi\)
0.645901 + 0.763421i \(0.276482\pi\)
\(182\) 1.22839 + 2.98759i 0.0910540 + 0.221455i
\(183\) 1.84008 + 0.369592i 0.136023 + 0.0273210i
\(184\) 17.6831 + 12.0166i 1.30362 + 0.885876i
\(185\) 2.96482 + 7.15772i 0.217978 + 0.526246i
\(186\) −9.52947 + 14.1246i −0.698735 + 1.03566i
\(187\) −15.2492 + 22.8221i −1.11514 + 1.66892i
\(188\) 5.40540 12.8597i 0.394229 0.937890i
\(189\) 3.83168 1.56202i 0.278714 0.113621i
\(190\) −3.62563 + 5.39564i −0.263031 + 0.391441i
\(191\) −11.6080 −0.839922 −0.419961 0.907542i \(-0.637956\pi\)
−0.419961 + 0.907542i \(0.637956\pi\)
\(192\) −5.52598 + 12.7068i −0.398804 + 0.917036i
\(193\) −23.6837 −1.70479 −0.852396 0.522896i \(-0.824852\pi\)
−0.852396 + 0.522896i \(0.824852\pi\)
\(194\) −0.117772 + 0.175267i −0.00845553 + 0.0125834i
\(195\) 8.50790 + 0.0159003i 0.609263 + 0.00113865i
\(196\) 11.7370 + 4.93349i 0.838358 + 0.352392i
\(197\) 5.94160 8.89224i 0.423322 0.633546i −0.557102 0.830444i \(-0.688087\pi\)
0.980424 + 0.196898i \(0.0630869\pi\)
\(198\) −21.0405 8.87209i −1.49528 0.630512i
\(199\) −0.0481228 0.116179i −0.00341134 0.00823569i 0.922165 0.386797i \(-0.126419\pi\)
−0.925576 + 0.378562i \(0.876419\pi\)
\(200\) −5.74373 + 1.09587i −0.406143 + 0.0774895i
\(201\) 4.82307 24.0126i 0.340193 1.69372i
\(202\) 1.24617 + 3.03085i 0.0876802 + 0.213250i
\(203\) 3.22776 0.642042i 0.226545 0.0450625i
\(204\) −6.87601 + 16.2732i −0.481417 + 1.13935i
\(205\) −1.67694 + 1.12050i −0.117123 + 0.0782589i
\(206\) −25.0208 5.04480i −1.74328 0.351488i
\(207\) −8.75621 + 20.9179i −0.608598 + 1.45389i
\(208\) 2.35558 11.2290i 0.163330 0.778590i
\(209\) −10.2153 + 10.2153i −0.706607 + 0.706607i
\(210\) −2.37257 + 2.35142i −0.163723 + 0.162263i
\(211\) −11.9918 + 8.01268i −0.825551 + 0.551615i −0.895050 0.445967i \(-0.852860\pi\)
0.0694988 + 0.997582i \(0.477860\pi\)
\(212\) 16.1281 10.6553i 1.10769 0.731806i
\(213\) −3.27191 7.94104i −0.224188 0.544111i
\(214\) −5.21223 + 12.4912i −0.356301 + 0.853883i
\(215\) 1.23288 2.97643i 0.0840815 0.202991i
\(216\) −14.3747 3.06053i −0.978077 0.208243i
\(217\) 2.11978 + 5.11760i 0.143900 + 0.347405i
\(218\) −0.0254189 + 9.74914i −0.00172159 + 0.660295i
\(219\) 0.460254 1.10530i 0.0311011 0.0746896i
\(220\) 18.4336 + 0.0961247i 1.24280 + 0.00648073i
\(221\) 2.85378 14.3469i 0.191966 0.965079i
\(222\) 4.19490 + 10.2570i 0.281543 + 0.688404i
\(223\) 15.4594 1.03524 0.517618 0.855612i \(-0.326819\pi\)
0.517618 + 0.855612i \(0.326819\pi\)
\(224\) 2.45364 + 3.77784i 0.163941 + 0.252417i
\(225\) −2.35198 5.73877i −0.156799 0.382585i
\(226\) −4.22873 21.5528i −0.281291 1.43367i
\(227\) 8.37592 + 1.66607i 0.555929 + 0.110581i 0.465056 0.885281i \(-0.346034\pi\)
0.0908733 + 0.995862i \(0.471034\pi\)
\(228\) −5.22045 + 7.69441i −0.345733 + 0.509575i
\(229\) 1.16297 1.74050i 0.0768510 0.115016i −0.791053 0.611748i \(-0.790467\pi\)
0.867904 + 0.496732i \(0.165467\pi\)
\(230\) 0.0477300 18.3063i 0.00314723 1.20708i
\(231\) −6.18012 + 4.11274i −0.406622 + 0.270598i
\(232\) −10.7640 4.55756i −0.706691 0.299218i
\(233\) 9.34754 + 3.87188i 0.612378 + 0.253655i 0.667245 0.744839i \(-0.267473\pi\)
−0.0548670 + 0.998494i \(0.517473\pi\)
\(234\) 12.1691 + 0.0772151i 0.795521 + 0.00504771i
\(235\) −11.7148 + 2.33022i −0.764189 + 0.152007i
\(236\) −1.00386 + 4.91273i −0.0653459 + 0.319792i
\(237\) 4.55161 4.53463i 0.295659 0.294556i
\(238\) 3.17833 + 4.78367i 0.206021 + 0.310079i
\(239\) −8.11977 8.11977i −0.525224 0.525224i 0.393920 0.919145i \(-0.371119\pi\)
−0.919145 + 0.393920i \(0.871119\pi\)
\(240\) 11.6642 2.17138i 0.752918 0.140162i
\(241\) −20.6545 + 20.6545i −1.33047 + 1.33047i −0.425523 + 0.904948i \(0.639910\pi\)
−0.904948 + 0.425523i \(0.860090\pi\)
\(242\) 24.9088 + 5.02222i 1.60120 + 0.322840i
\(243\) 0.145663 15.5878i 0.00934431 0.999956i
\(244\) −2.12772 + 0.411707i −0.136213 + 0.0263568i
\(245\) −2.12678 10.6921i −0.135875 0.683091i
\(246\) −2.40578 + 1.59196i −0.153387 + 0.101500i
\(247\) 2.94633 7.11307i 0.187470 0.452594i
\(248\) 3.98912 19.2659i 0.253310 1.22338i
\(249\) −4.37255 + 2.90984i −0.277099 + 0.184403i
\(250\) 12.0712 + 12.1343i 0.763452 + 0.767443i
\(251\) 6.36129 + 4.25048i 0.401521 + 0.268288i 0.739893 0.672725i \(-0.234876\pi\)
−0.338372 + 0.941013i \(0.609876\pi\)
\(252\) −3.40864 + 3.34815i −0.214724 + 0.210914i
\(253\) 7.93686 39.9013i 0.498986 2.50857i
\(254\) 15.9936 23.8016i 1.00353 1.49344i
\(255\) 14.8415 2.92334i 0.929412 0.183067i
\(256\) 0.333710 15.9965i 0.0208568 0.999782i
\(257\) 2.41242i 0.150483i −0.997165 0.0752414i \(-0.976027\pi\)
0.997165 0.0752414i \(-0.0239727\pi\)
\(258\) 1.78250 4.24943i 0.110973 0.264558i
\(259\) 3.53342 + 0.702840i 0.219556 + 0.0436724i
\(260\) −9.09576 + 3.71214i −0.564095 + 0.230217i
\(261\) 2.46420 12.1508i 0.152530 0.752116i
\(262\) 1.28063 1.27397i 0.0791173 0.0787058i
\(263\) −15.6931 + 6.50028i −0.967676 + 0.400825i −0.809847 0.586642i \(-0.800450\pi\)
−0.157830 + 0.987466i \(0.550450\pi\)
\(264\) 26.3658 + 0.255513i 1.62271 + 0.0157258i
\(265\) −15.2915 6.33393i −0.939347 0.389090i
\(266\) 1.14951 + 2.79576i 0.0704809 + 0.171419i
\(267\) −10.4661 25.4015i −0.640514 1.55455i
\(268\) 5.37266 + 27.7661i 0.328187 + 1.69608i
\(269\) 9.94484 + 14.8835i 0.606348 + 0.907464i 0.999930 0.0118258i \(-0.00376437\pi\)
−0.393582 + 0.919289i \(0.628764\pi\)
\(270\) 4.72012 + 11.6655i 0.287258 + 0.709939i
\(271\) 20.7141 + 20.7141i 1.25829 + 1.25829i 0.951909 + 0.306382i \(0.0991183\pi\)
0.306382 + 0.951909i \(0.400882\pi\)
\(272\) 0.212743 20.3981i 0.0128994 1.23682i
\(273\) 2.20412 3.28540i 0.133400 0.198841i
\(274\) −10.6331 + 7.06478i −0.642369 + 0.426799i
\(275\) 6.18171 + 9.25159i 0.372771 + 0.557892i
\(276\) 0.185477 26.1840i 0.0111644 1.57609i
\(277\) 4.98281 + 25.0503i 0.299388 + 1.50513i 0.778652 + 0.627456i \(0.215904\pi\)
−0.479264 + 0.877671i \(0.659096\pi\)
\(278\) 2.84078 6.80799i 0.170379 0.408316i
\(279\) 20.8678 + 0.0779997i 1.24932 + 0.00466972i
\(280\) 1.50390 3.55189i 0.0898751 0.212266i
\(281\) −28.1242 + 11.6494i −1.67775 + 0.694947i −0.999215 0.0396211i \(-0.987385\pi\)
−0.678535 + 0.734568i \(0.737385\pi\)
\(282\) −16.7711 + 3.25801i −0.998706 + 0.194012i
\(283\) 9.93766 + 6.64013i 0.590732 + 0.394715i 0.814701 0.579882i \(-0.196901\pi\)
−0.223968 + 0.974596i \(0.571901\pi\)
\(284\) 6.97597 + 7.04910i 0.413947 + 0.418287i
\(285\) 7.96159 + 0.0148793i 0.471604 + 0.000881377i
\(286\) −21.4240 + 4.20347i −1.26683 + 0.248556i
\(287\) 0.937850i 0.0553595i
\(288\) 16.6977 3.03114i 0.983920 0.178612i
\(289\) 9.00794i 0.529879i
\(290\) 1.92702 + 9.82153i 0.113158 + 0.576740i
\(291\) 0.258617 0.000483328i 0.0151604 2.83332e-5i
\(292\) −0.00720927 + 1.38251i −0.000421891 + 0.0809051i
\(293\) 7.07296 + 4.72600i 0.413207 + 0.276096i 0.744749 0.667344i \(-0.232569\pi\)
−0.331542 + 0.943440i \(0.607569\pi\)
\(294\) −2.97358 15.3070i −0.173423 0.892720i
\(295\) 3.96663 1.64303i 0.230946 0.0956610i
\(296\) −8.97708 9.11863i −0.521782 0.530010i
\(297\) 5.30213 + 27.4593i 0.307661 + 1.59335i
\(298\) 22.1582 + 9.24597i 1.28359 + 0.535604i
\(299\) 4.22985 + 21.2649i 0.244618 + 1.22978i
\(300\) 5.02795 + 5.09969i 0.290289 + 0.294431i
\(301\) −0.832301 1.24563i −0.0479730 0.0717967i
\(302\) −5.04947 7.59989i −0.290564 0.437325i
\(303\) 2.23603 3.33296i 0.128457 0.191474i
\(304\) 2.20433 10.5079i 0.126427 0.602672i
\(305\) 1.31214 + 1.31214i 0.0751330 + 0.0751330i
\(306\) 21.2472 4.08636i 1.21462 0.233602i
\(307\) −6.07810 9.09652i −0.346895 0.519166i 0.616463 0.787384i \(-0.288565\pi\)
−0.963358 + 0.268218i \(0.913565\pi\)
\(308\) 4.79941 7.10237i 0.273472 0.404695i
\(309\) 11.9090 + 28.9035i 0.677478 + 1.64426i
\(310\) −15.5807 + 6.40619i −0.884924 + 0.363847i
\(311\) 11.0707 + 4.58563i 0.627761 + 0.260027i 0.673802 0.738912i \(-0.264660\pi\)
−0.0460403 + 0.998940i \(0.514660\pi\)
\(312\) −13.0338 + 5.25140i −0.737896 + 0.297302i
\(313\) 20.1965 8.36565i 1.14157 0.472855i 0.269873 0.962896i \(-0.413018\pi\)
0.871699 + 0.490041i \(0.163018\pi\)
\(314\) −13.3554 13.4252i −0.753690 0.757630i
\(315\) 4.00951 + 0.813133i 0.225910 + 0.0458148i
\(316\) −2.87479 + 6.83926i −0.161720 + 0.384739i
\(317\) 0.376393 + 0.0748693i 0.0211404 + 0.00420508i 0.205649 0.978626i \(-0.434069\pi\)
−0.184509 + 0.982831i \(0.559069\pi\)
\(318\) −21.8315 9.15761i −1.22425 0.513533i
\(319\) 22.2430i 1.24537i
\(320\) −11.5088 + 7.43218i −0.643361 + 0.415472i
\(321\) 16.2645 3.20362i 0.907796 0.178809i
\(322\) −7.06564 4.74780i −0.393753 0.264585i
\(323\) 2.67053 13.4257i 0.148593 0.747025i
\(324\) 6.67672 + 16.7159i 0.370929 + 0.928661i
\(325\) −4.93051 3.29446i −0.273495 0.182744i
\(326\) 20.8724 20.7639i 1.15602 1.15000i
\(327\) 9.94034 6.61508i 0.549702 0.365815i
\(328\) 1.87226 2.75514i 0.103378 0.152127i
\(329\) −2.12551 + 5.13142i −0.117183 + 0.282905i
\(330\) −12.4588 18.8279i −0.685837 1.03644i
\(331\) 1.37154 + 6.89518i 0.0753865 + 0.378994i 0.999998 0.00191754i \(-0.000610372\pi\)
−0.924612 + 0.380911i \(0.875610\pi\)
\(332\) 3.39567 5.02506i 0.186362 0.275786i
\(333\) 7.58244 11.2566i 0.415515 0.616858i
\(334\) 3.26677 16.2023i 0.178750 0.886548i
\(335\) 17.1231 17.1231i 0.935534 0.935534i
\(336\) 2.17384 5.07081i 0.118592 0.276635i
\(337\) 17.3354 + 17.3354i 0.944318 + 0.944318i 0.998529 0.0542113i \(-0.0172645\pi\)
−0.0542113 + 0.998529i \(0.517264\pi\)
\(338\) −5.62171 + 3.73514i −0.305780 + 0.203165i
\(339\) −19.0566 + 18.9856i −1.03502 + 1.03115i
\(340\) −14.5735 + 9.62817i −0.790360 + 0.522161i
\(341\) −36.7189 + 7.30384i −1.98844 + 0.395525i
\(342\) 11.3877 + 0.0722569i 0.615778 + 0.00390721i
\(343\) −9.83341 4.07313i −0.530954 0.219929i
\(344\) −0.0416200 + 5.32085i −0.00224400 + 0.286881i
\(345\) −18.6653 + 12.4214i −1.00491 + 0.668744i
\(346\) −17.3839 0.0453249i −0.934562 0.00243668i
\(347\) 10.1675 15.2167i 0.545819 0.816875i −0.451328 0.892358i \(-0.649050\pi\)
0.997147 + 0.0754825i \(0.0240497\pi\)
\(348\) 2.69342 + 14.0605i 0.144382 + 0.753723i
\(349\) 13.3260 + 2.65070i 0.713322 + 0.141889i 0.538395 0.842693i \(-0.319031\pi\)
0.174927 + 0.984581i \(0.444031\pi\)
\(350\) 2.28464 0.448254i 0.122119 0.0239602i
\(351\) −8.21082 12.4388i −0.438261 0.663933i
\(352\) −28.2780 + 11.2835i −1.50722 + 0.601415i
\(353\) 13.2033 0.702743 0.351372 0.936236i \(-0.385715\pi\)
0.351372 + 0.936236i \(0.385715\pi\)
\(354\) 5.68417 2.32471i 0.302110 0.123557i
\(355\) 1.65665 8.32857i 0.0879261 0.442034i
\(356\) 22.3145 + 22.5484i 1.18267 + 1.19506i
\(357\) 2.70396 6.49357i 0.143108 0.343676i
\(358\) −11.0557 0.0288255i −0.584312 0.00152348i
\(359\) −9.51903 22.9810i −0.502395 1.21289i −0.948176 0.317747i \(-0.897074\pi\)
0.445780 0.895142i \(-0.352926\pi\)
\(360\) −10.1555 10.3931i −0.535244 0.547763i
\(361\) −4.51385 + 10.8974i −0.237571 + 0.573547i
\(362\) 17.0165 + 7.10051i 0.894369 + 0.373195i
\(363\) −11.8557 28.7741i −0.622262 1.51025i
\(364\) −0.914582 + 4.47581i −0.0479371 + 0.234596i
\(365\) 0.984283 0.657677i 0.0515197 0.0344244i
\(366\) 1.86842 + 1.88522i 0.0976636 + 0.0985419i
\(367\) 6.04728 6.04728i 0.315665 0.315665i −0.531434 0.847100i \(-0.678347\pi\)
0.847100 + 0.531434i \(0.178347\pi\)
\(368\) 11.2787 + 28.0531i 0.587941 + 1.46237i
\(369\) 3.25913 + 1.36427i 0.169664 + 0.0710211i
\(370\) −2.16553 + 10.7404i −0.112581 + 0.558368i
\(371\) −6.39943 + 4.27597i −0.332242 + 0.221997i
\(372\) −22.3268 + 9.06331i −1.15759 + 0.469911i
\(373\) 26.8149 5.33382i 1.38842 0.276175i 0.556401 0.830914i \(-0.312182\pi\)
0.832024 + 0.554739i \(0.187182\pi\)
\(374\) −35.9010 + 14.7612i −1.85640 + 0.763281i
\(375\) 4.12804 20.5522i 0.213171 1.06131i
\(376\) 16.4882 10.8315i 0.850313 0.558590i
\(377\) −4.53636 10.9517i −0.233635 0.564044i
\(378\) 5.72978 + 1.18873i 0.294708 + 0.0611418i
\(379\) 5.46511 8.17912i 0.280724 0.420133i −0.664134 0.747614i \(-0.731200\pi\)
0.944858 + 0.327481i \(0.106200\pi\)
\(380\) −8.51170 + 3.47377i −0.436641 + 0.178201i
\(381\) −35.1207 0.0656367i −1.79929 0.00336267i
\(382\) −13.6257 9.15587i −0.697150 0.468455i
\(383\) −9.12965 −0.466503 −0.233252 0.972416i \(-0.574937\pi\)
−0.233252 + 0.972416i \(0.574937\pi\)
\(384\) −16.5091 + 10.5569i −0.842479 + 0.538730i
\(385\) −7.33971 −0.374066
\(386\) −27.8005 18.6807i −1.41501 0.950825i
\(387\) −5.53942 + 1.08035i −0.281585 + 0.0549173i
\(388\) −0.276487 + 0.112839i −0.0140365 + 0.00572853i
\(389\) −0.446040 + 0.667546i −0.0226151 + 0.0338459i −0.842605 0.538532i \(-0.818979\pi\)
0.819990 + 0.572378i \(0.193979\pi\)
\(390\) 9.97423 + 6.72934i 0.505065 + 0.340753i
\(391\) 14.7519 + 35.6143i 0.746038 + 1.80110i
\(392\) 9.88585 + 15.0487i 0.499311 + 0.760075i
\(393\) −2.16903 0.435662i −0.109413 0.0219763i
\(394\) 13.9882 5.75142i 0.704716 0.289753i
\(395\) 6.23036 1.23930i 0.313484 0.0623558i
\(396\) −17.6999 27.0101i −0.889454 1.35731i
\(397\) −26.1544 + 17.4758i −1.31265 + 0.877086i −0.997410 0.0719252i \(-0.977086\pi\)
−0.315242 + 0.949011i \(0.602086\pi\)
\(398\) 0.0351493 0.174331i 0.00176187 0.00873840i
\(399\) 2.06259 3.07443i 0.103259 0.153914i
\(400\) −7.60650 3.24406i −0.380325 0.162203i
\(401\) −12.4507 + 12.4507i −0.621757 + 0.621757i −0.945981 0.324223i \(-0.894897\pi\)
0.324223 + 0.945981i \(0.394897\pi\)
\(402\) 24.6016 24.3823i 1.22701 1.21608i
\(403\) 16.5897 11.0849i 0.826390 0.552176i
\(404\) −0.927823 + 4.54061i −0.0461609 + 0.225904i
\(405\) 8.65828 12.7507i 0.430233 0.633585i
\(406\) 4.29524 + 1.79228i 0.213169 + 0.0889494i
\(407\) −9.31805 + 22.4958i −0.461879 + 1.11507i
\(408\) −20.9068 + 13.6783i −1.03504 + 0.677177i
\(409\) −6.02622 14.5486i −0.297977 0.719381i −0.999974 0.00720056i \(-0.997708\pi\)
0.701997 0.712180i \(-0.252292\pi\)
\(410\) −2.85224 0.00743664i −0.140862 0.000367269i
\(411\) 14.4339 + 6.01034i 0.711971 + 0.296468i
\(412\) −25.3908 25.6570i −1.25092 1.26403i
\(413\) 0.389497 1.95813i 0.0191659 0.0963534i
\(414\) −26.7774 + 17.6473i −1.31604 + 0.867320i
\(415\) −5.19298 −0.254913
\(416\) 11.6220 11.3229i 0.569815 0.555149i
\(417\) −8.86451 + 1.74604i −0.434097 + 0.0855042i
\(418\) −20.0484 + 3.93355i −0.980597 + 0.192396i
\(419\) 20.4761 + 4.07294i 1.00032 + 0.198976i 0.667977 0.744182i \(-0.267160\pi\)
0.332344 + 0.943158i \(0.392160\pi\)
\(420\) −4.63967 + 0.888771i −0.226393 + 0.0433676i
\(421\) 4.56603 6.83355i 0.222535 0.333047i −0.703356 0.710838i \(-0.748316\pi\)
0.925891 + 0.377791i \(0.123316\pi\)
\(422\) −20.3963 0.0531794i −0.992878 0.00258873i
\(423\) 14.7403 + 14.8509i 0.716700 + 0.722078i
\(424\) 27.3360 + 0.213823i 1.32755 + 0.0103842i
\(425\) −9.74051 4.03465i −0.472484 0.195709i
\(426\) 2.42291 11.9021i 0.117390 0.576660i
\(427\) 0.846314 0.168342i 0.0409560 0.00814665i
\(428\) −15.9708 + 10.5513i −0.771978 + 0.510016i
\(429\) 18.8721 + 18.9428i 0.911155 + 0.914567i
\(430\) 3.79486 2.52136i 0.183004 0.121591i
\(431\) 22.1459 + 22.1459i 1.06673 + 1.06673i 0.997608 + 0.0691236i \(0.0220203\pi\)
0.0691236 + 0.997608i \(0.477980\pi\)
\(432\) −14.4594 14.9307i −0.695677 0.718354i
\(433\) −7.75001 + 7.75001i −0.372442 + 0.372442i −0.868366 0.495924i \(-0.834829\pi\)
0.495924 + 0.868366i \(0.334829\pi\)
\(434\) −1.54830 + 7.67915i −0.0743209 + 0.368611i
\(435\) 8.68405 8.65165i 0.416368 0.414815i
\(436\) −7.71955 + 11.4237i −0.369700 + 0.547097i
\(437\) 3.95824 + 19.8994i 0.189348 + 0.951918i
\(438\) 1.41207 0.934403i 0.0674715 0.0446475i
\(439\) −1.60466 + 3.87398i −0.0765861 + 0.184895i −0.957536 0.288315i \(-0.906905\pi\)
0.880950 + 0.473210i \(0.156905\pi\)
\(440\) 21.5620 + 14.6525i 1.02793 + 0.698531i
\(441\) −13.5544 + 13.4535i −0.645448 + 0.640641i
\(442\) 14.6661 14.5898i 0.697595 0.693967i
\(443\) −13.5119 9.02838i −0.641971 0.428951i 0.191517 0.981489i \(-0.438659\pi\)
−0.833488 + 0.552538i \(0.813659\pi\)
\(444\) −3.16622 + 15.3487i −0.150262 + 0.728415i
\(445\) 5.29925 26.6411i 0.251209 1.26291i
\(446\) 18.1466 + 12.1937i 0.859265 + 0.577388i
\(447\) −5.68290 28.8516i −0.268792 1.36463i
\(448\) −0.0996565 + 6.36984i −0.00470833 + 0.300947i
\(449\) 4.44342i 0.209698i 0.994488 + 0.104849i \(0.0334359\pi\)
−0.994488 + 0.104849i \(0.966564\pi\)
\(450\) 1.76569 8.59145i 0.0832353 0.405005i
\(451\) −6.21687 1.23661i −0.292741 0.0582298i
\(452\) 12.0362 28.6346i 0.566133 1.34686i
\(453\) −4.29582 + 10.3165i −0.201835 + 0.484709i
\(454\) 8.51772 + 8.56225i 0.399756 + 0.401846i
\(455\) 3.61385 1.49690i 0.169420 0.0701760i
\(456\) −12.1969 + 4.91420i −0.571173 + 0.230128i
\(457\) 3.26785 + 1.35359i 0.152864 + 0.0633182i 0.457803 0.889053i \(-0.348636\pi\)
−0.304940 + 0.952372i \(0.598636\pi\)
\(458\) 2.73795 1.12574i 0.127936 0.0526025i
\(459\) −18.6325 18.8426i −0.869691 0.879498i
\(460\) 14.4953 21.4507i 0.675845 1.00014i
\(461\) −0.445238 0.666345i −0.0207368 0.0310348i 0.820956 0.570991i \(-0.193441\pi\)
−0.841693 + 0.539956i \(0.818441\pi\)
\(462\) −10.4983 0.0469927i −0.488426 0.00218630i
\(463\) 13.5750 + 13.5750i 0.630885 + 0.630885i 0.948290 0.317405i \(-0.102811\pi\)
−0.317405 + 0.948290i \(0.602811\pi\)
\(464\) −9.04022 13.8400i −0.419682 0.642504i
\(465\) 17.1338 + 11.4948i 0.794559 + 0.533058i
\(466\) 7.91838 + 11.9178i 0.366812 + 0.552084i
\(467\) −22.5240 33.7096i −1.04229 1.55989i −0.809284 0.587417i \(-0.800145\pi\)
−0.233003 0.972476i \(-0.574855\pi\)
\(468\) 14.2235 + 9.68914i 0.657482 + 0.447881i
\(469\) −2.19682 11.0442i −0.101440 0.509972i
\(470\) −15.5891 6.50488i −0.719071 0.300048i
\(471\) −4.56720 + 22.7387i −0.210445 + 1.04774i
\(472\) −5.05332 + 4.97488i −0.232598 + 0.228987i
\(473\) 9.35452 3.87477i 0.430121 0.178162i
\(474\) 8.91951 1.73273i 0.409686 0.0795870i
\(475\) −4.61391 3.08292i −0.211701 0.141454i
\(476\) −0.0423539 + 8.12211i −0.00194129 + 0.372276i
\(477\) 5.55033 + 28.4589i 0.254132 + 1.30304i
\(478\) −3.12664 15.9357i −0.143009 0.728882i
\(479\) 0.596301i 0.0272457i −0.999907 0.0136228i \(-0.995664\pi\)
0.999907 0.0136228i \(-0.00433642\pi\)
\(480\) 15.4043 + 6.65138i 0.703109 + 0.303593i
\(481\) 12.9766i 0.591682i
\(482\) −40.5361 + 7.95331i −1.84637 + 0.362263i
\(483\) −0.0194847 + 10.4258i −0.000886582 + 0.474389i
\(484\) 25.2772 + 25.5422i 1.14896 + 1.16101i
\(485\) 0.212605 + 0.142058i 0.00965392 + 0.00645054i
\(486\) 12.4660 18.1824i 0.565468 0.824770i
\(487\) −14.1819 + 5.87434i −0.642644 + 0.266192i −0.680114 0.733106i \(-0.738070\pi\)
0.0374708 + 0.999298i \(0.488070\pi\)
\(488\) −2.82230 1.19498i −0.127760 0.0540943i
\(489\) −35.3521 7.10069i −1.59868 0.321104i
\(490\) 5.93698 14.2281i 0.268206 0.642760i
\(491\) 0.00640918 + 0.0322211i 0.000289242 + 0.00145412i 0.980930 0.194363i \(-0.0622640\pi\)
−0.980640 + 0.195817i \(0.937264\pi\)
\(492\) −4.07963 0.0288985i −0.183924 0.00130284i
\(493\) −11.7092 17.5241i −0.527357 0.789245i
\(494\) 9.06896 6.02554i 0.408032 0.271102i
\(495\) −10.6769 + 25.5063i −0.479892 + 1.14642i
\(496\) 19.8786 19.4683i 0.892577 0.874150i
\(497\) −2.79218 2.79218i −0.125246 0.125246i
\(498\) −7.42776 0.0332482i −0.332846 0.00148989i
\(499\) 5.40096 + 8.08311i 0.241780 + 0.361850i 0.932437 0.361333i \(-0.117678\pi\)
−0.690656 + 0.723183i \(0.742678\pi\)
\(500\) 4.59843 + 23.7648i 0.205648 + 1.06280i
\(501\) −18.7165 + 7.71168i −0.836192 + 0.344532i
\(502\) 4.11443 + 10.0068i 0.183636 + 0.446627i
\(503\) 8.11650 + 3.36197i 0.361897 + 0.149903i 0.556220 0.831035i \(-0.312251\pi\)
−0.194323 + 0.980938i \(0.562251\pi\)
\(504\) −6.64203 + 1.24154i −0.295859 + 0.0553027i
\(505\) 3.66617 1.51858i 0.163142 0.0675758i
\(506\) 40.7890 40.5768i 1.81329 1.80386i
\(507\) 7.63117 + 3.17766i 0.338912 + 0.141125i
\(508\) 37.5473 15.3237i 1.66589 0.679880i
\(509\) 26.0046 + 5.17263i 1.15263 + 0.229273i 0.734173 0.678962i \(-0.237570\pi\)
0.418460 + 0.908235i \(0.362570\pi\)
\(510\) 19.7271 + 8.27489i 0.873532 + 0.366418i
\(511\) 0.550472i 0.0243514i
\(512\) 13.0091 18.5139i 0.574926 0.818205i
\(513\) −7.68359 11.6401i −0.339239 0.513921i
\(514\) 1.90282 2.83176i 0.0839297 0.124903i
\(515\) −6.02983 + 30.3140i −0.265706 + 1.33579i
\(516\) 5.44410 3.58212i 0.239663 0.157694i
\(517\) −31.2129 20.8558i −1.37274 0.917235i
\(518\) 3.59323 + 3.61202i 0.157878 + 0.158703i
\(519\) 11.7955 + 17.7248i 0.517763 + 0.778031i
\(520\) −13.6048 2.81696i −0.596610 0.123532i
\(521\) 1.81662 4.38572i 0.0795877 0.192142i −0.879077 0.476680i \(-0.841840\pi\)
0.958665 + 0.284538i \(0.0918402\pi\)
\(522\) 12.4766 12.3192i 0.546085 0.539199i
\(523\) −4.42990 22.2706i −0.193706 0.973826i −0.948237 0.317562i \(-0.897136\pi\)
0.754531 0.656264i \(-0.227864\pi\)
\(524\) 2.50808 0.485306i 0.109566 0.0212007i
\(525\) −2.01251 2.02004i −0.0878331 0.0881620i
\(526\) −23.5480 4.74786i −1.02674 0.207016i
\(527\) 25.0840 25.0840i 1.09268 1.09268i
\(528\) 30.7473 + 21.0962i 1.33810 + 0.918094i
\(529\) −24.1381 24.1381i −1.04948 1.04948i
\(530\) −12.9535 19.4962i −0.562665 0.846860i
\(531\) −6.23813 4.20200i −0.270712 0.182351i
\(532\) −0.855855 + 4.18841i −0.0371060 + 0.181590i
\(533\) 3.31320 0.659036i 0.143511 0.0285460i
\(534\) 7.75033 38.0721i 0.335390 1.64754i
\(535\) 15.1423 + 6.27214i 0.654658 + 0.271168i
\(536\) −15.5942 + 36.8302i −0.673567 + 1.59082i
\(537\) 7.50162 + 11.2725i 0.323719 + 0.486445i
\(538\) −0.0660030 + 25.3147i −0.00284559 + 1.09139i
\(539\) 19.0350 28.4879i 0.819895 1.22706i
\(540\) −3.66066 + 17.4163i −0.157530 + 0.749476i
\(541\) −1.34295 0.267129i −0.0577379 0.0114848i 0.166137 0.986103i \(-0.446871\pi\)
−0.223875 + 0.974618i \(0.571871\pi\)
\(542\) 7.97626 + 40.6531i 0.342610 + 1.74620i
\(543\) −4.36423 22.1568i −0.187287 0.950838i
\(544\) 16.3389 23.7759i 0.700524 1.01938i
\(545\) 11.8055 0.505691
\(546\) 5.17863 2.11795i 0.221625 0.0906400i
\(547\) −5.22689 + 26.2774i −0.223486 + 1.12354i 0.692219 + 0.721687i \(0.256633\pi\)
−0.915705 + 0.401851i \(0.868367\pi\)
\(548\) −18.0538 0.0941439i −0.771220 0.00402163i
\(549\) 0.646107 3.18592i 0.0275752 0.135972i
\(550\) −0.0410274 + 15.7356i −0.00174942 + 0.670968i
\(551\) −4.24507 10.2485i −0.180846 0.436601i
\(552\) 20.8706 30.5891i 0.888311 1.30196i
\(553\) 1.13042 2.72908i 0.0480704 0.116052i
\(554\) −13.9097 + 33.3349i −0.590966 + 1.41626i
\(555\) 12.4071 5.11205i 0.526652 0.216994i
\(556\) 8.70443 5.75069i 0.369150 0.243883i
\(557\) −6.81107 + 4.55101i −0.288594 + 0.192833i −0.691437 0.722437i \(-0.743022\pi\)
0.402843 + 0.915269i \(0.368022\pi\)
\(558\) 24.4336 + 16.5512i 1.03436 + 0.700669i
\(559\) −3.81563 + 3.81563i −0.161384 + 0.161384i
\(560\) 4.56690 2.98308i 0.192987 0.126058i
\(561\) 39.4796 + 26.4863i 1.66683 + 1.11825i
\(562\) −42.2014 8.50883i −1.78016 0.358923i
\(563\) −1.37594 + 0.919371i −0.0579888 + 0.0387469i −0.584227 0.811590i \(-0.698602\pi\)
0.526238 + 0.850337i \(0.323602\pi\)
\(564\) −22.2561 9.40403i −0.937152 0.395981i
\(565\) −26.0853 + 5.18868i −1.09741 + 0.218289i
\(566\) 6.42759 + 15.6327i 0.270172 + 0.657093i
\(567\) −2.69310 6.64172i −0.113100 0.278926i
\(568\) 2.62851 + 13.7767i 0.110290 + 0.578060i
\(569\) −8.37450 20.2178i −0.351077 0.847575i −0.996488 0.0837394i \(-0.973314\pi\)
0.645410 0.763836i \(-0.276686\pi\)
\(570\) 9.33376 + 6.29723i 0.390948 + 0.263762i
\(571\) −12.6472 + 18.9278i −0.529267 + 0.792104i −0.995718 0.0924431i \(-0.970532\pi\)
0.466451 + 0.884547i \(0.345532\pi\)
\(572\) −28.4635 11.9643i −1.19012 0.500251i
\(573\) −0.0375751 + 20.1055i −0.00156972 + 0.839920i
\(574\) −0.739737 + 1.10087i −0.0308760 + 0.0459494i
\(575\) 15.6268 0.651683
\(576\) 21.9909 + 9.61240i 0.916289 + 0.400517i
\(577\) 3.02364 0.125876 0.0629378 0.998017i \(-0.479953\pi\)
0.0629378 + 0.998017i \(0.479953\pi\)
\(578\) 7.10509 10.5737i 0.295533 0.439809i
\(579\) −0.0766645 + 41.0214i −0.00318607 + 1.70479i
\(580\) −5.48483 + 13.0487i −0.227745 + 0.541817i
\(581\) −1.34158 + 2.00782i −0.0556582 + 0.0832984i
\(582\) 0.303190 + 0.204554i 0.0125676 + 0.00847903i
\(583\) −19.9067 48.0590i −0.824452 1.99040i
\(584\) −1.09893 + 1.61713i −0.0454739 + 0.0669174i
\(585\) 0.0550803 14.7360i 0.00227729 0.609260i
\(586\) 4.57473 + 11.1263i 0.188981 + 0.459625i
\(587\) −20.2802 + 4.03398i −0.837054 + 0.166500i −0.594963 0.803753i \(-0.702833\pi\)
−0.242091 + 0.970254i \(0.577833\pi\)
\(588\) 8.58303 20.3131i 0.353958 0.837698i
\(589\) 15.5244 10.3731i 0.639672 0.427415i
\(590\) 5.95208 + 1.20008i 0.245043 + 0.0494066i
\(591\) −15.3825 10.3199i −0.632753 0.424505i
\(592\) −3.34511 17.7844i −0.137483 0.730934i
\(593\) 25.5322 25.5322i 1.04848 1.04848i 0.0497164 0.998763i \(-0.484168\pi\)
0.998763 0.0497164i \(-0.0158318\pi\)
\(594\) −15.4350 + 36.4145i −0.633305 + 1.49410i
\(595\) 5.78258 3.86380i 0.237063 0.158400i
\(596\) 18.7169 + 28.3306i 0.766675 + 1.16046i
\(597\) −0.201383 + 0.0829749i −0.00824205 + 0.00339594i
\(598\) −11.8077 + 28.2975i −0.482855 + 1.15717i
\(599\) −2.81924 + 6.80624i −0.115191 + 0.278095i −0.970951 0.239277i \(-0.923090\pi\)
0.855761 + 0.517372i \(0.173090\pi\)
\(600\) 1.87950 + 9.95197i 0.0767303 + 0.406287i
\(601\) −2.76305 6.67058i −0.112707 0.272099i 0.857454 0.514561i \(-0.172045\pi\)
−0.970161 + 0.242462i \(0.922045\pi\)
\(602\) 0.00552391 2.11863i 0.000225138 0.0863489i
\(603\) −41.5753 8.43152i −1.69308 0.343358i
\(604\) 0.0672883 12.9037i 0.00273792 0.525046i
\(605\) 6.00284 30.1783i 0.244050 1.22692i
\(606\) 5.25361 2.14862i 0.213413 0.0872815i
\(607\) −12.5060 −0.507603 −0.253802 0.967256i \(-0.581681\pi\)
−0.253802 + 0.967256i \(0.581681\pi\)
\(608\) 10.8757 10.5958i 0.441069 0.429716i
\(609\) −1.10160 5.59272i −0.0446391 0.226628i
\(610\) 0.505260 + 2.57519i 0.0204574 + 0.104266i
\(611\) 19.6217 + 3.90300i 0.793809 + 0.157898i
\(612\) 28.1636 + 11.9623i 1.13845 + 0.483546i
\(613\) −21.1070 + 31.5888i −0.852503 + 1.27586i 0.107027 + 0.994256i \(0.465867\pi\)
−0.959530 + 0.281605i \(0.909133\pi\)
\(614\) 0.0403398 15.4719i 0.00162798 0.624393i
\(615\) 1.93533 + 2.90817i 0.0780399 + 0.117269i
\(616\) 11.2357 4.55135i 0.452699 0.183379i
\(617\) −1.55951 0.645969i −0.0627834 0.0260057i 0.351071 0.936349i \(-0.385818\pi\)
−0.413854 + 0.910343i \(0.635818\pi\)
\(618\) −8.81882 + 43.3209i −0.354745 + 1.74262i
\(619\) −12.4267 + 2.47182i −0.499469 + 0.0993507i −0.438395 0.898783i \(-0.644453\pi\)
−0.0610747 + 0.998133i \(0.519453\pi\)
\(620\) −23.3419 4.76966i −0.937434 0.191554i
\(621\) 36.2024 + 15.2339i 1.45275 + 0.611315i
\(622\) 9.37808 + 14.1148i 0.376027 + 0.565952i
\(623\) −8.93152 8.93152i −0.357834 0.357834i
\(624\) −19.4415 4.11633i −0.778283 0.164785i
\(625\) 7.34638 7.34638i 0.293855 0.293855i
\(626\) 30.3056 + 6.11034i 1.21125 + 0.244218i
\(627\) 17.6603 + 17.7265i 0.705285 + 0.707926i
\(628\) −5.08763 26.2930i −0.203018 1.04921i
\(629\) −4.50109 22.6285i −0.179470 0.902258i
\(630\) 4.06509 + 4.11701i 0.161957 + 0.164026i
\(631\) −0.496224 + 1.19799i −0.0197544 + 0.0476912i −0.933449 0.358710i \(-0.883217\pi\)
0.913695 + 0.406402i \(0.133217\pi\)
\(632\) −8.76902 + 5.76057i −0.348813 + 0.229143i
\(633\) 13.8395 + 20.7963i 0.550072 + 0.826580i
\(634\) 0.382765 + 0.384767i 0.0152016 + 0.0152810i
\(635\) −28.8722 19.2918i −1.14576 0.765570i
\(636\) −18.4032 27.9692i −0.729734 1.10905i
\(637\) −3.56226 + 17.9087i −0.141142 + 0.709567i
\(638\) −17.5443 + 26.1093i −0.694586 + 1.03368i
\(639\) −13.7648 + 5.64140i −0.544529 + 0.223170i
\(640\) −19.3715 0.353590i −0.765725 0.0139769i
\(641\) 36.7026i 1.44967i −0.688925 0.724833i \(-0.741917\pi\)
0.688925 0.724833i \(-0.258083\pi\)
\(642\) 21.6185 + 9.06827i 0.853216 + 0.357896i
\(643\) 24.2814 + 4.82988i 0.957566 + 0.190472i 0.649049 0.760747i \(-0.275167\pi\)
0.308518 + 0.951219i \(0.400167\pi\)
\(644\) −4.54894 11.1462i −0.179253 0.439220i
\(645\) −5.15132 2.14504i −0.202833 0.0844607i
\(646\) 13.7244 13.6530i 0.539978 0.537169i
\(647\) −30.2121 + 12.5143i −1.18776 + 0.491987i −0.887026 0.461720i \(-0.847232\pi\)
−0.300736 + 0.953707i \(0.597232\pi\)
\(648\) −5.34752 + 24.8878i −0.210070 + 0.977686i
\(649\) 12.4666 + 5.16383i 0.489357 + 0.202698i
\(650\) −3.18901 7.75609i −0.125083 0.304219i
\(651\) 8.87079 3.65499i 0.347674 0.143250i
\(652\) 40.8782 7.90981i 1.60091 0.309772i
\(653\) −20.6065 30.8399i −0.806396 1.20686i −0.975226 0.221212i \(-0.928999\pi\)
0.168830 0.985645i \(-0.446001\pi\)
\(654\) 16.8859 + 0.0755849i 0.660291 + 0.00295560i
\(655\) −1.54671 1.54671i −0.0604349 0.0604349i
\(656\) 4.37084 1.75729i 0.170653 0.0686105i
\(657\) −1.91295 0.800760i −0.0746313 0.0312406i
\(658\) −6.54242 + 4.34687i −0.255050 + 0.169459i
\(659\) 9.69701 + 14.5126i 0.377742 + 0.565330i 0.970818 0.239815i \(-0.0770869\pi\)
−0.593077 + 0.805146i \(0.702087\pi\)
\(660\) 0.226162 31.9276i 0.00880336 1.24278i
\(661\) −6.05894 30.4603i −0.235665 1.18477i −0.899510 0.436900i \(-0.856076\pi\)
0.663845 0.747870i \(-0.268924\pi\)
\(662\) −3.82869 + 9.17554i −0.148806 + 0.356617i
\(663\) −24.8403 4.98933i −0.964719 0.193769i
\(664\) 7.94947 3.22016i 0.308499 0.124967i
\(665\) 3.38179 1.40079i 0.131140 0.0543201i
\(666\) 17.7792 7.23256i 0.688929 0.280256i
\(667\) 25.9740 + 17.3553i 1.00572 + 0.671999i
\(668\) 16.6143 16.4419i 0.642826 0.636156i
\(669\) 0.0500421 26.7764i 0.00193474 1.03523i
\(670\) 33.6055 6.59350i 1.29829 0.254729i
\(671\) 5.83206i 0.225144i
\(672\) 6.55134 4.23760i 0.252723 0.163469i
\(673\) 1.42269i 0.0548405i 0.999624 + 0.0274203i \(0.00872923\pi\)
−0.999624 + 0.0274203i \(0.991271\pi\)
\(674\) 6.67525 + 34.0221i 0.257121 + 1.31048i
\(675\) −9.94744 + 4.05517i −0.382877 + 0.156084i
\(676\) −9.54501 0.0497738i −0.367116 0.00191438i
\(677\) 30.5664 + 20.4238i 1.17476 + 0.784951i 0.980600 0.196019i \(-0.0628014\pi\)
0.194161 + 0.980970i \(0.437801\pi\)
\(678\) −37.3441 + 7.25459i −1.43419 + 0.278611i
\(679\) 0.109851 0.0455019i 0.00421570 0.00174620i
\(680\) −24.7010 0.193213i −0.947241 0.00740936i
\(681\) 2.91283 14.5021i 0.111620 0.555722i
\(682\) −48.8624 20.3889i −1.87104 0.780731i
\(683\) 0.0811176 + 0.407806i 0.00310388 + 0.0156043i 0.982306 0.187282i \(-0.0599678\pi\)
−0.979202 + 0.202886i \(0.934968\pi\)
\(684\) 13.3102 + 9.06698i 0.508928 + 0.346685i
\(685\) 8.58843 + 12.8535i 0.328147 + 0.491106i
\(686\) −8.32997 12.5373i −0.318040 0.478677i
\(687\) −3.01087 2.01995i −0.114872 0.0770659i
\(688\) −4.24572 + 6.21291i −0.161867 + 0.236865i
\(689\) 19.6029 + 19.6029i 0.746811 + 0.746811i
\(690\) −31.7072 0.141928i −1.20707 0.00540312i
\(691\) −6.46900 9.68155i −0.246093 0.368303i 0.687774 0.725925i \(-0.258588\pi\)
−0.933867 + 0.357621i \(0.883588\pi\)
\(692\) −20.3698 13.7649i −0.774344 0.523262i
\(693\) 7.10345 + 10.7176i 0.269838 + 0.407127i
\(694\) 23.9371 9.84204i 0.908640 0.373599i
\(695\) −8.25287 3.41845i −0.313049 0.129669i
\(696\) −7.92875 + 18.6290i −0.300538 + 0.706131i
\(697\) 5.54894 2.29844i 0.210181 0.0870598i
\(698\) 13.5516 + 13.6224i 0.512934 + 0.515616i
\(699\) 6.73654 16.1779i 0.254799 0.611903i
\(700\) 3.03533 + 1.27586i 0.114725 + 0.0482229i
\(701\) −37.1691 7.39339i −1.40386 0.279244i −0.565672 0.824631i \(-0.691383\pi\)
−0.838185 + 0.545386i \(0.816383\pi\)
\(702\) 0.173132 21.0773i 0.00653444 0.795510i
\(703\) 12.1434i 0.457995i
\(704\) −42.0934 9.05964i −1.58645 0.341448i
\(705\) 3.99813 + 20.2981i 0.150578 + 0.764472i
\(706\) 15.4984 + 10.4142i 0.583290 + 0.391945i
\(707\) 0.359993 1.80981i 0.0135389 0.0680648i
\(708\) 8.50584 + 1.75464i 0.319669 + 0.0659435i
\(709\) 38.1803 + 25.5113i 1.43389 + 0.958096i 0.998320 + 0.0579428i \(0.0184541\pi\)
0.435573 + 0.900154i \(0.356546\pi\)
\(710\) 8.51384 8.46956i 0.319519 0.317857i
\(711\) −7.83946 7.89828i −0.294003 0.296209i
\(712\) 8.40800 + 44.0686i 0.315103 + 1.65154i
\(713\) −20.1213 + 48.5770i −0.753547 + 1.81922i
\(714\) 8.29582 5.48954i 0.310463 0.205441i
\(715\) 5.15768 + 25.9294i 0.192886 + 0.969706i
\(716\) −12.9547 8.75411i −0.484140 0.327156i
\(717\) −14.0901 + 14.0375i −0.526205 + 0.524242i
\(718\) 6.95277 34.4838i 0.259475 1.28692i
\(719\) 15.3249 15.3249i 0.571523 0.571523i −0.361031 0.932554i \(-0.617575\pi\)
0.932554 + 0.361031i \(0.117575\pi\)
\(720\) −3.72317 20.2099i −0.138755 0.753178i
\(721\) 10.1629 + 10.1629i 0.378484 + 0.378484i
\(722\) −13.8939 + 9.23127i −0.517076 + 0.343552i
\(723\) 35.7076 + 35.8414i 1.32798 + 1.33295i
\(724\) 14.3738 + 21.7567i 0.534198 + 0.808580i
\(725\) −8.37960 + 1.66681i −0.311210 + 0.0619036i
\(726\) 8.77935 43.1270i 0.325832 1.60059i
\(727\) −5.58340 2.31272i −0.207077 0.0857740i 0.276734 0.960946i \(-0.410748\pi\)
−0.483811 + 0.875172i \(0.660748\pi\)
\(728\) −4.60389 + 4.53242i −0.170631 + 0.167983i
\(729\) −26.9983 0.302754i −0.999937 0.0112131i
\(730\) 1.67412 + 0.00436494i 0.0619620 + 0.000161554i
\(731\) −5.33018 + 7.97717i −0.197144 + 0.295046i
\(732\) 0.706208 + 3.68664i 0.0261022 + 0.136262i
\(733\) −16.4103 3.26422i −0.606130 0.120567i −0.117522 0.993070i \(-0.537495\pi\)
−0.488608 + 0.872504i \(0.662495\pi\)
\(734\) 11.8683 2.32860i 0.438066 0.0859500i
\(735\) −18.5260 + 3.64908i −0.683344 + 0.134598i
\(736\) −8.88794 + 41.8255i −0.327614 + 1.54171i
\(737\) 76.1068 2.80343
\(738\) 2.74957 + 4.17208i 0.101213 + 0.153576i
\(739\) 4.06626 20.4425i 0.149580 0.751988i −0.831062 0.556179i \(-0.812267\pi\)
0.980642 0.195809i \(-0.0627332\pi\)
\(740\) −11.0135 + 10.8993i −0.404866 + 0.400665i
\(741\) −12.3106 5.12621i −0.452243 0.188316i
\(742\) −10.8845 0.0283792i −0.399583 0.00104183i
\(743\) 11.3675 + 27.4437i 0.417035 + 1.00681i 0.983202 + 0.182521i \(0.0584257\pi\)
−0.566167 + 0.824290i \(0.691574\pi\)
\(744\) −33.3565 6.97171i −1.22291 0.255595i
\(745\) 11.1261 26.8608i 0.407630 0.984105i
\(746\) 35.6831 + 14.8895i 1.30645 + 0.545145i
\(747\) 5.02582 + 7.58288i 0.183885 + 0.277443i
\(748\) −53.7845 10.9903i −1.96655 0.401844i
\(749\) 6.33700 4.23425i 0.231549 0.154716i
\(750\) 21.0563 20.8687i 0.768868 0.762016i
\(751\) 9.88591 9.88591i 0.360742 0.360742i −0.503344 0.864086i \(-0.667897\pi\)
0.864086 + 0.503344i \(0.167897\pi\)
\(752\) 27.8976 + 0.290960i 1.01732 + 0.0106102i
\(753\) 7.38262 11.0043i 0.269038 0.401019i
\(754\) 3.31339 16.4335i 0.120667 0.598473i
\(755\) −9.18688 + 6.13848i −0.334345 + 0.223402i
\(756\) 5.78813 + 5.91477i 0.210512 + 0.215118i
\(757\) −2.43551 + 0.484453i −0.0885202 + 0.0176078i −0.239152 0.970982i \(-0.576869\pi\)
0.150631 + 0.988590i \(0.451869\pi\)
\(758\) 12.8664 5.29019i 0.467329 0.192148i
\(759\) −69.0853 13.8762i −2.50764 0.503674i
\(760\) −12.7312 2.63608i −0.461809 0.0956206i
\(761\) −14.2896 34.4982i −0.517999 1.25056i −0.939131 0.343560i \(-0.888367\pi\)
0.421132 0.906999i \(-0.361633\pi\)
\(762\) −41.1737 27.7787i −1.49156 1.00632i
\(763\) 3.04989 4.56448i 0.110413 0.165245i
\(764\) −8.77237 21.4947i −0.317373 0.777652i
\(765\) −5.01532 25.7157i −0.181329 0.929753i
\(766\) −10.7166 7.20108i −0.387206 0.260186i
\(767\) −7.19131 −0.259663
\(768\) −27.7057 0.629782i −0.999742 0.0227253i
\(769\) 8.19388 0.295479 0.147739 0.989026i \(-0.452800\pi\)
0.147739 + 0.989026i \(0.452800\pi\)
\(770\) −8.61552 5.78925i −0.310482 0.208630i
\(771\) −4.17843 0.00780903i −0.150482 0.000281235i
\(772\) −17.8983 43.8558i −0.644174 1.57840i
\(773\) −11.9974 + 17.9553i −0.431515 + 0.645808i −0.981966