Properties

Label 135.2.q.a.32.1
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.1
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.213925 + 2.44518i) q^{2} +(0.617760 + 1.61814i) q^{3} +(-3.96351 - 0.698873i) q^{4} +(0.495272 + 2.18053i) q^{5} +(-4.08879 + 1.16437i) q^{6} +(2.71258 - 3.87397i) q^{7} +(1.28621 - 4.80021i) q^{8} +(-2.23674 + 1.99924i) q^{9} +O(q^{10})\) \(q+(-0.213925 + 2.44518i) q^{2} +(0.617760 + 1.61814i) q^{3} +(-3.96351 - 0.698873i) q^{4} +(0.495272 + 2.18053i) q^{5} +(-4.08879 + 1.16437i) q^{6} +(2.71258 - 3.87397i) q^{7} +(1.28621 - 4.80021i) q^{8} +(-2.23674 + 1.99924i) q^{9} +(-5.43773 + 0.744558i) q^{10} +(0.927704 - 2.54885i) q^{11} +(-1.31762 - 6.84524i) q^{12} +(1.01214 - 0.0885504i) q^{13} +(8.89224 + 7.46148i) q^{14} +(-3.22244 + 2.14846i) q^{15} +(3.89833 + 1.41887i) q^{16} +(-0.309013 - 1.15325i) q^{17} +(-4.41001 - 5.89692i) q^{18} +(-0.507294 + 0.292886i) q^{19} +(-0.439102 - 8.98867i) q^{20} +(7.94434 + 1.99615i) q^{21} +(6.03392 + 2.81366i) q^{22} +(-1.07190 + 0.750556i) q^{23} +(8.56197 - 0.884108i) q^{24} +(-4.50941 + 2.15991i) q^{25} +2.49379i q^{26} +(-4.61682 - 2.38431i) q^{27} +(-13.4587 + 13.4587i) q^{28} +(0.185521 - 0.155671i) q^{29} +(-4.56401 - 8.33904i) q^{30} +(-0.978463 + 5.54914i) q^{31} +(-0.102914 + 0.220700i) q^{32} +(4.69748 - 0.0734218i) q^{33} +(2.88601 - 0.508881i) q^{34} +(9.79076 + 3.99619i) q^{35} +(10.2626 - 6.36081i) q^{36} +(0.850028 - 0.227764i) q^{37} +(-0.607636 - 1.30308i) q^{38} +(0.768544 + 1.58307i) q^{39} +(11.1040 + 0.427212i) q^{40} +(-2.80103 + 3.33813i) q^{41} +(-6.58043 + 18.9983i) q^{42} +(10.0151 - 4.67013i) q^{43} +(-5.45828 + 9.45402i) q^{44} +(-5.46720 - 3.88712i) q^{45} +(-1.60593 - 2.78156i) q^{46} +(5.39198 + 3.77551i) q^{47} +(0.112295 + 7.18456i) q^{48} +(-5.25539 - 14.4391i) q^{49} +(-4.31669 - 11.4884i) q^{50} +(1.67522 - 1.21246i) q^{51} +(-4.07349 - 0.356385i) q^{52} +(-6.73617 - 6.73617i) q^{53} +(6.81771 - 10.7789i) q^{54} +(6.01730 + 0.760513i) q^{55} +(-15.1069 - 18.0037i) q^{56} +(-0.787317 - 0.639939i) q^{57} +(0.340954 + 0.486933i) q^{58} +(-11.1903 + 4.07292i) q^{59} +(14.2737 - 6.26337i) q^{60} +(-1.40842 - 7.98754i) q^{61} +(-13.3593 - 3.57962i) q^{62} +(1.67765 + 14.0882i) q^{63} +(6.66780 + 3.84966i) q^{64} +(0.694370 + 2.16314i) q^{65} +(-0.825381 + 11.5019i) q^{66} +(-0.680090 - 7.77347i) q^{67} +(0.418798 + 4.78688i) q^{68} +(-1.87668 - 1.27083i) q^{69} +(-11.8659 + 23.0853i) q^{70} +(1.13442 + 0.654959i) q^{71} +(6.71985 + 13.3083i) q^{72} +(2.11661 + 0.567144i) q^{73} +(0.375082 + 2.12719i) q^{74} +(-6.28077 - 5.96254i) q^{75} +(2.21535 - 0.806323i) q^{76} +(-7.35767 - 10.5078i) q^{77} +(-4.03531 + 1.54057i) q^{78} +(-2.17780 - 2.59540i) q^{79} +(-1.16316 + 9.20314i) q^{80} +(1.00605 - 8.94359i) q^{81} +(-7.56311 - 7.56311i) q^{82} +(9.59300 + 0.839279i) q^{83} +(-30.0924 - 13.4638i) q^{84} +(2.36165 - 1.24498i) q^{85} +(9.27680 + 25.4878i) q^{86} +(0.366504 + 0.204032i) q^{87} +(-11.0418 - 7.73153i) q^{88} +(1.54112 + 2.66930i) q^{89} +(10.6743 - 12.5367i) q^{90} +(2.40246 - 4.16118i) q^{91} +(4.77305 - 2.22571i) q^{92} +(-9.58374 + 1.84475i) q^{93} +(-10.3853 + 12.3767i) q^{94} +(-0.889896 - 0.961111i) q^{95} +(-0.420699 - 0.0301896i) q^{96} +(-1.41865 - 3.04230i) q^{97} +(36.4303 - 9.76147i) q^{98} +(3.02073 + 7.55582i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.213925 + 2.44518i −0.151268 + 1.72900i 0.419384 + 0.907809i \(0.362246\pi\)
−0.570652 + 0.821192i \(0.693310\pi\)
\(3\) 0.617760 + 1.61814i 0.356664 + 0.934233i
\(4\) −3.96351 0.698873i −1.98175 0.349437i
\(5\) 0.495272 + 2.18053i 0.221492 + 0.975162i
\(6\) −4.08879 + 1.16437i −1.66924 + 0.475353i
\(7\) 2.71258 3.87397i 1.02526 1.46422i 0.145174 0.989406i \(-0.453626\pi\)
0.880085 0.474816i \(-0.157485\pi\)
\(8\) 1.28621 4.80021i 0.454744 1.69713i
\(9\) −2.23674 + 1.99924i −0.745582 + 0.666414i
\(10\) −5.43773 + 0.744558i −1.71956 + 0.235450i
\(11\) 0.927704 2.54885i 0.279713 0.768506i −0.717682 0.696371i \(-0.754797\pi\)
0.997395 0.0721346i \(-0.0229811\pi\)
\(12\) −1.31762 6.84524i −0.380365 1.97605i
\(13\) 1.01214 0.0885504i 0.280716 0.0245595i 0.0540717 0.998537i \(-0.482780\pi\)
0.226644 + 0.973978i \(0.427224\pi\)
\(14\) 8.89224 + 7.46148i 2.37655 + 1.99416i
\(15\) −3.22244 + 2.14846i −0.832030 + 0.554731i
\(16\) 3.89833 + 1.41887i 0.974582 + 0.354719i
\(17\) −0.309013 1.15325i −0.0749466 0.279704i 0.918275 0.395944i \(-0.129583\pi\)
−0.993221 + 0.116240i \(0.962916\pi\)
\(18\) −4.41001 5.89692i −1.03945 1.38992i
\(19\) −0.507294 + 0.292886i −0.116381 + 0.0671927i −0.557061 0.830472i \(-0.688071\pi\)
0.440679 + 0.897665i \(0.354738\pi\)
\(20\) −0.439102 8.98867i −0.0981861 2.00993i
\(21\) 7.94434 + 1.99615i 1.73360 + 0.435596i
\(22\) 6.03392 + 2.81366i 1.28644 + 0.599875i
\(23\) −1.07190 + 0.750556i −0.223508 + 0.156502i −0.679967 0.733242i \(-0.738006\pi\)
0.456460 + 0.889744i \(0.349117\pi\)
\(24\) 8.56197 0.884108i 1.74770 0.180468i
\(25\) −4.50941 + 2.15991i −0.901882 + 0.431982i
\(26\) 2.49379i 0.489073i
\(27\) −4.61682 2.38431i −0.888508 0.458861i
\(28\) −13.4587 + 13.4587i −2.54346 + 2.54346i
\(29\) 0.185521 0.155671i 0.0344504 0.0289073i −0.625400 0.780304i \(-0.715064\pi\)
0.659850 + 0.751397i \(0.270620\pi\)
\(30\) −4.56401 8.33904i −0.833270 1.52249i
\(31\) −0.978463 + 5.54914i −0.175737 + 0.996655i 0.761552 + 0.648103i \(0.224438\pi\)
−0.937290 + 0.348552i \(0.886674\pi\)
\(32\) −0.102914 + 0.220700i −0.0181928 + 0.0390146i
\(33\) 4.69748 0.0734218i 0.817727 0.0127811i
\(34\) 2.88601 0.508881i 0.494946 0.0872724i
\(35\) 9.79076 + 3.99619i 1.65494 + 0.675480i
\(36\) 10.2626 6.36081i 1.71043 1.06014i
\(37\) 0.850028 0.227764i 0.139744 0.0374442i −0.188269 0.982117i \(-0.560288\pi\)
0.328013 + 0.944673i \(0.393621\pi\)
\(38\) −0.607636 1.30308i −0.0985715 0.211387i
\(39\) 0.768544 + 1.58307i 0.123066 + 0.253495i
\(40\) 11.1040 + 0.427212i 1.75570 + 0.0675482i
\(41\) −2.80103 + 3.33813i −0.437447 + 0.521329i −0.939055 0.343766i \(-0.888297\pi\)
0.501609 + 0.865095i \(0.332742\pi\)
\(42\) −6.58043 + 18.9983i −1.01538 + 2.93150i
\(43\) 10.0151 4.67013i 1.52729 0.712188i 0.536043 0.844191i \(-0.319918\pi\)
0.991249 + 0.132002i \(0.0421407\pi\)
\(44\) −5.45828 + 9.45402i −0.822867 + 1.42525i
\(45\) −5.46720 3.88712i −0.815003 0.579457i
\(46\) −1.60593 2.78156i −0.236782 0.410118i
\(47\) 5.39198 + 3.77551i 0.786501 + 0.550714i 0.896409 0.443228i \(-0.146167\pi\)
−0.109908 + 0.993942i \(0.535056\pi\)
\(48\) 0.112295 + 7.18456i 0.0162084 + 1.03700i
\(49\) −5.25539 14.4391i −0.750770 2.06272i
\(50\) −4.31669 11.4884i −0.610471 1.62470i
\(51\) 1.67522 1.21246i 0.234578 0.169778i
\(52\) −4.07349 0.356385i −0.564892 0.0494217i
\(53\) −6.73617 6.73617i −0.925284 0.925284i 0.0721125 0.997397i \(-0.477026\pi\)
−0.997397 + 0.0721125i \(0.977026\pi\)
\(54\) 6.81771 10.7789i 0.927773 1.46682i
\(55\) 6.01730 + 0.760513i 0.811372 + 0.102548i
\(56\) −15.1069 18.0037i −2.01874 2.40584i
\(57\) −0.787317 0.639939i −0.104283 0.0847619i
\(58\) 0.340954 + 0.486933i 0.0447695 + 0.0639375i
\(59\) −11.1903 + 4.07292i −1.45685 + 0.530250i −0.944495 0.328525i \(-0.893449\pi\)
−0.512354 + 0.858775i \(0.671226\pi\)
\(60\) 14.2737 6.26337i 1.84272 0.808598i
\(61\) −1.40842 7.98754i −0.180330 1.02270i −0.931811 0.362945i \(-0.881771\pi\)
0.751481 0.659755i \(-0.229340\pi\)
\(62\) −13.3593 3.57962i −1.69663 0.454612i
\(63\) 1.67765 + 14.0882i 0.211364 + 1.77494i
\(64\) 6.66780 + 3.84966i 0.833475 + 0.481207i
\(65\) 0.694370 + 2.16314i 0.0861260 + 0.268304i
\(66\) −0.825381 + 11.5019i −0.101597 + 1.41578i
\(67\) −0.680090 7.77347i −0.0830863 0.949680i −0.917289 0.398222i \(-0.869627\pi\)
0.834203 0.551458i \(-0.185928\pi\)
\(68\) 0.418798 + 4.78688i 0.0507867 + 0.580494i
\(69\) −1.87668 1.27083i −0.225926 0.152990i
\(70\) −11.8659 + 23.0853i −1.41824 + 2.75922i
\(71\) 1.13442 + 0.654959i 0.134631 + 0.0777293i 0.565803 0.824541i \(-0.308566\pi\)
−0.431172 + 0.902270i \(0.641900\pi\)
\(72\) 6.71985 + 13.3083i 0.791942 + 1.56840i
\(73\) 2.11661 + 0.567144i 0.247730 + 0.0663792i 0.380547 0.924761i \(-0.375736\pi\)
−0.132817 + 0.991141i \(0.542402\pi\)
\(74\) 0.375082 + 2.12719i 0.0436024 + 0.247281i
\(75\) −6.28077 5.96254i −0.725241 0.688495i
\(76\) 2.21535 0.806323i 0.254119 0.0924916i
\(77\) −7.35767 10.5078i −0.838485 1.19748i
\(78\) −4.03531 + 1.54057i −0.456908 + 0.174435i
\(79\) −2.17780 2.59540i −0.245022 0.292006i 0.629491 0.777008i \(-0.283263\pi\)
−0.874513 + 0.485002i \(0.838819\pi\)
\(80\) −1.16316 + 9.20314i −0.130046 + 1.02894i
\(81\) 1.00605 8.94359i 0.111784 0.993733i
\(82\) −7.56311 7.56311i −0.835206 0.835206i
\(83\) 9.59300 + 0.839279i 1.05297 + 0.0921228i 0.600474 0.799644i \(-0.294979\pi\)
0.452495 + 0.891767i \(0.350534\pi\)
\(84\) −30.0924 13.4638i −3.28335 1.46903i
\(85\) 2.36165 1.24498i 0.256157 0.135037i
\(86\) 9.27680 + 25.4878i 1.00034 + 2.74842i
\(87\) 0.366504 + 0.204032i 0.0392933 + 0.0218745i
\(88\) −11.0418 7.73153i −1.17706 0.824183i
\(89\) 1.54112 + 2.66930i 0.163359 + 0.282945i 0.936071 0.351811i \(-0.114434\pi\)
−0.772713 + 0.634756i \(0.781101\pi\)
\(90\) 10.6743 12.5367i 1.12517 1.32149i
\(91\) 2.40246 4.16118i 0.251846 0.436211i
\(92\) 4.77305 2.22571i 0.497624 0.232046i
\(93\) −9.58374 + 1.84475i −0.993787 + 0.191292i
\(94\) −10.3853 + 12.3767i −1.07116 + 1.27656i
\(95\) −0.889896 0.961111i −0.0913014 0.0986079i
\(96\) −0.420699 0.0301896i −0.0429374 0.00308121i
\(97\) −1.41865 3.04230i −0.144042 0.308899i 0.821030 0.570886i \(-0.193400\pi\)
−0.965071 + 0.261987i \(0.915622\pi\)
\(98\) 36.4303 9.76147i 3.68002 0.986057i
\(99\) 3.02073 + 7.55582i 0.303594 + 0.759389i
\(100\) 19.3826 5.40931i 1.93826 0.540931i
\(101\) −7.00303 + 1.23482i −0.696828 + 0.122870i −0.510831 0.859681i \(-0.670662\pi\)
−0.185996 + 0.982550i \(0.559551\pi\)
\(102\) 2.60630 + 4.35559i 0.258062 + 0.431268i
\(103\) −6.19401 + 13.2831i −0.610314 + 1.30882i 0.321852 + 0.946790i \(0.395695\pi\)
−0.932166 + 0.362032i \(0.882083\pi\)
\(104\) 0.876761 4.97236i 0.0859735 0.487580i
\(105\) −0.418050 + 18.3115i −0.0407975 + 1.78702i
\(106\) 17.9122 15.0301i 1.73978 1.45985i
\(107\) 6.31758 6.31758i 0.610743 0.610743i −0.332397 0.943140i \(-0.607857\pi\)
0.943140 + 0.332397i \(0.107857\pi\)
\(108\) 16.6325 + 12.6768i 1.60046 + 1.21983i
\(109\) 8.92248i 0.854618i 0.904106 + 0.427309i \(0.140538\pi\)
−0.904106 + 0.427309i \(0.859462\pi\)
\(110\) −3.14684 + 14.5507i −0.300039 + 1.38735i
\(111\) 0.893668 + 1.23476i 0.0848232 + 0.117198i
\(112\) 16.0712 11.2532i 1.51859 1.06333i
\(113\) −2.95698 1.37886i −0.278169 0.129713i 0.278527 0.960428i \(-0.410154\pi\)
−0.556697 + 0.830716i \(0.687931\pi\)
\(114\) 1.73319 1.78823i 0.162328 0.167483i
\(115\) −2.16749 1.96559i −0.202120 0.183292i
\(116\) −0.844108 + 0.487346i −0.0783734 + 0.0452489i
\(117\) −2.08686 + 2.22157i −0.192930 + 0.205384i
\(118\) −7.56514 28.2335i −0.696427 2.59910i
\(119\) −5.30588 1.93118i −0.486389 0.177031i
\(120\) 6.16833 + 18.2317i 0.563089 + 1.66432i
\(121\) 2.79051 + 2.34151i 0.253683 + 0.212865i
\(122\) 19.8322 1.73510i 1.79553 0.157088i
\(123\) −7.13192 2.47028i −0.643064 0.222738i
\(124\) 7.75629 21.3102i 0.696536 1.91372i
\(125\) −6.94313 8.76316i −0.621013 0.783801i
\(126\) −34.8070 + 1.08833i −3.10085 + 0.0969566i
\(127\) −3.42225 + 12.7720i −0.303676 + 1.13333i 0.630404 + 0.776267i \(0.282889\pi\)
−0.934079 + 0.357065i \(0.883777\pi\)
\(128\) −11.1188 + 15.8794i −0.982777 + 1.40355i
\(129\) 13.7439 + 13.3208i 1.21008 + 1.17283i
\(130\) −5.43779 + 1.23511i −0.476926 + 0.108326i
\(131\) −0.581695 0.102569i −0.0508229 0.00896145i 0.148179 0.988961i \(-0.452659\pi\)
−0.199002 + 0.979999i \(0.563770\pi\)
\(132\) −18.6698 2.99194i −1.62500 0.260415i
\(133\) −0.241444 + 2.75972i −0.0209359 + 0.239298i
\(134\) 19.1530 1.65457
\(135\) 2.91247 11.2480i 0.250666 0.968074i
\(136\) −5.93330 −0.508776
\(137\) −1.49916 + 17.1355i −0.128082 + 1.46398i 0.611674 + 0.791110i \(0.290496\pi\)
−0.739756 + 0.672875i \(0.765059\pi\)
\(138\) 3.50887 4.31696i 0.298694 0.367484i
\(139\) 11.8215 + 2.08444i 1.00268 + 0.176800i 0.650804 0.759246i \(-0.274432\pi\)
0.351878 + 0.936046i \(0.385543\pi\)
\(140\) −36.0129 22.6814i −3.04365 1.91693i
\(141\) −2.77834 + 11.0573i −0.233978 + 0.931195i
\(142\) −1.84417 + 2.63375i −0.154759 + 0.221019i
\(143\) 0.713261 2.66193i 0.0596459 0.222602i
\(144\) −11.5562 + 4.62004i −0.963020 + 0.385004i
\(145\) 0.431327 + 0.327434i 0.0358198 + 0.0271919i
\(146\) −1.83956 + 5.05416i −0.152243 + 0.418285i
\(147\) 20.1178 17.4238i 1.65929 1.43709i
\(148\) −3.52827 + 0.308684i −0.290022 + 0.0253737i
\(149\) −7.50454 6.29706i −0.614796 0.515875i 0.281367 0.959600i \(-0.409212\pi\)
−0.896163 + 0.443725i \(0.853657\pi\)
\(150\) 15.9231 14.0820i 1.30011 1.14979i
\(151\) −14.4897 5.27382i −1.17916 0.429178i −0.323252 0.946313i \(-0.604776\pi\)
−0.855904 + 0.517135i \(0.826998\pi\)
\(152\) 0.753427 + 2.81183i 0.0611110 + 0.228069i
\(153\) 2.99681 + 1.96174i 0.242278 + 0.158597i
\(154\) 27.2675 15.7429i 2.19728 1.26860i
\(155\) −12.5847 + 0.614768i −1.01082 + 0.0493794i
\(156\) −1.93976 6.81164i −0.155305 0.545368i
\(157\) 15.3253 + 7.14630i 1.22309 + 0.570337i 0.923451 0.383716i \(-0.125356\pi\)
0.299640 + 0.954052i \(0.403134\pi\)
\(158\) 6.81211 4.76989i 0.541942 0.379472i
\(159\) 6.73872 15.0614i 0.534415 1.19445i
\(160\) −0.532212 0.115100i −0.0420751 0.00909949i
\(161\) 6.18847i 0.487720i
\(162\) 21.6534 + 4.37324i 1.70125 + 0.343594i
\(163\) 7.64324 7.64324i 0.598665 0.598665i −0.341293 0.939957i \(-0.610865\pi\)
0.939957 + 0.341293i \(0.110865\pi\)
\(164\) 13.4348 11.2731i 1.04908 0.880285i
\(165\) 2.48663 + 10.2066i 0.193584 + 0.794586i
\(166\) −4.10437 + 23.2770i −0.318561 + 1.80665i
\(167\) 0.444155 0.952493i 0.0343697 0.0737061i −0.888373 0.459122i \(-0.848164\pi\)
0.922743 + 0.385416i \(0.125942\pi\)
\(168\) 19.8000 35.5670i 1.52761 2.74405i
\(169\) −11.7859 + 2.07818i −0.906609 + 0.159860i
\(170\) 2.53899 + 6.04099i 0.194732 + 0.463323i
\(171\) 0.549136 1.66932i 0.0419935 0.127656i
\(172\) −42.9589 + 11.5108i −3.27558 + 0.877690i
\(173\) −7.74314 16.6052i −0.588700 1.26247i −0.944685 0.327979i \(-0.893632\pi\)
0.355985 0.934492i \(-0.384145\pi\)
\(174\) −0.577297 + 0.852519i −0.0437648 + 0.0646293i
\(175\) −3.86472 + 23.3282i −0.292145 + 1.76345i
\(176\) 7.23299 8.61994i 0.545207 0.649752i
\(177\) −13.5035 15.5913i −1.01498 1.17192i
\(178\) −6.85659 + 3.19728i −0.513923 + 0.239646i
\(179\) −4.22807 + 7.32323i −0.316021 + 0.547364i −0.979654 0.200694i \(-0.935680\pi\)
0.663633 + 0.748058i \(0.269014\pi\)
\(180\) 18.9527 + 19.2275i 1.41265 + 1.43313i
\(181\) 0.511902 + 0.886641i 0.0380494 + 0.0659035i 0.884423 0.466686i \(-0.154552\pi\)
−0.846374 + 0.532590i \(0.821219\pi\)
\(182\) 9.66088 + 6.76462i 0.716112 + 0.501427i
\(183\) 12.0549 7.21340i 0.891123 0.533230i
\(184\) 2.22413 + 6.11074i 0.163965 + 0.450489i
\(185\) 0.917642 + 1.74071i 0.0674664 + 0.127979i
\(186\) −2.46053 23.8286i −0.180415 1.74719i
\(187\) −3.22613 0.282250i −0.235918 0.0206402i
\(188\) −18.7326 18.7326i −1.36621 1.36621i
\(189\) −21.7603 + 11.4178i −1.58283 + 0.830522i
\(190\) 2.54046 1.97035i 0.184304 0.142944i
\(191\) 2.57471 + 3.06842i 0.186300 + 0.222023i 0.851108 0.524991i \(-0.175931\pi\)
−0.664808 + 0.747014i \(0.731487\pi\)
\(192\) −2.11018 + 13.1676i −0.152289 + 0.950289i
\(193\) −0.139991 0.199928i −0.0100768 0.0143911i 0.814082 0.580750i \(-0.197241\pi\)
−0.824159 + 0.566359i \(0.808352\pi\)
\(194\) 7.74244 2.81802i 0.555875 0.202322i
\(195\) −3.07130 + 2.45989i −0.219940 + 0.176156i
\(196\) 10.7387 + 60.9022i 0.767050 + 4.35015i
\(197\) −9.18550 2.46125i −0.654440 0.175357i −0.0837043 0.996491i \(-0.526675\pi\)
−0.570735 + 0.821134i \(0.693342\pi\)
\(198\) −19.1215 + 5.76983i −1.35891 + 0.410044i
\(199\) −4.26708 2.46360i −0.302486 0.174640i 0.341073 0.940037i \(-0.389210\pi\)
−0.643559 + 0.765397i \(0.722543\pi\)
\(200\) 4.56796 + 24.4242i 0.323004 + 1.72705i
\(201\) 12.1584 5.90262i 0.857588 0.416339i
\(202\) −1.52124 17.3878i −0.107034 1.22340i
\(203\) −0.0998220 1.14097i −0.00700613 0.0800805i
\(204\) −7.48712 + 3.63482i −0.524203 + 0.254488i
\(205\) −8.66616 4.45443i −0.605271 0.311111i
\(206\) −31.1544 17.9870i −2.17063 1.25322i
\(207\) 0.897034 3.82180i 0.0623482 0.265633i
\(208\) 4.07128 + 1.09090i 0.282292 + 0.0756400i
\(209\) 0.275903 + 1.56473i 0.0190846 + 0.108234i
\(210\) −44.6854 4.93950i −3.08359 0.340858i
\(211\) −24.7804 + 9.01933i −1.70595 + 0.620916i −0.996481 0.0838177i \(-0.973289\pi\)
−0.709472 + 0.704734i \(0.751066\pi\)
\(212\) 21.9911 + 31.4066i 1.51036 + 2.15701i
\(213\) −0.359014 + 2.24026i −0.0245992 + 0.153500i
\(214\) 14.0961 + 16.7991i 0.963589 + 1.14836i
\(215\) 15.1436 + 19.5253i 1.03278 + 1.33161i
\(216\) −17.3834 + 19.0950i −1.18279 + 1.29925i
\(217\) 18.8430 + 18.8430i 1.27915 + 1.27915i
\(218\) −21.8170 1.90874i −1.47764 0.129276i
\(219\) 0.389840 + 3.77533i 0.0263429 + 0.255113i
\(220\) −23.3181 7.21963i −1.57211 0.486747i
\(221\) −0.414884 1.13988i −0.0279081 0.0766769i
\(222\) −3.21038 + 1.92103i −0.215467 + 0.128931i
\(223\) 2.37995 + 1.66646i 0.159373 + 0.111594i 0.650543 0.759470i \(-0.274541\pi\)
−0.491169 + 0.871064i \(0.663430\pi\)
\(224\) 0.575821 + 0.997351i 0.0384737 + 0.0666383i
\(225\) 5.76821 13.8466i 0.384548 0.923105i
\(226\) 4.00414 6.93537i 0.266351 0.461334i
\(227\) 12.2705 5.72184i 0.814424 0.379772i 0.0296545 0.999560i \(-0.490559\pi\)
0.784769 + 0.619788i \(0.212782\pi\)
\(228\) 2.67330 + 3.08664i 0.177044 + 0.204417i
\(229\) 6.17868 7.36346i 0.408298 0.486591i −0.522233 0.852803i \(-0.674901\pi\)
0.930532 + 0.366212i \(0.119345\pi\)
\(230\) 5.26989 4.87941i 0.347487 0.321739i
\(231\) 12.4579 18.3971i 0.819668 1.21044i
\(232\) −0.508632 1.09076i −0.0333933 0.0716122i
\(233\) −17.2248 + 4.61537i −1.12843 + 0.302363i −0.774292 0.632829i \(-0.781894\pi\)
−0.354142 + 0.935192i \(0.615227\pi\)
\(234\) −4.98570 5.57798i −0.325926 0.364644i
\(235\) −5.56210 + 13.6273i −0.362831 + 0.888945i
\(236\) 47.1992 8.32249i 3.07240 0.541748i
\(237\) 2.85436 5.12732i 0.185411 0.333055i
\(238\) 5.85714 12.5607i 0.379662 0.814188i
\(239\) 4.22324 23.9512i 0.273179 1.54927i −0.471510 0.881861i \(-0.656291\pi\)
0.744688 0.667412i \(-0.232598\pi\)
\(240\) −15.6105 + 3.80317i −1.00765 + 0.245494i
\(241\) 5.17529 4.34259i 0.333370 0.279731i −0.460701 0.887555i \(-0.652402\pi\)
0.794071 + 0.607825i \(0.207958\pi\)
\(242\) −6.32237 + 6.32237i −0.406418 + 0.406418i
\(243\) 15.0935 3.89706i 0.968247 0.249997i
\(244\) 32.6430i 2.08975i
\(245\) 28.8819 18.6108i 1.84520 1.18900i
\(246\) 7.56597 16.9104i 0.482389 1.07816i
\(247\) −0.487515 + 0.341362i −0.0310199 + 0.0217203i
\(248\) 25.3785 + 11.8342i 1.61154 + 0.751472i
\(249\) 4.56811 + 16.0413i 0.289492 + 1.01657i
\(250\) 22.9128 15.1025i 1.44913 0.955167i
\(251\) 22.8066 13.1674i 1.43954 0.831118i 0.441721 0.897152i \(-0.354368\pi\)
0.997817 + 0.0660346i \(0.0210348\pi\)
\(252\) 3.19647 57.0111i 0.201359 3.59136i
\(253\) 0.918641 + 3.42841i 0.0577544 + 0.215543i
\(254\) −30.4977 11.1003i −1.91360 0.696492i
\(255\) 3.47349 + 3.05238i 0.217518 + 0.191147i
\(256\) −24.6532 20.6865i −1.54083 1.29291i
\(257\) −16.2002 + 1.41734i −1.01054 + 0.0884111i −0.580385 0.814342i \(-0.697098\pi\)
−0.430158 + 0.902753i \(0.641542\pi\)
\(258\) −35.5120 + 30.7565i −2.21088 + 1.91482i
\(259\) 1.42342 3.91081i 0.0884470 0.243006i
\(260\) −1.24038 9.05888i −0.0769252 0.561808i
\(261\) −0.103740 + 0.719097i −0.00642133 + 0.0445110i
\(262\) 0.375237 1.40040i 0.0231822 0.0865173i
\(263\) 3.83947 5.48334i 0.236752 0.338117i −0.683141 0.730287i \(-0.739387\pi\)
0.919893 + 0.392170i \(0.128275\pi\)
\(264\) 5.68952 22.6433i 0.350166 1.39360i
\(265\) 11.3522 18.0246i 0.697358 1.10725i
\(266\) −6.69635 1.18075i −0.410579 0.0723962i
\(267\) −3.36725 + 4.14274i −0.206073 + 0.253531i
\(268\) −2.73713 + 31.2855i −0.167197 + 1.91107i
\(269\) −3.20425 −0.195366 −0.0976832 0.995218i \(-0.531143\pi\)
−0.0976832 + 0.995218i \(0.531143\pi\)
\(270\) 26.8803 + 9.52774i 1.63588 + 0.579840i
\(271\) −29.5892 −1.79742 −0.898709 0.438546i \(-0.855494\pi\)
−0.898709 + 0.438546i \(0.855494\pi\)
\(272\) 0.431686 4.93420i 0.0261748 0.299180i
\(273\) 8.21752 + 1.31690i 0.497347 + 0.0797024i
\(274\) −41.5786 7.33143i −2.51186 0.442908i
\(275\) 1.32188 + 13.4976i 0.0797124 + 0.813933i
\(276\) 6.55010 + 6.34850i 0.394270 + 0.382135i
\(277\) −5.40612 + 7.72074i −0.324822 + 0.463895i −0.948039 0.318155i \(-0.896937\pi\)
0.623216 + 0.782050i \(0.285826\pi\)
\(278\) −7.62573 + 28.4596i −0.457361 + 1.70689i
\(279\) −8.90551 14.3682i −0.533159 0.860202i
\(280\) 31.7755 41.8577i 1.89895 2.50148i
\(281\) 0.877392 2.41061i 0.0523408 0.143805i −0.910767 0.412920i \(-0.864509\pi\)
0.963108 + 0.269115i \(0.0867311\pi\)
\(282\) −26.4428 9.15897i −1.57464 0.545409i
\(283\) 17.8806 1.56435i 1.06289 0.0929908i 0.457727 0.889093i \(-0.348664\pi\)
0.605163 + 0.796102i \(0.293108\pi\)
\(284\) −4.03856 3.38875i −0.239644 0.201085i
\(285\) 1.00547 2.03371i 0.0595588 0.120467i
\(286\) 6.35630 + 2.31350i 0.375856 + 0.136800i
\(287\) 5.33381 + 19.9060i 0.314845 + 1.17502i
\(288\) −0.211040 0.699399i −0.0124357 0.0412125i
\(289\) 13.4879 7.78726i 0.793408 0.458074i
\(290\) −0.892907 + 0.984625i −0.0524333 + 0.0578192i
\(291\) 4.04648 4.17498i 0.237209 0.244742i
\(292\) −7.99284 3.72712i −0.467745 0.218113i
\(293\) −20.1095 + 14.0808i −1.17481 + 0.822609i −0.987177 0.159631i \(-0.948970\pi\)
−0.187630 + 0.982240i \(0.560081\pi\)
\(294\) 38.3006 + 52.9190i 2.23374 + 3.08630i
\(295\) −14.4234 22.3835i −0.839760 1.30322i
\(296\) 4.37326i 0.254191i
\(297\) −10.3603 + 9.55564i −0.601165 + 0.554474i
\(298\) 17.0028 17.0028i 0.984947 0.984947i
\(299\) −1.01845 + 0.854582i −0.0588986 + 0.0494218i
\(300\) 20.7268 + 28.0221i 1.19666 + 1.61785i
\(301\) 9.07491 51.4664i 0.523069 2.96647i
\(302\) 15.9951 34.3017i 0.920417 1.97384i
\(303\) −6.32431 10.5691i −0.363322 0.607176i
\(304\) −2.39317 + 0.421980i −0.137258 + 0.0242022i
\(305\) 16.7195 7.02711i 0.957357 0.402371i
\(306\) −5.43788 + 6.90807i −0.310863 + 0.394908i
\(307\) 18.7772 5.03134i 1.07167 0.287154i 0.320493 0.947251i \(-0.396151\pi\)
0.751180 + 0.660097i \(0.229485\pi\)
\(308\) 21.8185 + 46.7900i 1.24323 + 2.66611i
\(309\) −25.3203 1.81700i −1.44042 0.103365i
\(310\) 1.18896 30.9032i 0.0675285 1.75519i
\(311\) −3.69580 + 4.40448i −0.209569 + 0.249755i −0.860582 0.509312i \(-0.829900\pi\)
0.651013 + 0.759067i \(0.274344\pi\)
\(312\) 8.58759 1.65300i 0.486177 0.0935829i
\(313\) 10.6871 4.98349i 0.604072 0.281683i −0.0964234 0.995340i \(-0.530740\pi\)
0.700495 + 0.713657i \(0.252963\pi\)
\(314\) −20.7524 + 35.9442i −1.17113 + 2.02845i
\(315\) −29.8888 + 10.6357i −1.68404 + 0.599251i
\(316\) 6.81788 + 11.8089i 0.383536 + 0.664303i
\(317\) −11.3832 7.97058i −0.639342 0.447672i 0.208427 0.978038i \(-0.433166\pi\)
−0.847769 + 0.530366i \(0.822055\pi\)
\(318\) 35.3862 + 19.6994i 1.98436 + 1.10469i
\(319\) −0.224672 0.617281i −0.0125792 0.0345611i
\(320\) −5.09191 + 16.4460i −0.284646 + 0.919357i
\(321\) 14.1255 + 6.31997i 0.788406 + 0.352746i
\(322\) −15.1319 1.32387i −0.843268 0.0737763i
\(323\) 0.494532 + 0.494532i 0.0275165 + 0.0275165i
\(324\) −10.2379 + 34.7449i −0.568774 + 1.93027i
\(325\) −4.37288 + 2.58543i −0.242564 + 0.143414i
\(326\) 17.0540 + 20.3241i 0.944533 + 1.12565i
\(327\) −14.4378 + 5.51195i −0.798412 + 0.304812i
\(328\) 12.4210 + 17.7390i 0.685836 + 0.979475i
\(329\) 29.2524 10.6470i 1.61274 0.586988i
\(330\) −25.4890 + 3.89680i −1.40312 + 0.214512i
\(331\) 5.48482 + 31.1060i 0.301473 + 1.70974i 0.639658 + 0.768659i \(0.279076\pi\)
−0.338185 + 0.941080i \(0.609813\pi\)
\(332\) −37.4354 10.0308i −2.05453 0.550511i
\(333\) −1.44594 + 2.20886i −0.0792370 + 0.121045i
\(334\) 2.23400 + 1.28980i 0.122239 + 0.0705747i
\(335\) 16.6134 5.33294i 0.907689 0.291370i
\(336\) 28.1374 + 19.0537i 1.53502 + 1.03946i
\(337\) 0.295807 + 3.38108i 0.0161136 + 0.184179i 0.999986 + 0.00530714i \(0.00168932\pi\)
−0.983872 + 0.178872i \(0.942755\pi\)
\(338\) −2.56020 29.2632i −0.139257 1.59171i
\(339\) 0.404486 5.63661i 0.0219687 0.306139i
\(340\) −10.2305 + 3.28401i −0.554827 + 0.178100i
\(341\) 13.2362 + 7.64191i 0.716779 + 0.413833i
\(342\) 3.96430 + 1.69984i 0.214365 + 0.0919170i
\(343\) −38.2154 10.2398i −2.06344 0.552897i
\(344\) −9.53602 54.0814i −0.514148 2.91588i
\(345\) 1.84161 4.72157i 0.0991487 0.254201i
\(346\) 42.2591 15.3811i 2.27186 0.826891i
\(347\) 20.0517 + 28.6368i 1.07643 + 1.53730i 0.821384 + 0.570376i \(0.193202\pi\)
0.255048 + 0.966928i \(0.417909\pi\)
\(348\) −1.31005 1.06482i −0.0702260 0.0570804i
\(349\) 14.2588 + 16.9930i 0.763258 + 0.909615i 0.998049 0.0624307i \(-0.0198853\pi\)
−0.234792 + 0.972046i \(0.575441\pi\)
\(350\) −56.2149 14.4404i −3.00481 0.771873i
\(351\) −4.88399 2.00442i −0.260688 0.106988i
\(352\) 0.467056 + 0.467056i 0.0248942 + 0.0248942i
\(353\) 27.3049 + 2.38887i 1.45330 + 0.127147i 0.786268 0.617886i \(-0.212011\pi\)
0.667028 + 0.745033i \(0.267566\pi\)
\(354\) 41.0122 29.6830i 2.17978 1.57763i
\(355\) −0.866309 + 2.79802i −0.0459789 + 0.148504i
\(356\) −4.24274 11.6568i −0.224865 0.617811i
\(357\) −0.152841 9.77865i −0.00808919 0.517541i
\(358\) −17.0021 11.9050i −0.898589 0.629199i
\(359\) 1.15564 + 2.00162i 0.0609923 + 0.105642i 0.894909 0.446248i \(-0.147240\pi\)
−0.833917 + 0.551890i \(0.813907\pi\)
\(360\) −25.6909 + 21.2441i −1.35403 + 1.11966i
\(361\) −9.32844 + 16.1573i −0.490970 + 0.850385i
\(362\) −2.27750 + 1.06202i −0.119703 + 0.0558184i
\(363\) −2.06503 + 5.96192i −0.108386 + 0.312920i
\(364\) −12.4303 + 14.8139i −0.651525 + 0.776458i
\(365\) −0.188376 + 4.89622i −0.00986003 + 0.256280i
\(366\) 15.0592 + 31.0194i 0.787157 + 1.62141i
\(367\) 13.1918 + 28.2899i 0.688607 + 1.47672i 0.869866 + 0.493288i \(0.164205\pi\)
−0.181259 + 0.983435i \(0.558017\pi\)
\(368\) −5.24358 + 1.40501i −0.273340 + 0.0732414i
\(369\) −0.408559 13.0665i −0.0212687 0.680214i
\(370\) −4.45264 + 1.87142i −0.231482 + 0.0972903i
\(371\) −44.3681 + 7.82330i −2.30348 + 0.406165i
\(372\) 39.2745 0.613861i 2.03629 0.0318272i
\(373\) −13.6991 + 29.3777i −0.709310 + 1.52112i 0.138237 + 0.990399i \(0.455857\pi\)
−0.847547 + 0.530721i \(0.821921\pi\)
\(374\) 1.38030 7.82808i 0.0713737 0.404780i
\(375\) 9.89081 16.6485i 0.510759 0.859724i
\(376\) 25.0584 21.0265i 1.29229 1.08436i
\(377\) 0.173988 0.173988i 0.00896083 0.00896083i
\(378\) −23.2634 55.6502i −1.19654 2.86234i
\(379\) 4.84696i 0.248972i −0.992221 0.124486i \(-0.960272\pi\)
0.992221 0.124486i \(-0.0397282\pi\)
\(380\) 2.85541 + 4.43129i 0.146480 + 0.227321i
\(381\) −22.7810 + 2.35237i −1.16711 + 0.120515i
\(382\) −8.05362 + 5.63921i −0.412059 + 0.288527i
\(383\) −11.1741 5.21058i −0.570971 0.266248i 0.115618 0.993294i \(-0.463115\pi\)
−0.686589 + 0.727046i \(0.740893\pi\)
\(384\) −32.5638 8.18220i −1.66176 0.417546i
\(385\) 19.2686 21.2479i 0.982019 1.08289i
\(386\) 0.518806 0.299533i 0.0264065 0.0152458i
\(387\) −13.0646 + 30.4686i −0.664109 + 1.54880i
\(388\) 3.49664 + 13.0496i 0.177515 + 0.662495i
\(389\) 11.2960 + 4.11142i 0.572732 + 0.208457i 0.612118 0.790767i \(-0.290318\pi\)
−0.0393859 + 0.999224i \(0.512540\pi\)
\(390\) −5.35783 8.03610i −0.271304 0.406924i
\(391\) 1.19681 + 1.00424i 0.0605253 + 0.0507868i
\(392\) −76.0700 + 6.65526i −3.84211 + 0.336141i
\(393\) −0.193378 1.00463i −0.00975463 0.0506767i
\(394\) 7.98319 21.9336i 0.402187 1.10500i
\(395\) 4.58075 6.03419i 0.230482 0.303613i
\(396\) −6.69211 32.0587i −0.336291 1.61101i
\(397\) 4.32882 16.1554i 0.217257 0.810815i −0.768103 0.640327i \(-0.778799\pi\)
0.985360 0.170488i \(-0.0545344\pi\)
\(398\) 6.93678 9.90675i 0.347709 0.496580i
\(399\) −4.61476 + 1.31415i −0.231027 + 0.0657900i
\(400\) −20.6438 + 2.02175i −1.03219 + 0.101087i
\(401\) 15.5955 + 2.74991i 0.778803 + 0.137324i 0.548898 0.835889i \(-0.315047\pi\)
0.229905 + 0.973213i \(0.426159\pi\)
\(402\) 11.8320 + 30.9922i 0.590124 + 1.54575i
\(403\) −0.498959 + 5.70313i −0.0248549 + 0.284093i
\(404\) 28.6196 1.42388
\(405\) 20.0000 2.23578i 0.993810 0.111097i
\(406\) 2.81123 0.139519
\(407\) 0.208038 2.37789i 0.0103121 0.117868i
\(408\) −3.66535 9.60090i −0.181462 0.475315i
\(409\) 6.67646 + 1.17724i 0.330130 + 0.0582108i 0.336257 0.941770i \(-0.390839\pi\)
−0.00612663 + 0.999981i \(0.501950\pi\)
\(410\) 12.7458 20.2374i 0.629469 0.999453i
\(411\) −28.6537 + 8.15978i −1.41338 + 0.402492i
\(412\) 33.8332 48.3188i 1.66684 2.38050i
\(413\) −14.5761 + 54.3989i −0.717245 + 2.67679i
\(414\) 9.15308 + 3.01098i 0.449849 + 0.147982i
\(415\) 2.92108 + 21.3335i 0.143390 + 1.04722i
\(416\) −0.0846199 + 0.232491i −0.00414883 + 0.0113988i
\(417\) 3.92991 + 20.4164i 0.192448 + 0.999797i
\(418\) −3.88505 + 0.339898i −0.190024 + 0.0166250i
\(419\) 20.0804 + 16.8495i 0.980992 + 0.823150i 0.984239 0.176845i \(-0.0565892\pi\)
−0.00324717 + 0.999995i \(0.501034\pi\)
\(420\) 14.4544 72.2856i 0.705301 3.52718i
\(421\) −8.48131 3.08694i −0.413354 0.150448i 0.126968 0.991907i \(-0.459475\pi\)
−0.540322 + 0.841458i \(0.681698\pi\)
\(422\) −16.7527 62.5219i −0.815508 3.04352i
\(423\) −19.6086 + 2.33504i −0.953405 + 0.113533i
\(424\) −40.9991 + 23.6709i −1.99109 + 1.14956i
\(425\) 3.88438 + 4.53304i 0.188420 + 0.219885i
\(426\) −5.40103 1.35710i −0.261681 0.0657517i
\(427\) −34.7639 16.2107i −1.68234 0.784490i
\(428\) −29.4549 + 20.6246i −1.42376 + 0.996926i
\(429\) 4.74799 0.490277i 0.229235 0.0236708i
\(430\) −50.9824 + 32.8517i −2.45859 + 1.58425i
\(431\) 26.9295i 1.29715i −0.761151 0.648575i \(-0.775365\pi\)
0.761151 0.648575i \(-0.224635\pi\)
\(432\) −14.6149 15.8455i −0.703157 0.762368i
\(433\) −0.461356 + 0.461356i −0.0221714 + 0.0221714i −0.718106 0.695934i \(-0.754991\pi\)
0.695934 + 0.718106i \(0.254991\pi\)
\(434\) −50.1055 + 42.0435i −2.40514 + 2.01815i
\(435\) −0.263377 + 0.900224i −0.0126280 + 0.0431624i
\(436\) 6.23568 35.3643i 0.298635 1.69364i
\(437\) 0.323943 0.694699i 0.0154963 0.0332319i
\(438\) −9.31474 + 0.145590i −0.445075 + 0.00695654i
\(439\) −1.32806 + 0.234172i −0.0633847 + 0.0111764i −0.205251 0.978709i \(-0.565801\pi\)
0.141866 + 0.989886i \(0.454690\pi\)
\(440\) 11.3901 27.9061i 0.543003 1.33037i
\(441\) 40.6221 + 21.7897i 1.93439 + 1.03760i
\(442\) 2.87597 0.770614i 0.136796 0.0366544i
\(443\) −13.1844 28.2741i −0.626410 1.34334i −0.921689 0.387930i \(-0.873190\pi\)
0.295278 0.955411i \(-0.404588\pi\)
\(444\) −2.67912 5.51854i −0.127145 0.261898i
\(445\) −5.05721 + 4.68249i −0.239735 + 0.221971i
\(446\) −4.58392 + 5.46290i −0.217055 + 0.258676i
\(447\) 5.55351 16.0335i 0.262672 0.758357i
\(448\) 33.0004 15.3883i 1.55912 0.727031i
\(449\) 9.91012 17.1648i 0.467688 0.810059i −0.531631 0.846976i \(-0.678421\pi\)
0.999318 + 0.0369176i \(0.0117539\pi\)
\(450\) 32.6234 + 17.0664i 1.53788 + 0.804519i
\(451\) 5.90986 + 10.2362i 0.278285 + 0.482003i
\(452\) 10.7564 + 7.53169i 0.505937 + 0.354261i
\(453\) −0.417389 26.7043i −0.0196107 1.25468i
\(454\) 11.3659 + 31.2276i 0.533430 + 1.46559i
\(455\) 10.2635 + 3.17772i 0.481158 + 0.148974i
\(456\) −4.08449 + 2.95619i −0.191274 + 0.138436i
\(457\) −13.1482 1.15032i −0.615046 0.0538096i −0.224624 0.974446i \(-0.572115\pi\)
−0.390422 + 0.920636i \(0.627671\pi\)
\(458\) 16.6832 + 16.6832i 0.779554 + 0.779554i
\(459\) −1.32305 + 6.06114i −0.0617547 + 0.282910i
\(460\) 7.21718 + 9.30543i 0.336503 + 0.433868i
\(461\) −3.71376 4.42589i −0.172967 0.206134i 0.672596 0.740010i \(-0.265179\pi\)
−0.845563 + 0.533876i \(0.820735\pi\)
\(462\) 42.3190 + 34.3973i 1.96886 + 1.60031i
\(463\) 8.45389 + 12.0734i 0.392885 + 0.561099i 0.966054 0.258339i \(-0.0831750\pi\)
−0.573169 + 0.819437i \(0.694286\pi\)
\(464\) 0.944098 0.343624i 0.0438287 0.0159523i
\(465\) −8.76909 19.9840i −0.406657 0.926734i
\(466\) −7.60057 43.1050i −0.352090 1.99680i
\(467\) −21.6995 5.81437i −1.00413 0.269057i −0.280958 0.959720i \(-0.590652\pi\)
−0.723177 + 0.690663i \(0.757319\pi\)
\(468\) 9.82387 7.34677i 0.454108 0.339604i
\(469\) −31.9590 18.4515i −1.47573 0.852012i
\(470\) −32.1312 16.5155i −1.48210 0.761805i
\(471\) −2.09635 + 29.2131i −0.0965946 + 1.34607i
\(472\) 5.15783 + 58.9542i 0.237408 + 2.71359i
\(473\) −2.61237 29.8595i −0.120117 1.37294i
\(474\) 11.9266 + 8.07629i 0.547806 + 0.370956i
\(475\) 1.65499 2.41645i 0.0759361 0.110875i
\(476\) 19.6802 + 11.3624i 0.902042 + 0.520794i
\(477\) 28.5343 + 1.59985i 1.30650 + 0.0732521i
\(478\) 57.6614 + 15.4503i 2.63737 + 0.706682i
\(479\) 3.89318 + 22.0793i 0.177884 + 1.00883i 0.934762 + 0.355274i \(0.115613\pi\)
−0.756878 + 0.653556i \(0.773276\pi\)
\(480\) −0.142531 0.932298i −0.00650563 0.0425534i
\(481\) 0.840176 0.305799i 0.0383087 0.0139432i
\(482\) 9.51126 + 13.5835i 0.433226 + 0.618711i
\(483\) −10.0138 + 3.82299i −0.455644 + 0.173952i
\(484\) −9.42378 11.2308i −0.428353 0.510492i
\(485\) 5.93120 4.60017i 0.269322 0.208883i
\(486\) 6.30013 + 37.7399i 0.285780 + 1.71192i
\(487\) −15.7748 15.7748i −0.714827 0.714827i 0.252714 0.967541i \(-0.418677\pi\)
−0.967541 + 0.252714i \(0.918677\pi\)
\(488\) −40.1534 3.51296i −1.81766 0.159024i
\(489\) 17.0895 + 7.64613i 0.772814 + 0.345770i
\(490\) 39.3281 + 74.6027i 1.77666 + 3.37021i
\(491\) 3.57036 + 9.80948i 0.161128 + 0.442696i 0.993815 0.111048i \(-0.0354208\pi\)
−0.832687 + 0.553744i \(0.813199\pi\)
\(492\) 26.5410 + 14.7753i 1.19656 + 0.666122i
\(493\) −0.236855 0.165848i −0.0106674 0.00746942i
\(494\) −0.730398 1.26509i −0.0328622 0.0569190i
\(495\) −14.9796 + 10.3290i −0.673283 + 0.464253i
\(496\) −11.6879 + 20.2441i −0.524803 + 0.908985i
\(497\) 5.61450 2.61809i 0.251845 0.117437i
\(498\) −40.2010 + 7.73819i −1.80145 + 0.346757i
\(499\) 4.79129 5.71004i 0.214488 0.255617i −0.648063 0.761586i \(-0.724421\pi\)
0.862551 + 0.505970i \(0.168865\pi\)
\(500\) 21.3948 + 39.5852i 0.956806 + 1.77030i
\(501\) 1.81565 + 0.130292i 0.0811171 + 0.00582101i
\(502\) 27.3177 + 58.5829i 1.21925 + 2.61468i
\(503\) 21.6342 5.79688i 0.964623 0.258470i 0.258067 0.966127i \(-0.416914\pi\)
0.706556 + 0.707657i \(0.250248\pi\)
\(504\) 69.7840 + 10.0673i 3.10843 + 0.448434i
\(505\) −6.16098 14.6587i −0.274160 0.652305i
\(506\) −8.57960 + 1.51281i −0.381410 + 0.0672528i
\(507\) −10.6437 17.7874i −0.472701 0.789968i
\(508\) 22.4901 48.2303i 0.997838 2.13987i
\(509\) −6.68306 + 37.9015i −0.296221 + 1.67996i 0.365975 + 0.930625i \(0.380736\pi\)
−0.662196 + 0.749331i \(0.730375\pi\)
\(510\) −8.20667 + 7.84032i −0.363397 + 0.347175i
\(511\) 7.93857 6.66126i 0.351182 0.294677i
\(512\) 28.4414 28.4414i 1.25694 1.25694i
\(513\) 3.04042 0.142659i 0.134238 0.00629853i
\(514\) 39.9156i 1.76060i
\(515\) −32.0319 6.92746i −1.41149 0.305261i
\(516\) −45.1643 62.4025i −1.98825 2.74712i
\(517\) 14.6253 10.2408i 0.643222 0.450389i
\(518\) 9.25812 + 4.31713i 0.406778 + 0.189684i
\(519\) 22.0861 22.7875i 0.969474 1.00026i
\(520\) 11.2766 0.550868i 0.494512 0.0241572i
\(521\) −32.4577 + 18.7395i −1.42200 + 0.820992i −0.996470 0.0839530i \(-0.973245\pi\)
−0.425529 + 0.904945i \(0.639912\pi\)
\(522\) −1.73613 0.407495i −0.0759882 0.0178356i
\(523\) −5.44201 20.3099i −0.237962 0.888088i −0.976791 0.214195i \(-0.931287\pi\)
0.738829 0.673893i \(-0.235379\pi\)
\(524\) 2.23387 + 0.813062i 0.0975871 + 0.0355188i
\(525\) −40.1358 + 8.15761i −1.75167 + 0.356027i
\(526\) 12.5864 + 10.5612i 0.548791 + 0.460491i
\(527\) 6.70191 0.586341i 0.291940 0.0255414i
\(528\) 18.4165 + 6.37892i 0.801476 + 0.277607i
\(529\) −7.28082 + 20.0039i −0.316557 + 0.869734i
\(530\) 41.6449 + 31.6140i 1.80894 + 1.37322i
\(531\) 16.8870 31.4822i 0.732834 1.36621i
\(532\) 2.88566 10.7694i 0.125109 0.466914i
\(533\) −2.53943 + 3.62668i −0.109995 + 0.157089i
\(534\) −9.40938 9.11977i −0.407184 0.394651i
\(535\) 16.9046 + 10.6467i 0.730848 + 0.460298i
\(536\) −38.1890 6.73375i −1.64951 0.290854i
\(537\) −14.4619 2.31760i −0.624078 0.100012i
\(538\) 0.685470 7.83495i 0.0295527 0.337789i
\(539\) −41.6784 −1.79521
\(540\) −19.4045 + 42.5461i −0.835038 + 1.83089i
\(541\) 4.57481 0.196686 0.0983432 0.995153i \(-0.468646\pi\)
0.0983432 + 0.995153i \(0.468646\pi\)
\(542\) 6.32988 72.3509i 0.271892 3.10774i
\(543\) −1.11848 + 1.37606i −0.0479984 + 0.0590524i
\(544\) 0.286324 + 0.0504866i 0.0122760 + 0.00216460i
\(545\) −19.4557 + 4.41905i −0.833391 + 0.189292i
\(546\) −4.97799 + 19.8116i −0.213038 + 0.847856i
\(547\) −6.27955 + 8.96813i −0.268494 + 0.383449i −0.930646 0.365920i \(-0.880754\pi\)
0.662152 + 0.749369i \(0.269643\pi\)
\(548\) 17.9175 66.8690i 0.765397 2.85650i
\(549\) 19.1193 + 15.0503i 0.815992 + 0.642332i
\(550\) −33.2867 + 0.344764i −1.41935 + 0.0147008i
\(551\) −0.0485199 + 0.133307i −0.00206702 + 0.00567908i
\(552\) −8.51404 + 7.37391i −0.362382 + 0.313855i
\(553\) −15.9620 + 1.39649i −0.678772 + 0.0593849i
\(554\) −17.7221 14.8706i −0.752939 0.631791i
\(555\) −2.24982 + 2.56021i −0.0954996 + 0.108675i
\(556\) −45.3977 16.5234i −1.92529 0.700748i
\(557\) 0.231160 + 0.862701i 0.00979457 + 0.0365538i 0.970650 0.240496i \(-0.0773100\pi\)
−0.960856 + 0.277050i \(0.910643\pi\)
\(558\) 37.0379 18.7018i 1.56794 0.791711i
\(559\) 9.72313 5.61365i 0.411245 0.237432i
\(560\) 32.4975 + 29.4703i 1.37327 + 1.24535i
\(561\) −1.53626 5.39469i −0.0648608 0.227764i
\(562\) 5.70668 + 2.66107i 0.240722 + 0.112250i
\(563\) 29.5939 20.7218i 1.24723 0.873322i 0.251706 0.967804i \(-0.419008\pi\)
0.995527 + 0.0944822i \(0.0301195\pi\)
\(564\) 18.7396 41.8841i 0.789081 1.76364i
\(565\) 1.54214 7.13070i 0.0648783 0.299991i
\(566\) 44.0558i 1.85180i
\(567\) −31.9182 28.1576i −1.34044 1.18251i
\(568\) 4.60305 4.60305i 0.193139 0.193139i
\(569\) 5.09704 4.27692i 0.213679 0.179298i −0.529666 0.848206i \(-0.677683\pi\)
0.743345 + 0.668908i \(0.233238\pi\)
\(570\) 4.75769 + 2.89361i 0.199278 + 0.121200i
\(571\) 1.91569 10.8644i 0.0801693 0.454663i −0.918126 0.396290i \(-0.870298\pi\)
0.998295 0.0583730i \(-0.0185913\pi\)
\(572\) −4.68737 + 10.0521i −0.195989 + 0.420299i
\(573\) −3.37458 + 6.06179i −0.140975 + 0.253235i
\(574\) −49.8148 + 8.78369i −2.07923 + 0.366624i
\(575\) 3.21253 5.69978i 0.133972 0.237697i
\(576\) −22.6106 + 4.71986i −0.942107 + 0.196661i
\(577\) 29.5074 7.90648i 1.22841 0.329151i 0.414449 0.910073i \(-0.363974\pi\)
0.813960 + 0.580921i \(0.197308\pi\)
\(578\) 16.1558 + 34.6463i 0.671993 + 1.44109i
\(579\) 0.237030 0.350032i 0.00985062 0.0145468i
\(580\) −1.48073 1.59923i −0.0614841 0.0664045i
\(581\) 29.2731 34.8864i 1.21445 1.44733i
\(582\) 9.34292 + 10.7875i 0.387276 + 0.447156i
\(583\) −23.4186 + 10.9203i −0.969901 + 0.452272i
\(584\) 5.44482 9.43070i 0.225308 0.390245i
\(585\) −5.87776 3.45017i −0.243016 0.142647i
\(586\) −30.1281 52.1834i −1.24458 2.15568i
\(587\) −0.647703 0.453527i −0.0267336 0.0187191i 0.560133 0.828403i \(-0.310750\pi\)
−0.586867 + 0.809683i \(0.699639\pi\)
\(588\) −91.9142 + 54.9996i −3.79048 + 2.26815i
\(589\) −1.12890 3.10162i −0.0465155 0.127800i
\(590\) 57.8171 30.4793i 2.38029 1.25481i
\(591\) −1.69180 16.3839i −0.0695912 0.673942i
\(592\) 3.63686 + 0.318184i 0.149474 + 0.0130773i
\(593\) 27.9143 + 27.9143i 1.14630 + 1.14630i 0.987274 + 0.159029i \(0.0508363\pi\)
0.159029 + 0.987274i \(0.449164\pi\)
\(594\) −21.1489 27.3769i −0.867750 1.12329i
\(595\) 1.58314 12.5261i 0.0649025 0.513519i
\(596\) 25.3435 + 30.2032i 1.03811 + 1.23717i
\(597\) 1.35042 8.42665i 0.0552688 0.344880i
\(598\) −1.87173 2.67311i −0.0765408 0.109312i
\(599\) 35.2332 12.8238i 1.43959 0.523967i 0.499925 0.866068i \(-0.333361\pi\)
0.939663 + 0.342101i \(0.111139\pi\)
\(600\) −36.6998 + 22.4799i −1.49826 + 0.917738i
\(601\) 0.988708 + 5.60724i 0.0403302 + 0.228724i 0.998310 0.0581113i \(-0.0185078\pi\)
−0.957980 + 0.286835i \(0.907397\pi\)
\(602\) 123.903 + 33.1997i 5.04991 + 1.35312i
\(603\) 17.0622 + 16.0276i 0.694828 + 0.652694i
\(604\) 53.7443 + 31.0293i 2.18683 + 1.26256i
\(605\) −3.72368 + 7.24447i −0.151389 + 0.294530i
\(606\) 27.1961 13.2031i 1.10477 0.536338i
\(607\) 1.02272 + 11.6898i 0.0415111 + 0.474474i 0.988290 + 0.152589i \(0.0487610\pi\)
−0.946779 + 0.321885i \(0.895683\pi\)
\(608\) −0.0124323 0.142102i −0.000504196 0.00576299i
\(609\) 1.78458 0.866372i 0.0723150 0.0351072i
\(610\) 13.6058 + 42.3854i 0.550882 + 1.71614i
\(611\) 5.79174 + 3.34386i 0.234309 + 0.135278i
\(612\) −10.5069 9.86975i −0.424715 0.398961i
\(613\) 16.3222 + 4.37352i 0.659247 + 0.176645i 0.572906 0.819621i \(-0.305816\pi\)
0.0863408 + 0.996266i \(0.472483\pi\)
\(614\) 8.28560 + 46.9900i 0.334380 + 1.89636i
\(615\) 1.85428 16.7748i 0.0747717 0.676426i
\(616\) −59.9034 + 21.8030i −2.41358 + 0.878469i
\(617\) −16.9077 24.1467i −0.680679 0.972111i −0.999703 0.0243643i \(-0.992244\pi\)
0.319024 0.947747i \(-0.396645\pi\)
\(618\) 9.85953 61.5239i 0.396608 2.47485i
\(619\) −26.5533 31.6450i −1.06727 1.27192i −0.960692 0.277615i \(-0.910456\pi\)
−0.106575 0.994305i \(-0.533988\pi\)
\(620\) 50.3091 + 6.35845i 2.02046 + 0.255362i
\(621\) 6.73835 0.909431i 0.270401 0.0364942i
\(622\) −9.97910 9.97910i −0.400126 0.400126i
\(623\) 14.5212 + 1.27044i 0.581780 + 0.0508991i
\(624\) 0.749853 + 7.26181i 0.0300182 + 0.290705i
\(625\) 15.6696 19.4798i 0.626783 0.779194i
\(626\) 9.89926 + 27.1980i 0.395654 + 1.08705i
\(627\) −2.36150 + 1.41308i −0.0943093 + 0.0564328i
\(628\) −55.7475 39.0348i −2.22457 1.55766i
\(629\) −0.525339 0.909914i −0.0209466 0.0362806i
\(630\) −19.6121 75.3586i −0.781364 3.00236i
\(631\) −9.08444 + 15.7347i −0.361646 + 0.626389i −0.988232 0.152963i \(-0.951118\pi\)
0.626586 + 0.779352i \(0.284452\pi\)
\(632\) −15.2596 + 7.11566i −0.606994 + 0.283046i
\(633\) −29.9029 34.5263i −1.18853 1.37230i
\(634\) 21.9246 26.1287i 0.870738 1.03770i
\(635\) −29.5447 1.13669i −1.17245 0.0451083i
\(636\) −37.2350 + 54.9864i −1.47646 + 2.18035i
\(637\) −6.59775 14.1489i −0.261412 0.560601i
\(638\) 1.55742 0.417310i 0.0616589 0.0165215i
\(639\) −3.84684 + 0.803010i −0.152178 + 0.0317666i
\(640\) −40.1323 16.3804i −1.58637 0.647491i
\(641\) 9.92814 1.75060i 0.392138 0.0691445i 0.0258971 0.999665i \(-0.491756\pi\)
0.366241 + 0.930520i \(0.380645\pi\)
\(642\) −18.4752 + 33.1872i −0.729159 + 1.30980i
\(643\) 11.3509 24.3420i 0.447635 0.959956i −0.544957 0.838464i \(-0.683454\pi\)
0.992592 0.121492i \(-0.0387680\pi\)
\(644\) 4.32495 24.5280i 0.170427 0.966540i
\(645\) −22.2395 + 36.5663i −0.875680 + 1.43980i
\(646\) −1.31501 + 1.10342i −0.0517384 + 0.0434136i
\(647\) −21.7838 + 21.7838i −0.856411 + 0.856411i −0.990913 0.134503i \(-0.957056\pi\)
0.134503 + 0.990913i \(0.457056\pi\)
\(648\) −41.6371 16.3326i −1.63566 0.641606i
\(649\) 32.3007i 1.26792i
\(650\) −5.38637 11.2455i −0.211271 0.441087i
\(651\) −18.8502 + 42.1311i −0.738796 + 1.65125i
\(652\) −35.6357 + 24.9524i −1.39560 + 0.977210i
\(653\) −21.7931 10.1623i −0.852830 0.397681i −0.0534961 0.998568i \(-0.517036\pi\)
−0.799334 + 0.600887i \(0.794814\pi\)
\(654\) −10.3891 36.4821i −0.406245 1.42656i
\(655\) −0.0644438 1.31920i −0.00251803 0.0515455i
\(656\) −15.6557 + 9.03883i −0.611253 + 0.352907i
\(657\) −5.86818 + 2.96306i −0.228939 + 0.115600i
\(658\) 19.7760 + 73.8049i 0.770947 + 2.87721i
\(659\) 7.76560 + 2.82645i 0.302505 + 0.110103i 0.488813 0.872389i \(-0.337430\pi\)
−0.186308 + 0.982491i \(0.559652\pi\)
\(660\) −2.72264 42.1919i −0.105979 1.64232i
\(661\) 16.2837 + 13.6636i 0.633361 + 0.531453i 0.901971 0.431796i \(-0.142120\pi\)
−0.268610 + 0.963249i \(0.586564\pi\)
\(662\) −77.2329 + 6.75701i −3.00174 + 0.262618i
\(663\) 1.58819 1.37551i 0.0616802 0.0534205i
\(664\) 16.3673 44.9689i 0.635176 1.74513i
\(665\) −6.13723 + 0.840336i −0.237991 + 0.0325868i
\(666\) −5.09174 4.00811i −0.197301 0.155311i
\(667\) −0.0820213 + 0.306108i −0.00317588 + 0.0118525i
\(668\) −2.42608 + 3.46481i −0.0938680 + 0.134057i
\(669\) −1.22632 + 4.88056i −0.0474124 + 0.188694i
\(670\) 9.48594 + 41.7636i 0.366474 + 1.61347i
\(671\) −21.6656 3.82023i −0.836392 0.147478i
\(672\) −1.25813 + 1.54788i −0.0485335 + 0.0597109i
\(673\) −2.53179 + 28.9385i −0.0975933 + 1.11550i 0.776625 + 0.629963i \(0.216930\pi\)
−0.874218 + 0.485533i \(0.838626\pi\)
\(674\) −8.33063 −0.320884
\(675\) 25.9691 + 0.779907i 0.999549 + 0.0300186i
\(676\) 48.1660 1.85254
\(677\) 0.368128 4.20773i 0.0141483 0.161716i −0.985834 0.167726i \(-0.946358\pi\)
0.999982 + 0.00601017i \(0.00191311\pi\)
\(678\) 13.6960 + 2.19485i 0.525991 + 0.0842928i
\(679\) −15.6340 2.75669i −0.599977 0.105792i
\(680\) −2.93860 12.9377i −0.112690 0.496139i
\(681\) 16.8390 + 16.3207i 0.645271 + 0.625410i
\(682\) −21.5174 + 30.7300i −0.823943 + 1.17671i
\(683\) 11.1859 41.7463i 0.428017 1.59738i −0.329230 0.944250i \(-0.606789\pi\)
0.757246 0.653130i \(-0.226544\pi\)
\(684\) −3.34315 + 6.23257i −0.127828 + 0.238308i
\(685\) −38.1070 + 5.21777i −1.45599 + 0.199361i
\(686\) 33.2133 91.2529i 1.26809 3.48405i
\(687\) 15.7320 + 5.44910i 0.600215 + 0.207896i
\(688\) 45.6686 3.99548i 1.74110 0.152326i
\(689\) −7.41441 6.22143i −0.282467 0.237018i
\(690\) 11.1511 + 5.51311i 0.424515 + 0.209881i
\(691\) 22.3741 + 8.14350i 0.851150 + 0.309793i 0.730509 0.682903i \(-0.239283\pi\)
0.120641 + 0.992696i \(0.461505\pi\)
\(692\) 19.0850 + 71.2264i 0.725505 + 2.70762i
\(693\) 37.4650 + 8.79359i 1.42318 + 0.334041i
\(694\) −74.3116 + 42.9038i −2.82083 + 1.62861i
\(695\) 1.30965 + 26.8094i 0.0496780 + 1.01694i
\(696\) 1.45079 1.49687i 0.0549922 0.0567386i
\(697\) 4.71526 + 2.19876i 0.178603 + 0.0832840i
\(698\) −44.6012 + 31.2301i −1.68818 + 1.18208i
\(699\) −18.1091 25.0209i −0.684949 0.946377i
\(700\) 31.6213 89.7607i 1.19517 3.39264i
\(701\) 15.2816i 0.577177i 0.957453 + 0.288588i \(0.0931859\pi\)
−0.957453 + 0.288588i \(0.906814\pi\)
\(702\) 5.94598 11.5134i 0.224417 0.434546i
\(703\) −0.364505 + 0.364505i −0.0137476 + 0.0137476i
\(704\) 15.9979 13.4239i 0.602945 0.505931i
\(705\) −25.4869 0.581863i −0.959891 0.0219142i
\(706\) −11.6824 + 66.2543i −0.439674 + 2.49352i
\(707\) −14.2126 + 30.4791i −0.534521 + 1.14628i
\(708\) 42.6247 + 71.2335i 1.60193 + 2.67712i
\(709\) −28.5077 + 5.02667i −1.07063 + 0.188781i −0.681068 0.732220i \(-0.738484\pi\)
−0.389561 + 0.921001i \(0.627373\pi\)
\(710\) −6.65634 2.71685i −0.249808 0.101961i
\(711\) 10.0600 + 1.45130i 0.377281 + 0.0544280i
\(712\) 14.7954 3.96442i 0.554481 0.148573i
\(713\) −3.11612 6.68254i −0.116700 0.250263i
\(714\) 23.9432 + 1.71818i 0.896053 + 0.0643012i
\(715\) 6.15767 + 0.236908i 0.230284 + 0.00885986i
\(716\) 21.8760 26.0708i 0.817544 0.974311i
\(717\) 41.3653 7.96230i 1.54481 0.297358i
\(718\) −5.14154 + 2.39754i −0.191881 + 0.0894755i
\(719\) 5.81410 10.0703i 0.216829 0.375559i −0.737008 0.675884i \(-0.763762\pi\)
0.953837 + 0.300325i \(0.0970951\pi\)
\(720\) −15.7976 22.9105i −0.588742 0.853825i
\(721\) 34.6565 + 60.0268i 1.29068 + 2.23552i
\(722\) −37.5119 26.2661i −1.39605 0.977524i
\(723\) 10.2240 + 5.69166i 0.380235 + 0.211675i
\(724\) −1.40928 3.87196i −0.0523755 0.143900i
\(725\) −0.500356 + 1.10269i −0.0185827 + 0.0409529i
\(726\) −14.1362 6.32477i −0.524643 0.234734i
\(727\) 41.2951 + 3.61286i 1.53155 + 0.133993i 0.821521 0.570178i \(-0.193126\pi\)
0.710030 + 0.704171i \(0.248681\pi\)
\(728\) −16.8845 16.8845i −0.625780 0.625780i
\(729\) 15.6301 + 22.0159i 0.578894 + 0.815403i
\(730\) −11.9318 1.50804i −0.441617 0.0558149i
\(731\) −8.48063 10.1068i −0.313668 0.373814i
\(732\) −52.8209 + 20.1655i −1.95232 + 0.745340i
\(733\) −3.88534 5.54883i −0.143508 0.204951i 0.740963 0.671546i \(-0.234369\pi\)
−0.884471 + 0.466595i \(0.845481\pi\)
\(734\) −71.9960 + 26.2044i −2.65742 + 0.967222i
\(735\) 47.9569 + 35.2380i 1.76892 + 1.29977i
\(736\) −0.0553335 0.313812i −0.00203962 0.0115673i
\(737\) −20.4443 5.47803i −0.753075 0.201786i
\(738\) 32.0372 + 1.79625i 1.17931 + 0.0661209i
\(739\) 29.8815 + 17.2521i 1.09921 + 0.634629i 0.936014 0.351964i \(-0.114486\pi\)
0.163197 + 0.986594i \(0.447819\pi\)
\(740\) −2.42055 7.54062i −0.0889812 0.277199i
\(741\) −0.853539 0.577988i −0.0313555 0.0212329i
\(742\) −9.63788 110.161i −0.353818 4.04415i
\(743\) 3.62044 + 41.3819i 0.132821 + 1.51815i 0.711551 + 0.702634i \(0.247993\pi\)
−0.578730 + 0.815519i \(0.696452\pi\)
\(744\) −3.47153 + 48.3766i −0.127273 + 1.77357i
\(745\) 10.0141 19.4826i 0.366889 0.713788i
\(746\) −68.9031 39.7812i −2.52272 1.45649i
\(747\) −23.1350 + 17.3015i −0.846466 + 0.633028i
\(748\) 12.5895 + 3.37336i 0.460319 + 0.123342i
\(749\) −7.33715 41.6110i −0.268093 1.52043i
\(750\) 38.5926 + 27.7463i 1.40920 + 1.01315i
\(751\) 23.6063 8.59199i 0.861406 0.313526i 0.126724 0.991938i \(-0.459554\pi\)
0.734682 + 0.678412i \(0.237331\pi\)
\(752\) 15.6627 + 22.3687i 0.571161 + 0.815703i
\(753\) 35.3956 + 28.7699i 1.28989 + 1.04843i
\(754\) 0.388210 + 0.462651i 0.0141378 + 0.0168488i
\(755\) 4.32337 34.2072i 0.157344 1.24493i
\(756\) 94.2265 30.0468i 3.42698 1.09279i
\(757\) −27.9350 27.9350i −1.01531 1.01531i −0.999881 0.0154328i \(-0.995087\pi\)
−0.0154328 0.999881i \(-0.504913\pi\)
\(758\) 11.8517 + 1.03689i 0.430473 + 0.0376615i
\(759\) −4.98015 + 3.60443i −0.180768 + 0.130832i
\(760\) −5.75812 + 3.03549i −0.208869 + 0.110109i
\(761\) −16.3639 44.9594i −0.593191 1.62978i −0.764546 0.644569i \(-0.777037\pi\)
0.171355 0.985209i \(-0.445186\pi\)
\(762\) −0.878515 56.2068i −0.0318252 2.03616i
\(763\) 34.5654 + 24.2029i 1.25135 + 0.876205i
\(764\) −8.06045 13.9611i −0.291617 0.505095i
\(765\) −2.79339 + 7.50623i −0.100995 + 0.271388i
\(766\) 15.1312 26.2080i 0.546713 0.946935i
\(767\) −10.9654 + 5.11326i −0.395938 + 0.184629i
\(768\) 18.2438 52.6716i 0.658318 1.90062i
\(769\) −4.81494 + 5.73823i −0.173631 + 0.206926i −0.845841 0.533435i \(-0.820901\pi\)
0.672210 + 0.740361i \(0.265345\pi\)
\(770\) 47.8327 + 51.6606i 1.72377 + 1.86172i
\(771\) −12.3013