Properties

Label 135.2.q.a.38.1
Level $135$
Weight $2$
Character 135.38
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 38.1
Character \(\chi\) \(=\) 135.38
Dual form 135.2.q.a.32.1

$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(e\left(\frac{3}{4}\right)\)

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 −0.570652 0.821192i \(-0.693310\pi\)
0.419384 0.907809i \(-0.362246\pi\)
\(3\) 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 0.880085 + 0.474816i \(0.157485\pi\)
0.145174 + 0.989406i \(0.453626\pi\)
\(8\) 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 0.997395 + 0.0721346i \(0.0229811\pi\)
−0.717682 + 0.696371i \(0.754797\pi\)
\(12\) −1.31762 + 6.84524i −0.380365 + 1.97605i
\(13\) 1.01214 + 0.0885504i 0.280716 + 0.0245595i 0.226644 0.973978i \(-0.427224\pi\)
0.0540717 + 0.998537i \(0.482780\pi\)
\(14\) 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 −0.993221 0.116240i \(-0.962916\pi\)
0.918275 + 0.395944i \(0.129583\pi\)
\(18\) −4.41001 + 5.89692i −1.03945 + 1.38992i
\(19\) −0.507294 0.292886i −0.116381 0.0671927i 0.440679 0.897665i \(-0.354738\pi\)
−0.557061 + 0.830472i \(0.688071\pi\)
\(20\) −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 0.456460 0.889744i \(-0.349117\pi\)
−0.679967 + 0.733242i \(0.738006\pi\)
\(24\) 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 0.659850 0.751397i \(-0.270620\pi\)
−0.625400 + 0.780304i \(0.715064\pi\)
\(30\) −4.56401 + 8.33904i −0.833270 + 1.52249i
\(31\) −0.978463 5.54914i −0.175737 0.996655i −0.937290 0.348552i \(-0.886674\pi\)
0.761552 0.648103i \(-0.224438\pi\)
\(32\) −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 0.328013 0.944673i \(-0.393621\pi\)
−0.188269 + 0.982117i \(0.560288\pi\)
\(38\) −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 0.501609 0.865095i \(-0.332742\pi\)
−0.939055 + 0.343766i \(0.888297\pi\)
\(42\) −6.58043 18.9983i −1.01538 2.93150i
\(43\) 10.0151 + 4.67013i 1.52729 + 0.712188i 0.991249 0.132002i \(-0.0421407\pi\)
0.536043 + 0.844191i \(0.319918\pi\)
\(44\) −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 −0.109908 0.993942i \(-0.535056\pi\)
0.896409 + 0.443228i \(0.146167\pi\)
\(48\) 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 −0.997397 0.0721125i \(-0.977026\pi\)
0.0721125 + 0.997397i \(0.477026\pi\)
\(54\) 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 −0.512354 0.858775i \(-0.671226\pi\)
−0.944495 + 0.328525i \(0.893449\pi\)
\(60\) 14.2737 + 6.26337i 1.84272 + 0.808598i
\(61\) −1.40842 + 7.98754i −0.180330 + 1.02270i 0.751481 + 0.659755i \(0.229340\pi\)
−0.931811 + 0.362945i \(0.881771\pi\)
\(62\) −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 0.834203 + 0.551458i \(0.185928\pi\)
−0.917289 + 0.398222i \(0.869627\pi\)
\(68\) 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 −0.431172 0.902270i \(-0.641900\pi\)
0.565803 + 0.824541i \(0.308566\pi\)
\(72\) 6.71985 13.3083i 0.791942 1.56840i
\(73\) 2.11661 0.567144i 0.247730 0.0663792i −0.132817 0.991141i \(-0.542402\pi\)
0.380547 + 0.924761i \(0.375736\pi\)
\(74\) 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 −0.874513 0.485002i \(-0.838819\pi\)
0.629491 + 0.777008i \(0.283263\pi\)
\(80\) −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 0.452495 0.891767i \(-0.350534\pi\)
0.600474 + 0.799644i \(0.294979\pi\)
\(84\) −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 −0.772713 0.634756i \(-0.781101\pi\)
0.936071 + 0.351811i \(0.114434\pi\)
\(90\) 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 −0.965071 0.261987i \(-0.915622\pi\)
0.821030 + 0.570886i \(0.193400\pi\)
\(98\) 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 −0.185996 0.982550i \(-0.559551\pi\)
−0.510831 + 0.859681i \(0.670662\pi\)
\(102\) 2.60630 4.35559i 0.258062 0.431268i
\(103\) −6.19401 13.2831i −0.610314 1.30882i −0.932166 0.362032i \(-0.882083\pi\)
0.321852 0.946790i \(-0.395695\pi\)
\(104\) 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 0.943140 0.332397i \(-0.107857\pi\)
−0.332397 + 0.943140i \(0.607857\pi\)
\(108\) 16.6325 12.6768i 1.60046 1.21983i
\(109\) 8.92248i 0.854618i −0.904106 0.427309i \(-0.859462\pi\)
0.904106 0.427309i \(-0.140538\pi\)
\(110\) −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 −0.556697 0.830716i \(-0.687931\pi\)
0.278527 + 0.960428i \(0.410154\pi\)
\(114\) 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 −0.934079 0.357065i \(-0.883777\pi\)
0.630404 0.776267i \(-0.282889\pi\)
\(128\) −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 −0.199002 0.979999i \(-0.563770\pi\)
0.148179 + 0.988961i \(0.452659\pi\)
\(132\) −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 −0.739756 0.672875i \(-0.765059\pi\)
0.611674 0.791110i \(-0.290496\pi\)
\(138\) 3.50887 + 4.31696i 0.298694 + 0.367484i
\(139\) 11.8215 2.08444i 1.00268 0.176800i 0.351878 0.936046i \(-0.385543\pi\)
0.650804 + 0.759246i \(0.274432\pi\)
\(140\) −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 −0.896163 0.443725i \(-0.853657\pi\)
0.281367 + 0.959600i \(0.409212\pi\)
\(150\) 15.9231 + 14.0820i 1.30011 + 1.14979i
\(151\) −14.4897 + 5.27382i −1.17916 + 0.429178i −0.855904 0.517135i \(-0.826998\pi\)
−0.323252 + 0.946313i \(0.604776\pi\)
\(152\) 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 0.299640 0.954052i \(-0.403134\pi\)
0.923451 + 0.383716i \(0.125356\pi\)
\(158\) 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 0.939957 0.341293i \(-0.110865\pi\)
−0.341293 + 0.939957i \(0.610865\pi\)
\(164\) 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 0.922743 0.385416i \(-0.125942\pi\)
−0.888373 + 0.459122i \(0.848164\pi\)
\(168\) 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 0.355985 + 0.934492i \(0.384145\pi\)
−0.944685 + 0.327979i \(0.893632\pi\)
\(174\) −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 0.663633 0.748058i \(-0.269014\pi\)
−0.979654 + 0.200694i \(0.935680\pi\)
\(180\) 18.9527 19.2275i 1.41265 1.43313i
\(181\) 0.511902 0.886641i 0.0380494 0.0659035i −0.846374 0.532590i \(-0.821219\pi\)
0.884423 + 0.466686i \(0.154552\pi\)
\(182\) 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 −0.664808 0.747014i \(-0.731487\pi\)
0.851108 + 0.524991i \(0.175931\pi\)
\(192\) −2.11018 13.1676i −0.152289 0.950289i
\(193\) −0.139991 + 0.199928i −0.0100768 + 0.0143911i −0.824159 0.566359i \(-0.808352\pi\)
0.814082 + 0.580750i \(0.197241\pi\)
\(194\) 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 −0.570735 0.821134i \(-0.693342\pi\)
−0.0837043 + 0.996491i \(0.526675\pi\)
\(198\) −19.1215 5.76983i −1.35891 0.410044i
\(199\) −4.26708 + 2.46360i −0.302486 + 0.174640i −0.643559 0.765397i \(-0.722543\pi\)
0.341073 + 0.940037i \(0.389210\pi\)
\(200\) 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 −0.709472 0.704734i \(-0.751066\pi\)
−0.996481 + 0.0838177i \(0.973289\pi\)
\(212\) 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 −0.491169 0.871064i \(-0.663430\pi\)
0.650543 + 0.759470i \(0.274541\pi\)
\(224\) 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 0.784769 0.619788i \(-0.212782\pi\)
0.0296545 + 0.999560i \(0.490559\pi\)
\(228\) 2.67330 3.08664i 0.177044 0.204417i
\(229\) 6.17868 + 7.36346i 0.408298 + 0.486591i 0.930532 0.366212i \(-0.119345\pi\)
−0.522233 + 0.852803i \(0.674901\pi\)
\(230\) 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 −0.354142 0.935192i \(-0.615227\pi\)
−0.774292 + 0.632829i \(0.781894\pi\)
\(234\) −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 0.744688 + 0.667412i \(0.232598\pi\)
−0.471510 + 0.881861i \(0.656291\pi\)
\(240\) −15.6105 3.80317i −1.00765 0.245494i
\(241\) 5.17529 + 4.34259i 0.333370 + 0.279731i 0.794071 0.607825i \(-0.207958\pi\)
−0.460701 + 0.887555i \(0.652402\pi\)
\(242\) −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 0.997817 0.0660346i \(-0.0210348\pi\)
0.441721 + 0.897152i \(0.354368\pi\)
\(252\) 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 −0.430158 0.902753i \(-0.641542\pi\)
−0.580385 + 0.814342i \(0.697098\pi\)
\(258\) −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 0.919893 0.392170i \(-0.128275\pi\)
−0.683141 + 0.730287i \(0.739387\pi\)
\(264\) 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 0.623216 0.782050i \(-0.285826\pi\)
−0.948039 + 0.318155i \(0.896937\pi\)
\(278\) −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 0.963108 0.269115i \(-0.0867311\pi\)
−0.910767 + 0.412920i \(0.864509\pi\)
\(282\) −26.4428 + 9.15897i −1.57464 + 0.545409i
\(283\) 17.8806 + 1.56435i 1.06289 + 0.0929908i 0.605163 0.796102i \(-0.293108\pi\)
0.457727 + 0.889093i \(0.348664\pi\)
\(284\) −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 −0.187630 0.982240i \(-0.560081\pi\)
−0.987177 + 0.159631i \(0.948970\pi\)
\(294\) 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 0.751180 0.660097i \(-0.229485\pi\)
0.320493 + 0.947251i \(0.396151\pi\)
\(308\) 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 0.651013 0.759067i \(-0.274344\pi\)
−0.860582 + 0.509312i \(0.829900\pi\)
\(312\) 8.58759 + 1.65300i 0.486177 + 0.0935829i
\(313\) 10.6871 + 4.98349i 0.604072 + 0.281683i 0.700495 0.713657i \(-0.252963\pi\)
−0.0964234 + 0.995340i \(0.530740\pi\)
\(314\) −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 −0.847769 0.530366i \(-0.822055\pi\)
0.208427 + 0.978038i \(0.433166\pi\)
\(318\) 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 −0.338185 0.941080i \(-0.609813\pi\)
0.639658 0.768659i \(-0.279076\pi\)
\(332\) −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 −0.983872 0.178872i \(-0.942755\pi\)
0.999986 0.00530714i \(-0.00168932\pi\)
\(338\) −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 0.255048 0.966928i \(-0.417909\pi\)
0.821384 0.570376i \(-0.193202\pi\)
\(348\) −1.31005 + 1.06482i −0.0702260 + 0.0570804i
\(349\) 14.2588 16.9930i 0.763258 0.909615i −0.234792 0.972046i \(-0.575441\pi\)
0.998049 + 0.0624307i \(0.0198853\pi\)
\(350\) −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 0.667028 0.745033i \(-0.267566\pi\)
0.786268 + 0.617886i \(0.212011\pi\)
\(354\) 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 −0.833917 0.551890i \(-0.813907\pi\)
0.894909 + 0.446248i \(0.147240\pi\)
\(360\) −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 −0.181259 0.983435i \(-0.558017\pi\)
0.869866 0.493288i \(-0.164205\pi\)
\(368\) −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 −0.847547 0.530721i \(-0.821921\pi\)
0.138237 0.990399i \(-0.455857\pi\)
\(374\) 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 \(0.0397282\pi\)
−0.992221 + 0.124486i \(0.960272\pi\)
\(380\) 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 −0.686589 0.727046i \(-0.740893\pi\)
0.115618 + 0.993294i \(0.463115\pi\)
\(384\) −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 −0.0393859 0.999224i \(-0.512540\pi\)
0.612118 + 0.790767i \(0.290318\pi\)
\(390\) −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 0.985360 + 0.170488i \(0.0545344\pi\)
−0.768103 + 0.640327i \(0.778799\pi\)
\(398\) 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 0.229905 0.973213i \(-0.426159\pi\)
0.548898 + 0.835889i \(0.315047\pi\)
\(402\) 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 −0.00612663 0.999981i \(-0.501950\pi\)
0.336257 + 0.941770i \(0.390839\pi\)
\(410\) 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 −0.00324717 0.999995i \(-0.501034\pi\)
0.984239 + 0.176845i \(0.0565892\pi\)
\(420\) 14.4544 + 72.2856i 0.705301 + 3.52718i
\(421\) −8.48131 + 3.08694i −0.413354 + 0.150448i −0.540322 0.841458i \(-0.681698\pi\)
0.126968 + 0.991907i \(0.459475\pi\)
\(422\) −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 \(0.224635\pi\)
−0.761151 + 0.648575i \(0.775365\pi\)
\(432\) −14.6149 + 15.8455i −0.703157 + 0.762368i
\(433\) −0.461356 0.461356i −0.0221714 0.0221714i 0.695934 0.718106i \(-0.254991\pi\)
−0.718106 + 0.695934i \(0.754991\pi\)
\(434\) −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 0.141866 0.989886i \(-0.454690\pi\)
−0.205251 + 0.978709i \(0.565801\pi\)
\(440\) 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 0.295278 + 0.955411i \(0.404588\pi\)
−0.921689 + 0.387930i \(0.873190\pi\)
\(444\) −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 0.999318 0.0369176i \(-0.0117539\pi\)
−0.531631 + 0.846976i \(0.678421\pi\)
\(450\) 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 −0.390422 0.920636i \(-0.627671\pi\)
−0.224624 + 0.974446i \(0.572115\pi\)
\(458\) 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 −0.845563 0.533876i \(-0.820735\pi\)
0.672596 + 0.740010i \(0.265179\pi\)
\(462\) 42.3190 34.3973i 1.96886 1.60031i
\(463\) 8.45389 12.0734i 0.392885 0.561099i −0.573169 0.819437i \(-0.694286\pi\)
0.966054 + 0.258339i \(0.0831750\pi\)
\(464\) 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 −0.723177 0.690663i \(-0.757319\pi\)
−0.280958 + 0.959720i \(0.590652\pi\)
\(468\) 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 −0.756878 0.653556i \(-0.773276\pi\)
0.934762 0.355274i \(-0.115613\pi\)
\(480\) −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 −0.967541 0.252714i \(-0.918677\pi\)
0.252714 + 0.967541i \(0.418677\pi\)
\(488\) −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 −0.832687 0.553744i \(-0.813199\pi\)
0.993815 + 0.111048i \(0.0354208\pi\)
\(492\) 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 0.862551 0.505970i \(-0.168865\pi\)
−0.648063 + 0.761586i \(0.724421\pi\)
\(500\) 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 0.706556 0.707657i \(-0.250248\pi\)
0.258067 + 0.966127i \(0.416914\pi\)
\(504\) 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 −0.662196 0.749331i \(-0.730375\pi\)
0.365975 0.930625i \(-0.380736\pi\)
\(510\) −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 −0.425529 0.904945i \(-0.639912\pi\)
−0.996470 + 0.0839530i \(0.973245\pi\)
\(522\) −1.73613 + 0.407495i −0.0759882 + 0.0178356i
\(523\) −5.44201 + 20.3099i −0.237962 + 0.888088i 0.738829 + 0.673893i \(0.235379\pi\)
−0.976791 + 0.214195i \(0.931287\pi\)
\(524\) 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 0.662152 0.749369i \(-0.269643\pi\)
−0.930646 + 0.365920i \(0.880754\pi\)
\(548\) 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 −0.960856 0.277050i \(-0.910643\pi\)
0.970650 + 0.240496i \(0.0773100\pi\)
\(558\) 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 0.995527 0.0944822i \(-0.0301195\pi\)
0.251706 + 0.967804i \(0.419008\pi\)
\(564\) 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 0.743345 0.668908i \(-0.233238\pi\)
−0.529666 + 0.848206i \(0.677683\pi\)
\(570\) 4.75769 2.89361i 0.199278 0.121200i
\(571\) 1.91569 + 10.8644i 0.0801693 + 0.454663i 0.998295 + 0.0583730i \(0.0185913\pi\)
−0.918126 + 0.396290i \(0.870298\pi\)
\(572\) −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 0.813960 0.580921i \(-0.197308\pi\)
0.414449 + 0.910073i \(0.363974\pi\)
\(578\) 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 −0.586867 0.809683i \(-0.699639\pi\)
0.560133 + 0.828403i \(0.310750\pi\)
\(588\) −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 0.159029 0.987274i \(-0.449164\pi\)
0.987274 0.159029i \(-0.0508363\pi\)
\(594\) −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 0.939663 0.342101i \(-0.111139\pi\)
0.499925 + 0.866068i \(0.333361\pi\)
\(600\) −36.6998 22.4799i −1.49826 0.917738i
\(601\) 0.988708 5.60724i 0.0403302 0.228724i −0.957980 0.286835i \(-0.907397\pi\)
0.998310 + 0.0581113i \(0.0185078\pi\)
\(602\) 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 −0.946779 0.321885i \(-0.895683\pi\)
0.988290 0.152589i \(-0.0487610\pi\)
\(608\) −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 0.0863408 0.996266i \(-0.472483\pi\)
0.572906 + 0.819621i \(0.305816\pi\)
\(614\) 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 0.319024 + 0.947747i \(0.396645\pi\)
−0.999703 + 0.0243643i \(0.992244\pi\)
\(618\) 9.85953 + 61.5239i 0.396608 + 2.47485i
\(619\) −26.5533 + 31.6450i −1.06727 + 1.27192i −0.106575 + 0.994305i \(0.533988\pi\)
−0.960692 + 0.277615i \(0.910456\pi\)
\(620\) 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 0.626586 0.779352i \(-0.284452\pi\)
−0.988232 + 0.152963i \(0.951118\pi\)
\(632\) −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 0.366241 0.930520i \(-0.380645\pi\)
0.0258971 + 0.999665i \(0.491756\pi\)
\(642\) −18.4752 33.1872i −0.729159 1.30980i
\(643\) 11.3509 + 24.3420i 0.447635 + 0.959956i 0.992592 + 0.121492i \(0.0387680\pi\)
−0.544957 + 0.838464i \(0.683454\pi\)
\(644\) 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 0.134503 0.990913i \(-0.457056\pi\)
−0.990913 + 0.134503i \(0.957056\pi\)
\(648\) −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 −0.799334 0.600887i \(-0.794814\pi\)
−0.0534961 + 0.998568i \(0.517036\pi\)
\(654\) −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 −0.186308 0.982491i \(-0.559652\pi\)
0.488813 + 0.872389i \(0.337430\pi\)
\(660\) −2.72264 + 42.1919i −0.105979 + 1.64232i
\(661\) 16.2837 13.6636i 0.633361 0.531453i −0.268610 0.963249i \(-0.586564\pi\)
0.901971 + 0.431796i \(0.142120\pi\)
\(662\) −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 −0.874218 0.485533i \(-0.838626\pi\)
0.776625 0.629963i \(-0.216930\pi\)
\(674\) −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 0.999982 0.00601017i \(-0.00191311\pi\)
−0.985834 + 0.167726i \(0.946358\pi\)
\(678\) 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 0.757246 + 0.653130i \(0.226544\pi\)
−0.329230 + 0.944250i \(0.606789\pi\)
\(684\) −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 0.120641 0.992696i \(-0.461505\pi\)
0.730509 + 0.682903i \(0.239283\pi\)
\(692\) 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 \(-0.906814\pi\)
0.957453 0.288588i \(-0.0931859\pi\)
\(702\) 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 −0.389561 0.921001i \(-0.627373\pi\)
−0.681068 + 0.732220i \(0.738484\pi\)
\(710\) −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 0.953837 0.300325i \(-0.0970951\pi\)
−0.737008 + 0.675884i \(0.763762\pi\)
\(720\) −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 0.710030 0.704171i \(-0.248681\pi\)
0.821521 + 0.570178i \(0.193126\pi\)
\(728\) −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 −0.884471 0.466595i \(-0.845481\pi\)
0.740963 + 0.671546i \(0.234369\pi\)
\(734\) −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 0.163197 0.986594i \(-0.447819\pi\)
0.936014 + 0.351964i \(0.114486\pi\)
\(740\) −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 −0.578730 0.815519i \(-0.696452\pi\)
0.711551 0.702634i \(-0.247993\pi\)
\(744\) −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 0.734682 0.678412i \(-0.237331\pi\)
0.126724 + 0.991938i \(0.459554\pi\)
\(752\) 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 −0.0154328 + 0.999881i \(0.504913\pi\)
−0.999881 + 0.0154328i \(0.995087\pi\)
\(758\) 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 0.171355 + 0.985209i \(0.445186\pi\)
−0.764546 + 0.644569i \(0.777037\pi\)
\(762\) −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 0.672210 0.740361i \(-0.265345\pi\)
−0.845841 + 0.533435i \(0.820901\pi\)
\(770\) 47.8327 51.6606i 1.72377 1.86172i