Properties

Label 225.2.q.a.16.12
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.12
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.808045 + 0.359765i) q^{2} +(0.558868 + 1.63941i) q^{3} +(-0.814755 + 0.904878i) q^{4} +(1.09577 + 1.94918i) q^{5} +(-1.04139 - 1.12366i) q^{6} +(-0.458035 + 0.793340i) q^{7} +(0.879476 - 2.70675i) q^{8} +(-2.37533 + 1.83243i) q^{9} +O(q^{10})\) \(q+(-0.808045 + 0.359765i) q^{2} +(0.558868 + 1.63941i) q^{3} +(-0.814755 + 0.904878i) q^{4} +(1.09577 + 1.94918i) q^{5} +(-1.04139 - 1.12366i) q^{6} +(-0.458035 + 0.793340i) q^{7} +(0.879476 - 2.70675i) q^{8} +(-2.37533 + 1.83243i) q^{9} +(-1.58668 - 1.18080i) q^{10} +(1.33506 - 0.594408i) q^{11} +(-1.93881 - 0.830012i) q^{12} +(-1.67311 - 0.744918i) q^{13} +(0.0846971 - 0.805839i) q^{14} +(-2.58311 + 2.88575i) q^{15} +(0.00858220 + 0.0816542i) q^{16} +(1.50326 - 4.62656i) q^{17} +(1.26013 - 2.33524i) q^{18} +(-2.04373 + 6.28996i) q^{19} +(-2.65655 - 0.596562i) q^{20} +(-1.55659 - 0.307535i) q^{21} +(-0.864943 + 0.960617i) q^{22} +(-0.0683526 + 0.650331i) q^{23} +(4.92898 - 0.0708924i) q^{24} +(-2.59857 + 4.27170i) q^{25} +1.61995 q^{26} +(-4.33160 - 2.87006i) q^{27} +(-0.344689 - 1.06084i) q^{28} +(6.29829 + 1.33874i) q^{29} +(1.04907 - 3.26113i) q^{30} +(2.87587 - 0.611285i) q^{31} +(2.80973 + 4.86660i) q^{32} +(1.72060 + 1.85652i) q^{33} +(0.449771 + 4.27929i) q^{34} +(-2.04826 - 0.0234710i) q^{35} +(0.277194 - 3.64237i) q^{36} +(-4.86137 + 3.53200i) q^{37} +(-0.611478 - 5.81783i) q^{38} +(0.286177 - 3.15923i) q^{39} +(6.23963 - 1.25173i) q^{40} +(2.26096 + 1.00664i) q^{41} +(1.36844 - 0.311504i) q^{42} +(2.01308 - 3.48676i) q^{43} +(-0.549883 + 1.69237i) q^{44} +(-6.17455 - 2.62202i) q^{45} +(-0.178734 - 0.550087i) q^{46} +(5.26308 + 1.11870i) q^{47} +(-0.129068 + 0.0597036i) q^{48} +(3.08041 + 5.33542i) q^{49} +(0.562952 - 4.38660i) q^{50} +(8.42495 - 0.121174i) q^{51} +(2.03724 - 0.907036i) q^{52} +(-3.46201 - 10.6550i) q^{53} +(4.53267 + 0.760783i) q^{54} +(2.62153 + 1.95093i) q^{55} +(1.74454 + 1.93751i) q^{56} +(-11.4540 + 0.164740i) q^{57} +(-5.57093 + 1.18414i) q^{58} +(1.82813 + 0.813937i) q^{59} +(-0.506651 - 4.68858i) q^{60} +(11.5472 - 5.14113i) q^{61} +(-2.10391 + 1.52858i) q^{62} +(-0.365752 - 2.72376i) q^{63} +(-4.15407 - 3.01811i) q^{64} +(-0.381374 - 4.07745i) q^{65} +(-2.05823 - 0.881139i) q^{66} +(8.34092 - 1.77292i) q^{67} +(2.96168 + 5.12978i) q^{68} +(-1.10436 + 0.251391i) q^{69} +(1.66353 - 0.717926i) q^{70} +(5.09668 + 15.6860i) q^{71} +(2.87087 + 8.04101i) q^{72} +(-2.01962 - 1.46734i) q^{73} +(2.65752 - 4.60296i) q^{74} +(-8.45533 - 1.87280i) q^{75} +(-4.02650 - 6.97410i) q^{76} +(-0.139938 + 1.33142i) q^{77} +(0.905335 + 2.65576i) q^{78} +(-6.05809 - 1.28769i) q^{79} +(-0.149754 + 0.106203i) q^{80} +(2.28442 - 8.70525i) q^{81} -2.18911 q^{82} +(2.67975 + 2.97617i) q^{83} +(1.54652 - 1.15796i) q^{84} +(10.6652 - 2.13954i) q^{85} +(-0.372247 + 3.54169i) q^{86} +(1.32516 + 11.0737i) q^{87} +(-0.434758 - 4.13645i) q^{88} +(-11.4149 - 8.29340i) q^{89} +(5.93262 - 0.102674i) q^{90} +(1.35732 - 0.986149i) q^{91} +(-0.532779 - 0.591712i) q^{92} +(2.60938 + 4.37310i) q^{93} +(-4.65527 + 0.989508i) q^{94} +(-14.4997 + 2.90877i) q^{95} +(-6.40809 + 7.32609i) q^{96} +(-5.89193 - 1.25237i) q^{97} +(-4.40860 - 3.20304i) q^{98} +(-2.08201 + 3.85832i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.808045 + 0.359765i −0.571374 + 0.254392i −0.672023 0.740530i \(-0.734575\pi\)
0.100649 + 0.994922i \(0.467908\pi\)
\(3\) 0.558868 + 1.63941i 0.322662 + 0.946514i
\(4\) −0.814755 + 0.904878i −0.407378 + 0.452439i
\(5\) 1.09577 + 1.94918i 0.490044 + 0.871698i
\(6\) −1.04139 1.12366i −0.425147 0.458731i
\(7\) −0.458035 + 0.793340i −0.173121 + 0.299854i −0.939509 0.342523i \(-0.888718\pi\)
0.766388 + 0.642377i \(0.222052\pi\)
\(8\) 0.879476 2.70675i 0.310942 0.956981i
\(9\) −2.37533 + 1.83243i −0.791778 + 0.610809i
\(10\) −1.58668 1.18080i −0.501751 0.373402i
\(11\) 1.33506 0.594408i 0.402536 0.179221i −0.195474 0.980709i \(-0.562625\pi\)
0.598011 + 0.801488i \(0.295958\pi\)
\(12\) −1.93881 0.830012i −0.559685 0.239604i
\(13\) −1.67311 0.744918i −0.464038 0.206603i 0.161381 0.986892i \(-0.448405\pi\)
−0.625419 + 0.780289i \(0.715072\pi\)
\(14\) 0.0846971 0.805839i 0.0226362 0.215370i
\(15\) −2.58311 + 2.88575i −0.666955 + 0.745098i
\(16\) 0.00858220 + 0.0816542i 0.00214555 + 0.0204135i
\(17\) 1.50326 4.62656i 0.364594 1.12211i −0.585641 0.810571i \(-0.699157\pi\)
0.950235 0.311535i \(-0.100843\pi\)
\(18\) 1.26013 2.33524i 0.297016 0.550422i
\(19\) −2.04373 + 6.28996i −0.468864 + 1.44301i 0.385193 + 0.922836i \(0.374135\pi\)
−0.854057 + 0.520179i \(0.825865\pi\)
\(20\) −2.65655 0.596562i −0.594023 0.133395i
\(21\) −1.55659 0.307535i −0.339676 0.0671097i
\(22\) −0.864943 + 0.960617i −0.184406 + 0.204804i
\(23\) −0.0683526 + 0.650331i −0.0142525 + 0.135603i −0.999334 0.0364836i \(-0.988384\pi\)
0.985082 + 0.172087i \(0.0550510\pi\)
\(24\) 4.92898 0.0708924i 1.00612 0.0144708i
\(25\) −2.59857 + 4.27170i −0.519714 + 0.854341i
\(26\) 1.61995 0.317697
\(27\) −4.33160 2.87006i −0.833616 0.552344i
\(28\) −0.344689 1.06084i −0.0651401 0.200481i
\(29\) 6.29829 + 1.33874i 1.16956 + 0.248598i 0.751446 0.659795i \(-0.229357\pi\)
0.418117 + 0.908393i \(0.362690\pi\)
\(30\) 1.04907 3.26113i 0.191534 0.595398i
\(31\) 2.87587 0.611285i 0.516521 0.109790i 0.0577267 0.998332i \(-0.481615\pi\)
0.458794 + 0.888542i \(0.348281\pi\)
\(32\) 2.80973 + 4.86660i 0.496695 + 0.860302i
\(33\) 1.72060 + 1.85652i 0.299518 + 0.323179i
\(34\) 0.449771 + 4.27929i 0.0771351 + 0.733892i
\(35\) −2.04826 0.0234710i −0.346219 0.00396732i
\(36\) 0.277194 3.64237i 0.0461990 0.607061i
\(37\) −4.86137 + 3.53200i −0.799205 + 0.580656i −0.910681 0.413111i \(-0.864442\pi\)
0.111476 + 0.993767i \(0.464442\pi\)
\(38\) −0.611478 5.81783i −0.0991949 0.943776i
\(39\) 0.286177 3.15923i 0.0458250 0.505882i
\(40\) 6.23963 1.25173i 0.986573 0.197915i
\(41\) 2.26096 + 1.00664i 0.353103 + 0.157212i 0.575620 0.817717i \(-0.304761\pi\)
−0.222517 + 0.974929i \(0.571427\pi\)
\(42\) 1.36844 0.311504i 0.211154 0.0480661i
\(43\) 2.01308 3.48676i 0.306992 0.531725i −0.670711 0.741719i \(-0.734011\pi\)
0.977703 + 0.209993i \(0.0673443\pi\)
\(44\) −0.549883 + 1.69237i −0.0828980 + 0.255134i
\(45\) −6.17455 2.62202i −0.920447 0.390868i
\(46\) −0.178734 0.550087i −0.0263529 0.0811060i
\(47\) 5.26308 + 1.11870i 0.767699 + 0.163179i 0.575083 0.818095i \(-0.304970\pi\)
0.192615 + 0.981274i \(0.438303\pi\)
\(48\) −0.129068 + 0.0597036i −0.0186294 + 0.00861748i
\(49\) 3.08041 + 5.33542i 0.440058 + 0.762203i
\(50\) 0.562952 4.38660i 0.0796134 0.620359i
\(51\) 8.42495 0.121174i 1.17973 0.0169678i
\(52\) 2.03724 0.907036i 0.282514 0.125783i
\(53\) −3.46201 10.6550i −0.475543 1.46357i −0.845223 0.534413i \(-0.820533\pi\)
0.369680 0.929159i \(-0.379467\pi\)
\(54\) 4.53267 + 0.760783i 0.616819 + 0.103529i
\(55\) 2.62153 + 1.95093i 0.353487 + 0.263064i
\(56\) 1.74454 + 1.93751i 0.233124 + 0.258911i
\(57\) −11.4540 + 0.164740i −1.51712 + 0.0218203i
\(58\) −5.57093 + 1.18414i −0.731499 + 0.155485i
\(59\) 1.82813 + 0.813937i 0.238003 + 0.105966i 0.522272 0.852779i \(-0.325084\pi\)
−0.284270 + 0.958744i \(0.591751\pi\)
\(60\) −0.506651 4.68858i −0.0654084 0.605293i
\(61\) 11.5472 5.14113i 1.47846 0.658254i 0.500255 0.865878i \(-0.333240\pi\)
0.978209 + 0.207624i \(0.0665730\pi\)
\(62\) −2.10391 + 1.52858i −0.267197 + 0.194130i
\(63\) −0.365752 2.72376i −0.0460804 0.343162i
\(64\) −4.15407 3.01811i −0.519259 0.377264i
\(65\) −0.381374 4.07745i −0.0473037 0.505745i
\(66\) −2.05823 0.881139i −0.253351 0.108461i
\(67\) 8.34092 1.77292i 1.01901 0.216596i 0.332024 0.943271i \(-0.392269\pi\)
0.686982 + 0.726675i \(0.258935\pi\)
\(68\) 2.96168 + 5.12978i 0.359156 + 0.622077i
\(69\) −1.10436 + 0.251391i −0.132949 + 0.0302639i
\(70\) 1.66353 0.717926i 0.198830 0.0858086i
\(71\) 5.09668 + 15.6860i 0.604865 + 1.86158i 0.497717 + 0.867340i \(0.334172\pi\)
0.107148 + 0.994243i \(0.465828\pi\)
\(72\) 2.87087 + 8.04101i 0.338336 + 0.947642i
\(73\) −2.01962 1.46734i −0.236378 0.171739i 0.463290 0.886207i \(-0.346669\pi\)
−0.699668 + 0.714468i \(0.746669\pi\)
\(74\) 2.65752 4.60296i 0.308931 0.535083i
\(75\) −8.45533 1.87280i −0.976337 0.216253i
\(76\) −4.02650 6.97410i −0.461871 0.799984i
\(77\) −0.139938 + 1.33142i −0.0159474 + 0.151729i
\(78\) 0.905335 + 2.65576i 0.102509 + 0.300705i
\(79\) −6.05809 1.28769i −0.681589 0.144876i −0.145910 0.989298i \(-0.546611\pi\)
−0.535679 + 0.844422i \(0.679944\pi\)
\(80\) −0.149754 + 0.106203i −0.0167430 + 0.0118738i
\(81\) 2.28442 8.70525i 0.253825 0.967250i
\(82\) −2.18911 −0.241747
\(83\) 2.67975 + 2.97617i 0.294141 + 0.326677i 0.872043 0.489430i \(-0.162795\pi\)
−0.577902 + 0.816106i \(0.696128\pi\)
\(84\) 1.54652 1.15796i 0.168739 0.126344i
\(85\) 10.6652 2.13954i 1.15680 0.232065i
\(86\) −0.372247 + 3.54169i −0.0401404 + 0.381910i
\(87\) 1.32516 + 11.0737i 0.142072 + 1.18722i
\(88\) −0.434758 4.13645i −0.0463454 0.440947i
\(89\) −11.4149 8.29340i −1.20998 0.879098i −0.214746 0.976670i \(-0.568893\pi\)
−0.995229 + 0.0975715i \(0.968893\pi\)
\(90\) 5.93262 0.102674i 0.625353 0.0108228i
\(91\) 1.35732 0.986149i 0.142285 0.103376i
\(92\) −0.532779 0.591712i −0.0555461 0.0616902i
\(93\) 2.60938 + 4.37310i 0.270580 + 0.453469i
\(94\) −4.65527 + 0.989508i −0.480155 + 0.102060i
\(95\) −14.4997 + 2.90877i −1.48764 + 0.298433i
\(96\) −6.40809 + 7.32609i −0.654023 + 0.747716i
\(97\) −5.89193 1.25237i −0.598235 0.127159i −0.101166 0.994870i \(-0.532257\pi\)
−0.497069 + 0.867711i \(0.665591\pi\)
\(98\) −4.40860 3.20304i −0.445336 0.323556i
\(99\) −2.08201 + 3.85832i −0.209250 + 0.387776i
\(100\) −1.74817 5.83178i −0.174817 0.583178i
\(101\) −1.94183 + 3.36335i −0.193219 + 0.334666i −0.946315 0.323245i \(-0.895226\pi\)
0.753096 + 0.657911i \(0.228560\pi\)
\(102\) −6.76414 + 3.12891i −0.669750 + 0.309809i
\(103\) −8.86425 + 9.84474i −0.873420 + 0.970031i −0.999759 0.0219558i \(-0.993011\pi\)
0.126339 + 0.991987i \(0.459677\pi\)
\(104\) −3.48777 + 3.87356i −0.342004 + 0.379834i
\(105\) −1.10623 3.37106i −0.107957 0.328981i
\(106\) 6.63074 + 7.36418i 0.644034 + 0.715273i
\(107\) 0.575014 0.0555887 0.0277944 0.999614i \(-0.491152\pi\)
0.0277944 + 0.999614i \(0.491152\pi\)
\(108\) 6.12625 1.58117i 0.589499 0.152148i
\(109\) 10.4238 7.57330i 0.998415 0.725391i 0.0366673 0.999328i \(-0.488326\pi\)
0.961748 + 0.273936i \(0.0883258\pi\)
\(110\) −2.82019 0.633309i −0.268895 0.0603836i
\(111\) −8.50726 5.99587i −0.807473 0.569103i
\(112\) −0.0687104 0.0305919i −0.00649253 0.00289066i
\(113\) 6.68184 + 2.97495i 0.628575 + 0.279859i 0.696196 0.717852i \(-0.254874\pi\)
−0.0676216 + 0.997711i \(0.521541\pi\)
\(114\) 9.19607 4.25386i 0.861291 0.398411i
\(115\) −1.34251 + 0.579383i −0.125190 + 0.0540278i
\(116\) −6.34297 + 4.60843i −0.588930 + 0.427882i
\(117\) 5.33921 1.29643i 0.493610 0.119855i
\(118\) −1.77004 −0.162945
\(119\) 2.98189 + 3.31172i 0.273349 + 0.303585i
\(120\) 5.53922 + 9.52977i 0.505660 + 0.869945i
\(121\) −5.93137 + 6.58745i −0.539215 + 0.598859i
\(122\) −7.48103 + 8.30853i −0.677301 + 0.752219i
\(123\) −0.386726 + 4.26923i −0.0348699 + 0.384943i
\(124\) −1.78999 + 3.10036i −0.160746 + 0.278420i
\(125\) −11.1737 0.384254i −0.999409 0.0343687i
\(126\) 1.27546 + 2.06934i 0.113627 + 0.184351i
\(127\) 8.89523 + 6.46276i 0.789324 + 0.573477i 0.907763 0.419484i \(-0.137789\pi\)
−0.118439 + 0.992961i \(0.537789\pi\)
\(128\) −6.55086 1.39243i −0.579019 0.123074i
\(129\) 6.84127 + 1.35163i 0.602340 + 0.119004i
\(130\) 1.77509 + 3.15756i 0.155686 + 0.276936i
\(131\) −9.44760 + 2.00815i −0.825441 + 0.175453i −0.601218 0.799085i \(-0.705318\pi\)
−0.224223 + 0.974538i \(0.571984\pi\)
\(132\) −3.08179 + 0.0443247i −0.268236 + 0.00385797i
\(133\) −4.05397 4.50239i −0.351524 0.390407i
\(134\) −6.10200 + 4.43336i −0.527133 + 0.382984i
\(135\) 0.847812 11.5880i 0.0729681 0.997334i
\(136\) −11.2009 8.13790i −0.960465 0.697819i
\(137\) −2.04237 19.4319i −0.174492 1.66018i −0.634992 0.772518i \(-0.718997\pi\)
0.460501 0.887659i \(-0.347670\pi\)
\(138\) 0.801930 0.600445i 0.0682648 0.0511133i
\(139\) −1.68243 + 16.0073i −0.142702 + 1.35772i 0.655438 + 0.755249i \(0.272484\pi\)
−0.798140 + 0.602472i \(0.794183\pi\)
\(140\) 1.69007 1.83430i 0.142837 0.155027i
\(141\) 1.10735 + 9.25355i 0.0932559 + 0.779289i
\(142\) −9.76161 10.8414i −0.819176 0.909787i
\(143\) −2.67649 −0.223820
\(144\) −0.170011 0.178230i −0.0141676 0.0148525i
\(145\) 4.29204 + 13.7434i 0.356435 + 1.14133i
\(146\) 2.15984 + 0.459087i 0.178749 + 0.0379943i
\(147\) −7.02541 + 8.03185i −0.579446 + 0.662456i
\(148\) 0.764808 7.27666i 0.0628668 0.598138i
\(149\) −5.73913 9.94047i −0.470168 0.814355i 0.529250 0.848466i \(-0.322473\pi\)
−0.999418 + 0.0341109i \(0.989140\pi\)
\(150\) 7.50605 1.52862i 0.612867 0.124811i
\(151\) 7.22503 12.5141i 0.587964 1.01838i −0.406534 0.913636i \(-0.633263\pi\)
0.994499 0.104749i \(-0.0334038\pi\)
\(152\) 15.2279 + 11.0637i 1.23515 + 0.897387i
\(153\) 4.90709 + 13.7442i 0.396715 + 1.11116i
\(154\) −0.365921 1.12619i −0.0294868 0.0907510i
\(155\) 4.34280 + 4.93574i 0.348822 + 0.396448i
\(156\) 2.62555 + 2.83295i 0.210212 + 0.226818i
\(157\) −11.2855 19.5471i −0.900683 1.56003i −0.826610 0.562776i \(-0.809733\pi\)
−0.0740732 0.997253i \(-0.523600\pi\)
\(158\) 5.35848 1.13898i 0.426298 0.0906123i
\(159\) 15.5331 11.6304i 1.23185 0.922348i
\(160\) −6.40703 + 10.8093i −0.506520 + 0.854554i
\(161\) −0.484626 0.352101i −0.0381939 0.0277495i
\(162\) 1.28593 + 7.85609i 0.101032 + 0.617233i
\(163\) 13.3225 9.67938i 1.04350 0.758148i 0.0725352 0.997366i \(-0.476891\pi\)
0.970966 + 0.239218i \(0.0768910\pi\)
\(164\) −2.75302 + 1.22572i −0.214975 + 0.0957130i
\(165\) −1.73330 + 5.38808i −0.134937 + 0.419461i
\(166\) −3.23608 1.44080i −0.251168 0.111827i
\(167\) 20.1378 4.28042i 1.55831 0.331229i 0.653461 0.756960i \(-0.273316\pi\)
0.904850 + 0.425731i \(0.139983\pi\)
\(168\) −2.20141 + 3.94283i −0.169842 + 0.304196i
\(169\) −6.45429 7.16822i −0.496484 0.551402i
\(170\) −7.84823 + 5.56580i −0.601932 + 0.426878i
\(171\) −6.67134 18.6857i −0.510170 1.42893i
\(172\) 1.51492 + 4.66244i 0.115512 + 0.355508i
\(173\) 20.0490 8.92638i 1.52430 0.678660i 0.537894 0.843012i \(-0.319220\pi\)
0.986402 + 0.164352i \(0.0525533\pi\)
\(174\) −5.05470 8.47127i −0.383196 0.642205i
\(175\) −2.19868 4.01814i −0.166204 0.303743i
\(176\) 0.0599937 + 0.103912i 0.00452219 + 0.00783267i
\(177\) −0.312693 + 3.45194i −0.0235034 + 0.259464i
\(178\) 12.2074 + 2.59476i 0.914984 + 0.194486i
\(179\) −3.58817 11.0432i −0.268192 0.825410i −0.990941 0.134299i \(-0.957122\pi\)
0.722749 0.691111i \(-0.242878\pi\)
\(180\) 7.40335 3.45090i 0.551813 0.257215i
\(181\) 4.13289 12.7197i 0.307196 0.945451i −0.671653 0.740866i \(-0.734415\pi\)
0.978849 0.204585i \(-0.0655845\pi\)
\(182\) −0.741991 + 1.28517i −0.0550001 + 0.0952629i
\(183\) 14.8818 + 16.0573i 1.10009 + 1.18699i
\(184\) 1.70017 + 0.756964i 0.125338 + 0.0558041i
\(185\) −12.2114 5.60541i −0.897803 0.412118i
\(186\) −3.68178 2.59490i −0.269961 0.190267i
\(187\) −0.743118 7.07029i −0.0543422 0.517031i
\(188\) −5.30041 + 3.85097i −0.386572 + 0.280861i
\(189\) 4.26096 2.12184i 0.309939 0.154341i
\(190\) 10.6699 7.56689i 0.774078 0.548960i
\(191\) −0.737405 7.01594i −0.0533568 0.507656i −0.988263 0.152761i \(-0.951183\pi\)
0.934906 0.354895i \(-0.115483\pi\)
\(192\) 2.62634 8.49695i 0.189540 0.613214i
\(193\) −2.80358 4.85594i −0.201806 0.349538i 0.747304 0.664482i \(-0.231348\pi\)
−0.949110 + 0.314944i \(0.898014\pi\)
\(194\) 5.21151 1.10774i 0.374164 0.0795311i
\(195\) 6.47148 2.90398i 0.463432 0.207959i
\(196\) −7.33768 1.55967i −0.524120 0.111405i
\(197\) 0.644829 + 1.98458i 0.0459422 + 0.141395i 0.971396 0.237464i \(-0.0763163\pi\)
−0.925454 + 0.378860i \(0.876316\pi\)
\(198\) 0.294268 3.86673i 0.0209127 0.274797i
\(199\) 3.06579 0.217328 0.108664 0.994079i \(-0.465343\pi\)
0.108664 + 0.994079i \(0.465343\pi\)
\(200\) 9.27705 + 10.7905i 0.655987 + 0.763006i
\(201\) 7.56801 + 12.6834i 0.533806 + 0.894615i
\(202\) 0.359072 3.41634i 0.0252642 0.240373i
\(203\) −3.94692 + 4.38349i −0.277019 + 0.307661i
\(204\) −6.75463 + 7.72228i −0.472919 + 0.540668i
\(205\) 0.515371 + 5.51006i 0.0359950 + 0.384840i
\(206\) 3.62092 11.1440i 0.252281 0.776442i
\(207\) −1.02932 1.67000i −0.0715430 0.116073i
\(208\) 0.0464667 0.143010i 0.00322188 0.00991594i
\(209\) 1.01029 + 9.61229i 0.0698834 + 0.664896i
\(210\) 2.10667 + 2.32598i 0.145374 + 0.160508i
\(211\) 0.214854 2.04420i 0.0147911 0.140728i −0.984634 0.174631i \(-0.944127\pi\)
0.999425 + 0.0339024i \(0.0107935\pi\)
\(212\) 12.4621 + 5.54850i 0.855903 + 0.381072i
\(213\) −22.8674 + 17.1219i −1.56685 + 1.17318i
\(214\) −0.464637 + 0.206870i −0.0317619 + 0.0141413i
\(215\) 9.00217 + 0.103156i 0.613943 + 0.00703517i
\(216\) −11.5781 + 9.20040i −0.787788 + 0.626008i
\(217\) −0.832292 + 2.56153i −0.0564996 + 0.173888i
\(218\) −5.69826 + 9.86967i −0.385935 + 0.668458i
\(219\) 1.27687 4.13103i 0.0862829 0.279149i
\(220\) −3.90126 + 0.782628i −0.263023 + 0.0527648i
\(221\) −5.96153 + 6.62095i −0.401016 + 0.445373i
\(222\) 9.03135 + 1.78432i 0.606144 + 0.119756i
\(223\) −20.7361 + 9.23232i −1.38859 + 0.618242i −0.958643 0.284611i \(-0.908136\pi\)
−0.429950 + 0.902852i \(0.641469\pi\)
\(224\) −5.14783 −0.343954
\(225\) −1.65512 14.9084i −0.110341 0.993894i
\(226\) −6.46951 −0.430345
\(227\) 6.01094 2.67624i 0.398960 0.177628i −0.197442 0.980315i \(-0.563263\pi\)
0.596401 + 0.802686i \(0.296597\pi\)
\(228\) 9.18314 10.4987i 0.608168 0.695293i
\(229\) 4.35897 4.84112i 0.288049 0.319910i −0.581702 0.813402i \(-0.697613\pi\)
0.869751 + 0.493492i \(0.164280\pi\)
\(230\) 0.876365 0.951155i 0.0577858 0.0627173i
\(231\) −2.26095 + 0.514671i −0.148759 + 0.0338629i
\(232\) 9.16284 15.8705i 0.601570 1.04195i
\(233\) 1.15048 3.54081i 0.0753703 0.231966i −0.906273 0.422694i \(-0.861085\pi\)
0.981643 + 0.190727i \(0.0610847\pi\)
\(234\) −3.84791 + 2.96843i −0.251546 + 0.194052i
\(235\) 3.58659 + 11.4845i 0.233963 + 0.749166i
\(236\) −2.22599 + 0.991077i −0.144900 + 0.0645136i
\(237\) −1.27462 10.6514i −0.0827958 0.691880i
\(238\) −3.60094 1.60324i −0.233414 0.103923i
\(239\) 0.596567 5.67596i 0.0385887 0.367147i −0.958138 0.286306i \(-0.907573\pi\)
0.996727 0.0808412i \(-0.0257607\pi\)
\(240\) −0.257802 0.186155i −0.0166411 0.0120163i
\(241\) 3.12340 + 29.7171i 0.201196 + 1.91425i 0.370759 + 0.928729i \(0.379098\pi\)
−0.169563 + 0.985519i \(0.554236\pi\)
\(242\) 2.42288 7.45685i 0.155748 0.479345i
\(243\) 15.5482 1.11998i 0.997416 0.0718468i
\(244\) −4.75602 + 14.6375i −0.304473 + 0.937072i
\(245\) −7.02425 + 11.8507i −0.448763 + 0.757111i
\(246\) −1.22342 3.58886i −0.0780027 0.228817i
\(247\) 8.10489 9.00139i 0.515702 0.572745i
\(248\) 0.874663 8.32186i 0.0555412 0.528439i
\(249\) −3.38153 + 6.05650i −0.214296 + 0.383815i
\(250\) 9.16712 3.70942i 0.579780 0.234604i
\(251\) −4.00907 −0.253050 −0.126525 0.991963i \(-0.540382\pi\)
−0.126525 + 0.991963i \(0.540382\pi\)
\(252\) 2.76267 + 1.88824i 0.174032 + 0.118948i
\(253\) 0.295307 + 0.908862i 0.0185658 + 0.0571397i
\(254\) −9.51282 2.02201i −0.596887 0.126872i
\(255\) 9.46801 + 16.2889i 0.592910 + 1.02005i
\(256\) 15.8393 3.36676i 0.989959 0.210422i
\(257\) −5.23224 9.06250i −0.326378 0.565303i 0.655412 0.755271i \(-0.272495\pi\)
−0.981790 + 0.189968i \(0.939162\pi\)
\(258\) −6.01432 + 1.36907i −0.374435 + 0.0852346i
\(259\) −0.575393 5.47450i −0.0357532 0.340169i
\(260\) 4.00032 + 2.97703i 0.248089 + 0.184627i
\(261\) −17.4137 + 8.36120i −1.07788 + 0.517545i
\(262\) 6.91162 5.02159i 0.427001 0.310235i
\(263\) 1.04740 + 9.96535i 0.0645855 + 0.614490i 0.978165 + 0.207830i \(0.0666400\pi\)
−0.913580 + 0.406660i \(0.866693\pi\)
\(264\) 6.53836 3.02447i 0.402408 0.186144i
\(265\) 16.9748 18.4235i 1.04276 1.13175i
\(266\) 4.89559 + 2.17966i 0.300168 + 0.133643i
\(267\) 7.21687 23.3486i 0.441665 1.42891i
\(268\) −5.19154 + 8.99200i −0.317124 + 0.549274i
\(269\) 6.60992 20.3433i 0.403014 1.24035i −0.519528 0.854453i \(-0.673892\pi\)
0.922542 0.385896i \(-0.126108\pi\)
\(270\) 3.48388 + 9.66862i 0.212022 + 0.588413i
\(271\) 2.51483 + 7.73984i 0.152765 + 0.470162i 0.997928 0.0643473i \(-0.0204965\pi\)
−0.845163 + 0.534509i \(0.820497\pi\)
\(272\) 0.390679 + 0.0830414i 0.0236884 + 0.00503512i
\(273\) 2.37526 + 1.67407i 0.143757 + 0.101320i
\(274\) 8.64124 + 14.9671i 0.522036 + 0.904193i
\(275\) −0.930116 + 7.24760i −0.0560881 + 0.437047i
\(276\) 0.672305 1.20413i 0.0404680 0.0724803i
\(277\) 0.0811277 0.0361204i 0.00487449 0.00217026i −0.404298 0.914627i \(-0.632484\pi\)
0.409172 + 0.912457i \(0.365817\pi\)
\(278\) −4.39938 13.5399i −0.263857 0.812069i
\(279\) −5.71101 + 6.72182i −0.341909 + 0.402425i
\(280\) −1.86493 + 5.52349i −0.111451 + 0.330091i
\(281\) −13.6010 15.1054i −0.811365 0.901112i 0.185303 0.982681i \(-0.440673\pi\)
−0.996668 + 0.0815694i \(0.974007\pi\)
\(282\) −4.22389 7.07890i −0.251529 0.421542i
\(283\) −27.2002 + 5.78158i −1.61688 + 0.343679i −0.925482 0.378791i \(-0.876340\pi\)
−0.691402 + 0.722471i \(0.743007\pi\)
\(284\) −18.3464 8.16836i −1.08866 0.484703i
\(285\) −12.8721 22.1453i −0.762476 1.31178i
\(286\) 2.16273 0.962908i 0.127885 0.0569380i
\(287\) −1.83421 + 1.33263i −0.108270 + 0.0786628i
\(288\) −15.5918 6.41117i −0.918753 0.377782i
\(289\) −5.39197 3.91749i −0.317174 0.230441i
\(290\) −8.41257 9.56118i −0.494003 0.561452i
\(291\) −1.23966 10.3592i −0.0726704 0.607268i
\(292\) 2.97325 0.631985i 0.173997 0.0369841i
\(293\) −5.17974 8.97157i −0.302604 0.524125i 0.674121 0.738621i \(-0.264523\pi\)
−0.976725 + 0.214496i \(0.931189\pi\)
\(294\) 2.78727 9.01759i 0.162557 0.525916i
\(295\) 0.416710 + 4.45524i 0.0242618 + 0.259394i
\(296\) 5.28476 + 16.2648i 0.307171 + 0.945374i
\(297\) −7.48894 1.25698i −0.434552 0.0729371i
\(298\) 8.21371 + 5.96761i 0.475807 + 0.345694i
\(299\) 0.598805 1.03716i 0.0346298 0.0599805i
\(300\) 8.58368 6.12516i 0.495579 0.353636i
\(301\) 1.84412 + 3.19411i 0.106293 + 0.184106i
\(302\) −1.33601 + 12.7113i −0.0768787 + 0.731452i
\(303\) −6.59913 1.30379i −0.379110 0.0749008i
\(304\) −0.531141 0.112897i −0.0304630 0.00647511i
\(305\) 22.6740 + 16.8739i 1.29831 + 0.966200i
\(306\) −8.90984 9.34056i −0.509342 0.533964i
\(307\) −26.4065 −1.50710 −0.753550 0.657391i \(-0.771660\pi\)
−0.753550 + 0.657391i \(0.771660\pi\)
\(308\) −1.09076 1.21141i −0.0621515 0.0690263i
\(309\) −21.0935 9.03023i −1.19997 0.513712i
\(310\) −5.28488 2.42592i −0.300161 0.137783i
\(311\) 0.852094 8.10713i 0.0483178 0.459713i −0.943436 0.331555i \(-0.892427\pi\)
0.991754 0.128158i \(-0.0409066\pi\)
\(312\) −8.29956 3.55308i −0.469870 0.201153i
\(313\) 3.04832 + 29.0029i 0.172301 + 1.63934i 0.649370 + 0.760472i \(0.275032\pi\)
−0.477069 + 0.878866i \(0.658301\pi\)
\(314\) 16.1516 + 11.7348i 0.911486 + 0.662233i
\(315\) 4.90831 3.69754i 0.276552 0.208333i
\(316\) 6.10107 4.43268i 0.343212 0.249358i
\(317\) −7.21022 8.00776i −0.404966 0.449761i 0.505820 0.862639i \(-0.331190\pi\)
−0.910786 + 0.412878i \(0.864523\pi\)
\(318\) −8.36721 + 14.9861i −0.469210 + 0.840379i
\(319\) 9.20437 1.95645i 0.515346 0.109540i
\(320\) 1.33091 11.4042i 0.0744001 0.637512i
\(321\) 0.321357 + 0.942684i 0.0179364 + 0.0526155i
\(322\) 0.518273 + 0.110162i 0.0288822 + 0.00613910i
\(323\) 26.0286 + 18.9109i 1.44827 + 1.05223i
\(324\) 6.01594 + 9.15977i 0.334219 + 0.508876i
\(325\) 7.52976 5.21132i 0.417676 0.289072i
\(326\) −7.28290 + 12.6144i −0.403362 + 0.698644i
\(327\) 18.2413 + 12.8563i 1.00874 + 0.710958i
\(328\) 4.71320 5.23454i 0.260243 0.289029i
\(329\) −3.29818 + 3.66300i −0.181835 + 0.201948i
\(330\) −0.537860 4.97739i −0.0296082 0.273996i
\(331\) 10.0456 + 11.1567i 0.552154 + 0.613229i 0.953020 0.302908i \(-0.0979574\pi\)
−0.400866 + 0.916137i \(0.631291\pi\)
\(332\) −4.87641 −0.267628
\(333\) 5.07526 17.2978i 0.278123 0.947913i
\(334\) −14.7323 + 10.7036i −0.806116 + 0.585678i
\(335\) 12.5955 + 14.3152i 0.688164 + 0.782123i
\(336\) 0.0117526 0.129741i 0.000641155 0.00707798i
\(337\) 1.21087 + 0.539114i 0.0659603 + 0.0293674i 0.439452 0.898266i \(-0.355173\pi\)
−0.373491 + 0.927634i \(0.621839\pi\)
\(338\) 7.79423 + 3.47022i 0.423950 + 0.188755i
\(339\) −1.14289 + 12.6169i −0.0620735 + 0.685255i
\(340\) −6.75352 + 11.3939i −0.366261 + 0.617921i
\(341\) 3.47611 2.52554i 0.188242 0.136766i
\(342\) 12.1132 + 12.6988i 0.655007 + 0.686672i
\(343\) −12.0562 −0.650975
\(344\) −7.66732 8.51542i −0.413394 0.459121i
\(345\) −1.70013 1.87712i −0.0915320 0.101061i
\(346\) −12.9891 + 14.4258i −0.698297 + 0.775538i
\(347\) −5.31615 + 5.90418i −0.285386 + 0.316953i −0.868743 0.495262i \(-0.835072\pi\)
0.583358 + 0.812215i \(0.301739\pi\)
\(348\) −11.1000 7.82322i −0.595022 0.419369i
\(349\) 6.48550 11.2332i 0.347161 0.601300i −0.638583 0.769553i \(-0.720479\pi\)
0.985744 + 0.168253i \(0.0538124\pi\)
\(350\) 3.22221 + 2.45583i 0.172235 + 0.131270i
\(351\) 5.10929 + 8.02862i 0.272714 + 0.428536i
\(352\) 6.64392 + 4.82709i 0.354122 + 0.257285i
\(353\) −4.30300 0.914630i −0.229025 0.0486809i 0.0919693 0.995762i \(-0.470684\pi\)
−0.320995 + 0.947081i \(0.604017\pi\)
\(354\) −0.989217 2.90182i −0.0525763 0.154230i
\(355\) −24.9899 + 27.1226i −1.32633 + 1.43952i
\(356\) 16.8048 3.57198i 0.890655 0.189315i
\(357\) −3.76279 + 6.73935i −0.199148 + 0.356684i
\(358\) 6.87237 + 7.63253i 0.363216 + 0.403392i
\(359\) 11.0737 8.04552i 0.584448 0.424627i −0.255877 0.966709i \(-0.582364\pi\)
0.840325 + 0.542083i \(0.182364\pi\)
\(360\) −12.5275 + 14.4069i −0.660258 + 0.759313i
\(361\) −20.0154 14.5420i −1.05344 0.765370i
\(362\) 1.23655 + 11.7650i 0.0649916 + 0.618354i
\(363\) −14.1144 6.04243i −0.740813 0.317145i
\(364\) −0.213538 + 2.03168i −0.0111924 + 0.106489i
\(365\) 0.647059 5.54445i 0.0338686 0.290210i
\(366\) −17.8020 7.62111i −0.930525 0.398362i
\(367\) 3.50752 + 3.89550i 0.183091 + 0.203343i 0.827703 0.561167i \(-0.189648\pi\)
−0.644611 + 0.764510i \(0.722981\pi\)
\(368\) −0.0536889 −0.00279873
\(369\) −7.21514 + 1.75193i −0.375605 + 0.0912018i
\(370\) 11.8840 + 0.136179i 0.617821 + 0.00707960i
\(371\) 10.0387 + 2.13380i 0.521185 + 0.110781i
\(372\) −6.08312 1.20184i −0.315395 0.0623126i
\(373\) −0.885927 + 8.42903i −0.0458716 + 0.436439i 0.947350 + 0.320201i \(0.103750\pi\)
−0.993221 + 0.116238i \(0.962916\pi\)
\(374\) 3.14411 + 5.44577i 0.162578 + 0.281594i
\(375\) −5.61469 18.5331i −0.289941 0.957044i
\(376\) 7.65680 13.2620i 0.394869 0.683933i
\(377\) −9.54050 6.93158i −0.491361 0.356994i
\(378\) −2.67968 + 3.24748i −0.137828 + 0.167033i
\(379\) −7.97105 24.5324i −0.409445 1.26014i −0.917126 0.398598i \(-0.869497\pi\)
0.507680 0.861545i \(-0.330503\pi\)
\(380\) 9.18162 15.4904i 0.471007 0.794640i
\(381\) −5.62386 + 18.1948i −0.288119 + 0.932146i
\(382\) 3.11995 + 5.40390i 0.159630 + 0.276488i
\(383\) 7.46117 1.58592i 0.381248 0.0810367i −0.0133014 0.999912i \(-0.504234\pi\)
0.394549 + 0.918875i \(0.370901\pi\)
\(384\) −1.37830 11.5177i −0.0703362 0.587761i
\(385\) −2.74851 + 1.18617i −0.140077 + 0.0604527i
\(386\) 4.01241 + 2.91519i 0.204226 + 0.148379i
\(387\) 1.60749 + 11.9710i 0.0817133 + 0.608522i
\(388\) 5.93373 4.31110i 0.301239 0.218863i
\(389\) −32.4386 + 14.4426i −1.64470 + 0.732268i −0.999496 0.0317430i \(-0.989894\pi\)
−0.645204 + 0.764011i \(0.723228\pi\)
\(390\) −4.18449 + 4.67476i −0.211890 + 0.236716i
\(391\) 2.90604 + 1.29385i 0.146965 + 0.0654330i
\(392\) 17.1508 3.64552i 0.866246 0.184126i
\(393\) −8.57214 14.3662i −0.432407 0.724679i
\(394\) −1.23503 1.37164i −0.0622200 0.0691024i
\(395\) −4.12836 13.2193i −0.207720 0.665135i
\(396\) −1.79498 5.02755i −0.0902012 0.252644i
\(397\) 8.38450 + 25.8048i 0.420806 + 1.29511i 0.906954 + 0.421230i \(0.138402\pi\)
−0.486148 + 0.873877i \(0.661598\pi\)
\(398\) −2.47729 + 1.10296i −0.124176 + 0.0552865i
\(399\) 5.11564 9.16237i 0.256102 0.458692i
\(400\) −0.371104 0.175523i −0.0185552 0.00877617i
\(401\) 11.5052 + 19.9276i 0.574543 + 0.995138i 0.996091 + 0.0883319i \(0.0281536\pi\)
−0.421548 + 0.906806i \(0.638513\pi\)
\(402\) −10.6783 7.52602i −0.532586 0.375364i
\(403\) −5.26701 1.11954i −0.262368 0.0557681i
\(404\) −1.46130 4.49742i −0.0727025 0.223755i
\(405\) 19.4713 5.08623i 0.967535 0.252737i
\(406\) 1.61226 4.96202i 0.0800150 0.246261i
\(407\) −4.39079 + 7.60507i −0.217643 + 0.376970i
\(408\) 7.08156 22.9108i 0.350589 1.13425i
\(409\) 16.5641 + 7.37483i 0.819044 + 0.364662i 0.773101 0.634282i \(-0.218704\pi\)
0.0459421 + 0.998944i \(0.485371\pi\)
\(410\) −2.39877 4.26697i −0.118467 0.210730i
\(411\) 30.7154 14.2081i 1.51508 0.700836i
\(412\) −1.68609 16.0421i −0.0830679 0.790338i
\(413\) −1.48308 + 1.07752i −0.0729775 + 0.0530212i
\(414\) 1.43255 + 0.979124i 0.0704059 + 0.0481213i
\(415\) −2.86467 + 8.48451i −0.140621 + 0.416488i
\(416\) −1.07578 10.2354i −0.0527446 0.501831i
\(417\) −27.1828 + 6.18776i −1.33115 + 0.303016i
\(418\) −4.27453 7.40370i −0.209074 0.362127i
\(419\) 3.16469 0.672676i 0.154605 0.0328624i −0.129959 0.991519i \(-0.541484\pi\)
0.284564 + 0.958657i \(0.408151\pi\)
\(420\) 3.95170 + 1.74559i 0.192823 + 0.0851759i
\(421\) 10.1780 + 2.16341i 0.496047 + 0.105438i 0.449140 0.893461i \(-0.351730\pi\)
0.0469065 + 0.998899i \(0.485064\pi\)
\(422\) 0.561818 + 1.72910i 0.0273489 + 0.0841712i
\(423\) −14.5515 + 6.98692i −0.707518 + 0.339715i
\(424\) −31.8851 −1.54848
\(425\) 15.8570 + 18.4439i 0.769175 + 0.894661i
\(426\) 12.3180 22.0622i 0.596809 1.06892i
\(427\) −1.21034 + 11.5156i −0.0585726 + 0.557281i
\(428\) −0.468496 + 0.520318i −0.0226456 + 0.0251505i
\(429\) −1.49581 4.38787i −0.0722182 0.211849i
\(430\) −7.31127 + 3.15531i −0.352581 + 0.152163i
\(431\) 6.18249 19.0277i 0.297800 0.916534i −0.684467 0.729044i \(-0.739965\pi\)
0.982267 0.187490i \(-0.0600351\pi\)
\(432\) 0.197178 0.378324i 0.00948673 0.0182021i
\(433\) −1.29700 + 3.99175i −0.0623297 + 0.191831i −0.977372 0.211526i \(-0.932157\pi\)
0.915043 + 0.403357i \(0.132157\pi\)
\(434\) −0.249019 2.36926i −0.0119533 0.113728i
\(435\) −20.1324 + 14.7172i −0.965277 + 0.705635i
\(436\) −1.63990 + 15.6026i −0.0785370 + 0.747230i
\(437\) −3.95086 1.75904i −0.188995 0.0841461i
\(438\) 0.454430 + 3.79743i 0.0217135 + 0.181448i
\(439\) 29.5520 13.1574i 1.41044 0.627969i 0.446670 0.894699i \(-0.352610\pi\)
0.963771 + 0.266730i \(0.0859431\pi\)
\(440\) 7.58626 5.38002i 0.361661 0.256482i
\(441\) −17.0938 7.02879i −0.813989 0.334704i
\(442\) 2.43520 7.49477i 0.115831 0.356490i
\(443\) −0.881739 + 1.52722i −0.0418927 + 0.0725602i −0.886211 0.463281i \(-0.846672\pi\)
0.844319 + 0.535841i \(0.180005\pi\)
\(444\) 12.3569 2.81286i 0.586431 0.133492i
\(445\) 3.65718 31.3373i 0.173367 1.48553i
\(446\) 13.4343 14.9203i 0.636130 0.706494i
\(447\) 13.0891 14.9642i 0.619093 0.707783i
\(448\) 4.29709 1.91319i 0.203019 0.0903897i
\(449\) 4.06171 0.191684 0.0958420 0.995397i \(-0.469446\pi\)
0.0958420 + 0.995397i \(0.469446\pi\)
\(450\) 6.70093 + 11.4512i 0.315885 + 0.539815i
\(451\) 3.61688 0.170312
\(452\) −8.13603 + 3.62239i −0.382687 + 0.170383i
\(453\) 24.5536 + 4.85105i 1.15363 + 0.227922i
\(454\) −3.89429 + 4.32504i −0.182768 + 0.202984i
\(455\) 3.40949 + 1.56505i 0.159839 + 0.0733709i
\(456\) −9.62761 + 31.1480i −0.450854 + 1.45864i
\(457\) −17.6151 + 30.5103i −0.824002 + 1.42721i 0.0786783 + 0.996900i \(0.474930\pi\)
−0.902680 + 0.430313i \(0.858403\pi\)
\(458\) −1.78057 + 5.48004i −0.0832008 + 0.256066i
\(459\) −19.7900 + 15.7259i −0.923720 + 0.734024i
\(460\) 0.569545 1.68686i 0.0265552 0.0786503i
\(461\) −0.00623691 + 0.00277685i −0.000290482 + 0.000129331i −0.406882 0.913481i \(-0.633384\pi\)
0.406591 + 0.913610i \(0.366717\pi\)
\(462\) 1.64179 1.22929i 0.0763828 0.0571916i
\(463\) 26.7037 + 11.8893i 1.24103 + 0.552541i 0.919025 0.394198i \(-0.128978\pi\)
0.322001 + 0.946739i \(0.395644\pi\)
\(464\) −0.0552608 + 0.525771i −0.00256542 + 0.0244083i
\(465\) −5.66466 + 9.87805i −0.262692 + 0.458084i
\(466\) 0.344220 + 3.27503i 0.0159457 + 0.151713i
\(467\) −5.25864 + 16.1844i −0.243341 + 0.748926i 0.752564 + 0.658519i \(0.228817\pi\)
−0.995905 + 0.0904068i \(0.971183\pi\)
\(468\) −3.17704 + 5.88760i −0.146859 + 0.272155i
\(469\) −2.41391 + 7.42924i −0.111464 + 0.343050i
\(470\) −7.02984 7.98966i −0.324262 0.368536i
\(471\) 25.7386 29.4259i 1.18597 1.35587i
\(472\) 3.81092 4.23246i 0.175412 0.194815i
\(473\) 0.615031 5.85163i 0.0282791 0.269058i
\(474\) 4.86193 + 8.14820i 0.223316 + 0.374259i
\(475\) −21.5580 25.0751i −0.989151 1.15052i
\(476\) −5.42621 −0.248710
\(477\) 27.7479 + 18.9652i 1.27049 + 0.868358i
\(478\) 1.55996 + 4.80105i 0.0713507 + 0.219595i
\(479\) 38.6010 + 8.20489i 1.76372 + 0.374891i 0.971814 0.235749i \(-0.0757542\pi\)
0.791909 + 0.610640i \(0.209088\pi\)
\(480\) −21.3016 4.46276i −0.972283 0.203696i
\(481\) 10.7647 2.28810i 0.490827 0.104328i
\(482\) −13.2150 22.8891i −0.601928 1.04257i
\(483\) 0.306397 0.991278i 0.0139415 0.0451047i
\(484\) −1.12822 10.7343i −0.0512828 0.487924i
\(485\) −4.01513 12.8567i −0.182318 0.583794i
\(486\) −12.1607 + 6.49868i −0.551620 + 0.294786i
\(487\) −4.96283 + 3.60570i −0.224887 + 0.163390i −0.694524 0.719470i \(-0.744385\pi\)
0.469637 + 0.882860i \(0.344385\pi\)
\(488\) −3.76029 35.7768i −0.170220 1.61954i
\(489\) 23.3140 + 16.4316i 1.05430 + 0.743063i
\(490\) 1.41246 12.1029i 0.0638084 0.546755i
\(491\) −37.8652 16.8587i −1.70883 0.760821i −0.998369 0.0570848i \(-0.981819\pi\)
−0.710462 0.703736i \(-0.751514\pi\)
\(492\) −3.54804 3.82831i −0.159958 0.172594i
\(493\) 15.6617 27.1269i 0.705369 1.22174i
\(494\) −3.31073 + 10.1894i −0.148957 + 0.458442i
\(495\) −9.80195 + 0.169640i −0.440565 + 0.00762475i
\(496\) 0.0745952 + 0.229580i 0.00334942 + 0.0103085i
\(497\) −14.7788 3.14132i −0.662918 0.140908i
\(498\) 0.553515 6.11048i 0.0248036 0.273817i
\(499\) −21.5077 37.2524i −0.962815 1.66765i −0.715373 0.698742i \(-0.753743\pi\)
−0.247442 0.968903i \(-0.579590\pi\)
\(500\) 9.45156 9.79779i 0.422687 0.438170i
\(501\) 18.2717 + 30.6219i 0.816321 + 1.36809i
\(502\) 3.23951 1.44232i 0.144586 0.0643740i
\(503\) −3.68891 11.3533i −0.164481 0.506219i 0.834517 0.550982i \(-0.185747\pi\)
−0.998998 + 0.0447630i \(0.985747\pi\)
\(504\) −7.69421 1.40549i −0.342728 0.0626053i
\(505\) −8.68356 0.0995048i −0.386413 0.00442790i
\(506\) −0.565598 0.628160i −0.0251439 0.0279251i
\(507\) 8.14456 14.5873i 0.361713 0.647846i
\(508\) −13.0954 + 2.78352i −0.581017 + 0.123499i
\(509\) 15.8268 + 7.04652i 0.701509 + 0.312332i 0.726316 0.687361i \(-0.241231\pi\)
−0.0248079 + 0.999692i \(0.507897\pi\)
\(510\) −13.5108 9.75593i −0.598267 0.432000i
\(511\) 2.08915 0.930150i 0.0924186 0.0411474i
\(512\) −0.751353 + 0.545890i −0.0332054 + 0.0241252i
\(513\) 26.9052 21.3799i 1.18789 0.943947i
\(514\) 7.48825 + 5.44053i 0.330293 + 0.239972i
\(515\) −28.9023 6.49038i −1.27359 0.286000i
\(516\) −6.79702 + 5.08926i −0.299222 + 0.224042i
\(517\) 7.69150 1.63488i 0.338272 0.0719019i
\(518\) 2.43448 + 4.21663i 0.106965 + 0.185268i
\(519\) 25.8387 + 27.8798i 1.13419 + 1.22379i
\(520\) −11.3720 2.55374i −0.498697 0.111989i
\(521\) 6.41731 + 19.7505i 0.281147 + 0.865283i 0.987527 + 0.157450i \(0.0503272\pi\)
−0.706380 + 0.707833i \(0.749673\pi\)
\(522\) 11.0630 13.0211i 0.484213 0.569916i
\(523\) −13.4985 9.80721i −0.590247 0.428839i 0.252157 0.967686i \(-0.418860\pi\)
−0.842404 + 0.538847i \(0.818860\pi\)
\(524\) 5.88035 10.1851i 0.256884 0.444937i
\(525\) 5.35861 5.85014i 0.233869 0.255321i
\(526\) −4.43153 7.67563i −0.193224 0.334674i
\(527\) 1.49503 14.2243i 0.0651247 0.619620i
\(528\) −0.136826 + 0.156427i −0.00595459 + 0.00680763i
\(529\) 22.0791 + 4.69307i 0.959962 + 0.204046i
\(530\) −7.08830 + 20.9939i −0.307896 + 0.911918i
\(531\) −5.83390 + 1.41655i −0.253170 + 0.0614729i
\(532\) 7.37711 0.319838
\(533\) −3.03298 3.36846i −0.131373 0.145904i
\(534\) 2.56844 + 21.4631i 0.111147 + 0.928798i
\(535\) 0.630084 + 1.12080i 0.0272409 + 0.0484566i
\(536\) 2.53680 24.1360i 0.109573 1.04252i
\(537\) 16.0991 12.0542i 0.694727 0.520176i
\(538\) 1.97767 + 18.8163i 0.0852634 + 0.811227i
\(539\) 7.28395 + 5.29210i 0.313742 + 0.227947i
\(540\) 9.79494 + 10.2085i 0.421507 + 0.439305i
\(541\) −1.25243 + 0.909945i −0.0538462 + 0.0391216i −0.614383 0.789008i \(-0.710595\pi\)
0.560537 + 0.828130i \(0.310595\pi\)
\(542\) −4.81661 5.34939i −0.206891 0.229776i
\(543\) 23.1626 0.333142i 0.994003 0.0142965i
\(544\) 26.7394 5.68363i 1.14644 0.243684i
\(545\) 26.1838 + 12.0191i 1.12159 + 0.514843i
\(546\) −2.52159 0.498190i −0.107914 0.0213206i
\(547\) −18.4672 3.92532i −0.789599 0.167834i −0.204575 0.978851i \(-0.565581\pi\)
−0.585023 + 0.811016i \(0.698915\pi\)
\(548\) 19.2475 + 13.9841i 0.822213 + 0.597373i
\(549\) −18.0076 + 33.3712i −0.768547 + 1.42425i
\(550\) −1.85585 6.19101i −0.0791339 0.263985i
\(551\) −21.2926 + 36.8799i −0.907097 + 1.57114i
\(552\) −0.290805 + 3.21032i −0.0123775 + 0.136640i
\(553\) 3.79639 4.21632i 0.161439 0.179296i
\(554\) −0.0525600 + 0.0583738i −0.00223306 + 0.00248006i
\(555\) 2.36499 23.1522i 0.100388 0.982758i
\(556\) −13.1139 14.5644i −0.556152 0.617669i
\(557\) −16.8643 −0.714561 −0.357281 0.933997i \(-0.616296\pi\)
−0.357281 + 0.933997i \(0.616296\pi\)
\(558\) 2.19648 7.48615i 0.0929843 0.316914i
\(559\) −5.96545 + 4.33416i −0.252312 + 0.183315i
\(560\) −0.0156621 0.167450i −0.000661843 0.00707607i
\(561\) 11.1758 5.16963i 0.471843 0.218262i
\(562\) 16.4246 + 7.31269i 0.692829 + 0.308467i
\(563\) −1.64115 0.730685i −0.0691660 0.0307947i 0.371862 0.928288i \(-0.378719\pi\)
−0.441028 + 0.897493i \(0.645386\pi\)
\(564\) −9.27555 6.53736i −0.390571 0.275273i
\(565\) 1.52308 + 16.2839i 0.0640764 + 0.685070i
\(566\) 19.8990 14.4574i 0.836416 0.607692i
\(567\) 5.85988 + 5.79963i 0.246092 + 0.243562i
\(568\) 46.9404 1.96958
\(569\) −3.03944 3.37564i −0.127420 0.141514i 0.676059 0.736848i \(-0.263687\pi\)
−0.803479 + 0.595334i \(0.797020\pi\)
\(570\) 18.3683 + 13.2635i 0.769364 + 0.555547i
\(571\) −26.9761 + 29.9600i −1.12891 + 1.25379i −0.165370 + 0.986232i \(0.552882\pi\)
−0.963543 + 0.267554i \(0.913785\pi\)
\(572\) 2.18069 2.42190i 0.0911792 0.101265i
\(573\) 11.0899 5.12989i 0.463287 0.214304i
\(574\) 1.00269 1.73671i 0.0418515 0.0724889i
\(575\) −2.60040 1.98191i −0.108444 0.0826514i
\(576\) 15.3978 0.443016i 0.641574 0.0184590i
\(577\) −14.4803 10.5206i −0.602824 0.437978i 0.244056 0.969761i \(-0.421522\pi\)
−0.846880 + 0.531784i \(0.821522\pi\)
\(578\) 5.76633 + 1.22567i 0.239848 + 0.0509812i
\(579\) 6.39405 7.31004i 0.265727 0.303795i
\(580\) −15.9331 7.31376i −0.661586 0.303687i
\(581\) −3.58853 + 0.762766i −0.148877 + 0.0316449i
\(582\) 4.72858 + 7.92472i 0.196006 + 0.328490i
\(583\) −10.9554 12.1672i −0.453726 0.503914i
\(584\) −5.74792 + 4.17611i −0.237851 + 0.172809i
\(585\) 8.37752 + 8.98646i 0.346368 + 0.371545i
\(586\) 7.41312 + 5.38595i 0.306233 + 0.222491i
\(587\) 4.04407 + 38.4768i 0.166917 + 1.58811i 0.682252 + 0.731117i \(0.261001\pi\)
−0.515335 + 0.856989i \(0.672333\pi\)
\(588\) −1.54385 12.9011i −0.0636673 0.532034i
\(589\) −2.03255 + 19.3384i −0.0837496 + 0.796824i
\(590\) −1.93956 3.45012i −0.0798504 0.142039i
\(591\) −2.89317 + 2.16626i −0.119009 + 0.0891079i
\(592\) −0.330123 0.366639i −0.0135680 0.0150688i
\(593\) 0.135281 0.00555534 0.00277767 0.999996i \(-0.499116\pi\)
0.00277767 + 0.999996i \(0.499116\pi\)
\(594\) 6.50362 1.67856i 0.266847 0.0688723i
\(595\) −3.18766 + 9.44111i −0.130681 + 0.387048i
\(596\) 13.6709 + 2.90584i 0.559982 + 0.119028i
\(597\) 1.71337 + 5.02608i 0.0701236 + 0.205704i
\(598\) −0.110727 + 1.05350i −0.00452798 + 0.0430808i
\(599\) −0.290350 0.502901i −0.0118634 0.0205480i 0.860033 0.510239i \(-0.170443\pi\)
−0.871896 + 0.489691i \(0.837110\pi\)
\(600\) −12.5055 + 21.2394i −0.510534 + 0.867094i
\(601\) 11.2892 19.5535i 0.460496 0.797602i −0.538490 0.842632i \(-0.681005\pi\)
0.998986 + 0.0450300i \(0.0143383\pi\)
\(602\) −2.63926 1.91754i −0.107568 0.0781529i
\(603\) −16.5637 + 19.4954i −0.674527 + 0.793914i
\(604\) 5.43711 + 16.7337i 0.221233 + 0.680885i
\(605\) −19.3395 4.34293i −0.786263 0.176565i
\(606\) 5.80145 1.32062i 0.235668 0.0536463i
\(607\) 5.42862 + 9.40265i 0.220341 + 0.381642i 0.954912 0.296891i \(-0.0959496\pi\)
−0.734570 + 0.678532i \(0.762616\pi\)
\(608\) −36.3531 + 7.72708i −1.47431 + 0.313374i
\(609\) −9.39215 4.02082i −0.380589 0.162932i
\(610\) −24.3923 5.47759i −0.987615 0.221781i
\(611\) −7.97238 5.79227i −0.322528 0.234330i
\(612\) −16.4349 6.75788i −0.664343 0.273171i
\(613\) 32.2624 23.4400i 1.30307 0.946733i 0.303086 0.952963i \(-0.401983\pi\)
0.999981 + 0.00623024i \(0.00198316\pi\)
\(614\) 21.3377 9.50014i 0.861118 0.383394i
\(615\) −8.74523 + 3.92430i −0.352642 + 0.158243i
\(616\) 3.48074 + 1.54973i 0.140243 + 0.0624403i
\(617\) −25.4813 + 5.41621i −1.02584 + 0.218048i −0.689952 0.723855i \(-0.742369\pi\)
−0.335885 + 0.941903i \(0.609035\pi\)
\(618\) 20.2933 0.291873i 0.816315 0.0117409i
\(619\) −6.20324 6.88940i −0.249329 0.276908i 0.605469 0.795869i \(-0.292986\pi\)
−0.854798 + 0.518961i \(0.826319\pi\)
\(620\) −8.00456 0.0917241i −0.321471 0.00368373i
\(621\) 2.16257 2.62080i 0.0867808 0.105169i
\(622\) 2.22813 + 6.85748i 0.0893399 + 0.274960i
\(623\) 11.8079 5.25721i 0.473073 0.210626i
\(624\) 0.260420 0.00374556i 0.0104252 0.000149942i
\(625\) −11.4949 22.2006i −0.459795 0.888025i
\(626\) −12.8974 22.3389i −0.515483 0.892843i
\(627\) −15.1939 + 7.02828i −0.606785 + 0.280683i
\(628\) 26.8827 + 5.71409i 1.07274 + 0.228017i
\(629\) 9.03307 + 27.8009i 0.360172 + 1.10850i
\(630\) −2.63589 + 4.75361i −0.105016 + 0.189388i
\(631\) −2.38628 + 7.34421i −0.0949963 + 0.292368i −0.987253 0.159161i \(-0.949121\pi\)
0.892256 + 0.451529i \(0.149121\pi\)
\(632\) −8.81340 + 15.2653i −0.350578 + 0.607219i
\(633\) 3.47135 0.790202i 0.137974 0.0314077i
\(634\) 8.70709 + 3.87665i 0.345803 + 0.153961i
\(635\) −2.84992 + 24.4201i −0.113095 + 0.969081i
\(636\) −2.13158 + 23.5314i −0.0845228 + 0.933082i
\(637\) −1.17942 11.2214i −0.0467303 0.444609i
\(638\) −6.73368 + 4.89231i −0.266589 + 0.193688i
\(639\) −40.8497 27.9201i −1.61599 1.10450i
\(640\) −4.46416 14.2945i −0.176461 0.565042i
\(641\) −3.03061 28.8343i −0.119702 1.13889i −0.875208 0.483746i \(-0.839276\pi\)
0.755507 0.655141i \(-0.227391\pi\)
\(642\) −0.598815 0.646118i −0.0236334 0.0255003i
\(643\) −19.9683 34.5861i −0.787473 1.36394i −0.927511 0.373797i \(-0.878056\pi\)
0.140038 0.990146i \(-0.455278\pi\)
\(644\) 0.713460 0.151651i 0.0281143 0.00597587i
\(645\) 4.86191 + 14.8159i 0.191437 + 0.583376i
\(646\) −27.8357 5.91667i −1.09518 0.232788i
\(647\) −1.22692 3.77608i −0.0482353 0.148453i 0.924038 0.382301i \(-0.124868\pi\)
−0.972273 + 0.233848i \(0.924868\pi\)
\(648\) −21.5538 13.8394i −0.846715 0.543664i
\(649\) 2.92448 0.114796
\(650\) −4.20954 + 6.91992i −0.165112 + 0.271422i
\(651\) −4.66454 + 0.0670889i −0.182818 + 0.00262942i
\(652\) −2.09595 + 19.9416i −0.0820836 + 0.780973i
\(653\) −23.3941 + 25.9818i −0.915483 + 1.01675i 0.0843104 + 0.996440i \(0.473131\pi\)
−0.999794 + 0.0203078i \(0.993535\pi\)
\(654\) −19.3650 3.82594i −0.757232 0.149606i
\(655\) −14.2666 16.2146i −0.557444 0.633555i
\(656\) −0.0627927 + 0.193256i −0.00245164 + 0.00754538i
\(657\) 7.48605 0.215385i 0.292059 0.00840295i
\(658\) 1.34726 4.14644i 0.0525217 0.161645i
\(659\) 2.85250 + 27.1397i 0.111118 + 1.05721i 0.897965 + 0.440066i \(0.145045\pi\)
−0.786848 + 0.617147i \(0.788288\pi\)
\(660\) −3.46334 5.95839i −0.134810 0.231930i
\(661\) −3.82476 + 36.3902i −0.148766 + 1.41541i 0.624348 + 0.781146i \(0.285365\pi\)
−0.773114 + 0.634267i \(0.781302\pi\)
\(662\) −12.1311 5.40109i −0.471487 0.209919i
\(663\) −14.1862 6.07316i −0.550945 0.235862i
\(664\) 10.4125 4.63595i 0.404084 0.179910i
\(665\) 4.33372 12.8355i 0.168055 0.497739i
\(666\) 2.12209 + 15.8033i 0.0822294 + 0.612365i
\(667\) −1.30113 + 4.00447i −0.0503800 + 0.155054i
\(668\) −12.5341 + 21.7098i −0.484960 + 0.839976i
\(669\) −26.7243 28.8354i −1.03322 1.11484i
\(670\) −15.3278 7.03592i −0.592165 0.271821i
\(671\) 12.3603 13.7275i 0.477163 0.529943i
\(672\) −2.87695 8.43940i −0.110981 0.325557i
\(673\) −23.0242 + 10.2510i −0.887518 + 0.395148i −0.799285 0.600952i \(-0.794788\pi\)
−0.0882323 + 0.996100i \(0.528122\pi\)
\(674\) −1.17239 −0.0451589
\(675\) 23.5160 11.0452i 0.905132 0.425132i
\(676\) 11.7450 0.451732
\(677\) 10.8854 4.84649i 0.418360 0.186266i −0.186751 0.982407i \(-0.559796\pi\)
0.605110 + 0.796142i \(0.293129\pi\)
\(678\) −3.61560 10.6062i −0.138856 0.407328i
\(679\) 3.69227 4.10068i 0.141696 0.157370i
\(680\) 3.58861 30.7497i 0.137617 1.17920i
\(681\) 7.74678 + 8.35873i 0.296857 + 0.320307i
\(682\) −1.90025 + 3.29133i −0.0727644 + 0.126032i
\(683\) −10.9564 + 33.7204i −0.419236 + 1.29028i 0.489171 + 0.872188i \(0.337299\pi\)
−0.908407 + 0.418088i \(0.862701\pi\)
\(684\) 22.3438 + 9.18755i 0.854337 + 0.351295i
\(685\) 35.6382 25.2739i 1.36166 0.965664i
\(686\) 9.74197 4.33741i 0.371950 0.165603i
\(687\) 10.3727 + 4.44059i 0.395742 + 0.169419i
\(688\) 0.301985 + 0.134452i 0.0115131 + 0.00512594i
\(689\) −2.14474 + 20.4059i −0.0817082 + 0.777402i
\(690\) 2.04911 + 0.905152i 0.0780081 + 0.0344586i
\(691\) −1.82303 17.3450i −0.0693513 0.659834i −0.972881 0.231307i \(-0.925700\pi\)
0.903529 0.428526i \(-0.140967\pi\)
\(692\) −8.25774 + 25.4147i −0.313912 + 0.966122i
\(693\) −2.10733 3.41899i −0.0800508 0.129877i
\(694\) 2.17157 6.68341i 0.0824317 0.253699i
\(695\) −33.0446 + 14.2610i −1.25345 + 0.540950i
\(696\) 31.1391 + 6.15214i 1.18032 + 0.233196i
\(697\) 8.05612 8.94722i 0.305147 0.338900i
\(698\) −1.19926 + 11.4102i −0.0453927 + 0.431882i
\(699\) 6.44780 0.0927371i 0.243878 0.00350764i
\(700\) 5.42731 + 1.28427i 0.205133 + 0.0485407i
\(701\) −23.1265 −0.873476 −0.436738 0.899589i \(-0.643866\pi\)
−0.436738 + 0.899589i \(0.643866\pi\)
\(702\) −7.01695 4.64934i −0.264838 0.175478i
\(703\) −12.2808 37.7963i −0.463177 1.42551i
\(704\) −7.33993 1.56015i −0.276634 0.0588004i
\(705\) −16.8234 + 12.2982i −0.633605 + 0.463177i
\(706\) 3.80607 0.809004i 0.143243 0.0304473i
\(707\) −1.77885 3.08106i −0.0669006 0.115875i
\(708\) −2.86882 3.09544i −0.107817 0.116334i
\(709\) −1.08114 10.2864i −0.0406030 0.386312i −0.995886 0.0906180i \(-0.971116\pi\)
0.955283 0.295694i \(-0.0955509\pi\)
\(710\) 10.4352 30.9067i 0.391627 1.15991i
\(711\) 16.7496 8.04233i 0.628159 0.301611i
\(712\) −32.4873 + 23.6034i −1.21751 + 0.884574i
\(713\) 0.200964 + 1.91205i 0.00752618 + 0.0716068i
\(714\) 0.615922 6.79942i 0.0230503 0.254462i
\(715\) −2.93283 5.21696i −0.109682 0.195103i
\(716\) 12.9163 + 5.75069i 0.482703 + 0.214913i
\(717\) 9.63862 2.19409i 0.359961 0.0819398i
\(718\) −6.05356 + 10.4851i −0.225917 + 0.391300i
\(719\) −11.2080 + 34.4945i −0.417986 + 1.28643i 0.491566 + 0.870840i \(0.336425\pi\)
−0.909552 + 0.415589i \(0.863575\pi\)
\(720\) 0.161108 0.526680i 0.00600413 0.0196282i
\(721\) −3.75009 11.5416i −0.139661 0.429832i
\(722\) 21.4050 + 4.54978i 0.796613 + 0.169325i
\(723\) −46.9730 + 21.7285i −1.74694 + 0.808091i
\(724\) 8.14251 + 14.1032i 0.302614 + 0.524143i
\(725\) −22.0853 + 23.4256i −0.820226 + 0.870005i
\(726\) 13.5789 0.195302i 0.503961 0.00724834i
\(727\) −18.3260 + 8.15926i −0.679674 + 0.302610i −0.717383 0.696679i \(-0.754660\pi\)
0.0377098 + 0.999289i \(0.487994\pi\)
\(728\) −1.47553 4.54121i −0.0546867 0.168309i
\(729\) 10.5255 + 24.8639i 0.389833 + 0.920886i
\(730\) 1.47185 + 4.71296i 0.0544755 + 0.174434i
\(731\) −13.1055 14.5551i −0.484724 0.538341i
\(732\) −26.6549 + 0.383371i −0.985194 + 0.0141698i
\(733\) 28.4700 6.05149i 1.05156 0.223517i 0.350461 0.936577i \(-0.386025\pi\)
0.701103 + 0.713060i \(0.252692\pi\)
\(734\) −4.23569 1.88585i −0.156342 0.0696081i
\(735\) −23.3537 4.89268i −0.861415 0.180469i
\(736\) −3.35696 + 1.49461i −0.123739 + 0.0550922i
\(737\) 10.0818 7.32486i 0.371368 0.269815i
\(738\) 5.19988 4.01139i 0.191410 0.147661i
\(739\) −13.5848 9.86991i −0.499724 0.363071i 0.309188 0.951001i \(-0.399943\pi\)
−0.808912 + 0.587930i \(0.799943\pi\)
\(740\) 15.0215 6.48282i 0.552203 0.238313i
\(741\) 19.2865 + 8.25666i 0.708509 + 0.303316i
\(742\) −8.87941 + 1.88738i −0.325973 + 0.0692878i
\(743\) −22.2483 38.5352i −0.816211 1.41372i −0.908455 0.417983i \(-0.862737\pi\)
0.0922434 0.995736i \(-0.470596\pi\)
\(744\) 14.1318 3.21689i 0.518096 0.117937i
\(745\) 13.0869 22.0791i 0.479468 0.808914i
\(746\) −2.31660 7.12976i −0.0848168 0.261039i
\(747\) −11.8189 2.15894i −0.432431 0.0789914i
\(748\) 7.00321 + 5.08813i 0.256063 + 0.186040i
\(749\) −0.263377 + 0.456182i −0.00962357 + 0.0166685i
\(750\) 11.2045 + 12.9556i 0.409129 + 0.473071i
\(751\) −18.8265 32.6085i −0.686990 1.18990i −0.972807 0.231617i \(-0.925598\pi\)
0.285817 0.958284i \(-0.407735\pi\)
\(752\) −0.0461779 + 0.439353i −0.00168393 + 0.0160216i
\(753\) −2.24054 6.57251i −0.0816498 0.239516i
\(754\) 10.2029 + 2.16869i 0.371567 + 0.0789790i
\(755\) 32.3092 + 0.370231i 1.17585 + 0.0134741i
\(756\) −1.55163 + 5.58443i −0.0564324 + 0.203104i
\(757\) 23.9415 0.870167 0.435084 0.900390i \(-0.356719\pi\)
0.435084 + 0.900390i \(0.356719\pi\)
\(758\) 15.2668 + 16.9556i 0.554517 + 0.615853i
\(759\) −1.32496 + 0.992063i −0.0480930 + 0.0360096i
\(760\) −4.87883 + 41.8052i −0.176974 + 1.51643i
\(761\) −2.60057 + 24.7428i −0.0942706 + 0.896924i 0.840533 + 0.541760i \(0.182242\pi\)
−0.934804 + 0.355164i \(0.884425\pi\)
\(762\) −2.00150 16.7255i −0.0725067 0.605899i
\(763\) 1.23376 + 11.7384i 0.0446650 + 0.424959i
\(764\) 6.94938 + 5.04902i 0.251420 + 0.182667i
\(765\) −21.4129 + 24.6253i −0.774184 + 0.890330i
\(766\) −5.45840 + 3.96576i −0.197220 + 0.143289i
\(767\) −2.45236 2.72362i −0.0885494 0.0983441i
\(768\) 14.3716 + 24.0856i 0.518590 + 0.869115i
\(769\) −20.7844 + 4.41785i −0.749503 + 0.159312i −0.566799 0.823856i \(-0.691818\pi\)
−0.182704 + 0.983168i \(0.558485\pi\)
\(770\) 1.79418 1.94729i 0.0646576