Properties

Label 483.2.y.a.16.2
Level $483$
Weight $2$
Character 483.16
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 16.2
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.a.151.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.783498 - 2.26377i) q^{2} +(0.888835 + 0.458227i) q^{3} +(-2.93867 + 2.31100i) q^{4} +(-2.65564 - 0.253583i) q^{5} +(0.340918 - 2.37114i) q^{6} +(-1.79847 + 1.94049i) q^{7} +(3.50353 + 2.25158i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.783498 - 2.26377i) q^{2} +(0.888835 + 0.458227i) q^{3} +(-2.93867 + 2.31100i) q^{4} +(-2.65564 - 0.253583i) q^{5} +(0.340918 - 2.37114i) q^{6} +(-1.79847 + 1.94049i) q^{7} +(3.50353 + 2.25158i) q^{8} +(0.580057 + 0.814576i) q^{9} +(1.50664 + 6.21044i) q^{10} +(0.421481 - 1.21779i) q^{11} +(-3.67096 + 0.707519i) q^{12} +(5.53104 + 1.62406i) q^{13} +(5.80192 + 2.55094i) q^{14} +(-2.24423 - 1.44228i) q^{15} +(0.589275 - 2.42902i) q^{16} +(-1.01153 + 0.404956i) q^{17} +(1.38954 - 1.95133i) q^{18} +(3.52611 + 1.41164i) q^{19} +(8.39010 - 5.39199i) q^{20} +(-2.48773 + 0.900673i) q^{21} -3.08702 q^{22} +(4.79259 + 0.176362i) q^{23} +(2.08233 + 3.60670i) q^{24} +(2.07849 + 0.400597i) q^{25} +(-0.657062 - 13.7934i) q^{26} +(0.142315 + 0.989821i) q^{27} +(0.800634 - 9.85873i) q^{28} +(-0.592854 + 4.12339i) q^{29} +(-1.50664 + 6.21044i) q^{30} +(-0.319146 + 6.69969i) q^{31} +(2.33115 - 0.222598i) q^{32} +(0.932651 - 0.889281i) q^{33} +(1.70926 + 1.97259i) q^{34} +(5.26817 - 4.69720i) q^{35} +(-3.58708 - 1.05326i) q^{36} +(1.30211 + 1.82856i) q^{37} +(0.432930 - 9.08832i) q^{38} +(4.17199 + 3.97799i) q^{39} +(-8.73317 - 6.86784i) q^{40} +(2.81998 + 6.17490i) q^{41} +(3.98805 + 4.92596i) q^{42} +(-3.63034 + 2.33308i) q^{43} +(1.57571 + 4.55273i) q^{44} +(-1.33386 - 2.31032i) q^{45} +(-3.35574 - 10.9875i) q^{46} +(-6.24387 + 10.8147i) q^{47} +(1.63681 - 1.88898i) q^{48} +(-0.531026 - 6.97983i) q^{49} +(-0.721637 - 5.01910i) q^{50} +(-1.08465 - 0.103571i) q^{51} +(-20.0071 + 8.00964i) q^{52} +(-1.16465 - 1.11049i) q^{53} +(2.12922 - 1.09769i) q^{54} +(-1.42811 + 3.12713i) q^{55} +(-10.6702 + 2.74918i) q^{56} +(2.48728 + 2.87047i) q^{57} +(9.79891 - 1.88858i) q^{58} +(-1.58859 - 6.54825i) q^{59} +(9.92817 - 0.948025i) q^{60} +(-3.22008 + 1.66007i) q^{61} +(15.4166 - 4.52672i) q^{62} +(-2.62389 - 0.339392i) q^{63} +(-4.40700 - 9.64999i) q^{64} +(-14.2766 - 5.71550i) q^{65} +(-2.74386 - 1.41456i) q^{66} +(-7.89869 - 1.52235i) q^{67} +(2.03671 - 3.52768i) q^{68} +(4.17901 + 2.35285i) q^{69} +(-14.7610 - 8.24567i) q^{70} +(2.78088 - 3.20931i) q^{71} +(0.198162 + 4.15994i) q^{72} +(-0.271060 + 0.213164i) q^{73} +(3.11923 - 4.38035i) q^{74} +(1.66387 + 1.30849i) q^{75} +(-13.6244 + 4.00048i) q^{76} +(1.60509 + 3.00804i) q^{77} +(5.73650 - 12.5612i) q^{78} +(-5.88172 + 5.60821i) q^{79} +(-2.18086 + 6.30119i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(11.7691 - 11.2218i) q^{82} +(4.72695 - 10.3506i) q^{83} +(5.22916 - 8.39592i) q^{84} +(2.78895 - 0.818911i) q^{85} +(8.12591 + 6.39029i) q^{86} +(-2.41640 + 3.39336i) q^{87} +(4.21863 - 3.31756i) q^{88} +(0.0581127 + 1.21993i) q^{89} +(-4.18494 + 4.82968i) q^{90} +(-13.0989 + 7.81212i) q^{91} +(-14.4914 + 10.5574i) q^{92} +(-3.35364 + 5.80868i) q^{93} +(29.3740 + 5.66138i) q^{94} +(-9.00612 - 4.64298i) q^{95} +(2.17401 + 0.870342i) q^{96} +(-2.45960 - 5.38577i) q^{97} +(-15.3847 + 6.67080i) q^{98} +(1.23647 - 0.363059i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.783498 2.26377i −0.554017 1.60073i −0.779448 0.626467i \(-0.784500\pi\)
0.225431 0.974259i \(-0.427621\pi\)
\(3\) 0.888835 + 0.458227i 0.513169 + 0.264557i
\(4\) −2.93867 + 2.31100i −1.46934 + 1.15550i
\(5\) −2.65564 0.253583i −1.18764 0.113406i −0.517528 0.855666i \(-0.673148\pi\)
−0.670112 + 0.742260i \(0.733754\pi\)
\(6\) 0.340918 2.37114i 0.139179 0.968013i
\(7\) −1.79847 + 1.94049i −0.679757 + 0.733437i
\(8\) 3.50353 + 2.25158i 1.23869 + 0.796055i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) 1.50664 + 6.21044i 0.476441 + 1.96391i
\(11\) 0.421481 1.21779i 0.127081 0.367177i −0.863455 0.504425i \(-0.831704\pi\)
0.990537 + 0.137248i \(0.0438256\pi\)
\(12\) −3.67096 + 0.707519i −1.05971 + 0.204243i
\(13\) 5.53104 + 1.62406i 1.53403 + 0.450433i 0.936282 0.351249i \(-0.114243\pi\)
0.597751 + 0.801681i \(0.296061\pi\)
\(14\) 5.80192 + 2.55094i 1.55063 + 0.681768i
\(15\) −2.24423 1.44228i −0.579458 0.372395i
\(16\) 0.589275 2.42902i 0.147319 0.607256i
\(17\) −1.01153 + 0.404956i −0.245332 + 0.0982162i −0.491070 0.871120i \(-0.663394\pi\)
0.245738 + 0.969336i \(0.420970\pi\)
\(18\) 1.38954 1.95133i 0.327517 0.459934i
\(19\) 3.52611 + 1.41164i 0.808945 + 0.323853i 0.739006 0.673698i \(-0.235295\pi\)
0.0699388 + 0.997551i \(0.477720\pi\)
\(20\) 8.39010 5.39199i 1.87608 1.20569i
\(21\) −2.48773 + 0.900673i −0.542867 + 0.196543i
\(22\) −3.08702 −0.658156
\(23\) 4.79259 + 0.176362i 0.999324 + 0.0367741i
\(24\) 2.08233 + 3.60670i 0.425053 + 0.736214i
\(25\) 2.07849 + 0.400597i 0.415699 + 0.0801194i
\(26\) −0.657062 13.7934i −0.128861 2.70512i
\(27\) 0.142315 + 0.989821i 0.0273885 + 0.190491i
\(28\) 0.800634 9.85873i 0.151306 1.86313i
\(29\) −0.592854 + 4.12339i −0.110090 + 0.765695i 0.857739 + 0.514086i \(0.171869\pi\)
−0.967829 + 0.251609i \(0.919040\pi\)
\(30\) −1.50664 + 6.21044i −0.275073 + 1.13387i
\(31\) −0.319146 + 6.69969i −0.0573202 + 1.20330i 0.768681 + 0.639632i \(0.220913\pi\)
−0.826002 + 0.563668i \(0.809390\pi\)
\(32\) 2.33115 0.222598i 0.412093 0.0393501i
\(33\) 0.932651 0.889281i 0.162354 0.154804i
\(34\) 1.70926 + 1.97259i 0.293135 + 0.338296i
\(35\) 5.26817 4.69720i 0.890483 0.793971i
\(36\) −3.58708 1.05326i −0.597847 0.175544i
\(37\) 1.30211 + 1.82856i 0.214065 + 0.300613i 0.907621 0.419790i \(-0.137896\pi\)
−0.693556 + 0.720403i \(0.743957\pi\)
\(38\) 0.432930 9.08832i 0.0702305 1.47432i
\(39\) 4.17199 + 3.97799i 0.668054 + 0.636988i
\(40\) −8.73317 6.86784i −1.38083 1.08590i
\(41\) 2.81998 + 6.17490i 0.440407 + 0.964357i 0.991523 + 0.129929i \(0.0414748\pi\)
−0.551116 + 0.834429i \(0.685798\pi\)
\(42\) 3.98805 + 4.92596i 0.615369 + 0.760093i
\(43\) −3.63034 + 2.33308i −0.553622 + 0.355791i −0.787345 0.616512i \(-0.788545\pi\)
0.233724 + 0.972303i \(0.424909\pi\)
\(44\) 1.57571 + 4.55273i 0.237548 + 0.686350i
\(45\) −1.33386 2.31032i −0.198840 0.344402i
\(46\) −3.35574 10.9875i −0.494777 1.62002i
\(47\) −6.24387 + 10.8147i −0.910762 + 1.57749i −0.0977722 + 0.995209i \(0.531172\pi\)
−0.812990 + 0.582278i \(0.802162\pi\)
\(48\) 1.63681 1.88898i 0.236253 0.272651i
\(49\) −0.531026 6.97983i −0.0758609 0.997118i
\(50\) −0.721637 5.01910i −0.102055 0.709807i
\(51\) −1.08465 0.103571i −0.151881 0.0145029i
\(52\) −20.0071 + 8.00964i −2.77449 + 1.11074i
\(53\) −1.16465 1.11049i −0.159977 0.152537i 0.605863 0.795569i \(-0.292828\pi\)
−0.765840 + 0.643031i \(0.777676\pi\)
\(54\) 2.12922 1.09769i 0.289751 0.149377i
\(55\) −1.42811 + 3.12713i −0.192567 + 0.421663i
\(56\) −10.6702 + 2.74918i −1.42586 + 0.367374i
\(57\) 2.48728 + 2.87047i 0.329448 + 0.380204i
\(58\) 9.79891 1.88858i 1.28666 0.247983i
\(59\) −1.58859 6.54825i −0.206817 0.852510i −0.976749 0.214385i \(-0.931225\pi\)
0.769933 0.638125i \(-0.220290\pi\)
\(60\) 9.92817 0.948025i 1.28172 0.122390i
\(61\) −3.22008 + 1.66007i −0.412289 + 0.212550i −0.651877 0.758325i \(-0.726018\pi\)
0.239588 + 0.970875i \(0.422988\pi\)
\(62\) 15.4166 4.52672i 1.95791 0.574894i
\(63\) −2.62389 0.339392i −0.330579 0.0427594i
\(64\) −4.40700 9.64999i −0.550876 1.20625i
\(65\) −14.2766 5.71550i −1.77080 0.708920i
\(66\) −2.74386 1.41456i −0.337745 0.174120i
\(67\) −7.89869 1.52235i −0.964979 0.185984i −0.317661 0.948204i \(-0.602897\pi\)
−0.647318 + 0.762220i \(0.724109\pi\)
\(68\) 2.03671 3.52768i 0.246987 0.427794i
\(69\) 4.17901 + 2.35285i 0.503093 + 0.283250i
\(70\) −14.7610 8.24567i −1.76427 0.985546i
\(71\) 2.78088 3.20931i 0.330030 0.380875i −0.566348 0.824167i \(-0.691644\pi\)
0.896377 + 0.443292i \(0.146189\pi\)
\(72\) 0.198162 + 4.15994i 0.0233536 + 0.490253i
\(73\) −0.271060 + 0.213164i −0.0317251 + 0.0249489i −0.633896 0.773419i \(-0.718545\pi\)
0.602171 + 0.798367i \(0.294303\pi\)
\(74\) 3.11923 4.38035i 0.362603 0.509205i
\(75\) 1.66387 + 1.30849i 0.192128 + 0.151091i
\(76\) −13.6244 + 4.00048i −1.56282 + 0.458887i
\(77\) 1.60509 + 3.00804i 0.182917 + 0.342798i
\(78\) 5.73650 12.5612i 0.649530 1.42227i
\(79\) −5.88172 + 5.60821i −0.661746 + 0.630973i −0.944613 0.328186i \(-0.893563\pi\)
0.282868 + 0.959159i \(0.408714\pi\)
\(80\) −2.18086 + 6.30119i −0.243828 + 0.704495i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) 11.7691 11.2218i 1.29968 1.23924i
\(83\) 4.72695 10.3506i 0.518850 1.13612i −0.451023 0.892512i \(-0.648941\pi\)
0.969873 0.243611i \(-0.0783319\pi\)
\(84\) 5.22916 8.39592i 0.570549 0.916070i
\(85\) 2.78895 0.818911i 0.302504 0.0888233i
\(86\) 8.12591 + 6.39029i 0.876240 + 0.689082i
\(87\) −2.41640 + 3.39336i −0.259065 + 0.363806i
\(88\) 4.21863 3.31756i 0.449707 0.353654i
\(89\) 0.0581127 + 1.21993i 0.00615993 + 0.129313i 0.999853 + 0.0171743i \(0.00546701\pi\)
−0.993693 + 0.112139i \(0.964230\pi\)
\(90\) −4.18494 + 4.82968i −0.441132 + 0.509093i
\(91\) −13.0989 + 7.81212i −1.37313 + 0.818933i
\(92\) −14.4914 + 10.5574i −1.51084 + 1.10068i
\(93\) −3.35364 + 5.80868i −0.347757 + 0.602332i
\(94\) 29.3740 + 5.66138i 3.02970 + 0.583927i
\(95\) −9.00612 4.64298i −0.924009 0.476360i
\(96\) 2.17401 + 0.870342i 0.221884 + 0.0888289i
\(97\) −2.45960 5.38577i −0.249734 0.546842i 0.742699 0.669625i \(-0.233545\pi\)
−0.992433 + 0.122783i \(0.960818\pi\)
\(98\) −15.3847 + 6.67080i −1.55409 + 0.673853i
\(99\) 1.23647 0.363059i 0.124269 0.0364888i
\(100\) −7.03379 + 3.62617i −0.703379 + 0.362617i
\(101\) 13.2750 1.26760i 1.32091 0.126131i 0.589331 0.807891i \(-0.299391\pi\)
0.731576 + 0.681760i \(0.238785\pi\)
\(102\) 0.615356 + 2.53653i 0.0609294 + 0.251154i
\(103\) 17.2940 3.33315i 1.70403 0.328425i 0.757939 0.652326i \(-0.226207\pi\)
0.946091 + 0.323901i \(0.104995\pi\)
\(104\) 15.7215 + 18.1435i 1.54162 + 1.77912i
\(105\) 6.83491 1.76102i 0.667019 0.171858i
\(106\) −1.60139 + 3.50656i −0.155541 + 0.340587i
\(107\) −13.1046 + 6.75589i −1.26687 + 0.653116i −0.954886 0.296972i \(-0.904023\pi\)
−0.311982 + 0.950088i \(0.600993\pi\)
\(108\) −2.70569 2.57987i −0.260355 0.248248i
\(109\) 7.06259 2.82744i 0.676474 0.270819i −0.00788057 0.999969i \(-0.502508\pi\)
0.684354 + 0.729150i \(0.260084\pi\)
\(110\) 8.19803 + 0.782817i 0.781652 + 0.0746387i
\(111\) 0.319468 + 2.22195i 0.0303225 + 0.210898i
\(112\) 3.65371 + 5.51201i 0.345243 + 0.520836i
\(113\) −7.63290 + 8.80883i −0.718043 + 0.828665i −0.991070 0.133341i \(-0.957430\pi\)
0.273028 + 0.962006i \(0.411975\pi\)
\(114\) 4.54931 7.87964i 0.426082 0.737996i
\(115\) −12.6827 1.68368i −1.18267 0.157004i
\(116\) −7.78695 13.4874i −0.723000 1.25227i
\(117\) 1.88540 + 5.44750i 0.174305 + 0.503621i
\(118\) −13.5791 + 8.72674i −1.25005 + 0.803361i
\(119\) 1.03339 2.69117i 0.0947308 0.246699i
\(120\) −4.61532 10.1061i −0.421319 0.922561i
\(121\) 7.34122 + 5.77320i 0.667384 + 0.524836i
\(122\) 6.28093 + 5.98886i 0.568649 + 0.542206i
\(123\) −0.323003 + 6.78066i −0.0291242 + 0.611391i
\(124\) −14.5451 20.4257i −1.30619 1.83429i
\(125\) 7.38015 + 2.16701i 0.660101 + 0.193823i
\(126\) 1.28751 + 6.20580i 0.114700 + 0.552857i
\(127\) 11.2998 + 13.0407i 1.00270 + 1.15718i 0.987552 + 0.157290i \(0.0502757\pi\)
0.0151456 + 0.999885i \(0.495179\pi\)
\(128\) −15.0029 + 14.3052i −1.32608 + 1.26441i
\(129\) −4.29585 + 0.410204i −0.378229 + 0.0361165i
\(130\) −1.75286 + 36.7971i −0.153736 + 3.22732i
\(131\) −4.66396 + 19.2251i −0.407492 + 1.67971i 0.285196 + 0.958469i \(0.407941\pi\)
−0.692688 + 0.721237i \(0.743574\pi\)
\(132\) −0.685630 + 4.76866i −0.0596764 + 0.415059i
\(133\) −9.08088 + 4.30360i −0.787412 + 0.373169i
\(134\) 2.74237 + 19.0736i 0.236904 + 1.64771i
\(135\) −0.126935 2.66470i −0.0109249 0.229341i
\(136\) −4.45572 0.858769i −0.382075 0.0736389i
\(137\) 0.696963 + 1.20718i 0.0595456 + 0.103136i 0.894262 0.447545i \(-0.147702\pi\)
−0.834716 + 0.550681i \(0.814368\pi\)
\(138\) 2.05206 11.3038i 0.174683 0.962240i
\(139\) 15.5949 1.32274 0.661371 0.750059i \(-0.269975\pi\)
0.661371 + 0.750059i \(0.269975\pi\)
\(140\) −4.62621 + 25.9783i −0.390986 + 2.19556i
\(141\) −10.5054 + 6.75138i −0.884711 + 0.568569i
\(142\) −9.44395 3.78079i −0.792518 0.317276i
\(143\) 4.30899 6.05113i 0.360336 0.506021i
\(144\) 2.32044 0.928963i 0.193370 0.0774136i
\(145\) 2.62003 10.7999i 0.217582 0.896885i
\(146\) 0.694928 + 0.446603i 0.0575126 + 0.0369611i
\(147\) 2.72635 6.44725i 0.224865 0.531760i
\(148\) −8.05227 2.36436i −0.661892 0.194349i
\(149\) −19.9649 + 3.84792i −1.63559 + 0.315234i −0.922545 0.385888i \(-0.873895\pi\)
−0.713041 + 0.701122i \(0.752683\pi\)
\(150\) 1.65847 4.79182i 0.135413 0.391251i
\(151\) −3.61057 14.8830i −0.293824 1.21116i −0.906972 0.421191i \(-0.861612\pi\)
0.613148 0.789968i \(-0.289903\pi\)
\(152\) 9.17541 + 12.8851i 0.744224 + 1.04512i
\(153\) −0.916612 0.589071i −0.0741037 0.0476236i
\(154\) 5.55191 5.99035i 0.447386 0.482716i
\(155\) 2.54647 17.7111i 0.204537 1.42259i
\(156\) −21.4533 2.04854i −1.71764 0.164014i
\(157\) 10.3923 8.17259i 0.829395 0.652244i −0.110436 0.993883i \(-0.535225\pi\)
0.939831 + 0.341640i \(0.110982\pi\)
\(158\) 17.3040 + 8.92084i 1.37663 + 0.709704i
\(159\) −0.526325 1.52072i −0.0417403 0.120601i
\(160\) −6.24715 −0.493881
\(161\) −8.96155 + 8.98280i −0.706269 + 0.707944i
\(162\) 2.39552 0.188210
\(163\) −6.22818 17.9951i −0.487828 1.40949i −0.873488 0.486846i \(-0.838147\pi\)
0.385659 0.922641i \(-0.373974\pi\)
\(164\) −22.5572 11.6290i −1.76142 0.908075i
\(165\) −2.70229 + 2.12511i −0.210373 + 0.165439i
\(166\) −27.1349 2.59106i −2.10607 0.201106i
\(167\) 2.97225 20.6724i 0.229999 1.59968i −0.468098 0.883677i \(-0.655061\pi\)
0.698097 0.716003i \(-0.254030\pi\)
\(168\) −10.7438 2.44579i −0.828900 0.188697i
\(169\) 17.0185 + 10.9371i 1.30912 + 0.841318i
\(170\) −4.03896 5.67193i −0.309774 0.435017i
\(171\) 0.895455 + 3.69112i 0.0684772 + 0.282267i
\(172\) 5.27664 15.2459i 0.402340 1.16249i
\(173\) 9.78438 1.88579i 0.743893 0.143374i 0.196798 0.980444i \(-0.436946\pi\)
0.547095 + 0.837070i \(0.315734\pi\)
\(174\) 9.57502 + 2.81148i 0.725880 + 0.213138i
\(175\) −4.51546 + 3.31284i −0.341337 + 0.250427i
\(176\) −2.70967 1.74140i −0.204249 0.131263i
\(177\) 1.58859 6.54825i 0.119406 0.492197i
\(178\) 2.71612 1.08737i 0.203582 0.0815018i
\(179\) −0.723944 + 1.01664i −0.0541101 + 0.0759870i −0.840744 0.541432i \(-0.817882\pi\)
0.786634 + 0.617419i \(0.211822\pi\)
\(180\) 9.25892 + 3.70671i 0.690119 + 0.276282i
\(181\) 12.2128 7.84868i 0.907769 0.583388i −0.00131535 0.999999i \(-0.500419\pi\)
0.909085 + 0.416611i \(0.136782\pi\)
\(182\) 27.9478 + 23.5320i 2.07163 + 1.74431i
\(183\) −3.62281 −0.267806
\(184\) 16.3939 + 11.4088i 1.20857 + 0.841068i
\(185\) −2.99425 5.18619i −0.220141 0.381296i
\(186\) 15.7771 + 3.04078i 1.15683 + 0.222961i
\(187\) 0.0668099 + 1.40251i 0.00488562 + 0.102562i
\(188\) −6.64406 46.2105i −0.484568 3.37024i
\(189\) −2.17669 1.50400i −0.158331 0.109400i
\(190\) −3.45435 + 24.0255i −0.250605 + 1.74300i
\(191\) 2.16416 8.92079i 0.156593 0.645485i −0.838358 0.545121i \(-0.816484\pi\)
0.994951 0.100365i \(-0.0320010\pi\)
\(192\) 0.504781 10.5967i 0.0364295 0.764748i
\(193\) −0.935613 + 0.0893403i −0.0673469 + 0.00643085i −0.128675 0.991687i \(-0.541072\pi\)
0.0613282 + 0.998118i \(0.480466\pi\)
\(194\) −10.2650 + 9.78770i −0.736987 + 0.702716i
\(195\) −10.0706 11.6221i −0.721169 0.832274i
\(196\) 17.6909 + 19.2842i 1.26363 + 1.37745i
\(197\) −1.67200 0.490944i −0.119125 0.0349783i 0.221627 0.975132i \(-0.428863\pi\)
−0.340752 + 0.940153i \(0.610682\pi\)
\(198\) −1.79065 2.51462i −0.127256 0.178706i
\(199\) −1.23740 + 25.9761i −0.0877166 + 1.84140i 0.343503 + 0.939152i \(0.388387\pi\)
−0.431219 + 0.902247i \(0.641917\pi\)
\(200\) 6.38009 + 6.08340i 0.451141 + 0.430162i
\(201\) −6.32306 4.97251i −0.445994 0.350734i
\(202\) −13.2705 29.0583i −0.933706 2.04453i
\(203\) −6.93519 8.56622i −0.486755 0.601231i
\(204\) 3.42677 2.20225i 0.239922 0.154188i
\(205\) −5.92302 17.1134i −0.413681 1.19525i
\(206\) −21.0953 36.5381i −1.46978 2.54573i
\(207\) 2.63631 + 4.00623i 0.183236 + 0.278452i
\(208\) 7.20418 12.4780i 0.499520 0.865194i
\(209\) 3.20527 3.69908i 0.221713 0.255871i
\(210\) −9.34168 14.0929i −0.644637 0.972503i
\(211\) 3.29254 + 22.9001i 0.226668 + 1.57651i 0.712000 + 0.702180i \(0.247790\pi\)
−0.485332 + 0.874330i \(0.661301\pi\)
\(212\) 5.98886 + 0.571867i 0.411317 + 0.0392760i
\(213\) 3.94234 1.57827i 0.270124 0.108141i
\(214\) 25.5612 + 24.3725i 1.74733 + 1.66607i
\(215\) 10.2325 5.27523i 0.697852 0.359768i
\(216\) −1.73006 + 3.78830i −0.117716 + 0.257761i
\(217\) −12.4267 12.6685i −0.843581 0.859992i
\(218\) −11.9342 13.7728i −0.808285 0.932811i
\(219\) −0.338605 + 0.0652607i −0.0228808 + 0.00440991i
\(220\) −3.03004 12.4900i −0.204285 0.842076i
\(221\) −6.25248 + 0.597040i −0.420588 + 0.0401612i
\(222\) 4.77967 2.46409i 0.320791 0.165379i
\(223\) −1.47412 + 0.432840i −0.0987142 + 0.0289851i −0.330717 0.943730i \(-0.607290\pi\)
0.232002 + 0.972715i \(0.425472\pi\)
\(224\) −3.76055 + 4.92391i −0.251262 + 0.328993i
\(225\) 0.879328 + 1.92546i 0.0586219 + 0.128364i
\(226\) 25.9215 + 10.3774i 1.72427 + 0.690295i
\(227\) −1.33902 0.690314i −0.0888740 0.0458178i 0.413216 0.910633i \(-0.364405\pi\)
−0.502091 + 0.864815i \(0.667436\pi\)
\(228\) −13.9430 2.68729i −0.923396 0.177970i
\(229\) 10.8347 18.7663i 0.715977 1.24011i −0.246604 0.969116i \(-0.579315\pi\)
0.962581 0.270993i \(-0.0873520\pi\)
\(230\) 6.12540 + 30.0298i 0.403897 + 1.98011i
\(231\) 0.0483005 + 3.40915i 0.00317794 + 0.224305i
\(232\) −11.3612 + 13.1116i −0.745902 + 0.860817i
\(233\) −1.13812 23.8921i −0.0745608 1.56522i −0.657970 0.753045i \(-0.728584\pi\)
0.583409 0.812179i \(-0.301719\pi\)
\(234\) 10.8547 8.53620i 0.709592 0.558029i
\(235\) 19.3239 27.1367i 1.26055 1.77020i
\(236\) 19.8013 + 15.5719i 1.28896 + 1.01365i
\(237\) −7.79772 + 2.28962i −0.506516 + 0.148727i
\(238\) −6.90184 0.230835i −0.447380 0.0149628i
\(239\) −8.37318 + 18.3347i −0.541616 + 1.18597i 0.418972 + 0.907999i \(0.362390\pi\)
−0.960588 + 0.277975i \(0.910337\pi\)
\(240\) −4.82580 + 4.60139i −0.311504 + 0.297019i
\(241\) −1.85584 + 5.36210i −0.119545 + 0.345404i −0.988859 0.148858i \(-0.952440\pi\)
0.869313 + 0.494262i \(0.164561\pi\)
\(242\) 7.31736 21.1421i 0.470377 1.35907i
\(243\) −0.723734 + 0.690079i −0.0464276 + 0.0442686i
\(244\) 5.62635 12.3200i 0.360190 0.788707i
\(245\) −0.359751 + 18.6706i −0.0229837 + 1.19282i
\(246\) 15.6029 4.58143i 0.994806 0.292101i
\(247\) 17.2105 + 13.5345i 1.09508 + 0.861177i
\(248\) −16.2030 + 22.7540i −1.02889 + 1.44488i
\(249\) 8.94439 7.03394i 0.566827 0.445758i
\(250\) −0.876729 18.4048i −0.0554492 1.16402i
\(251\) −13.7837 + 15.9072i −0.870020 + 1.00406i 0.129902 + 0.991527i \(0.458534\pi\)
−0.999922 + 0.0125296i \(0.996012\pi\)
\(252\) 8.49510 5.06645i 0.535141 0.319156i
\(253\) 2.23476 5.76203i 0.140498 0.362256i
\(254\) 20.6677 35.7976i 1.29681 2.24614i
\(255\) 2.85417 + 0.550096i 0.178735 + 0.0344483i
\(256\) 25.2796 + 13.0326i 1.57998 + 0.814535i
\(257\) −7.34763 2.94155i −0.458332 0.183489i 0.130995 0.991383i \(-0.458183\pi\)
−0.589327 + 0.807894i \(0.700607\pi\)
\(258\) 4.29440 + 9.40342i 0.267358 + 0.585431i
\(259\) −5.89010 0.761867i −0.365993 0.0473401i
\(260\) 55.1629 16.1973i 3.42106 1.00451i
\(261\) −3.70271 + 1.90888i −0.229192 + 0.118157i
\(262\) 47.1754 4.50471i 2.91451 0.278302i
\(263\) −1.08194 4.45980i −0.0667150 0.275003i 0.928677 0.370889i \(-0.120947\pi\)
−0.995392 + 0.0958856i \(0.969432\pi\)
\(264\) 5.26986 1.01568i 0.324338 0.0625109i
\(265\) 2.81129 + 3.24440i 0.172696 + 0.199302i
\(266\) 16.8572 + 17.1851i 1.03358 + 1.05369i
\(267\) −0.507354 + 1.11095i −0.0310496 + 0.0679890i
\(268\) 26.7298 13.7802i 1.63278 0.841759i
\(269\) 9.09863 + 8.67552i 0.554753 + 0.528956i 0.914762 0.403993i \(-0.132378\pi\)
−0.360009 + 0.932949i \(0.617226\pi\)
\(270\) −5.93281 + 2.37514i −0.361060 + 0.144546i
\(271\) −13.2271 1.26304i −0.803492 0.0767242i −0.314775 0.949166i \(-0.601929\pi\)
−0.488717 + 0.872442i \(0.662535\pi\)
\(272\) 0.387578 + 2.69566i 0.0235003 + 0.163448i
\(273\) −15.2225 + 0.941441i −0.921305 + 0.0569786i
\(274\) 2.18670 2.52358i 0.132103 0.152455i
\(275\) 1.36389 2.36232i 0.0822456 0.142454i
\(276\) −17.7182 + 2.74343i −1.06651 + 0.165135i
\(277\) −6.16059 10.6705i −0.370154 0.641125i 0.619435 0.785048i \(-0.287362\pi\)
−0.989589 + 0.143923i \(0.954028\pi\)
\(278\) −12.2186 35.3032i −0.732821 2.11735i
\(279\) −5.64253 + 3.62623i −0.337809 + 0.217097i
\(280\) 29.0333 4.59506i 1.73507 0.274607i
\(281\) −12.2409 26.8037i −0.730228 1.59898i −0.798991 0.601343i \(-0.794632\pi\)
0.0687629 0.997633i \(-0.478095\pi\)
\(282\) 23.5145 + 18.4920i 1.40027 + 1.10118i
\(283\) −3.37546 3.21850i −0.200650 0.191320i 0.583091 0.812407i \(-0.301843\pi\)
−0.783742 + 0.621087i \(0.786691\pi\)
\(284\) −0.755396 + 15.8577i −0.0448245 + 0.940983i
\(285\) −5.87743 8.25369i −0.348149 0.488906i
\(286\) −17.0744 5.01351i −1.00963 0.296455i
\(287\) −17.0540 5.63320i −1.00667 0.332517i
\(288\) 1.53352 + 1.76978i 0.0903637 + 0.104285i
\(289\) −11.4443 + 10.9121i −0.673193 + 0.641888i
\(290\) −26.5013 + 2.53057i −1.55621 + 0.148600i
\(291\) 0.281724 5.91411i 0.0165150 0.346692i
\(292\) 0.303935 1.25284i 0.0177864 0.0733167i
\(293\) 2.12144 14.7549i 0.123936 0.861993i −0.829092 0.559112i \(-0.811142\pi\)
0.953028 0.302881i \(-0.0979486\pi\)
\(294\) −16.7312 1.12041i −0.975782 0.0653439i
\(295\) 2.55820 + 17.7927i 0.148944 + 1.03593i
\(296\) 0.444834 + 9.33821i 0.0258554 + 0.542773i
\(297\) 1.26538 + 0.243882i 0.0734246 + 0.0141514i
\(298\) 24.3532 + 42.1810i 1.41074 + 2.44348i
\(299\) 26.2216 + 8.75891i 1.51643 + 0.506541i
\(300\) −7.91349 −0.456886
\(301\) 2.00173 11.2406i 0.115378 0.647898i
\(302\) −30.8627 + 19.8343i −1.77595 + 1.14133i
\(303\) 12.3801 + 4.95624i 0.711218 + 0.284729i
\(304\) 5.50676 7.73316i 0.315834 0.443527i
\(305\) 8.97235 3.59199i 0.513755 0.205677i
\(306\) −0.615356 + 2.53653i −0.0351776 + 0.145004i
\(307\) −17.4896 11.2399i −0.998184 0.641494i −0.0638751 0.997958i \(-0.520346\pi\)
−0.934309 + 0.356464i \(0.883982\pi\)
\(308\) −11.6684 5.13027i −0.664869 0.292324i
\(309\) 16.8989 + 4.96195i 0.961343 + 0.282276i
\(310\) −42.0889 + 8.11197i −2.39049 + 0.460729i
\(311\) −7.86573 + 22.7265i −0.446025 + 1.28870i 0.468245 + 0.883598i \(0.344886\pi\)
−0.914270 + 0.405105i \(0.867235\pi\)
\(312\) 5.65994 + 23.3306i 0.320431 + 1.32084i
\(313\) −4.06123 5.70320i −0.229554 0.322364i 0.683693 0.729770i \(-0.260373\pi\)
−0.913247 + 0.407406i \(0.866433\pi\)
\(314\) −26.6432 17.1225i −1.50356 0.966281i
\(315\) 6.88206 + 1.56668i 0.387760 + 0.0882724i
\(316\) 4.32390 30.0734i 0.243238 1.69176i
\(317\) −11.6589 1.11329i −0.654831 0.0625287i −0.237648 0.971351i \(-0.576376\pi\)
−0.417183 + 0.908823i \(0.636982\pi\)
\(318\) −3.03017 + 2.38295i −0.169924 + 0.133629i
\(319\) 4.77155 + 2.45990i 0.267155 + 0.137728i
\(320\) 9.25636 + 26.7445i 0.517446 + 1.49506i
\(321\) −14.7436 −0.822905
\(322\) 27.3563 + 13.2489i 1.52451 + 0.738330i
\(323\) −4.13842 −0.230268
\(324\) −1.22275 3.53290i −0.0679305 0.196272i
\(325\) 10.8456 + 5.59131i 0.601608 + 0.310150i
\(326\) −35.8571 + 28.1983i −1.98594 + 1.56176i
\(327\) 7.57309 + 0.723142i 0.418793 + 0.0399899i
\(328\) −4.02340 + 27.9834i −0.222155 + 1.54512i
\(329\) −9.75645 31.5661i −0.537891 1.74029i
\(330\) 6.92800 + 4.45235i 0.381374 + 0.245094i
\(331\) 7.32022 + 10.2798i 0.402356 + 0.565029i 0.965193 0.261538i \(-0.0842297\pi\)
−0.562838 + 0.826568i \(0.690290\pi\)
\(332\) 10.0292 + 41.3409i 0.550424 + 2.26888i
\(333\) −0.734201 + 2.12133i −0.0402340 + 0.116248i
\(334\) −49.1263 + 9.46832i −2.68807 + 0.518084i
\(335\) 20.5901 + 6.04579i 1.12496 + 0.330317i
\(336\) 0.721802 + 6.57349i 0.0393775 + 0.358614i
\(337\) −25.2906 16.2533i −1.37767 0.885373i −0.378477 0.925611i \(-0.623552\pi\)
−0.999190 + 0.0402373i \(0.987189\pi\)
\(338\) 11.4252 47.0952i 0.621447 2.56164i
\(339\) −10.8208 + 4.33201i −0.587707 + 0.235282i
\(340\) −6.30332 + 8.85178i −0.341846 + 0.480055i
\(341\) 8.02430 + 3.21245i 0.434540 + 0.173964i
\(342\) 7.65425 4.91909i 0.413894 0.265994i
\(343\) 14.4993 + 11.5225i 0.782891 + 0.622159i
\(344\) −17.9721 −0.968992
\(345\) −10.5013 7.30805i −0.565372 0.393452i
\(346\) −11.9350 20.6721i −0.641631 1.11134i
\(347\) 29.6352 + 5.71172i 1.59090 + 0.306621i 0.906410 0.422399i \(-0.138812\pi\)
0.684492 + 0.729020i \(0.260024\pi\)
\(348\) −0.741036 15.5563i −0.0397237 0.833903i
\(349\) 1.64942 + 11.4719i 0.0882913 + 0.614079i 0.985141 + 0.171745i \(0.0549405\pi\)
−0.896850 + 0.442334i \(0.854150\pi\)
\(350\) 11.0374 + 7.62635i 0.589972 + 0.407646i
\(351\) −0.820380 + 5.70587i −0.0437886 + 0.304557i
\(352\) 0.711458 2.93267i 0.0379209 0.156312i
\(353\) 1.26422 26.5393i 0.0672878 1.41254i −0.672695 0.739920i \(-0.734864\pi\)
0.739983 0.672625i \(-0.234833\pi\)
\(354\) −16.0684 + 1.53434i −0.854025 + 0.0815495i
\(355\) −8.19885 + 7.81759i −0.435150 + 0.414915i
\(356\) −2.99004 3.45069i −0.158472 0.182886i
\(357\) 2.15168 1.91848i 0.113879 0.101537i
\(358\) 2.86864 + 0.842308i 0.151612 + 0.0445174i
\(359\) 2.89770 + 4.06925i 0.152935 + 0.214767i 0.883934 0.467611i \(-0.154885\pi\)
−0.731000 + 0.682378i \(0.760946\pi\)
\(360\) 0.528642 11.0976i 0.0278619 0.584893i
\(361\) −3.31023 3.15629i −0.174222 0.166121i
\(362\) −27.3363 21.4975i −1.43676 1.12988i
\(363\) 3.87970 + 8.49536i 0.203632 + 0.445891i
\(364\) 20.4395 53.2287i 1.07132 2.78994i
\(365\) 0.773892 0.497350i 0.0405074 0.0260325i
\(366\) 2.83846 + 8.20120i 0.148369 + 0.428684i
\(367\) −4.92714 8.53406i −0.257195 0.445474i 0.708295 0.705917i \(-0.249465\pi\)
−0.965489 + 0.260443i \(0.916131\pi\)
\(368\) 3.25254 11.5374i 0.169550 0.601428i
\(369\) −3.39417 + 5.87888i −0.176694 + 0.306042i
\(370\) −9.39434 + 10.8417i −0.488389 + 0.563631i
\(371\) 4.24948 0.262811i 0.220622 0.0136445i
\(372\) −3.56859 24.8201i −0.185023 1.28686i
\(373\) 12.4825 + 1.19193i 0.646318 + 0.0617159i 0.413067 0.910701i \(-0.364457\pi\)
0.233251 + 0.972416i \(0.425064\pi\)
\(374\) 3.12262 1.25011i 0.161467 0.0646415i
\(375\) 5.56676 + 5.30790i 0.287466 + 0.274099i
\(376\) −46.2258 + 23.8311i −2.38391 + 1.22899i
\(377\) −9.97573 + 21.8438i −0.513776 + 1.12501i
\(378\) −1.69928 + 6.10591i −0.0874015 + 0.314054i
\(379\) 11.0029 + 12.6980i 0.565179 + 0.652251i 0.964351 0.264625i \(-0.0852481\pi\)
−0.399173 + 0.916876i \(0.630703\pi\)
\(380\) 37.1960 7.16894i 1.90811 0.367759i
\(381\) 4.06810 + 16.7689i 0.208415 + 0.859098i
\(382\) −21.8902 + 2.09026i −1.12000 + 0.106947i
\(383\) 2.11269 1.08917i 0.107954 0.0556540i −0.403404 0.915022i \(-0.632173\pi\)
0.511358 + 0.859368i \(0.329143\pi\)
\(384\) −19.8901 + 5.84026i −1.01501 + 0.298035i
\(385\) −3.49976 8.39530i −0.178365 0.427864i
\(386\) 0.935297 + 2.04801i 0.0476054 + 0.104241i
\(387\) −4.00627 1.60387i −0.203650 0.0815293i
\(388\) 19.6745 + 10.1429i 0.998819 + 0.514927i
\(389\) −21.7262 4.18738i −1.10156 0.212308i −0.394104 0.919066i \(-0.628945\pi\)
−0.707456 + 0.706757i \(0.750157\pi\)
\(390\) −18.4194 + 31.9033i −0.932702 + 1.61549i
\(391\) −4.91927 + 1.76239i −0.248778 + 0.0891279i
\(392\) 13.8552 25.6497i 0.699793 1.29551i
\(393\) −12.9550 + 14.9508i −0.653491 + 0.754169i
\(394\) 0.198626 + 4.16968i 0.0100067 + 0.210066i
\(395\) 17.0419 13.4019i 0.857471 0.674323i
\(396\) −2.79454 + 3.92438i −0.140431 + 0.197208i
\(397\) 10.7024 + 8.41643i 0.537136 + 0.422409i 0.849527 0.527545i \(-0.176887\pi\)
−0.312391 + 0.949954i \(0.601130\pi\)
\(398\) 59.7734 17.5511i 2.99617 0.879755i
\(399\) −10.0434 0.335906i −0.502800 0.0168163i
\(400\) 2.19786 4.81265i 0.109893 0.240633i
\(401\) 8.97107 8.55390i 0.447994 0.427161i −0.432198 0.901779i \(-0.642262\pi\)
0.880192 + 0.474617i \(0.157413\pi\)
\(402\) −6.30251 + 18.2099i −0.314340 + 0.908227i
\(403\) −12.6459 + 36.5379i −0.629937 + 1.82008i
\(404\) −36.0813 + 34.4035i −1.79511 + 1.71164i
\(405\) 1.10821 2.42665i 0.0550675 0.120581i
\(406\) −13.9582 + 22.4113i −0.692736 + 1.11225i
\(407\) 2.77561 0.814993i 0.137582 0.0403977i
\(408\) −3.56689 2.80503i −0.176587 0.138870i
\(409\) 15.2999 21.4857i 0.756530 1.06240i −0.239280 0.970951i \(-0.576911\pi\)
0.995810 0.0914470i \(-0.0291492\pi\)
\(410\) −34.1002 + 26.8167i −1.68409 + 1.32438i
\(411\) 0.0663257 + 1.39235i 0.00327160 + 0.0686794i
\(412\) −43.1186 + 49.7615i −2.12430 + 2.45157i
\(413\) 15.5639 + 8.69418i 0.765848 + 0.427812i
\(414\) 7.00363 9.10687i 0.344209 0.447578i
\(415\) −15.1778 + 26.2888i −0.745050 + 1.29046i
\(416\) 13.2552 + 2.55473i 0.649889 + 0.125256i
\(417\) 13.8613 + 7.14599i 0.678790 + 0.349941i
\(418\) −10.8852 4.35777i −0.532412 0.213146i
\(419\) 8.74372 + 19.1461i 0.427159 + 0.935347i 0.993779 + 0.111368i \(0.0355232\pi\)
−0.566621 + 0.823979i \(0.691750\pi\)
\(420\) −16.0159 + 20.9705i −0.781494 + 1.02326i
\(421\) 6.84173 2.00891i 0.333446 0.0979085i −0.110724 0.993851i \(-0.535317\pi\)
0.444170 + 0.895943i \(0.353499\pi\)
\(422\) 49.2609 25.3958i 2.39798 1.23625i
\(423\) −12.4312 + 1.18704i −0.604425 + 0.0577156i
\(424\) −1.58002 6.51294i −0.0767326 0.316296i
\(425\) −2.26468 + 0.436482i −0.109853 + 0.0211725i
\(426\) −6.66166 7.68796i −0.322758 0.372483i
\(427\) 2.56986 9.23412i 0.124364 0.446870i
\(428\) 22.8973 50.1380i 1.10678 2.42351i
\(429\) 6.60277 3.40397i 0.318785 0.164345i
\(430\) −19.9591 19.0309i −0.962511 0.917752i
\(431\) −0.0612775 + 0.0245318i −0.00295163 + 0.00118166i −0.373138 0.927776i \(-0.621718\pi\)
0.370186 + 0.928958i \(0.379294\pi\)
\(432\) 2.48816 + 0.237591i 0.119712 + 0.0114311i
\(433\) −1.50077 10.4381i −0.0721225 0.501623i −0.993579 0.113141i \(-0.963909\pi\)
0.921456 0.388482i \(-0.127000\pi\)
\(434\) −18.9422 + 38.0570i −0.909254 + 1.82679i
\(435\) 7.27759 8.39879i 0.348934 0.402691i
\(436\) −14.2205 + 24.6305i −0.681036 + 1.17959i
\(437\) 16.6502 + 7.38729i 0.796489 + 0.353382i
\(438\) 0.413031 + 0.715391i 0.0197354 + 0.0341827i
\(439\) 2.06521 + 5.96704i 0.0985673 + 0.284792i 0.983495 0.180938i \(-0.0579133\pi\)
−0.884927 + 0.465729i \(0.845792\pi\)
\(440\) −12.0444 + 7.74050i −0.574196 + 0.369014i
\(441\) 5.37758 4.48126i 0.256075 0.213393i
\(442\) 6.25037 + 13.6864i 0.297300 + 0.650995i
\(443\) 16.2780 + 12.8011i 0.773390 + 0.608200i 0.924880 0.380258i \(-0.124165\pi\)
−0.151491 + 0.988459i \(0.548407\pi\)
\(444\) −6.07373 5.79129i −0.288246 0.274842i
\(445\) 0.155028 3.25445i 0.00734905 0.154276i
\(446\) 2.13482 + 2.99793i 0.101087 + 0.141956i
\(447\) −19.5087 5.72827i −0.922730 0.270938i
\(448\) 26.6516 + 8.80344i 1.25917 + 0.415924i
\(449\) 5.52611 + 6.37747i 0.260793 + 0.300971i 0.871012 0.491261i \(-0.163464\pi\)
−0.610219 + 0.792233i \(0.708919\pi\)
\(450\) 3.66984 3.49919i 0.172998 0.164953i
\(451\) 8.70830 0.831542i 0.410058 0.0391558i
\(452\) 2.07339 43.5259i 0.0975243 2.04729i
\(453\) 3.61057 14.8830i 0.169639 0.699263i
\(454\) −0.513590 + 3.57210i −0.0241040 + 0.167647i
\(455\) 36.7669 17.4246i 1.72366 0.816876i
\(456\) 2.25115 + 15.6571i 0.105420 + 0.733211i
\(457\) −1.52021 31.9131i −0.0711124 1.49283i −0.699333 0.714797i \(-0.746519\pi\)
0.628220 0.778036i \(-0.283784\pi\)
\(458\) −50.9714 9.82394i −2.38174 0.459042i
\(459\) −0.544790 0.943603i −0.0254286 0.0440436i
\(460\) 41.1612 24.3619i 1.91915 1.13588i
\(461\) 9.62413 0.448241 0.224120 0.974561i \(-0.428049\pi\)
0.224120 + 0.974561i \(0.428049\pi\)
\(462\) 7.67967 2.78040i 0.357291 0.129356i
\(463\) −8.85798 + 5.69268i −0.411665 + 0.264561i −0.730041 0.683403i \(-0.760499\pi\)
0.318376 + 0.947965i \(0.396863\pi\)
\(464\) 9.66647 + 3.86987i 0.448754 + 0.179654i
\(465\) 10.3791 14.5754i 0.481318 0.675916i
\(466\) −53.1945 + 21.2959i −2.46419 + 0.986511i
\(467\) −3.09621 + 12.7627i −0.143275 + 0.590589i 0.854223 + 0.519906i \(0.174033\pi\)
−0.997499 + 0.0706832i \(0.977482\pi\)
\(468\) −18.1297 11.6513i −0.838047 0.538580i
\(469\) 17.1597 12.5895i 0.792359 0.581328i
\(470\) −76.5714 22.4834i −3.53197 1.03708i
\(471\) 12.9819 2.50206i 0.598176 0.115289i
\(472\) 9.17826 26.5188i 0.422464 1.22063i
\(473\) 1.31108 + 5.40434i 0.0602834 + 0.248492i
\(474\) 11.2927 + 15.8583i 0.518689 + 0.728397i
\(475\) 6.76350 + 4.34664i 0.310331 + 0.199437i
\(476\) 3.18248 + 10.2966i 0.145869 + 0.471945i
\(477\) 0.229016 1.59284i 0.0104859 0.0729312i
\(478\) 48.0659 + 4.58974i 2.19848 + 0.209930i
\(479\) −9.37280 + 7.37085i −0.428254 + 0.336783i −0.808908 0.587935i \(-0.799941\pi\)
0.380654 + 0.924717i \(0.375699\pi\)
\(480\) −5.55269 2.86261i −0.253444 0.130660i
\(481\) 4.23233 + 12.2285i 0.192978 + 0.557572i
\(482\) 13.5926 0.619127
\(483\) −12.0815 + 3.87781i −0.549727 + 0.176447i
\(484\) −34.9153 −1.58706
\(485\) 5.16607 + 14.9264i 0.234579 + 0.677772i
\(486\) 2.12922 + 1.09769i 0.0965835 + 0.0497923i
\(487\) 8.06126 6.33945i 0.365291 0.287268i −0.418595 0.908173i \(-0.637477\pi\)
0.783886 + 0.620905i \(0.213235\pi\)
\(488\) −15.0194 1.43418i −0.679898 0.0649223i
\(489\) 2.71002 18.8486i 0.122551 0.852364i
\(490\) 42.5478 13.8140i 1.92211 0.624052i
\(491\) 8.69754 + 5.58957i 0.392514 + 0.252254i 0.721980 0.691914i \(-0.243232\pi\)
−0.329466 + 0.944168i \(0.606869\pi\)
\(492\) −14.7209 20.6726i −0.663669 0.931993i
\(493\) −1.07010 4.41102i −0.0481949 0.198662i
\(494\) 17.1545 49.5647i 0.771818 2.23002i
\(495\) −3.37568 + 0.650608i −0.151725 + 0.0292427i
\(496\) 16.0856 + 4.72317i 0.722267 + 0.212077i
\(497\) 1.22631 + 11.1681i 0.0550077 + 0.500959i
\(498\) −22.9311 14.7369i −1.02757 0.660378i
\(499\) 5.77490 23.8045i 0.258520 1.06563i −0.683466 0.729983i \(-0.739528\pi\)
0.941986 0.335652i \(-0.108957\pi\)
\(500\) −26.6958 + 10.6874i −1.19387 + 0.477955i
\(501\) 12.1145 17.0124i 0.541235 0.760059i
\(502\) 46.8098 + 18.7398i 2.08923 + 0.836400i
\(503\) −18.9195 + 12.1588i −0.843579 + 0.542136i −0.889566 0.456807i \(-0.848993\pi\)
0.0459867 + 0.998942i \(0.485357\pi\)
\(504\) −8.42872 7.09698i −0.375445 0.316125i
\(505\) −35.5750 −1.58307
\(506\) −14.7948 0.544435i −0.657711 0.0242031i
\(507\) 10.1150 + 17.5196i 0.449222 + 0.778075i
\(508\) −63.3436 12.2085i −2.81042 0.541663i
\(509\) −0.308262 6.47121i −0.0136635 0.286831i −0.995350 0.0963268i \(-0.969291\pi\)
0.981686 0.190505i \(-0.0610124\pi\)
\(510\) −0.990945 6.89217i −0.0438798 0.305191i
\(511\) 0.0738495 0.909357i 0.00326691 0.0402276i
\(512\) 3.79584 26.4006i 0.167754 1.16675i
\(513\) −0.895455 + 3.69112i −0.0395353 + 0.162967i
\(514\) −0.902129 + 18.9380i −0.0397912 + 0.835320i
\(515\) −46.7720 + 4.46618i −2.06102 + 0.196803i
\(516\) 11.6761 11.1332i 0.514013 0.490110i
\(517\) 10.5384 + 12.1619i 0.463477 + 0.534880i
\(518\) 2.89019 + 13.9308i 0.126988 + 0.612082i
\(519\) 9.56082 + 2.80731i 0.419674 + 0.123227i
\(520\) −37.1497 52.1694i −1.62912 2.28778i
\(521\) 0.129853 2.72595i 0.00568896 0.119426i −0.994236 0.107210i \(-0.965808\pi\)
0.999925 0.0122162i \(-0.00388862\pi\)
\(522\) 7.22232 + 6.88647i 0.316112 + 0.301413i
\(523\) 17.5291 + 13.7850i 0.766493 + 0.602777i 0.922955 0.384907i \(-0.125767\pi\)
−0.156462 + 0.987684i \(0.550009\pi\)
\(524\) −30.7234 67.2748i −1.34216 2.93891i
\(525\) −5.53153 + 0.875468i −0.241416 + 0.0382086i
\(526\) −9.24826 + 5.94350i −0.403243 + 0.259149i
\(527\) −2.39025 6.90618i −0.104121 0.300838i
\(528\) −1.61050 2.78946i −0.0700879 0.121396i
\(529\) 22.9378 + 1.69046i 0.997295 + 0.0734984i
\(530\) 5.14193 8.90609i 0.223351 0.386856i
\(531\) 4.41258 5.09238i 0.191490 0.220991i
\(532\) 16.7401 33.6328i 0.725776 1.45817i
\(533\) 5.56902 + 38.7334i 0.241221 + 1.67773i
\(534\) 2.91244 + 0.278105i 0.126034 + 0.0120348i
\(535\) 36.5143 14.6181i 1.57865 0.631996i
\(536\) −24.2456 23.1182i −1.04725 0.998552i
\(537\) −1.10932 + 0.571892i −0.0478705 + 0.0246790i
\(538\) 12.5106 27.3944i 0.539371 1.18106i
\(539\) −8.72378 2.29519i −0.375760 0.0988607i
\(540\) 6.53114 + 7.53734i 0.281056 + 0.324355i
\(541\) 12.5318 2.41531i 0.538784 0.103842i 0.0874025 0.996173i \(-0.472143\pi\)
0.451382 + 0.892331i \(0.350931\pi\)
\(542\) 7.50422 + 30.9328i 0.322334 + 1.32868i
\(543\) 14.4516 1.37996i 0.620179 0.0592199i
\(544\) −2.26789 + 1.16918i −0.0972348 + 0.0501280i
\(545\) −19.4727 + 5.71770i −0.834119 + 0.244920i
\(546\) 14.0580 + 33.7225i 0.601626 + 1.44319i
\(547\) −15.9005 34.8173i −0.679857 1.48868i −0.862794 0.505555i \(-0.831288\pi\)
0.182937 0.983125i \(-0.441439\pi\)
\(548\) −4.83793 1.93681i −0.206666 0.0827366i
\(549\) −3.22008 1.66007i −0.137430 0.0708499i
\(550\) −6.41636 1.23665i −0.273595 0.0527310i
\(551\) −7.91122 + 13.7026i −0.337029 + 0.583752i
\(552\) 9.34365 + 17.6527i 0.397692 + 0.751347i
\(553\) −0.304605 21.4996i −0.0129531 0.914257i
\(554\) −19.3286 + 22.3064i −0.821195 + 0.947709i
\(555\) −0.284944 5.98171i −0.0120952 0.253909i
\(556\) −45.8283 + 36.0398i −1.94355 + 1.52843i
\(557\) −4.26921 + 5.99526i −0.180892 + 0.254028i −0.895059 0.445948i \(-0.852867\pi\)
0.714167 + 0.699976i \(0.246806\pi\)
\(558\) 12.6299 + 9.93223i 0.534665 + 0.420465i
\(559\) −23.8686 + 7.00845i −1.00953 + 0.296426i
\(560\) −8.30521 15.5644i −0.350959 0.657718i
\(561\) −0.583285 + 1.27722i −0.0246263 + 0.0539241i
\(562\) −51.0868 + 48.7111i −2.15496 + 2.05475i
\(563\) 10.0483 29.0328i 0.423487 1.22359i −0.508490 0.861068i \(-0.669796\pi\)
0.931977 0.362518i \(-0.118083\pi\)
\(564\) 15.2694 44.1180i 0.642957 1.85770i
\(565\) 22.5040 21.4575i 0.946752 0.902726i
\(566\) −4.64127 + 10.1630i −0.195087 + 0.427181i
\(567\) −1.24555 2.33423i −0.0523080 0.0980283i
\(568\) 16.9689 4.98253i 0.712000 0.209062i
\(569\) −8.78006 6.90471i −0.368079 0.289461i 0.416938 0.908935i \(-0.363103\pi\)
−0.785017 + 0.619474i \(0.787346\pi\)
\(570\) −14.0795 + 19.7719i −0.589725 + 0.828153i
\(571\) 19.1597 15.0674i 0.801811 0.630551i −0.130811 0.991407i \(-0.541758\pi\)
0.932621 + 0.360857i \(0.117516\pi\)
\(572\) 1.32144 + 27.7404i 0.0552520 + 1.15988i
\(573\) 6.01132 6.93744i 0.251127 0.289816i
\(574\) 0.609503 + 43.0199i 0.0254402 + 1.79562i
\(575\) 9.89071 + 2.28646i 0.412471 + 0.0953521i
\(576\) 5.30434 9.18739i 0.221014 0.382808i
\(577\) −10.2495 1.97544i −0.426694 0.0822385i −0.0286166 0.999590i \(-0.509110\pi\)
−0.398077 + 0.917352i \(0.630322\pi\)
\(578\) 33.6690 + 17.3576i 1.40045 + 0.721980i
\(579\) −0.872544 0.349314i −0.0362617 0.0145170i
\(580\) 17.2592 + 37.7923i 0.716649 + 1.56924i
\(581\) 11.5839 + 27.7878i 0.480583 + 1.15283i
\(582\) −13.6089 + 3.99594i −0.564108 + 0.165637i
\(583\) −1.84322 + 0.950246i −0.0763384 + 0.0393552i
\(584\) −1.42962 + 0.136512i −0.0591581 + 0.00564892i
\(585\) −3.62555 14.9447i −0.149898 0.617888i
\(586\) −35.0639 + 6.75802i −1.44848 + 0.279171i
\(587\) −14.2325 16.4252i −0.587437 0.677939i 0.381749 0.924266i \(-0.375322\pi\)
−0.969187 + 0.246327i \(0.920776\pi\)
\(588\) 6.88774 + 25.2469i 0.284046 + 1.04117i
\(589\) −10.5829 + 23.1733i −0.436061 + 0.954840i
\(590\) 38.2741 19.7317i 1.57572 0.812341i
\(591\) −1.26117 1.20252i −0.0518777 0.0494653i
\(592\) 5.20891 2.08533i 0.214085 0.0857066i
\(593\) 16.0463 + 1.53223i 0.658942 + 0.0629213i 0.419170 0.907908i \(-0.362321\pi\)
0.239772 + 0.970829i \(0.422927\pi\)
\(594\) −0.439329 3.05560i −0.0180259 0.125373i
\(595\) −3.42675 + 6.88473i −0.140483 + 0.282246i
\(596\) 49.7777 57.4466i 2.03898 2.35310i
\(597\) −13.0028 + 22.5215i −0.532169 + 0.921743i
\(598\) −0.716386 66.2221i −0.0292952 2.70802i
\(599\) −1.37794 2.38667i −0.0563013 0.0975167i 0.836501 0.547965i \(-0.184597\pi\)
−0.892802 + 0.450449i \(0.851264\pi\)
\(600\) 2.88327 + 8.33067i 0.117709 + 0.340098i
\(601\) 17.2211 11.0673i 0.702463 0.451446i −0.140034 0.990147i \(-0.544721\pi\)
0.842497 + 0.538701i \(0.181085\pi\)
\(602\) −27.0145 + 4.27555i −1.10103 + 0.174258i
\(603\) −3.34162 7.31714i −0.136081 0.297977i
\(604\) 45.0048 + 35.3922i 1.83122 + 1.44009i
\(605\) −18.0317 17.1932i −0.733092 0.699002i
\(606\) 1.52001 31.9089i 0.0617461 1.29621i
\(607\) −17.4708 24.5342i −0.709116 0.995814i −0.999246 0.0388268i \(-0.987638\pi\)
0.290130 0.956987i \(-0.406301\pi\)
\(608\) 8.53412 + 2.50584i 0.346104 + 0.101625i
\(609\) −2.23897 10.7918i −0.0907276 0.437308i
\(610\) −15.1612 17.4970i −0.613861 0.708433i
\(611\) −52.0988 + 49.6761i −2.10769 + 2.00968i
\(612\) 4.05497 0.387202i 0.163912 0.0156517i
\(613\) −1.42092 + 29.8288i −0.0573904 + 1.20477i 0.768090 + 0.640342i \(0.221207\pi\)
−0.825480 + 0.564431i \(0.809096\pi\)
\(614\) −11.7414 + 48.3988i −0.473846 + 1.95322i
\(615\) 2.57724 17.9251i 0.103924 0.722810i
\(616\) −1.14935 + 14.1527i −0.0463088 + 0.570230i
\(617\) −3.06330 21.3057i −0.123324 0.857737i −0.953748 0.300606i \(-0.902811\pi\)
0.830424 0.557131i \(-0.188098\pi\)
\(618\) −2.00751 42.1428i −0.0807539 1.69523i
\(619\) −27.3389 5.26914i −1.09884 0.211784i −0.392568 0.919723i \(-0.628413\pi\)
−0.706274 + 0.707939i \(0.749625\pi\)
\(620\) 33.4470 + 57.9319i 1.34326 + 2.32660i
\(621\) 0.507489 + 4.76890i 0.0203648 + 0.191370i
\(622\) 57.6104 2.30997
\(623\) −2.47179 2.08125i −0.0990301 0.0833834i
\(624\) 12.1211 7.78975i 0.485232 0.311839i
\(625\) −28.8751 11.5599i −1.15501 0.462394i
\(626\) −9.72876 + 13.6621i −0.388840 + 0.546049i
\(627\) 4.54398 1.81913i 0.181469 0.0726492i
\(628\) −11.6527 + 48.0331i −0.464994 + 1.91673i
\(629\) −2.05761 1.32234i −0.0820422 0.0527253i
\(630\) −1.84548 16.8069i −0.0735256 0.669602i
\(631\) 25.1366 + 7.38077i 1.00067 + 0.293824i 0.740732 0.671801i \(-0.234479\pi\)
0.259940 + 0.965625i \(0.416297\pi\)
\(632\) −33.2342 + 6.40536i −1.32198 + 0.254791i
\(633\) −7.56692 + 21.8632i −0.300758 + 0.868983i
\(634\) 6.61451 + 27.2654i 0.262696 + 1.08285i
\(635\) −26.7014 37.4969i −1.05961 1.48802i
\(636\) 5.06107 + 3.25255i 0.200684 + 0.128972i
\(637\) 8.39853 39.4681i 0.332762 1.56378i
\(638\) 1.83016 12.7290i 0.0724566 0.503946i
\(639\) 4.22729 + 0.403658i 0.167229 + 0.0159684i
\(640\) 43.4698 34.1850i 1.71830 1.35128i
\(641\) −6.67607 3.44175i −0.263689 0.135941i 0.321313 0.946973i \(-0.395876\pi\)
−0.585002 + 0.811032i \(0.698906\pi\)
\(642\) 11.5515 + 33.3760i 0.455903 + 1.31725i
\(643\) 45.5016 1.79441 0.897203 0.441618i \(-0.145595\pi\)
0.897203 + 0.441618i \(0.145595\pi\)
\(644\) 5.57582 47.1076i 0.219718 1.85630i
\(645\) 11.5123 0.453295
\(646\) 3.24244 + 9.36842i 0.127572 + 0.368596i
\(647\) 7.59623 + 3.91613i 0.298639 + 0.153959i 0.601034 0.799224i \(-0.294756\pi\)
−0.302395 + 0.953183i \(0.597786\pi\)
\(648\) −3.27364 + 2.57442i −0.128601 + 0.101133i
\(649\) −8.64395 0.825398i −0.339305 0.0323997i
\(650\) 4.15991 28.9328i 0.163165 1.13484i
\(651\) −5.24028 16.9544i −0.205383 0.664497i
\(652\) 59.8893 + 38.4885i 2.34545 + 1.50733i
\(653\) 9.08381 + 12.7564i 0.355477 + 0.499198i 0.953132 0.302556i \(-0.0978400\pi\)
−0.597655 + 0.801754i \(0.703901\pi\)
\(654\) −4.29647 17.7103i −0.168005 0.692527i
\(655\) 17.2610 49.8724i 0.674443 1.94867i
\(656\) 16.6607 3.21109i 0.650492 0.125372i
\(657\) −0.330868 0.0971516i −0.0129084 0.00379024i
\(658\) −63.8142 + 46.8183i −2.48773 + 1.82517i
\(659\) 22.1370 + 14.2266i 0.862336 + 0.554190i 0.895400 0.445263i \(-0.146890\pi\)
−0.0330635 + 0.999453i \(0.510526\pi\)
\(660\) 3.03004 12.4900i 0.117944 0.486173i
\(661\) −20.3512 + 8.14739i −0.791569 + 0.316897i −0.731980 0.681326i \(-0.761403\pi\)
−0.0595897 + 0.998223i \(0.518979\pi\)
\(662\) 17.5357 24.6255i 0.681546 0.957097i
\(663\) −5.83101 2.33438i −0.226458 0.0906599i
\(664\) 39.8662 25.6204i 1.54711 0.994266i
\(665\) 25.2069 9.12607i 0.977481 0.353894i
\(666\) 5.37745 0.208372
\(667\) −3.56852 + 19.6572i −0.138174 + 0.761128i
\(668\) 39.0395 + 67.6183i 1.51048 + 2.61623i
\(669\) −1.50859 0.290756i −0.0583253 0.0112413i
\(670\) −2.44601 51.3480i −0.0944975 1.98375i
\(671\) 0.664409 + 4.62107i 0.0256492 + 0.178394i
\(672\) −5.59878 + 2.65337i −0.215978 + 0.102356i
\(673\) 5.40645 37.6027i 0.208403 1.44948i −0.569966 0.821669i \(-0.693043\pi\)
0.778369 0.627807i \(-0.216047\pi\)
\(674\) −16.9785 + 69.9865i −0.653989 + 2.69578i
\(675\) −0.100719 + 2.11435i −0.00387667 + 0.0813813i
\(676\) −75.2875 + 7.18909i −2.89567 + 0.276503i
\(677\) −14.4086 + 13.7385i −0.553766 + 0.528015i −0.914464 0.404668i \(-0.867387\pi\)
0.360697 + 0.932683i \(0.382539\pi\)
\(678\) 18.2848 + 21.1017i 0.702222 + 0.810408i
\(679\) 14.8746 + 4.91330i 0.570833 + 0.188555i
\(680\) 11.6150 + 3.41048i 0.445416 + 0.130786i
\(681\) −0.873850 1.22715i −0.0334860 0.0470245i
\(682\) 0.985210 20.6821i 0.0377256 0.791959i
\(683\) 33.6060 + 32.0433i 1.28590 + 1.22610i 0.959774 + 0.280774i \(0.0905912\pi\)
0.326124 + 0.945327i \(0.394257\pi\)
\(684\) −11.1616 8.77759i −0.426775 0.335620i
\(685\) −1.54477 3.38257i −0.0590225 0.129241i
\(686\) 14.7242 41.8511i 0.562172 1.59788i
\(687\) 18.2295 11.7154i 0.695497 0.446969i
\(688\) 3.52783 + 10.1930i 0.134497 + 0.388605i
\(689\) −4.63821 8.03362i −0.176702 0.306056i
\(690\) −8.31598 + 29.4984i −0.316584 + 1.12298i
\(691\) −3.79365 + 6.57079i −0.144317 + 0.249965i −0.929118 0.369783i \(-0.879432\pi\)
0.784801 + 0.619748i \(0.212765\pi\)
\(692\) −24.3951 + 28.1534i −0.927361 + 1.07023i
\(693\) −1.51923 + 3.05230i −0.0577108 + 0.115947i
\(694\) −10.2891 71.5624i −0.390570 2.71647i
\(695\) −41.4145 3.95460i −1.57094 0.150007i
\(696\) −16.1063 + 6.44801i −0.610510 + 0.244411i
\(697\) −5.35306 5.10413i −0.202761 0.193333i
\(698\) 24.6775 12.7221i 0.934058 0.481540i
\(699\) 9.93639 21.7577i 0.375829 0.822950i
\(700\) 5.61349 20.1706i 0.212170 0.762376i
\(701\) 21.5882 + 24.9141i 0.815375 + 0.940992i 0.999118 0.0419818i \(-0.0133671\pi\)
−0.183744 + 0.982974i \(0.558822\pi\)
\(702\) 13.5595 2.61338i 0.511771 0.0986359i
\(703\) 2.01011 + 8.28580i 0.0758129 + 0.312505i
\(704\) −13.6091 + 1.29951i −0.512914 + 0.0489773i
\(705\) 29.6105 15.2653i 1.11520 0.574924i
\(706\) −61.0694 + 17.9316i −2.29838 + 0.674864i
\(707\) −21.4148 + 28.0397i −0.805386 + 1.05454i
\(708\) 10.4647 + 22.9144i 0.393286 + 0.861176i
\(709\) −27.4169 10.9761i −1.02966 0.412215i −0.205553 0.978646i \(-0.565899\pi\)
−0.824109 + 0.566431i \(0.808324\pi\)
\(710\) 24.1210 + 12.4352i 0.905245 + 0.466686i
\(711\) −7.98005 1.53803i −0.299275 0.0576806i
\(712\) −2.54318 + 4.40492i −0.0953099 + 0.165082i
\(713\) −2.71111 + 32.0526i −0.101532 + 1.20038i
\(714\) −6.02883 3.36778i −0.225623 0.126036i
\(715\) −12.9776 + 14.9770i −0.485335 + 0.560106i
\(716\) −0.222012 4.66059i −0.00829696 0.174175i
\(717\) −15.8438 + 12.4597i −0.591699 + 0.465317i
\(718\) 6.94150 9.74797i 0.259054 0.363791i
\(719\) 12.5477 + 9.86758i 0.467948 + 0.367999i 0.824114 0.566424i \(-0.191674\pi\)
−0.356165 + 0.934423i \(0.615916\pi\)
\(720\) −6.39782 + 1.87857i −0.238433 + 0.0700102i
\(721\) −24.6348 + 39.5535i −0.917447 + 1.47305i
\(722\) −4.55156 + 9.96653i −0.169392 + 0.370916i
\(723\) −4.10660 + 3.91563i −0.152726 + 0.145624i
\(724\) −17.7511 + 51.2885i −0.659715 + 1.90612i
\(725\) −2.88406 + 8.33295i −0.107111 + 0.309478i
\(726\) 16.1918 15.4389i 0.600934 0.572989i
\(727\) −18.2901 + 40.0498i −0.678343 + 1.48536i 0.186047 + 0.982541i \(0.440432\pi\)
−0.864390 + 0.502823i \(0.832295\pi\)
\(728\) −63.4819 2.12318i −2.35280 0.0786902i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −1.73223 1.36224i −0.0641127 0.0504188i
\(731\) 2.72741 3.83010i 0.100877 0.141662i
\(732\) 10.6463 8.37230i 0.393497 0.309449i
\(733\) 1.02410 + 21.4986i 0.0378262 + 0.794069i 0.935483 + 0.353373i \(0.114965\pi\)
−0.897656 + 0.440696i \(0.854732\pi\)
\(734\) −15.4587 + 17.8403i −0.570592 + 0.658498i
\(735\) −8.87512 + 16.4302i −0.327364 + 0.606039i
\(736\) 11.2115 0.655692i 0.413261 0.0241691i
\(737\) −5.18305 + 8.97731i −0.190920 + 0.330683i
\(738\) 15.9678 + 3.07753i 0.587781 + 0.113286i
\(739\) −24.1906 12.4711i −0.889865 0.458757i −0.0482498 0.998835i \(-0.515364\pi\)
−0.841615 + 0.540078i \(0.818395\pi\)
\(740\) 20.7844 + 8.32081i 0.764049 + 0.305879i
\(741\) 9.09542 + 19.9162i 0.334129 + 0.731640i
\(742\) −3.92440 9.41393i −0.144069 0.345596i
\(743\) −11.4453 + 3.36064i −0.419887 + 0.123290i −0.484849 0.874598i \(-0.661125\pi\)
0.0649624 + 0.997888i \(0.479307\pi\)
\(744\) −24.8283 + 12.7999i −0.910250 + 0.469267i
\(745\) 53.9954 5.15593i 1.97824 0.188899i
\(746\) −7.08174 29.1913i −0.259281 1.06877i
\(747\) 11.1732 2.15346i 0.408807 0.0787911i
\(748\) −3.43754 3.96713i −0.125689 0.145053i
\(749\) 10.4584 37.5796i 0.382143 1.37313i
\(750\) 7.65430 16.7606i 0.279496 0.612010i
\(751\) 21.7861 11.2315i 0.794987 0.409844i −0.0123583 0.999924i \(-0.503934\pi\)
0.807345 + 0.590079i \(0.200904\pi\)
\(752\) 22.5898 + 21.5393i 0.823766 + 0.785459i
\(753\) −19.5406 + 7.82286i −0.712098 + 0.285081i
\(754\) 57.2653 + 5.46817i 2.08548 + 0.199139i
\(755\) 5.81431 + 40.4394i 0.211605 + 1.47174i
\(756\) 9.87233 0.610559i 0.359053 0.0222058i
\(757\) −12.3124 + 14.2093i −0.447503 + 0.516446i −0.934018 0.357227i \(-0.883722\pi\)
0.486515 + 0.873672i \(0.338268\pi\)
\(758\) 20.1246 34.8568i 0.730957 1.26605i
\(759\) 4.62665 4.09747i 0.167937 0.148729i
\(760\) −21.0992 36.5449i −0.765348 1.32562i
\(761\) −8.81595 25.4720i −0.319578 0.923360i −0.984336 0.176301i \(-0.943587\pi\)
0.664758 0.747059i \(-0.268535\pi\)
\(762\) 34.7736 22.3476i 1.25972 0.809570i
\(763\) −7.21523 + 18.7900i −0.261209 + 0.680242i
\(764\) 14.2562 + 31.2166i 0.515770 + 1.12938i
\(765\) 2.28482 + 1.79680i 0.0826077 + 0.0649634i
\(766\) −4.12092 3.92929i −0.148895 0.141971i
\(767\) 1.84820 38.7986i 0.0667348 1.40094i
\(768\) 16.4976 + 23.1676i 0.595305 + 0.835989i
\(769\) 41.8845 + 12.2984i 1.51039 + 0.443491i 0.928984 0.370120i \(-0.120683\pi\)
0.581409 + 0.813611i \(0.302502\pi\)
\(770\) −16.2630 + 14.5004i −0.586076 + 0.522557i
\(771\) −5.18294 5.98143i −0.186659 0.215416i
\(772\) 2.54300 2.42474i 0.0915245 0.0872684i
\(773\) 45.8478 4.37794i 1.64903 0.157463i