Properties

Label 731.2.k.a.35.20
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.20
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +O(q^{10})\) \(q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +(0.971409 + 1.21811i) q^{10} +(2.11177 - 1.01697i) q^{11} +(-1.00117 + 4.38640i) q^{12} +(-2.05833 + 2.58106i) q^{13} +(-0.196318 + 0.860127i) q^{14} +(-5.81845 - 2.80202i) q^{15} +(0.448637 + 0.562574i) q^{16} +(0.623490 + 0.781831i) q^{17} +(1.29374 + 5.66825i) q^{18} +(-1.39365 - 0.671147i) q^{19} +(-2.50424 + 1.20598i) q^{20} +(-0.813740 - 3.56523i) q^{21} +(-0.406833 - 1.78245i) q^{22} +(2.60042 - 1.25229i) q^{23} +(7.70640 + 3.71121i) q^{24} +(0.224839 + 0.985085i) q^{25} +(1.60555 + 2.01329i) q^{26} +(-8.97795 - 11.2580i) q^{27} +(-1.41805 - 0.682899i) q^{28} +(-1.52871 + 6.69771i) q^{29} +(-3.14077 + 3.93840i) q^{30} +(1.50130 - 6.57761i) q^{31} +(5.27272 - 2.53921i) q^{32} +(4.72497 + 5.92492i) q^{33} +(0.702779 - 0.338440i) q^{34} +(1.40856 - 1.76627i) q^{35} -10.3722 q^{36} +5.31241 q^{37} +(-0.752286 + 0.943336i) q^{38} +(-9.61676 - 4.63119i) q^{39} +(1.17583 + 5.15163i) q^{40} +(-0.435563 + 1.90833i) q^{41} -2.85249 q^{42} +(-4.29107 - 4.95850i) q^{43} +3.26165 q^{44} +(3.31286 - 14.5146i) q^{45} +(-0.500971 - 2.19490i) q^{46} +(0.368642 + 0.177529i) q^{47} +(-1.45054 + 1.81892i) q^{48} -5.72073 q^{49} +0.788152 q^{50} +(-2.01587 + 2.52782i) q^{51} +(-4.13901 + 1.99324i) q^{52} +(-2.42754 - 3.04404i) q^{53} +(-10.1197 + 4.87338i) q^{54} +(-1.04177 + 4.56428i) q^{55} +(-1.86560 + 2.33939i) q^{56} +(1.11288 - 4.87585i) q^{57} +(4.82806 + 2.32507i) q^{58} +(7.38582 + 9.26153i) q^{59} +(-5.60310 - 7.02607i) q^{60} +(-1.25439 - 5.49586i) q^{61} +(-4.74148 - 2.28338i) q^{62} +(7.59554 - 3.65782i) q^{63} +(-0.695559 - 3.04744i) q^{64} +(-1.46730 - 6.42867i) q^{65} +(5.32584 - 2.56479i) q^{66} +(-2.23907 - 1.07828i) q^{67} +(0.309651 + 1.35667i) q^{68} +(5.81830 + 7.29592i) q^{69} +(-1.09871 - 1.37774i) q^{70} +(8.94976 + 4.30998i) q^{71} +(-4.38780 + 19.2242i) q^{72} +(0.514006 - 0.644543i) q^{73} +(0.922086 - 4.03992i) q^{74} +(-2.94337 + 1.41745i) q^{75} +(-1.34207 - 1.68290i) q^{76} +(-2.38851 + 1.15025i) q^{77} +(-5.19107 + 6.50940i) q^{78} +6.20697 q^{79} -1.43724 q^{80} +(15.0858 - 18.9170i) q^{81} +(1.37562 + 0.662465i) q^{82} +(1.98812 + 8.71051i) q^{83} +(1.13237 - 4.96123i) q^{84} -1.99739 q^{85} +(-4.51560 + 2.40256i) q^{86} -22.2120 q^{87} +(1.37980 - 6.04529i) q^{88} +(3.22949 + 14.1493i) q^{89} +(-10.4629 - 5.03865i) q^{90} +(2.32807 - 2.91931i) q^{91} +4.01638 q^{92} +21.8137 q^{93} +(0.198991 - 0.249527i) q^{94} +(2.78367 - 1.34055i) q^{95} +(11.7975 + 14.7935i) q^{96} +(9.74563 - 4.69325i) q^{97} +(-0.992959 + 4.35044i) q^{98} +(-10.8926 + 13.6589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173572 0.760469i 0.122734 0.537733i −0.875754 0.482758i \(-0.839635\pi\)
0.998488 0.0549746i \(-0.0175078\pi\)
\(3\) 0.719456 + 3.15214i 0.415378 + 1.81989i 0.557665 + 0.830066i \(0.311697\pi\)
−0.142287 + 0.989825i \(0.545446\pi\)
\(4\) 1.25375 + 0.603775i 0.626876 + 0.301888i
\(5\) −1.24535 + 1.56163i −0.556940 + 0.698380i −0.977989 0.208658i \(-0.933091\pi\)
0.421049 + 0.907038i \(0.361662\pi\)
\(6\) 2.52199 1.02960
\(7\) −1.13105 −0.427496 −0.213748 0.976889i \(-0.568567\pi\)
−0.213748 + 0.976889i \(0.568567\pi\)
\(8\) 1.64944 2.06834i 0.583167 0.731268i
\(9\) −6.71549 + 3.23401i −2.23850 + 1.07800i
\(10\) 0.971409 + 1.21811i 0.307186 + 0.385200i
\(11\) 2.11177 1.01697i 0.636721 0.306629i −0.0875332 0.996162i \(-0.527898\pi\)
0.724254 + 0.689533i \(0.242184\pi\)
\(12\) −1.00117 + 4.38640i −0.289012 + 1.26624i
\(13\) −2.05833 + 2.58106i −0.570877 + 0.715858i −0.980527 0.196385i \(-0.937080\pi\)
0.409649 + 0.912243i \(0.365651\pi\)
\(14\) −0.196318 + 0.860127i −0.0524683 + 0.229879i
\(15\) −5.81845 2.80202i −1.50232 0.723477i
\(16\) 0.448637 + 0.562574i 0.112159 + 0.140643i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 1.29374 + 5.66825i 0.304938 + 1.33602i
\(19\) −1.39365 0.671147i −0.319726 0.153972i 0.267136 0.963659i \(-0.413923\pi\)
−0.586862 + 0.809687i \(0.699637\pi\)
\(20\) −2.50424 + 1.20598i −0.559964 + 0.269665i
\(21\) −0.813740 3.56523i −0.177573 0.777996i
\(22\) −0.406833 1.78245i −0.0867370 0.380020i
\(23\) 2.60042 1.25229i 0.542224 0.261121i −0.142662 0.989771i \(-0.545566\pi\)
0.684886 + 0.728650i \(0.259852\pi\)
\(24\) 7.70640 + 3.71121i 1.57306 + 0.757547i
\(25\) 0.224839 + 0.985085i 0.0449678 + 0.197017i
\(26\) 1.60555 + 2.01329i 0.314874 + 0.394840i
\(27\) −8.97795 11.2580i −1.72781 2.16660i
\(28\) −1.41805 0.682899i −0.267987 0.129056i
\(29\) −1.52871 + 6.69771i −0.283874 + 1.24373i 0.608907 + 0.793242i \(0.291608\pi\)
−0.892781 + 0.450491i \(0.851249\pi\)
\(30\) −3.14077 + 3.93840i −0.573423 + 0.719049i
\(31\) 1.50130 6.57761i 0.269641 1.18137i −0.640791 0.767715i \(-0.721394\pi\)
0.910432 0.413659i \(-0.135749\pi\)
\(32\) 5.27272 2.53921i 0.932095 0.448873i
\(33\) 4.72497 + 5.92492i 0.822511 + 1.03140i
\(34\) 0.702779 0.338440i 0.120526 0.0580421i
\(35\) 1.40856 1.76627i 0.238089 0.298555i
\(36\) −10.3722 −1.72870
\(37\) 5.31241 0.873355 0.436677 0.899618i \(-0.356155\pi\)
0.436677 + 0.899618i \(0.356155\pi\)
\(38\) −0.752286 + 0.943336i −0.122037 + 0.153029i
\(39\) −9.61676 4.63119i −1.53991 0.741583i
\(40\) 1.17583 + 5.15163i 0.185914 + 0.814544i
\(41\) −0.435563 + 1.90833i −0.0680236 + 0.298031i −0.997484 0.0708909i \(-0.977416\pi\)
0.929460 + 0.368922i \(0.120273\pi\)
\(42\) −2.85249 −0.440148
\(43\) −4.29107 4.95850i −0.654381 0.756165i
\(44\) 3.26165 0.491713
\(45\) 3.31286 14.5146i 0.493851 2.16370i
\(46\) −0.500971 2.19490i −0.0738642 0.323620i
\(47\) 0.368642 + 0.177529i 0.0537720 + 0.0258952i 0.460577 0.887620i \(-0.347643\pi\)
−0.406805 + 0.913515i \(0.633357\pi\)
\(48\) −1.45054 + 1.81892i −0.209367 + 0.262538i
\(49\) −5.72073 −0.817247
\(50\) 0.788152 0.111462
\(51\) −2.01587 + 2.52782i −0.282279 + 0.353966i
\(52\) −4.13901 + 1.99324i −0.573978 + 0.276413i
\(53\) −2.42754 3.04404i −0.333449 0.418131i 0.586636 0.809851i \(-0.300452\pi\)
−0.920085 + 0.391719i \(0.871880\pi\)
\(54\) −10.1197 + 4.87338i −1.37711 + 0.663183i
\(55\) −1.04177 + 4.56428i −0.140472 + 0.615447i
\(56\) −1.86560 + 2.33939i −0.249302 + 0.312614i
\(57\) 1.11288 4.87585i 0.147405 0.645822i
\(58\) 4.82806 + 2.32507i 0.633955 + 0.305296i
\(59\) 7.38582 + 9.26153i 0.961552 + 1.20575i 0.978575 + 0.205893i \(0.0660098\pi\)
−0.0170227 + 0.999855i \(0.505419\pi\)
\(60\) −5.60310 7.02607i −0.723357 0.907061i
\(61\) −1.25439 5.49586i −0.160609 0.703673i −0.989532 0.144311i \(-0.953903\pi\)
0.828924 0.559362i \(-0.188954\pi\)
\(62\) −4.74148 2.28338i −0.602169 0.289989i
\(63\) 7.59554 3.65782i 0.956949 0.460842i
\(64\) −0.695559 3.04744i −0.0869449 0.380930i
\(65\) −1.46730 6.42867i −0.181997 0.797379i
\(66\) 5.32584 2.56479i 0.655566 0.315704i
\(67\) −2.23907 1.07828i −0.273546 0.131733i 0.292082 0.956393i \(-0.405652\pi\)
−0.565628 + 0.824660i \(0.691366\pi\)
\(68\) 0.309651 + 1.35667i 0.0375507 + 0.164520i
\(69\) 5.81830 + 7.29592i 0.700441 + 0.878325i
\(70\) −1.09871 1.37774i −0.131321 0.164671i
\(71\) 8.94976 + 4.30998i 1.06214 + 0.511500i 0.881566 0.472061i \(-0.156490\pi\)
0.180576 + 0.983561i \(0.442204\pi\)
\(72\) −4.38780 + 19.2242i −0.517108 + 2.26560i
\(73\) 0.514006 0.644543i 0.0601599 0.0754381i −0.750841 0.660483i \(-0.770352\pi\)
0.811001 + 0.585045i \(0.198923\pi\)
\(74\) 0.922086 4.03992i 0.107190 0.469631i
\(75\) −2.94337 + 1.41745i −0.339871 + 0.163673i
\(76\) −1.34207 1.68290i −0.153946 0.193042i
\(77\) −2.38851 + 1.15025i −0.272196 + 0.131083i
\(78\) −5.19107 + 6.50940i −0.587773 + 0.737044i
\(79\) 6.20697 0.698339 0.349169 0.937060i \(-0.386464\pi\)
0.349169 + 0.937060i \(0.386464\pi\)
\(80\) −1.43724 −0.160689
\(81\) 15.0858 18.9170i 1.67620 2.10189i
\(82\) 1.37562 + 0.662465i 0.151912 + 0.0731570i
\(83\) 1.98812 + 8.71051i 0.218224 + 0.956103i 0.958789 + 0.284118i \(0.0917008\pi\)
−0.740565 + 0.671985i \(0.765442\pi\)
\(84\) 1.13237 4.96123i 0.123551 0.541314i
\(85\) −1.99739 −0.216648
\(86\) −4.51560 + 2.40256i −0.486929 + 0.259075i
\(87\) −22.2120 −2.38137
\(88\) 1.37980 6.04529i 0.147087 0.644430i
\(89\) 3.22949 + 14.1493i 0.342325 + 1.49983i 0.794152 + 0.607719i \(0.207915\pi\)
−0.451826 + 0.892106i \(0.649227\pi\)
\(90\) −10.4629 5.03865i −1.10288 0.531120i
\(91\) 2.32807 2.91931i 0.244048 0.306026i
\(92\) 4.01638 0.418737
\(93\) 21.8137 2.26197
\(94\) 0.198991 0.249527i 0.0205244 0.0257367i
\(95\) 2.78367 1.34055i 0.285599 0.137537i
\(96\) 11.7975 + 14.7935i 1.20407 + 1.50986i
\(97\) 9.74563 4.69325i 0.989518 0.476527i 0.132150 0.991230i \(-0.457812\pi\)
0.857369 + 0.514703i \(0.172098\pi\)
\(98\) −0.992959 + 4.35044i −0.100304 + 0.439460i
\(99\) −10.8926 + 13.6589i −1.09475 + 1.37277i
\(100\) −0.312877 + 1.37080i −0.0312877 + 0.137080i
\(101\) −0.652152 0.314060i −0.0648916 0.0312501i 0.401157 0.916010i \(-0.368608\pi\)
−0.466048 + 0.884759i \(0.654323\pi\)
\(102\) 1.57243 + 1.97177i 0.155694 + 0.195234i
\(103\) 12.0144 + 15.0655i 1.18381 + 1.48445i 0.837591 + 0.546297i \(0.183963\pi\)
0.346219 + 0.938154i \(0.387466\pi\)
\(104\) 1.94341 + 8.51464i 0.190567 + 0.834929i
\(105\) 6.58094 + 3.16922i 0.642234 + 0.309284i
\(106\) −2.73625 + 1.31771i −0.265768 + 0.127987i
\(107\) −3.42501 15.0059i −0.331108 1.45068i −0.816988 0.576654i \(-0.804358\pi\)
0.485880 0.874025i \(-0.338499\pi\)
\(108\) −4.45883 19.5354i −0.429051 1.87979i
\(109\) 15.7031 7.56222i 1.50409 0.724330i 0.513104 0.858326i \(-0.328495\pi\)
0.990982 + 0.133997i \(0.0427812\pi\)
\(110\) 3.29017 + 1.58446i 0.313705 + 0.151073i
\(111\) 3.82205 + 16.7455i 0.362773 + 1.58941i
\(112\) −0.507431 0.636298i −0.0479477 0.0601245i
\(113\) 7.12047 + 8.92879i 0.669838 + 0.839950i 0.994374 0.105923i \(-0.0337797\pi\)
−0.324536 + 0.945873i \(0.605208\pi\)
\(114\) −3.51477 1.69262i −0.329188 0.158529i
\(115\) −1.28283 + 5.62043i −0.119624 + 0.524108i
\(116\) −5.96053 + 7.47427i −0.553421 + 0.693968i
\(117\) 5.47550 23.9897i 0.506210 2.21785i
\(118\) 8.32507 4.00914i 0.766385 0.369072i
\(119\) −0.705197 0.884289i −0.0646453 0.0810627i
\(120\) −15.3927 + 7.41275i −1.40516 + 0.676688i
\(121\) −3.43307 + 4.30493i −0.312097 + 0.391357i
\(122\) −4.39716 −0.398100
\(123\) −6.32870 −0.570639
\(124\) 5.85365 7.34025i 0.525673 0.659174i
\(125\) −10.8163 5.20885i −0.967438 0.465894i
\(126\) −1.46328 6.41107i −0.130360 0.571143i
\(127\) 2.99420 13.1184i 0.265692 1.16407i −0.649278 0.760551i \(-0.724929\pi\)
0.914970 0.403521i \(-0.132214\pi\)
\(128\) 9.26635 0.819037
\(129\) 12.5427 17.0935i 1.10432 1.50500i
\(130\) −5.14349 −0.451114
\(131\) −0.616599 + 2.70150i −0.0538725 + 0.236031i −0.994695 0.102869i \(-0.967198\pi\)
0.940822 + 0.338900i \(0.110055\pi\)
\(132\) 2.34662 + 10.2812i 0.204247 + 0.894864i
\(133\) 1.57629 + 0.759100i 0.136681 + 0.0658223i
\(134\) −1.20864 + 1.51558i −0.104410 + 0.130927i
\(135\) 28.7615 2.47540
\(136\) 2.64550 0.226850
\(137\) 3.99262 5.00658i 0.341112 0.427741i −0.581454 0.813579i \(-0.697516\pi\)
0.922567 + 0.385838i \(0.126088\pi\)
\(138\) 6.55821 3.15827i 0.558272 0.268850i
\(139\) 6.87216 + 8.61742i 0.582889 + 0.730920i 0.982603 0.185720i \(-0.0594618\pi\)
−0.399713 + 0.916640i \(0.630890\pi\)
\(140\) 2.83241 1.36402i 0.239383 0.115281i
\(141\) −0.294374 + 1.28974i −0.0247908 + 0.108615i
\(142\) 4.83103 6.05792i 0.405411 0.508370i
\(143\) −1.72184 + 7.54386i −0.143987 + 0.630849i
\(144\) −4.83219 2.32706i −0.402682 0.193922i
\(145\) −8.55552 10.7283i −0.710498 0.890936i
\(146\) −0.400938 0.502760i −0.0331819 0.0416087i
\(147\) −4.11582 18.0326i −0.339467 1.48730i
\(148\) 6.66045 + 3.20750i 0.547485 + 0.263655i
\(149\) −9.39637 + 4.52505i −0.769780 + 0.370707i −0.777190 0.629266i \(-0.783356\pi\)
0.00740967 + 0.999973i \(0.497641\pi\)
\(150\) 0.567041 + 2.48437i 0.0462987 + 0.202848i
\(151\) 0.157672 + 0.690805i 0.0128312 + 0.0562169i 0.980938 0.194320i \(-0.0622500\pi\)
−0.968107 + 0.250537i \(0.919393\pi\)
\(152\) −3.68691 + 1.77552i −0.299048 + 0.144014i
\(153\) −6.71549 3.23401i −0.542915 0.261454i
\(154\) 0.460147 + 2.01604i 0.0370797 + 0.162457i
\(155\) 8.40212 + 10.5359i 0.674874 + 0.846266i
\(156\) −9.26083 11.6127i −0.741460 0.929761i
\(157\) −8.81828 4.24666i −0.703775 0.338920i 0.0475350 0.998870i \(-0.484863\pi\)
−0.751310 + 0.659949i \(0.770578\pi\)
\(158\) 1.07736 4.72021i 0.0857099 0.375520i
\(159\) 7.84875 9.84202i 0.622446 0.780523i
\(160\) −2.60112 + 11.3962i −0.205636 + 0.900952i
\(161\) −2.94120 + 1.41641i −0.231799 + 0.111628i
\(162\) −11.7673 14.7557i −0.924526 1.15932i
\(163\) −15.9411 + 7.67683i −1.24860 + 0.601296i −0.937137 0.348962i \(-0.886534\pi\)
−0.311466 + 0.950257i \(0.600820\pi\)
\(164\) −1.69829 + 2.12959i −0.132614 + 0.166293i
\(165\) −15.1368 −1.17840
\(166\) 6.96915 0.540911
\(167\) −0.346636 + 0.434668i −0.0268235 + 0.0336356i −0.795062 0.606528i \(-0.792562\pi\)
0.768239 + 0.640163i \(0.221133\pi\)
\(168\) −8.71632 4.19756i −0.672478 0.323849i
\(169\) 0.467607 + 2.04872i 0.0359698 + 0.157594i
\(170\) −0.346692 + 1.51896i −0.0265900 + 0.116499i
\(171\) 11.5296 0.881687
\(172\) −2.38611 8.80757i −0.181939 0.671571i
\(173\) −5.71019 −0.434138 −0.217069 0.976156i \(-0.569650\pi\)
−0.217069 + 0.976156i \(0.569650\pi\)
\(174\) −3.85538 + 16.8915i −0.292275 + 1.28054i
\(175\) −0.254304 1.11418i −0.0192236 0.0842240i
\(176\) 1.51954 + 0.731771i 0.114540 + 0.0551593i
\(177\) −23.8799 + 29.9444i −1.79492 + 2.25076i
\(178\) 11.3207 0.848520
\(179\) 10.3905 0.776620 0.388310 0.921529i \(-0.373059\pi\)
0.388310 + 0.921529i \(0.373059\pi\)
\(180\) 12.9170 16.1974i 0.962779 1.20729i
\(181\) 0.412561 0.198679i 0.0306654 0.0147677i −0.418488 0.908222i \(-0.637440\pi\)
0.449154 + 0.893455i \(0.351726\pi\)
\(182\) −1.81595 2.27713i −0.134607 0.168792i
\(183\) 16.4213 7.90806i 1.21389 0.584581i
\(184\) 1.69907 7.44413i 0.125257 0.548789i
\(185\) −6.61583 + 8.29599i −0.486406 + 0.609934i
\(186\) 3.78625 16.5886i 0.277621 1.21634i
\(187\) 2.11177 + 1.01697i 0.154428 + 0.0743684i
\(188\) 0.354998 + 0.445154i 0.0258909 + 0.0324662i
\(189\) 10.1545 + 12.7333i 0.738631 + 0.926214i
\(190\) −0.536276 2.34958i −0.0389055 0.170456i
\(191\) −3.81760 1.83846i −0.276232 0.133026i 0.290639 0.956833i \(-0.406132\pi\)
−0.566871 + 0.823806i \(0.691846\pi\)
\(192\) 9.10556 4.38500i 0.657137 0.316460i
\(193\) −5.83002 25.5430i −0.419654 1.83862i −0.534404 0.845229i \(-0.679464\pi\)
0.114750 0.993394i \(-0.463393\pi\)
\(194\) −1.87750 8.22586i −0.134797 0.590582i
\(195\) 19.2084 9.25030i 1.37555 0.662428i
\(196\) −7.17238 3.45403i −0.512313 0.246717i
\(197\) 1.95005 + 8.54374i 0.138935 + 0.608716i 0.995670 + 0.0929584i \(0.0296323\pi\)
−0.856735 + 0.515758i \(0.827511\pi\)
\(198\) 8.49654 + 10.6543i 0.603823 + 0.757170i
\(199\) −0.0320167 0.0401477i −0.00226961 0.00284600i 0.780695 0.624912i \(-0.214865\pi\)
−0.782965 + 0.622066i \(0.786294\pi\)
\(200\) 2.40835 + 1.15980i 0.170296 + 0.0820102i
\(201\) 1.78798 7.83365i 0.126114 0.552543i
\(202\) −0.352028 + 0.441430i −0.0247686 + 0.0310589i
\(203\) 1.72904 7.57543i 0.121355 0.531691i
\(204\) −4.05364 + 1.95213i −0.283812 + 0.136676i
\(205\) −2.43766 3.05673i −0.170254 0.213491i
\(206\) 13.5422 6.52159i 0.943532 0.454381i
\(207\) −13.4131 + 16.8195i −0.932277 + 1.16904i
\(208\) −2.37548 −0.164710
\(209\) −3.62560 −0.250788
\(210\) 3.55236 4.45452i 0.245136 0.307391i
\(211\) −14.9134 7.18190i −1.02668 0.494422i −0.156770 0.987635i \(-0.550108\pi\)
−0.869909 + 0.493213i \(0.835822\pi\)
\(212\) −1.20562 5.28216i −0.0828023 0.362781i
\(213\) −7.14671 + 31.3118i −0.489685 + 2.14545i
\(214\) −12.0060 −0.820716
\(215\) 13.0872 0.525943i 0.892541 0.0358690i
\(216\) −38.0940 −2.59197
\(217\) −1.69804 + 7.43960i −0.115270 + 0.505033i
\(218\) −3.02521 13.2543i −0.204893 0.897696i
\(219\) 2.40150 + 1.15650i 0.162278 + 0.0781491i
\(220\) −4.06192 + 5.09348i −0.273854 + 0.343402i
\(221\) −3.30130 −0.222070
\(222\) 13.3978 0.899203
\(223\) 4.14119 5.19289i 0.277315 0.347742i −0.623595 0.781747i \(-0.714329\pi\)
0.900910 + 0.434005i \(0.142900\pi\)
\(224\) −5.96371 + 2.87197i −0.398467 + 0.191892i
\(225\) −4.69568 5.88819i −0.313045 0.392546i
\(226\) 8.02598 3.86511i 0.533881 0.257103i
\(227\) −1.86015 + 8.14985i −0.123463 + 0.540925i 0.874930 + 0.484249i \(0.160907\pi\)
−0.998393 + 0.0566755i \(0.981950\pi\)
\(228\) 4.33920 5.44118i 0.287370 0.360351i
\(229\) 5.79920 25.4080i 0.383222 1.67901i −0.304090 0.952643i \(-0.598352\pi\)
0.687312 0.726362i \(-0.258790\pi\)
\(230\) 4.05150 + 1.95110i 0.267148 + 0.128652i
\(231\) −5.34417 6.70137i −0.351620 0.440918i
\(232\) 11.3316 + 14.2094i 0.743956 + 0.932891i
\(233\) −4.99233 21.8728i −0.327059 1.43294i −0.824708 0.565559i \(-0.808661\pi\)
0.497649 0.867378i \(-0.334197\pi\)
\(234\) −17.2931 8.32790i −1.13048 0.544412i
\(235\) −0.736324 + 0.354595i −0.0480325 + 0.0231312i
\(236\) 3.66811 + 16.0710i 0.238774 + 1.04614i
\(237\) 4.46564 + 19.5653i 0.290075 + 1.27090i
\(238\) −0.794877 + 0.382793i −0.0515242 + 0.0248128i
\(239\) −9.40532 4.52936i −0.608380 0.292980i 0.104217 0.994555i \(-0.466767\pi\)
−0.712596 + 0.701574i \(0.752481\pi\)
\(240\) −1.03403 4.53039i −0.0667465 0.292436i
\(241\) −7.07473 8.87143i −0.455723 0.571459i 0.499888 0.866090i \(-0.333375\pi\)
−0.955611 + 0.294631i \(0.904803\pi\)
\(242\) 2.67788 + 3.35796i 0.172141 + 0.215858i
\(243\) 31.5621 + 15.1995i 2.02471 + 0.975048i
\(244\) 1.74556 7.64782i 0.111748 0.489601i
\(245\) 7.12434 8.93364i 0.455157 0.570749i
\(246\) −1.09848 + 4.81278i −0.0700368 + 0.306851i
\(247\) 4.60086 2.21566i 0.292746 0.140979i
\(248\) −11.1284 13.9546i −0.706655 0.886118i
\(249\) −26.0264 + 12.5337i −1.64936 + 0.794289i
\(250\) −5.83857 + 7.32134i −0.369264 + 0.463042i
\(251\) −1.21372 −0.0766092 −0.0383046 0.999266i \(-0.512196\pi\)
−0.0383046 + 0.999266i \(0.512196\pi\)
\(252\) 11.7314 0.739011
\(253\) 4.21792 5.28910i 0.265178 0.332523i
\(254\) −9.45645 4.55398i −0.593350 0.285742i
\(255\) −1.43704 6.29607i −0.0899908 0.394275i
\(256\) 2.99950 13.1417i 0.187469 0.821353i
\(257\) 27.7555 1.73134 0.865669 0.500617i \(-0.166893\pi\)
0.865669 + 0.500617i \(0.166893\pi\)
\(258\) −10.8220 12.5053i −0.673749 0.778544i
\(259\) −6.00859 −0.373356
\(260\) 2.04184 8.94588i 0.126630 0.554800i
\(261\) −11.3944 49.9222i −0.705297 3.09011i
\(262\) 1.94738 + 0.937809i 0.120310 + 0.0579380i
\(263\) 6.30644 7.90803i 0.388872 0.487630i −0.548406 0.836212i \(-0.684765\pi\)
0.937278 + 0.348582i \(0.113337\pi\)
\(264\) 20.0483 1.23389
\(265\) 7.77680 0.477725
\(266\) 0.850871 1.06696i 0.0521703 0.0654195i
\(267\) −42.2772 + 20.3596i −2.58732 + 1.24599i
\(268\) −2.15620 2.70379i −0.131711 0.165160i
\(269\) 22.6072 10.8870i 1.37838 0.663794i 0.409729 0.912207i \(-0.365623\pi\)
0.968654 + 0.248413i \(0.0799090\pi\)
\(270\) 4.99219 21.8722i 0.303815 1.33110i
\(271\) 19.0345 23.8685i 1.15627 1.44991i 0.285387 0.958412i \(-0.407878\pi\)
0.870878 0.491499i \(-0.163551\pi\)
\(272\) −0.160117 + 0.701518i −0.00970851 + 0.0425358i
\(273\) 10.8770 + 5.23809i 0.658307 + 0.317024i
\(274\) −3.11434 3.90526i −0.188144 0.235926i
\(275\) 1.47661 + 1.85161i 0.0890430 + 0.111656i
\(276\) 2.88961 + 12.6602i 0.173934 + 0.762055i
\(277\) −7.91453 3.81144i −0.475538 0.229007i 0.180733 0.983532i \(-0.442153\pi\)
−0.656271 + 0.754525i \(0.727867\pi\)
\(278\) 7.74609 3.73032i 0.464580 0.223730i
\(279\) 11.1901 + 49.0271i 0.669934 + 2.93517i
\(280\) −1.32992 5.82674i −0.0794777 0.348214i
\(281\) −0.0328472 + 0.0158184i −0.00195950 + 0.000943646i −0.434863 0.900497i \(-0.643203\pi\)
0.432904 + 0.901440i \(0.357489\pi\)
\(282\) 0.929710 + 0.447725i 0.0553634 + 0.0266616i
\(283\) −2.85032 12.4881i −0.169434 0.742338i −0.986226 0.165406i \(-0.947107\pi\)
0.816792 0.576933i \(-0.195750\pi\)
\(284\) 8.61853 + 10.8073i 0.511415 + 0.641295i
\(285\) 6.22832 + 7.81007i 0.368934 + 0.462629i
\(286\) 5.43801 + 2.61881i 0.321556 + 0.154853i
\(287\) 0.492643 2.15841i 0.0290798 0.127407i
\(288\) −27.1971 + 34.1041i −1.60260 + 2.00960i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −9.64353 + 4.64408i −0.566287 + 0.272710i
\(291\) 21.8053 + 27.3430i 1.27825 + 1.60288i
\(292\) 1.03360 0.497753i 0.0604866 0.0291288i
\(293\) −12.3904 + 15.5371i −0.723854 + 0.907685i −0.998549 0.0538467i \(-0.982852\pi\)
0.274695 + 0.961531i \(0.411423\pi\)
\(294\) −14.4276 −0.841434
\(295\) −23.6610 −1.37760
\(296\) 8.76253 10.9879i 0.509312 0.638656i
\(297\) −30.4084 14.6439i −1.76447 0.849726i
\(298\) 1.81021 + 7.93107i 0.104863 + 0.459434i
\(299\) −2.12026 + 9.28947i −0.122618 + 0.537224i
\(300\) −4.54607 −0.262468
\(301\) 4.85340 + 5.60831i 0.279746 + 0.323257i
\(302\) 0.552703 0.0318045
\(303\) 0.520767 2.28163i 0.0299173 0.131076i
\(304\) −0.247675 1.08513i −0.0142051 0.0622367i
\(305\) 10.1446 + 4.88540i 0.580880 + 0.279737i
\(306\) −3.62498 + 4.54559i −0.207227 + 0.259854i
\(307\) −22.3238 −1.27409 −0.637043 0.770828i \(-0.719843\pi\)
−0.637043 + 0.770828i \(0.719843\pi\)
\(308\) −3.68909 −0.210205
\(309\) −38.8449 + 48.7100i −2.20981 + 2.77101i
\(310\) 9.47061 4.56081i 0.537895 0.259036i
\(311\) 19.2257 + 24.1083i 1.09019 + 1.36706i 0.924634 + 0.380857i \(0.124371\pi\)
0.165558 + 0.986200i \(0.447058\pi\)
\(312\) −25.4412 + 12.2518i −1.44032 + 0.693623i
\(313\) −2.94190 + 12.8893i −0.166286 + 0.728546i 0.821174 + 0.570677i \(0.193319\pi\)
−0.987460 + 0.157868i \(0.949538\pi\)
\(314\) −4.76006 + 5.96892i −0.268626 + 0.336846i
\(315\) −3.74700 + 16.4167i −0.211120 + 0.924975i
\(316\) 7.78200 + 3.74761i 0.437772 + 0.210820i
\(317\) −18.4829 23.1768i −1.03810 1.30174i −0.952214 0.305432i \(-0.901199\pi\)
−0.0858863 0.996305i \(-0.527372\pi\)
\(318\) −6.12223 7.67703i −0.343317 0.430506i
\(319\) 3.58311 + 15.6986i 0.200616 + 0.878955i
\(320\) 5.62518 + 2.70894i 0.314457 + 0.151435i
\(321\) 44.8368 21.5922i 2.50254 1.20516i
\(322\) 0.566623 + 2.48254i 0.0315767 + 0.138346i
\(323\) −0.344204 1.50805i −0.0191520 0.0839104i
\(324\) 30.3354 14.6088i 1.68530 0.811599i
\(325\) −3.00536 1.44730i −0.166707 0.0802820i
\(326\) 3.07106 + 13.4552i 0.170090 + 0.745214i
\(327\) 35.1349 + 44.0578i 1.94297 + 2.43640i
\(328\) 3.22863 + 4.04857i 0.178271 + 0.223545i
\(329\) −0.416952 0.200794i −0.0229873 0.0110701i
\(330\) −2.62732 + 11.5110i −0.144629 + 0.633662i
\(331\) −17.4820 + 21.9217i −0.960898 + 1.20493i 0.0178460 + 0.999841i \(0.494319\pi\)
−0.978744 + 0.205087i \(0.934252\pi\)
\(332\) −2.76658 + 12.1212i −0.151836 + 0.665237i
\(333\) −35.6754 + 17.1804i −1.95500 + 0.941479i
\(334\) 0.270385 + 0.339052i 0.0147948 + 0.0185521i
\(335\) 4.47231 2.15375i 0.244348 0.117672i
\(336\) 1.64063 2.05728i 0.0895036 0.112234i
\(337\) 8.27276 0.450646 0.225323 0.974284i \(-0.427656\pi\)
0.225323 + 0.974284i \(0.427656\pi\)
\(338\) 1.63915 0.0891581
\(339\) −23.0220 + 28.8686i −1.25038 + 1.56793i
\(340\) −2.50424 1.20598i −0.135811 0.0654033i
\(341\) −3.51886 15.4171i −0.190557 0.834885i
\(342\) 2.00121 8.76786i 0.108213 0.474112i
\(343\) 14.3878 0.776866
\(344\) −17.3337 + 0.696600i −0.934573 + 0.0375581i
\(345\) −18.6393 −1.00351
\(346\) −0.991130 + 4.34242i −0.0532835 + 0.233450i
\(347\) −5.24673 22.9874i −0.281659 1.23403i −0.895665 0.444729i \(-0.853300\pi\)
0.614006 0.789301i \(-0.289557\pi\)
\(348\) −27.8483 13.4110i −1.49283 0.718907i
\(349\) −19.4814 + 24.4289i −1.04282 + 1.30765i −0.0927190 + 0.995692i \(0.529556\pi\)
−0.950096 + 0.311957i \(0.899016\pi\)
\(350\) −0.891438 −0.0476494
\(351\) 47.5371 2.53734
\(352\) 8.55245 10.7244i 0.455847 0.571614i
\(353\) 10.9348 5.26591i 0.582000 0.280276i −0.119629 0.992819i \(-0.538171\pi\)
0.701629 + 0.712542i \(0.252456\pi\)
\(354\) 18.6269 + 23.3574i 0.990010 + 1.24143i
\(355\) −17.8762 + 8.60873i −0.948770 + 0.456904i
\(356\) −4.49403 + 19.6896i −0.238183 + 1.04355i
\(357\) 2.28005 2.85909i 0.120673 0.151319i
\(358\) 1.80350 7.90163i 0.0953177 0.417614i
\(359\) 7.19954 + 3.46711i 0.379977 + 0.182987i 0.614116 0.789216i \(-0.289513\pi\)
−0.234139 + 0.972203i \(0.575227\pi\)
\(360\) −24.5567 30.7931i −1.29425 1.62294i
\(361\) −10.3545 12.9841i −0.544973 0.683374i
\(362\) −0.0794800 0.348225i −0.00417738 0.0183023i
\(363\) −16.0397 7.72431i −0.841866 0.405421i
\(364\) 4.68142 2.25446i 0.245373 0.118166i
\(365\) 0.366415 + 1.60537i 0.0191791 + 0.0840289i
\(366\) −3.16356 13.8605i −0.165362 0.724498i
\(367\) 2.89675 1.39500i 0.151209 0.0728185i −0.356749 0.934200i \(-0.616115\pi\)
0.507958 + 0.861382i \(0.330401\pi\)
\(368\) 1.87115 + 0.901099i 0.0975405 + 0.0469730i
\(369\) −3.24653 14.2240i −0.169008 0.740471i
\(370\) 5.16052 + 6.47109i 0.268283 + 0.336416i
\(371\) 2.74567 + 3.44296i 0.142548 + 0.178750i
\(372\) 27.3490 + 13.1706i 1.41798 + 0.682862i
\(373\) 6.58397 28.8463i 0.340905 1.49360i −0.456262 0.889845i \(-0.650812\pi\)
0.797168 0.603758i \(-0.206331\pi\)
\(374\) 1.13992 1.42941i 0.0589438 0.0739132i
\(375\) 8.63720 37.8420i 0.446023 1.95415i
\(376\) 0.975244 0.469653i 0.0502944 0.0242205i
\(377\) −14.1406 17.7318i −0.728278 0.913232i
\(378\) 11.4458 5.51203i 0.588711 0.283508i
\(379\) 1.97177 2.47252i 0.101283 0.127005i −0.728607 0.684932i \(-0.759832\pi\)
0.829890 + 0.557927i \(0.188403\pi\)
\(380\) 4.29942 0.220556
\(381\) 43.5054 2.22885
\(382\) −2.06072 + 2.58406i −0.105436 + 0.132212i
\(383\) 11.5927 + 5.58275i 0.592359 + 0.285265i 0.705949 0.708263i \(-0.250521\pi\)
−0.113590 + 0.993528i \(0.536235\pi\)
\(384\) 6.66673 + 29.2089i 0.340210 + 1.49056i
\(385\) 1.17829 5.16242i 0.0600511 0.263101i
\(386\) −20.4366 −1.04019
\(387\) 44.8525 + 19.4214i 2.27998 + 0.987247i
\(388\) 15.0523 0.764163
\(389\) 1.24389 5.44983i 0.0630677 0.276317i −0.933555 0.358434i \(-0.883311\pi\)
0.996623 + 0.0821165i \(0.0261680\pi\)
\(390\) −3.70052 16.2130i −0.187383 0.820978i
\(391\) 2.60042 + 1.25229i 0.131509 + 0.0633313i
\(392\) −9.43603 + 11.8324i −0.476591 + 0.597627i
\(393\) −8.95913 −0.451928
\(394\) 6.83572 0.344379
\(395\) −7.72988 + 9.69296i −0.388932 + 0.487706i
\(396\) −21.9036 + 10.5482i −1.10070 + 0.530068i
\(397\) 2.70561 + 3.39272i 0.135790 + 0.170276i 0.845077 0.534644i \(-0.179554\pi\)
−0.709287 + 0.704920i \(0.750983\pi\)
\(398\) −0.0360883 + 0.0173792i −0.00180894 + 0.000871141i
\(399\) −1.25872 + 5.51483i −0.0630150 + 0.276087i
\(400\) −0.453311 + 0.568434i −0.0226656 + 0.0284217i
\(401\) 1.96518 8.61002i 0.0981365 0.429964i −0.901861 0.432026i \(-0.857799\pi\)
0.999998 + 0.00206143i \(0.000656175\pi\)
\(402\) −5.64690 2.71941i −0.281642 0.135632i
\(403\) 13.8871 + 17.4138i 0.691764 + 0.867444i
\(404\) −0.628016 0.787507i −0.0312450 0.0391799i
\(405\) 10.7541 + 47.1167i 0.534374 + 2.34125i
\(406\) −5.46076 2.62977i −0.271013 0.130513i
\(407\) 11.2186 5.40258i 0.556084 0.267796i
\(408\) 1.90332 + 8.33901i 0.0942286 + 0.412843i
\(409\) 5.13216 + 22.4855i 0.253769 + 1.11184i 0.927784 + 0.373118i \(0.121711\pi\)
−0.674015 + 0.738718i \(0.735432\pi\)
\(410\) −2.74766 + 1.32320i −0.135697 + 0.0653484i
\(411\) 18.6540 + 8.98329i 0.920133 + 0.443113i
\(412\) 5.96684 + 26.1424i 0.293965 + 1.28794i
\(413\) −8.35372 10.4752i −0.411060 0.515453i
\(414\) 10.4626 + 13.1197i 0.514208 + 0.644797i
\(415\) −16.0785 7.74298i −0.789261 0.380088i
\(416\) −4.29914 + 18.8358i −0.210783 + 0.923499i
\(417\) −22.2191 + 27.8619i −1.08808 + 1.36440i
\(418\) −0.629304 + 2.75716i −0.0307802 + 0.134857i
\(419\) 35.0105 16.8602i 1.71038 0.823674i 0.718640 0.695383i \(-0.244765\pi\)
0.991737 0.128291i \(-0.0409492\pi\)
\(420\) 6.33738 + 7.94682i 0.309232 + 0.387765i
\(421\) −10.2387 + 4.93072i −0.499006 + 0.240309i −0.666418 0.745578i \(-0.732173\pi\)
0.167412 + 0.985887i \(0.446459\pi\)
\(422\) −8.05015 + 10.0946i −0.391875 + 0.491396i
\(423\) −3.04974 −0.148284
\(424\) −10.3002 −0.500222
\(425\) −0.629985 + 0.789977i −0.0305588 + 0.0383195i
\(426\) 22.5712 + 10.8697i 1.09358 + 0.526639i
\(427\) 1.41878 + 6.21608i 0.0686596 + 0.300817i
\(428\) 4.76611 20.8817i 0.230378 1.00935i
\(429\) −25.0181 −1.20789
\(430\) 1.87161 10.0437i 0.0902572 0.484351i
\(431\) 28.3055 1.36343 0.681714 0.731618i \(-0.261235\pi\)
0.681714 + 0.731618i \(0.261235\pi\)
\(432\) 2.30560 10.1015i 0.110928 0.486009i
\(433\) −4.15212 18.1916i −0.199538 0.874233i −0.971212 0.238215i \(-0.923438\pi\)
0.771674 0.636018i \(-0.219419\pi\)
\(434\) 5.36285 + 2.58261i 0.257425 + 0.123969i
\(435\) 27.6618 34.6868i 1.32628 1.66310i
\(436\) 24.2537 1.16154
\(437\) −4.46455 −0.213568
\(438\) 1.29632 1.62553i 0.0619404 0.0776708i
\(439\) −23.0320 + 11.0916i −1.09926 + 0.529374i −0.893425 0.449213i \(-0.851704\pi\)
−0.205832 + 0.978587i \(0.565990\pi\)
\(440\) 7.72213 + 9.68325i 0.368138 + 0.461631i
\(441\) 38.4175 18.5009i 1.82940 0.880995i
\(442\) −0.573014 + 2.51054i −0.0272555 + 0.119414i
\(443\) −9.00163 + 11.2877i −0.427681 + 0.536294i −0.948250 0.317525i \(-0.897148\pi\)
0.520569 + 0.853819i \(0.325720\pi\)
\(444\) −5.31861 + 23.3023i −0.252410 + 1.10588i
\(445\) −26.1178 12.5777i −1.23810 0.596239i
\(446\) −3.23024 4.05059i −0.152956 0.191801i
\(447\) −21.0239 26.3631i −0.994396 1.24693i
\(448\) 0.786711 + 3.44681i 0.0371686 + 0.162846i
\(449\) −1.10952 0.534316i −0.0523615 0.0252160i 0.407520 0.913196i \(-0.366394\pi\)
−0.459881 + 0.887980i \(0.652108\pi\)
\(450\) −5.29283 + 2.54889i −0.249506 + 0.120156i
\(451\) 1.02091 + 4.47290i 0.0480728 + 0.210621i
\(452\) 3.53633 + 15.4937i 0.166335 + 0.728760i
\(453\) −2.06408 + 0.994009i −0.0969789 + 0.0467026i
\(454\) 5.87484 + 2.82917i 0.275720 + 0.132780i
\(455\) 1.65959 + 7.27114i 0.0778028 + 0.340876i
\(456\) −8.24928 10.3443i −0.386308 0.484415i
\(457\) −3.45810 4.33632i −0.161763 0.202845i 0.694344 0.719644i \(-0.255695\pi\)
−0.856107 + 0.516799i \(0.827123\pi\)
\(458\) −18.3154 8.82022i −0.855822 0.412142i
\(459\) 3.20419 14.0385i 0.149559 0.655260i
\(460\) −5.00182 + 6.27208i −0.233211 + 0.292437i
\(461\) 4.76412 20.8730i 0.221887 0.972152i −0.734169 0.678967i \(-0.762428\pi\)
0.956056 0.293184i \(-0.0947150\pi\)
\(462\) −6.02378 + 2.90090i −0.280252 + 0.134962i
\(463\) −23.3426 29.2707i −1.08482 1.36032i −0.927950 0.372704i \(-0.878431\pi\)
−0.156871 0.987619i \(-0.550141\pi\)
\(464\) −4.45379 + 2.14483i −0.206762 + 0.0995713i
\(465\) −27.1658 + 34.0648i −1.25978 + 1.57972i
\(466\) −17.5001 −0.810678
\(467\) −37.4234 −1.73175 −0.865874 0.500261i \(-0.833237\pi\)
−0.865874 + 0.500261i \(0.833237\pi\)
\(468\) 21.3493 26.7712i 0.986873 1.23750i
\(469\) 2.53250 + 1.21959i 0.116940 + 0.0563153i
\(470\) 0.141853 + 0.621499i 0.00654319 + 0.0286676i
\(471\) 7.04171 30.8518i 0.324465 1.42157i
\(472\) 31.3385 1.44247
\(473\) −14.1044 6.10730i −0.648520 0.280814i
\(474\) 15.6539 0.719007
\(475\) 0.347789 1.52377i 0.0159577 0.0699151i
\(476\) −0.350230 1.53446i −0.0160528 0.0703319i
\(477\) 26.1466 + 12.5915i 1.19717 + 0.576527i
\(478\) −5.07694 + 6.36628i −0.232214 + 0.291187i
\(479\) 0.172732 0.00789231 0.00394616 0.999992i \(-0.498744\pi\)
0.00394616 + 0.999992i \(0.498744\pi\)
\(480\) −37.7940 −1.72505
\(481\) −10.9347 + 13.7117i −0.498579 + 0.625198i
\(482\) −7.97442 + 3.84028i −0.363225 + 0.174920i
\(483\) −6.58078 8.25203i −0.299436 0.375481i
\(484\) −6.90343 + 3.32451i −0.313792 + 0.151114i
\(485\) −4.80767 + 21.0638i −0.218305 + 0.956457i
\(486\) 17.0370 21.3638i 0.772815 0.969080i
\(487\) 4.65617 20.4000i 0.210991 0.924412i −0.752904 0.658130i \(-0.771348\pi\)
0.963895 0.266282i \(-0.0857952\pi\)
\(488\) −13.4363 6.47060i −0.608235 0.292910i
\(489\) −35.6674 44.7255i −1.61294 2.02256i
\(490\) −5.55717 6.96847i −0.251047 0.314803i
\(491\) 8.71418 + 38.1793i 0.393265 + 1.72301i 0.653026 + 0.757335i \(0.273499\pi\)
−0.259761 + 0.965673i \(0.583644\pi\)
\(492\) −7.93461 3.82111i −0.357720 0.172269i
\(493\) −6.18961 + 2.98076i −0.278766 + 0.134247i
\(494\) −0.886359 3.88339i −0.0398792 0.174722i
\(495\) −7.76494 34.0204i −0.349008 1.52911i
\(496\) 4.37393 2.10637i 0.196395 0.0945789i
\(497\) −10.1226 4.87480i −0.454061 0.218664i
\(498\) 5.01400 + 21.9678i 0.224683 + 0.984400i
\(499\) 0.364149 + 0.456628i 0.0163015 + 0.0204415i 0.789915 0.613216i \(-0.210124\pi\)
−0.773614 + 0.633657i \(0.781553\pi\)
\(500\) −10.4160 13.0612i −0.465816 0.584115i
\(501\) −1.61952 0.779922i −0.0723550 0.0348443i
\(502\) −0.210668 + 0.922995i −0.00940256 + 0.0411953i
\(503\) 6.70424 8.40686i 0.298927 0.374843i −0.609571 0.792732i \(-0.708658\pi\)
0.908498 + 0.417888i \(0.137230\pi\)
\(504\) 4.96282 21.7435i 0.221061 0.968534i
\(505\) 1.30261 0.627302i 0.0579652 0.0279146i
\(506\) −3.29009 4.12564i −0.146262 0.183407i
\(507\) −6.12144 + 2.94793i −0.271863 + 0.130922i
\(508\) 11.6746 14.6394i 0.517975 0.649520i
\(509\) −7.45659 −0.330508 −0.165254 0.986251i \(-0.552844\pi\)
−0.165254 + 0.986251i \(0.552844\pi\)
\(510\) −5.03740 −0.223060
\(511\) −0.581366 + 0.729010i −0.0257181 + 0.0322495i
\(512\) 7.22419 + 3.47899i 0.319267 + 0.153751i
\(513\) 4.95636 + 21.7152i 0.218829 + 0.958752i
\(514\) 4.81757 21.1072i 0.212494 0.930997i
\(515\) −38.4889 −1.69602
\(516\) 26.0460 13.8580i 1.14661 0.610066i
\(517\) 0.959028 0.0421780
\(518\) −1.04292 + 4.56935i −0.0458234 + 0.200766i
\(519\) −4.10823 17.9994i −0.180331 0.790084i
\(520\) −15.7169 7.56886i −0.689232 0.331917i
\(521\) −12.7134 + 15.9421i −0.556986 + 0.698438i −0.977997 0.208617i \(-0.933104\pi\)
0.421011 + 0.907055i \(0.361675\pi\)
\(522\) −39.9420 −1.74822
\(523\) −25.9257 −1.13365 −0.566825 0.823838i \(-0.691829\pi\)
−0.566825 + 0.823838i \(0.691829\pi\)
\(524\) −2.40416 + 3.01472i −0.105026 + 0.131699i
\(525\) 3.32909 1.60321i 0.145293 0.0699696i
\(526\) −4.91919 6.16847i −0.214487 0.268958i
\(527\) 6.07863 2.92731i 0.264789 0.127516i
\(528\) −1.21341 + 5.31628i −0.0528068 + 0.231362i
\(529\) −9.14634 + 11.4691i −0.397667 + 0.498659i
\(530\) 1.34984 5.91402i 0.0586331 0.256889i
\(531\) −79.5513 38.3099i −3.45223 1.66251i
\(532\) 1.51795 + 1.90345i 0.0658114 + 0.0825249i
\(533\) −4.02898 5.05218i −0.174515 0.218834i
\(534\) 8.14473 + 35.6844i 0.352457 + 1.54421i
\(535\) 27.6990 + 13.3391i 1.19753 + 0.576702i
\(536\) −5.92347 + 2.85259i −0.255855 + 0.123213i
\(537\) 7.47549 + 32.7523i 0.322591 + 1.41336i
\(538\) −4.35528 19.0817i −0.187769 0.822672i
\(539\) −12.0808 + 5.81783i −0.520359 + 0.250591i
\(540\) 36.0598 + 17.3655i 1.55177 + 0.747291i
\(541\) −4.96039 21.7329i −0.213264 0.934370i −0.962332 0.271877i \(-0.912356\pi\)
0.749068 0.662493i \(-0.230502\pi\)
\(542\) −14.8474 18.6181i −0.637752 0.799715i
\(543\) 0.923083 + 1.15751i 0.0396133 + 0.0496735i
\(544\) 5.27272 + 2.53921i 0.226066 + 0.108868i
\(545\) −7.74659 + 33.9400i −0.331828 + 1.45383i
\(546\) 5.87135 7.36244i 0.251271 0.315084i
\(547\) −0.145815 + 0.638856i −0.00623458 + 0.0273155i −0.977950 0.208841i \(-0.933031\pi\)
0.971715 + 0.236157i \(0.0758879\pi\)
\(548\) 8.02860 3.86637i 0.342965 0.165163i
\(549\) 26.1975 + 32.8507i 1.11808 + 1.40203i
\(550\) 1.66439 0.801529i 0.0709699 0.0341773i
\(551\) 6.62563 8.30828i 0.282261 0.353945i
\(552\) 24.6874 1.05076
\(553\) −7.02038 −0.298537
\(554\) −4.27222 + 5.35719i −0.181509 + 0.227605i
\(555\) −30.9100 14.8855i −1.31206 0.631853i
\(556\) 3.41300 + 14.9533i 0.144744 + 0.634163i
\(557\) 6.27420 27.4891i 0.265846 1.16475i −0.648949 0.760832i \(-0.724791\pi\)
0.914796 0.403917i \(-0.132352\pi\)
\(558\) 39.2259 1.66056
\(559\) 21.6306 0.869281i 0.914878 0.0367667i
\(560\) 1.62559 0.0686937
\(561\) −1.68632 + 7.38826i −0.0711965 + 0.311932i
\(562\) 0.00632803 + 0.0277249i 0.000266932 + 0.00116951i
\(563\) 17.4503 + 8.40364i 0.735444 + 0.354171i 0.763823 0.645426i \(-0.223320\pi\)
−0.0283788 + 0.999597i \(0.509034\pi\)
\(564\) −1.14778 + 1.43928i −0.0483304 + 0.0606044i
\(565\) −22.8109 −0.959664
\(566\) −9.99152 −0.419975
\(567\) −17.0628 + 21.3960i −0.716568 + 0.898548i
\(568\) 23.6766 11.4021i 0.993450 0.478420i
\(569\) −6.30345 7.90427i −0.264254 0.331364i 0.631947 0.775011i \(-0.282256\pi\)
−0.896202 + 0.443647i \(0.853684\pi\)
\(570\) 7.02038 3.38084i 0.294051 0.141608i
\(571\) 3.46151 15.1658i 0.144860 0.634671i −0.849407 0.527739i \(-0.823040\pi\)
0.994266 0.106932i \(-0.0341028\pi\)
\(572\) −6.71355 + 8.41853i −0.280708 + 0.351996i
\(573\) 3.04849 13.3563i 0.127353 0.557968i
\(574\) −1.55590 0.749280i −0.0649418 0.0312743i
\(575\) 1.81829 + 2.28007i 0.0758280 + 0.0950853i
\(576\) 14.5265 + 18.2156i 0.605270 + 0.758984i
\(577\) −0.185790 0.814000i −0.00773455 0.0338873i 0.970913 0.239431i \(-0.0769609\pi\)
−0.978648 + 0.205544i \(0.934104\pi\)
\(578\) 0.702779 + 0.338440i 0.0292317 + 0.0140773i
\(579\) 76.3207 36.7541i 3.17178 1.52745i
\(580\) −4.24903 18.6162i −0.176431 0.772997i
\(581\) −2.24866 9.85201i −0.0932900 0.408730i
\(582\) 24.5783 11.8363i 1.01880 0.490630i
\(583\) −8.22211 3.95956i −0.340525 0.163988i
\(584\) −0.485309 2.12628i −0.0200822 0.0879860i
\(585\) 30.6440 + 38.4264i 1.26698 + 1.58874i
\(586\) 9.66482 + 12.1193i 0.399250 + 0.500644i
\(587\) −29.6443 14.2760i −1.22355 0.589232i −0.293254 0.956035i \(-0.594738\pi\)
−0.930299 + 0.366802i \(0.880452\pi\)
\(588\) 5.72740 25.0934i 0.236194 1.03483i
\(589\) −6.50683 + 8.15931i −0.268109 + 0.336198i
\(590\) −4.10689 + 17.9935i −0.169078 + 0.740779i
\(591\) −25.5281 + 12.2937i −1.05009 + 0.505695i
\(592\) 2.38335 + 2.98862i 0.0979549 + 0.122832i
\(593\) −26.3303 + 12.6800i −1.08126 + 0.520705i −0.887718 0.460387i \(-0.847711\pi\)
−0.193538 + 0.981093i \(0.561996\pi\)
\(594\) −16.4143 + 20.5829i −0.673486 + 0.844525i
\(595\) 2.25915 0.0926161
\(596\) −14.5128 −0.594469
\(597\) 0.103517 0.129806i 0.00423666 0.00531260i
\(598\) 6.69633 + 3.22478i 0.273833 + 0.131871i
\(599\) −10.2637 44.9684i −0.419365 1.83736i −0.536046 0.844188i \(-0.680083\pi\)
0.116682 0.993169i \(-0.462774\pi\)
\(600\) −1.92315 + 8.42589i −0.0785124 + 0.343985i
\(601\) −42.0367 −1.71471 −0.857357 0.514723i \(-0.827895\pi\)
−0.857357 + 0.514723i \(0.827895\pi\)
\(602\) 5.10736 2.71742i 0.208160 0.110754i
\(603\) 18.5236 0.754340
\(604\) −0.219410 + 0.961297i −0.00892766 + 0.0391146i
\(605\) −2.44730 10.7223i −0.0994970 0.435925i
\(606\) −1.64472 0.792055i −0.0668121 0.0321750i
\(607\) 9.90852 12.4249i 0.402175 0.504311i −0.538965 0.842328i \(-0.681185\pi\)
0.941140 + 0.338017i \(0.109756\pi\)
\(608\) −9.05253 −0.367128
\(609\) 25.1228 1.01803
\(610\) 5.47602 6.86671i 0.221718 0.278025i
\(611\) −1.21700 + 0.586076i −0.0492345 + 0.0237101i
\(612\) −6.46694 8.10929i −0.261411 0.327799i
\(613\) 25.2435 12.1566i 1.01958 0.491002i 0.152039 0.988374i \(-0.451416\pi\)
0.867537 + 0.497372i \(0.165702\pi\)
\(614\) −3.87479 + 16.9766i −0.156374 + 0.685118i
\(615\) 7.88147 9.88305i 0.317812 0.398523i
\(616\) −1.56062 + 6.83751i −0.0628791 + 0.275491i
\(617\) −6.82128 3.28495i −0.274614 0.132247i 0.291508 0.956568i \(-0.405843\pi\)
−0.566123 + 0.824321i \(0.691557\pi\)
\(618\) 30.3000 + 37.9950i 1.21885 + 1.52838i
\(619\) 4.95895 + 6.21832i 0.199317 + 0.249935i 0.871438 0.490506i \(-0.163188\pi\)
−0.672121 + 0.740441i \(0.734617\pi\)
\(620\) 4.17284 + 18.2824i 0.167585 + 0.734240i
\(621\) −37.4447 18.0324i −1.50261 0.723617i
\(622\) 21.6707 10.4360i 0.868915 0.418447i
\(623\) −3.65271 16.0036i −0.146343 0.641170i
\(624\) −1.70905 7.48785i −0.0684169 0.299754i
\(625\) 17.0526 8.21210i 0.682104 0.328484i
\(626\) 9.29127 + 4.47444i 0.371354 + 0.178835i
\(627\) −2.60846 11.4284i −0.104172 0.456407i
\(628\) −8.49191 10.6485i −0.338864 0.424922i
\(629\) 3.31223 + 4.15341i 0.132067 + 0.165607i
\(630\) 11.8340 + 5.69895i 0.471478 + 0.227052i
\(631\) 3.49565 15.3155i 0.139160 0.609699i −0.856461 0.516212i \(-0.827342\pi\)
0.995621 0.0934867i \(-0.0298013\pi\)
\(632\) 10.2381 12.8381i 0.407248 0.510673i
\(633\) 11.9089 52.1761i 0.473335 2.07382i
\(634\) −20.8333 + 10.0328i −0.827397 + 0.398453i
\(635\) 16.7572 + 21.0129i 0.664991 + 0.833872i
\(636\) 15.7828 7.60057i 0.625827 0.301382i
\(637\) 11.7751 14.7656i 0.466548 0.585033i
\(638\) 12.5603 0.497265
\(639\) −74.0406 −2.92900
\(640\) −11.5399 + 14.4706i −0.456154 + 0.571999i
\(641\) 5.63675 + 2.71451i 0.222638 + 0.107217i 0.541878 0.840457i \(-0.317713\pi\)
−0.319240 + 0.947674i \(0.603428\pi\)
\(642\) −8.63782 37.8448i −0.340908 1.49361i
\(643\) 6.88286 30.1558i 0.271434 1.18923i −0.636888 0.770956i \(-0.719779\pi\)
0.908322 0.418272i \(-0.137364\pi\)
\(644\) −4.54272 −0.179008
\(645\) 11.0735 + 40.8744i 0.436020 + 1.60943i
\(646\) −1.20657 −0.0474720
\(647\) −1.18825 + 5.20606i −0.0467149 + 0.204671i −0.992900 0.118956i \(-0.962045\pi\)
0.946185 + 0.323627i \(0.104902\pi\)
\(648\) −14.2435 62.4050i −0.559539 2.45150i
\(649\) 25.0158 + 12.0470i 0.981958 + 0.472886i
\(650\) −1.62228 + 2.03427i −0.0636309 + 0.0797906i
\(651\) −24.6723 −0.966985
\(652\) −24.6213 −0.964243
\(653\) −15.1189 + 18.9585i −0.591648 + 0.741903i −0.984050 0.177891i \(-0.943073\pi\)
0.392402 + 0.919794i \(0.371644\pi\)
\(654\) 39.6030 19.0718i 1.54860 0.745767i
\(655\) −3.45084 4.32722i −0.134836 0.169078i
\(656\) −1.26899 + 0.611111i −0.0495455 + 0.0238599i
\(657\) −1.36734 + 5.99072i −0.0533452 + 0.233720i
\(658\) −0.225068 + 0.282227i −0.00877408 + 0.0110024i
\(659\) −9.38664 + 41.1256i −0.365652 + 1.60202i 0.372929 + 0.927860i \(0.378353\pi\)
−0.738581 + 0.674165i \(0.764504\pi\)
\(660\) −18.9778 9.13921i −0.738708 0.355743i
\(661\) 17.2130 + 21.5845i 0.669510 + 0.839539i 0.994341 0.106233i \(-0.0338790\pi\)
−0.324831 + 0.945772i \(0.605308\pi\)
\(662\) 13.6364 + 17.0995i 0.529994 + 0.664592i
\(663\) −2.37514 10.4062i −0.0922429 0.404142i
\(664\) 21.2956 + 10.2554i 0.826429 + 0.397987i
\(665\) −3.14847 + 1.51622i −0.122092 + 0.0587966i
\(666\) 6.87289 + 30.1121i 0.266319 + 1.16682i
\(667\) 4.41222 + 19.3312i 0.170842 + 0.748508i
\(668\) −0.697037 + 0.335675i −0.0269692 + 0.0129877i
\(669\) 19.3482 + 9.31758i 0.748043 + 0.360239i
\(670\) −0.861592 3.77488i −0.0332862 0.145836i
\(671\) −8.23812 10.3303i −0.318029 0.398796i
\(672\) −13.3435 16.7322i −0.514736 0.645459i
\(673\) 27.5224 + 13.2541i 1.06091 + 0.510908i 0.881167 0.472805i \(-0.156759\pi\)
0.179745 + 0.983713i \(0.442473\pi\)
\(674\) 1.43592 6.29118i 0.0553096 0.242327i
\(675\) 9.07148 11.3753i 0.349161 0.437835i
\(676\) −0.650704 + 2.85092i −0.0250271 + 0.109651i
\(677\) 3.57022 1.71933i 0.137215 0.0660790i −0.364017 0.931392i \(-0.618595\pi\)
0.501231 + 0.865313i \(0.332881\pi\)
\(678\) 17.9577 + 22.5183i 0.689662 + 0.864809i
\(679\) −11.0228 + 5.30829i −0.423015 + 0.203713i
\(680\) −3.29459 + 4.13129i −0.126342 + 0.158428i
\(681\) −27.0278 −1.03571
\(682\) −12.3350 −0.472333
\(683\) 18.8650 23.6560i 0.721851 0.905172i −0.276590 0.960988i \(-0.589205\pi\)
0.998441 + 0.0558158i \(0.0177760\pi\)
\(684\) 14.4552 + 6.96126i 0.552708 + 0.266170i
\(685\) 2.84618 + 12.4699i 0.108747 + 0.476452i
\(686\) 2.49731 10.9414i 0.0953479 0.417746i
\(687\) 84.2618 3.21479
\(688\) 0.864390 4.63861i 0.0329545 0.176845i
\(689\) 12.8535 0.489681
\(690\) −3.23527 + 14.1746i −0.123165 + 0.539619i
\(691\) 9.43599 + 41.3418i 0.358962 + 1.57272i 0.755785 + 0.654820i \(0.227256\pi\)
−0.396823 + 0.917895i \(0.629887\pi\)
\(692\) −7.15917 3.44767i −0.272151 0.131061i
\(693\) 12.3201 15.4489i 0.468002 0.586856i
\(694\) −18.3919 −0.698148
\(695\) −22.0155 −0.835094
\(696\) −36.6374 + 45.9419i −1.38874 + 1.74142i
\(697\) −1.76356 + 0.849286i −0.0667996 + 0.0321690i
\(698\) 15.1960 + 19.0552i 0.575177 + 0.721249i
\(699\) 65.3546 31.4731i 2.47194 1.19042i
\(700\) 0.353879 1.55045i 0.0133754 0.0586014i
\(701\) 28.2927 35.4779i 1.06860 1.33998i 0.131345 0.991337i \(-0.458070\pi\)
0.937255 0.348645i \(-0.113358\pi\)
\(702\) 8.25112 36.1505i 0.311418 1.36441i
\(703\) −7.40365 3.56541i −0.279234 0.134472i
\(704\) −4.56802 5.72812i −0.172164 0.215887i
\(705\) −1.64749 2.06588i −0.0620479 0.0778056i
\(706\) −2.10659 9.22958i −0.0792826 0.347360i
\(707\) 0.737616 + 0.355217i 0.0277409 + 0.0133593i
\(708\) −48.0192 + 23.1248i −1.80467 + 0.869084i
\(709\) 4.91100 + 21.5165i 0.184437 + 0.808070i 0.979484 + 0.201522i \(0.0645888\pi\)
−0.795047 + 0.606547i \(0.792554\pi\)
\(710\) 3.44386 + 15.0885i 0.129246 + 0.566262i
\(711\) −41.6828 + 20.0734i −1.56323 + 0.752811i
\(712\) 34.5925 + 16.6588i 1.29641 + 0.624317i
\(713\) −4.33311 18.9846i −0.162276 0.710979i
\(714\) −1.77850 2.23016i −0.0665586 0.0834618i
\(715\) −9.63639 12.0836i −0.360380 0.451903i
\(716\) 13.0271 + 6.27351i 0.486845 + 0.234452i
\(717\) 7.51049 32.9056i 0.280484 1.22888i
\(718\) 3.88627 4.87323i 0.145034 0.181867i
\(719\) 5.61395 24.5963i 0.209365 0.917288i −0.755626 0.655004i \(-0.772667\pi\)
0.964991 0.262284i \(-0.0844757\pi\)
\(720\) 9.65178 4.64805i 0.359701 0.173223i
\(721\) −13.5888 17.0398i −0.506074 0.634597i
\(722\) −11.6713 + 5.62058i −0.434359 + 0.209176i
\(723\) 22.8741 28.6832i 0.850696 1.06674i
\(724\) 0.637206 0.0236816
\(725\) −6.94152 −0.257802
\(726\) −8.65815 + 10.8570i −0.321334 + 0.402940i
\(727\) 3.11761 + 1.50136i 0.115626 + 0.0556824i 0.490802 0.871271i \(-0.336704\pi\)
−0.375177 + 0.926953i \(0.622418\pi\)
\(728\) −2.19809 9.63047i −0.0814667 0.356929i
\(729\) −9.05129 + 39.6563i −0.335233 + 1.46875i
\(730\) 1.28443 0.0475390
\(731\) 1.20128 6.44647i 0.0444309 0.238431i
\(732\) 25.3629 0.937439
\(733\) −6.01889 + 26.3705i −0.222313 + 0.974016i 0.733419 + 0.679777i \(0.237923\pi\)
−0.955732 + 0.294239i \(0.904934\pi\)
\(734\) −0.558060 2.44502i −0.0205984 0.0902474i
\(735\) 33.2858 + 16.0296i 1.22776 + 0.591260i
\(736\) 10.5314 13.2060i 0.388194 0.486780i
\(737\) −5.82497 −0.214566
\(738\) −11.3804 −0.418918
\(739\) −20.3731 + 25.5471i −0.749438 + 0.939766i −0.999596 0.0284393i \(-0.990946\pi\)
0.250157 + 0.968205i \(0.419518\pi\)
\(740\) −13.3035 + 6.40664i −0.489048 + 0.235513i
\(741\) 10.2942 + 12.9085i 0.378167 + 0.474206i
\(742\) 3.09483 1.49039i 0.113615 0.0547141i
\(743\) −10.7133 + 46.9381i −0.393033 + 1.72199i 0.260836 + 0.965383i \(0.416002\pi\)
−0.653869 + 0.756608i \(0.726855\pi\)
\(744\) 35.9805 45.1181i 1.31911 1.65411i
\(745\) 4.63537 20.3089i 0.169827 0.744061i
\(746\) −20.7939 10.0138i −0.761319 0.366632i
\(747\) −41.5211 52.0658i −1.51918 1.90499i
\(748\) 2.03361 + 2.55006i 0.0743561 + 0.0932395i
\(749\) 3.87385 + 16.9725i 0.141547 + 0.620160i
\(750\) −27.2785 13.1366i −0.996070 0.479682i
\(751\) −10.9323 + 5.26473i −0.398926 + 0.192113i −0.622581 0.782556i \(-0.713916\pi\)
0.223654 + 0.974669i \(0.428201\pi\)
\(752\) 0.0655137 + 0.287034i 0.00238904 + 0.0104671i
\(753\) −0.873218 3.82582i −0.0318218 0.139420i
\(754\) −15.9389 + 7.67575i −0.580459 + 0.279534i
\(755\) −1.27514 0.614073i −0.0464070 0.0223484i
\(756\) 5.04315 + 22.0955i 0.183418 + 0.803605i
\(757\) 27.9030 + 34.9892i 1.01415 + 1.27171i 0.961995 + 0.273066i \(0.0880379\pi\)
0.0521559 + 0.998639i \(0.483391\pi\)
\(758\) −1.53803