Properties

Label 171.2.x.a.110.14
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.14
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28121 - 1.07506i) q^{2} +(0.658438 - 1.60202i) q^{3} +(0.138440 - 0.785130i) q^{4} +(-0.199661 + 0.548565i) q^{5} +(-0.878670 - 2.76037i) q^{6} +(-1.25763 - 2.17828i) q^{7} +(1.00580 + 1.74210i) q^{8} +(-2.13292 - 2.10966i) q^{9} +O(q^{10})\) \(q+(1.28121 - 1.07506i) q^{2} +(0.658438 - 1.60202i) q^{3} +(0.138440 - 0.785130i) q^{4} +(-0.199661 + 0.548565i) q^{5} +(-0.878670 - 2.76037i) q^{6} +(-1.25763 - 2.17828i) q^{7} +(1.00580 + 1.74210i) q^{8} +(-2.13292 - 2.10966i) q^{9} +(0.333933 + 0.917472i) q^{10} +0.404547i q^{11} +(-1.16664 - 0.738742i) q^{12} +(2.33106 + 6.40453i) q^{13} +(-3.95307 - 1.43880i) q^{14} +(0.747346 + 0.681056i) q^{15} +(4.65983 + 1.69604i) q^{16} +(1.57381 - 4.32400i) q^{17} +(-5.00072 - 0.409890i) q^{18} +(-3.47008 + 2.63790i) q^{19} +(0.403054 + 0.232703i) q^{20} +(-4.31772 + 0.580486i) q^{21} +(0.434912 + 0.518308i) q^{22} +(-6.06451 - 1.06934i) q^{23} +(3.45314 - 0.464249i) q^{24} +(3.56916 + 2.99488i) q^{25} +(9.87182 + 5.69950i) q^{26} +(-4.78410 + 2.02790i) q^{27} +(-1.88434 + 0.685845i) q^{28} +(0.264049 - 1.49750i) q^{29} +(1.68968 + 0.0691324i) q^{30} -2.99963i q^{31} +(4.01296 - 1.46060i) q^{32} +(0.648091 + 0.266369i) q^{33} +(-2.63218 - 7.23187i) q^{34} +(1.44603 - 0.254974i) q^{35} +(-1.95164 + 1.38256i) q^{36} +7.01209i q^{37} +(-1.60999 + 7.11024i) q^{38} +(11.7950 + 0.482587i) q^{39} +(-1.15648 + 0.203918i) q^{40} +(3.94971 - 3.31420i) q^{41} +(-4.90783 + 5.38553i) q^{42} +(-0.105574 - 0.598738i) q^{43} +(0.317622 + 0.0560053i) q^{44} +(1.58314 - 0.748828i) q^{45} +(-8.91949 + 5.14967i) q^{46} +(-4.36769 - 0.770141i) q^{47} +(5.78529 - 6.34840i) q^{48} +(0.336719 - 0.583215i) q^{49} +7.79251 q^{50} +(-5.89086 - 5.36835i) q^{51} +(5.35110 - 0.943543i) q^{52} +(-2.63029 - 2.20707i) q^{53} +(-3.94931 + 7.74135i) q^{54} +(-0.221920 - 0.0807723i) q^{55} +(2.52986 - 4.38185i) q^{56} +(1.94113 + 7.29603i) q^{57} +(-1.27160 - 2.20247i) q^{58} +(-1.31593 - 7.46301i) q^{59} +(0.638180 - 0.492479i) q^{60} +(-10.7552 + 3.91458i) q^{61} +(-3.22478 - 3.84315i) q^{62} +(-1.91300 + 7.29928i) q^{63} +(-1.38769 + 2.40355i) q^{64} -3.97872 q^{65} +(1.11670 - 0.355463i) q^{66} +(1.54091 - 1.83638i) q^{67} +(-3.17702 - 1.83425i) q^{68} +(-5.70620 + 9.01136i) q^{69} +(1.57855 - 1.88124i) q^{70} +(5.10921 - 4.28714i) q^{71} +(1.52994 - 5.83767i) q^{72} +(-2.34660 - 13.3082i) q^{73} +(7.53841 + 8.98393i) q^{74} +(7.14793 - 3.74592i) q^{75} +(1.59070 + 3.08966i) q^{76} +(0.881218 - 0.508771i) q^{77} +(15.6307 - 12.0621i) q^{78} +(-0.472257 + 1.29752i) q^{79} +(-1.86078 + 2.21759i) q^{80} +(0.0986944 + 8.99946i) q^{81} +(1.49743 - 8.49234i) q^{82} +(-11.3968 + 6.57996i) q^{83} +(-0.141987 + 3.47034i) q^{84} +(2.05776 + 1.72667i) q^{85} +(-0.778940 - 0.653608i) q^{86} +(-2.22516 - 1.40902i) q^{87} +(-0.704762 + 0.406895i) q^{88} +(-1.53648 + 8.71380i) q^{89} +(1.22330 - 2.66138i) q^{90} +(11.0193 - 13.1323i) q^{91} +(-1.67914 + 4.61339i) q^{92} +(-4.80547 - 1.97507i) q^{93} +(-6.42386 + 3.70882i) q^{94} +(-0.754220 - 2.43025i) q^{95} +(0.302380 - 7.39055i) q^{96} +(-2.35590 - 2.80765i) q^{97} +(-0.195584 - 1.10921i) q^{98} +(0.853455 - 0.862866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28121 1.07506i 0.905949 0.760182i −0.0653946 0.997859i \(-0.520831\pi\)
0.971344 + 0.237678i \(0.0763862\pi\)
\(3\) 0.658438 1.60202i 0.380149 0.924925i
\(4\) 0.138440 0.785130i 0.0692198 0.392565i
\(5\) −0.199661 + 0.548565i −0.0892912 + 0.245326i −0.976298 0.216431i \(-0.930558\pi\)
0.887007 + 0.461757i \(0.152781\pi\)
\(6\) −0.878670 2.76037i −0.358715 1.12692i
\(7\) −1.25763 2.17828i −0.475341 0.823314i 0.524261 0.851558i \(-0.324342\pi\)
−0.999601 + 0.0282440i \(0.991008\pi\)
\(8\) 1.00580 + 1.74210i 0.355605 + 0.615927i
\(9\) −2.13292 2.10966i −0.710973 0.703219i
\(10\) 0.333933 + 0.917472i 0.105599 + 0.290130i
\(11\) 0.404547i 0.121975i 0.998139 + 0.0609877i \(0.0194250\pi\)
−0.998139 + 0.0609877i \(0.980575\pi\)
\(12\) −1.16664 0.738742i −0.336779 0.213256i
\(13\) 2.33106 + 6.40453i 0.646519 + 1.77630i 0.630203 + 0.776430i \(0.282972\pi\)
0.0163159 + 0.999867i \(0.494806\pi\)
\(14\) −3.95307 1.43880i −1.05650 0.384536i
\(15\) 0.747346 + 0.681056i 0.192964 + 0.175848i
\(16\) 4.65983 + 1.69604i 1.16496 + 0.424010i
\(17\) 1.57381 4.32400i 0.381704 1.04872i −0.588935 0.808181i \(-0.700452\pi\)
0.970639 0.240542i \(-0.0773253\pi\)
\(18\) −5.00072 0.409890i −1.17868 0.0966119i
\(19\) −3.47008 + 2.63790i −0.796091 + 0.605176i
\(20\) 0.403054 + 0.232703i 0.0901255 + 0.0520340i
\(21\) −4.31772 + 0.580486i −0.942204 + 0.126672i
\(22\) 0.434912 + 0.518308i 0.0927235 + 0.110504i
\(23\) −6.06451 1.06934i −1.26454 0.222972i −0.499136 0.866524i \(-0.666349\pi\)
−0.765403 + 0.643552i \(0.777460\pi\)
\(24\) 3.45314 0.464249i 0.704869 0.0947644i
\(25\) 3.56916 + 2.99488i 0.713833 + 0.598977i
\(26\) 9.87182 + 5.69950i 1.93602 + 1.11776i
\(27\) −4.78410 + 2.02790i −0.920701 + 0.390269i
\(28\) −1.88434 + 0.685845i −0.356107 + 0.129612i
\(29\) 0.264049 1.49750i 0.0490327 0.278078i −0.950427 0.310948i \(-0.899354\pi\)
0.999460 + 0.0328698i \(0.0104647\pi\)
\(30\) 1.68968 + 0.0691324i 0.308492 + 0.0126218i
\(31\) 2.99963i 0.538750i −0.963035 0.269375i \(-0.913183\pi\)
0.963035 0.269375i \(-0.0868171\pi\)
\(32\) 4.01296 1.46060i 0.709398 0.258200i
\(33\) 0.648091 + 0.266369i 0.112818 + 0.0463689i
\(34\) −2.63218 7.23187i −0.451416 1.24025i
\(35\) 1.44603 0.254974i 0.244424 0.0430985i
\(36\) −1.95164 + 1.38256i −0.325273 + 0.230427i
\(37\) 7.01209i 1.15278i 0.817175 + 0.576390i \(0.195539\pi\)
−0.817175 + 0.576390i \(0.804461\pi\)
\(38\) −1.60999 + 7.11024i −0.261174 + 1.15343i
\(39\) 11.7950 + 0.482587i 1.88872 + 0.0772758i
\(40\) −1.15648 + 0.203918i −0.182855 + 0.0322423i
\(41\) 3.94971 3.31420i 0.616841 0.517591i −0.279968 0.960009i \(-0.590324\pi\)
0.896809 + 0.442418i \(0.145879\pi\)
\(42\) −4.90783 + 5.38553i −0.757295 + 0.831005i
\(43\) −0.105574 0.598738i −0.0160998 0.0913066i 0.975699 0.219115i \(-0.0703169\pi\)
−0.991799 + 0.127808i \(0.959206\pi\)
\(44\) 0.317622 + 0.0560053i 0.0478833 + 0.00844312i
\(45\) 1.58314 0.748828i 0.236001 0.111629i
\(46\) −8.91949 + 5.14967i −1.31511 + 0.759278i
\(47\) −4.36769 0.770141i −0.637093 0.112337i −0.154233 0.988034i \(-0.549291\pi\)
−0.482860 + 0.875698i \(0.660402\pi\)
\(48\) 5.78529 6.34840i 0.835035 0.916312i
\(49\) 0.336719 0.583215i 0.0481028 0.0833164i
\(50\) 7.79251 1.10203
\(51\) −5.89086 5.36835i −0.824886 0.751719i
\(52\) 5.35110 0.943543i 0.742064 0.130846i
\(53\) −2.63029 2.20707i −0.361297 0.303165i 0.444010 0.896022i \(-0.353555\pi\)
−0.805308 + 0.592857i \(0.798000\pi\)
\(54\) −3.94931 + 7.74135i −0.537433 + 1.05346i
\(55\) −0.221920 0.0807723i −0.0299237 0.0108913i
\(56\) 2.52986 4.38185i 0.338067 0.585550i
\(57\) 1.94113 + 7.29603i 0.257110 + 0.966382i
\(58\) −1.27160 2.20247i −0.166969 0.289198i
\(59\) −1.31593 7.46301i −0.171320 0.971602i −0.942307 0.334751i \(-0.891348\pi\)
0.770987 0.636851i \(-0.219763\pi\)
\(60\) 0.638180 0.492479i 0.0823887 0.0635787i
\(61\) −10.7552 + 3.91458i −1.37706 + 0.501211i −0.921287 0.388883i \(-0.872861\pi\)
−0.455778 + 0.890094i \(0.650639\pi\)
\(62\) −3.22478 3.84315i −0.409548 0.488080i
\(63\) −1.91300 + 7.29928i −0.241016 + 0.919623i
\(64\) −1.38769 + 2.40355i −0.173461 + 0.300443i
\(65\) −3.97872 −0.493500
\(66\) 1.11670 0.355463i 0.137456 0.0437545i
\(67\) 1.54091 1.83638i 0.188252 0.224349i −0.663661 0.748033i \(-0.730998\pi\)
0.851913 + 0.523684i \(0.175443\pi\)
\(68\) −3.17702 1.83425i −0.385271 0.222436i
\(69\) −5.70620 + 9.01136i −0.686946 + 1.08484i
\(70\) 1.57855 1.88124i 0.188673 0.224852i
\(71\) 5.10921 4.28714i 0.606352 0.508790i −0.287128 0.957892i \(-0.592701\pi\)
0.893480 + 0.449102i \(0.148256\pi\)
\(72\) 1.52994 5.83767i 0.180305 0.687976i
\(73\) −2.34660 13.3082i −0.274649 1.55761i −0.740075 0.672524i \(-0.765210\pi\)
0.465426 0.885087i \(-0.345901\pi\)
\(74\) 7.53841 + 8.98393i 0.876323 + 1.04436i
\(75\) 7.14793 3.74592i 0.825372 0.432541i
\(76\) 1.59070 + 3.08966i 0.182466 + 0.354408i
\(77\) 0.881218 0.508771i 0.100424 0.0579799i
\(78\) 15.6307 12.0621i 1.76982 1.36576i
\(79\) −0.472257 + 1.29752i −0.0531331 + 0.145982i −0.963420 0.267996i \(-0.913639\pi\)
0.910287 + 0.413978i \(0.135861\pi\)
\(80\) −1.86078 + 2.21759i −0.208041 + 0.247934i
\(81\) 0.0986944 + 8.99946i 0.0109660 + 0.999940i
\(82\) 1.49743 8.49234i 0.165363 0.937822i
\(83\) −11.3968 + 6.57996i −1.25096 + 0.722245i −0.971301 0.237853i \(-0.923556\pi\)
−0.279664 + 0.960098i \(0.590223\pi\)
\(84\) −0.141987 + 3.47034i −0.0154920 + 0.378645i
\(85\) 2.05776 + 1.72667i 0.223196 + 0.187284i
\(86\) −0.778940 0.653608i −0.0839953 0.0704804i
\(87\) −2.22516 1.40902i −0.238562 0.151063i
\(88\) −0.704762 + 0.406895i −0.0751279 + 0.0433751i
\(89\) −1.53648 + 8.71380i −0.162866 + 0.923661i 0.788371 + 0.615201i \(0.210925\pi\)
−0.951237 + 0.308461i \(0.900186\pi\)
\(90\) 1.22330 2.66138i 0.128947 0.280534i
\(91\) 11.0193 13.1323i 1.15513 1.37663i
\(92\) −1.67914 + 4.61339i −0.175062 + 0.480979i
\(93\) −4.80547 1.97507i −0.498304 0.204805i
\(94\) −6.42386 + 3.70882i −0.662570 + 0.382535i
\(95\) −0.754220 2.43025i −0.0773813 0.249339i
\(96\) 0.302380 7.39055i 0.0308616 0.754295i
\(97\) −2.35590 2.80765i −0.239206 0.285074i 0.633064 0.774099i \(-0.281797\pi\)
−0.872270 + 0.489025i \(0.837353\pi\)
\(98\) −0.195584 1.10921i −0.0197570 0.112047i
\(99\) 0.853455 0.862866i 0.0857754 0.0867213i
\(100\) 2.84549 2.38765i 0.284549 0.238765i
\(101\) 5.71285 6.80830i 0.568449 0.677452i −0.402863 0.915260i \(-0.631985\pi\)
0.971312 + 0.237809i \(0.0764292\pi\)
\(102\) −13.3187 0.544928i −1.31875 0.0539559i
\(103\) −0.240253 0.138710i −0.0236728 0.0136675i 0.488117 0.872778i \(-0.337684\pi\)
−0.511790 + 0.859111i \(0.671017\pi\)
\(104\) −8.81277 + 10.5026i −0.864163 + 1.02987i
\(105\) 0.543648 2.48445i 0.0530546 0.242458i
\(106\) −5.74267 −0.557777
\(107\) 2.99056 5.17980i 0.289108 0.500750i −0.684489 0.729023i \(-0.739975\pi\)
0.973597 + 0.228273i \(0.0733079\pi\)
\(108\) 0.929854 + 4.03688i 0.0894752 + 0.388449i
\(109\) 5.96323 + 7.10670i 0.571174 + 0.680698i 0.971871 0.235512i \(-0.0756767\pi\)
−0.400698 + 0.916210i \(0.631232\pi\)
\(110\) −0.371160 + 0.135091i −0.0353888 + 0.0128805i
\(111\) 11.2335 + 4.61702i 1.06624 + 0.438228i
\(112\) −2.16590 12.2834i −0.204658 1.16068i
\(113\) −10.0435 17.3958i −0.944812 1.63646i −0.756128 0.654424i \(-0.772911\pi\)
−0.188684 0.982038i \(-0.560422\pi\)
\(114\) 10.3307 + 7.26088i 0.967555 + 0.680044i
\(115\) 1.79745 3.11327i 0.167613 0.290314i
\(116\) −1.13917 0.414626i −0.105770 0.0384970i
\(117\) 8.53940 18.5781i 0.789468 1.71754i
\(118\) −9.70916 8.14695i −0.893801 0.749988i
\(119\) −11.3982 + 2.00980i −1.04487 + 0.184238i
\(120\) −0.434787 + 1.98696i −0.0396905 + 0.181384i
\(121\) 10.8363 0.985122
\(122\) −9.57125 + 16.5779i −0.866540 + 1.50089i
\(123\) −2.70877 8.50970i −0.244241 0.767293i
\(124\) −2.35510 0.415268i −0.211494 0.0372922i
\(125\) −4.88331 + 2.81938i −0.436777 + 0.252173i
\(126\) 5.39621 + 11.4085i 0.480733 + 1.01635i
\(127\) 14.8487 + 2.61823i 1.31761 + 0.232331i 0.787877 0.615833i \(-0.211180\pi\)
0.529735 + 0.848163i \(0.322291\pi\)
\(128\) 2.28917 + 12.9825i 0.202336 + 1.14751i
\(129\) −1.02870 0.225101i −0.0905721 0.0198190i
\(130\) −5.09756 + 4.27736i −0.447086 + 0.375149i
\(131\) 8.30606 1.46458i 0.725704 0.127961i 0.201420 0.979505i \(-0.435444\pi\)
0.524283 + 0.851544i \(0.324333\pi\)
\(132\) 0.298856 0.471960i 0.0260120 0.0410788i
\(133\) 10.1102 + 4.24131i 0.876665 + 0.367768i
\(134\) 4.00935i 0.346355i
\(135\) −0.157233 3.02928i −0.0135325 0.260719i
\(136\) 9.11579 1.60736i 0.781672 0.137830i
\(137\) 5.33163 + 14.6485i 0.455512 + 1.25151i 0.928793 + 0.370598i \(0.120847\pi\)
−0.473281 + 0.880911i \(0.656931\pi\)
\(138\) 2.37693 + 17.6799i 0.202338 + 1.50501i
\(139\) 5.28626 1.92404i 0.448375 0.163195i −0.107957 0.994156i \(-0.534431\pi\)
0.556331 + 0.830961i \(0.312209\pi\)
\(140\) 1.17062i 0.0989355i
\(141\) −4.10963 + 6.49002i −0.346093 + 0.546559i
\(142\) 1.93703 10.9854i 0.162552 0.921876i
\(143\) −2.59093 + 0.943022i −0.216665 + 0.0788595i
\(144\) −6.36098 13.4482i −0.530082 1.12068i
\(145\) 0.768753 + 0.443840i 0.0638415 + 0.0368589i
\(146\) −17.3136 14.5279i −1.43289 1.20233i
\(147\) −0.712612 0.923441i −0.0587752 0.0761641i
\(148\) 5.50540 + 0.970751i 0.452541 + 0.0797952i
\(149\) 13.0336 + 15.5328i 1.06775 + 1.27250i 0.960503 + 0.278268i \(0.0897605\pi\)
0.107251 + 0.994232i \(0.465795\pi\)
\(150\) 5.13088 12.4837i 0.418935 1.01929i
\(151\) −0.772652 0.446091i −0.0628775 0.0363023i 0.468232 0.883606i \(-0.344891\pi\)
−0.531109 + 0.847303i \(0.678225\pi\)
\(152\) −8.08572 3.39203i −0.655839 0.275130i
\(153\) −12.4790 + 5.90255i −1.00886 + 0.477193i
\(154\) 0.582062 1.59920i 0.0469039 0.128867i
\(155\) 1.64549 + 0.598911i 0.132169 + 0.0481057i
\(156\) 2.01179 9.19382i 0.161072 0.736095i
\(157\) −6.33046 2.30410i −0.505226 0.183887i 0.0768172 0.997045i \(-0.475524\pi\)
−0.582043 + 0.813158i \(0.697746\pi\)
\(158\) 0.789848 + 2.17009i 0.0628369 + 0.172643i
\(159\) −5.26765 + 2.76054i −0.417751 + 0.218925i
\(160\) 2.49299i 0.197089i
\(161\) 5.29761 + 14.5551i 0.417510 + 1.14710i
\(162\) 9.80140 + 11.4241i 0.770071 + 0.897559i
\(163\) 7.41814 + 12.8486i 0.581034 + 1.00638i 0.995357 + 0.0962505i \(0.0306850\pi\)
−0.414323 + 0.910130i \(0.635982\pi\)
\(164\) −2.05528 3.55985i −0.160491 0.277978i
\(165\) −0.275519 + 0.302336i −0.0214491 + 0.0235369i
\(166\) −7.52784 + 20.6826i −0.584273 + 1.60528i
\(167\) 0.834702 4.73383i 0.0645912 0.366315i −0.935330 0.353776i \(-0.884898\pi\)
0.999921 0.0125388i \(-0.00399133\pi\)
\(168\) −5.35405 6.93806i −0.413074 0.535283i
\(169\) −25.6256 + 21.5024i −1.97120 + 1.65403i
\(170\) 4.49269 0.344574
\(171\) 12.9665 + 1.69425i 0.991571 + 0.129562i
\(172\) −0.484702 −0.0369582
\(173\) −6.00586 + 5.03951i −0.456617 + 0.383147i −0.841884 0.539658i \(-0.818554\pi\)
0.385268 + 0.922805i \(0.374109\pi\)
\(174\) −4.36566 + 0.586931i −0.330960 + 0.0444951i
\(175\) 2.03501 11.5411i 0.153832 0.872426i
\(176\) −0.686127 + 1.88512i −0.0517188 + 0.142096i
\(177\) −12.8223 2.80578i −0.963786 0.210896i
\(178\) 7.39931 + 12.8160i 0.554602 + 0.960599i
\(179\) −0.189879 0.328881i −0.0141923 0.0245817i 0.858842 0.512240i \(-0.171184\pi\)
−0.873034 + 0.487659i \(0.837851\pi\)
\(180\) −0.368757 1.34664i −0.0274856 0.100373i
\(181\) −4.35197 11.9569i −0.323479 0.888752i −0.989720 0.143015i \(-0.954320\pi\)
0.666241 0.745736i \(-0.267902\pi\)
\(182\) 28.6715i 2.12527i
\(183\) −0.810416 + 19.8076i −0.0599076 + 1.46422i
\(184\) −4.23681 11.6406i −0.312342 0.858153i
\(185\) −3.84658 1.40004i −0.282807 0.102933i
\(186\) −8.28011 + 2.63569i −0.607127 + 0.193258i
\(187\) 1.74926 + 0.636678i 0.127918 + 0.0465585i
\(188\) −1.20932 + 3.32259i −0.0881989 + 0.242325i
\(189\) 10.4340 + 7.87078i 0.758960 + 0.572515i
\(190\) −3.57898 2.30282i −0.259646 0.167064i
\(191\) 16.9778 + 9.80211i 1.22847 + 0.709256i 0.966709 0.255878i \(-0.0823645\pi\)
0.261758 + 0.965134i \(0.415698\pi\)
\(192\) 2.93682 + 3.80569i 0.211946 + 0.274652i
\(193\) 0.0560858 + 0.0668404i 0.00403714 + 0.00481128i 0.768059 0.640379i \(-0.221223\pi\)
−0.764022 + 0.645190i \(0.776778\pi\)
\(194\) −6.03679 1.06445i −0.433416 0.0764230i
\(195\) −2.61974 + 6.37398i −0.187603 + 0.456450i
\(196\) −0.411284 0.345108i −0.0293774 0.0246506i
\(197\) 12.6355 + 7.29511i 0.900242 + 0.519755i 0.877279 0.479981i \(-0.159357\pi\)
0.0229632 + 0.999736i \(0.492690\pi\)
\(198\) 0.165819 2.02302i 0.0117843 0.143770i
\(199\) 8.66420 3.15351i 0.614189 0.223547i −0.0161461 0.999870i \(-0.505140\pi\)
0.630335 + 0.776323i \(0.282917\pi\)
\(200\) −1.62752 + 9.23012i −0.115083 + 0.652668i
\(201\) −1.92732 3.67770i −0.135943 0.259405i
\(202\) 14.8645i 1.04586i
\(203\) −3.59405 + 1.30813i −0.252253 + 0.0918125i
\(204\) −5.03038 + 3.88190i −0.352197 + 0.271788i
\(205\) 1.02945 + 2.82839i 0.0718998 + 0.197543i
\(206\) −0.456935 + 0.0805699i −0.0318362 + 0.00561357i
\(207\) 10.6792 + 15.0749i 0.742255 + 1.04777i
\(208\) 33.7976i 2.34344i
\(209\) −1.06716 1.40381i −0.0738167 0.0971036i
\(210\) −1.97441 3.76755i −0.136247 0.259985i
\(211\) −6.98414 + 1.23149i −0.480808 + 0.0847794i −0.408799 0.912625i \(-0.634052\pi\)
−0.0720091 + 0.997404i \(0.522941\pi\)
\(212\) −2.09697 + 1.75957i −0.144021 + 0.120848i
\(213\) −3.50397 11.0079i −0.240088 0.754246i
\(214\) −1.73707 9.85142i −0.118744 0.673429i
\(215\) 0.349525 + 0.0616307i 0.0238374 + 0.00420318i
\(216\) −8.34467 6.29473i −0.567783 0.428302i
\(217\) −6.53405 + 3.77244i −0.443560 + 0.256090i
\(218\) 15.2802 + 2.69432i 1.03491 + 0.182482i
\(219\) −22.8651 5.00335i −1.54508 0.338095i
\(220\) −0.0941393 + 0.163054i −0.00634687 + 0.0109931i
\(221\) 31.3618 2.10962
\(222\) 19.3560 6.16131i 1.29909 0.413520i
\(223\) 13.6087 2.39958i 0.911306 0.160688i 0.301710 0.953400i \(-0.402443\pi\)
0.609596 + 0.792712i \(0.291332\pi\)
\(224\) −8.22843 6.90448i −0.549785 0.461325i
\(225\) −1.29456 13.9176i −0.0863041 0.927837i
\(226\) −31.5693 11.4903i −2.09996 0.764323i
\(227\) 4.85622 8.41122i 0.322319 0.558272i −0.658647 0.752452i \(-0.728871\pi\)
0.980966 + 0.194179i \(0.0622044\pi\)
\(228\) 5.99706 0.513984i 0.397165 0.0340394i
\(229\) 1.12422 + 1.94720i 0.0742903 + 0.128675i 0.900777 0.434281i \(-0.142998\pi\)
−0.826487 + 0.562956i \(0.809664\pi\)
\(230\) −1.04405 5.92111i −0.0688427 0.390426i
\(231\) −0.234834 1.74672i −0.0154509 0.114926i
\(232\) 2.87437 1.04619i 0.188712 0.0686855i
\(233\) −18.5722 22.1335i −1.21671 1.45002i −0.855715 0.517447i \(-0.826882\pi\)
−0.360992 0.932569i \(-0.617562\pi\)
\(234\) −9.03181 32.9827i −0.590428 2.15615i
\(235\) 1.29453 2.24219i 0.0844459 0.146265i
\(236\) −6.04161 −0.393275
\(237\) 1.76769 + 1.61090i 0.114824 + 0.104639i
\(238\) −12.4427 + 14.8287i −0.806543 + 0.961200i
\(239\) −8.75151 5.05269i −0.566088 0.326831i 0.189497 0.981881i \(-0.439314\pi\)
−0.755585 + 0.655050i \(0.772647\pi\)
\(240\) 2.32741 + 4.44114i 0.150233 + 0.286674i
\(241\) −4.27935 + 5.09993i −0.275657 + 0.328516i −0.886056 0.463579i \(-0.846565\pi\)
0.610398 + 0.792095i \(0.291009\pi\)
\(242\) 13.8836 11.6497i 0.892471 0.748872i
\(243\) 14.4823 + 5.76747i 0.929038 + 0.369983i
\(244\) 1.58451 + 8.98618i 0.101438 + 0.575281i
\(245\) 0.252701 + 0.301158i 0.0161445 + 0.0192403i
\(246\) −12.6189 7.99059i −0.804553 0.509461i
\(247\) −24.9835 16.0751i −1.58966 1.02284i
\(248\) 5.22567 3.01704i 0.331830 0.191582i
\(249\) 3.03711 + 22.5904i 0.192469 + 1.43161i
\(250\) −3.22553 + 8.86206i −0.204000 + 0.560486i
\(251\) 12.9843 15.4741i 0.819561 0.976714i −0.180416 0.983590i \(-0.557744\pi\)
0.999976 + 0.00687624i \(0.00218879\pi\)
\(252\) 5.46605 + 2.51246i 0.344329 + 0.158270i
\(253\) 0.432597 2.45338i 0.0271971 0.154243i
\(254\) 21.8390 12.6088i 1.37030 0.791145i
\(255\) 4.12106 2.15967i 0.258071 0.135244i
\(256\) 12.6378 + 10.6044i 0.789861 + 0.662772i
\(257\) −12.8250 10.7615i −0.800004 0.671283i 0.148196 0.988958i \(-0.452654\pi\)
−0.948200 + 0.317675i \(0.897098\pi\)
\(258\) −1.55998 + 0.817515i −0.0971198 + 0.0508963i
\(259\) 15.2743 8.81863i 0.949100 0.547963i
\(260\) −0.550813 + 3.12381i −0.0341600 + 0.193731i
\(261\) −3.72240 + 2.63699i −0.230411 + 0.163225i
\(262\) 9.06726 10.8059i 0.560177 0.667593i
\(263\) 0.131317 0.360791i 0.00809736 0.0222473i −0.935578 0.353120i \(-0.885121\pi\)
0.943675 + 0.330873i \(0.107343\pi\)
\(264\) 0.187810 + 1.39696i 0.0115589 + 0.0859767i
\(265\) 1.73589 1.00222i 0.106635 0.0615656i
\(266\) 17.5129 5.43506i 1.07378 0.333245i
\(267\) 12.9480 + 8.19896i 0.792404 + 0.501768i
\(268\) −1.22847 1.46404i −0.0750410 0.0894304i
\(269\) 5.48235 + 31.0919i 0.334265 + 1.89571i 0.434375 + 0.900732i \(0.356969\pi\)
−0.100110 + 0.994976i \(0.531920\pi\)
\(270\) −3.45811 3.71210i −0.210454 0.225911i
\(271\) −7.01972 + 5.89025i −0.426418 + 0.357807i −0.830598 0.556872i \(-0.812001\pi\)
0.404180 + 0.914679i \(0.367557\pi\)
\(272\) 14.6673 17.4799i 0.889338 1.05987i
\(273\) −13.7826 26.2998i −0.834161 1.59174i
\(274\) 22.5790 + 13.0360i 1.36405 + 0.787532i
\(275\) −1.21157 + 1.44389i −0.0730604 + 0.0870700i
\(276\) 6.28513 + 5.72764i 0.378320 + 0.344763i
\(277\) 12.7744 0.767542 0.383771 0.923428i \(-0.374625\pi\)
0.383771 + 0.923428i \(0.374625\pi\)
\(278\) 4.70433 8.14814i 0.282147 0.488693i
\(279\) −6.32820 + 6.39798i −0.378859 + 0.383037i
\(280\) 1.89861 + 2.26268i 0.113464 + 0.135221i
\(281\) −2.26386 + 0.823978i −0.135051 + 0.0491544i −0.408661 0.912686i \(-0.634004\pi\)
0.273611 + 0.961841i \(0.411782\pi\)
\(282\) 1.71188 + 12.7332i 0.101941 + 0.758248i
\(283\) −4.81731 27.3203i −0.286359 1.62402i −0.700390 0.713761i \(-0.746990\pi\)
0.414030 0.910263i \(-0.364121\pi\)
\(284\) −2.65864 4.60491i −0.157761 0.273251i
\(285\) −4.38991 0.391896i −0.260036 0.0232139i
\(286\) −2.30571 + 3.99361i −0.136340 + 0.236147i
\(287\) −12.1865 4.43554i −0.719349 0.261822i
\(288\) −11.6407 5.35063i −0.685934 0.315289i
\(289\) −3.19732 2.68287i −0.188078 0.157816i
\(290\) 1.46209 0.257805i 0.0858566 0.0151388i
\(291\) −6.04913 + 1.92553i −0.354606 + 0.112877i
\(292\) −10.7736 −0.630475
\(293\) 15.6142 27.0446i 0.912193 1.57996i 0.101233 0.994863i \(-0.467721\pi\)
0.810960 0.585101i \(-0.198945\pi\)
\(294\) −1.90576 0.417018i −0.111146 0.0243210i
\(295\) 4.35669 + 0.768201i 0.253656 + 0.0447264i
\(296\) −12.2158 + 7.05278i −0.710028 + 0.409935i
\(297\) −0.820379 1.93539i −0.0476032 0.112303i
\(298\) 33.3975 + 5.88888i 1.93466 + 0.341133i
\(299\) −7.28813 41.3330i −0.421483 2.39035i
\(300\) −1.95148 6.13064i −0.112669 0.353952i
\(301\) −1.17145 + 0.982961i −0.0675211 + 0.0566569i
\(302\) −1.46950 + 0.259112i −0.0845602 + 0.0149102i
\(303\) −7.14547 13.6349i −0.410497 0.783306i
\(304\) −20.6440 + 6.40679i −1.18401 + 0.367454i
\(305\) 6.68152i 0.382583i
\(306\) −9.64252 + 20.9780i −0.551226 + 1.19923i
\(307\) −11.1605 + 1.96789i −0.636961 + 0.112313i −0.482798 0.875732i \(-0.660379\pi\)
−0.154164 + 0.988045i \(0.549268\pi\)
\(308\) −0.277456 0.762305i −0.0158095 0.0434363i
\(309\) −0.380407 + 0.293557i −0.0216406 + 0.0166999i
\(310\) 2.75208 1.00168i 0.156308 0.0568913i
\(311\) 24.3216i 1.37915i 0.724214 + 0.689576i \(0.242203\pi\)
−0.724214 + 0.689576i \(0.757797\pi\)
\(312\) 11.0228 + 21.0335i 0.624041 + 1.19079i
\(313\) −2.25649 + 12.7972i −0.127545 + 0.723341i 0.852219 + 0.523185i \(0.175256\pi\)
−0.979764 + 0.200157i \(0.935855\pi\)
\(314\) −10.5877 + 3.85360i −0.597497 + 0.217471i
\(315\) −3.62217 2.50679i −0.204086 0.141242i
\(316\) 0.953339 + 0.550411i 0.0536295 + 0.0309630i
\(317\) 2.68688 + 2.25456i 0.150910 + 0.126629i 0.715117 0.699005i \(-0.246373\pi\)
−0.564207 + 0.825634i \(0.690818\pi\)
\(318\) −3.78119 + 9.19986i −0.212039 + 0.515902i
\(319\) 0.605807 + 0.106820i 0.0339187 + 0.00598078i
\(320\) −1.04143 1.24113i −0.0582179 0.0693814i
\(321\) −6.32903 8.20150i −0.353252 0.457763i
\(322\) 22.4349 + 12.9528i 1.25025 + 0.721831i
\(323\) 5.94505 + 19.1562i 0.330791 + 1.06588i
\(324\) 7.07941 + 1.16839i 0.393301 + 0.0649108i
\(325\) −10.8609 + 29.8401i −0.602454 + 1.65523i
\(326\) 23.3172 + 8.48676i 1.29142 + 0.470038i
\(327\) 15.3115 4.87388i 0.846726 0.269526i
\(328\) 9.74631 + 3.54737i 0.538150 + 0.195871i
\(329\) 3.81536 + 10.4826i 0.210348 + 0.577926i
\(330\) −0.0279673 + 0.683555i −0.00153955 + 0.0376284i
\(331\) 14.5165i 0.797901i −0.916973 0.398950i \(-0.869375\pi\)
0.916973 0.398950i \(-0.130625\pi\)
\(332\) 3.58835 + 9.85892i 0.196937 + 0.541079i
\(333\) 14.7931 14.9562i 0.810657 0.819596i
\(334\) −4.01972 6.96236i −0.219949 0.380964i
\(335\) 0.699714 + 1.21194i 0.0382295 + 0.0662154i
\(336\) −21.1044 4.61806i −1.15134 0.251936i
\(337\) −3.62311 + 9.95441i −0.197363 + 0.542251i −0.998411 0.0563492i \(-0.982054\pi\)
0.801048 + 0.598600i \(0.204276\pi\)
\(338\) −9.71528 + 55.0981i −0.528441 + 2.99694i
\(339\) −34.4814 + 4.63577i −1.87277 + 0.251781i
\(340\) 1.64054 1.37657i 0.0889705 0.0746551i
\(341\) 1.21349 0.0657143
\(342\) 18.4341 11.7691i 0.996804 0.636398i
\(343\) −19.3007 −1.04214
\(344\) 0.936876 0.786133i 0.0505130 0.0423854i
\(345\) −3.80401 4.92944i −0.204801 0.265392i
\(346\) −2.27696 + 12.9133i −0.122410 + 0.694224i
\(347\) −12.5772 + 34.5556i −0.675179 + 1.85504i −0.186826 + 0.982393i \(0.559820\pi\)
−0.488353 + 0.872646i \(0.662402\pi\)
\(348\) −1.41431 + 1.55197i −0.0758151 + 0.0831944i
\(349\) −10.4080 18.0272i −0.557129 0.964976i −0.997734 0.0672748i \(-0.978570\pi\)
0.440606 0.897701i \(-0.354764\pi\)
\(350\) −9.80012 16.9743i −0.523838 0.907315i
\(351\) −24.1398 25.9128i −1.28848 1.38312i
\(352\) 0.590881 + 1.62343i 0.0314940 + 0.0865292i
\(353\) 0.532095i 0.0283205i 0.999900 + 0.0141603i \(0.00450751\pi\)
−0.999900 + 0.0141603i \(0.995492\pi\)
\(354\) −19.4444 + 10.1900i −1.03346 + 0.541592i
\(355\) 1.33166 + 3.65871i 0.0706772 + 0.194184i
\(356\) 6.62876 + 2.41267i 0.351324 + 0.127871i
\(357\) −4.28524 + 19.5834i −0.226799 + 1.03646i
\(358\) −0.596841 0.217232i −0.0315440 0.0114811i
\(359\) −9.26844 + 25.4648i −0.489170 + 1.34398i 0.412264 + 0.911064i \(0.364738\pi\)
−0.901433 + 0.432918i \(0.857484\pi\)
\(360\) 2.89687 + 2.00483i 0.152678 + 0.105664i
\(361\) 5.08294 18.3075i 0.267523 0.963551i
\(362\) −18.4302 10.6407i −0.968669 0.559261i
\(363\) 7.13505 17.3600i 0.374493 0.911164i
\(364\) −8.78502 10.4696i −0.460460 0.548755i
\(365\) 7.76895 + 1.36988i 0.406646 + 0.0717026i
\(366\) 20.2560 + 26.2488i 1.05880 + 1.37205i
\(367\) −17.6986 14.8509i −0.923857 0.775208i 0.0508471 0.998706i \(-0.483808\pi\)
−0.974704 + 0.223498i \(0.928252\pi\)
\(368\) −26.4460 15.2686i −1.37859 0.795930i
\(369\) −15.4162 1.26361i −0.802537 0.0657809i
\(370\) −6.43340 + 2.34156i −0.334456 + 0.121732i
\(371\) −1.49970 + 8.50519i −0.0778603 + 0.441568i
\(372\) −2.21595 + 3.49949i −0.114892 + 0.181440i
\(373\) 25.0670i 1.29792i 0.760823 + 0.648959i \(0.224795\pi\)
−0.760823 + 0.648959i \(0.775205\pi\)
\(374\) 2.92563 1.06484i 0.151281 0.0550616i
\(375\) 1.30134 + 9.67954i 0.0672010 + 0.499849i
\(376\) −3.05137 8.38358i −0.157363 0.432350i
\(377\) 10.2063 1.79964i 0.525650 0.0926862i
\(378\) 21.8296 1.13306i 1.12280 0.0582781i
\(379\) 19.7225i 1.01308i 0.862217 + 0.506538i \(0.169075\pi\)
−0.862217 + 0.506538i \(0.830925\pi\)
\(380\) −2.01248 + 0.255718i −0.103238 + 0.0131180i
\(381\) 13.9714 22.0640i 0.715777 1.13037i
\(382\) 32.2898 5.69357i 1.65209 0.291308i
\(383\) −16.3804 + 13.7448i −0.836999 + 0.702325i −0.956887 0.290462i \(-0.906191\pi\)
0.119888 + 0.992787i \(0.461747\pi\)
\(384\) 22.3055 + 4.88090i 1.13827 + 0.249077i
\(385\) 0.103149 + 0.584987i 0.00525696 + 0.0298137i
\(386\) 0.143715 + 0.0253408i 0.00731489 + 0.00128981i
\(387\) −1.03795 + 1.49978i −0.0527620 + 0.0762383i
\(388\) −2.53052 + 1.46100i −0.128468 + 0.0741710i
\(389\) −25.6112 4.51595i −1.29854 0.228968i −0.518706 0.854953i \(-0.673586\pi\)
−0.779835 + 0.625985i \(0.784697\pi\)
\(390\) 3.49598 + 10.9828i 0.177026 + 0.556134i
\(391\) −14.1682 + 24.5400i −0.716515 + 1.24104i
\(392\) 1.35469 0.0684224
\(393\) 3.12273 14.2708i 0.157521 0.719866i
\(394\) 24.0313 4.23738i 1.21068 0.213476i
\(395\) −0.617480 0.518127i −0.0310688 0.0260698i
\(396\) −0.559310 0.789528i −0.0281064 0.0396753i
\(397\) 2.93642 + 1.06877i 0.147375 + 0.0536400i 0.414654 0.909979i \(-0.363903\pi\)
−0.267280 + 0.963619i \(0.586125\pi\)
\(398\) 7.71042 13.3548i 0.386488 0.669417i
\(399\) 13.4516 13.4041i 0.673421 0.671043i
\(400\) 11.5523 + 20.0091i 0.577613 + 1.00045i
\(401\) −1.57136 8.91162i −0.0784700 0.445025i −0.998576 0.0533550i \(-0.983009\pi\)
0.920106 0.391670i \(-0.128103\pi\)
\(402\) −6.42304 2.63990i −0.320352 0.131666i
\(403\) 19.2112 6.99232i 0.956980 0.348312i
\(404\) −4.55452 5.42787i −0.226596 0.270046i
\(405\) −4.95649 1.74270i −0.246290 0.0865956i
\(406\) −3.19840 + 5.53980i −0.158734 + 0.274935i
\(407\) −2.83672 −0.140611
\(408\) 3.42716 15.6620i 0.169670 0.775384i
\(409\) 24.5093 29.2091i 1.21191 1.44430i 0.350366 0.936613i \(-0.386057\pi\)
0.861543 0.507684i \(-0.169498\pi\)
\(410\) 4.35962 + 2.51703i 0.215306 + 0.124307i
\(411\) 26.9778 + 1.10378i 1.33072 + 0.0544455i
\(412\) −0.142166 + 0.169427i −0.00700401 + 0.00834705i
\(413\) −14.6016 + 12.2522i −0.718498 + 0.602891i
\(414\) 29.8886 + 7.83323i 1.46894 + 0.384982i
\(415\) −1.33403 7.56566i −0.0654850 0.371384i
\(416\) 18.7089 + 22.2964i 0.917279 + 1.09317i
\(417\) 0.398325 9.73554i 0.0195060 0.476752i
\(418\) −2.87643 0.651315i −0.140691 0.0318569i
\(419\) −10.2452 + 5.91508i −0.500512 + 0.288971i −0.728925 0.684594i \(-0.759980\pi\)
0.228413 + 0.973564i \(0.426646\pi\)
\(420\) −1.87535 0.770781i −0.0915079 0.0376102i
\(421\) −1.20018 + 3.29748i −0.0584934 + 0.160709i −0.965497 0.260413i \(-0.916141\pi\)
0.907004 + 0.421122i \(0.138364\pi\)
\(422\) −7.62419 + 9.08616i −0.371140 + 0.442307i
\(423\) 7.69120 + 10.8570i 0.373959 + 0.527884i
\(424\) 1.19940 6.80211i 0.0582478 0.330340i
\(425\) 18.5670 10.7197i 0.900634 0.519981i
\(426\) −16.3234 10.3364i −0.790872 0.500798i
\(427\) 22.0532 + 18.5048i 1.06723 + 0.895511i
\(428\) −3.65280 3.06507i −0.176565 0.148156i
\(429\) −0.195229 + 4.77164i −0.00942575 + 0.230377i
\(430\) 0.514071 0.296799i 0.0247907 0.0143129i
\(431\) 0.452949 2.56880i 0.0218178 0.123735i −0.971954 0.235173i \(-0.924434\pi\)
0.993771 + 0.111438i \(0.0355456\pi\)
\(432\) −25.7325 + 1.33563i −1.23806 + 0.0642606i
\(433\) 3.13200 3.73257i 0.150514 0.179376i −0.685519 0.728055i \(-0.740425\pi\)
0.836033 + 0.548679i \(0.184869\pi\)
\(434\) −4.31587 + 11.8578i −0.207169 + 0.569191i
\(435\) 1.21722 0.939315i 0.0583610 0.0450367i
\(436\) 6.40523 3.69806i 0.306755 0.177105i
\(437\) 23.8652 12.2869i 1.14163 0.587763i
\(438\) −34.6738 + 18.1710i −1.65678 + 0.868246i
\(439\) −10.5687 12.5953i −0.504418 0.601142i 0.452405 0.891813i \(-0.350566\pi\)
−0.956823 + 0.290670i \(0.906122\pi\)
\(440\) −0.0824944 0.467849i −0.00393276 0.0223038i
\(441\) −1.94858 + 0.533588i −0.0927895 + 0.0254090i
\(442\) 40.1809 33.7158i 1.91121 1.60370i
\(443\) −10.5311 + 12.5505i −0.500349 + 0.596293i −0.955818 0.293959i \(-0.905027\pi\)
0.455469 + 0.890252i \(0.349472\pi\)
\(444\) 5.18012 8.18057i 0.245838 0.388233i
\(445\) −4.47331 2.58267i −0.212055 0.122430i
\(446\) 14.8559 17.7045i 0.703445 0.838334i
\(447\) 33.4657 10.6527i 1.58287 0.503853i
\(448\) 6.98081 0.329812
\(449\) 12.6656 21.9375i 0.597728 1.03529i −0.395428 0.918497i \(-0.629404\pi\)
0.993156 0.116798i \(-0.0372629\pi\)
\(450\) −16.6208 16.4395i −0.783512 0.774967i
\(451\) 1.34075 + 1.59784i 0.0631334 + 0.0752394i
\(452\) −15.0484 + 5.47717i −0.707817 + 0.257625i
\(453\) −1.22339 + 0.944078i −0.0574798 + 0.0443567i
\(454\) −2.82074 15.9972i −0.132384 0.750787i
\(455\) 5.00377 + 8.66679i 0.234580 + 0.406305i
\(456\) −10.7580 + 10.7200i −0.503791 + 0.502011i
\(457\) 10.8524 18.7969i 0.507654 0.879282i −0.492307 0.870422i \(-0.663846\pi\)
0.999961 0.00886020i \(-0.00282033\pi\)
\(458\) 3.53371 + 1.28616i 0.165119 + 0.0600985i
\(459\) 1.23937 + 23.8780i 0.0578490 + 1.11453i
\(460\) −2.19549 1.84223i −0.102365 0.0858945i
\(461\) −22.9177 + 4.04101i −1.06738 + 0.188208i −0.679630 0.733555i \(-0.737860\pi\)
−0.387753 + 0.921763i \(0.626749\pi\)
\(462\) −2.17870 1.98545i −0.101362 0.0923714i
\(463\) 25.0104 1.16233 0.581165 0.813785i \(-0.302597\pi\)
0.581165 + 0.813785i \(0.302597\pi\)
\(464\) 3.77024 6.53024i 0.175029 0.303159i
\(465\) 2.04292 2.24176i 0.0947381 0.103959i
\(466\) −47.5897 8.39135i −2.20455 0.388722i
\(467\) 13.6784 7.89724i 0.632961 0.365440i −0.148937 0.988847i \(-0.547585\pi\)
0.781898 + 0.623406i \(0.214252\pi\)
\(468\) −13.4040 9.27648i −0.619601 0.428806i
\(469\) −5.93805 1.04704i −0.274194 0.0483477i
\(470\) −0.751930 4.26441i −0.0346840 0.196703i
\(471\) −7.85942 + 8.62440i −0.362143 + 0.397392i
\(472\) 11.6778 9.79881i 0.537513 0.451027i
\(473\) 0.242217 0.0427094i 0.0111372 0.00196378i
\(474\) 3.99659 + 0.163518i 0.183569 + 0.00751064i
\(475\) −20.2855 0.977385i −0.930763 0.0448455i
\(476\) 9.22728i 0.422931i
\(477\) 0.954024 + 10.2565i 0.0436818 + 0.469613i
\(478\) −16.6444 + 2.93486i −0.761298 + 0.134237i
\(479\) 8.78811 + 24.1451i 0.401539 + 1.10322i 0.961525 + 0.274717i \(0.0885842\pi\)
−0.559986 + 0.828502i \(0.689194\pi\)
\(480\) 3.99382 + 1.64148i 0.182292 + 0.0749230i
\(481\) −44.9091 + 16.3456i −2.04768 + 0.745295i
\(482\) 11.1346i 0.507168i
\(483\) 26.8056 + 1.09674i 1.21970 + 0.0499033i
\(484\) 1.50018 8.50794i 0.0681900 0.386724i
\(485\) 2.01056 0.731785i 0.0912949 0.0332286i
\(486\) 24.7552 8.17999i 1.12292 0.371052i
\(487\) −17.2791 9.97610i −0.782991 0.452060i 0.0544981 0.998514i \(-0.482644\pi\)
−0.837489 + 0.546454i \(0.815977\pi\)
\(488\) −17.6372 14.7994i −0.798400 0.669938i
\(489\) 25.4681 3.42399i 1.15171 0.154838i
\(490\) 0.647525 + 0.114176i 0.0292522 + 0.00515795i
\(491\) −27.0303 32.2134i −1.21986 1.45377i −0.851716 0.524003i \(-0.824438\pi\)
−0.368143 0.929769i \(-0.620006\pi\)
\(492\) −7.05622 + 0.948656i −0.318119 + 0.0427687i
\(493\) −6.05961 3.49851i −0.272911 0.157565i
\(494\) −49.2907 + 6.26318i −2.21769 + 0.281794i
\(495\) 0.302936 + 0.640456i 0.0136160 + 0.0287864i
\(496\) 5.08750 13.9778i 0.228435 0.627621i
\(497\) −15.7641 5.73767i −0.707117 0.257370i
\(498\) 28.1772 + 25.6779i 1.26265 + 1.15065i
\(499\) −5.31693 1.93520i −0.238018 0.0866316i 0.220257 0.975442i \(-0.429310\pi\)
−0.458275 + 0.888810i \(0.651533\pi\)
\(500\) 1.53754 + 4.22435i 0.0687608 + 0.188919i
\(501\) −7.03408 4.45414i −0.314259 0.198996i
\(502\) 33.7843i 1.50787i
\(503\) −1.26270 3.46923i −0.0563009 0.154685i 0.908354 0.418202i \(-0.137340\pi\)
−0.964655 + 0.263517i \(0.915117\pi\)
\(504\) −14.6402 + 4.00900i −0.652126 + 0.178575i
\(505\) 2.59416 + 4.49322i 0.115439 + 0.199946i
\(506\) −2.08328 3.60835i −0.0926132 0.160411i
\(507\) 17.5744 + 55.2107i 0.780507 + 2.45199i
\(508\) 4.11131 11.2957i 0.182410 0.501167i
\(509\) 0.901032 5.11001i 0.0399376 0.226497i −0.958306 0.285745i \(-0.907759\pi\)
0.998243 + 0.0592476i \(0.0188702\pi\)
\(510\) 2.95816 7.19737i 0.130989 0.318705i
\(511\) −26.0380 + 21.8484i −1.15185 + 0.966518i
\(512\) 1.22629 0.0541947
\(513\) 11.2518 19.6570i 0.496780 0.867876i
\(514\) −28.0008 −1.23506
\(515\) 0.124061 0.104099i 0.00546676 0.00458716i
\(516\) −0.319146 + 0.776502i −0.0140496 + 0.0341836i
\(517\) 0.311558 1.76693i 0.0137023 0.0777097i
\(518\) 10.0890 27.7193i 0.443285 1.21792i
\(519\) 4.11890 + 12.9397i 0.180800 + 0.567989i
\(520\) −4.00181 6.93134i −0.175491 0.303960i
\(521\) 18.4067 + 31.8814i 0.806413 + 1.39675i 0.915333 + 0.402698i \(0.131928\pi\)
−0.108919 + 0.994051i \(0.534739\pi\)
\(522\) −1.93424 + 7.38032i −0.0846595 + 0.323028i
\(523\) −2.82677 7.76649i −0.123606 0.339605i 0.862421 0.506192i \(-0.168947\pi\)
−0.986027 + 0.166587i \(0.946725\pi\)
\(524\) 6.72409i 0.293743i
\(525\) −17.1491 10.8592i −0.748450 0.473935i
\(526\) −0.219627 0.603421i −0.00957621 0.0263104i
\(527\) −12.9704 4.72084i −0.565000 0.205643i
\(528\) 2.56822 + 2.34042i 0.111768 + 0.101854i
\(529\) 14.0219 + 5.10356i 0.609648 + 0.221894i
\(530\) 1.14659 3.15023i 0.0498046 0.136837i
\(531\) −12.9376 + 18.6942i −0.561445 + 0.811258i
\(532\) 4.72963 7.35065i 0.205056 0.318691i
\(533\) 30.4329 + 17.5704i 1.31819 + 0.761060i
\(534\) 25.4034 3.41530i 1.09931 0.147795i
\(535\) 2.24436 + 2.67472i 0.0970320 + 0.115638i
\(536\) 4.74901 + 0.837379i 0.205126 + 0.0361693i
\(537\) −0.651897 + 0.0876427i −0.0281314 + 0.00378206i
\(538\) 40.4497 + 33.9413i 1.74391 + 1.46331i
\(539\) 0.235938 + 0.136219i 0.0101626 + 0.00586735i
\(540\) −2.40015 0.295924i −0.103286 0.0127345i
\(541\) −10.7032 + 3.89566i −0.460168 + 0.167487i −0.561693 0.827346i \(-0.689850\pi\)
0.101526 + 0.994833i \(0.467628\pi\)
\(542\) −2.66135 + 15.0932i −0.114315 + 0.648310i
\(543\) −22.0207 0.900966i −0.944999 0.0386641i
\(544\) 19.6507i 0.842518i
\(545\) −5.08911 + 1.85228i −0.217993 + 0.0793431i
\(546\) −45.9322 18.8784i −1.96572 0.807920i
\(547\) 0.617530 + 1.69665i 0.0264037 + 0.0725435i 0.952194 0.305493i \(-0.0988214\pi\)
−0.925790 + 0.378037i \(0.876599\pi\)
\(548\) 12.2391 2.15809i 0.522829 0.0921889i
\(549\) 31.1984 + 14.3403i 1.33152 + 0.612031i
\(550\) 3.15244i 0.134420i
\(551\) 3.03398 + 5.89297i 0.129252 + 0.251049i
\(552\) −21.4380 0.877126i −0.912464 0.0373330i
\(553\) 3.42028 0.603088i 0.145445 0.0256459i
\(554\) 16.3667 13.7333i 0.695354 0.583471i
\(555\) −4.77563 + 5.24045i −0.202714 + 0.222445i
\(556\) −0.778795 4.41677i −0.0330283 0.187313i
\(557\) −2.75569 0.485903i −0.116763 0.0205884i 0.114962 0.993370i \(-0.463326\pi\)
−0.231724 + 0.972782i \(0.574437\pi\)
\(558\) −1.22952 + 15.0003i −0.0520497 + 0.635014i
\(559\) 3.58853 2.07184i 0.151779 0.0876296i
\(560\) 7.17070 + 1.26439i 0.303018 + 0.0534302i
\(561\) 2.17175 2.38313i 0.0916912 0.100616i
\(562\) −2.01465 + 3.48947i −0.0849828 + 0.147195i
\(563\) −36.2091 −1.52603 −0.763017 0.646379i \(-0.776283\pi\)
−0.763017 + 0.646379i \(0.776283\pi\)
\(564\) 4.52658 + 4.12507i 0.190603 + 0.173697i
\(565\) 11.5480 2.03623i 0.485829 0.0856648i
\(566\) −35.5429 29.8241i −1.49398 1.25360i
\(567\) 19.4793 11.5330i 0.818052 0.484340i
\(568\) 12.6075 + 4.58876i 0.528999 + 0.192540i
\(569\) 7.47528 12.9476i 0.313380 0.542790i −0.665712 0.746209i \(-0.731872\pi\)
0.979092 + 0.203419i \(0.0652053\pi\)
\(570\) −6.04569 + 4.21732i −0.253226 + 0.176644i
\(571\) −7.37174 12.7682i −0.308498 0.534334i 0.669536 0.742779i \(-0.266493\pi\)
−0.978034 + 0.208446i \(0.933160\pi\)
\(572\) 0.381707 + 2.16477i 0.0159600 + 0.0905136i
\(573\) 26.8819 20.7446i 1.12301 0.866617i
\(574\) −20.3820 + 7.41842i −0.850726 + 0.309639i
\(575\) −18.4427 21.9792i −0.769114 0.916594i
\(576\) 8.03048 2.19903i 0.334604 0.0916261i
\(577\) −18.2291 + 31.5737i −0.758886 + 1.31443i 0.184533 + 0.982826i \(0.440923\pi\)
−0.943419 + 0.331603i \(0.892411\pi\)
\(578\) −6.98067 −0.290358
\(579\) 0.144009 0.0458401i 0.00598479 0.00190505i
\(580\) 0.454898 0.542126i 0.0188886 0.0225106i
\(581\) 28.6661 + 16.5504i 1.18927 + 0.686625i
\(582\) −5.68012 + 8.97017i −0.235448 + 0.371826i
\(583\) 0.892863 1.06407i 0.0369786 0.0440694i
\(584\) 20.8241 17.4735i 0.861707 0.723058i
\(585\) 8.48629 + 8.39374i 0.350865 + 0.347038i
\(586\) −9.06955 51.4360i −0.374660 2.12480i
\(587\) −1.91259 2.27934i −0.0789410 0.0940782i 0.725128 0.688614i \(-0.241780\pi\)
−0.804069 + 0.594535i \(0.797336\pi\)
\(588\) −0.823675 + 0.431652i −0.0339678 + 0.0178010i
\(589\) 7.91274 + 10.4090i 0.326039 + 0.428894i
\(590\) 6.40767 3.69947i 0.263800 0.152305i
\(591\) 20.0066 15.4389i 0.822961 0.635072i
\(592\) −11.8928 + 32.6751i −0.488790 + 1.34294i
\(593\) 1.72884 2.06035i 0.0709948 0.0846083i −0.729378 0.684111i \(-0.760190\pi\)
0.800373 + 0.599503i \(0.204635\pi\)
\(594\) −3.13174 1.59768i −0.128497 0.0655536i
\(595\) 1.17326 6.65391i 0.0480991 0.272784i
\(596\) 13.9997 8.08272i 0.573449 0.331081i
\(597\) 0.652856 15.9566i 0.0267196 0.653060i
\(598\) −53.7731 45.1210i −2.19894 1.84513i
\(599\) 18.1064 + 15.1931i 0.739809 + 0.620773i 0.932786 0.360430i \(-0.117370\pi\)
−0.192978 + 0.981203i \(0.561814\pi\)
\(600\) 13.7152 + 8.68477i 0.559920 + 0.354554i
\(601\) −13.4725 + 7.77837i −0.549556 + 0.317286i −0.748943 0.662634i \(-0.769438\pi\)
0.199387 + 0.979921i \(0.436105\pi\)
\(602\) −0.444124 + 2.51875i −0.0181011 + 0.102657i
\(603\) −7.16076 + 0.666068i −0.291609 + 0.0271244i
\(604\) −0.457205 + 0.544875i −0.0186034 + 0.0221707i
\(605\) −2.16360 + 5.94444i −0.0879627 + 0.241676i
\(606\) −23.8132 9.78734i −0.967344 0.397583i
\(607\) −4.10356 + 2.36919i −0.166558 + 0.0961626i −0.580962 0.813931i \(-0.697324\pi\)
0.414404 + 0.910093i \(0.363990\pi\)
\(608\) −10.0724 + 15.6542i −0.408489 + 0.634862i
\(609\) −0.270815 + 6.61905i −0.0109740 + 0.268217i
\(610\) −7.18304 8.56041i −0.290833 0.346601i
\(611\) −5.24894 29.7682i −0.212350 1.20429i
\(612\) 2.90669 + 10.6147i 0.117496 + 0.429076i
\(613\) 29.7951 25.0010i 1.20341 1.00978i 0.203885 0.978995i \(-0.434643\pi\)
0.999526 0.0307869i \(-0.00980132\pi\)
\(614\) −12.1833 + 14.5194i −0.491676 + 0.585957i
\(615\) 5.20895 + 0.213122i 0.210045 + 0.00859389i
\(616\) 1.77266 + 1.02345i 0.0714227 + 0.0412359i
\(617\) 4.98288 5.93837i 0.200603 0.239070i −0.656359 0.754449i \(-0.727904\pi\)
0.856962 + 0.515379i \(0.172349\pi\)
\(618\) −0.171789 + 0.785068i −0.00691035 + 0.0315801i
\(619\) 26.3144 1.05767 0.528833 0.848726i \(-0.322630\pi\)
0.528833 + 0.848726i \(0.322630\pi\)
\(620\) 0.698024 1.20901i 0.0280333 0.0485551i
\(621\) 31.1818 7.18239i 1.25128 0.288219i
\(622\) 26.1472 + 31.1610i 1.04841 + 1.24944i
\(623\) 20.9135 7.61188i 0.837880 0.304963i
\(624\) 54.1443 + 22.2536i 2.16751 + 0.890857i
\(625\) 3.47371 + 19.7004i 0.138949 + 0.788016i
\(626\) 10.8667 + 18.8217i 0.434322 + 0.752268i
\(627\) −2.95158 + 0.785280i −0.117875 + 0.0313610i
\(628\) −2.68540 + 4.65126i −0.107159 + 0.185605i
\(629\) 30.3202 + 11.0357i 1.20895 + 0.440021i
\(630\) −7.33570 + 0.682341i −0.292261 + 0.0271851i
\(631\) −4.47423 3.75433i −0.178116 0.149457i 0.549371 0.835579i \(-0.314867\pi\)
−0.727487 + 0.686121i \(0.759312\pi\)
\(632\) −2.73540 + 0.482326i −0.108809 + 0.0191859i
\(633\) −2.62575 + 11.9996i −0.104364 + 0.476940i
\(634\) 5.86624 0.232978
\(635\) −4.40099 + 7.62273i −0.174648 + 0.302499i
\(636\) 1.43814 + 4.51796i 0.0570258 + 0.179149i
\(637\) 4.52013 + 0.797021i 0.179094 + 0.0315791i
\(638\) 0.891002 0.514420i 0.0352751 0.0203661i
\(639\) −19.9419 1.63456i −0.788891 0.0646623i
\(640\) −7.57882 1.33635i −0.299579 0.0528239i
\(641\) 0.555772 + 3.15194i 0.0219517 + 0.124494i 0.993814 0.111054i \(-0.0354226\pi\)
−0.971863 + 0.235548i \(0.924311\pi\)
\(642\) −16.9259 3.70373i −0.668012 0.146174i
\(643\) −30.3291 + 25.4492i −1.19606 + 1.00362i −0.196331 + 0.980538i \(0.562903\pi\)
−0.999734 + 0.0230796i \(0.992653\pi\)
\(644\) 12.1610 2.14432i 0.479211 0.0844979i
\(645\) 0.328874 0.519366i 0.0129494 0.0204500i
\(646\) 28.2109 + 18.1517i 1.10994 + 0.714170i
\(647\) 27.5631i 1.08362i 0.840502 + 0.541808i \(0.182260\pi\)
−0.840502 + 0.541808i \(0.817740\pi\)
\(648\) −15.5787 + 9.22363i −0.611990 + 0.362338i
\(649\) 3.01914 0.532355i 0.118512 0.0208968i
\(650\) 18.1648 + 49.9074i 0.712482 + 1.95753i
\(651\) 1.74124 + 12.9516i 0.0682447 + 0.507613i
\(652\) 11.1148 4.04545i 0.435289 0.158432i
\(653\) 13.3174i 0.521149i −0.965454 0.260574i \(-0.916088\pi\)
0.965454 0.260574i \(-0.0839119\pi\)
\(654\) 14.3774 22.7052i 0.562202 0.887843i
\(655\) −0.854980 + 4.84883i −0.0334068 + 0.189460i
\(656\) 24.0260 8.74475i 0.938057 0.341425i
\(657\) −23.0707 + 33.3359i −0.900074 + 1.30056i
\(658\) 16.1577 + 9.32866i 0.629893 + 0.363669i
\(659\) −8.52225 7.15102i −0.331980 0.278564i 0.461526 0.887127i \(-0.347302\pi\)
−0.793506 + 0.608562i \(0.791746\pi\)
\(660\) 0.199231 + 0.258174i 0.00775504 + 0.0100494i
\(661\) 2.27762 + 0.401606i 0.0885892 + 0.0156207i 0.217767 0.976001i \(-0.430123\pi\)
−0.129178 + 0.991621i \(0.541234\pi\)
\(662\) −15.6061 18.5987i −0.606550 0.722858i
\(663\) 20.6498 50.2421i 0.801971 1.95124i
\(664\) −22.9260 13.2363i −0.889700 0.513668i
\(665\) −4.34525 + 4.69927i −0.168501 + 0.182230i
\(666\) 2.87418 35.0655i 0.111372 1.35876i
\(667\) −3.20266 + 8.79923i −0.124007 + 0.340707i
\(668\) −3.60112 1.31070i −0.139331 0.0507125i
\(669\) 5.11631 23.3814i 0.197808 0.903976i
\(670\) 2.19939 + 0.800511i 0.0849697 + 0.0309264i
\(671\) −1.58363 4.35099i −0.0611354 0.167968i
\(672\) −16.4790 + 8.63593i −0.635691 + 0.333138i
\(673\) 16.1918i 0.624147i −0.950058 0.312073i \(-0.898977\pi\)
0.950058 0.312073i \(-0.101023\pi\)
\(674\) 6.05963 + 16.6487i 0.233408 + 0.641284i
\(675\) −23.1486 7.08993i −0.890988 0.272892i
\(676\) 13.3346 + 23.0962i 0.512869 + 0.888316i
\(677\) −21.0773 36.5070i −0.810068 1.40308i −0.912816 0.408371i \(-0.866097\pi\)
0.102748 0.994707i \(-0.467236\pi\)
\(678\) −39.1941 + 43.0090i −1.50524 + 1.65175i
\(679\) −3.15301 + 8.66282i −0.121001 + 0.332449i
\(680\) −0.938329 + 5.32153i −0.0359833 + 0.204071i
\(681\) −10.2774 13.3180i −0.393831 0.510347i
\(682\) 1.55473 1.30458i 0.0595338 0.0499548i
\(683\) 13.0918 0.500945 0.250472 0.968124i \(-0.419414\pi\)
0.250472 + 0.968124i \(0.419414\pi\)
\(684\) 3.12528 9.94582i 0.119498 0.380288i
\(685\) −9.10020 −0.347701
\(686\) −24.7282 + 20.7494i −0.944128 + 0.792217i
\(687\) 3.85967 0.518904i 0.147256 0.0197974i
\(688\) 0.523528 2.96907i 0.0199593 0.113195i
\(689\) 8.00391 21.9906i 0.304925 0.837773i
\(690\) −10.1732 2.22609i −0.387286 0.0847459i
\(691\) 13.9770 + 24.2089i 0.531710 + 0.920949i 0.999315 + 0.0370110i \(0.0117836\pi\)
−0.467605 + 0.883938i \(0.654883\pi\)
\(692\) 3.12522 + 5.41305i 0.118803 + 0.205773i
\(693\) −2.95290 0.773899i −0.112171 0.0293980i
\(694\) 21.0353 + 57.7940i 0.798489 + 2.19383i
\(695\) 3.28401i 0.124570i
\(696\) 0.216587 5.29365i 0.00820970 0.200655i
\(697\) −8.11451 22.2944i −0.307359 0.844462i
\(698\) −32.7152 11.9073i −1.23829 0.450700i
\(699\) −47.6870 + 15.1795i −1.80369 + 0.574141i
\(700\) −8.77955 3.19550i −0.331836 0.120778i
\(701\) 5.74896 15.7951i 0.217135 0.596574i −0.782526 0.622618i \(-0.786069\pi\)
0.999661 + 0.0260446i \(0.00829119\pi\)
\(702\) −58.7858 7.24794i −2.21873 0.273556i
\(703\) −18.4972 24.3325i −0.697635 0.917718i
\(704\) −0.972347 0.561385i −0.0366467 0.0211580i
\(705\) −2.73966 3.55021i −0.103182 0.133708i
\(706\) 0.572034 + 0.681723i 0.0215288 + 0.0256570i
\(707\) −22.0151 3.88185i −0.827962 0.145992i
\(708\) −3.97802 + 9.67877i −0.149503 + 0.363750i
\(709\) 25.8623 + 21.7010i 0.971278 + 0.814999i 0.982751 0.184935i \(-0.0592075\pi\)
−0.0114728 + 0.999934i \(0.503652\pi\)
\(710\) 5.63946 + 3.25595i 0.211645 + 0.122193i
\(711\) 3.74460 1.77120i 0.140433 0.0664250i
\(712\) −16.7257 + 6.08767i −0.626824 + 0.228145i
\(713\) −3.20762 + 18.1913i −0.120126 + 0.681270i
\(714\) 15.5630 + 29.6972i 0.582432 + 1.11139i
\(715\) 1.60958i 0.0601948i
\(716\) −0.284501 + 0.103550i −0.0106323 + 0.00386984i
\(717\) −13.8568 + 10.6932i −0.517492 + 0.399345i
\(718\) 15.5014 + 42.5898i 0.578508 + 1.58944i
\(719\) 21.8362 3.85031i 0.814352 0.143592i 0.249065 0.968487i \(-0.419877\pi\)
0.565287 + 0.824895i \(0.308766\pi\)
\(720\) 8.64723 0.804335i 0.322263 0.0299758i
\(721\) 0.697785i 0.0259869i
\(722\) −13.1693 28.9201i −0.490112 1.07630i
\(723\) 5.35250 + 10.2136i 0.199061 + 0.379847i
\(724\) −9.99023 + 1.76155i −0.371284 + 0.0654674i
\(725\) 5.42726 4.55401i 0.201563 0.169132i
\(726\) −9.52157 29.9124i −0.353379 1.11015i
\(727\) −1.60278 9.08980i −0.0594437 0.337122i 0.940553 0.339647i \(-0.110307\pi\)
−0.999997 + 0.00252468i \(0.999196\pi\)
\(728\) 33.9610 + 5.98823i 1.25868 + 0.221939i
\(729\) 18.7753 19.4033i 0.695380 0.718642i
\(730\) 11.4263 6.59699i 0.422907 0.244166i
\(731\) −2.75509 0.485797i −0.101901 0.0179678i
\(732\) 15.4393 + 3.37843i 0.570653 + 0.124870i
\(733\) −3.07982 + 5.33441i −0.113756 + 0.197031i −0.917282 0.398239i \(-0.869621\pi\)
0.803526 + 0.595270i \(0.202955\pi\)
\(734\) −38.6411 −1.42627
\(735\) 0.648848 0.206538i 0.0239331 0.00761828i
\(736\) −25.8985 + 4.56661i −0.954633 + 0.168328i
\(737\) 0.742901 + 0.623368i 0.0273651 + 0.0229621i
\(738\) −21.1098 + 14.9544i −0.777064 + 0.550480i
\(739\) 41.0076 + 14.9256i 1.50849 + 0.549045i 0.958243 0.285956i \(-0.0923112\pi\)
0.550247 + 0.835002i \(0.314533\pi\)
\(740\) −1.63173 + 2.82625i −0.0599838 + 0.103895i
\(741\) −42.2027 + 29.4395i −1.55036 + 1.08149i
\(742\) 7.22217 + 12.5092i 0.265134 + 0.459226i
\(743\) 5.37307 + 30.4722i 0.197119 + 1.11792i 0.909369 + 0.415991i \(0.136565\pi\)
−0.712250 + 0.701926i \(0.752324\pi\)
\(744\) −1.39258 10.3582i −0.0510543 0.379748i
\(745\) −11.1231 + 4.04847i −0.407518 + 0.148324i
\(746\) 26.9485 + 32.1160i 0.986654 + 1.17585i
\(747\) 38.1900 + 10.0089i 1.39730 + 0.366205i
\(748\) 0.742042 1.28525i 0.0271317 0.0469935i
\(749\) −15.0441 −0.549699
\(750\) 12.0734 + 11.0025i 0.440857 + 0.401753i
\(751\) 28.3565 33.7940i 1.03474 1.23316i 0.0627816 0.998027i \(-0.480003\pi\)
0.971963 0.235133i \(-0.0755527\pi\)
\(752\) −19.0465 10.9965i −0.694555 0.401001i
\(753\) −16.2404 30.9897i −0.591832 1.12933i
\(754\) 11.1416 13.2781i 0.405754 0.483558i
\(755\) 0.398978 0.334782i 0.0145203 0.0121840i
\(756\) 7.62406 7.10240i 0.277285 0.258312i
\(757\) 2.66165 + 15.0949i 0.0967392 + 0.548635i 0.994201 + 0.107542i \(0.0342980\pi\)
−0.897461 + 0.441093i \(0.854591\pi\)
\(758\) 21.2029 + 25.2686i 0.770123 + 0.917797i
\(759\) −3.64552 2.30842i −0.132324 0.0837905i
\(760\) 3.47515 3.75829i 0.126057 0.136327i
\(761\) −23.7318 + 13.7015i −0.860276 + 0.496680i −0.864105 0.503312i \(-0.832115\pi\)
0.00382896 + 0.999993i \(0.498781\pi\)
\(762\) −5.81983 43.2886i −0.210830 1.56818i
\(763\) 7.98085 21.9272i 0.288926 0.793819i
\(764\) 10.0463 11.9727i 0.363463 0.433159i
\(765\) −0.746366 8.02402i −0.0269849 0.290109i
\(766\) −6.21020 + 35.2198i −0.224384 + 1.27254i
\(767\) 44.7296 25.8246i 1.61509 0.932473i
\(768\) 25.3096 13.2636i 0.913280 0.478610i
\(769\) 11.6063 + 9.73884i 0.418534 + 0.351191i 0.827605 0.561311i \(-0.189703\pi\)
−0.409071 + 0.912502i \(0.634147\pi\)
\(770\) 0.761051 + 0.638597i 0.0274264 + 0.0230135i
\(771\) −25.6846 + 13.4602i