Properties

Label 483.2.y.a.331.3
Level $483$
Weight $2$
Character 483.331
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 331.3
Character \(\chi\) \(=\) 483.331
Dual form 483.2.y.a.340.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.486251 + 2.00435i) q^{2} +(0.327068 - 0.945001i) q^{3} +(-2.00332 - 1.03278i) q^{4} +(-3.02667 - 1.21170i) q^{5} +(1.73508 + 1.11507i) q^{6} +(1.86249 - 1.87913i) q^{7} +(0.342886 - 0.395711i) q^{8} +(-0.786053 - 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.486251 + 2.00435i) q^{2} +(0.327068 - 0.945001i) q^{3} +(-2.00332 - 1.03278i) q^{4} +(-3.02667 - 1.21170i) q^{5} +(1.73508 + 1.11507i) q^{6} +(1.86249 - 1.87913i) q^{7} +(0.342886 - 0.395711i) q^{8} +(-0.786053 - 0.618159i) q^{9} +(3.90039 - 5.47733i) q^{10} +(0.776339 + 3.20011i) q^{11} +(-1.63120 + 1.55535i) q^{12} +(2.65776 + 5.81968i) q^{13} +(2.86081 + 4.64681i) q^{14} +(-2.13498 + 2.46390i) q^{15} +(-1.98833 - 2.79222i) q^{16} +(-0.326051 + 6.84466i) q^{17} +(1.62123 - 1.27495i) q^{18} +(0.248254 + 5.21148i) q^{19} +(4.81197 + 5.55331i) q^{20} +(-1.16662 - 2.37466i) q^{21} -6.79165 q^{22} +(0.225596 - 4.79052i) q^{23} +(-0.261800 - 0.453452i) q^{24} +(4.07387 + 3.88443i) q^{25} +(-12.9570 + 2.49726i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(-5.67189 + 1.84095i) q^{28} +(1.05851 + 0.680262i) q^{29} +(-3.90039 - 5.47733i) q^{30} +(3.11311 + 0.600004i) q^{31} +(7.53560 - 3.01680i) q^{32} +(3.27803 + 0.313014i) q^{33} +(-13.5606 - 3.98174i) q^{34} +(-7.91408 + 3.43074i) q^{35} +(0.936291 + 2.05019i) q^{36} +(4.37576 + 3.44114i) q^{37} +(-10.5664 - 2.03650i) q^{38} +(6.36887 - 0.608153i) q^{39} +(-1.51728 + 0.782215i) q^{40} +(0.196975 + 1.36999i) q^{41} +(5.32692 - 1.18364i) q^{42} +(-2.12285 - 2.44990i) q^{43} +(1.74977 - 7.21264i) q^{44} +(1.63010 + 2.82342i) q^{45} +(9.49220 + 2.78157i) q^{46} +(-1.95592 + 3.38776i) q^{47} +(-3.28896 + 0.965727i) q^{48} +(-0.0622697 - 6.99972i) q^{49} +(-9.76668 + 6.27667i) q^{50} +(6.36157 + 2.54679i) q^{51} +(0.686126 - 14.4036i) q^{52} +(5.84041 - 0.557692i) q^{53} +(-0.674575 - 1.94906i) q^{54} +(1.52784 - 10.6264i) q^{55} +(-0.104972 - 1.38133i) q^{56} +(5.00605 + 1.46991i) q^{57} +(-1.87819 + 1.79085i) q^{58} +(-0.320411 + 0.449955i) q^{59} +(6.82172 - 2.73101i) q^{60} +(1.97974 + 5.72008i) q^{61} +(-2.71637 + 5.94803i) q^{62} +(-2.62562 + 0.325783i) q^{63} +(1.40688 + 9.78506i) q^{64} +(-0.992478 - 20.8347i) q^{65} +(-2.22133 + 6.41812i) q^{66} +(-6.34734 - 6.05218i) q^{67} +(7.72223 - 13.3753i) q^{68} +(-4.45326 - 1.78001i) q^{69} +(-3.02819 - 17.5308i) q^{70} +(-3.17814 + 0.933185i) q^{71} +(-0.514139 + 0.0990921i) q^{72} +(-8.52105 - 4.39291i) q^{73} +(-9.02497 + 7.09731i) q^{74} +(5.00322 - 2.57934i) q^{75} +(4.88500 - 10.6967i) q^{76} +(7.45936 + 4.50133i) q^{77} +(-1.87791 + 13.0612i) q^{78} +(-16.5083 - 1.57635i) q^{79} +(2.63470 + 10.8604i) q^{80} +(0.235759 + 0.971812i) q^{81} +(-2.84172 - 0.271351i) q^{82} +(-0.164893 + 1.14686i) q^{83} +(-0.115392 + 5.96206i) q^{84} +(9.28051 - 20.3215i) q^{85} +(5.94269 - 3.06367i) q^{86} +(0.989053 - 0.777800i) q^{87} +(1.53252 + 0.790067i) q^{88} +(-7.84735 + 1.51245i) q^{89} +(-6.45178 + 1.89441i) q^{90} +(15.8860 + 5.84481i) q^{91} +(-5.39951 + 9.36395i) q^{92} +(1.58520 - 2.74565i) q^{93} +(-5.83919 - 5.56766i) q^{94} +(5.56336 - 16.0743i) q^{95} +(-0.386224 - 8.10784i) q^{96} +(2.47214 + 17.1941i) q^{97} +(14.0602 + 3.27881i) q^{98} +(1.36794 - 2.99536i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.486251 + 2.00435i −0.343831 + 1.41729i 0.493095 + 0.869975i \(0.335865\pi\)
−0.836926 + 0.547316i \(0.815650\pi\)
\(3\) 0.327068 0.945001i 0.188833 0.545596i
\(4\) −2.00332 1.03278i −1.00166 0.516391i
\(5\) −3.02667 1.21170i −1.35357 0.541887i −0.422379 0.906420i \(-0.638805\pi\)
−0.931191 + 0.364532i \(0.881229\pi\)
\(6\) 1.73508 + 1.11507i 0.708342 + 0.455224i
\(7\) 1.86249 1.87913i 0.703955 0.710245i
\(8\) 0.342886 0.395711i 0.121228 0.139905i
\(9\) −0.786053 0.618159i −0.262018 0.206053i
\(10\) 3.90039 5.47733i 1.23341 1.73208i
\(11\) 0.776339 + 3.20011i 0.234075 + 0.964871i 0.960645 + 0.277778i \(0.0895981\pi\)
−0.726570 + 0.687092i \(0.758887\pi\)
\(12\) −1.63120 + 1.55535i −0.470887 + 0.448990i
\(13\) 2.65776 + 5.81968i 0.737130 + 1.61409i 0.788219 + 0.615395i \(0.211003\pi\)
−0.0510893 + 0.998694i \(0.516269\pi\)
\(14\) 2.86081 + 4.64681i 0.764582 + 1.24191i
\(15\) −2.13498 + 2.46390i −0.551250 + 0.636177i
\(16\) −1.98833 2.79222i −0.497082 0.698054i
\(17\) −0.326051 + 6.84466i −0.0790791 + 1.66007i 0.516135 + 0.856507i \(0.327370\pi\)
−0.595214 + 0.803567i \(0.702933\pi\)
\(18\) 1.62123 1.27495i 0.382127 0.300508i
\(19\) 0.248254 + 5.21148i 0.0569533 + 1.19560i 0.828710 + 0.559678i \(0.189075\pi\)
−0.771757 + 0.635918i \(0.780622\pi\)
\(20\) 4.81197 + 5.55331i 1.07599 + 1.24176i
\(21\) −1.16662 2.37466i −0.254577 0.518193i
\(22\) −6.79165 −1.44799
\(23\) 0.225596 4.79052i 0.0470399 0.998893i
\(24\) −0.261800 0.453452i −0.0534398 0.0925604i
\(25\) 4.07387 + 3.88443i 0.814774 + 0.776886i
\(26\) −12.9570 + 2.49726i −2.54108 + 0.489753i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) −5.67189 + 1.84095i −1.07189 + 0.347907i
\(29\) 1.05851 + 0.680262i 0.196560 + 0.126322i 0.635219 0.772332i \(-0.280910\pi\)
−0.438659 + 0.898654i \(0.644546\pi\)
\(30\) −3.90039 5.47733i −0.712111 1.00002i
\(31\) 3.11311 + 0.600004i 0.559132 + 0.107764i 0.460985 0.887408i \(-0.347496\pi\)
0.0981471 + 0.995172i \(0.468708\pi\)
\(32\) 7.53560 3.01680i 1.33212 0.533300i
\(33\) 3.27803 + 0.313014i 0.570631 + 0.0544887i
\(34\) −13.5606 3.98174i −2.32562 0.682863i
\(35\) −7.91408 + 3.43074i −1.33772 + 0.579902i
\(36\) 0.936291 + 2.05019i 0.156048 + 0.341698i
\(37\) 4.37576 + 3.44114i 0.719371 + 0.565719i 0.909332 0.416072i \(-0.136594\pi\)
−0.189961 + 0.981792i \(0.560836\pi\)
\(38\) −10.5664 2.03650i −1.71409 0.330364i
\(39\) 6.36887 0.608153i 1.01984 0.0973825i
\(40\) −1.51728 + 0.782215i −0.239904 + 0.123679i
\(41\) 0.196975 + 1.36999i 0.0307623 + 0.213956i 0.999405 0.0345031i \(-0.0109849\pi\)
−0.968642 + 0.248459i \(0.920076\pi\)
\(42\) 5.32692 1.18364i 0.821962 0.182640i
\(43\) −2.12285 2.44990i −0.323731 0.373606i 0.570434 0.821344i \(-0.306775\pi\)
−0.894165 + 0.447738i \(0.852230\pi\)
\(44\) 1.74977 7.21264i 0.263787 1.08735i
\(45\) 1.63010 + 2.82342i 0.243002 + 0.420891i
\(46\) 9.49220 + 2.78157i 1.39955 + 0.410120i
\(47\) −1.95592 + 3.38776i −0.285301 + 0.494155i −0.972682 0.232141i \(-0.925427\pi\)
0.687381 + 0.726297i \(0.258760\pi\)
\(48\) −3.28896 + 0.965727i −0.474721 + 0.139391i
\(49\) −0.0622697 6.99972i −0.00889567 0.999960i
\(50\) −9.76668 + 6.27667i −1.38122 + 0.887655i
\(51\) 6.36157 + 2.54679i 0.890798 + 0.356622i
\(52\) 0.686126 14.4036i 0.0951485 1.99741i
\(53\) 5.84041 0.557692i 0.802242 0.0766048i 0.314123 0.949382i \(-0.398289\pi\)
0.488119 + 0.872777i \(0.337683\pi\)
\(54\) −0.674575 1.94906i −0.0917980 0.265233i
\(55\) 1.52784 10.6264i 0.206014 1.43286i
\(56\) −0.104972 1.38133i −0.0140275 0.184589i
\(57\) 5.00605 + 1.46991i 0.663068 + 0.194694i
\(58\) −1.87819 + 1.79085i −0.246618 + 0.235150i
\(59\) −0.320411 + 0.449955i −0.0417140 + 0.0585791i −0.834906 0.550392i \(-0.814478\pi\)
0.793192 + 0.608971i \(0.208418\pi\)
\(60\) 6.82172 2.73101i 0.880681 0.352571i
\(61\) 1.97974 + 5.72008i 0.253479 + 0.732381i 0.997906 + 0.0646766i \(0.0206016\pi\)
−0.744427 + 0.667704i \(0.767277\pi\)
\(62\) −2.71637 + 5.94803i −0.344980 + 0.755400i
\(63\) −2.62562 + 0.325783i −0.330797 + 0.0410448i
\(64\) 1.40688 + 9.78506i 0.175860 + 1.22313i
\(65\) −0.992478 20.8347i −0.123102 2.58422i
\(66\) −2.22133 + 6.41812i −0.273427 + 0.790016i
\(67\) −6.34734 6.05218i −0.775451 0.739391i 0.194970 0.980809i \(-0.437539\pi\)
−0.970421 + 0.241418i \(0.922387\pi\)
\(68\) 7.72223 13.3753i 0.936458 1.62199i
\(69\) −4.45326 1.78001i −0.536110 0.214289i
\(70\) −3.02819 17.5308i −0.361938 2.09533i
\(71\) −3.17814 + 0.933185i −0.377175 + 0.110749i −0.464825 0.885403i \(-0.653883\pi\)
0.0876493 + 0.996151i \(0.472065\pi\)
\(72\) −0.514139 + 0.0990921i −0.0605918 + 0.0116781i
\(73\) −8.52105 4.39291i −0.997314 0.514151i −0.119337 0.992854i \(-0.538077\pi\)
−0.877977 + 0.478703i \(0.841107\pi\)
\(74\) −9.02497 + 7.09731i −1.04913 + 0.825046i
\(75\) 5.00322 2.57934i 0.577722 0.297836i
\(76\) 4.88500 10.6967i 0.560348 1.22699i
\(77\) 7.45936 + 4.50133i 0.850073 + 0.512975i
\(78\) −1.87791 + 13.0612i −0.212632 + 1.47889i
\(79\) −16.5083 1.57635i −1.85733 0.177353i −0.894427 0.447214i \(-0.852416\pi\)
−0.962899 + 0.269861i \(0.913022\pi\)
\(80\) 2.63470 + 10.8604i 0.294568 + 1.21423i
\(81\) 0.235759 + 0.971812i 0.0261954 + 0.107979i
\(82\) −2.84172 0.271351i −0.313815 0.0299657i
\(83\) −0.164893 + 1.14686i −0.0180994 + 0.125884i −0.996868 0.0790847i \(-0.974800\pi\)
0.978768 + 0.204969i \(0.0657093\pi\)
\(84\) −0.115392 + 5.96206i −0.0125903 + 0.650514i
\(85\) 9.28051 20.3215i 1.00661 2.20417i
\(86\) 5.94269 3.06367i 0.640817 0.330364i
\(87\) 0.989053 0.777800i 0.106038 0.0833889i
\(88\) 1.53252 + 0.790067i 0.163367 + 0.0842214i
\(89\) −7.84735 + 1.51245i −0.831817 + 0.160320i −0.587345 0.809337i \(-0.699827\pi\)
−0.244472 + 0.969656i \(0.578615\pi\)
\(90\) −6.45178 + 1.89441i −0.680077 + 0.199689i
\(91\) 15.8860 + 5.84481i 1.66530 + 0.612703i
\(92\) −5.39951 + 9.36395i −0.562937 + 0.976259i
\(93\) 1.58520 2.74565i 0.164378 0.284711i
\(94\) −5.83919 5.56766i −0.602267 0.574260i
\(95\) 5.56336 16.0743i 0.570788 1.64918i
\(96\) −0.386224 8.10784i −0.0394188 0.827503i
\(97\) 2.47214 + 17.1941i 0.251008 + 1.74580i 0.592190 + 0.805799i \(0.298264\pi\)
−0.341182 + 0.939997i \(0.610827\pi\)
\(98\) 14.0602 + 3.27881i 1.42029 + 0.331210i
\(99\) 1.36794 2.99536i 0.137483 0.301045i
\(100\) −4.14949 11.9892i −0.414949 1.19892i
\(101\) 9.84828 3.94266i 0.979941 0.392309i 0.174286 0.984695i \(-0.444238\pi\)
0.805654 + 0.592386i \(0.201814\pi\)
\(102\) −8.19798 + 11.5124i −0.811721 + 1.13990i
\(103\) 5.00240 4.76978i 0.492901 0.469981i −0.402386 0.915470i \(-0.631819\pi\)
0.895287 + 0.445490i \(0.146970\pi\)
\(104\) 3.21422 + 0.943780i 0.315180 + 0.0925452i
\(105\) 0.653613 + 8.60090i 0.0637861 + 0.839362i
\(106\) −1.72209 + 11.9774i −0.167264 + 1.16335i
\(107\) 1.45126 + 4.19314i 0.140298 + 0.405366i 0.993159 0.116774i \(-0.0372553\pi\)
−0.852860 + 0.522139i \(0.825134\pi\)
\(108\) 2.24366 0.214244i 0.215897 0.0206156i
\(109\) −0.725067 + 15.2210i −0.0694488 + 1.45791i 0.648182 + 0.761486i \(0.275530\pi\)
−0.717631 + 0.696424i \(0.754773\pi\)
\(110\) 20.5561 + 8.22943i 1.95995 + 0.784645i
\(111\) 4.68305 3.00961i 0.444495 0.285660i
\(112\) −8.95018 1.46414i −0.845712 0.138348i
\(113\) 2.76329 0.811375i 0.259948 0.0763277i −0.149162 0.988813i \(-0.547657\pi\)
0.409110 + 0.912485i \(0.365839\pi\)
\(114\) −5.38041 + 9.31915i −0.503922 + 0.872818i
\(115\) −6.48747 + 14.2260i −0.604959 + 1.32658i
\(116\) −1.41797 2.45599i −0.131655 0.228033i
\(117\) 1.50835 6.21750i 0.139447 0.574808i
\(118\) −0.746068 0.861008i −0.0686811 0.0792622i
\(119\) 12.2548 + 13.3608i 1.12339 + 1.22478i
\(120\) 0.242938 + 1.68967i 0.0221771 + 0.154245i
\(121\) 0.139161 0.0717422i 0.0126510 0.00652202i
\(122\) −12.4277 + 1.18670i −1.12515 + 0.107439i
\(123\) 1.35906 + 0.261938i 0.122543 + 0.0236182i
\(124\) −5.61688 4.41717i −0.504411 0.396673i
\(125\) −0.851827 1.86524i −0.0761897 0.166832i
\(126\) 0.623725 5.42107i 0.0555658 0.482948i
\(127\) −1.64309 0.482454i −0.145800 0.0428109i 0.208018 0.978125i \(-0.433299\pi\)
−0.353818 + 0.935314i \(0.615117\pi\)
\(128\) −4.13625 0.394964i −0.365596 0.0349102i
\(129\) −3.00947 + 1.20481i −0.264969 + 0.106078i
\(130\) 42.2426 + 8.14160i 3.70492 + 0.714065i
\(131\) −3.80200 5.33916i −0.332182 0.466485i 0.614378 0.789012i \(-0.289407\pi\)
−0.946560 + 0.322527i \(0.895468\pi\)
\(132\) −6.24365 4.01255i −0.543440 0.349248i
\(133\) 10.2554 + 9.23983i 0.889259 + 0.801195i
\(134\) 15.2171 9.77943i 1.31456 0.844814i
\(135\) 3.20129 0.616999i 0.275523 0.0531028i
\(136\) 2.59671 + 2.47596i 0.222666 + 0.212312i
\(137\) −2.26999 3.93173i −0.193938 0.335910i 0.752614 0.658462i \(-0.228793\pi\)
−0.946552 + 0.322552i \(0.895459\pi\)
\(138\) 5.73318 8.06037i 0.488041 0.686145i
\(139\) 11.2938 0.957927 0.478964 0.877835i \(-0.341013\pi\)
0.478964 + 0.877835i \(0.341013\pi\)
\(140\) 19.3976 + 1.30065i 1.63940 + 0.109925i
\(141\) 2.56171 + 2.95638i 0.215735 + 0.248972i
\(142\) −0.325061 6.82387i −0.0272785 0.572646i
\(143\) −16.5603 + 13.0232i −1.38484 + 1.08905i
\(144\) −0.163102 + 3.42393i −0.0135918 + 0.285328i
\(145\) −2.37949 3.34152i −0.197606 0.277498i
\(146\) 12.9483 14.9431i 1.07161 1.23670i
\(147\) −6.63511 2.23054i −0.547255 0.183972i
\(148\) −5.21210 11.4129i −0.428432 0.938135i
\(149\) 1.56093 1.48834i 0.127876 0.121930i −0.623443 0.781869i \(-0.714267\pi\)
0.751319 + 0.659939i \(0.229418\pi\)
\(150\) 2.73709 + 11.2824i 0.223482 + 0.921206i
\(151\) 12.0369 16.9035i 0.979551 1.37559i 0.0533423 0.998576i \(-0.483013\pi\)
0.926209 0.377011i \(-0.123048\pi\)
\(152\) 2.14736 + 1.68871i 0.174174 + 0.136972i
\(153\) 4.48738 5.17872i 0.362783 0.418674i
\(154\) −12.6494 + 12.7624i −1.01932 + 1.02842i
\(155\) −8.69536 5.58817i −0.698428 0.448852i
\(156\) −13.3870 5.35933i −1.07181 0.429090i
\(157\) −19.7946 10.2048i −1.57978 0.814434i −0.579782 0.814771i \(-0.696862\pi\)
−1.00000 0.000336868i \(0.999893\pi\)
\(158\) 11.1867 32.3219i 0.889967 2.57139i
\(159\) 1.38319 5.70160i 0.109694 0.452166i
\(160\) −26.4632 −2.09210
\(161\) −8.58185 9.34622i −0.676345 0.736585i
\(162\) −2.06249 −0.162045
\(163\) 0.588292 2.42497i 0.0460785 0.189938i −0.944121 0.329600i \(-0.893086\pi\)
0.990199 + 0.139661i \(0.0446014\pi\)
\(164\) 1.02030 2.94795i 0.0796718 0.230197i
\(165\) −9.54224 4.91937i −0.742862 0.382972i
\(166\) −2.21853 0.888166i −0.172191 0.0689350i
\(167\) 21.0455 + 13.5251i 1.62855 + 1.04661i 0.950094 + 0.311965i \(0.100987\pi\)
0.678456 + 0.734641i \(0.262649\pi\)
\(168\) −1.33970 0.352591i −0.103360 0.0272030i
\(169\) −18.2918 + 21.1099i −1.40706 + 1.62384i
\(170\) 36.2187 + 28.4827i 2.77785 + 2.18453i
\(171\) 3.02638 4.24996i 0.231433 0.325003i
\(172\) 1.72253 + 7.10036i 0.131342 + 0.541397i
\(173\) 6.85698 6.53812i 0.521327 0.497084i −0.383104 0.923705i \(-0.625145\pi\)
0.904430 + 0.426621i \(0.140296\pi\)
\(174\) 1.07806 + 2.36062i 0.0817273 + 0.178958i
\(175\) 14.8869 0.420634i 1.12534 0.0317970i
\(176\) 7.39179 8.53058i 0.557177 0.643017i
\(177\) 0.320411 + 0.449955i 0.0240836 + 0.0338207i
\(178\) 0.784290 16.4643i 0.0587850 1.23405i
\(179\) 7.89139 6.20586i 0.589830 0.463848i −0.278087 0.960556i \(-0.589700\pi\)
0.867918 + 0.496708i \(0.165458\pi\)
\(180\) −0.349636 7.33976i −0.0260603 0.547073i
\(181\) 11.8465 + 13.6716i 0.880543 + 1.01620i 0.999728 + 0.0233290i \(0.00742652\pi\)
−0.119185 + 0.992872i \(0.538028\pi\)
\(182\) −19.4396 + 28.9991i −1.44096 + 2.14955i
\(183\) 6.05298 0.447449
\(184\) −1.81831 1.73187i −0.134048 0.127675i
\(185\) −9.07438 15.7173i −0.667162 1.15556i
\(186\) 4.73245 + 4.51238i 0.347000 + 0.330864i
\(187\) −22.1568 + 4.27038i −1.62027 + 0.312281i
\(188\) 7.41715 4.76671i 0.540951 0.347648i
\(189\) −0.550890 + 2.58776i −0.0400714 + 0.188232i
\(190\) 29.5133 + 18.9671i 2.14112 + 1.37601i
\(191\) 7.07599 + 9.93684i 0.512001 + 0.719005i 0.986953 0.161007i \(-0.0514741\pi\)
−0.474952 + 0.880012i \(0.657535\pi\)
\(192\) 9.70704 + 1.87088i 0.700545 + 0.135019i
\(193\) 7.89754 3.16170i 0.568477 0.227584i −0.0695755 0.997577i \(-0.522164\pi\)
0.638053 + 0.769993i \(0.279740\pi\)
\(194\) −35.6651 3.40560i −2.56061 0.244508i
\(195\) −20.0134 5.87646i −1.43319 0.420822i
\(196\) −7.10444 + 14.0870i −0.507460 + 1.00621i
\(197\) −9.49871 20.7993i −0.676755 1.48189i −0.866045 0.499966i \(-0.833346\pi\)
0.189290 0.981921i \(-0.439382\pi\)
\(198\) 5.33860 + 4.19832i 0.379398 + 0.298362i
\(199\) −9.48572 1.82822i −0.672425 0.129599i −0.158400 0.987375i \(-0.550634\pi\)
−0.514024 + 0.857776i \(0.671846\pi\)
\(200\) 2.93398 0.280161i 0.207464 0.0198104i
\(201\) −7.79532 + 4.01877i −0.549840 + 0.283462i
\(202\) 3.11374 + 21.6565i 0.219082 + 1.52375i
\(203\) 3.24976 0.722096i 0.228089 0.0506812i
\(204\) −10.1140 11.6721i −0.708119 0.817213i
\(205\) 1.06383 4.38518i 0.0743013 0.306274i
\(206\) 7.12790 + 12.3459i 0.496625 + 0.860179i
\(207\) −3.13863 + 3.62615i −0.218150 + 0.252035i
\(208\) 10.9653 18.9925i 0.760307 1.31689i
\(209\) −16.4846 + 4.84032i −1.14026 + 0.334812i
\(210\) −17.5571 2.87212i −1.21155 0.198195i
\(211\) −4.79630 + 3.08240i −0.330191 + 0.212201i −0.695223 0.718794i \(-0.744694\pi\)
0.365032 + 0.930995i \(0.381058\pi\)
\(212\) −12.2762 4.91464i −0.843131 0.337539i
\(213\) −0.157606 + 3.30856i −0.0107990 + 0.226699i
\(214\) −9.11020 + 0.869918i −0.622760 + 0.0594664i
\(215\) 3.45663 + 9.98728i 0.235740 + 0.681127i
\(216\) −0.0745162 + 0.518271i −0.00507018 + 0.0352639i
\(217\) 6.92563 4.73245i 0.470142 0.321260i
\(218\) −30.1557 8.85452i −2.04240 0.599704i
\(219\) −6.93827 + 6.61562i −0.468845 + 0.447042i
\(220\) −14.0355 + 19.7101i −0.946273 + 1.32886i
\(221\) −40.7003 + 16.2939i −2.73780 + 1.09605i
\(222\) 3.75519 + 10.8499i 0.252032 + 0.728198i
\(223\) 4.20972 9.21799i 0.281903 0.617283i −0.714718 0.699413i \(-0.753445\pi\)
0.996622 + 0.0821301i \(0.0261723\pi\)
\(224\) 8.36601 19.7791i 0.558977 1.32155i
\(225\) −0.801085 5.57167i −0.0534056 0.371444i
\(226\) 0.282630 + 5.93313i 0.0188003 + 0.394666i
\(227\) 8.79726 25.4180i 0.583894 1.68705i −0.134070 0.990972i \(-0.542805\pi\)
0.717964 0.696080i \(-0.245074\pi\)
\(228\) −8.51062 8.11486i −0.563629 0.537420i
\(229\) −0.960779 + 1.66412i −0.0634901 + 0.109968i −0.896023 0.444007i \(-0.853556\pi\)
0.832533 + 0.553975i \(0.186890\pi\)
\(230\) −25.3594 19.9206i −1.67215 1.31352i
\(231\) 6.69348 5.57686i 0.440399 0.366930i
\(232\) 0.632135 0.185612i 0.0415017 0.0121860i
\(233\) −8.57922 + 1.65351i −0.562043 + 0.108325i −0.462357 0.886694i \(-0.652996\pi\)
−0.0996865 + 0.995019i \(0.531784\pi\)
\(234\) 11.7286 + 6.04652i 0.766724 + 0.395274i
\(235\) 10.0249 7.88365i 0.653951 0.514272i
\(236\) 1.10659 0.570487i 0.0720329 0.0371356i
\(237\) −6.88898 + 15.0848i −0.447487 + 0.979860i
\(238\) −32.7386 + 18.0661i −2.12213 + 1.17105i
\(239\) 1.15849 8.05746i 0.0749363 0.521194i −0.917433 0.397891i \(-0.869742\pi\)
0.992369 0.123303i \(-0.0393486\pi\)
\(240\) 11.1248 + 1.06229i 0.718102 + 0.0685704i
\(241\) 2.85941 + 11.7867i 0.184191 + 0.759246i 0.986693 + 0.162596i \(0.0519867\pi\)
−0.802502 + 0.596650i \(0.796498\pi\)
\(242\) 0.0761298 + 0.313811i 0.00489381 + 0.0201726i
\(243\) 0.995472 + 0.0950560i 0.0638596 + 0.00609785i
\(244\) 1.94155 13.5038i 0.124295 0.864490i
\(245\) −8.29307 + 21.2613i −0.529825 + 1.35834i
\(246\) −1.18586 + 2.59668i −0.0756078 + 0.165558i
\(247\) −29.6694 + 15.2956i −1.88782 + 0.973237i
\(248\) 1.30487 1.02616i 0.0828593 0.0651613i
\(249\) 1.02985 + 0.530925i 0.0652642 + 0.0336460i
\(250\) 4.15280 0.800387i 0.262646 0.0506209i
\(251\) 12.0684 3.54361i 0.761752 0.223670i 0.122291 0.992494i \(-0.460976\pi\)
0.639461 + 0.768824i \(0.279158\pi\)
\(252\) 5.59641 + 2.05904i 0.352541 + 0.129708i
\(253\) 15.5054 2.99714i 0.974814 0.188429i
\(254\) 1.76596 3.05873i 0.110806 0.191922i
\(255\) −16.1685 15.4166i −1.01251 0.965424i
\(256\) −3.66368 + 10.5855i −0.228980 + 0.661595i
\(257\) −0.922750 19.3709i −0.0575596 1.20832i −0.824219 0.566271i \(-0.808386\pi\)
0.766660 0.642054i \(-0.221917\pi\)
\(258\) −0.951507 6.61788i −0.0592382 0.412011i
\(259\) 14.6162 1.81355i 0.908204 0.112689i
\(260\) −19.5294 + 42.7635i −1.21116 + 2.65208i
\(261\) −0.411534 1.18905i −0.0254733 0.0736003i
\(262\) 12.5503 5.02438i 0.775359 0.310407i
\(263\) −10.0420 + 14.1020i −0.619217 + 0.869569i −0.998446 0.0557341i \(-0.982250\pi\)
0.379228 + 0.925303i \(0.376189\pi\)
\(264\) 1.24785 1.18982i 0.0767999 0.0732286i
\(265\) −18.3528 5.38886i −1.12740 0.331035i
\(266\) −23.5066 + 16.0626i −1.44128 + 0.984863i
\(267\) −1.13735 + 7.91042i −0.0696045 + 0.484110i
\(268\) 6.46516 + 18.6798i 0.394922 + 1.14105i
\(269\) −5.32906 + 0.508864i −0.324919 + 0.0310260i −0.256241 0.966613i \(-0.582484\pi\)
−0.0686776 + 0.997639i \(0.521878\pi\)
\(270\) −0.319948 + 6.71653i −0.0194714 + 0.408755i
\(271\) 20.3578 + 8.15002i 1.23665 + 0.495079i 0.895555 0.444951i \(-0.146779\pi\)
0.341092 + 0.940030i \(0.389203\pi\)
\(272\) 19.7601 12.6990i 1.19813 0.769991i
\(273\) 10.7192 13.1006i 0.648753 0.792886i
\(274\) 8.98436 2.63804i 0.542765 0.159370i
\(275\) −9.26791 + 16.0525i −0.558876 + 0.968001i
\(276\) 7.08293 + 8.16519i 0.426343 + 0.491486i
\(277\) 6.56027 + 11.3627i 0.394168 + 0.682720i 0.992995 0.118159i \(-0.0376993\pi\)
−0.598826 + 0.800879i \(0.704366\pi\)
\(278\) −5.49161 + 22.6367i −0.329365 + 1.35766i
\(279\) −2.07618 2.39603i −0.124297 0.143447i
\(280\) −1.35604 + 4.30804i −0.0810390 + 0.257455i
\(281\) −1.96564 13.6713i −0.117260 0.815562i −0.960551 0.278104i \(-0.910294\pi\)
0.843291 0.537458i \(-0.180615\pi\)
\(282\) −7.17125 + 3.69704i −0.427042 + 0.220155i
\(283\) 11.1121 1.06108i 0.660546 0.0630745i 0.240601 0.970624i \(-0.422655\pi\)
0.419945 + 0.907550i \(0.362049\pi\)
\(284\) 7.33060 + 1.41286i 0.434991 + 0.0838376i
\(285\) −13.3706 10.5148i −0.792006 0.622840i
\(286\) −18.0506 39.5252i −1.06735 2.33718i
\(287\) 2.94125 + 2.18145i 0.173617 + 0.128767i
\(288\) −7.78824 2.28683i −0.458926 0.134753i
\(289\) −29.8201 2.84747i −1.75412 0.167498i
\(290\) 7.85462 3.14451i 0.461239 0.184652i
\(291\) 17.0570 + 3.28747i 0.999899 + 0.192715i
\(292\) 12.5335 + 17.6008i 0.733465 + 1.03001i
\(293\) −12.2657 7.88266i −0.716568 0.460510i 0.130874 0.991399i \(-0.458222\pi\)
−0.847441 + 0.530889i \(0.821858\pi\)
\(294\) 7.69712 12.2145i 0.448905 0.712364i
\(295\) 1.51499 0.973625i 0.0882061 0.0566866i
\(296\) 2.86208 0.551621i 0.166355 0.0320623i
\(297\) −2.38321 2.27239i −0.138288 0.131857i
\(298\) 2.22416 + 3.85236i 0.128842 + 0.223161i
\(299\) 28.4789 11.4192i 1.64698 0.660387i
\(300\) −12.6869 −0.732481
\(301\) −8.55746 0.573796i −0.493244 0.0330730i
\(302\) 28.0276 + 32.3456i 1.61281 + 1.86128i
\(303\) −0.504757 10.5962i −0.0289975 0.608733i
\(304\) 14.0580 11.0553i 0.806280 0.634066i
\(305\) 0.938981 19.7116i 0.0537659 1.12869i
\(306\) 8.19798 + 11.5124i 0.468647 + 0.658123i
\(307\) 11.4914 13.2618i 0.655850 0.756891i −0.326243 0.945286i \(-0.605783\pi\)
0.982093 + 0.188394i \(0.0603283\pi\)
\(308\) −10.2946 16.7215i −0.586588 0.952796i
\(309\) −2.87132 6.28732i −0.163344 0.357673i
\(310\) 15.4288 14.7113i 0.876296 0.835546i
\(311\) 3.41909 + 14.0937i 0.193879 + 0.799179i 0.982798 + 0.184682i \(0.0591256\pi\)
−0.788920 + 0.614496i \(0.789359\pi\)
\(312\) 1.94314 2.72876i 0.110009 0.154486i
\(313\) −25.5232 20.0717i −1.44266 1.13452i −0.966966 0.254904i \(-0.917956\pi\)
−0.475690 0.879613i \(-0.657801\pi\)
\(314\) 30.0792 34.7133i 1.69747 1.95898i
\(315\) 8.34164 + 2.19541i 0.469998 + 0.123698i
\(316\) 31.4433 + 20.2074i 1.76882 + 1.13675i
\(317\) −7.66553 3.06882i −0.430539 0.172362i 0.146263 0.989246i \(-0.453275\pi\)
−0.576802 + 0.816884i \(0.695700\pi\)
\(318\) 10.7554 + 5.54481i 0.603134 + 0.310937i
\(319\) −1.35515 + 3.91546i −0.0758741 + 0.219224i
\(320\) 7.59837 31.3209i 0.424762 1.75089i
\(321\) 4.43718 0.247659
\(322\) 22.9060 12.6565i 1.27650 0.705316i
\(323\) −35.7518 −1.98928
\(324\) 0.531370 2.19034i 0.0295205 0.121685i
\(325\) −11.7788 + 34.0325i −0.653368 + 1.88778i
\(326\) 4.57444 + 2.35829i 0.253355 + 0.130613i
\(327\) 14.1467 + 5.66350i 0.782316 + 0.313192i
\(328\) 0.609659 + 0.391804i 0.0336628 + 0.0216338i
\(329\) 2.72316 + 9.98510i 0.150132 + 0.550496i
\(330\) 14.5001 16.7340i 0.798202 0.921174i
\(331\) 17.9871 + 14.1452i 0.988660 + 0.777491i 0.974952 0.222415i \(-0.0713941\pi\)
0.0137078 + 0.999906i \(0.495637\pi\)
\(332\) 1.51479 2.12722i 0.0831349 0.116747i
\(333\) −1.31241 5.40983i −0.0719197 0.296457i
\(334\) −37.3425 + 35.6060i −2.04329 + 1.94827i
\(335\) 11.8779 + 26.0090i 0.648960 + 1.42102i
\(336\) −4.31093 + 7.97905i −0.235181 + 0.435293i
\(337\) 14.5999 16.8492i 0.795306 0.917832i −0.202808 0.979219i \(-0.565007\pi\)
0.998114 + 0.0613864i \(0.0195522\pi\)
\(338\) −33.4172 46.9279i −1.81766 2.55254i
\(339\) 0.137033 2.87668i 0.00744263 0.156240i
\(340\) −39.5795 + 31.1256i −2.14650 + 1.68802i
\(341\) 0.496753 + 10.4281i 0.0269007 + 0.564715i
\(342\) 7.04684 + 8.13249i 0.381050 + 0.439755i
\(343\) −13.2694 12.9199i −0.716479 0.697609i
\(344\) −1.69735 −0.0915147
\(345\) 11.3217 + 10.7835i 0.609542 + 0.580566i
\(346\) 9.77048 + 16.9230i 0.525264 + 0.909784i
\(347\) −19.1016 18.2134i −1.02543 0.977746i −0.0256707 0.999670i \(-0.508172\pi\)
−0.999760 + 0.0219247i \(0.993021\pi\)
\(348\) −2.78468 + 0.536704i −0.149275 + 0.0287704i
\(349\) −10.9268 + 7.02221i −0.584897 + 0.375890i −0.799370 0.600840i \(-0.794833\pi\)
0.214473 + 0.976730i \(0.431197\pi\)
\(350\) −6.39566 + 30.0431i −0.341862 + 1.60587i
\(351\) −5.38221 3.45893i −0.287281 0.184624i
\(352\) 15.5043 + 21.7727i 0.826381 + 1.16049i
\(353\) −1.41139 0.272024i −0.0751209 0.0144784i 0.151552 0.988449i \(-0.451573\pi\)
−0.226673 + 0.973971i \(0.572785\pi\)
\(354\) −1.05767 + 0.423426i −0.0562144 + 0.0225049i
\(355\) 10.7499 + 1.02649i 0.570546 + 0.0544806i
\(356\) 17.2828 + 5.07468i 0.915985 + 0.268957i
\(357\) 16.6341 7.21086i 0.880370 0.381639i
\(358\) 8.60154 + 18.8347i 0.454605 + 0.995447i
\(359\) 16.5075 + 12.9816i 0.871232 + 0.685145i 0.950169 0.311735i \(-0.100910\pi\)
−0.0789367 + 0.996880i \(0.525152\pi\)
\(360\) 1.67620 + 0.323061i 0.0883435 + 0.0170268i
\(361\) −8.18397 + 0.781474i −0.430735 + 0.0411302i
\(362\) −33.1630 + 17.0967i −1.74301 + 0.898585i
\(363\) −0.0222815 0.154971i −0.00116948 0.00813389i
\(364\) −25.7883 28.1158i −1.35167 1.47367i
\(365\) 20.4676 + 23.6208i 1.07132 + 1.23637i
\(366\) −2.94327 + 12.1323i −0.153847 + 0.634166i
\(367\) −17.2209 29.8274i −0.898923 1.55698i −0.828873 0.559436i \(-0.811018\pi\)
−0.0700492 0.997544i \(-0.522316\pi\)
\(368\) −13.8247 + 8.89522i −0.720664 + 0.463695i
\(369\) 0.692038 1.19865i 0.0360261 0.0623990i
\(370\) 35.9154 10.5457i 1.86715 0.548246i
\(371\) 9.82972 12.0136i 0.510334 0.623715i
\(372\) −6.01133 + 3.86325i −0.311673 + 0.200300i
\(373\) 11.5980 + 4.64315i 0.600523 + 0.240413i 0.651948 0.758264i \(-0.273952\pi\)
−0.0514251 + 0.998677i \(0.516376\pi\)
\(374\) 2.21443 46.4866i 0.114505 2.40376i
\(375\) −2.04126 + 0.194917i −0.105410 + 0.0100655i
\(376\) 0.669915 + 1.93559i 0.0345483 + 0.0998206i
\(377\) −1.14565 + 7.96815i −0.0590039 + 0.410381i
\(378\) −4.91892 2.36248i −0.253002 0.121513i
\(379\) 27.3557 + 8.03235i 1.40517 + 0.412594i 0.894455 0.447158i \(-0.147564\pi\)
0.510711 + 0.859752i \(0.329382\pi\)
\(380\) −27.7464 + 26.4561i −1.42336 + 1.35717i
\(381\) −0.993321 + 1.39492i −0.0508894 + 0.0714641i
\(382\) −23.3576 + 9.35099i −1.19508 + 0.478438i
\(383\) 0.952183 + 2.75115i 0.0486543 + 0.140577i 0.966710 0.255873i \(-0.0823630\pi\)
−0.918056 + 0.396451i \(0.870242\pi\)
\(384\) −1.72607 + 3.77958i −0.0880834 + 0.192876i
\(385\) −17.1228 22.6626i −0.872658 1.15499i
\(386\) 2.49697 + 17.3668i 0.127093 + 0.883948i
\(387\) 0.154245 + 3.23801i 0.00784073 + 0.164597i
\(388\) 12.8053 36.9984i 0.650090 1.87831i
\(389\) 13.8587 + 13.2142i 0.702664 + 0.669989i 0.954646 0.297743i \(-0.0962340\pi\)
−0.251982 + 0.967732i \(0.581082\pi\)
\(390\) 21.5100 37.2564i 1.08920 1.88655i
\(391\) 32.7159 + 3.10608i 1.65452 + 0.157081i
\(392\) −2.79122 2.37546i −0.140978 0.119979i
\(393\) −6.28903 + 1.84662i −0.317239 + 0.0931499i
\(394\) 46.3078 8.92511i 2.33296 0.449640i
\(395\) 48.0551 + 24.7741i 2.41791 + 1.24652i
\(396\) −5.83397 + 4.58788i −0.293168 + 0.230550i
\(397\) −4.38896 + 2.26267i −0.220276 + 0.113560i −0.564833 0.825205i \(-0.691059\pi\)
0.344557 + 0.938765i \(0.388029\pi\)
\(398\) 8.27684 18.1237i 0.414880 0.908461i
\(399\) 12.0859 6.66934i 0.605050 0.333885i
\(400\) 2.74597 19.0986i 0.137298 0.954932i
\(401\) 3.84404 + 0.367062i 0.191962 + 0.0183302i 0.190594 0.981669i \(-0.438958\pi\)
0.00136801 + 0.999999i \(0.499565\pi\)
\(402\) −4.26455 17.5787i −0.212696 0.876746i
\(403\) 4.78208 + 19.7120i 0.238212 + 0.981924i
\(404\) −23.8011 2.27273i −1.18415 0.113073i
\(405\) 0.463976 3.22702i 0.0230552 0.160352i
\(406\) −0.132864 + 6.86479i −0.00659395 + 0.340694i
\(407\) −7.61496 + 16.6744i −0.377459 + 0.826521i
\(408\) 3.18908 1.64409i 0.157883 0.0813944i
\(409\) −3.22800 + 2.53853i −0.159615 + 0.125522i −0.694772 0.719230i \(-0.744495\pi\)
0.535157 + 0.844752i \(0.320252\pi\)
\(410\) 8.27216 + 4.26459i 0.408533 + 0.210613i
\(411\) −4.45793 + 0.859195i −0.219893 + 0.0423810i
\(412\) −14.9476 + 4.38900i −0.736413 + 0.216230i
\(413\) 0.248762 + 1.44013i 0.0122408 + 0.0708642i
\(414\) −5.74192 8.05415i −0.282200 0.395840i
\(415\) 1.88872 3.27137i 0.0927139 0.160585i
\(416\) 37.5846 + 35.8368i 1.84274 + 1.75705i
\(417\) 3.69384 10.6726i 0.180888 0.522642i
\(418\) −1.68605 35.3946i −0.0824675 1.73121i
\(419\) 4.61123 + 32.0718i 0.225274 + 1.56681i 0.717634 + 0.696420i \(0.245225\pi\)
−0.492361 + 0.870391i \(0.663866\pi\)
\(420\) 7.57346 17.9054i 0.369547 0.873693i
\(421\) 1.46591 3.20990i 0.0714441 0.156441i −0.870541 0.492097i \(-0.836231\pi\)
0.941985 + 0.335656i \(0.108958\pi\)
\(422\) −3.84600 11.1123i −0.187220 0.540938i
\(423\) 3.63163 1.45389i 0.176576 0.0706904i
\(424\) 1.78191 2.50234i 0.0865371 0.121524i
\(425\) −27.9159 + 26.6177i −1.35412 + 1.29115i
\(426\) −6.55488 1.92469i −0.317585 0.0932513i
\(427\) 14.4360 + 6.93339i 0.698608 + 0.335530i
\(428\) 1.42326 9.89902i 0.0687960 0.478487i
\(429\) 6.89057 + 19.9090i 0.332680 + 0.961215i
\(430\) −21.6988 + 2.07199i −1.04641 + 0.0999201i
\(431\) −0.0409195 + 0.859007i −0.00197102 + 0.0413769i −0.999639 0.0268833i \(-0.991442\pi\)
0.997668 + 0.0682602i \(0.0217448\pi\)
\(432\) 3.18227 + 1.27399i 0.153107 + 0.0612949i
\(433\) −13.7484 + 8.83555i −0.660705 + 0.424609i −0.827564 0.561371i \(-0.810274\pi\)
0.166859 + 0.985981i \(0.446638\pi\)
\(434\) 6.11791 + 16.1826i 0.293669 + 0.776787i
\(435\) −3.93600 + 1.15571i −0.188717 + 0.0554122i
\(436\) 17.1725 29.7437i 0.822415 1.42447i
\(437\) 25.0217 0.0135763i 1.19695 0.000649443i
\(438\) −9.88630 17.1236i −0.472386 0.818196i
\(439\) −5.50552 + 22.6941i −0.262764 + 1.08313i 0.675541 + 0.737322i \(0.263910\pi\)
−0.938306 + 0.345807i \(0.887605\pi\)
\(440\) −3.68110 4.24822i −0.175490 0.202526i
\(441\) −4.27799 + 5.54065i −0.203714 + 0.263840i
\(442\) −12.8683 89.5007i −0.612081 4.25711i
\(443\) 12.7925 6.59500i 0.607790 0.313338i −0.126717 0.991939i \(-0.540444\pi\)
0.734507 + 0.678601i \(0.237414\pi\)
\(444\) −12.4899 + 1.19264i −0.592745 + 0.0566003i
\(445\) 25.5840 + 4.93091i 1.21280 + 0.233748i
\(446\) 16.4291 + 12.9200i 0.777942 + 0.611780i
\(447\) −0.895955 1.96187i −0.0423772 0.0927932i
\(448\) 21.0077 + 15.5809i 0.992521 + 0.736127i
\(449\) −13.5944 3.99169i −0.641562 0.188379i −0.0552595 0.998472i \(-0.517599\pi\)
−0.586302 + 0.810093i \(0.699417\pi\)
\(450\) 11.5571 + 1.10357i 0.544807 + 0.0520228i
\(451\) −4.23120 + 1.69392i −0.199239 + 0.0797634i
\(452\) −6.37372 1.22843i −0.299794 0.0577806i
\(453\) −12.0369 16.9035i −0.565544 0.794196i
\(454\) 46.6690 + 29.9923i 2.19028 + 1.40761i
\(455\) −40.9996 36.9393i −1.92209 1.73174i
\(456\) 2.29816 1.47694i 0.107621 0.0691640i
\(457\) 11.3006 2.17801i 0.528619 0.101883i 0.0820431 0.996629i \(-0.473855\pi\)
0.446576 + 0.894746i \(0.352643\pi\)
\(458\) −2.86830 2.73492i −0.134027 0.127794i
\(459\) −3.42621 5.93437i −0.159922 0.276993i
\(460\) 27.6888 21.7990i 1.29100 1.01639i
\(461\) 16.4369 0.765543 0.382771 0.923843i \(-0.374970\pi\)
0.382771 + 0.923843i \(0.374970\pi\)
\(462\) 7.92328 + 16.1278i 0.368624 + 0.750335i
\(463\) 17.6318 + 20.3482i 0.819421 + 0.945663i 0.999277 0.0380303i \(-0.0121083\pi\)
−0.179855 + 0.983693i \(0.557563\pi\)
\(464\) −0.205223 4.30817i −0.00952725 0.200002i
\(465\) −8.12479 + 6.38941i −0.376778 + 0.296302i
\(466\) 0.857436 17.9998i 0.0397200 0.833825i
\(467\) −15.1407 21.2622i −0.700630 0.983897i −0.999561 0.0296227i \(-0.990569\pi\)
0.298931 0.954275i \(-0.403370\pi\)
\(468\) −9.44302 + 10.8978i −0.436504 + 0.503752i
\(469\) −23.1947 + 0.655374i −1.07103 + 0.0302624i
\(470\) 10.9270 + 23.9268i 0.504025 + 1.10366i
\(471\) −16.1178 + 15.3683i −0.742667 + 0.708132i
\(472\) 0.0681877 + 0.281073i 0.00313859 + 0.0129375i
\(473\) 6.19190 8.69530i 0.284704 0.399811i
\(474\) −26.8854 21.1429i −1.23489 0.971126i
\(475\) −19.2323 + 22.1952i −0.882437 + 1.01839i
\(476\) −10.7514 39.4224i −0.492788 1.80692i
\(477\) −4.93561 3.17193i −0.225986 0.145233i
\(478\) 15.5867 + 6.23996i 0.712918 + 0.285409i
\(479\) −33.0323 17.0293i −1.50929 0.778091i −0.512537 0.858665i \(-0.671294\pi\)
−0.996749 + 0.0805743i \(0.974325\pi\)
\(480\) −8.65528 + 25.0078i −0.395058 + 1.14144i
\(481\) −8.39660 + 34.6112i −0.382852 + 1.57814i
\(482\) −25.0150 −1.13940
\(483\) −11.6390 + 5.05301i −0.529594 + 0.229920i
\(484\) −0.352877 −0.0160399
\(485\) 13.3517 55.0364i 0.606269 2.49907i
\(486\) −0.674575 + 1.94906i −0.0305993 + 0.0884110i
\(487\) −5.46049 2.81508i −0.247438 0.127563i 0.330047 0.943965i \(-0.392936\pi\)
−0.577485 + 0.816401i \(0.695966\pi\)
\(488\) 2.94232 + 1.17793i 0.133193 + 0.0533223i
\(489\) −2.09919 1.34907i −0.0949286 0.0610069i
\(490\) −38.5827 26.9606i −1.74299 1.21795i
\(491\) 20.0688 23.1606i 0.905692 1.04522i −0.0930794 0.995659i \(-0.529671\pi\)
0.998771 0.0495651i \(-0.0157835\pi\)
\(492\) −2.45211 1.92836i −0.110550 0.0869373i
\(493\) −5.00129 + 7.02333i −0.225247 + 0.316315i
\(494\) −16.2311 66.9054i −0.730270 3.01022i
\(495\) −7.76976 + 7.40846i −0.349225 + 0.332985i
\(496\) −4.51455 9.88549i −0.202709 0.443871i
\(497\) −4.16567 + 7.71018i −0.186856 + 0.345849i
\(498\) −1.56493 + 1.80602i −0.0701261 + 0.0809298i
\(499\) 6.62184 + 9.29907i 0.296434 + 0.416284i 0.935752 0.352659i \(-0.114722\pi\)
−0.639318 + 0.768943i \(0.720783\pi\)
\(500\) −0.219907 + 4.61642i −0.00983455 + 0.206453i
\(501\) 19.6646 15.4644i 0.878548 0.690898i
\(502\) 1.23436 + 25.9124i 0.0550922 + 1.15653i
\(503\) −3.58249 4.13441i −0.159735 0.184344i 0.670240 0.742144i \(-0.266191\pi\)
−0.829975 + 0.557800i \(0.811646\pi\)
\(504\) −0.771371 + 1.15069i −0.0343596 + 0.0512559i
\(505\) −34.5848 −1.53900
\(506\) −1.53217 + 32.5356i −0.0681131 + 1.44638i
\(507\) 13.9662 + 24.1901i 0.620260 + 1.07432i
\(508\) 2.79336 + 2.66346i 0.123935 + 0.118172i
\(509\) 41.1036 7.92207i 1.82188 0.351140i 0.840293 0.542132i \(-0.182383\pi\)
0.981592 + 0.190992i \(0.0611706\pi\)
\(510\) 38.7622 24.9110i 1.71642 1.10308i
\(511\) −24.1252 + 7.83044i −1.06724 + 0.346398i
\(512\) −26.4266 16.9833i −1.16790 0.750564i
\(513\) −3.02638 4.24996i −0.133618 0.187640i
\(514\) 39.2748 + 7.56960i 1.73234 + 0.333881i
\(515\) −20.9202 + 8.37517i −0.921853 + 0.369054i
\(516\) 7.27323 + 0.694509i 0.320186 + 0.0305741i
\(517\) −12.3597 3.62913i −0.543578 0.159609i
\(518\) −3.47212 + 30.1778i −0.152556 + 1.32593i
\(519\) −3.93583 8.61826i −0.172764 0.378300i
\(520\) −8.58482 6.75117i −0.376469 0.296059i
\(521\) −14.4851 2.79177i −0.634603 0.122310i −0.138203 0.990404i \(-0.544133\pi\)
−0.496400 + 0.868094i \(0.665345\pi\)
\(522\) 2.58338 0.246683i 0.113072 0.0107970i
\(523\) 3.02089 1.55738i 0.132094 0.0680993i −0.390913 0.920428i \(-0.627841\pi\)
0.523007 + 0.852328i \(0.324810\pi\)
\(524\) 2.10242 + 14.6227i 0.0918448 + 0.638795i
\(525\) 4.47152 14.2057i 0.195153 0.619988i
\(526\) −23.3825 26.9849i −1.01953 1.17660i
\(527\) −5.12186 + 21.1126i −0.223112 + 0.919678i
\(528\) −5.64379 9.77533i −0.245614 0.425417i
\(529\) −22.8982 2.16144i −0.995574 0.0939757i
\(530\) 19.7252 34.1651i 0.856809 1.48404i
\(531\) 0.530004 0.155623i 0.0230002 0.00675347i
\(532\) −11.0022 29.1019i −0.477004 1.26173i
\(533\) −7.44938 + 4.78743i −0.322669 + 0.207366i
\(534\) −15.3022 6.12609i −0.662193 0.265102i
\(535\) 0.688326 14.4497i 0.0297589 0.624717i
\(536\) −4.57132 + 0.436509i −0.197451 + 0.0188543i
\(537\) −3.28352 9.48711i −0.141694 0.409399i
\(538\) 1.57132 10.9288i 0.0677443 0.471172i
\(539\) 22.3516 5.63343i 0.962750 0.242649i
\(540\) −7.05043 2.07019i −0.303402 0.0890869i
\(541\) 1.95915 1.86804i 0.0842303 0.0803134i −0.646794 0.762664i \(-0.723891\pi\)
0.731025 + 0.682351i \(0.239042\pi\)
\(542\) −26.2345 + 36.8412i −1.12687 + 1.58246i
\(543\) 16.7943 6.72341i 0.720711 0.288529i
\(544\) 18.1920 + 52.5622i 0.779974 + 2.25359i
\(545\) 20.6378 45.1905i 0.884027 1.93575i
\(546\) 21.0461 + 27.8551i 0.900689 + 1.19209i
\(547\) 0.698412 + 4.85756i 0.0298619 + 0.207694i 0.999290 0.0376823i \(-0.0119975\pi\)
−0.969428 + 0.245377i \(0.921088\pi\)
\(548\) 0.486882 + 10.2209i 0.0207986 + 0.436616i
\(549\) 1.97974 5.72008i 0.0844931 0.244127i
\(550\) −27.6683 26.3817i −1.17978 1.12492i
\(551\) −3.28240 + 5.68528i −0.139835 + 0.242201i
\(552\) −2.23133 + 1.15186i −0.0949718 + 0.0490266i
\(553\) −33.7086 + 28.0853i −1.43344 + 1.19431i
\(554\) −25.9648 + 7.62396i −1.10314 + 0.323911i
\(555\) −17.8208 + 3.43468i −0.756451 + 0.145794i
\(556\) −22.6251 11.6640i −0.959516 0.494665i
\(557\) −1.57197 + 1.23621i −0.0666067 + 0.0523801i −0.650907 0.759157i \(-0.725611\pi\)
0.584301 + 0.811537i \(0.301369\pi\)
\(558\) 5.81204 2.99631i 0.246043 0.126844i
\(559\) 8.61560 18.8655i 0.364401 0.797927i
\(560\) 25.3152 + 15.2764i 1.06976 + 0.645545i
\(561\) −3.21128 + 22.3349i −0.135580 + 0.942981i
\(562\) 28.3579 + 2.70785i 1.19621 + 0.114224i
\(563\) −4.72080 19.4594i −0.198958 0.820116i −0.980541 0.196314i \(-0.937103\pi\)
0.781583 0.623801i \(-0.214412\pi\)
\(564\) −2.07864 8.56825i −0.0875263 0.360788i
\(565\) −9.34671 0.892503i −0.393219 0.0375479i
\(566\) −3.27649 + 22.7885i −0.137721 + 0.957873i
\(567\) 2.26526 + 1.36697i 0.0951320 + 0.0574072i
\(568\) −0.720466 + 1.57760i −0.0302301 + 0.0661946i
\(569\) 7.48805 3.86036i 0.313915 0.161835i −0.294068 0.955785i \(-0.595009\pi\)
0.607983 + 0.793950i \(0.291979\pi\)
\(570\) 27.5767 21.6866i 1.15506 0.908351i
\(571\) −20.9511 10.8010i −0.876775 0.452009i −0.0397728 0.999209i \(-0.512663\pi\)
−0.837002 + 0.547200i \(0.815694\pi\)
\(572\) 46.6257 8.98637i 1.94952 0.375739i
\(573\) 11.7047 3.43680i 0.488969 0.143574i
\(574\) −5.80257 + 4.83457i −0.242195 + 0.201791i
\(575\) 19.5275 18.6397i 0.814352 0.777328i
\(576\) 4.94284 8.56126i 0.205952 0.356719i
\(577\) 19.9857 + 19.0563i 0.832016 + 0.793325i 0.980692 0.195561i \(-0.0626527\pi\)
−0.148676 + 0.988886i \(0.547501\pi\)
\(578\) 20.2074 58.3853i 0.840515 2.42851i
\(579\) −0.404775 8.49727i −0.0168219 0.353134i
\(580\) 1.31581 + 9.15163i 0.0546358 + 0.380001i
\(581\) 1.84799 + 2.44587i 0.0766674 + 0.101472i
\(582\) −14.8832 + 32.5897i −0.616929 + 1.35089i
\(583\) 6.31882 + 18.2570i 0.261699 + 0.756129i
\(584\) −4.66007 + 1.86561i −0.192835 + 0.0771995i
\(585\) −12.0990 + 16.9907i −0.500232 + 0.702478i
\(586\) 21.7638 20.7518i 0.899055 0.857247i
\(587\) −15.2070 4.46519i −0.627662 0.184298i −0.0475946 0.998867i \(-0.515156\pi\)
−0.580067 + 0.814569i \(0.696974\pi\)
\(588\) 10.9886 + 11.3211i 0.453161 + 0.466875i
\(589\) −2.35407 + 16.3729i −0.0969976 + 0.674633i
\(590\) 1.21482 + 3.51000i 0.0500134 + 0.144504i
\(591\) −22.7621 + 2.17351i −0.936306 + 0.0894064i
\(592\) 0.907948 19.0602i 0.0373164 0.783368i
\(593\) −32.7209 13.0995i −1.34369 0.537931i −0.415347 0.909663i \(-0.636340\pi\)
−0.928340 + 0.371732i \(0.878764\pi\)
\(594\) 5.71350 3.67184i 0.234428 0.150658i
\(595\) −20.9019 55.2878i −0.856894 2.26658i
\(596\) −4.66417 + 1.36952i −0.191052 + 0.0560979i
\(597\) −4.83015 + 8.36606i −0.197685 + 0.342400i
\(598\) 9.04014 + 62.6343i 0.369679 + 2.56131i
\(599\) 7.58648 + 13.1402i 0.309975 + 0.536893i 0.978357 0.206926i \(-0.0663459\pi\)
−0.668381 + 0.743819i \(0.733013\pi\)
\(600\) 0.694859 2.86425i 0.0283675 0.116932i
\(601\) 11.2253 + 12.9546i 0.457888 + 0.528430i 0.937003 0.349321i \(-0.113588\pi\)
−0.479115 + 0.877752i \(0.659042\pi\)
\(602\) 5.31116 16.8731i 0.216467 0.687698i
\(603\) 1.24814 + 8.68100i 0.0508281 + 0.353517i
\(604\) −41.5714 + 21.4316i −1.69152 + 0.872038i
\(605\) −0.508123 + 0.0485199i −0.0206581 + 0.00197261i
\(606\) 21.4839 + 4.14067i 0.872722 + 0.168203i
\(607\) 1.38660 + 1.09043i 0.0562802 + 0.0442592i 0.645903 0.763420i \(-0.276481\pi\)
−0.589623 + 0.807679i \(0.700724\pi\)
\(608\) 17.5927 + 38.5227i 0.713480 + 1.56230i
\(609\) 0.380512 3.30720i 0.0154191 0.134015i
\(610\) 39.0525 + 11.4668i 1.58119 + 0.464279i
\(611\) −24.9140 2.37900i −1.00791 0.0962441i
\(612\) −14.3381 + 5.74012i −0.579585 + 0.232031i
\(613\) −2.88352 0.555753i −0.116464 0.0224467i 0.130686 0.991424i \(-0.458282\pi\)
−0.247150 + 0.968977i \(0.579494\pi\)
\(614\) 20.9936 + 29.4814i 0.847234 + 1.18977i
\(615\) −3.79605 2.43958i −0.153072 0.0983732i
\(616\) 4.33894 1.40831i 0.174821 0.0567424i
\(617\) 41.4552 26.6416i 1.66892 1.07255i 0.765897 0.642963i \(-0.222295\pi\)
0.903025 0.429588i \(-0.141341\pi\)
\(618\) 13.9982 2.69793i 0.563090 0.108527i
\(619\) 10.3447 + 9.86361i 0.415787 + 0.396452i 0.868889 0.495006i \(-0.164834\pi\)
−0.453102 + 0.891459i \(0.649683\pi\)
\(620\) 11.6482 + 20.1753i 0.467803 + 0.810259i
\(621\) 2.40017 + 4.15201i 0.0963155 + 0.166614i
\(622\) −29.9112 −1.19933
\(623\) −11.7735 + 17.5631i −0.471695 + 0.703652i
\(624\) −14.3615 16.5740i −0.574920 0.663493i
\(625\) −1.02109 21.4353i −0.0408436 0.857412i
\(626\) 52.6413 41.3976i 2.10397 1.65458i
\(627\) −0.817483 + 17.1611i −0.0326471 + 0.685348i
\(628\) 29.1155 + 40.8871i 1.16184 + 1.63157i
\(629\) −24.9801 + 28.8286i −0.996023 + 1.14947i
\(630\) −8.45651 + 15.6521i −0.336915 + 0.623593i
\(631\) 2.64847 + 5.79935i 0.105434 + 0.230868i 0.954995 0.296622i \(-0.0958603\pi\)
−0.849561 + 0.527491i \(0.823133\pi\)
\(632\) −6.28423 + 5.99200i −0.249973 + 0.238349i
\(633\) 1.34415 + 5.54066i 0.0534252 + 0.220221i
\(634\) 9.87836 13.8722i 0.392320 0.550936i
\(635\) 4.38850 + 3.45116i 0.174152 + 0.136955i
\(636\) −8.65948 + 9.99357i −0.343371 + 0.396271i
\(637\) 40.5707 18.9660i 1.60747 0.751459i
\(638\) −7.18902 4.62010i −0.284616 0.182912i
\(639\) 3.07504 + 1.23106i 0.121647 + 0.0487000i
\(640\) 12.0405 + 6.20730i 0.475942 + 0.245365i
\(641\) −10.3634 + 29.9431i −0.409330 + 1.18268i 0.532452 + 0.846460i \(0.321271\pi\)
−0.941783 + 0.336222i \(0.890851\pi\)
\(642\) −2.15758 + 8.89366i −0.0851529 + 0.351005i
\(643\) −39.9824 −1.57675 −0.788376 0.615194i \(-0.789078\pi\)
−0.788376 + 0.615194i \(0.789078\pi\)
\(644\) 7.53957 + 27.5866i 0.297101 + 1.08707i
\(645\) 10.5685 0.416136
\(646\) 17.3843 71.6592i 0.683977 2.81939i
\(647\) −4.57897 + 13.2301i −0.180018 + 0.520128i −0.998521 0.0543749i \(-0.982683\pi\)
0.818503 + 0.574503i \(0.194805\pi\)
\(648\) 0.465395 + 0.239928i 0.0182824 + 0.00942525i
\(649\) −1.68865 0.676035i −0.0662855 0.0265367i
\(650\) −62.4857 40.1571i −2.45089 1.57509i
\(651\) −2.20702 8.09255i −0.0864999 0.317172i
\(652\) −3.68300 + 4.25041i −0.144237 + 0.166459i
\(653\) 27.7527 + 21.8249i 1.08605 + 0.854075i 0.989967 0.141298i \(-0.0451277\pi\)
0.0960783 + 0.995374i \(0.469370\pi\)
\(654\) −18.2305 + 25.6012i −0.712869 + 1.00108i
\(655\) 5.03797 + 20.7668i 0.196850 + 0.811425i
\(656\) 3.43365 3.27398i 0.134062 0.127827i
\(657\) 3.98248 + 8.72042i 0.155372 + 0.340216i
\(658\) −21.3378 + 0.602907i −0.831834 + 0.0235038i
\(659\) −16.9674 + 19.5814i −0.660956 + 0.762784i −0.982933 0.183964i \(-0.941107\pi\)
0.321977 + 0.946747i \(0.395653\pi\)
\(660\) 14.0355 + 19.7101i 0.546331 + 0.767215i
\(661\) −0.705337 + 14.8069i −0.0274344 + 0.575920i 0.942742 + 0.333522i \(0.108237\pi\)
−0.970177 + 0.242398i \(0.922066\pi\)
\(662\) −37.0982 + 29.1743i −1.44186 + 1.13389i
\(663\) 2.08602 + 43.7910i 0.0810145 + 1.70070i
\(664\) 0.397285 + 0.458492i 0.0154177 + 0.0177929i
\(665\) −19.8440 40.3924i −0.769516 1.56635i
\(666\) 11.4814 0.444894
\(667\) 3.49761 4.91735i 0.135428 0.190400i
\(668\) −28.1923 48.8305i −1.09079 1.88931i
\(669\) −7.33415 6.99310i −0.283555 0.270369i
\(670\) −57.9069 + 11.1606i −2.23714 + 0.431173i
\(671\) −16.7679 + 10.7761i −0.647319 + 0.416007i
\(672\) −15.9550 14.3750i −0.615479 0.554528i
\(673\) −34.2887 22.0360i −1.32173 0.849426i −0.326334 0.945254i \(-0.605814\pi\)
−0.995398 + 0.0958286i \(0.969450\pi\)
\(674\) 26.6725 + 37.4562i 1.02738 + 1.44276i
\(675\) −5.52724 1.06529i −0.212744 0.0410029i
\(676\) 58.4462 23.3983i 2.24793 0.899936i
\(677\) 24.5958 + 2.34861i 0.945293 + 0.0902646i 0.556305 0.830978i \(-0.312219\pi\)
0.388988 + 0.921243i \(0.372825\pi\)
\(678\) 5.69926 + 1.67345i 0.218879 + 0.0642686i
\(679\) 36.9143 + 27.3783i 1.41664 + 1.05068i
\(680\) −4.85928 10.6403i −0.186345 0.408039i
\(681\) −21.1427 16.6268i −0.810191 0.637141i
\(682\) −21.1432 4.07502i −0.809615 0.156040i
\(683\) 43.3862 4.14288i 1.66013 0.158523i 0.777592 0.628769i \(-0.216441\pi\)
0.882535 + 0.470247i \(0.155835\pi\)
\(684\) −10.4521 + 5.38843i −0.399646 + 0.206032i
\(685\) 2.10644 + 14.6506i 0.0804829 + 0.559771i
\(686\) 32.3483 20.3142i 1.23506 0.775600i
\(687\) 1.25835 + 1.45222i 0.0480092 + 0.0554055i
\(688\) −2.61972 + 10.7986i −0.0998760 + 0.411694i
\(689\) 18.7680 + 32.5071i 0.715003 + 1.23842i
\(690\) −27.1192 + 17.4492i −1.03241 + 0.664281i
\(691\) 5.62975 9.75101i 0.214166 0.370946i −0.738848 0.673872i \(-0.764630\pi\)
0.953014 + 0.302926i \(0.0979634\pi\)
\(692\) −20.4892 + 6.01616i −0.778881 + 0.228700i
\(693\) −3.08091 8.14936i −0.117034 0.309568i
\(694\) 45.7942 29.4302i 1.73833 1.11715i
\(695\) −34.1826 13.6847i −1.29662 0.519089i
\(696\) 0.0313480 0.658075i 0.00118824 0.0249443i
\(697\) −9.44133 + 0.901538i −0.357616 + 0.0341482i
\(698\) −8.76183 25.3157i −0.331640 0.958212i
\(699\) −1.24342 + 8.64818i −0.0470305 + 0.327104i
\(700\) −30.2576 14.5323i −1.14363 0.549267i
\(701\) 15.8444 + 4.65233i 0.598434 + 0.175716i 0.566900 0.823787i \(-0.308143\pi\)
0.0315338 + 0.999503i \(0.489961\pi\)
\(702\) 9.55002 9.10593i 0.360442 0.343681i
\(703\) −16.8471 + 23.6585i −0.635402 + 0.892297i
\(704\) −30.2211 + 12.0987i −1.13900 + 0.455987i
\(705\) −4.17124 12.0520i −0.157098 0.453905i
\(706\) 1.23152 2.69666i 0.0463490 0.101490i
\(707\) 10.9335 25.8494i 0.411198 0.972166i
\(708\) −0.177181 1.23232i −0.00665885 0.0463133i
\(709\) 0.0821993 + 1.72557i 0.00308706 + 0.0648053i 0.999885 0.0151542i \(-0.00482392\pi\)
−0.996798 + 0.0799595i \(0.974521\pi\)
\(710\) −7.28461 + 21.0475i −0.273386 + 0.789898i
\(711\) 12.0019 + 11.4438i 0.450108 + 0.429177i
\(712\) −2.09225 + 3.62388i −0.0784103 + 0.135811i
\(713\) 3.57664 14.7781i 0.133946 0.553444i
\(714\) 6.36476 + 36.8469i 0.238195 + 1.37896i
\(715\) 65.9028 19.3508i 2.46463 0.723679i
\(716\) −22.2183 + 4.28222i −0.830336 + 0.160034i
\(717\) −7.23540 3.73011i −0.270211 0.139303i
\(718\) −34.0466 + 26.7745i −1.27061 + 0.999216i
\(719\) 30.4309 15.6882i 1.13488 0.585071i 0.214744 0.976670i \(-0.431108\pi\)
0.920136 + 0.391599i \(0.128078\pi\)
\(720\) 4.64243 10.1655i 0.173013 0.378846i
\(721\) 0.353874 18.2838i 0.0131790 0.680926i
\(722\) 2.41311 16.7835i 0.0898066 0.624619i
\(723\) 12.0736 + 1.15289i 0.449023 + 0.0428765i
\(724\) −9.61253 39.6234i −0.357247 1.47259i
\(725\) 1.66980 + 6.88300i 0.0620147 + 0.255628i
\(726\) 0.321452 + 0.0306949i 0.0119302 + 0.00113920i
\(727\) 6.09356 42.3817i 0.225998 1.57185i −0.488723 0.872439i \(-0.662537\pi\)
0.714721 0.699410i \(-0.246554\pi\)
\(728\) 7.75994 4.28216i 0.287602 0.158707i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −57.2968 + 29.5386i −2.12065 + 1.09327i
\(731\) 17.4609 13.7314i 0.645813 0.507873i
\(732\) −12.1261 6.25141i −0.448192 0.231059i
\(733\) 42.7463 8.23867i 1.57887 0.304302i 0.676892 0.736083i \(-0.263327\pi\)
0.901979 + 0.431780i \(0.142114\pi\)
\(734\) 68.1584 20.0131i 2.51577 0.738697i
\(735\) 17.3796 + 14.7909i 0.641055 + 0.545569i
\(736\) −12.7520 36.7800i −0.470046 1.35573i
\(737\) 14.4400 25.0108i 0.531903 0.921283i
\(738\) 2.06600 + 1.96993i 0.0760506 + 0.0725141i
\(739\) 1.89031 5.46168i 0.0695360 0.200911i −0.904878 0.425670i \(-0.860038\pi\)
0.974414 + 0.224759i \(0.0721596\pi\)
\(740\) 1.94634 + 40.8586i 0.0715487 + 1.50199i
\(741\) 4.75048 + 33.0403i 0.174513 + 1.21377i
\(742\) 19.2998 + 25.5438i 0.708517 + 0.937744i
\(743\) 7.18958 15.7430i 0.263760 0.577554i −0.730696 0.682703i \(-0.760804\pi\)
0.994457 + 0.105148i \(0.0335317\pi\)
\(744\) −0.542942 1.56873i −0.0199052 0.0575124i
\(745\) −6.52784 + 2.61335i −0.239162 + 0.0957459i
\(746\) −14.9460 + 20.9888i −0.547214 + 0.768454i
\(747\) 0.838556 0.799562i 0.0306812 0.0292544i
\(748\) 48.7975 + 14.3282i 1.78421 + 0.523893i
\(749\) 10.5824 + 5.08256i 0.386673 + 0.185713i
\(750\) 0.601882 4.18618i 0.0219776 0.152858i
\(751\) −5.44673 15.7373i −0.198754 0.574262i 0.800946 0.598736i \(-0.204330\pi\)
−0.999700 + 0.0244738i \(0.992209\pi\)
\(752\) 13.3484 1.27461i 0.486765 0.0464804i
\(753\) 0.598481 12.5637i 0.0218099 0.457845i
\(754\) −15.4139 6.17080i −0.561342 0.224727i
\(755\) −56.9138 + 36.5763i −2.07130 + 1.33115i
\(756\) 3.77620 4.61516i 0.137339 0.167852i
\(757\) −11.6631 + 3.42459i −0.423902 + 0.124469i −0.486724 0.873556i \(-0.661808\pi\)
0.0628220 + 0.998025i \(0.479990\pi\)
\(758\) −29.4014 + 50.9247i −1.06791 + 1.84967i
\(759\) 2.23901 15.6328i 0.0812708 0.567436i
\(760\) −4.45317 7.71312i −0.161533 0.279784i
\(761\) −5.76723 + 23.7728i −0.209062 + 0.861765i 0.766536 + 0.642201i \(0.221979\pi\)
−0.975598 + 0.219564i \(0.929537\pi\)
\(762\) −2.31292 2.66925i −0.0837881 0.0966967i
\(763\) 27.2519 + 29.7115i 0.986584 + 1.07563i
\(764\) −3.91287 27.2146i −0.141563 0.984590i
\(765\) −19.8569 + 10.2369i −0.717927 + 0.370117i
\(766\) −5.97728 + 0.570761i −0.215968 + 0.0206224i
\(767\) −3.47017 0.668820i −0.125301 0.0241497i
\(768\) 8.80505 + 6.92437i 0.317725 + 0.249862i
\(769\) −15.9874 35.0074i −0.576519 1.26240i −0.943253 0.332074i \(-0.892252\pi\)
0.366735 0.930326i \(-0.380476\pi\)
\(770\) 53.7497 23.3004i 1.93700 0.839689i
\(771\) −18.6073 5.46361i −0.670127 0.196767i
\(772\) −19.0866 1.82255i −0.686943 0.0655951i
\(773\) 9.56450 3.82905i 0.344011 &