Properties

Label 483.2.y.a.340.3
Level $483$
Weight $2$
Character 483.340
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 340.3
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.a.331.3

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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 −0.836926 0.547316i \(-0.815650\pi\)
0.493095 0.869975i \(-0.335865\pi\)
\(3\) 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 −0.931191 0.364532i \(-0.881229\pi\)
−0.422379 + 0.906420i \(0.638805\pi\)
\(6\) 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 −0.726570 0.687092i \(-0.758887\pi\)
0.960645 0.277778i \(-0.0895981\pi\)
\(12\) −1.63120 1.55535i −0.470887 0.448990i
\(13\) 2.65776 5.81968i 0.737130 1.61409i −0.0510893 0.998694i \(-0.516269\pi\)
0.788219 0.615395i \(-0.211003\pi\)
\(14\) 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 −0.595214 0.803567i \(-0.702933\pi\)
0.516135 0.856507i \(-0.327370\pi\)
\(18\) 1.62123 + 1.27495i 0.382127 + 0.300508i
\(19\) 0.248254 5.21148i 0.0569533 1.19560i −0.771757 0.635918i \(-0.780622\pi\)
0.828710 0.559678i \(-0.189075\pi\)
\(20\) 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 −0.438659 0.898654i \(-0.644546\pi\)
0.635219 + 0.772332i \(0.280910\pi\)
\(30\) −3.90039 + 5.47733i −0.712111 + 1.00002i
\(31\) 3.11311 0.600004i 0.559132 0.107764i 0.0981471 0.995172i \(-0.468708\pi\)
0.460985 + 0.887408i \(0.347496\pi\)
\(32\) 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 −0.189961 0.981792i \(-0.560836\pi\)
0.909332 + 0.416072i \(0.136594\pi\)
\(38\) −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 −0.968642 0.248459i \(-0.920076\pi\)
0.999405 + 0.0345031i \(0.0109849\pi\)
\(42\) 5.32692 + 1.18364i 0.821962 + 0.182640i
\(43\) −2.12285 + 2.44990i −0.323731 + 0.373606i −0.894165 0.447738i \(-0.852230\pi\)
0.570434 + 0.821344i \(0.306775\pi\)
\(44\) 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 0.687381 0.726297i \(-0.258760\pi\)
−0.972682 + 0.232141i \(0.925427\pi\)
\(48\) −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 0.488119 0.872777i \(-0.337683\pi\)
0.314123 + 0.949382i \(0.398289\pi\)
\(54\) −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 0.793192 0.608971i \(-0.208418\pi\)
−0.834906 + 0.550392i \(0.814478\pi\)
\(60\) 6.82172 + 2.73101i 0.880681 + 0.352571i
\(61\) 1.97974 5.72008i 0.253479 0.732381i −0.744427 0.667704i \(-0.767277\pi\)
0.997906 0.0646766i \(-0.0206016\pi\)
\(62\) −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 −0.970421 0.241418i \(-0.922387\pi\)
0.194970 + 0.980809i \(0.437539\pi\)
\(68\) 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 0.0876493 0.996151i \(-0.472065\pi\)
−0.464825 + 0.885403i \(0.653883\pi\)
\(72\) −0.514139 0.0990921i −0.0605918 0.0116781i
\(73\) −8.52105 + 4.39291i −0.997314 + 0.514151i −0.877977 0.478703i \(-0.841107\pi\)
−0.119337 + 0.992854i \(0.538077\pi\)
\(74\) −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 −0.962899 0.269861i \(-0.913022\pi\)
−0.894427 + 0.447214i \(0.852416\pi\)
\(80\) 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 0.978768 0.204969i \(-0.0657093\pi\)
−0.996868 + 0.0790847i \(0.974800\pi\)
\(84\) −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 −0.244472 0.969656i \(-0.578615\pi\)
−0.587345 + 0.809337i \(0.699827\pi\)
\(90\) −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 −0.341182 0.939997i \(-0.610827\pi\)
0.592190 0.805799i \(-0.298264\pi\)
\(98\) 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 0.805654 0.592386i \(-0.201814\pi\)
0.174286 + 0.984695i \(0.444238\pi\)
\(102\) −8.19798 11.5124i −0.811721 1.13990i
\(103\) 5.00240 + 4.76978i 0.492901 + 0.469981i 0.895287 0.445490i \(-0.146970\pi\)
−0.402386 + 0.915470i \(0.631819\pi\)
\(104\) 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 −0.852860 0.522139i \(-0.825134\pi\)
0.993159 + 0.116774i \(0.0372553\pi\)
\(108\) 2.24366 + 0.214244i 0.215897 + 0.0206156i
\(109\) −0.725067 15.2210i −0.0694488 1.45791i −0.717631 0.696424i \(-0.754773\pi\)
0.648182 0.761486i \(-0.275530\pi\)
\(110\) 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 0.409110 0.912485i \(-0.365839\pi\)
−0.149162 + 0.988813i \(0.547657\pi\)
\(114\) −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 −0.353818 0.935314i \(-0.615117\pi\)
0.208018 + 0.978125i \(0.433299\pi\)
\(128\) −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 −0.946560 0.322527i \(-0.895468\pi\)
0.614378 + 0.789012i \(0.289407\pi\)
\(132\) −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 −0.946552 0.322552i \(-0.895459\pi\)
0.752614 + 0.658462i \(0.228793\pi\)
\(138\) 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 0.751319 0.659939i \(-0.229418\pi\)
−0.623443 + 0.781869i \(0.714267\pi\)
\(150\) 2.73709 11.2824i 0.223482 0.921206i
\(151\) 12.0369 + 16.9035i 0.979551 + 1.37559i 0.926209 + 0.377011i \(0.123048\pi\)
0.0533423 + 0.998576i \(0.483013\pi\)
\(152\) 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 −1.00000 0.000336868i \(-0.999893\pi\)
−0.579782 + 0.814771i \(0.696862\pi\)
\(158\) 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 0.990199 0.139661i \(-0.0446014\pi\)
−0.944121 + 0.329600i \(0.893086\pi\)
\(164\) 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 0.678456 0.734641i \(-0.262649\pi\)
0.950094 0.311965i \(-0.100987\pi\)
\(168\) −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 0.904430 0.426621i \(-0.140296\pi\)
−0.383104 + 0.923705i \(0.625145\pi\)
\(174\) 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 0.867918 0.496708i \(-0.165458\pi\)
−0.278087 + 0.960556i \(0.589700\pi\)
\(180\) −0.349636 + 7.33976i −0.0260603 + 0.547073i
\(181\) 11.8465 13.6716i 0.880543 1.01620i −0.119185 0.992872i \(-0.538028\pi\)
0.999728 0.0233290i \(-0.00742652\pi\)
\(182\) −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 −0.474952 0.880012i \(-0.657535\pi\)
0.986953 + 0.161007i \(0.0514741\pi\)
\(192\) 9.70704 1.87088i 0.700545 0.135019i
\(193\) 7.89754 + 3.16170i 0.568477 + 0.227584i 0.638053 0.769993i \(-0.279740\pi\)
−0.0695755 + 0.997577i \(0.522164\pi\)
\(194\) −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 0.189290 + 0.981921i \(0.439382\pi\)
−0.866045 + 0.499966i \(0.833346\pi\)
\(198\) 5.33860 4.19832i 0.379398 0.298362i
\(199\) −9.48572 + 1.82822i −0.672425 + 0.129599i −0.514024 0.857776i \(-0.671846\pi\)
−0.158400 + 0.987375i \(0.550634\pi\)
\(200\) 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 0.365032 0.930995i \(-0.381058\pi\)
−0.695223 + 0.718794i \(0.744694\pi\)
\(212\) −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 0.996622 0.0821301i \(-0.0261723\pi\)
−0.714718 + 0.699413i \(0.753445\pi\)
\(224\) 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 0.717964 + 0.696080i \(0.245074\pi\)
−0.134070 + 0.990972i \(0.542805\pi\)
\(228\) −8.51062 + 8.11486i −0.563629 + 0.537420i
\(229\) −0.960779 1.66412i −0.0634901 0.109968i 0.832533 0.553975i \(-0.186890\pi\)
−0.896023 + 0.444007i \(0.853556\pi\)
\(230\) −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 −0.0996865 0.995019i \(-0.531784\pi\)
−0.462357 + 0.886694i \(0.652996\pi\)
\(234\) 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 0.992369 + 0.123303i \(0.0393486\pi\)
−0.917433 + 0.397891i \(0.869742\pi\)
\(240\) 11.1248 1.06229i 0.718102 0.0685704i
\(241\) 2.85941 11.7867i 0.184191 0.759246i −0.802502 0.596650i \(-0.796498\pi\)
0.986693 0.162596i \(-0.0519867\pi\)
\(242\) 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 0.639461 0.768824i \(-0.279158\pi\)
0.122291 + 0.992494i \(0.460976\pi\)
\(252\) 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 0.766660 + 0.642054i \(0.221917\pi\)
−0.824219 + 0.566271i \(0.808386\pi\)
\(258\) −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 0.379228 0.925303i \(-0.376189\pi\)
−0.998446 + 0.0557341i \(0.982250\pi\)
\(264\) 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 −0.0686776 0.997639i \(-0.521878\pi\)
−0.256241 + 0.966613i \(0.582484\pi\)
\(270\) −0.319948 6.71653i −0.0194714 0.408755i
\(271\) 20.3578 8.15002i 1.23665 0.495079i 0.341092 0.940030i \(-0.389203\pi\)
0.895555 + 0.444951i \(0.146779\pi\)
\(272\) 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 −0.598826 0.800879i \(-0.704366\pi\)
0.992995 + 0.118159i \(0.0376993\pi\)
\(278\) −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 0.843291 + 0.537458i \(0.180615\pi\)
−0.960551 + 0.278104i \(0.910294\pi\)
\(282\) −7.17125 3.69704i −0.427042 0.220155i
\(283\) 11.1121 + 1.06108i 0.660546 + 0.0630745i 0.419945 0.907550i \(-0.362049\pi\)
0.240601 + 0.970624i \(0.422655\pi\)
\(284\) 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 −0.847441 0.530889i \(-0.821858\pi\)
0.130874 + 0.991399i \(0.458222\pi\)
\(294\) 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 0.982093 0.188394i \(-0.0603283\pi\)
−0.326243 + 0.945286i \(0.605783\pi\)
\(308\) −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 −0.788920 0.614496i \(-0.789359\pi\)
0.982798 0.184682i \(-0.0591256\pi\)
\(312\) 1.94314 + 2.72876i 0.110009 + 0.154486i
\(313\) −25.5232 + 20.0717i −1.44266 + 1.13452i −0.475690 + 0.879613i \(0.657801\pi\)
−0.966966 + 0.254904i \(0.917956\pi\)
\(314\) 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 −0.576802 0.816884i \(-0.695700\pi\)
0.146263 + 0.989246i \(0.453275\pi\)
\(318\) 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 0.0137078 0.999906i \(-0.495637\pi\)
0.974952 + 0.222415i \(0.0713941\pi\)
\(332\) 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 0.998114 0.0613864i \(-0.0195522\pi\)
−0.202808 + 0.979219i \(0.565007\pi\)
\(338\) −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 −0.999760 0.0219247i \(-0.993021\pi\)
−0.0256707 + 0.999670i \(0.508172\pi\)
\(348\) −2.78468 0.536704i −0.149275 0.0287704i
\(349\) −10.9268 7.02221i −0.584897 0.375890i 0.214473 0.976730i \(-0.431197\pi\)
−0.799370 + 0.600840i \(0.794833\pi\)
\(350\) −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 −0.226673 0.973971i \(-0.572785\pi\)
0.151552 + 0.988449i \(0.451573\pi\)
\(354\) −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 −0.0789367 0.996880i \(-0.525152\pi\)
0.950169 + 0.311735i \(0.100910\pi\)
\(360\) 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 −0.0700492 + 0.997544i \(0.522316\pi\)
−0.828873 + 0.559436i \(0.811018\pi\)
\(368\) −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 −0.0514251 0.998677i \(-0.516376\pi\)
0.651948 + 0.758264i \(0.273952\pi\)
\(374\) 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 0.510711 0.859752i \(-0.329382\pi\)
0.894455 + 0.447158i \(0.147564\pi\)
\(380\) −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 −0.918056 0.396451i \(-0.870242\pi\)
0.966710 + 0.255873i \(0.0823630\pi\)
\(384\) −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 −0.251982 0.967732i \(-0.581082\pi\)
0.954646 + 0.297743i \(0.0962340\pi\)
\(390\) 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 0.344557 0.938765i \(-0.388029\pi\)
−0.564833 + 0.825205i \(0.691059\pi\)
\(398\) 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 0.00136801 0.999999i \(-0.499565\pi\)
0.190594 + 0.981669i \(0.438958\pi\)
\(402\) −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 0.535157 0.844752i \(-0.320252\pi\)
−0.694772 + 0.719230i \(0.744495\pi\)
\(410\) 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 −0.492361 0.870391i \(-0.663866\pi\)
0.717634 0.696420i \(-0.245225\pi\)
\(420\) 7.57346 + 17.9054i 0.369547 + 0.873693i
\(421\) 1.46591 + 3.20990i 0.0714441 + 0.156441i 0.941985 0.335656i \(-0.108958\pi\)
−0.870541 + 0.492097i \(0.836231\pi\)
\(422\) −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 0.997668 0.0682602i \(-0.0217448\pi\)
−0.999639 + 0.0268833i \(0.991442\pi\)
\(432\) 3.18227 1.27399i 0.153107 0.0612949i
\(433\) −13.7484 8.83555i −0.660705 0.424609i 0.166859 0.985981i \(-0.446638\pi\)
−0.827564 + 0.561371i \(0.810274\pi\)
\(434\) 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 −0.938306 0.345807i \(-0.887605\pi\)
0.675541 0.737322i \(-0.263910\pi\)
\(440\) −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 0.734507 0.678601i \(-0.237414\pi\)
−0.126717 + 0.991939i \(0.540444\pi\)
\(444\) −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 −0.586302 0.810093i \(-0.699417\pi\)
−0.0552595 + 0.998472i \(0.517599\pi\)
\(450\) 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 0.446576 0.894746i \(-0.352643\pi\)
0.0820431 + 0.996629i \(0.473855\pi\)
\(458\) −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 −0.179855 0.983693i \(-0.557563\pi\)
0.999277 + 0.0380303i \(0.0121083\pi\)
\(464\) −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 0.298931 + 0.954275i \(0.403370\pi\)
−0.999561 + 0.0296227i \(0.990569\pi\)
\(468\) −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 −0.996749 0.0805743i \(-0.974325\pi\)
−0.512537 + 0.858665i \(0.671294\pi\)
\(480\) −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 −0.577485 0.816401i \(-0.695966\pi\)
0.330047 + 0.943965i \(0.392936\pi\)
\(488\) 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 0.998771 + 0.0495651i \(0.0157835\pi\)
−0.0930794 + 0.995659i \(0.529671\pi\)
\(492\) −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 −0.639318 0.768943i \(-0.720783\pi\)
0.935752 + 0.352659i \(0.114722\pi\)
\(500\) −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 −0.829975 0.557800i \(-0.811646\pi\)
0.670240 + 0.742144i \(0.266191\pi\)
\(504\) −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 0.981592 0.190992i \(-0.0611706\pi\)
0.840293 + 0.542132i \(0.182383\pi\)
\(510\) 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 −0.496400 0.868094i \(-0.665345\pi\)
−0.138203 + 0.990404i \(0.544133\pi\)
\(522\) 2.58338 + 0.246683i 0.113072 + 0.0107970i
\(523\) 3.02089 + 1.55738i 0.132094 + 0.0680993i 0.523007 0.852328i \(-0.324810\pi\)
−0.390913 + 0.920428i \(0.627841\pi\)
\(524\) 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 0.731025 0.682351i \(-0.239042\pi\)
−0.646794 + 0.762664i \(0.723891\pi\)
\(542\) −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 −0.969428 0.245377i \(-0.921088\pi\)
0.999290 + 0.0376823i \(0.0119975\pi\)
\(548\) 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 0.584301 0.811537i \(-0.301369\pi\)
−0.650907 + 0.759157i \(0.725611\pi\)
\(558\) 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 0.781583 + 0.623801i \(0.214412\pi\)
−0.980541 + 0.196314i \(0.937103\pi\)
\(564\) −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 0.607983 0.793950i \(-0.291979\pi\)
−0.294068 + 0.955785i \(0.595009\pi\)
\(570\) 27.5767 + 21.6866i 1.15506 + 0.908351i
\(571\) −20.9511 + 10.8010i −0.876775 + 0.452009i −0.837002 0.547200i \(-0.815694\pi\)
−0.0397728 + 0.999209i \(0.512663\pi\)
\(572\) 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 −0.148676 0.988886i \(-0.547501\pi\)
0.980692 + 0.195561i \(0.0626527\pi\)
\(578\) 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 −0.580067 0.814569i \(-0.696974\pi\)
−0.0475946 + 0.998867i \(0.515156\pi\)
\(588\) 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 −0.928340 0.371732i \(-0.878764\pi\)
−0.415347 + 0.909663i \(0.636340\pi\)
\(594\) 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 −0.668381 0.743819i \(-0.733013\pi\)
0.978357 + 0.206926i \(0.0663459\pi\)
\(600\) 0.694859 + 2.86425i 0.0283675 + 0.116932i
\(601\) 11.2253 12.9546i 0.457888 0.528430i −0.479115 0.877752i \(-0.659042\pi\)
0.937003 + 0.349321i \(0.113588\pi\)
\(602\) 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 −0.589623 0.807679i \(-0.700724\pi\)
0.645903 + 0.763420i \(0.276481\pi\)
\(608\) 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 −0.247150 0.968977i \(-0.579494\pi\)
0.130686 + 0.991424i \(0.458282\pi\)
\(614\) 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 0.903025 + 0.429588i \(0.141341\pi\)
0.765897 + 0.642963i \(0.222295\pi\)
\(618\) 13.9982 + 2.69793i 0.563090 + 0.108527i
\(619\) 10.3447 9.86361i 0.415787 0.396452i −0.453102 0.891459i \(-0.649683\pi\)
0.868889 + 0.495006i \(0.164834\pi\)
\(620\) 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 −0.849561 0.527491i \(-0.823133\pi\)
0.954995 + 0.296622i \(0.0958603\pi\)
\(632\) −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 −0.941783 0.336222i \(-0.890851\pi\)
0.532452 0.846460i \(-0.321271\pi\)
\(642\) −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 0.818503 0.574503i \(-0.194805\pi\)
−0.998521 + 0.0543749i \(0.982683\pi\)
\(648\) 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 0.0960783 0.995374i \(-0.469370\pi\)
0.989967 + 0.141298i \(0.0451277\pi\)
\(654\) −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 0.321977 0.946747i \(-0.395653\pi\)
−0.982933 + 0.183964i \(0.941107\pi\)
\(660\) 14.0355 19.7101i 0.546331 0.767215i
\(661\) −0.705337 14.8069i −0.0274344 0.575920i −0.970177 0.242398i \(-0.922066\pi\)
0.942742 0.333522i \(-0.108237\pi\)
\(662\) −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 −0.995398 0.0958286i \(-0.969450\pi\)
−0.326334 + 0.945254i \(0.605814\pi\)
\(674\) 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 0.388988 0.921243i \(-0.372825\pi\)
0.556305 + 0.830978i \(0.312219\pi\)
\(678\) 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 0.882535 0.470247i \(-0.155835\pi\)
0.777592 + 0.628769i \(0.216441\pi\)
\(684\) −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 0.953014 0.302926i \(-0.0979634\pi\)
−0.738848 + 0.673872i \(0.764630\pi\)
\(692\) −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 0.0315338 0.999503i \(-0.489961\pi\)
0.566900 + 0.823787i \(0.308143\pi\)
\(702\) 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 −0.996798 0.0799595i \(-0.974521\pi\)
0.999885 + 0.0151542i \(0.00482392\pi\)
\(710\) −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 0.920136 0.391599i \(-0.128078\pi\)
0.214744 + 0.976670i \(0.431108\pi\)
\(720\) 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 0.714721 + 0.699410i \(0.246554\pi\)
−0.488723 + 0.872439i \(0.662537\pi\)
\(728\) 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 0.901979 0.431780i \(-0.142114\pi\)
0.676892 + 0.736083i \(0.263327\pi\)
\(734\) 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 0.974414 0.224759i \(-0.0721596\pi\)
−0.904878 + 0.425670i \(0.860038\pi\)
\(740\) 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 0.994457 0.105148i \(-0.0335317\pi\)
−0.730696 + 0.682703i \(0.760804\pi\)
\(744\) −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 −0.999700 0.0244738i \(-0.992209\pi\)
0.800946 + 0.598736i \(0.204330\pi\)
\(752\) 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 0.0628220 0.998025i \(-0.479990\pi\)
−0.486724 + 0.873556i \(0.661808\pi\)
\(758\) −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 −0.975598 0.219564i \(-0.929537\pi\)
0.766536 0.642201i \(-0.221979\pi\)
\(762\) −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 0.366735 + 0.930326i \(0.380476\pi\)
−0.943253 + 0.332074i \(0.892252\pi\)
\(770\) 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