Properties

Label 441.2.y.a.151.49
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.49
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.49

$q$-expansion

\(f(q)\) \(=\) \(q+(2.08709 - 1.00509i) q^{2} +(1.51033 - 0.847884i) q^{3} +(2.09877 - 2.63177i) q^{4} +(-1.46653 - 1.36074i) q^{5} +(2.29999 - 3.28763i) q^{6} +(-2.55799 + 0.675802i) q^{7} +(0.704215 - 3.08537i) q^{8} +(1.56218 - 2.56117i) q^{9} +O(q^{10})\) \(q+(2.08709 - 1.00509i) q^{2} +(1.51033 - 0.847884i) q^{3} +(2.09877 - 2.63177i) q^{4} +(-1.46653 - 1.36074i) q^{5} +(2.29999 - 3.28763i) q^{6} +(-2.55799 + 0.675802i) q^{7} +(0.704215 - 3.08537i) q^{8} +(1.56218 - 2.56117i) q^{9} +(-4.42846 - 1.36600i) q^{10} +(2.74156 + 1.86917i) q^{11} +(0.938391 - 5.75435i) q^{12} +(3.06522 + 2.08983i) q^{13} +(-4.65951 + 3.98147i) q^{14} +(-3.36870 - 0.811720i) q^{15} +(-0.133230 - 0.583719i) q^{16} +(-5.17133 + 0.779453i) q^{17} +(0.686217 - 6.91553i) q^{18} +(0.930856 + 1.61229i) q^{19} +(-6.65909 + 1.00370i) q^{20} +(-3.29040 + 3.18956i) q^{21} +(7.60058 + 1.14560i) q^{22} +(-0.869454 - 2.21533i) q^{23} +(-1.55244 - 5.25701i) q^{24} +(-0.0745547 - 0.994864i) q^{25} +(8.49788 + 1.28085i) q^{26} +(0.187838 - 5.19276i) q^{27} +(-3.59006 + 8.15039i) q^{28} +(4.97460 - 0.749800i) q^{29} +(-7.84665 + 1.69172i) q^{30} -1.71754 q^{31} +(3.08158 + 3.86418i) q^{32} +(5.72550 + 0.498527i) q^{33} +(-10.0096 + 6.82445i) q^{34} +(4.67097 + 2.48968i) q^{35} +(-3.46175 - 9.48661i) q^{36} +(-3.33948 + 8.50886i) q^{37} +(3.56328 + 2.42940i) q^{38} +(6.40143 + 0.557381i) q^{39} +(-5.23116 + 3.56654i) q^{40} +(0.0854054 - 0.0263441i) q^{41} +(-3.66157 + 9.96405i) q^{42} +(4.12102 + 1.27117i) q^{43} +(10.6731 - 3.29222i) q^{44} +(-5.77609 + 1.63031i) q^{45} +(-4.04124 - 3.74972i) q^{46} +(-8.72599 + 4.20221i) q^{47} +(-0.696147 - 0.768644i) q^{48} +(6.08658 - 3.45739i) q^{49} +(-1.15553 - 2.00144i) q^{50} +(-7.14952 + 5.56192i) q^{51} +(11.9332 - 3.68089i) q^{52} +(0.956134 + 2.43619i) q^{53} +(-4.82716 - 11.0266i) q^{54} +(-1.47714 - 6.47176i) q^{55} +(0.283727 + 8.36824i) q^{56} +(2.77293 + 1.64583i) q^{57} +(9.62883 - 6.56483i) q^{58} +(-2.95513 - 12.9473i) q^{59} +(-9.20639 + 7.16204i) q^{60} +(4.18227 + 5.24440i) q^{61} +(-3.58466 + 1.72628i) q^{62} +(-2.26520 + 7.60716i) q^{63} +(11.3943 + 5.48719i) q^{64} +(-1.65152 - 7.23580i) q^{65} +(12.4507 - 4.71418i) q^{66} -7.10843 q^{67} +(-8.80208 + 15.2457i) q^{68} +(-3.19151 - 2.60868i) q^{69} +(12.2511 + 0.501442i) q^{70} +(6.33459 - 7.94333i) q^{71} +(-6.80203 - 6.62353i) q^{72} +(-6.80720 + 4.64107i) q^{73} +(1.58237 + 21.1153i) q^{74} +(-0.956131 - 1.43936i) q^{75} +(6.19683 + 0.934023i) q^{76} +(-8.27607 - 2.92855i) q^{77} +(13.9206 - 5.27072i) q^{78} -10.2518 q^{79} +(-0.598906 + 1.03734i) q^{80} +(-4.11916 - 8.00203i) q^{81} +(0.151771 - 0.140823i) q^{82} +(-1.31391 + 0.895808i) q^{83} +(1.48842 + 15.3537i) q^{84} +(8.64457 + 5.89377i) q^{85} +(9.87860 - 1.48896i) q^{86} +(6.87754 - 5.35033i) q^{87} +(7.69772 - 7.14244i) q^{88} +(-1.11803 - 14.9191i) q^{89} +(-10.4166 + 9.20809i) q^{90} +(-9.25312 - 3.27428i) q^{91} +(-7.65503 - 2.36126i) q^{92} +(-2.59404 + 1.45627i) q^{93} +(-13.9883 + 17.5408i) q^{94} +(0.828783 - 3.63114i) q^{95} +(7.93058 + 3.22336i) q^{96} +(-0.0150907 + 0.0261379i) q^{97} +(9.22827 - 13.3335i) q^{98} +(9.07008 - 4.10162i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.08709 1.00509i 1.47580 0.710707i 0.488943 0.872316i \(-0.337383\pi\)
0.986855 + 0.161609i \(0.0516685\pi\)
\(3\) 1.51033 0.847884i 0.871989 0.489526i
\(4\) 2.09877 2.63177i 1.04938 1.31589i
\(5\) −1.46653 1.36074i −0.655854 0.608543i 0.280393 0.959885i \(-0.409535\pi\)
−0.936247 + 0.351342i \(0.885726\pi\)
\(6\) 2.29999 3.28763i 0.938969 1.34217i
\(7\) −2.55799 + 0.675802i −0.966828 + 0.255429i
\(8\) 0.704215 3.08537i 0.248978 1.09084i
\(9\) 1.56218 2.56117i 0.520728 0.853723i
\(10\) −4.42846 1.36600i −1.40040 0.431967i
\(11\) 2.74156 + 1.86917i 0.826613 + 0.563575i 0.901082 0.433648i \(-0.142774\pi\)
−0.0744695 + 0.997223i \(0.523726\pi\)
\(12\) 0.938391 5.75435i 0.270890 1.66114i
\(13\) 3.06522 + 2.08983i 0.850140 + 0.579616i 0.908124 0.418702i \(-0.137515\pi\)
−0.0579835 + 0.998318i \(0.518467\pi\)
\(14\) −4.65951 + 3.98147i −1.24531 + 1.06409i
\(15\) −3.36870 0.811720i −0.869795 0.209585i
\(16\) −0.133230 0.583719i −0.0333075 0.145930i
\(17\) −5.17133 + 0.779453i −1.25423 + 0.189045i −0.742351 0.670011i \(-0.766289\pi\)
−0.511881 + 0.859056i \(0.671051\pi\)
\(18\) 0.686217 6.91553i 0.161743 1.63001i
\(19\) 0.930856 + 1.61229i 0.213553 + 0.369885i 0.952824 0.303523i \(-0.0981630\pi\)
−0.739271 + 0.673408i \(0.764830\pi\)
\(20\) −6.65909 + 1.00370i −1.48902 + 0.224433i
\(21\) −3.29040 + 3.18956i −0.718023 + 0.696019i
\(22\) 7.60058 + 1.14560i 1.62045 + 0.244243i
\(23\) −0.869454 2.21533i −0.181294 0.461929i 0.811119 0.584881i \(-0.198859\pi\)
−0.992413 + 0.122953i \(0.960764\pi\)
\(24\) −1.55244 5.25701i −0.316890 1.07308i
\(25\) −0.0745547 0.994864i −0.0149109 0.198973i
\(26\) 8.49788 + 1.28085i 1.66657 + 0.251195i
\(27\) 0.187838 5.19276i 0.0361494 0.999346i
\(28\) −3.59006 + 8.15039i −0.678458 + 1.54028i
\(29\) 4.97460 0.749800i 0.923760 0.139234i 0.330096 0.943947i \(-0.392919\pi\)
0.593664 + 0.804713i \(0.297681\pi\)
\(30\) −7.84665 + 1.69172i −1.43259 + 0.308864i
\(31\) −1.71754 −0.308479 −0.154239 0.988034i \(-0.549293\pi\)
−0.154239 + 0.988034i \(0.549293\pi\)
\(32\) 3.08158 + 3.86418i 0.544752 + 0.683097i
\(33\) 5.72550 + 0.498527i 0.996682 + 0.0867823i
\(34\) −10.0096 + 6.82445i −1.71664 + 1.17038i
\(35\) 4.67097 + 2.48968i 0.789538 + 0.420832i
\(36\) −3.46175 9.48661i −0.576958 1.58110i
\(37\) −3.33948 + 8.50886i −0.549008 + 1.39885i 0.339770 + 0.940509i \(0.389651\pi\)
−0.888777 + 0.458340i \(0.848444\pi\)
\(38\) 3.56328 + 2.42940i 0.578041 + 0.394101i
\(39\) 6.40143 + 0.557381i 1.02505 + 0.0892524i
\(40\) −5.23116 + 3.56654i −0.827118 + 0.563920i
\(41\) 0.0854054 0.0263441i 0.0133381 0.00411425i −0.288079 0.957607i \(-0.593017\pi\)
0.301417 + 0.953492i \(0.402540\pi\)
\(42\) −3.66157 + 9.96405i −0.564992 + 1.53749i
\(43\) 4.12102 + 1.27117i 0.628450 + 0.193851i 0.592588 0.805506i \(-0.298106\pi\)
0.0358620 + 0.999357i \(0.488582\pi\)
\(44\) 10.6731 3.29222i 1.60903 0.496322i
\(45\) −5.77609 + 1.63031i −0.861049 + 0.243032i
\(46\) −4.04124 3.74972i −0.595848 0.552867i
\(47\) −8.72599 + 4.20221i −1.27282 + 0.612956i −0.943534 0.331276i \(-0.892521\pi\)
−0.329282 + 0.944232i \(0.606807\pi\)
\(48\) −0.696147 0.768644i −0.100480 0.110944i
\(49\) 6.08658 3.45739i 0.869512 0.493912i
\(50\) −1.15553 2.00144i −0.163417 0.283046i
\(51\) −7.14952 + 5.56192i −1.00113 + 0.778824i
\(52\) 11.9332 3.68089i 1.65483 0.510448i
\(53\) 0.956134 + 2.43619i 0.131335 + 0.334636i 0.981381 0.192073i \(-0.0615209\pi\)
−0.850046 + 0.526709i \(0.823426\pi\)
\(54\) −4.82716 11.0266i −0.656893 1.50052i
\(55\) −1.47714 6.47176i −0.199177 0.872653i
\(56\) 0.283727 + 8.36824i 0.0379146 + 1.11825i
\(57\) 2.77293 + 1.64583i 0.367284 + 0.217995i
\(58\) 9.62883 6.56483i 1.26433 0.862004i
\(59\) −2.95513 12.9473i −0.384726 1.68559i −0.682443 0.730939i \(-0.739083\pi\)
0.297718 0.954654i \(-0.403775\pi\)
\(60\) −9.20639 + 7.16204i −1.18854 + 0.924616i
\(61\) 4.18227 + 5.24440i 0.535485 + 0.671477i 0.973816 0.227337i \(-0.0730017\pi\)
−0.438331 + 0.898814i \(0.644430\pi\)
\(62\) −3.58466 + 1.72628i −0.455252 + 0.219238i
\(63\) −2.26520 + 7.60716i −0.285389 + 0.958412i
\(64\) 11.3943 + 5.48719i 1.42428 + 0.685899i
\(65\) −1.65152 7.23580i −0.204846 0.897491i
\(66\) 12.4507 4.71418i 1.53258 0.580275i
\(67\) −7.10843 −0.868434 −0.434217 0.900808i \(-0.642975\pi\)
−0.434217 + 0.900808i \(0.642975\pi\)
\(68\) −8.80208 + 15.2457i −1.06741 + 1.84881i
\(69\) −3.19151 2.60868i −0.384212 0.314049i
\(70\) 12.2511 + 0.501442i 1.46429 + 0.0599338i
\(71\) 6.33459 7.94333i 0.751778 0.942700i −0.247882 0.968790i \(-0.579734\pi\)
0.999660 + 0.0260905i \(0.00830582\pi\)
\(72\) −6.80203 6.62353i −0.801627 0.780590i
\(73\) −6.80720 + 4.64107i −0.796722 + 0.543196i −0.891883 0.452266i \(-0.850616\pi\)
0.0951611 + 0.995462i \(0.469663\pi\)
\(74\) 1.58237 + 21.1153i 0.183947 + 2.45460i
\(75\) −0.956131 1.43936i −0.110405 0.166203i
\(76\) 6.19683 + 0.934023i 0.710826 + 0.107140i
\(77\) −8.27607 2.92855i −0.943146 0.333739i
\(78\) 13.9206 5.27072i 1.57620 0.596791i
\(79\) −10.2518 −1.15342 −0.576710 0.816949i \(-0.695664\pi\)
−0.576710 + 0.816949i \(0.695664\pi\)
\(80\) −0.598906 + 1.03734i −0.0669597 + 0.115978i
\(81\) −4.11916 8.00203i −0.457684 0.889115i
\(82\) 0.151771 0.140823i 0.0167603 0.0155513i
\(83\) −1.31391 + 0.895808i −0.144220 + 0.0983278i −0.633281 0.773922i \(-0.718292\pi\)
0.489060 + 0.872250i \(0.337340\pi\)
\(84\) 1.48842 + 15.3537i 0.162399 + 1.67523i
\(85\) 8.64457 + 5.89377i 0.937635 + 0.639269i
\(86\) 9.87860 1.48896i 1.06524 0.160559i
\(87\) 6.87754 5.35033i 0.737349 0.573616i
\(88\) 7.69772 7.14244i 0.820580 0.761387i
\(89\) −1.11803 14.9191i −0.118511 1.58142i −0.666868 0.745176i \(-0.732365\pi\)
0.548357 0.836244i \(-0.315254\pi\)
\(90\) −10.4166 + 9.20809i −1.09801 + 0.970618i
\(91\) −9.25312 3.27428i −0.969990 0.343238i
\(92\) −7.65503 2.36126i −0.798092 0.246179i
\(93\) −2.59404 + 1.45627i −0.268990 + 0.151008i
\(94\) −13.9883 + 17.5408i −1.44279 + 1.80920i
\(95\) 0.828783 3.63114i 0.0850314 0.372547i
\(96\) 7.93058 + 3.22336i 0.809411 + 0.328983i
\(97\) −0.0150907 + 0.0261379i −0.00153223 + 0.00265390i −0.866791 0.498672i \(-0.833821\pi\)
0.865258 + 0.501326i \(0.167154\pi\)
\(98\) 9.22827 13.3335i 0.932196 1.34688i
\(99\) 9.07008 4.10162i 0.911577 0.412229i
\(100\) −2.77473 1.89178i −0.277473 0.189178i
\(101\) −13.6846 + 4.22113i −1.36166 + 0.420018i −0.887658 0.460504i \(-0.847669\pi\)
−0.474006 + 0.880522i \(0.657193\pi\)
\(102\) −9.33148 + 18.7942i −0.923954 + 1.86090i
\(103\) −9.35143 8.67685i −0.921423 0.854956i 0.0683418 0.997662i \(-0.478229\pi\)
−0.989765 + 0.142706i \(0.954420\pi\)
\(104\) 8.60649 7.98566i 0.843936 0.783058i
\(105\) 9.16565 0.200208i 0.894476 0.0195383i
\(106\) 4.44413 + 4.12355i 0.431652 + 0.400515i
\(107\) 0.842287 + 11.2395i 0.0814270 + 1.08657i 0.876930 + 0.480618i \(0.159588\pi\)
−0.795503 + 0.605949i \(0.792793\pi\)
\(108\) −13.2719 11.3927i −1.27709 1.09627i
\(109\) −0.833354 + 11.1203i −0.0798209 + 1.06514i 0.803171 + 0.595748i \(0.203144\pi\)
−0.882992 + 0.469388i \(0.844475\pi\)
\(110\) −9.58764 12.0225i −0.914145 1.14630i
\(111\) 2.17082 + 15.6827i 0.206045 + 1.48853i
\(112\) 0.735279 + 1.40311i 0.0694773 + 0.132581i
\(113\) −0.500270 6.67564i −0.0470615 0.627992i −0.970010 0.243067i \(-0.921847\pi\)
0.922948 0.384925i \(-0.125773\pi\)
\(114\) 7.44158 + 0.647948i 0.696968 + 0.0606859i
\(115\) −1.73942 + 4.43196i −0.162202 + 0.413283i
\(116\) 8.46723 14.6657i 0.786163 1.36167i
\(117\) 10.1409 4.58585i 0.937523 0.423962i
\(118\) −19.1808 24.0520i −1.76574 2.21417i
\(119\) 12.7014 5.48863i 1.16434 0.503142i
\(120\) −4.87675 + 9.82206i −0.445184 + 0.896628i
\(121\) 0.00363791 + 0.00926925i 0.000330719 + 0.000842659i
\(122\) 13.9999 + 6.74199i 1.26749 + 0.610391i
\(123\) 0.106653 0.112202i 0.00961662 0.0101169i
\(124\) −3.60471 + 4.52017i −0.323713 + 0.405923i
\(125\) −7.48114 + 9.38106i −0.669134 + 0.839067i
\(126\) 2.91820 + 18.1536i 0.259974 + 1.61725i
\(127\) 5.08618 + 6.37787i 0.451326 + 0.565944i 0.954489 0.298247i \(-0.0964019\pi\)
−0.503163 + 0.864191i \(0.667831\pi\)
\(128\) 19.4111 1.71571
\(129\) 7.30190 1.57427i 0.642897 0.138607i
\(130\) −10.7195 13.4419i −0.940164 1.17893i
\(131\) 14.6137 + 4.50772i 1.27680 + 0.393842i 0.857725 0.514108i \(-0.171877\pi\)
0.419078 + 0.907950i \(0.362353\pi\)
\(132\) 13.3285 14.0219i 1.16010 1.22045i
\(133\) −3.47071 3.49514i −0.300949 0.303067i
\(134\) −14.8360 + 7.14462i −1.28163 + 0.617201i
\(135\) −7.34148 + 7.35975i −0.631854 + 0.633427i
\(136\) −1.23683 + 16.5044i −0.106057 + 1.41524i
\(137\) 9.22028 8.55517i 0.787742 0.730918i −0.179780 0.983707i \(-0.557538\pi\)
0.967521 + 0.252789i \(0.0813480\pi\)
\(138\) −9.28293 2.23681i −0.790216 0.190410i
\(139\) 2.43661 0.751595i 0.206671 0.0637495i −0.189691 0.981844i \(-0.560749\pi\)
0.396362 + 0.918094i \(0.370273\pi\)
\(140\) 16.3555 7.06767i 1.38230 0.597327i
\(141\) −9.61612 + 13.7454i −0.809823 + 1.15757i
\(142\) 5.23712 22.9453i 0.439489 1.92553i
\(143\) 4.49726 + 11.4588i 0.376080 + 0.958236i
\(144\) −1.70313 0.570652i −0.141928 0.0475543i
\(145\) −8.31570 5.66955i −0.690582 0.470831i
\(146\) −9.54255 + 16.5282i −0.789747 + 1.36788i
\(147\) 6.26127 10.3825i 0.516421 0.856335i
\(148\) 15.3846 + 26.6469i 1.26461 + 2.19036i
\(149\) 1.78351 23.7993i 0.146111 1.94972i −0.136866 0.990590i \(-0.543703\pi\)
0.282977 0.959127i \(-0.408678\pi\)
\(150\) −3.44222 2.04307i −0.281056 0.166816i
\(151\) −20.3523 3.06761i −1.65624 0.249639i −0.746675 0.665190i \(-0.768351\pi\)
−0.909570 + 0.415551i \(0.863589\pi\)
\(152\) 5.63004 1.73664i 0.456656 0.140860i
\(153\) −6.08226 + 14.4623i −0.491722 + 1.16921i
\(154\) −20.2164 + 2.20605i −1.62908 + 0.177769i
\(155\) 2.51883 + 2.33713i 0.202317 + 0.187723i
\(156\) 14.9020 15.6773i 1.19312 1.25519i
\(157\) 2.90098 + 12.7100i 0.231523 + 1.01437i 0.948377 + 0.317146i \(0.102725\pi\)
−0.716853 + 0.697224i \(0.754418\pi\)
\(158\) −21.3965 + 10.3040i −1.70221 + 0.819743i
\(159\) 3.50968 + 2.86876i 0.278336 + 0.227507i
\(160\) 0.738920 9.86020i 0.0584167 0.779517i
\(161\) 3.72118 + 5.07921i 0.293270 + 0.400298i
\(162\) −16.6398 12.5609i −1.30735 0.986874i
\(163\) −8.47226 + 7.86111i −0.663599 + 0.615730i −0.938309 0.345797i \(-0.887608\pi\)
0.274711 + 0.961527i \(0.411418\pi\)
\(164\) 0.109915 0.280058i 0.00858288 0.0218688i
\(165\) −7.71827 8.52205i −0.600867 0.663441i
\(166\) −1.84188 + 3.19023i −0.142958 + 0.247610i
\(167\) −2.03430 + 5.18331i −0.157419 + 0.401097i −0.987723 0.156213i \(-0.950071\pi\)
0.830305 + 0.557310i \(0.188166\pi\)
\(168\) 7.52382 + 12.3982i 0.580475 + 0.956544i
\(169\) 0.278758 + 0.710265i 0.0214430 + 0.0546358i
\(170\) 23.9658 + 3.61226i 1.83809 + 0.277048i
\(171\) 5.58352 + 0.134616i 0.426982 + 0.0102943i
\(172\) 11.9945 8.17771i 0.914572 0.623545i
\(173\) 13.2069 16.5609i 1.00410 1.25910i 0.0384504 0.999261i \(-0.487758\pi\)
0.965651 0.259843i \(-0.0836707\pi\)
\(174\) 8.97649 18.0792i 0.680506 1.37058i
\(175\) 0.863041 + 2.49446i 0.0652398 + 0.188564i
\(176\) 0.725809 1.84933i 0.0547099 0.139399i
\(177\) −15.4410 17.0490i −1.16062 1.28148i
\(178\) −17.3285 30.0138i −1.29882 2.24963i
\(179\) 13.2303 1.99414i 0.988878 0.149049i 0.365367 0.930864i \(-0.380944\pi\)
0.623511 + 0.781814i \(0.285706\pi\)
\(180\) −7.83209 + 18.6230i −0.583769 + 1.38808i
\(181\) 14.0078 + 6.74580i 1.04119 + 0.501411i 0.874717 0.484635i \(-0.161047\pi\)
0.166474 + 0.986046i \(0.446762\pi\)
\(182\) −22.6031 + 2.46649i −1.67545 + 0.182829i
\(183\) 10.7633 + 4.37469i 0.795642 + 0.323386i
\(184\) −7.44740 + 1.12252i −0.549030 + 0.0827529i
\(185\) 16.4759 7.93435i 1.21133 0.583345i
\(186\) −3.95032 + 5.64663i −0.289652 + 0.414031i
\(187\) −15.6345 7.52916i −1.14330 0.550587i
\(188\) −7.25456 + 31.7843i −0.529093 + 2.31811i
\(189\) 3.02879 + 13.4099i 0.220312 + 0.975429i
\(190\) −1.91987 8.41152i −0.139282 0.610236i
\(191\) 3.12506 13.6918i 0.226122 0.990703i −0.726648 0.687010i \(-0.758923\pi\)
0.952770 0.303694i \(-0.0982199\pi\)
\(192\) 21.8616 1.37356i 1.57773 0.0991283i
\(193\) 5.87884 25.7569i 0.423168 1.85402i −0.0903016 0.995914i \(-0.528783\pi\)
0.513470 0.858108i \(-0.328360\pi\)
\(194\) −0.00522477 + 0.0697197i −0.000375117 + 0.00500558i
\(195\) −8.62947 9.52813i −0.617969 0.682324i
\(196\) 3.67527 23.2748i 0.262520 1.66248i
\(197\) 0.662920 0.0472311 0.0236155 0.999721i \(-0.492482\pi\)
0.0236155 + 0.999721i \(0.492482\pi\)
\(198\) 14.8076 17.6767i 1.05233 1.25623i
\(199\) 12.1281 + 11.2532i 0.859737 + 0.797719i 0.980819 0.194923i \(-0.0624458\pi\)
−0.121081 + 0.992643i \(0.538636\pi\)
\(200\) −3.12202 0.470569i −0.220760 0.0332743i
\(201\) −10.7361 + 6.02713i −0.757264 + 0.425121i
\(202\) −24.3183 + 22.5641i −1.71103 + 1.58760i
\(203\) −12.2182 + 5.27982i −0.857552 + 0.370571i
\(204\) −0.367485 + 30.4891i −0.0257291 + 2.13466i
\(205\) −0.161097 0.0775804i −0.0112515 0.00541845i
\(206\) −28.2383 8.71037i −1.96746 0.606880i
\(207\) −7.03208 1.23394i −0.488764 0.0857648i
\(208\) 0.811496 2.06766i 0.0562671 0.143366i
\(209\) −0.461637 + 6.16012i −0.0319321 + 0.426105i
\(210\) 18.9283 9.63017i 1.30618 0.664545i
\(211\) 1.06827 + 14.2551i 0.0735427 + 0.981359i 0.904901 + 0.425622i \(0.139945\pi\)
−0.831358 + 0.555737i \(0.812436\pi\)
\(212\) 8.41820 + 2.59667i 0.578164 + 0.178340i
\(213\) 2.83229 17.3680i 0.194066 1.19004i
\(214\) 13.0547 + 22.6114i 0.892400 + 1.54568i
\(215\) −4.31389 7.47187i −0.294205 0.509577i
\(216\) −15.8893 4.23637i −1.08113 0.288248i
\(217\) 4.39343 1.16072i 0.298246 0.0787945i
\(218\) 9.43767 + 24.0468i 0.639199 + 1.62865i
\(219\) −6.34601 + 12.7813i −0.428824 + 0.863677i
\(220\) −20.1324 9.69524i −1.35733 0.653653i
\(221\) −17.4802 8.41803i −1.17585 0.566258i
\(222\) 20.2932 + 30.5493i 1.36199 + 2.05034i
\(223\) −2.57369 6.55766i −0.172347 0.439134i 0.818435 0.574599i \(-0.194842\pi\)
−0.990782 + 0.135466i \(0.956747\pi\)
\(224\) −10.4941 7.80198i −0.701164 0.521292i
\(225\) −2.66448 1.36321i −0.177632 0.0908809i
\(226\) −7.75374 13.4299i −0.515771 0.893341i
\(227\) −3.22262 5.58175i −0.213893 0.370474i 0.739037 0.673665i \(-0.235281\pi\)
−0.952930 + 0.303192i \(0.901948\pi\)
\(228\) 10.1512 3.84352i 0.672280 0.254543i
\(229\) −1.45351 0.448347i −0.0960503 0.0296276i 0.246358 0.969179i \(-0.420766\pi\)
−0.342408 + 0.939551i \(0.611242\pi\)
\(230\) 0.824201 + 10.9982i 0.0543462 + 0.725199i
\(231\) −14.9827 + 2.59408i −0.985786 + 0.170678i
\(232\) 1.18978 15.8765i 0.0781128 1.04234i
\(233\) −7.58340 + 19.3222i −0.496805 + 1.26584i 0.434194 + 0.900819i \(0.357033\pi\)
−0.931000 + 0.365020i \(0.881062\pi\)
\(234\) 16.5557 19.7636i 1.08228 1.29199i
\(235\) 18.5151 + 5.71115i 1.20779 + 0.372554i
\(236\) −40.2764 19.3961i −2.62177 1.26258i
\(237\) −15.4836 + 8.69236i −1.00577 + 0.564629i
\(238\) 20.9925 24.2214i 1.36074 1.57004i
\(239\) −4.06667 + 3.77332i −0.263051 + 0.244076i −0.800660 0.599118i \(-0.795518\pi\)
0.537610 + 0.843194i \(0.319327\pi\)
\(240\) −0.0250042 + 2.07452i −0.00161401 + 0.133910i
\(241\) 2.17142 + 0.327289i 0.139873 + 0.0210825i 0.218606 0.975813i \(-0.429849\pi\)
−0.0787323 + 0.996896i \(0.525087\pi\)
\(242\) 0.0169091 + 0.0156894i 0.00108696 + 0.00100855i
\(243\) −13.0061 8.59313i −0.834341 0.551249i
\(244\) 22.5797 1.44552
\(245\) −13.6308 3.21191i −0.870840 0.205201i
\(246\) 0.109822 0.341373i 0.00700202 0.0217651i
\(247\) −0.516137 + 6.88737i −0.0328410 + 0.438233i
\(248\) −1.20952 + 5.29923i −0.0768043 + 0.336502i
\(249\) −1.22489 + 2.46701i −0.0776245 + 0.156340i
\(250\) −6.18503 + 27.0984i −0.391175 + 1.71385i
\(251\) −0.870105 3.81218i −0.0549205 0.240622i 0.940016 0.341131i \(-0.110810\pi\)
−0.994936 + 0.100509i \(0.967953\pi\)
\(252\) 15.2662 + 21.9272i 0.961679 + 1.38128i
\(253\) 1.75716 7.69863i 0.110472 0.484009i
\(254\) 17.0257 + 8.19913i 1.06829 + 0.514459i
\(255\) 18.0534 + 1.57193i 1.13055 + 0.0984381i
\(256\) 17.7242 8.53552i 1.10776 0.533470i
\(257\) 24.0583 3.62620i 1.50071 0.226196i 0.653288 0.757109i \(-0.273389\pi\)
0.847426 + 0.530913i \(0.178151\pi\)
\(258\) 13.6575 10.6247i 0.850277 0.661467i
\(259\) 2.79204 24.0224i 0.173489 1.49268i
\(260\) −22.5091 10.8398i −1.39596 0.672258i
\(261\) 5.85088 13.9121i 0.362160 0.861138i
\(262\) 35.0308 5.28004i 2.16421 0.326202i
\(263\) 1.19607 + 2.07166i 0.0737529 + 0.127744i 0.900543 0.434766i \(-0.143169\pi\)
−0.826790 + 0.562510i \(0.809836\pi\)
\(264\) 5.57012 17.3142i 0.342817 1.06562i
\(265\) 1.91283 4.87381i 0.117504 0.299396i
\(266\) −10.7566 3.80631i −0.659531 0.233380i
\(267\) −14.3383 21.5848i −0.877487 1.32097i
\(268\) −14.9190 + 18.7078i −0.911321 + 1.14276i
\(269\) 2.12249 1.44709i 0.129410 0.0882305i −0.496885 0.867817i \(-0.665523\pi\)
0.626295 + 0.779586i \(0.284570\pi\)
\(270\) −7.92514 + 22.7393i −0.482309 + 1.38387i
\(271\) −10.7566 1.62130i −0.653420 0.0984872i −0.186038 0.982543i \(-0.559565\pi\)
−0.467382 + 0.884055i \(0.654803\pi\)
\(272\) 1.14396 + 2.91476i 0.0693626 + 0.176733i
\(273\) −16.7515 + 2.90033i −1.01384 + 0.175536i
\(274\) 10.6449 27.1227i 0.643079 1.63854i
\(275\) 1.65517 2.86684i 0.0998105 0.172877i
\(276\) −13.5637 + 2.92430i −0.816438 + 0.176022i
\(277\) −8.17992 + 20.8421i −0.491484 + 1.25228i 0.443079 + 0.896483i \(0.353886\pi\)
−0.934563 + 0.355798i \(0.884209\pi\)
\(278\) 4.33001 4.01766i 0.259697 0.240963i
\(279\) −2.68311 + 4.39890i −0.160634 + 0.263355i
\(280\) 10.9709 12.6584i 0.655639 0.756483i
\(281\) 0.508012 6.77895i 0.0303054 0.404398i −0.961336 0.275377i \(-0.911197\pi\)
0.991642 0.129021i \(-0.0411835\pi\)
\(282\) −6.25440 + 38.3529i −0.372444 + 2.28388i
\(283\) 3.02063 1.45466i 0.179558 0.0864705i −0.341945 0.939720i \(-0.611086\pi\)
0.521503 + 0.853249i \(0.325371\pi\)
\(284\) −7.61019 33.3424i −0.451582 1.97851i
\(285\) −1.82705 6.18692i −0.108225 0.366482i
\(286\) 20.9034 + 19.3955i 1.23604 + 1.14688i
\(287\) −0.200662 + 0.125105i −0.0118447 + 0.00738471i
\(288\) 14.7108 1.85588i 0.866843 0.109359i
\(289\) 9.89037 3.05077i 0.581786 0.179457i
\(290\) −23.0541 3.47484i −1.35378 0.204050i
\(291\) −0.000630034 0.0522720i −3.69332e−5 0.00306424i
\(292\) −2.07249 + 27.6555i −0.121284 + 1.61842i
\(293\) 7.49552 + 12.9826i 0.437893 + 0.758453i 0.997527 0.0702870i \(-0.0223915\pi\)
−0.559634 + 0.828740i \(0.689058\pi\)
\(294\) 2.63250 27.9624i 0.153530 1.63080i
\(295\) −13.2841 + 23.0088i −0.773433 + 1.33962i
\(296\) 23.9013 + 16.2956i 1.38923 + 0.947163i
\(297\) 10.2211 13.8852i 0.593088 0.805700i
\(298\) −20.1981 51.4640i −1.17005 2.98123i
\(299\) 1.96461 8.60750i 0.113616 0.497785i
\(300\) −5.79476 0.504557i −0.334561 0.0291306i
\(301\) −11.4006 0.466630i −0.657118 0.0268961i
\(302\) −45.5603 + 14.0535i −2.62170 + 0.808688i
\(303\) −17.0891 + 17.9782i −0.981746 + 1.03282i
\(304\) 0.817106 0.758164i 0.0468643 0.0434837i
\(305\) 1.00285 13.3821i 0.0574230 0.766257i
\(306\) 1.84167 + 36.2974i 0.105281 + 2.07498i
\(307\) 20.5909 9.91607i 1.17519 0.565940i 0.258681 0.965963i \(-0.416712\pi\)
0.916505 + 0.400023i \(0.130998\pi\)
\(308\) −25.0768 + 15.6344i −1.42888 + 0.890852i
\(309\) −21.4807 5.17597i −1.22199 0.294451i
\(310\) 7.60605 + 2.34616i 0.431994 + 0.133253i
\(311\) −13.0278 16.3364i −0.738740 0.926350i 0.260495 0.965475i \(-0.416114\pi\)
−0.999234 + 0.0391251i \(0.987543\pi\)
\(312\) 6.22771 19.3583i 0.352575 1.09595i
\(313\) 33.5075 1.89396 0.946979 0.321295i \(-0.104118\pi\)
0.946979 + 0.321295i \(0.104118\pi\)
\(314\) 18.8293 + 23.6112i 1.06260 + 1.33246i
\(315\) 13.6734 8.07379i 0.770408 0.454907i
\(316\) −21.5162 + 26.9805i −1.21038 + 1.51777i
\(317\) 3.72810 4.67489i 0.209391 0.262568i −0.666035 0.745921i \(-0.732010\pi\)
0.875426 + 0.483353i \(0.160581\pi\)
\(318\) 10.2084 + 2.45981i 0.572458 + 0.137939i
\(319\) 15.0397 + 7.24273i 0.842061 + 0.405515i
\(320\) −9.24342 23.5519i −0.516723 1.31659i
\(321\) 10.8020 + 16.2612i 0.602907 + 0.907614i
\(322\) 12.8715 + 6.86066i 0.717301 + 0.382330i
\(323\) −6.07047 7.61213i −0.337770 0.423550i
\(324\) −29.7047 5.95372i −1.65026 0.330762i
\(325\) 1.85057 3.20529i 0.102651 0.177797i
\(326\) −9.78126 + 24.9223i −0.541734 + 1.38032i
\(327\) 8.17012 + 17.5020i 0.451809 + 0.967860i
\(328\) −0.0211374 0.282059i −0.00116712 0.0155741i
\(329\) 19.4811 16.6462i 1.07403 0.917737i
\(330\) −24.6742 10.0287i −1.35827 0.552064i
\(331\) −10.7149 13.4360i −0.588943 0.738511i 0.394666 0.918825i \(-0.370860\pi\)
−0.983609 + 0.180313i \(0.942289\pi\)
\(332\) −0.400028 + 5.33801i −0.0219544 + 0.292961i
\(333\) 16.5757 + 21.8454i 0.908345 + 1.19712i
\(334\) 0.963926 + 12.8627i 0.0527437 + 0.703816i
\(335\) 10.4248 + 9.67276i 0.569565 + 0.528480i
\(336\) 2.30019 + 1.49572i 0.125485 + 0.0815983i
\(337\) 18.3136 16.9925i 0.997603 0.925640i 0.000371408 1.00000i \(-0.499882\pi\)
0.997231 + 0.0743597i \(0.0236913\pi\)
\(338\) 1.29568 + 1.20221i 0.0704755 + 0.0653917i
\(339\) −6.41574 9.65824i −0.348455 0.524564i
\(340\) 33.6540 10.3809i 1.82514 0.562982i
\(341\) −4.70874 3.21036i −0.254992 0.173851i
\(342\) 11.7886 5.33099i 0.637455 0.288267i
\(343\) −13.2329 + 12.9573i −0.714508 + 0.699627i
\(344\) 6.82411 11.8197i 0.367931 0.637276i
\(345\) 1.13070 + 8.16855i 0.0608749 + 0.439780i
\(346\) 10.9188 47.8383i 0.586997 2.57180i
\(347\) −11.1743 + 14.0121i −0.599867 + 0.752210i −0.985357 0.170502i \(-0.945461\pi\)
0.385490 + 0.922712i \(0.374032\pi\)
\(348\) 0.353505 29.3292i 0.0189499 1.57221i
\(349\) 23.1543 + 7.14216i 1.23942 + 0.382311i 0.844077 0.536222i \(-0.180149\pi\)
0.395344 + 0.918533i \(0.370625\pi\)
\(350\) 4.30841 + 4.33874i 0.230294 + 0.231915i
\(351\) 11.4278 15.5244i 0.609969 0.828632i
\(352\) 1.22555 + 16.3539i 0.0653223 + 0.871665i
\(353\) −5.18807 + 4.81383i −0.276133 + 0.256214i −0.806066 0.591825i \(-0.798408\pi\)
0.529933 + 0.848040i \(0.322217\pi\)
\(354\) −49.3627 20.0633i −2.62360 1.06635i
\(355\) −20.0987 + 3.02940i −1.06673 + 0.160784i
\(356\) −41.6101 28.3693i −2.20533 1.50357i
\(357\) 14.5296 19.0590i 0.768989 1.00871i
\(358\) 25.6085 17.4596i 1.35345 0.922769i
\(359\) −18.4310 + 17.1015i −0.972753 + 0.902583i −0.995268 0.0971634i \(-0.969023\pi\)
0.0225152 + 0.999747i \(0.492833\pi\)
\(360\) 0.962481 + 18.9695i 0.0507272 + 0.999778i
\(361\) 7.76701 13.4529i 0.408790 0.708045i
\(362\) 36.0157 1.89294
\(363\) 0.0133537 + 0.0109151i 0.000700887 + 0.000572893i
\(364\) −28.0373 + 17.4801i −1.46955 + 0.916208i
\(365\) 16.2983 + 2.45657i 0.853091 + 0.128583i
\(366\) 26.8609 1.68766i 1.40404 0.0882157i
\(367\) 0.285969 + 3.81600i 0.0149275 + 0.199193i 0.999681 + 0.0252402i \(0.00803507\pi\)
−0.984754 + 0.173953i \(0.944346\pi\)
\(368\) −1.17729 + 0.802665i −0.0613707 + 0.0418418i
\(369\) 0.0659474 0.259892i 0.00343308 0.0135294i
\(370\) 26.4119 33.1195i 1.37309 1.72180i
\(371\) −4.09216 5.58558i −0.212454 0.289989i
\(372\) −1.61172 + 9.88331i −0.0835639 + 0.512426i
\(373\) 16.6661 28.8666i 0.862939 1.49465i −0.00613959 0.999981i \(-0.501954\pi\)
0.869079 0.494674i \(-0.164712\pi\)
\(374\) −40.1981 −2.07859
\(375\) −3.34493 + 20.5116i −0.172732 + 1.05922i
\(376\) 6.82041 + 29.8822i 0.351736 + 1.54105i
\(377\) 16.8152 + 8.09778i 0.866028 + 0.417057i
\(378\) 19.7996 + 24.9436i 1.01838 + 1.28296i
\(379\) 0.599933 0.288913i 0.0308165 0.0148404i −0.418412 0.908257i \(-0.637413\pi\)
0.449229 + 0.893417i \(0.351699\pi\)
\(380\) −7.81690 9.80208i −0.400999 0.502836i
\(381\) 13.0895 + 5.32018i 0.670595 + 0.272561i
\(382\) −7.23920 31.7170i −0.370390 1.62278i
\(383\) −12.0064 + 8.18584i −0.613500 + 0.418277i −0.829809 0.558048i \(-0.811551\pi\)
0.216309 + 0.976325i \(0.430598\pi\)
\(384\) 29.3171 16.4584i 1.49608 0.839887i
\(385\) 8.15213 + 15.5564i 0.415471 + 0.792829i
\(386\) −13.6183 59.6658i −0.693155 3.03691i
\(387\) 9.69347 8.56884i 0.492747 0.435578i
\(388\) 0.0371170 + 0.0945727i 0.00188433 + 0.00480120i
\(389\) 1.19097 0.367364i 0.0603844 0.0186261i −0.264416 0.964409i \(-0.585179\pi\)
0.324800 + 0.945783i \(0.394703\pi\)
\(390\) −27.5871 11.2127i −1.39693 0.567777i
\(391\) 6.22298 + 10.7785i 0.314710 + 0.545093i
\(392\) −6.38105 21.2141i −0.322292 1.07147i
\(393\) 25.8935 5.58257i 1.30615 0.281603i
\(394\) 1.38357 0.666295i 0.0697035 0.0335674i
\(395\) 15.0346 + 13.9501i 0.756475 + 0.701906i
\(396\) 8.24146 32.4787i 0.414149 1.63212i
\(397\) 20.2020 6.23150i 1.01391 0.312750i 0.257101 0.966385i \(-0.417233\pi\)
0.756811 + 0.653634i \(0.226757\pi\)
\(398\) 36.6229 + 11.2967i 1.83574 + 0.566251i
\(399\) −8.20538 2.33605i −0.410783 0.116949i
\(400\) −0.570788 + 0.176065i −0.0285394 + 0.00880323i
\(401\) −31.2045 + 21.2749i −1.55828 + 1.06242i −0.591665 + 0.806184i \(0.701529\pi\)
−0.966615 + 0.256233i \(0.917518\pi\)
\(402\) −16.3494 + 23.3699i −0.815432 + 1.16559i
\(403\) −5.26463 3.58937i −0.262250 0.178799i
\(404\) −17.6117 + 44.8738i −0.876213 + 2.23255i
\(405\) −4.84783 + 17.3404i −0.240891 + 0.861650i
\(406\) −20.1939 + 23.2999i −1.00221 + 1.15636i
\(407\) −25.0599 + 17.0855i −1.24217 + 0.846899i
\(408\) 12.1258 + 25.9757i 0.600315 + 1.28599i
\(409\) 4.96548 + 6.22651i 0.245527 + 0.307881i 0.889290 0.457344i \(-0.151199\pi\)
−0.643763 + 0.765225i \(0.722628\pi\)
\(410\) −0.414201 −0.0204559
\(411\) 6.67186 20.7389i 0.329099 1.02297i
\(412\) −42.4620 + 6.40012i −2.09195 + 0.315311i
\(413\) 16.3090 + 31.1219i 0.802513 + 1.53141i
\(414\) −15.9168 + 4.49254i −0.782270 + 0.220796i
\(415\) 3.14586 + 0.474162i 0.154424 + 0.0232757i
\(416\) 1.37024 + 18.2846i 0.0671815 + 0.896475i
\(417\) 3.04282 3.20112i 0.149007 0.156760i
\(418\) 5.22800 + 13.3207i 0.255710 + 0.651539i
\(419\) 20.4730 + 3.08581i 1.00017 + 0.150751i 0.628663 0.777678i \(-0.283603\pi\)
0.371508 + 0.928430i \(0.378841\pi\)
\(420\) 18.7097 24.5421i 0.912939 1.19753i
\(421\) −9.92897 + 1.49655i −0.483908 + 0.0729375i −0.386466 0.922304i \(-0.626304\pi\)
−0.0974426 + 0.995241i \(0.531066\pi\)
\(422\) 16.5572 + 28.6779i 0.805992 + 1.39602i
\(423\) −2.86903 + 28.9134i −0.139497 + 1.40582i
\(424\) 8.18987 1.23442i 0.397735 0.0599489i
\(425\) 1.16100 + 5.08666i 0.0563166 + 0.246739i
\(426\) −11.5452 39.0954i −0.559367 1.89418i
\(427\) −14.2424 10.5887i −0.689237 0.512424i
\(428\) 31.3477 + 21.3725i 1.51525 + 1.03308i
\(429\) 16.5081 + 13.4934i 0.797019 + 0.651470i
\(430\) −16.5134 11.2586i −0.796346 0.542940i
\(431\) −35.1742 10.8498i −1.69428 0.522617i −0.710765 0.703430i \(-0.751651\pi\)
−0.983518 + 0.180813i \(0.942127\pi\)
\(432\) −3.05614 + 0.582187i −0.147038 + 0.0280105i
\(433\) −7.00190 + 30.6773i −0.336490 + 1.47426i 0.469819 + 0.882763i \(0.344319\pi\)
−0.806309 + 0.591495i \(0.798538\pi\)
\(434\) 8.00288 6.83832i 0.384150 0.328250i
\(435\) −17.3666 1.51213i −0.832663 0.0725011i
\(436\) 27.5172 + 25.5322i 1.31783 + 1.22277i
\(437\) 2.76242 3.46397i 0.132145 0.165704i
\(438\) −0.398400 + 33.0540i −0.0190363 + 1.57938i
\(439\) −23.6354 + 11.3822i −1.12805 + 0.543242i −0.902372 0.430959i \(-0.858175\pi\)
−0.225682 + 0.974201i \(0.572461\pi\)
\(440\) −21.0080 −1.00152
\(441\) 0.653418 20.9898i 0.0311151 0.999516i
\(442\) −44.9437 −2.13775
\(443\) −14.4029 + 6.93609i −0.684304 + 0.329544i −0.743532 0.668701i \(-0.766851\pi\)
0.0592271 + 0.998245i \(0.481136\pi\)
\(444\) 45.8293 + 27.2012i 2.17496 + 1.29091i
\(445\) −18.6614 + 23.4007i −0.884637 + 1.10930i
\(446\) −11.9626 11.0997i −0.566445 0.525584i
\(447\) −17.4854 37.4570i −0.827030 1.77166i
\(448\) −32.8547 6.33588i −1.55224 0.299342i
\(449\) 0.190671 0.835382i 0.00899830 0.0394241i −0.970229 0.242188i \(-0.922135\pi\)
0.979228 + 0.202763i \(0.0649922\pi\)
\(450\) −6.93117 0.167107i −0.326739 0.00787750i
\(451\) 0.283386 + 0.0874129i 0.0133441 + 0.00411611i
\(452\) −18.6187 12.6940i −0.875751 0.597077i
\(453\) −33.3396 + 12.6233i −1.56643 + 0.593093i
\(454\) −12.3361 8.41059i −0.578961 0.394729i
\(455\) 9.11455 + 17.3930i 0.427297 + 0.815395i
\(456\) 7.03074 7.39651i 0.329244 0.346373i
\(457\) 6.53024 + 28.6109i 0.305472 + 1.33836i 0.861737 + 0.507355i \(0.169377\pi\)
−0.556265 + 0.831005i \(0.687766\pi\)
\(458\) −3.48423 + 0.525163i −0.162807 + 0.0245393i
\(459\) 3.07614 + 26.9999i 0.143582 + 1.26025i
\(460\) 8.01329 + 13.8794i 0.373621 + 0.647131i
\(461\) 20.3429 3.06620i 0.947463 0.142807i 0.342907 0.939370i \(-0.388589\pi\)
0.604556 + 0.796562i \(0.293350\pi\)
\(462\) −28.6629 + 20.4730i −1.33352 + 0.952491i
\(463\) 5.46932 + 0.824367i 0.254181 + 0.0383116i 0.274897 0.961474i \(-0.411356\pi\)
−0.0207157 + 0.999785i \(0.506594\pi\)
\(464\) −1.10044 2.80387i −0.0510866 0.130166i
\(465\) 5.78587 + 1.39416i 0.268313 + 0.0646526i
\(466\) 3.59330 + 47.9492i 0.166456 + 2.22121i
\(467\) −4.94593 0.745480i −0.228871 0.0344967i 0.0336056 0.999435i \(-0.489301\pi\)
−0.262476 + 0.964938i \(0.584539\pi\)
\(468\) 9.21442 36.3131i 0.425937 1.67857i
\(469\) 18.1833 4.80390i 0.839626 0.221823i
\(470\) 44.3830 6.68965i 2.04723 0.308571i
\(471\) 15.1581 + 16.7366i 0.698446 + 0.771182i
\(472\) −42.0282 −1.93450
\(473\) 8.92203 + 11.1879i 0.410235 + 0.514419i
\(474\) −23.5791 + 33.7042i −1.08303 + 1.54809i
\(475\) 1.53461 1.04628i 0.0704127 0.0480066i
\(476\) 12.2126 44.9466i 0.559761 2.06013i
\(477\) 7.73315 + 1.35696i 0.354077 + 0.0621308i
\(478\) −4.69499 + 11.9626i −0.214744 + 0.547158i
\(479\) 13.5728 + 9.25378i 0.620157 + 0.422816i 0.832224 0.554439i \(-0.187067\pi\)
−0.212067 + 0.977255i \(0.568020\pi\)
\(480\) −7.24430 15.5187i −0.330655 0.708327i
\(481\) −28.0184 + 19.1026i −1.27753 + 0.871004i
\(482\) 4.86091 1.49939i 0.221408 0.0682954i
\(483\) 9.92678 + 4.51615i 0.451684 + 0.205492i
\(484\) 0.0320297 + 0.00987985i 0.00145590 + 0.000449084i
\(485\) 0.0576980 0.0177975i 0.00261993 0.000808142i
\(486\) −35.7818 4.86236i −1.62309 0.220561i
\(487\) 29.6493 + 27.5106i 1.34354 + 1.24662i 0.944016 + 0.329900i \(0.107015\pi\)
0.399524 + 0.916723i \(0.369175\pi\)
\(488\) 19.1261 9.21066i 0.865800 0.416947i
\(489\) −6.13059 + 19.0564i −0.277235 + 0.861758i
\(490\) −31.6770 + 6.99664i −1.43102 + 0.316076i
\(491\) 6.06164 + 10.4991i 0.273558 + 0.473817i 0.969770 0.244019i \(-0.0784661\pi\)
−0.696212 + 0.717836i \(0.745133\pi\)
\(492\) −0.0714495 0.516174i −0.00322119 0.0232709i
\(493\) −25.1409 + 7.75493i −1.13229 + 0.349264i
\(494\) 5.84521 + 14.8933i 0.262988 + 0.670083i
\(495\) −18.8828 6.32689i −0.848720 0.284373i
\(496\) 0.228827 + 1.00256i 0.0102747 + 0.0450162i
\(497\) −10.8357 + 24.5999i −0.486047 + 1.10345i
\(498\) −0.0768982 + 6.38000i −0.00344589 + 0.285895i
\(499\) −11.4192 + 7.78551i −0.511196 + 0.348527i −0.791286 0.611446i \(-0.790588\pi\)
0.280090 + 0.959974i \(0.409636\pi\)
\(500\) 8.98762 + 39.3773i 0.401939 + 1.76101i
\(501\) 1.32239 + 9.55335i 0.0590799 + 0.426812i
\(502\) −5.64757 7.08183i −0.252064 0.316078i
\(503\) −12.5484 + 6.04301i −0.559507 + 0.269444i −0.692192 0.721714i \(-0.743355\pi\)
0.132684 + 0.991158i \(0.457640\pi\)
\(504\) 21.8757 + 12.3461i 0.974421 + 0.549937i
\(505\) 25.8127 + 12.4308i 1.14865 + 0.553161i
\(506\) −4.07046 17.8339i −0.180954 0.792812i
\(507\) 1.02324 + 0.836378i 0.0454437 + 0.0371449i
\(508\) 27.4598 1.21833
\(509\) −1.88279 + 3.26108i −0.0834531 + 0.144545i −0.904731 0.425983i \(-0.859928\pi\)
0.821278 + 0.570528i \(0.193262\pi\)
\(510\) 39.2590 14.8645i 1.73842 0.658212i
\(511\) 14.2763 16.4721i 0.631545 0.728683i
\(512\) 4.20783 5.27645i 0.185961 0.233188i
\(513\) 8.54708 4.53086i 0.377363 0.200042i
\(514\) 46.5672 31.7490i 2.05399 1.40039i
\(515\) 1.90720 + 25.4498i 0.0840412 + 1.12145i
\(516\) 11.1819 22.5210i 0.492255 0.991431i
\(517\) −31.7775 4.78969i −1.39757 0.210650i
\(518\) −18.3174 52.9432i −0.804822 2.32619i
\(519\) 5.90500 36.2103i 0.259201 1.58946i
\(520\) −23.4881 −1.03002
\(521\) 16.6368 28.8157i 0.728870 1.26244i −0.228492 0.973546i \(-0.573379\pi\)
0.957361 0.288893i \(-0.0932874\pi\)
\(522\) −1.77161 34.9165i −0.0775413 1.52825i
\(523\) 28.1933 26.1596i 1.23281 1.14388i 0.248274 0.968690i \(-0.420137\pi\)
0.984535 0.175189i \(-0.0560537\pi\)
\(524\) 42.5340 28.9992i 1.85811 1.26684i
\(525\) 3.41849 + 3.03570i 0.149195 + 0.132489i
\(526\) 4.57851 + 3.12158i 0.199633 + 0.136107i
\(527\) 8.88195 1.33874i 0.386904 0.0583164i
\(528\) −0.471809 3.40850i −0.0205329 0.148336i
\(529\) 12.7084 11.7917i 0.552541 0.512683i
\(530\) −0.906369 12.0947i −0.0393702 0.525358i
\(531\) −37.7766 12.6575i −1.63937 0.549287i
\(532\) −16.4826 + 1.79862i −0.714613 + 0.0779801i
\(533\) 0.316841 + 0.0977326i 0.0137239 + 0.00423327i
\(534\) −51.6199 30.6382i −2.23381 1.32584i
\(535\) 14.0589 17.6293i 0.607819 0.762181i
\(536\) −5.00587 + 21.9321i −0.216221 + 0.947324i
\(537\) 18.2913 14.2296i 0.789327 0.614051i
\(538\) 2.97537 5.15350i 0.128278 0.222183i
\(539\) 23.1492 + 1.89819i 0.997106 + 0.0817609i
\(540\) 3.96112 + 34.7675i 0.170459 + 1.49616i
\(541\) −24.9409 17.0044i −1.07229 0.731076i −0.107530 0.994202i \(-0.534294\pi\)
−0.964761 + 0.263126i \(0.915246\pi\)
\(542\) −24.0797 + 7.42759i −1.03431 + 0.319043i
\(543\) 26.8760 1.68862i 1.15336 0.0724655i
\(544\) −18.9478 17.5810i −0.812381 0.753780i
\(545\) 16.3541 15.1744i 0.700532 0.649999i
\(546\) −32.0467 + 22.8900i −1.37147 + 0.979601i
\(547\) 10.6642 + 9.89493i 0.455968 + 0.423077i 0.874425 0.485160i \(-0.161239\pi\)
−0.418457 + 0.908236i \(0.637429\pi\)
\(548\) −3.16403 42.2210i −0.135161 1.80359i
\(549\) 19.9653 2.51878i 0.852097 0.107499i
\(550\) 0.573060 7.64695i 0.0244353 0.326067i
\(551\) 5.83953 + 7.32254i 0.248772 + 0.311951i
\(552\) −10.2963 + 8.00990i −0.438238 + 0.340924i
\(553\) 26.2240 6.92821i 1.11516 0.294617i
\(554\) 3.87595 + 51.7210i 0.164673 + 2.19741i
\(555\) 18.1565 25.9531i 0.770702 1.10165i
\(556\) 3.13586 7.99003i 0.132990 0.338853i
\(557\) 2.54846 4.41406i 0.107982 0.187030i −0.806971 0.590591i \(-0.798895\pi\)
0.914952 + 0.403562i \(0.132228\pi\)
\(558\) −1.17860 + 11.8777i −0.0498943 + 0.502822i
\(559\) 9.97533 + 12.5087i 0.421912 + 0.529060i
\(560\) 0.830959 3.05823i 0.0351144 0.129234i
\(561\) −29.9970 + 1.88471i −1.26648 + 0.0795725i
\(562\) −5.75319 14.6589i −0.242684 0.618348i
\(563\) −9.61115 4.62848i −0.405062 0.195067i 0.220248 0.975444i \(-0.429313\pi\)
−0.625310 + 0.780376i \(0.715027\pi\)
\(564\) 15.9926 + 54.1558i 0.673412 + 2.28037i
\(565\) −8.35018 + 10.4708i −0.351295 + 0.440510i
\(566\) 4.84227 6.07202i 0.203536 0.255226i
\(567\) 15.9445 + 17.6853i 0.669608 + 0.742715i
\(568\) −20.0472 25.1384i −0.841161 1.05478i
\(569\) −12.4841 −0.523362 −0.261681 0.965154i \(-0.584277\pi\)
−0.261681 + 0.965154i \(0.584277\pi\)
\(570\) −10.0316 11.0763i −0.420179 0.463936i
\(571\) −12.1794 15.2725i −0.509692 0.639133i 0.458693 0.888595i \(-0.348318\pi\)
−0.968385 + 0.249462i \(0.919746\pi\)
\(572\) 39.5957 + 12.2137i 1.65558 + 0.510679i
\(573\) −6.88919 23.3288i −0.287800 0.974574i
\(574\) −0.293059 + 0.462789i −0.0122321 + 0.0193165i
\(575\) −2.13913 + 1.03015i −0.0892079 + 0.0429603i
\(576\) 31.8536 20.6106i 1.32723 0.858777i
\(577\) −2.13216 + 28.4517i −0.0887631 + 1.18446i 0.757914 + 0.652354i \(0.226219\pi\)
−0.846677 + 0.532107i \(0.821400\pi\)
\(578\) 17.5758 16.3080i 0.731057 0.678322i
\(579\) −12.9599 43.8860i −0.538594 1.82384i
\(580\) −32.3737 + 9.98597i −1.34425 + 0.414645i
\(581\) 2.75557 3.17941i 0.114320 0.131904i
\(582\) 0.0512231 + 0.109730i 0.00212327 + 0.00454844i
\(583\) −1.93234 + 8.46614i −0.0800294 + 0.350632i
\(584\) 9.52568 + 24.2710i 0.394175 + 1.00434i
\(585\) −21.1121 7.07382i −0.872877 0.292467i
\(586\) 28.6926 + 19.5623i 1.18528 + 0.808110i
\(587\) −1.22363 + 2.11938i −0.0505044 + 0.0874762i −0.890172 0.455624i \(-0.849416\pi\)
0.839668 + 0.543100i \(0.182750\pi\)
\(588\) −14.1834 38.2687i −0.584915 1.57818i
\(589\) −1.59878 2.76917i −0.0658766 0.114102i
\(590\) −4.59929 + 61.3733i −0.189350 + 2.52670i
\(591\) 1.00123 0.562079i 0.0411850 0.0231209i
\(592\) 5.41170 + 0.815683i 0.222420 + 0.0335244i
\(593\) 30.1917 9.31290i 1.23982 0.382435i 0.395599 0.918424i \(-0.370537\pi\)
0.844225 + 0.535989i \(0.180061\pi\)
\(594\) 7.37651 39.2528i 0.302662 1.61056i
\(595\) −26.0957 9.23415i −1.06982 0.378563i
\(596\) −58.8912 54.6431i −2.41228 2.23827i
\(597\) 27.8588 + 6.71284i 1.14019 + 0.274738i
\(598\) −4.55101 19.9393i −0.186105 0.815377i
\(599\) 18.8465 9.07599i 0.770047 0.370835i −0.00724609 0.999974i \(-0.502307\pi\)
0.777293 + 0.629139i \(0.216592\pi\)
\(600\) −5.11427 + 1.93640i −0.208789 + 0.0790532i
\(601\) 1.88661 25.1750i 0.0769563 1.02691i −0.816378 0.577518i \(-0.804021\pi\)
0.893334 0.449393i \(-0.148360\pi\)
\(602\) −24.2631 + 10.4847i −0.988889 + 0.427325i
\(603\) −11.1047 + 18.2059i −0.452218 + 0.741401i
\(604\) −50.7880 + 47.1243i −2.06653 + 1.91746i
\(605\) 0.00727796 0.0185439i 0.000295891 0.000753918i
\(606\) −17.5969 + 54.6983i −0.714825 + 2.22197i
\(607\) −0.573980 + 0.994162i −0.0232971 + 0.0403518i −0.877439 0.479688i \(-0.840750\pi\)
0.854142 + 0.520040i \(0.174083\pi\)
\(608\) −3.36167 + 8.56540i −0.136334 + 0.347373i
\(609\) −13.9769 + 18.3339i −0.566371 + 0.742928i
\(610\) −11.3572 28.9376i −0.459839 1.17165i
\(611\) −35.5290 5.35514i −1.43735 0.216646i
\(612\) 25.2962 + 46.3601i 1.02254 + 1.87400i
\(613\) 38.0021 25.9094i 1.53489 1.04647i 0.558749 0.829337i \(-0.311282\pi\)
0.976142 0.217134i \(-0.0696708\pi\)
\(614\) 33.0086 41.3915i 1.33212 1.67043i
\(615\) −0.309089 + 0.0194200i −0.0124637 + 0.000783092i
\(616\) −14.8638 + 23.4724i −0.598879 + 0.945730i
\(617\) −7.13357 + 18.1760i −0.287187 + 0.731740i 0.712365 + 0.701809i \(0.247624\pi\)
−0.999552 + 0.0299311i \(0.990471\pi\)
\(618\) −50.0345 + 10.7873i −2.01268 + 0.433929i
\(619\) 7.65077 + 13.2515i 0.307510 + 0.532624i 0.977817 0.209461i \(-0.0671708\pi\)
−0.670307 + 0.742084i \(0.733837\pi\)
\(620\) 11.4372 1.72388i 0.459330 0.0692328i
\(621\) −11.6670 + 4.09874i −0.468180 + 0.164477i
\(622\) −43.6098 21.0014i −1.74859 0.842078i
\(623\) 12.9423 + 37.4073i 0.518521 + 1.49869i
\(624\) −0.527509 3.81090i −0.0211173 0.152558i
\(625\) 18.8040 2.83425i 0.752161 0.113370i
\(626\) 69.9333 33.6781i 2.79510 1.34605i
\(627\) 4.52585 + 9.69523i 0.180745 + 0.387190i
\(628\) 39.5384 + 19.0407i 1.57775 + 0.759806i
\(629\) 10.6373 46.6051i 0.424137 1.85827i
\(630\) 20.4227 30.5938i 0.813662 1.21888i
\(631\) −2.22630 9.75404i −0.0886275 0.388302i 0.911087 0.412215i \(-0.135245\pi\)
−0.999714 + 0.0239128i \(0.992388\pi\)
\(632\) −7.21949 + 31.6307i −0.287176 + 1.25820i
\(633\) 13.7001 + 20.6241i 0.544529 + 0.819732i
\(634\) 3.08220 13.5040i 0.122410 0.536313i
\(635\) 1.21959 16.2744i 0.0483981 0.645828i
\(636\) 14.9159 3.21583i 0.591455 0.127516i
\(637\) 25.8821 + 2.12229i 1.02549 + 0.0840880i
\(638\) 38.6688 1.53091
\(639\) −10.4484 28.6329i −0.413332 1.13270i
\(640\) −28.4670 26.4135i −1.12526 1.04409i
\(641\) −24.9721 3.76394i −0.986340 0.148667i −0.363987 0.931404i \(-0.618585\pi\)
−0.622352 + 0.782737i \(0.713823\pi\)
\(642\) 38.8887 + 23.0818i 1.53482 + 0.910964i
\(643\) −11.9403 + 11.0790i −0.470879 + 0.436912i −0.879576 0.475758i \(-0.842174\pi\)
0.408697 + 0.912670i \(0.365983\pi\)
\(644\) 21.1772 + 0.866792i 0.834499 + 0.0341564i
\(645\) −12.8507 7.62730i −0.505995 0.300325i
\(646\) −20.3205 9.78584i −0.799500 0.385019i
\(647\) −14.2196 4.38617i −0.559031 0.172438i 0.00234758 0.999997i \(-0.499253\pi\)
−0.561379 + 0.827559i \(0.689729\pi\)
\(648\) −27.5900 + 7.07398i −1.08384 + 0.277892i
\(649\) 16.0989 41.0194i 0.631939 1.61015i
\(650\) 0.640713 8.54973i 0.0251308 0.335348i
\(651\) 5.65138 5.47819i 0.221495 0.214707i
\(652\) 2.90734 + 38.7957i 0.113860 + 1.51936i
\(653\) −6.60262 2.03664i −0.258380 0.0796998i 0.162859 0.986649i \(-0.447929\pi\)
−0.421239 + 0.906950i \(0.638405\pi\)
\(654\) 34.6429 + 28.3165i 1.35464 + 1.10726i
\(655\) −15.2976 26.4962i −0.597727 1.03529i
\(656\) −0.0267561 0.0463429i −0.00104465 0.00180939i
\(657\) 1.25246 + 24.6846i 0.0488630 + 0.963037i
\(658\) 23.9278 54.3225i 0.932804 2.11771i
\(659\) 0.412373 + 1.05071i 0.0160638 + 0.0409298i 0.938681 0.344788i \(-0.112049\pi\)
−0.922617 + 0.385718i \(0.873954\pi\)
\(660\) −38.6270 + 2.42693i −1.50355 + 0.0944680i
\(661\) 9.71117 + 4.67665i 0.377721 + 0.181901i 0.613104 0.790002i \(-0.289920\pi\)
−0.235384 + 0.971902i \(0.575635\pi\)
\(662\) −35.8674 17.2728i −1.39403 0.671327i
\(663\) −33.5384 + 2.10721i −1.30252 + 0.0818374i
\(664\) 1.83862 + 4.68474i 0.0713525 + 0.181803i
\(665\) 0.333915 + 9.84849i 0.0129487 + 0.381908i
\(666\) 56.5517 + 28.9332i 2.19133 + 1.12114i
\(667\) −5.98624 10.3685i −0.231788 0.401469i
\(668\) 9.37177 + 16.2324i 0.362605 + 0.628050i
\(669\) −9.44726 7.72203i −0.365252 0.298551i
\(670\) 31.4794 + 9.71012i 1.21616 + 0.375135i
\(671\) 1.66330 + 22.1952i 0.0642111 + 0.856837i
\(672\) −22.4647 2.88580i −0.866593 0.111322i
\(673\) 2.27968 30.4202i 0.0878751 1.17261i −0.762698 0.646755i \(-0.776126\pi\)
0.850573 0.525857i \(-0.176255\pi\)
\(674\) 21.1431 53.8717i 0.814401 2.07506i
\(675\) −5.18009 + 0.200272i −0.199382 + 0.00770846i
\(676\) 2.45431 + 0.757053i 0.0943964 + 0.0291174i
\(677\) −16.5239 7.95750i −0.635066 0.305831i 0.0885114 0.996075i \(-0.471789\pi\)
−0.723577 + 0.690244i \(0.757503\pi\)
\(678\) −23.0977 13.7092i −0.887060 0.526500i
\(679\) 0.0209378 0.0770587i 0.000803518 0.00295724i
\(680\) 24.2721 22.5212i 0.930792 0.863649i
\(681\) −9.59989 5.69786i −0.367869 0.218342i
\(682\) −13.0543 1.96762i −0.499874 0.0753439i
\(683\) −27.7301 25.7297i −1.06106 0.984521i −0.0611541 0.998128i \(-0.519478\pi\)
−0.999907 + 0.0136071i \(0.995669\pi\)
\(684\) 12.0728 14.4120i 0.461615 0.551057i
\(685\) −25.1633 −0.961439
\(686\) −14.5950 + 40.3433i −0.557240 + 1.54031i
\(687\) −2.57542 + 0.555253i −0.0982583 + 0.0211842i
\(688\) 0.192960 2.57488i 0.00735654 0.0981663i
\(689\) −2.16047 + 9.46563i −0.0823073 + 0.360612i
\(690\) 10.5700 + 15.9121i 0.402393 + 0.605762i
\(691\) −3.22197 + 14.1164i −0.122569 + 0.537011i 0.875939 + 0.482421i \(0.160242\pi\)
−0.998509 + 0.0545904i \(0.982615\pi\)
\(692\) −15.8664 69.5151i −0.603149 2.64257i
\(693\) −20.4292 + 16.6215i −0.776043 + 0.631398i
\(694\) −9.23833 + 40.4758i −0.350682 + 1.53644i
\(695\) −4.59610 2.21337i −0.174340 0.0839577i
\(696\) −11.6645 24.9875i −0.442141 0.947150i
\(697\) −0.421125 + 0.202803i −0.0159513 + 0.00768172i
\(698\) 55.5037 8.36584i 2.10085 0.316652i
\(699\) 4.92956 + 35.6127i 0.186453 + 1.34700i
\(700\) 8.37618 + 2.96397i 0.316590 + 0.112028i
\(701\) 28.3092 + 13.6330i 1.06923 + 0.514912i 0.883857 0.467757i \(-0.154938\pi\)
0.185368 + 0.982669i \(0.440652\pi\)
\(702\) 8.24736 43.8868i 0.311277 1.65640i
\(703\) −16.8273 + 2.53631i −0.634655 + 0.0956589i
\(704\) 20.9817 + 36.3413i 0.790776 + 1.36966i
\(705\) 32.8063 7.07295i 1.23556 0.266383i
\(706\) −5.98965 + 15.2614i −0.225424 + 0.574370i
\(707\) 32.1522 20.0456i 1.20921 0.753894i
\(708\) −77.2763 + 4.85526i −2.90422 + 0.182472i
\(709\) −11.0619 + 13.8712i −0.415437 + 0.520942i −0.944886 0.327400i \(-0.893828\pi\)
0.529448 + 0.848342i \(0.322399\pi\)
\(710\) −38.9031 + 26.5237i −1.46001 + 0.995416i
\(711\) −16.0152 + 26.2566i −0.600618 + 0.984701i
\(712\) −46.8182 7.05671i −1.75459 0.264462i
\(713\) 1.49332 + 3.80491i 0.0559252 + 0.142495i
\(714\) 11.1687 54.3814i 0.417976 2.03517i
\(715\) 8.99716 22.9244i 0.336475 0.857323i
\(716\) 22.5192 39.0044i 0.841581 1.45766i
\(717\) −2.94267 + 9.14701i −0.109896 + 0.341601i
\(718\) −21.2787 + 54.2173i −0.794115 + 2.02337i
\(719\) 2.84818 2.64273i 0.106219 0.0985570i −0.625276 0.780404i \(-0.715013\pi\)
0.731495 + 0.681847i \(0.238823\pi\)
\(720\) 1.72119 + 3.15441i 0.0641449 + 0.117558i
\(721\) 29.7847 + 15.8756i 1.10924 + 0.591237i
\(722\) 2.68913 35.8839i 0.100079 1.33546i
\(723\) 3.55706 1.34680i 0.132289 0.0500880i
\(724\) 47.1525 22.7075i 1.75241 0.843916i
\(725\) −1.11683 4.89315i −0.0414780 0.181727i
\(726\) 0.0388411 + 0.00935912i 0.00144153 + 0.000347349i
\(727\) −22.5343 20.9088i −0.835752 0.775464i 0.140961 0.990015i \(-0.454981\pi\)
−0.976713 + 0.214551i \(0.931171\pi\)
\(728\) −16.6186 + 26.2435i −0.615925 + 0.972648i
\(729\) −26.9294 1.95079i −0.997386 0.0722515i
\(730\) 36.4851 11.2542i 1.35037 0.416535i
\(731\) −22.3020 3.36148i −0.824869 0.124329i
\(732\) 34.1028 19.1450i 1.26047 0.707618i
\(733\) 2.40366 32.0746i 0.0887812 1.18470i −0.757816 0.652468i \(-0.773734\pi\)
0.846597 0.532234i \(-0.178647\pi\)
\(734\) 4.43227 + 7.67691i 0.163598 + 0.283360i
\(735\) −23.3103 + 6.70630i −0.859814 + 0.247366i
\(736\) 5.88115 10.1865i 0.216782 0.375478i
\(737\) −19.4882 13.2868i −0.717858 0.489427i
\(738\) −0.123577 0.608701i −0.00454892 0.0224066i
\(739\) 3.57398 + 9.10635i 0.131471 + 0.334982i 0.981417 0.191887i \(-0.0614608\pi\)
−0.849946 + 0.526870i \(0.823366\pi\)
\(740\) 13.6976 60.0131i 0.503533 2.20612i
\(741\) 5.06016 + 10.8398i 0.185889 + 0.398210i
\(742\) −14.1547 7.54463i −0.519637 0.276972i
\(743\) −6.23213 + 1.92236i −0.228635 + 0.0705245i −0.406956 0.913448i \(-0.633410\pi\)
0.178321 + 0.983972i \(0.442933\pi\)
\(744\) 2.66637 + 9.02911i 0.0977539 + 0.331023i
\(745\) −35.0004 + 32.4756i −1.28231 + 1.18981i
\(746\) 5.77022 76.9982i 0.211263 2.81910i
\(747\) 0.241747 + 4.76456i 0.00884504 + 0.174326i
\(748\) −52.6281 + 25.3444i −1.92428 + 0.926682i
\(749\) −9.75027 28.1814i −0.356267 1.02972i
\(750\) 13.6349 + 46.1716i 0.497875 + 1.68595i
\(751\) −2.25335 0.695067i −0.0822260 0.0253634i 0.253369 0.967370i \(-0.418461\pi\)
−0.335595 + 0.942006i \(0.608937\pi\)
\(752\) 3.61548 + 4.53366i 0.131843 + 0.165326i
\(753\) −4.54643 5.01989i −0.165681 0.182935i
\(754\) 43.2339 1.57449
\(755\) 25.6731 + 32.1930i 0.934338 + 1.17162i
\(756\) 41.6486 + 20.1733i 1.51475 + 0.733695i
\(757\) −8.40387 + 10.5381i −0.305444 + 0.383014i −0.910736 0.412989i \(-0.864485\pi\)
0.605292 + 0.796003i \(0.293056\pi\)
\(758\) 0.961733 1.20597i 0.0349317 0.0438030i
\(759\) −3.87366 13.1173i −0.140605 0.476129i
\(760\) −10.6198 5.11420i −0.385219 0.185512i
\(761\) 17.7552 + 45.2396i 0.643627 + 1.63994i 0.762471 + 0.647022i \(0.223986\pi\)
−0.118844 + 0.992913i \(0.537919\pi\)
\(762\) 32.6663 2.05242i 1.18337 0.0743513i
\(763\) −5.38345 29.0089i −0.194894 1.05019i
\(764\) −29.4749 36.9604i −1.06636 1.33718i
\(765\) 28.5993 12.9330i 1.03401 0.467595i
\(766\) −16.8310 + 29.1522i −0.608129 + 1.05331i
\(767\) 17.9995 45.8621i 0.649926 1.65598i
\(768\) 19.5322 27.9195i 0.704808 1.00746i
\(769\) −0.651071 8.68793i −0.0234782 0.313295i −0.996562 0.0828452i \(-0.973599\pi\)
0.973084 0.230450i \(-0.0740197\pi\)
\(770\) 32.6499 + 24.2741i 1.17662 + 0.874777i
\(771\) 33.2613 25.8754i 1.19788