Properties

Label 546.2.bi.e.17.4
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.4
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.4

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-1.31411 + 1.12832i) q^{3} +1.00000 q^{4} +(1.62172 - 0.936303i) q^{5} +(1.31411 - 1.12832i) q^{6} +(2.04281 - 1.68135i) q^{7} -1.00000 q^{8} +(0.453768 - 2.96548i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-1.31411 + 1.12832i) q^{3} +1.00000 q^{4} +(1.62172 - 0.936303i) q^{5} +(1.31411 - 1.12832i) q^{6} +(2.04281 - 1.68135i) q^{7} -1.00000 q^{8} +(0.453768 - 2.96548i) q^{9} +(-1.62172 + 0.936303i) q^{10} +(-2.54994 - 4.41662i) q^{11} +(-1.31411 + 1.12832i) q^{12} +(-3.20727 + 1.64725i) q^{13} +(-2.04281 + 1.68135i) q^{14} +(-1.07467 + 3.06024i) q^{15} +1.00000 q^{16} -2.96212 q^{17} +(-0.453768 + 2.96548i) q^{18} +(-1.30077 + 2.25300i) q^{19} +(1.62172 - 0.936303i) q^{20} +(-0.787372 + 4.51443i) q^{21} +(2.54994 + 4.41662i) q^{22} -6.06950i q^{23} +(1.31411 - 1.12832i) q^{24} +(-0.746672 + 1.29327i) q^{25} +(3.20727 - 1.64725i) q^{26} +(2.74973 + 4.40897i) q^{27} +(2.04281 - 1.68135i) q^{28} +(-7.30144 - 4.21549i) q^{29} +(1.07467 - 3.06024i) q^{30} +(4.09797 - 7.09789i) q^{31} -1.00000 q^{32} +(8.33428 + 2.92677i) q^{33} +2.96212 q^{34} +(1.73863 - 4.63937i) q^{35} +(0.453768 - 2.96548i) q^{36} +6.37656i q^{37} +(1.30077 - 2.25300i) q^{38} +(2.35607 - 5.78351i) q^{39} +(-1.62172 + 0.936303i) q^{40} +(-4.85500 - 2.80304i) q^{41} +(0.787372 - 4.51443i) q^{42} +(-4.87733 - 8.44778i) q^{43} +(-2.54994 - 4.41662i) q^{44} +(-2.04071 - 5.23406i) q^{45} +6.06950i q^{46} +(2.70708 - 1.56293i) q^{47} +(-1.31411 + 1.12832i) q^{48} +(1.34615 - 6.86934i) q^{49} +(0.746672 - 1.29327i) q^{50} +(3.89256 - 3.34224i) q^{51} +(-3.20727 + 1.64725i) q^{52} +(8.21797 + 4.74465i) q^{53} +(-2.74973 - 4.40897i) q^{54} +(-8.27059 - 4.77503i) q^{55} +(-2.04281 + 1.68135i) q^{56} +(-0.832761 - 4.42838i) q^{57} +(7.30144 + 4.21549i) q^{58} -2.20283i q^{59} +(-1.07467 + 3.06024i) q^{60} +(5.11154 + 2.95115i) q^{61} +(-4.09797 + 7.09789i) q^{62} +(-4.05904 - 6.82086i) q^{63} +1.00000 q^{64} +(-3.65898 + 5.67436i) q^{65} +(-8.33428 - 2.92677i) q^{66} +(9.56582 - 5.52283i) q^{67} -2.96212 q^{68} +(6.84837 + 7.97599i) q^{69} +(-1.73863 + 4.63937i) q^{70} +(7.27923 + 12.6080i) q^{71} +(-0.453768 + 2.96548i) q^{72} +(1.99779 - 3.46027i) q^{73} -6.37656i q^{74} +(-0.478024 - 2.54199i) q^{75} +(-1.30077 + 2.25300i) q^{76} +(-12.6349 - 4.73499i) q^{77} +(-2.35607 + 5.78351i) q^{78} +(-5.14630 - 8.91365i) q^{79} +(1.62172 - 0.936303i) q^{80} +(-8.58819 - 2.69128i) q^{81} +(4.85500 + 2.80304i) q^{82} +9.63409i q^{83} +(-0.787372 + 4.51443i) q^{84} +(-4.80375 + 2.77345i) q^{85} +(4.87733 + 8.44778i) q^{86} +(14.3513 - 2.69878i) q^{87} +(2.54994 + 4.41662i) q^{88} -14.7628i q^{89} +(2.04071 + 5.23406i) q^{90} +(-3.78224 + 8.75755i) q^{91} -6.06950i q^{92} +(2.62354 + 13.9512i) q^{93} +(-2.70708 + 1.56293i) q^{94} +4.87167i q^{95} +(1.31411 - 1.12832i) q^{96} +(5.83860 + 10.1127i) q^{97} +(-1.34615 + 6.86934i) q^{98} +(-14.2545 + 5.55768i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) −1.31411 + 1.12832i −0.758701 + 0.651438i
\(4\) 1.00000 0.500000
\(5\) 1.62172 0.936303i 0.725257 0.418728i −0.0914273 0.995812i \(-0.529143\pi\)
0.816685 + 0.577084i \(0.195810\pi\)
\(6\) 1.31411 1.12832i 0.536483 0.460637i
\(7\) 2.04281 1.68135i 0.772110 0.635489i
\(8\) −1.00000 −0.353553
\(9\) 0.453768 2.96548i 0.151256 0.988495i
\(10\) −1.62172 + 0.936303i −0.512834 + 0.296085i
\(11\) −2.54994 4.41662i −0.768835 1.33166i −0.938195 0.346107i \(-0.887503\pi\)
0.169360 0.985554i \(-0.445830\pi\)
\(12\) −1.31411 + 1.12832i −0.379351 + 0.325719i
\(13\) −3.20727 + 1.64725i −0.889536 + 0.456865i
\(14\) −2.04281 + 1.68135i −0.545964 + 0.449359i
\(15\) −1.07467 + 3.06024i −0.277479 + 0.790150i
\(16\) 1.00000 0.250000
\(17\) −2.96212 −0.718421 −0.359210 0.933257i \(-0.616954\pi\)
−0.359210 + 0.933257i \(0.616954\pi\)
\(18\) −0.453768 + 2.96548i −0.106954 + 0.698971i
\(19\) −1.30077 + 2.25300i −0.298417 + 0.516874i −0.975774 0.218781i \(-0.929792\pi\)
0.677357 + 0.735655i \(0.263125\pi\)
\(20\) 1.62172 0.936303i 0.362629 0.209364i
\(21\) −0.787372 + 4.51443i −0.171819 + 0.985129i
\(22\) 2.54994 + 4.41662i 0.543648 + 0.941627i
\(23\) 6.06950i 1.26558i −0.774324 0.632789i \(-0.781910\pi\)
0.774324 0.632789i \(-0.218090\pi\)
\(24\) 1.31411 1.12832i 0.268241 0.230318i
\(25\) −0.746672 + 1.29327i −0.149334 + 0.258655i
\(26\) 3.20727 1.64725i 0.628997 0.323053i
\(27\) 2.74973 + 4.40897i 0.529185 + 0.848506i
\(28\) 2.04281 1.68135i 0.386055 0.317745i
\(29\) −7.30144 4.21549i −1.35584 0.782796i −0.366782 0.930307i \(-0.619541\pi\)
−0.989060 + 0.147511i \(0.952874\pi\)
\(30\) 1.07467 3.06024i 0.196207 0.558720i
\(31\) 4.09797 7.09789i 0.736017 1.27482i −0.218258 0.975891i \(-0.570038\pi\)
0.954276 0.298928i \(-0.0966291\pi\)
\(32\) −1.00000 −0.176777
\(33\) 8.33428 + 2.92677i 1.45081 + 0.509485i
\(34\) 2.96212 0.508000
\(35\) 1.73863 4.63937i 0.293881 0.784197i
\(36\) 0.453768 2.96548i 0.0756279 0.494247i
\(37\) 6.37656i 1.04830i 0.851626 + 0.524150i \(0.175617\pi\)
−0.851626 + 0.524150i \(0.824383\pi\)
\(38\) 1.30077 2.25300i 0.211013 0.365485i
\(39\) 2.35607 5.78351i 0.377273 0.926102i
\(40\) −1.62172 + 0.936303i −0.256417 + 0.148043i
\(41\) −4.85500 2.80304i −0.758223 0.437761i 0.0704341 0.997516i \(-0.477562\pi\)
−0.828658 + 0.559756i \(0.810895\pi\)
\(42\) 0.787372 4.51443i 0.121494 0.696591i
\(43\) −4.87733 8.44778i −0.743786 1.28827i −0.950760 0.309928i \(-0.899695\pi\)
0.206974 0.978346i \(-0.433638\pi\)
\(44\) −2.54994 4.41662i −0.384417 0.665831i
\(45\) −2.04071 5.23406i −0.304211 0.780248i
\(46\) 6.06950i 0.894899i
\(47\) 2.70708 1.56293i 0.394868 0.227977i −0.289400 0.957208i \(-0.593456\pi\)
0.684267 + 0.729232i \(0.260122\pi\)
\(48\) −1.31411 + 1.12832i −0.189675 + 0.162860i
\(49\) 1.34615 6.86934i 0.192307 0.981335i
\(50\) 0.746672 1.29327i 0.105595 0.182897i
\(51\) 3.89256 3.34224i 0.545067 0.468007i
\(52\) −3.20727 + 1.64725i −0.444768 + 0.228433i
\(53\) 8.21797 + 4.74465i 1.12883 + 0.651728i 0.943639 0.330976i \(-0.107378\pi\)
0.185186 + 0.982703i \(0.440711\pi\)
\(54\) −2.74973 4.40897i −0.374191 0.599985i
\(55\) −8.27059 4.77503i −1.11521 0.643865i
\(56\) −2.04281 + 1.68135i −0.272982 + 0.224679i
\(57\) −0.832761 4.42838i −0.110302 0.586554i
\(58\) 7.30144 + 4.21549i 0.958726 + 0.553520i
\(59\) 2.20283i 0.286784i −0.989666 0.143392i \(-0.954199\pi\)
0.989666 0.143392i \(-0.0458009\pi\)
\(60\) −1.07467 + 3.06024i −0.138739 + 0.395075i
\(61\) 5.11154 + 2.95115i 0.654466 + 0.377856i 0.790165 0.612894i \(-0.209995\pi\)
−0.135699 + 0.990750i \(0.543328\pi\)
\(62\) −4.09797 + 7.09789i −0.520443 + 0.901433i
\(63\) −4.05904 6.82086i −0.511392 0.859348i
\(64\) 1.00000 0.125000
\(65\) −3.65898 + 5.67436i −0.453840 + 0.703818i
\(66\) −8.33428 2.92677i −1.02588 0.360260i
\(67\) 9.56582 5.52283i 1.16865 0.674721i 0.215289 0.976550i \(-0.430931\pi\)
0.953362 + 0.301830i \(0.0975975\pi\)
\(68\) −2.96212 −0.359210
\(69\) 6.84837 + 7.97599i 0.824447 + 0.960196i
\(70\) −1.73863 + 4.63937i −0.207806 + 0.554511i
\(71\) 7.27923 + 12.6080i 0.863886 + 1.49629i 0.868149 + 0.496303i \(0.165310\pi\)
−0.00426326 + 0.999991i \(0.501357\pi\)
\(72\) −0.453768 + 2.96548i −0.0534770 + 0.349486i
\(73\) 1.99779 3.46027i 0.233823 0.404994i −0.725107 0.688636i \(-0.758210\pi\)
0.958930 + 0.283643i \(0.0915429\pi\)
\(74\) 6.37656i 0.741260i
\(75\) −0.478024 2.54199i −0.0551975 0.293524i
\(76\) −1.30077 + 2.25300i −0.149209 + 0.258437i
\(77\) −12.6349 4.73499i −1.43988 0.539602i
\(78\) −2.35607 + 5.78351i −0.266772 + 0.654853i
\(79\) −5.14630 8.91365i −0.579004 1.00286i −0.995594 0.0937696i \(-0.970108\pi\)
0.416590 0.909094i \(-0.363225\pi\)
\(80\) 1.62172 0.936303i 0.181314 0.104682i
\(81\) −8.58819 2.69128i −0.954243 0.299031i
\(82\) 4.85500 + 2.80304i 0.536145 + 0.309543i
\(83\) 9.63409i 1.05748i 0.848784 + 0.528739i \(0.177335\pi\)
−0.848784 + 0.528739i \(0.822665\pi\)
\(84\) −0.787372 + 4.51443i −0.0859094 + 0.492564i
\(85\) −4.80375 + 2.77345i −0.521040 + 0.300823i
\(86\) 4.87733 + 8.44778i 0.525936 + 0.910948i
\(87\) 14.3513 2.69878i 1.53862 0.289340i
\(88\) 2.54994 + 4.41662i 0.271824 + 0.470813i
\(89\) 14.7628i 1.56486i −0.622741 0.782428i \(-0.713981\pi\)
0.622741 0.782428i \(-0.286019\pi\)
\(90\) 2.04071 + 5.23406i 0.215109 + 0.551719i
\(91\) −3.78224 + 8.75755i −0.396486 + 0.918041i
\(92\) 6.06950i 0.632789i
\(93\) 2.62354 + 13.9512i 0.272049 + 1.44668i
\(94\) −2.70708 + 1.56293i −0.279214 + 0.161204i
\(95\) 4.87167i 0.499822i
\(96\) 1.31411 1.12832i 0.134121 0.115159i
\(97\) 5.83860 + 10.1127i 0.592820 + 1.02679i 0.993851 + 0.110729i \(0.0353187\pi\)
−0.401031 + 0.916065i \(0.631348\pi\)
\(98\) −1.34615 + 6.86934i −0.135982 + 0.693909i
\(99\) −14.2545 + 5.55768i −1.43263 + 0.558568i
\(100\) −0.746672 + 1.29327i −0.0746672 + 0.129327i
\(101\) 3.15026 + 5.45640i 0.313462 + 0.542932i 0.979109 0.203334i \(-0.0651778\pi\)
−0.665647 + 0.746267i \(0.731844\pi\)
\(102\) −3.89256 + 3.34224i −0.385420 + 0.330931i
\(103\) 4.99182 2.88203i 0.491859 0.283975i −0.233486 0.972360i \(-0.575013\pi\)
0.725345 + 0.688385i \(0.241680\pi\)
\(104\) 3.20727 1.64725i 0.314498 0.161526i
\(105\) 2.94997 + 8.05838i 0.287888 + 0.786417i
\(106\) −8.21797 4.74465i −0.798200 0.460841i
\(107\) 6.14671i 0.594225i −0.954842 0.297113i \(-0.903976\pi\)
0.954842 0.297113i \(-0.0960237\pi\)
\(108\) 2.74973 + 4.40897i 0.264593 + 0.424253i
\(109\) −10.8967 6.29124i −1.04372 0.602591i −0.122834 0.992427i \(-0.539198\pi\)
−0.920884 + 0.389836i \(0.872532\pi\)
\(110\) 8.27059 + 4.77503i 0.788570 + 0.455281i
\(111\) −7.19483 8.37950i −0.682903 0.795347i
\(112\) 2.04281 1.68135i 0.193027 0.158872i
\(113\) −1.92741 + 1.11279i −0.181316 + 0.104683i −0.587911 0.808926i \(-0.700049\pi\)
0.406595 + 0.913609i \(0.366716\pi\)
\(114\) 0.832761 + 4.42838i 0.0779953 + 0.414756i
\(115\) −5.68289 9.84306i −0.529933 0.917870i
\(116\) −7.30144 4.21549i −0.677921 0.391398i
\(117\) 3.42954 + 10.2586i 0.317061 + 0.948405i
\(118\) 2.20283i 0.202787i
\(119\) −6.05106 + 4.98036i −0.554700 + 0.456549i
\(120\) 1.07467 3.06024i 0.0981035 0.279360i
\(121\) −7.50436 + 12.9979i −0.682214 + 1.18163i
\(122\) −5.11154 2.95115i −0.462777 0.267185i
\(123\) 9.54273 1.79452i 0.860439 0.161806i
\(124\) 4.09797 7.09789i 0.368009 0.637410i
\(125\) 12.1595i 1.08758i
\(126\) 4.05904 + 6.82086i 0.361608 + 0.607651i
\(127\) −3.67232 + 6.36064i −0.325866 + 0.564416i −0.981687 0.190500i \(-0.938989\pi\)
0.655822 + 0.754916i \(0.272322\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 15.9412 + 5.59810i 1.40354 + 0.492885i
\(130\) 3.65898 5.67436i 0.320914 0.497675i
\(131\) 0.465541 + 0.806340i 0.0406745 + 0.0704503i 0.885646 0.464361i \(-0.153716\pi\)
−0.844971 + 0.534811i \(0.820383\pi\)
\(132\) 8.33428 + 2.92677i 0.725406 + 0.254742i
\(133\) 1.13085 + 6.78950i 0.0980569 + 0.588725i
\(134\) −9.56582 + 5.52283i −0.826361 + 0.477100i
\(135\) 8.58743 + 4.57555i 0.739089 + 0.393801i
\(136\) 2.96212 0.254000
\(137\) −2.15714 −0.184297 −0.0921483 0.995745i \(-0.529373\pi\)
−0.0921483 + 0.995745i \(0.529373\pi\)
\(138\) −6.84837 7.97599i −0.582972 0.678961i
\(139\) 7.18997 4.15113i 0.609845 0.352094i −0.163060 0.986616i \(-0.552136\pi\)
0.772905 + 0.634522i \(0.218803\pi\)
\(140\) 1.73863 4.63937i 0.146941 0.392098i
\(141\) −1.79390 + 5.10832i −0.151074 + 0.430198i
\(142\) −7.27923 12.6080i −0.610860 1.05804i
\(143\) 15.4536 + 9.96490i 1.29230 + 0.833307i
\(144\) 0.453768 2.96548i 0.0378140 0.247124i
\(145\) −15.7879 −1.31111
\(146\) −1.99779 + 3.46027i −0.165338 + 0.286374i
\(147\) 5.98186 + 10.5460i 0.493376 + 0.869816i
\(148\) 6.37656i 0.524150i
\(149\) 1.97912 3.42793i 0.162136 0.280827i −0.773499 0.633798i \(-0.781495\pi\)
0.935634 + 0.352971i \(0.114828\pi\)
\(150\) 0.478024 + 2.54199i 0.0390305 + 0.207553i
\(151\) 4.82241 + 2.78422i 0.392442 + 0.226576i 0.683218 0.730215i \(-0.260580\pi\)
−0.290776 + 0.956791i \(0.593913\pi\)
\(152\) 1.30077 2.25300i 0.105506 0.182743i
\(153\) −1.34412 + 8.78413i −0.108665 + 0.710155i
\(154\) 12.6349 + 4.73499i 1.01815 + 0.381556i
\(155\) 15.3478i 1.23276i
\(156\) 2.35607 5.78351i 0.188636 0.463051i
\(157\) 6.31098 + 3.64365i 0.503671 + 0.290795i 0.730228 0.683203i \(-0.239414\pi\)
−0.226557 + 0.973998i \(0.572747\pi\)
\(158\) 5.14630 + 8.91365i 0.409418 + 0.709132i
\(159\) −16.1528 + 3.03755i −1.28100 + 0.240894i
\(160\) −1.62172 + 0.936303i −0.128209 + 0.0740213i
\(161\) −10.2049 12.3988i −0.804262 0.977166i
\(162\) 8.58819 + 2.69128i 0.674752 + 0.211447i
\(163\) −17.1552 9.90456i −1.34370 0.775785i −0.356351 0.934352i \(-0.615979\pi\)
−0.987348 + 0.158567i \(0.949313\pi\)
\(164\) −4.85500 2.80304i −0.379112 0.218880i
\(165\) 16.2562 3.05700i 1.26555 0.237987i
\(166\) 9.63409i 0.747750i
\(167\) 13.0891 + 7.55698i 1.01286 + 0.584777i 0.912029 0.410126i \(-0.134515\pi\)
0.100834 + 0.994903i \(0.467849\pi\)
\(168\) 0.787372 4.51443i 0.0607471 0.348296i
\(169\) 7.57313 10.5663i 0.582548 0.812796i
\(170\) 4.80375 2.77345i 0.368431 0.212714i
\(171\) 6.09099 + 4.87976i 0.465790 + 0.373164i
\(172\) −4.87733 8.44778i −0.371893 0.644137i
\(173\) 9.62713 16.6747i 0.731937 1.26775i −0.224117 0.974562i \(-0.571950\pi\)
0.956054 0.293190i \(-0.0947169\pi\)
\(174\) −14.3513 + 2.69878i −1.08797 + 0.204594i
\(175\) 0.649132 + 3.89733i 0.0490698 + 0.294610i
\(176\) −2.54994 4.41662i −0.192209 0.332915i
\(177\) 2.48551 + 2.89476i 0.186822 + 0.217583i
\(178\) 14.7628i 1.10652i
\(179\) −4.65318 + 2.68651i −0.347795 + 0.200800i −0.663714 0.747987i \(-0.731021\pi\)
0.315919 + 0.948786i \(0.397687\pi\)
\(180\) −2.04071 5.23406i −0.152105 0.390124i
\(181\) 11.3131i 0.840893i 0.907317 + 0.420446i \(0.138126\pi\)
−0.907317 + 0.420446i \(0.861874\pi\)
\(182\) 3.78224 8.75755i 0.280358 0.649153i
\(183\) −10.0470 + 1.88934i −0.742694 + 0.139664i
\(184\) 6.06950i 0.447450i
\(185\) 5.97039 + 10.3410i 0.438952 + 0.760287i
\(186\) −2.62354 13.9512i −0.192368 1.02296i
\(187\) 7.55323 + 13.0826i 0.552347 + 0.956693i
\(188\) 2.70708 1.56293i 0.197434 0.113988i
\(189\) 13.0302 + 4.38344i 0.947806 + 0.318848i
\(190\) 4.87167i 0.353428i
\(191\) −2.74863 1.58692i −0.198884 0.114826i 0.397251 0.917710i \(-0.369964\pi\)
−0.596135 + 0.802884i \(0.703298\pi\)
\(192\) −1.31411 + 1.12832i −0.0948377 + 0.0814298i
\(193\) 0.181273 0.104658i 0.0130483 0.00753344i −0.493462 0.869768i \(-0.664269\pi\)
0.506510 + 0.862234i \(0.330935\pi\)
\(194\) −5.83860 10.1127i −0.419187 0.726053i
\(195\) −1.59422 11.5852i −0.114165 0.829637i
\(196\) 1.34615 6.86934i 0.0961535 0.490667i
\(197\) −9.71998 + 16.8355i −0.692520 + 1.19948i 0.278490 + 0.960439i \(0.410166\pi\)
−0.971010 + 0.239040i \(0.923167\pi\)
\(198\) 14.2545 5.55768i 1.01302 0.394967i
\(199\) 14.4539i 1.02461i −0.858803 0.512306i \(-0.828791\pi\)
0.858803 0.512306i \(-0.171209\pi\)
\(200\) 0.746672 1.29327i 0.0527977 0.0914483i
\(201\) −6.33899 + 18.0509i −0.447118 + 1.27322i
\(202\) −3.15026 5.45640i −0.221651 0.383911i
\(203\) −22.0031 + 3.66480i −1.54432 + 0.257219i
\(204\) 3.89256 3.34224i 0.272533 0.234003i
\(205\) −10.4980 −0.733210
\(206\) −4.99182 + 2.88203i −0.347797 + 0.200801i
\(207\) −17.9990 2.75414i −1.25102 0.191426i
\(208\) −3.20727 + 1.64725i −0.222384 + 0.114216i
\(209\) 13.2675 0.917735
\(210\) −2.94997 8.05838i −0.203567 0.556081i
\(211\) 5.78954 10.0278i 0.398568 0.690341i −0.594981 0.803740i \(-0.702840\pi\)
0.993550 + 0.113399i \(0.0361738\pi\)
\(212\) 8.21797 + 4.74465i 0.564413 + 0.325864i
\(213\) −23.7916 8.35496i −1.63018 0.572472i
\(214\) 6.14671i 0.420181i
\(215\) −15.8194 9.13332i −1.07887 0.622887i
\(216\) −2.74973 4.40897i −0.187095 0.299992i
\(217\) −3.56264 21.3898i −0.241848 1.45203i
\(218\) 10.8967 + 6.29124i 0.738020 + 0.426096i
\(219\) 1.27900 + 6.80132i 0.0864265 + 0.459591i
\(220\) −8.27059 4.77503i −0.557603 0.321932i
\(221\) 9.50032 4.87936i 0.639061 0.328221i
\(222\) 7.19483 + 8.37950i 0.482885 + 0.562395i
\(223\) −3.33759 + 5.78088i −0.223502 + 0.387116i −0.955869 0.293794i \(-0.905082\pi\)
0.732367 + 0.680910i \(0.238416\pi\)
\(224\) −2.04281 + 1.68135i −0.136491 + 0.112340i
\(225\) 3.49637 + 2.80109i 0.233091 + 0.186739i
\(226\) 1.92741 1.11279i 0.128210 0.0740219i
\(227\) 18.4820i 1.22669i 0.789814 + 0.613346i \(0.210177\pi\)
−0.789814 + 0.613346i \(0.789823\pi\)
\(228\) −0.832761 4.42838i −0.0551510 0.293277i
\(229\) −0.100542 0.174145i −0.00664403 0.0115078i 0.862684 0.505743i \(-0.168782\pi\)
−0.869328 + 0.494235i \(0.835448\pi\)
\(230\) 5.68289 + 9.84306i 0.374719 + 0.649032i
\(231\) 21.9463 8.03398i 1.44396 0.528597i
\(232\) 7.30144 + 4.21549i 0.479363 + 0.276760i
\(233\) 11.1073 6.41280i 0.727663 0.420116i −0.0899037 0.995950i \(-0.528656\pi\)
0.817567 + 0.575834i \(0.195323\pi\)
\(234\) −3.42954 10.2586i −0.224196 0.670624i
\(235\) 2.92675 5.06929i 0.190920 0.330684i
\(236\) 2.20283i 0.143392i
\(237\) 16.8203 + 5.90682i 1.09260 + 0.383689i
\(238\) 6.05106 4.98036i 0.392232 0.322829i
\(239\) −30.2795 −1.95862 −0.979311 0.202363i \(-0.935138\pi\)
−0.979311 + 0.202363i \(0.935138\pi\)
\(240\) −1.07467 + 3.06024i −0.0693697 + 0.197537i
\(241\) 8.34511 0.537556 0.268778 0.963202i \(-0.413380\pi\)
0.268778 + 0.963202i \(0.413380\pi\)
\(242\) 7.50436 12.9979i 0.482398 0.835538i
\(243\) 14.3225 6.15363i 0.918786 0.394755i
\(244\) 5.11154 + 2.95115i 0.327233 + 0.188928i
\(245\) −4.24871 12.4006i −0.271440 0.792245i
\(246\) −9.54273 + 1.79452i −0.608422 + 0.114414i
\(247\) 0.460662 9.36868i 0.0293112 0.596115i
\(248\) −4.09797 + 7.09789i −0.260221 + 0.450717i
\(249\) −10.8704 12.6602i −0.688882 0.802311i
\(250\) 12.1595i 0.769033i
\(251\) −0.325183 0.563233i −0.0205253 0.0355509i 0.855580 0.517670i \(-0.173201\pi\)
−0.876106 + 0.482119i \(0.839867\pi\)
\(252\) −4.05904 6.82086i −0.255696 0.429674i
\(253\) −26.8067 + 15.4768i −1.68532 + 0.973021i
\(254\) 3.67232 6.36064i 0.230422 0.399102i
\(255\) 3.18331 9.06480i 0.199346 0.567660i
\(256\) 1.00000 0.0625000
\(257\) 7.41850 0.462753 0.231377 0.972864i \(-0.425677\pi\)
0.231377 + 0.972864i \(0.425677\pi\)
\(258\) −15.9412 5.59810i −0.992455 0.348522i
\(259\) 10.7212 + 13.0261i 0.666183 + 0.809403i
\(260\) −3.65898 + 5.67436i −0.226920 + 0.351909i
\(261\) −15.8141 + 19.7394i −0.978869 + 1.22184i
\(262\) −0.465541 0.806340i −0.0287612 0.0498159i
\(263\) 17.3650 10.0257i 1.07077 0.618209i 0.142378 0.989812i \(-0.454525\pi\)
0.928392 + 0.371603i \(0.121192\pi\)
\(264\) −8.33428 2.92677i −0.512939 0.180130i
\(265\) 17.7697 1.09159
\(266\) −1.13085 6.78950i −0.0693367 0.416291i
\(267\) 16.6573 + 19.4000i 1.01941 + 1.18726i
\(268\) 9.56582 5.52283i 0.584325 0.337360i
\(269\) −12.4850 −0.761225 −0.380612 0.924735i \(-0.624287\pi\)
−0.380612 + 0.924735i \(0.624287\pi\)
\(270\) −8.58743 4.57555i −0.522615 0.278459i
\(271\) −2.87931 −0.174906 −0.0874530 0.996169i \(-0.527873\pi\)
−0.0874530 + 0.996169i \(0.527873\pi\)
\(272\) −2.96212 −0.179605
\(273\) −4.91108 15.7760i −0.297232 0.954805i
\(274\) 2.15714 0.130317
\(275\) 7.61587 0.459254
\(276\) 6.84837 + 7.97599i 0.412223 + 0.480098i
\(277\) 8.00292 0.480849 0.240424 0.970668i \(-0.422713\pi\)
0.240424 + 0.970668i \(0.422713\pi\)
\(278\) −7.18997 + 4.15113i −0.431226 + 0.248968i
\(279\) −19.1892 15.3733i −1.14883 0.920373i
\(280\) −1.73863 + 4.63937i −0.103903 + 0.277255i
\(281\) 6.16209 0.367599 0.183800 0.982964i \(-0.441160\pi\)
0.183800 + 0.982964i \(0.441160\pi\)
\(282\) 1.79390 5.10832i 0.106825 0.304196i
\(283\) −11.9016 + 6.87141i −0.707478 + 0.408463i −0.810127 0.586255i \(-0.800602\pi\)
0.102648 + 0.994718i \(0.467268\pi\)
\(284\) 7.27923 + 12.6080i 0.431943 + 0.748147i
\(285\) −5.49682 6.40190i −0.325604 0.379216i
\(286\) −15.4536 9.96490i −0.913791 0.589237i
\(287\) −14.6307 + 2.43687i −0.863624 + 0.143844i
\(288\) −0.453768 + 2.96548i −0.0267385 + 0.174743i
\(289\) −8.22582 −0.483872
\(290\) 15.7879 0.927097
\(291\) −19.0830 6.70142i −1.11867 0.392844i
\(292\) 1.99779 3.46027i 0.116912 0.202497i
\(293\) 4.43117 2.55834i 0.258872 0.149460i −0.364948 0.931028i \(-0.618913\pi\)
0.623820 + 0.781568i \(0.285580\pi\)
\(294\) −5.98186 10.5460i −0.348869 0.615053i
\(295\) −2.06252 3.57238i −0.120084 0.207992i
\(296\) 6.37656i 0.370630i
\(297\) 12.4611 23.3871i 0.723067 1.35706i
\(298\) −1.97912 + 3.42793i −0.114647 + 0.198575i
\(299\) 9.99799 + 19.4665i 0.578199 + 1.12578i
\(300\) −0.478024 2.54199i −0.0275987 0.146762i
\(301\) −24.1671 9.05674i −1.39297 0.522022i
\(302\) −4.82241 2.78422i −0.277498 0.160214i
\(303\) −10.2964 3.61580i −0.591511 0.207722i
\(304\) −1.30077 + 2.25300i −0.0746044 + 0.129219i
\(305\) 11.0527 0.632875
\(306\) 1.34412 8.78413i 0.0768380 0.502155i
\(307\) 1.12751 0.0643502 0.0321751 0.999482i \(-0.489757\pi\)
0.0321751 + 0.999482i \(0.489757\pi\)
\(308\) −12.6349 4.73499i −0.719941 0.269801i
\(309\) −3.30794 + 9.41970i −0.188182 + 0.535868i
\(310\) 15.3478i 0.871695i
\(311\) 5.59744 9.69505i 0.317402 0.549756i −0.662543 0.749023i \(-0.730523\pi\)
0.979945 + 0.199268i \(0.0638563\pi\)
\(312\) −2.35607 + 5.78351i −0.133386 + 0.327427i
\(313\) 28.1564 16.2561i 1.59150 0.918850i 0.598444 0.801165i \(-0.295786\pi\)
0.993051 0.117686i \(-0.0375475\pi\)
\(314\) −6.31098 3.64365i −0.356149 0.205623i
\(315\) −12.9690 7.26106i −0.730723 0.409115i
\(316\) −5.14630 8.91365i −0.289502 0.501432i
\(317\) 12.7161 + 22.0249i 0.714206 + 1.23704i 0.963265 + 0.268553i \(0.0865456\pi\)
−0.249058 + 0.968488i \(0.580121\pi\)
\(318\) 16.1528 3.03755i 0.905805 0.170337i
\(319\) 42.9969i 2.40736i
\(320\) 1.62172 0.936303i 0.0906572 0.0523409i
\(321\) 6.93549 + 8.07745i 0.387101 + 0.450840i
\(322\) 10.2049 + 12.3988i 0.568699 + 0.690960i
\(323\) 3.85305 6.67367i 0.214389 0.371333i
\(324\) −8.58819 2.69128i −0.477122 0.149516i
\(325\) 0.264430 5.37783i 0.0146680 0.298309i
\(326\) 17.1552 + 9.90456i 0.950139 + 0.548563i
\(327\) 21.4181 4.02769i 1.18442 0.222732i
\(328\) 4.85500 + 2.80304i 0.268072 + 0.154772i
\(329\) 2.90221 7.74430i 0.160004 0.426957i
\(330\) −16.2562 + 3.05700i −0.894877 + 0.168282i
\(331\) −6.22337 3.59306i −0.342067 0.197493i 0.319119 0.947715i \(-0.396613\pi\)
−0.661186 + 0.750222i \(0.729947\pi\)
\(332\) 9.63409i 0.528739i
\(333\) 18.9096 + 2.89348i 1.03624 + 0.158561i
\(334\) −13.0891 7.55698i −0.716202 0.413500i
\(335\) 10.3421 17.9130i 0.565048 0.978692i
\(336\) −0.787372 + 4.51443i −0.0429547 + 0.246282i
\(337\) 19.2711 1.04976 0.524882 0.851175i \(-0.324109\pi\)
0.524882 + 0.851175i \(0.324109\pi\)
\(338\) −7.57313 + 10.5663i −0.411924 + 0.574734i
\(339\) 1.27724 3.63708i 0.0693703 0.197539i
\(340\) −4.80375 + 2.77345i −0.260520 + 0.150411i
\(341\) −41.7983 −2.26350
\(342\) −6.09099 4.87976i −0.329363 0.263867i
\(343\) −8.79982 16.2961i −0.475146 0.879907i
\(344\) 4.87733 + 8.44778i 0.262968 + 0.455474i
\(345\) 18.5741 + 6.52271i 0.999997 + 0.351171i
\(346\) −9.62713 + 16.6747i −0.517558 + 0.896436i
\(347\) 7.79589i 0.418505i −0.977862 0.209253i \(-0.932897\pi\)
0.977862 0.209253i \(-0.0671031\pi\)
\(348\) 14.3513 2.69878i 0.769312 0.144670i
\(349\) 7.17103 12.4206i 0.383857 0.664859i −0.607753 0.794126i \(-0.707929\pi\)
0.991610 + 0.129267i \(0.0412623\pi\)
\(350\) −0.649132 3.89733i −0.0346976 0.208321i
\(351\) −16.0818 9.61125i −0.858382 0.513010i
\(352\) 2.54994 + 4.41662i 0.135912 + 0.235407i
\(353\) −22.0306 + 12.7194i −1.17257 + 0.676985i −0.954285 0.298900i \(-0.903380\pi\)
−0.218288 + 0.975884i \(0.570047\pi\)
\(354\) −2.48551 2.89476i −0.132103 0.153855i
\(355\) 23.6098 + 13.6311i 1.25308 + 0.723466i
\(356\) 14.7628i 0.782428i
\(357\) 2.33229 13.3723i 0.123438 0.707737i
\(358\) 4.65318 2.68651i 0.245928 0.141987i
\(359\) −4.87490 8.44358i −0.257288 0.445635i 0.708227 0.705985i \(-0.249495\pi\)
−0.965514 + 0.260350i \(0.916162\pi\)
\(360\) 2.04071 + 5.23406i 0.107555 + 0.275859i
\(361\) 6.11599 + 10.5932i 0.321894 + 0.557537i
\(362\) 11.3131i 0.594601i
\(363\) −4.80433 25.5481i −0.252162 1.34092i
\(364\) −3.78224 + 8.75755i −0.198243 + 0.459020i
\(365\) 7.48214i 0.391633i
\(366\) 10.0470 1.88934i 0.525164 0.0987576i
\(367\) −12.5943 + 7.27133i −0.657418 + 0.379560i −0.791292 0.611438i \(-0.790591\pi\)
0.133875 + 0.990998i \(0.457258\pi\)
\(368\) 6.06950i 0.316395i
\(369\) −10.5154 + 13.1255i −0.547410 + 0.683286i
\(370\) −5.97039 10.3410i −0.310386 0.537604i
\(371\) 24.7652 4.12484i 1.28574 0.214151i
\(372\) 2.62354 + 13.9512i 0.136024 + 0.723339i
\(373\) 6.87679 11.9109i 0.356067 0.616725i −0.631233 0.775593i \(-0.717451\pi\)
0.987300 + 0.158868i \(0.0507843\pi\)
\(374\) −7.55323 13.0826i −0.390568 0.676484i
\(375\) −13.7198 15.9789i −0.708489 0.825146i
\(376\) −2.70708 + 1.56293i −0.139607 + 0.0806020i
\(377\) 30.3616 + 1.49289i 1.56370 + 0.0768879i
\(378\) −13.0302 4.38344i −0.670200 0.225460i
\(379\) 25.1138 + 14.4995i 1.29001 + 0.744788i 0.978656 0.205505i \(-0.0658838\pi\)
0.311355 + 0.950294i \(0.399217\pi\)
\(380\) 4.87167i 0.249911i
\(381\) −2.35104 12.5022i −0.120447 0.640505i
\(382\) 2.74863 + 1.58692i 0.140632 + 0.0811939i
\(383\) 4.84882 + 2.79947i 0.247763 + 0.143046i 0.618740 0.785596i \(-0.287644\pi\)
−0.370977 + 0.928642i \(0.620977\pi\)
\(384\) 1.31411 1.12832i 0.0670604 0.0575796i
\(385\) −24.9237 + 4.15125i −1.27023 + 0.211567i
\(386\) −0.181273 + 0.104658i −0.00922654 + 0.00532695i
\(387\) −27.2649 + 10.6303i −1.38595 + 0.540369i
\(388\) 5.83860 + 10.1127i 0.296410 + 0.513397i
\(389\) 4.31018 + 2.48848i 0.218535 + 0.126171i 0.605272 0.796019i \(-0.293065\pi\)
−0.386737 + 0.922190i \(0.626398\pi\)
\(390\) 1.59422 + 11.5852i 0.0807267 + 0.586642i
\(391\) 17.9786i 0.909218i
\(392\) −1.34615 + 6.86934i −0.0679908 + 0.346954i
\(393\) −1.52158 0.534338i −0.0767538 0.0269538i
\(394\) 9.71998 16.8355i 0.489685 0.848160i
\(395\) −16.6918 9.63699i −0.839854 0.484890i
\(396\) −14.2545 + 5.55768i −0.716315 + 0.279284i
\(397\) 8.11912 14.0627i 0.407487 0.705788i −0.587120 0.809500i \(-0.699738\pi\)
0.994607 + 0.103711i \(0.0330718\pi\)
\(398\) 14.4539i 0.724510i
\(399\) −9.14682 7.64619i −0.457914 0.382788i
\(400\) −0.746672 + 1.29327i −0.0373336 + 0.0646637i
\(401\) 6.92045 0.345591 0.172795 0.984958i \(-0.444720\pi\)
0.172795 + 0.984958i \(0.444720\pi\)
\(402\) 6.33899 18.0509i 0.316160 0.900299i
\(403\) −1.45128 + 29.5152i −0.0722932 + 1.47026i
\(404\) 3.15026 + 5.45640i 0.156731 + 0.271466i
\(405\) −16.4475 + 3.67663i −0.817285 + 0.182693i
\(406\) 22.0031 3.66480i 1.09200 0.181881i
\(407\) 28.1628 16.2598i 1.39598 0.805970i
\(408\) −3.89256 + 3.34224i −0.192710 + 0.165465i
\(409\) 11.3829 0.562849 0.281425 0.959583i \(-0.409193\pi\)
0.281425 + 0.959583i \(0.409193\pi\)
\(410\) 10.4980 0.518457
\(411\) 2.83471 2.43395i 0.139826 0.120058i
\(412\) 4.99182 2.88203i 0.245930 0.141987i
\(413\) −3.70372 4.49996i −0.182248 0.221429i
\(414\) 17.9990 + 2.75414i 0.884603 + 0.135359i
\(415\) 9.02043 + 15.6238i 0.442795 + 0.766944i
\(416\) 3.20727 1.64725i 0.157249 0.0807631i
\(417\) −4.76458 + 13.5677i −0.233323 + 0.664411i
\(418\) −13.2675 −0.648937
\(419\) −4.51941 + 7.82784i −0.220788 + 0.382415i −0.955047 0.296453i \(-0.904196\pi\)
0.734260 + 0.678869i \(0.237529\pi\)
\(420\) 2.94997 + 8.05838i 0.143944 + 0.393209i
\(421\) 3.07453i 0.149844i 0.997189 + 0.0749218i \(0.0238707\pi\)
−0.997189 + 0.0749218i \(0.976129\pi\)
\(422\) −5.78954 + 10.0278i −0.281830 + 0.488145i
\(423\) −3.40646 8.73700i −0.165628 0.424807i
\(424\) −8.21797 4.74465i −0.399100 0.230421i
\(425\) 2.21174 3.83084i 0.107285 0.185823i
\(426\) 23.7916 + 8.35496i 1.15271 + 0.404799i
\(427\) 15.4038 2.56563i 0.745443 0.124160i
\(428\) 6.14671i 0.297113i
\(429\) −31.5514 + 4.34172i −1.52331 + 0.209620i
\(430\) 15.8194 + 9.13332i 0.762878 + 0.440448i
\(431\) 11.6404 + 20.1618i 0.560700 + 0.971160i 0.997436 + 0.0715705i \(0.0228011\pi\)
−0.436736 + 0.899590i \(0.643866\pi\)
\(432\) 2.74973 + 4.40897i 0.132296 + 0.212127i
\(433\) −23.9459 + 13.8252i −1.15077 + 0.664396i −0.949074 0.315053i \(-0.897978\pi\)
−0.201693 + 0.979449i \(0.564644\pi\)
\(434\) 3.56264 + 21.3898i 0.171012 + 1.02674i
\(435\) 20.7470 17.8139i 0.994744 0.854110i
\(436\) −10.8967 6.29124i −0.521859 0.301296i
\(437\) 13.6746 + 7.89503i 0.654145 + 0.377671i
\(438\) −1.27900 6.80132i −0.0611128 0.324980i
\(439\) 4.37253i 0.208690i 0.994541 + 0.104345i \(0.0332746\pi\)
−0.994541 + 0.104345i \(0.966725\pi\)
\(440\) 8.27059 + 4.77503i 0.394285 + 0.227641i
\(441\) −19.7601 7.10907i −0.940957 0.338527i
\(442\) −9.50032 + 4.87936i −0.451884 + 0.232088i
\(443\) −2.31071 + 1.33409i −0.109785 + 0.0633846i −0.553887 0.832592i \(-0.686856\pi\)
0.444102 + 0.895976i \(0.353523\pi\)
\(444\) −7.19483 8.37950i −0.341451 0.397673i
\(445\) −13.8225 23.9412i −0.655248 1.13492i
\(446\) 3.33759 5.78088i 0.158040 0.273733i
\(447\) 1.26704 + 6.73777i 0.0599291 + 0.318685i
\(448\) 2.04281 1.68135i 0.0965137 0.0794361i
\(449\) −7.64162 13.2357i −0.360630 0.624630i 0.627434 0.778670i \(-0.284105\pi\)
−0.988065 + 0.154039i \(0.950772\pi\)
\(450\) −3.49637 2.80109i −0.164820 0.132045i
\(451\) 28.5903i 1.34626i
\(452\) −1.92741 + 1.11279i −0.0906580 + 0.0523414i
\(453\) −9.47867 + 1.78247i −0.445347 + 0.0837478i
\(454\) 18.4820i 0.867402i
\(455\) 2.06597 + 17.7437i 0.0968541 + 0.831835i
\(456\) 0.832761 + 4.42838i 0.0389976 + 0.207378i
\(457\) 6.93705i 0.324502i 0.986750 + 0.162251i \(0.0518754\pi\)
−0.986750 + 0.162251i \(0.948125\pi\)
\(458\) 0.100542 + 0.174145i 0.00469804 + 0.00813724i
\(459\) −8.14504 13.0599i −0.380178 0.609584i
\(460\) −5.68289 9.84306i −0.264966 0.458935i
\(461\) −17.6491 + 10.1897i −0.822001 + 0.474582i −0.851106 0.524994i \(-0.824068\pi\)
0.0291053 + 0.999576i \(0.490734\pi\)
\(462\) −21.9463 + 8.03398i −1.02103 + 0.373774i
\(463\) 22.4244i 1.04215i −0.853511 0.521075i \(-0.825531\pi\)
0.853511 0.521075i \(-0.174469\pi\)
\(464\) −7.30144 4.21549i −0.338961 0.195699i
\(465\) 17.3173 + 20.1687i 0.803069 + 0.935299i
\(466\) −11.1073 + 6.41280i −0.514535 + 0.297067i
\(467\) 9.83436 + 17.0336i 0.455080 + 0.788221i 0.998693 0.0511146i \(-0.0162774\pi\)
−0.543613 + 0.839336i \(0.682944\pi\)
\(468\) 3.42954 + 10.2586i 0.158531 + 0.474203i
\(469\) 10.2554 27.3655i 0.473549 1.26362i
\(470\) −2.92675 + 5.06929i −0.135001 + 0.233829i
\(471\) −12.4045 + 2.33268i −0.571571 + 0.107484i
\(472\) 2.20283i 0.101393i
\(473\) −24.8738 + 43.0826i −1.14370 + 1.98094i
\(474\) −16.8203 5.90682i −0.772582 0.271309i
\(475\) −1.94250 3.36451i −0.0891280 0.154374i
\(476\) −6.05106 + 4.98036i −0.277350 + 0.228274i
\(477\) 17.7992 22.2173i 0.814971 1.01726i
\(478\) 30.2795 1.38495
\(479\) 16.4723 9.51026i 0.752637 0.434535i −0.0740090 0.997258i \(-0.523579\pi\)
0.826646 + 0.562722i \(0.190246\pi\)
\(480\) 1.07467 3.06024i 0.0490518 0.139680i
\(481\) −10.5038 20.4513i −0.478932 0.932500i
\(482\) −8.34511 −0.380109
\(483\) 27.4003 + 4.77896i 1.24676 + 0.217450i
\(484\) −7.50436 + 12.9979i −0.341107 + 0.590815i
\(485\) 18.9372 + 10.9334i 0.859894 + 0.496460i
\(486\) −14.3225 + 6.15363i −0.649680 + 0.279134i
\(487\) 22.4738i 1.01838i −0.860653 0.509192i \(-0.829944\pi\)
0.860653 0.509192i \(-0.170056\pi\)
\(488\) −5.11154 2.95115i −0.231389 0.133592i
\(489\) 33.7194 6.34096i 1.52484 0.286748i
\(490\) 4.24871 + 12.4006i 0.191937 + 0.560201i
\(491\) −25.7148 14.8464i −1.16049 0.670010i −0.209069 0.977901i \(-0.567043\pi\)
−0.951422 + 0.307891i \(0.900377\pi\)
\(492\) 9.54273 1.79452i 0.430220 0.0809032i
\(493\) 21.6278 + 12.4868i 0.974065 + 0.562377i
\(494\) −0.460662 + 9.36868i −0.0207261 + 0.421517i
\(495\) −17.9132 + 22.3596i −0.805138 + 1.00499i
\(496\) 4.09797 7.09789i 0.184004 0.318705i
\(497\) 36.0685 + 13.5168i 1.61789 + 0.606313i
\(498\) 10.8704 + 12.6602i 0.487113 + 0.567319i
\(499\) 6.50477 3.75553i 0.291193 0.168121i −0.347287 0.937759i \(-0.612897\pi\)
0.638480 + 0.769638i \(0.279564\pi\)
\(500\) 12.1595i 0.543788i
\(501\) −25.7272 + 4.83802i −1.14941 + 0.216147i
\(502\) 0.325183 + 0.563233i 0.0145136 + 0.0251383i
\(503\) 14.6024 + 25.2921i 0.651089 + 1.12772i 0.982859 + 0.184358i \(0.0590207\pi\)
−0.331770 + 0.943360i \(0.607646\pi\)
\(504\) 4.05904 + 6.82086i 0.180804 + 0.303825i
\(505\) 10.2177 + 5.89919i 0.454682 + 0.262511i
\(506\) 26.8067 15.4768i 1.19170 0.688030i
\(507\) 1.97035 + 22.4303i 0.0875063 + 0.996164i
\(508\) −3.67232 + 6.36064i −0.162933 + 0.282208i
\(509\) 38.2320i 1.69460i 0.531113 + 0.847301i \(0.321774\pi\)
−0.531113 + 0.847301i \(0.678226\pi\)
\(510\) −3.18331 + 9.06480i −0.140959 + 0.401396i
\(511\) −1.73681 10.4276i −0.0768320 0.461292i
\(512\) −1.00000 −0.0441942
\(513\) −13.5102 + 0.460084i −0.596489 + 0.0203132i
\(514\) −7.41850 −0.327216
\(515\) 5.39691 9.34772i 0.237816 0.411910i
\(516\) 15.9412 + 5.59810i 0.701771 + 0.246443i
\(517\) −13.8057 7.97075i −0.607176 0.350553i
\(518\) −10.7212 13.0261i −0.471063 0.572334i
\(519\) 6.16335 + 32.7749i 0.270541 + 1.43866i
\(520\) 3.65898 5.67436i 0.160457 0.248837i
\(521\) −1.01347 + 1.75537i −0.0444008 + 0.0769044i −0.887372 0.461055i \(-0.847471\pi\)
0.842971 + 0.537959i \(0.180805\pi\)
\(522\) 15.8141 19.7394i 0.692165 0.863972i
\(523\) 14.9844i 0.655221i 0.944813 + 0.327610i \(0.106243\pi\)
−0.944813 + 0.327610i \(0.893757\pi\)
\(524\) 0.465541 + 0.806340i 0.0203372 + 0.0352251i
\(525\) −5.25048 4.38909i −0.229150 0.191555i
\(526\) −17.3650 + 10.0257i −0.757149 + 0.437140i
\(527\) −12.1387 + 21.0248i −0.528770 + 0.915856i
\(528\) 8.33428 + 2.92677i 0.362703 + 0.127371i
\(529\) −13.8389 −0.601690
\(530\) −17.7697 −0.771867
\(531\) −6.53245 0.999572i −0.283484 0.0433777i
\(532\) 1.13085 + 6.78950i 0.0490285 + 0.294362i
\(533\) 20.1886 + 0.992681i 0.874465 + 0.0429978i
\(534\) −16.6573 19.4000i −0.720830 0.839518i
\(535\) −5.75519 9.96828i −0.248818 0.430966i
\(536\) −9.56582 + 5.52283i −0.413180 + 0.238550i
\(537\) 3.08353 8.78067i 0.133064 0.378914i
\(538\) 12.4850 0.538267
\(539\) −33.7719 + 11.5710i −1.45466 + 0.498397i
\(540\) 8.58743 + 4.57555i 0.369544 + 0.196900i
\(541\) −0.930484 + 0.537215i −0.0400046 + 0.0230967i −0.519869 0.854246i \(-0.674019\pi\)
0.479864 + 0.877343i \(0.340686\pi\)
\(542\) 2.87931 0.123677
\(543\) −12.7648 14.8666i −0.547790 0.637986i
\(544\) 2.96212 0.127000
\(545\) −23.5620 −1.00929
\(546\) 4.91108 + 15.7760i 0.210175 + 0.675149i
\(547\) −26.8765 −1.14916 −0.574578 0.818450i \(-0.694834\pi\)
−0.574578 + 0.818450i \(0.694834\pi\)
\(548\) −2.15714 −0.0921483
\(549\) 11.0710 13.8191i 0.472500 0.589783i
\(550\) −7.61587 −0.324742
\(551\) 18.9950 10.9668i 0.809214 0.467200i
\(552\) −6.84837 7.97599i −0.291486 0.339481i
\(553\) −25.4998 9.55619i −1.08436 0.406370i
\(554\) −8.00292 −0.340011
\(555\) −19.5138 6.85270i −0.828314 0.290881i
\(556\) 7.18997 4.15113i 0.304922 0.176047i
\(557\) 13.5744 + 23.5116i 0.575167 + 0.996219i 0.996023 + 0.0890918i \(0.0283965\pi\)
−0.420856 + 0.907127i \(0.638270\pi\)
\(558\) 19.1892 + 15.3733i 0.812342 + 0.650802i
\(559\) 29.5585 + 19.0601i 1.25019 + 0.806157i
\(560\) 1.73863 4.63937i 0.0734704 0.196049i
\(561\) −24.6872 8.66945i −1.04229 0.366024i
\(562\) −6.16209 −0.259932
\(563\) −16.3087 −0.687329 −0.343664 0.939093i \(-0.611668\pi\)
−0.343664 + 0.939093i \(0.611668\pi\)
\(564\) −1.79390 + 5.10832i −0.0755368 + 0.215099i
\(565\) −2.08382 + 3.60929i −0.0876671 + 0.151844i
\(566\) 11.9016 6.87141i 0.500263 0.288827i
\(567\) −22.0690 + 8.94195i −0.926812 + 0.375526i
\(568\) −7.27923 12.6080i −0.305430 0.529020i
\(569\) 26.1439i 1.09601i −0.836475 0.548005i \(-0.815388\pi\)
0.836475 0.548005i \(-0.184612\pi\)
\(570\) 5.49682 + 6.40190i 0.230236 + 0.268146i
\(571\) −0.114124 + 0.197668i −0.00477593 + 0.00827215i −0.868403 0.495858i \(-0.834854\pi\)
0.863628 + 0.504130i \(0.168187\pi\)
\(572\) 15.4536 + 9.96490i 0.646148 + 0.416653i
\(573\) 5.40256 1.01596i 0.225695 0.0424422i
\(574\) 14.6307 2.43687i 0.610674 0.101713i
\(575\) 7.84953 + 4.53193i 0.327348 + 0.188995i
\(576\) 0.453768 2.96548i 0.0189070 0.123562i
\(577\) −8.82331 + 15.2824i −0.367319 + 0.636215i −0.989145 0.146940i \(-0.953058\pi\)
0.621826 + 0.783155i \(0.286391\pi\)
\(578\) 8.22582 0.342149
\(579\) −0.120124 + 0.342066i −0.00499219 + 0.0142158i
\(580\) −15.7879 −0.655557
\(581\) 16.1982 + 19.6806i 0.672016 + 0.816490i
\(582\) 19.0830 + 6.70142i 0.791016 + 0.277783i
\(583\) 48.3942i 2.00428i
\(584\) −1.99779 + 3.46027i −0.0826690 + 0.143187i
\(585\) 15.1669 + 13.4255i 0.627074 + 0.555075i
\(586\) −4.43117 + 2.55834i −0.183050 + 0.105684i
\(587\) −13.2115 7.62767i −0.545298 0.314828i 0.201926 0.979401i \(-0.435280\pi\)
−0.747223 + 0.664573i \(0.768613\pi\)
\(588\) 5.98186 + 10.5460i 0.246688 + 0.434908i
\(589\) 10.6610 + 18.4655i 0.439281 + 0.760857i
\(590\) 2.06252 + 3.57238i 0.0849124 + 0.147073i
\(591\) −6.22279 33.0910i −0.255971 1.36118i
\(592\) 6.37656i 0.262075i
\(593\) −0.0222995 + 0.0128746i −0.000915730 + 0.000528697i −0.500458 0.865761i \(-0.666835\pi\)
0.499542 + 0.866290i \(0.333502\pi\)
\(594\) −12.4611 + 23.3871i −0.511285 + 0.959584i
\(595\) −5.15003 + 13.7424i −0.211131 + 0.563383i
\(596\) 1.97912 3.42793i 0.0810678 0.140414i
\(597\) 16.3087 + 18.9940i 0.667471 + 0.777374i
\(598\) −9.99799 19.4665i −0.408848 0.796045i
\(599\) −21.8300 12.6035i −0.891949 0.514967i −0.0173692 0.999849i \(-0.505529\pi\)
−0.874579 + 0.484882i \(0.838862\pi\)
\(600\) 0.478024 + 2.54199i 0.0195153 + 0.103776i
\(601\) −15.4945 8.94574i −0.632033 0.364904i 0.149506 0.988761i \(-0.452232\pi\)
−0.781539 + 0.623856i \(0.785565\pi\)
\(602\) 24.1671 + 9.05674i 0.984978 + 0.369125i
\(603\) −12.0372 30.8734i −0.490192 1.25726i
\(604\) 4.82241 + 2.78422i 0.196221 + 0.113288i
\(605\) 28.1054i 1.14265i
\(606\) 10.2964 + 3.61580i 0.418262 + 0.146882i
\(607\) −22.8924 13.2169i −0.929175 0.536459i −0.0426244 0.999091i \(-0.513572\pi\)
−0.886551 + 0.462632i \(0.846905\pi\)
\(608\) 1.30077 2.25300i 0.0527532 0.0913713i
\(609\) 24.7795 29.6426i 1.00411 1.20118i
\(610\) −11.0527 −0.447510
\(611\) −6.10778 + 9.47197i −0.247094 + 0.383195i
\(612\) −1.34412 + 8.78413i −0.0543327 + 0.355077i
\(613\) −7.14521 + 4.12529i −0.288593 + 0.166619i −0.637307 0.770610i \(-0.719952\pi\)
0.348714 + 0.937229i \(0.386618\pi\)
\(614\) −1.12751 −0.0455024
\(615\) 13.7955 11.8451i 0.556287 0.477641i
\(616\) 12.6349 + 4.73499i 0.509075 + 0.190778i
\(617\) −2.53770 4.39542i −0.102164 0.176953i 0.810412 0.585860i \(-0.199243\pi\)
−0.912576 + 0.408907i \(0.865910\pi\)
\(618\) 3.30794 9.41970i 0.133065 0.378916i
\(619\) 14.6995 25.4603i 0.590822 1.02333i −0.403300 0.915068i \(-0.632137\pi\)
0.994122 0.108266i \(-0.0345298\pi\)
\(620\) 15.3478i 0.616381i
\(621\) 26.7602 16.6895i 1.07385 0.669726i
\(622\) −5.59744 + 9.69505i −0.224437 + 0.388736i
\(623\) −24.8214 30.1576i −0.994449 1.20824i
\(624\) 2.35607 5.78351i 0.0943182 0.231526i
\(625\) 7.65160 + 13.2530i 0.306064 + 0.530118i
\(626\) −28.1564 + 16.2561i −1.12536 + 0.649725i
\(627\) −17.4350 + 14.9701i −0.696287 + 0.597848i
\(628\) 6.31098 + 3.64365i 0.251836 + 0.145397i
\(629\) 18.8882i 0.753120i
\(630\) 12.9690 + 7.26106i 0.516699 + 0.289288i
\(631\) 31.4596 18.1632i 1.25239 0.723066i 0.280804 0.959765i \(-0.409399\pi\)
0.971583 + 0.236699i \(0.0760655\pi\)
\(632\) 5.14630 + 8.91365i 0.204709 + 0.354566i
\(633\) 3.70650 + 19.7101i 0.147320 + 0.783405i
\(634\) −12.7161 22.0249i −0.505020 0.874721i
\(635\) 13.7536i 0.545796i
\(636\) −16.1528 + 3.03755i −0.640501 + 0.120447i
\(637\) 6.99807 + 24.2493i 0.277274 + 0.960791i
\(638\) 42.9969i 1.70226i
\(639\) 40.6919 15.8653i 1.60975 0.627623i
\(640\) −1.62172 + 0.936303i −0.0641043 + 0.0370106i
\(641\) 0.739636i 0.0292139i −0.999893 0.0146069i \(-0.995350\pi\)
0.999893 0.0146069i \(-0.00464970\pi\)
\(642\) −6.93549 8.07745i −0.273722 0.318792i
\(643\) −2.41482 4.18259i −0.0952313 0.164945i 0.814474 0.580200i \(-0.197026\pi\)
−0.909705 + 0.415255i \(0.863692\pi\)
\(644\) −10.2049 12.3988i −0.402131 0.488583i
\(645\) 31.0937 5.84720i 1.22431 0.230233i
\(646\) −3.85305 + 6.67367i −0.151596 + 0.262572i
\(647\) −2.02071 3.49997i −0.0794422 0.137598i 0.823567 0.567219i \(-0.191981\pi\)
−0.903009 + 0.429621i \(0.858647\pi\)
\(648\) 8.58819 + 2.69128i 0.337376 + 0.105723i
\(649\) −9.72906 + 5.61707i −0.381899 + 0.220489i
\(650\) −0.264430 + 5.37783i −0.0103718 + 0.210936i
\(651\) 28.8163 + 24.0887i 1.12940 + 0.944109i
\(652\) −17.1552 9.90456i −0.671849 0.387892i
\(653\) 46.7035i 1.82765i −0.406108 0.913825i \(-0.633114\pi\)
0.406108 0.913825i \(-0.366886\pi\)
\(654\) −21.4181 + 4.02769i −0.837513 + 0.157495i
\(655\) 1.50996 + 0.871775i 0.0589989 + 0.0340631i
\(656\) −4.85500 2.80304i −0.189556 0.109440i
\(657\) −9.35484 7.49456i −0.364967 0.292391i
\(658\) −2.90221 + 7.74430i −0.113140 + 0.301904i
\(659\) 40.3288 23.2838i 1.57099 0.907009i 0.574937 0.818198i \(-0.305027\pi\)
0.996048 0.0888111i \(-0.0283067\pi\)
\(660\) 16.2562 3.05700i 0.632773 0.118994i
\(661\) −22.2936 38.6137i −0.867122 1.50190i −0.864924 0.501902i \(-0.832634\pi\)
−0.00219813 0.999998i \(-0.500700\pi\)
\(662\) 6.22337 + 3.59306i 0.241878 + 0.139648i
\(663\) −6.97896 + 17.1315i −0.271040 + 0.665331i
\(664\) 9.63409i 0.373875i
\(665\) 8.19096 + 9.95189i 0.317632 + 0.385918i
\(666\) −18.9096 2.89348i −0.732731 0.112120i
\(667\) −25.5859 + 44.3161i −0.990690 + 1.71593i
\(668\) 13.0891 + 7.55698i 0.506432 + 0.292388i
\(669\) −2.13675 11.3626i −0.0826114 0.439303i
\(670\) −10.3421 + 17.9130i −0.399549 + 0.692040i
\(671\) 30.1010i 1.16204i
\(672\) 0.787372 4.51443i 0.0303735 0.174148i
\(673\) −7.92610 + 13.7284i −0.305529 + 0.529191i −0.977379 0.211496i \(-0.932166\pi\)
0.671850 + 0.740687i \(0.265500\pi\)
\(674\) −19.2711 −0.742295
\(675\) −7.75515 + 0.264099i −0.298496 + 0.0101652i
\(676\) 7.57313 10.5663i 0.291274 0.406398i
\(677\) 2.65460 + 4.59790i 0.102024 + 0.176711i 0.912519 0.409035i \(-0.134135\pi\)
−0.810494 + 0.585747i \(0.800801\pi\)
\(678\) −1.27724 + 3.63708i −0.0490522 + 0.139681i
\(679\) 28.9302 + 10.8417i 1.11024 + 0.416067i
\(680\) 4.80375 2.77345i 0.184215 0.106357i
\(681\) −20.8537 24.2873i −0.799114 0.930693i
\(682\) 41.7983 1.60054
\(683\) −11.9713 −0.458070 −0.229035 0.973418i \(-0.573557\pi\)
−0.229035 + 0.973418i \(0.573557\pi\)
\(684\) 6.09099 + 4.87976i 0.232895 + 0.186582i
\(685\) −3.49828 + 2.01973i −0.133662 + 0.0771701i
\(686\) 8.79982 + 16.2961i 0.335979 + 0.622188i
\(687\) 0.328615 + 0.115401i 0.0125375 + 0.00440280i
\(688\) −4.87733 8.44778i −0.185946 0.322069i
\(689\) −34.1729 1.68029i −1.30188 0.0640141i
\(690\) −18.5741 6.52271i −0.707104 0.248315i
\(691\) 38.9891 1.48322 0.741608 0.670834i \(-0.234064\pi\)
0.741608 + 0.670834i \(0.234064\pi\)
\(692\) 9.62713 16.6747i 0.365969 0.633876i
\(693\) −19.7749 + 35.3200i −0.751184 + 1.34170i
\(694\) 7.79589i 0.295928i
\(695\) 7.77343 13.4640i 0.294863 0.510718i
\(696\) −14.3513 + 2.69878i −0.543986 + 0.102297i
\(697\) 14.3811 + 8.30294i 0.544723 + 0.314496i
\(698\) −7.17103 + 12.4206i −0.271428 + 0.470127i
\(699\) −7.36048 + 20.9597i −0.278399 + 0.792771i
\(700\) 0.649132 + 3.89733i 0.0245349 + 0.147305i
\(701\) 41.8339i 1.58005i −0.613078 0.790023i \(-0.710069\pi\)
0.613078 0.790023i \(-0.289931\pi\)
\(702\) 16.0818 + 9.61125i 0.606968 + 0.362753i
\(703\) −14.3664 8.29444i −0.541839 0.312831i
\(704\) −2.54994 4.41662i −0.0961044 0.166458i
\(705\) 1.87373 + 9.96393i 0.0705686 + 0.375263i
\(706\) 22.0306 12.7194i 0.829134 0.478701i
\(707\) 15.6095 + 5.84973i 0.587055 + 0.220002i
\(708\) 2.48551 + 2.89476i 0.0934110 + 0.108792i
\(709\) 9.91254 + 5.72301i 0.372273 + 0.214932i 0.674451 0.738320i \(-0.264380\pi\)
−0.302178 + 0.953252i \(0.597714\pi\)
\(710\) −23.6098 13.6311i −0.886061 0.511567i
\(711\) −28.7685 + 11.2165i −1.07890 + 0.420653i
\(712\) 14.7628i 0.553260i
\(713\) −43.0807 24.8726i −1.61338 0.931488i
\(714\) −2.33229 + 13.3723i −0.0872839 + 0.500445i
\(715\) 34.3917 + 1.69105i 1.28618 + 0.0632418i
\(716\) −4.65318 + 2.68651i −0.173897 + 0.100400i
\(717\) 39.7906 34.1652i 1.48601 1.27592i
\(718\) 4.87490 + 8.44358i 0.181930 + 0.315112i
\(719\) 16.1498 27.9723i 0.602286 1.04319i −0.390188 0.920735i \(-0.627590\pi\)
0.992474 0.122455i \(-0.0390768\pi\)
\(720\) −2.04071 5.23406i −0.0760526 0.195062i
\(721\) 5.35166 14.2804i 0.199306 0.531831i
\(722\) −6.11599 10.5932i −0.227614 0.394238i
\(723\) −10.9664 + 9.41599i −0.407844 + 0.350184i
\(724\) 11.3131i 0.420446i
\(725\) 10.9036 6.29518i 0.404948 0.233797i
\(726\) 4.80433 + 25.5481i 0.178306 + 0.948177i
\(727\) 35.0984i 1.30173i −0.759195 0.650863i \(-0.774407\pi\)
0.759195 0.650863i \(-0.225593\pi\)
\(728\) 3.78224 8.75755i 0.140179 0.324576i
\(729\) −11.8780 + 24.2469i −0.439926 + 0.898034i
\(730\) 7.48214i 0.276926i
\(731\) 14.4473 + 25.0234i 0.534351 + 0.925523i
\(732\) −10.0470 + 1.88934i −0.371347 + 0.0698321i
\(733\) 1.14358 + 1.98073i 0.0422389 + 0.0731600i 0.886372 0.462974i \(-0.153218\pi\)
−0.844133 + 0.536134i \(0.819884\pi\)
\(734\) 12.5943 7.27133i 0.464864 0.268390i
\(735\) 19.5752 + 11.5018i 0.722040 + 0.424251i
\(736\) 6.06950i 0.223725i
\(737\) −48.7845 28.1657i −1.79700 1.03750i
\(738\) 10.5154 13.1255i 0.387077 0.483156i
\(739\) −5.64299 + 3.25798i −0.207581 + 0.119847i −0.600186 0.799860i \(-0.704907\pi\)
0.392606 + 0.919707i \(0.371574\pi\)
\(740\) 5.97039 + 10.3410i 0.219476 + 0.380144i
\(741\) 9.96555 + 12.8312i 0.366094 + 0.471367i
\(742\) −24.7652 + 4.12484i −0.909158 + 0.151428i
\(743\) −14.5039 + 25.1215i −0.532097 + 0.921620i 0.467201 + 0.884151i \(0.345263\pi\)
−0.999298 + 0.0374682i \(0.988071\pi\)
\(744\) −2.62354 13.9512i −0.0961838 0.511478i
\(745\) 7.41222i 0.271563i
\(746\) −6.87679 + 11.9109i −0.251777 + 0.436091i
\(747\) 28.5697 + 4.37164i 1.04531 + 0.159950i
\(748\) 7.55323 + 13.0826i 0.276173 + 0.478346i
\(749\) −10.3348 12.5566i −0.377624 0.458807i
\(750\) 13.7198 + 15.9789i 0.500978 + 0.583466i
\(751\) 30.8433 1.12549 0.562744 0.826631i \(-0.309746\pi\)
0.562744 + 0.826631i \(0.309746\pi\)
\(752\) 2.70708 1.56293i 0.0987169 0.0569942i
\(753\) 1.06283 + 0.373238i 0.0387318 + 0.0136015i
\(754\) −30.3616 1.49289i −1.10571 0.0543680i
\(755\) 10.4275 0.379495
\(756\) 13.0302 + 4.38344i 0.473903 + 0.159424i
\(757\) −10.6357 + 18.4215i −0.386560 + 0.669542i −0.991984 0.126361i \(-0.959670\pi\)
0.605424 + 0.795903i \(0.293004\pi\)
\(758\) −25.1138 14.4995i −0.912176 0.526645i
\(759\) 17.7640 50.5849i 0.644793 1.83612i
\(760\) 4.87167i 0.176714i
\(761\) −21.3492 12.3260i −0.773908 0.446816i 0.0603590 0.998177i \(-0.480775\pi\)
−0.834267 + 0.551361i \(0.814109\pi\)
\(762\) 2.35104 + 12.5022i 0.0851692 + 0.452905i
\(763\) −32.8377 + 5.46939i −1.18881 + 0.198005i
\(764\) −2.74863 1.58692i −0.0994418 0.0574128i
\(765\) 6.04482 + 15.5039i 0.218551 + 0.560546i
\(766\) −4.84882 2.79947i −0.175195 0.101149i
\(767\) 3.62861 + 7.06506i 0.131022 + 0.255105i
\(768\) −1.31411 + 1.12832i −0.0474188 + 0.0407149i
\(769\) 6.30372 10.9184i 0.227318 0.393726i −0.729694 0.683773i \(-0.760338\pi\)
0.957012 + 0.290047i \(0.0936710\pi\)
\(770\) 24.9237 4.15125i 0.898189 0.149601i
\(771\) −9.74872 + 8.37047i −0.351092 + 0.301455i
\(772\) 0.181273 0.104658i 0.00652415 0.00376672i
\(773\) 20.1987i 0.726496i −0.931692 0.363248i \(-0.881668\pi\)
0.931692 0.363248i \(-0.118332\pi\)
\(774\) 27.2649 10.6303i