Properties

Label 546.2.bi.f.17.3
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 17.3
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.3

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(-1.63421 + 0.573890i) q^{3} +1.00000 q^{4} +(-1.62172 + 0.936303i) q^{5} +(-1.63421 + 0.573890i) q^{6} +(2.04281 - 1.68135i) q^{7} +1.00000 q^{8} +(2.34130 - 1.87572i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(-1.63421 + 0.573890i) q^{3} +1.00000 q^{4} +(-1.62172 + 0.936303i) q^{5} +(-1.63421 + 0.573890i) q^{6} +(2.04281 - 1.68135i) q^{7} +1.00000 q^{8} +(2.34130 - 1.87572i) q^{9} +(-1.62172 + 0.936303i) q^{10} +(2.54994 + 4.41662i) q^{11} +(-1.63421 + 0.573890i) q^{12} +(-3.20727 + 1.64725i) q^{13} +(2.04281 - 1.68135i) q^{14} +(2.11291 - 2.46081i) q^{15} +1.00000 q^{16} +2.96212 q^{17} +(2.34130 - 1.87572i) q^{18} +(-1.30077 + 2.25300i) q^{19} +(-1.62172 + 0.936303i) q^{20} +(-2.37348 + 3.92003i) q^{21} +(2.54994 + 4.41662i) q^{22} +6.06950i q^{23} +(-1.63421 + 0.573890i) 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} +(2.11291 - 2.46081i) q^{30} +(4.09797 - 7.09789i) q^{31} +1.00000 q^{32} +(-6.70179 - 5.75431i) q^{33} +2.96212 q^{34} +(-1.73863 + 4.63937i) q^{35} +(2.34130 - 1.87572i) q^{36} +6.37656i q^{37} +(-1.30077 + 2.25300i) q^{38} +(4.29602 - 4.53258i) q^{39} +(-1.62172 + 0.936303i) q^{40} +(4.85500 + 2.80304i) q^{41} +(-2.37348 + 3.92003i) 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} +(-1.63421 + 0.573890i) q^{48} +(1.34615 - 6.86934i) q^{49} +(-0.746672 + 1.29327i) q^{50} +(-4.84074 + 1.69993i) 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} +(2.11291 - 2.46081i) q^{60} +(5.11154 + 2.95115i) q^{61} +(4.09797 - 7.09789i) q^{62} +(1.62910 - 7.76827i) q^{63} +1.00000 q^{64} +(3.65898 - 5.67436i) q^{65} +(-6.70179 - 5.75431i) q^{66} +(9.56582 - 5.52283i) q^{67} +2.96212 q^{68} +(-3.48323 - 9.91886i) q^{69} +(-1.73863 + 4.63937i) q^{70} +(-7.27923 - 12.6080i) q^{71} +(2.34130 - 1.87572i) 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} +(4.29602 - 4.53258i) q^{78} +(-5.14630 - 8.91365i) q^{79} +(-1.62172 + 0.936303i) q^{80} +(1.96338 - 8.78323i) q^{81} +(4.85500 + 2.80304i) q^{82} -9.63409i q^{83} +(-2.37348 + 3.92003i) 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} +(-1.63421 + 0.573890i) q^{96} +(5.83860 + 10.1127i) q^{97} +(1.34615 - 6.86934i) q^{98} +(14.2545 + 5.55768i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

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
\(3\) −1.63421 + 0.573890i −0.943513 + 0.331336i
\(4\) 1.00000 0.500000
\(5\) −1.62172 + 0.936303i −0.725257 + 0.418728i −0.816685 0.577084i \(-0.804190\pi\)
0.0914273 + 0.995812i \(0.470857\pi\)
\(6\) −1.63421 + 0.573890i −0.667164 + 0.234290i
\(7\) 2.04281 1.68135i 0.772110 0.635489i
\(8\) 1.00000 0.353553
\(9\) 2.34130 1.87572i 0.780434 0.625239i
\(10\) −1.62172 + 0.936303i −0.512834 + 0.296085i
\(11\) 2.54994 + 4.41662i 0.768835 + 1.33166i 0.938195 + 0.346107i \(0.112497\pi\)
−0.169360 + 0.985554i \(0.554170\pi\)
\(12\) −1.63421 + 0.573890i −0.471756 + 0.165668i
\(13\) −3.20727 + 1.64725i −0.889536 + 0.456865i
\(14\) 2.04281 1.68135i 0.545964 0.449359i
\(15\) 2.11291 2.46081i 0.545550 0.635378i
\(16\) 1.00000 0.250000
\(17\) 2.96212 0.718421 0.359210 0.933257i \(-0.383046\pi\)
0.359210 + 0.933257i \(0.383046\pi\)
\(18\) 2.34130 1.87572i 0.551850 0.442111i
\(19\) −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
\(21\) −2.37348 + 3.92003i −0.517935 + 0.855420i
\(22\) 2.54994 + 4.41662i 0.543648 + 0.941627i
\(23\) 6.06950i 1.26558i 0.774324 + 0.632789i \(0.218090\pi\)
−0.774324 + 0.632789i \(0.781910\pi\)
\(24\) −1.63421 + 0.573890i −0.333582 + 0.117145i
\(25\) −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 0.989060 0.147511i \(-0.0471261\pi\)
0.366782 + 0.930307i \(0.380459\pi\)
\(30\) 2.11291 2.46081i 0.385762 0.449280i
\(31\) 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
\(33\) −6.70179 5.75431i −1.16663 1.00170i
\(34\) 2.96212 0.508000
\(35\) −1.73863 + 4.63937i −0.293881 + 0.784197i
\(36\) 2.34130 1.87572i 0.390217 0.312619i
\(37\) 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
\(39\) 4.29602 4.53258i 0.687913 0.725793i
\(40\) −1.62172 + 0.936303i −0.256417 + 0.148043i
\(41\) 4.85500 + 2.80304i 0.758223 + 0.437761i 0.828658 0.559756i \(-0.189105\pi\)
−0.0704341 + 0.997516i \(0.522438\pi\)
\(42\) −2.37348 + 3.92003i −0.366236 + 0.604873i
\(43\) −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 −0.684267 0.729232i \(-0.739878\pi\)
0.289400 + 0.957208i \(0.406544\pi\)
\(48\) −1.63421 + 0.573890i −0.235878 + 0.0828339i
\(49\) 1.34615 6.86934i 0.192307 0.981335i
\(50\) −0.746672 + 1.29327i −0.105595 + 0.182897i
\(51\) −4.84074 + 1.69993i −0.677839 + 0.238038i
\(52\) −3.20727 + 1.64725i −0.444768 + 0.228433i
\(53\) −8.21797 4.74465i −1.12883 0.651728i −0.185186 0.982703i \(-0.559289\pi\)
−0.943639 + 0.330976i \(0.892622\pi\)
\(54\) −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 \(0.0458009\pi\)
−0.989666 + 0.143392i \(0.954199\pi\)
\(60\) 2.11291 2.46081i 0.272775 0.317689i
\(61\) 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
\(63\) 1.62910 7.76827i 0.205248 0.978710i
\(64\) 1.00000 0.125000
\(65\) 3.65898 5.67436i 0.453840 0.703818i
\(66\) −6.70179 5.75431i −0.824934 0.708307i
\(67\) 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
\(69\) −3.48323 9.91886i −0.419331 1.19409i
\(70\) −1.73863 + 4.63937i −0.207806 + 0.554511i
\(71\) −7.27923 12.6080i −0.863886 1.49629i −0.868149 0.496303i \(-0.834690\pi\)
0.00426326 0.999991i \(-0.498643\pi\)
\(72\) 2.34130 1.87572i 0.275925 0.221055i
\(73\) 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
\(78\) 4.29602 4.53258i 0.486428 0.513213i
\(79\) −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
\(81\) 1.96338 8.78323i 0.218153 0.975915i
\(82\) 4.85500 + 2.80304i 0.536145 + 0.309543i
\(83\) 9.63409i 1.05748i −0.848784 0.528739i \(-0.822665\pi\)
0.848784 0.528739i \(-0.177335\pi\)
\(84\) −2.37348 + 3.92003i −0.258968 + 0.427710i
\(85\) −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 \(0.286019\pi\)
−0.622741 + 0.782428i \(0.713981\pi\)
\(90\) −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
\(96\) −1.63421 + 0.573890i −0.166791 + 0.0585724i
\(97\) 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 0.665647 0.746267i \(-0.268156\pi\)
−0.979109 + 0.203334i \(0.934822\pi\)
\(102\) −4.84074 + 1.69993i −0.479305 + 0.168318i
\(103\) 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
\(105\) 0.178796 8.57950i 0.0174487 0.837273i
\(106\) −8.21797 4.74465i −0.798200 0.460841i
\(107\) 6.14671i 0.594225i 0.954842 + 0.297113i \(0.0960237\pi\)
−0.954842 + 0.297113i \(0.903976\pi\)
\(108\) −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
\(111\) −3.65944 10.4207i −0.347339 0.989084i
\(112\) 2.04281 1.68135i 0.193027 0.158872i
\(113\) 1.92741 1.11279i 0.181316 0.104683i −0.406595 0.913609i \(-0.633284\pi\)
0.587911 + 0.808926i \(0.299951\pi\)
\(114\) 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
\(117\) −4.41940 + 9.87263i −0.408574 + 0.912725i
\(118\) 2.20283i 0.202787i
\(119\) 6.05106 4.98036i 0.554700 0.456549i
\(120\) 2.11291 2.46081i 0.192881 0.224640i
\(121\) −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
\(126\) 1.62910 7.76827i 0.145132 0.692052i
\(127\) −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
\(129\) 12.8187 + 11.0064i 1.12862 + 0.969061i
\(130\) 3.65898 5.67436i 0.320914 0.497675i
\(131\) −0.465541 0.806340i −0.0406745 0.0704503i 0.844971 0.534811i \(-0.179617\pi\)
−0.885646 + 0.464361i \(0.846284\pi\)
\(132\) −6.70179 5.75431i −0.583316 0.500849i
\(133\) 1.13085 + 6.78950i 0.0980569 + 0.588725i
\(134\) 9.56582 5.52283i 0.826361 0.477100i
\(135\) 0.331171 9.72471i 0.0285027 0.836970i
\(136\) 2.96212 0.254000
\(137\) 2.15714 0.184297 0.0921483 0.995745i \(-0.470627\pi\)
0.0921483 + 0.995745i \(0.470627\pi\)
\(138\) −3.48323 9.91886i −0.296512 0.844349i
\(139\) 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
\(141\) 3.52699 4.10772i 0.297026 0.345933i
\(142\) −7.27923 12.6080i −0.610860 1.05804i
\(143\) −15.4536 9.96490i −1.29230 0.833307i
\(144\) 2.34130 1.87572i 0.195108 0.156310i
\(145\) −15.7879 −1.31111
\(146\) 1.99779 3.46027i 0.165338 0.286374i
\(147\) 1.74235 + 11.9985i 0.143707 + 0.989620i
\(148\) 6.37656i 0.524150i
\(149\) −1.97912 + 3.42793i −0.162136 + 0.280827i −0.935634 0.352971i \(-0.885172\pi\)
0.773499 + 0.633798i \(0.218505\pi\)
\(150\) 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
\(153\) 6.93522 5.55610i 0.560680 0.449184i
\(154\) 12.6349 + 4.73499i 1.01815 + 0.381556i
\(155\) 15.3478i 1.23276i
\(156\) 4.29602 4.53258i 0.343957 0.362897i
\(157\) 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
\(162\) 1.96338 8.78323i 0.154257 0.690076i
\(163\) −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 −0.100834 0.994903i \(-0.532151\pi\)
−0.912029 + 0.410126i \(0.865485\pi\)
\(168\) −2.37348 + 3.92003i −0.183118 + 0.302437i
\(169\) 7.57313 10.5663i 0.582548 0.812796i
\(170\) −4.80375 + 2.77345i −0.368431 + 0.212714i
\(171\) 1.18050 + 7.71483i 0.0902748 + 0.589968i
\(172\) −4.87733 8.44778i −0.371893 0.644137i
\(173\) −9.62713 + 16.6747i −0.731937 + 1.26775i 0.224117 + 0.974562i \(0.428050\pi\)
−0.956054 + 0.293190i \(0.905283\pi\)
\(174\) −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
\(177\) −1.26418 3.59989i −0.0950217 0.270584i
\(178\) 14.7628i 1.10652i
\(179\) 4.65318 2.68651i 0.347795 0.200800i −0.315919 0.948786i \(-0.602313\pi\)
0.663714 + 0.747987i \(0.268979\pi\)
\(180\) −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
\(189\) 1.79583 + 13.6299i 0.130627 + 0.991432i
\(190\) 4.87167i 0.353428i
\(191\) 2.74863 + 1.58692i 0.198884 + 0.114826i 0.596135 0.802884i \(-0.296702\pi\)
−0.397251 + 0.917710i \(0.630036\pi\)
\(192\) −1.63421 + 0.573890i −0.117939 + 0.0414169i
\(193\) 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
\(195\) −2.72309 + 11.3730i −0.195004 + 0.814435i
\(196\) 1.34615 6.86934i 0.0961535 0.490667i
\(197\) 9.71998 16.8355i 0.692520 1.19948i −0.278490 0.960439i \(-0.589834\pi\)
0.971010 0.239040i \(-0.0768328\pi\)
\(198\) 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
\(201\) −12.4631 + 14.5152i −0.879078 + 1.02382i
\(202\) −3.15026 5.45640i −0.221651 0.383911i
\(203\) 22.0031 3.66480i 1.54432 0.257219i
\(204\) −4.84074 + 1.69993i −0.338920 + 0.119019i
\(205\) −10.4980 −0.733210
\(206\) 4.99182 2.88203i 0.347797 0.200801i
\(207\) 11.3847 + 14.2105i 0.791289 + 0.987700i
\(208\) −3.20727 + 1.64725i −0.222384 + 0.114216i
\(209\) −13.2675 −0.917735
\(210\) 0.178796 8.57950i 0.0123381 0.592042i
\(211\) 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
\(213\) 19.1314 + 16.4267i 1.31086 + 1.12554i
\(214\) 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
\(222\) −3.65944 10.4207i −0.245606 0.699388i
\(223\) −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
\(225\) 0.677631 + 4.42849i 0.0451754 + 0.295233i
\(226\) 1.92741 1.11279i 0.128210 0.0740219i
\(227\) 18.4820i 1.22669i −0.789814 0.613346i \(-0.789823\pi\)
0.789814 0.613346i \(-0.210177\pi\)
\(228\) 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
\(231\) −23.3655 0.486935i −1.53734 0.0320380i
\(232\) 7.30144 + 4.21549i 0.479363 + 0.276760i
\(233\) −11.1073 + 6.41280i −0.727663 + 0.420116i −0.817567 0.575834i \(-0.804677\pi\)
0.0899037 + 0.995950i \(0.471344\pi\)
\(234\) −4.41940 + 9.87263i −0.288905 + 0.645394i
\(235\) 2.92675 5.06929i 0.190920 0.330684i
\(236\) 2.20283i 0.143392i
\(237\) 13.5256 + 11.6134i 0.878582 + 0.754371i
\(238\) 6.05106 4.98036i 0.392232 0.322829i
\(239\) 30.2795 1.95862 0.979311 0.202363i \(-0.0648621\pi\)
0.979311 + 0.202363i \(0.0648621\pi\)
\(240\) 2.11291 2.46081i 0.136388 0.158845i
\(241\) 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
\(243\) 1.83203 + 15.4804i 0.117525 + 0.993070i
\(244\) 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
\(249\) 5.52891 + 15.7441i 0.350380 + 0.997745i
\(250\) 12.1595i 0.769033i
\(251\) 0.325183 + 0.563233i 0.0205253 + 0.0355509i 0.876106 0.482119i \(-0.160133\pi\)
−0.855580 + 0.517670i \(0.826799\pi\)
\(252\) 1.62910 7.76827i 0.102624 0.489355i
\(253\) −26.8067 + 15.4768i −1.68532 + 0.973021i
\(254\) −3.67232 + 6.36064i −0.230422 + 0.399102i
\(255\) 6.25870 7.28922i 0.391935 0.456469i
\(256\) 1.00000 0.0625000
\(257\) −7.41850 −0.462753 −0.231377 0.972864i \(-0.574323\pi\)
−0.231377 + 0.972864i \(0.574323\pi\)
\(258\) 12.8187 + 11.0064i 0.798057 + 0.685230i
\(259\) 10.7212 + 13.0261i 0.666183 + 0.809403i
\(260\) 3.65898 5.67436i 0.226920 0.351909i
\(261\) 25.0019 3.82570i 1.54758 0.236805i
\(262\) −0.465541 0.806340i −0.0287612 0.0498159i
\(263\) −17.3650 + 10.0257i −1.07077 + 0.618209i −0.928392 0.371603i \(-0.878808\pi\)
−0.142378 + 0.989812i \(0.545475\pi\)
\(264\) −6.70179 5.75431i −0.412467 0.354153i
\(265\) 17.7697 1.09159
\(266\) 1.13085 + 6.78950i 0.0693367 + 0.416291i
\(267\) −8.47223 24.1256i −0.518492 1.47646i
\(268\) 9.56582 5.52283i 0.584325 0.337360i
\(269\) 12.4850 0.761225 0.380612 0.924735i \(-0.375713\pi\)
0.380612 + 0.924735i \(0.375713\pi\)
\(270\) 0.331171 9.72471i 0.0201544 0.591827i
\(271\) −2.87931 −0.174906 −0.0874530 0.996169i \(-0.527873\pi\)
−0.0874530 + 0.996169i \(0.527873\pi\)
\(272\) 2.96212 0.179605
\(273\) 1.15511 16.4823i 0.0699107 0.997553i
\(274\) 2.15714 0.130317
\(275\) −7.61587 −0.459254
\(276\) −3.48323 9.91886i −0.209666 0.597045i
\(277\) 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
\(279\) −3.71905 24.3049i −0.222654 1.45510i
\(280\) −1.73863 + 4.63937i −0.103903 + 0.277255i
\(281\) −6.16209 −0.367599 −0.183800 0.982964i \(-0.558840\pi\)
−0.183800 + 0.982964i \(0.558840\pi\)
\(282\) 3.52699 4.10772i 0.210029 0.244611i
\(283\) −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
\(285\) 2.79580 + 7.96134i 0.165609 + 0.471589i
\(286\) −15.4536 9.96490i −0.913791 0.589237i
\(287\) 14.6307 2.43687i 0.863624 0.143844i
\(288\) 2.34130 1.87572i 0.137962 0.110528i
\(289\) −8.22582 −0.483872
\(290\) −15.7879 −0.927097
\(291\) −15.3451 13.1757i −0.899546 0.772371i
\(292\) 1.99779 3.46027i 0.116912 0.202497i
\(293\) −4.43117 + 2.55834i −0.258872 + 0.149460i −0.623820 0.781568i \(-0.714420\pi\)
0.364948 + 0.931028i \(0.381087\pi\)
\(294\) 1.74235 + 11.9985i 0.101616 + 0.699767i
\(295\) −2.06252 3.57238i −0.120084 0.207992i
\(296\) 6.37656i 0.370630i
\(297\) −26.4844 0.901915i −1.53678 0.0523344i
\(298\) −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
\(303\) 8.27956 + 7.10902i 0.475648 + 0.408403i
\(304\) −1.30077 + 2.25300i −0.0746044 + 0.129219i
\(305\) −11.0527 −0.632875
\(306\) 6.93522 5.55610i 0.396460 0.317621i
\(307\) 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
\(309\) −6.50373 + 7.57461i −0.369984 + 0.430904i
\(310\) 15.3478i 0.871695i
\(311\) −5.59744 + 9.69505i −0.317402 + 0.549756i −0.979945 0.199268i \(-0.936144\pi\)
0.662543 + 0.749023i \(0.269477\pi\)
\(312\) 4.29602 4.53258i 0.243214 0.256607i
\(313\) 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
\(315\) 4.63150 + 14.1233i 0.260955 + 0.795760i
\(316\) −5.14630 8.91365i −0.289502 0.501432i
\(317\) −12.7161 22.0249i −0.714206 1.23704i −0.963265 0.268553i \(-0.913454\pi\)
0.249058 0.968488i \(-0.419879\pi\)
\(318\) 16.1528 + 3.03755i 0.905805 + 0.170337i
\(319\) 42.9969i 2.40736i
\(320\) −1.62172 + 0.936303i −0.0906572 + 0.0523409i
\(321\) −3.52754 10.0450i −0.196888 0.560659i
\(322\) 10.2049 + 12.3988i 0.568699 + 0.690960i
\(323\) −3.85305 + 6.67367i −0.214389 + 0.371333i
\(324\) 1.96338 8.78323i 0.109077 0.487957i
\(325\) 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
\(333\) 11.9606 + 14.9294i 0.655438 + 0.818128i
\(334\) −13.0891 7.55698i −0.716202 0.413500i
\(335\) −10.3421 + 17.9130i −0.565048 + 0.978692i
\(336\) −2.37348 + 3.92003i −0.129484 + 0.213855i
\(337\) 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
\(339\) −2.51118 + 2.92466i −0.136389 + 0.158846i
\(340\) −4.80375 + 2.77345i −0.260520 + 0.150411i
\(341\) 41.7983 2.26350
\(342\) 1.18050 + 7.71483i 0.0638339 + 0.417170i
\(343\) −8.79982 16.2961i −0.475146 0.879907i
\(344\) −4.87733 8.44778i −0.262968 0.455474i
\(345\) 14.9359 + 12.8243i 0.804121 + 0.690437i
\(346\) −9.62713 + 16.6747i −0.517558 + 0.896436i
\(347\) 7.79589i 0.418505i 0.977862 + 0.209253i \(0.0671031\pi\)
−0.977862 + 0.209253i \(0.932897\pi\)
\(348\) −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
\(351\) 1.55644 18.6702i 0.0830764 0.996543i
\(352\) 2.54994 + 4.41662i 0.135912 + 0.235407i
\(353\) 22.0306 12.7194i 1.17257 0.676985i 0.218288 0.975884i \(-0.429953\pi\)
0.954285 + 0.298900i \(0.0966196\pi\)
\(354\) −1.26418 3.59989i −0.0671905 0.191332i
\(355\) 23.6098 + 13.6311i 1.25308 + 0.723466i
\(356\) 14.7628i 0.782428i
\(357\) −7.03054 + 11.6116i −0.372096 + 0.614551i
\(358\) 4.65318 2.68651i 0.245928 0.141987i
\(359\) 4.87490 + 8.44358i 0.257288 + 0.445635i 0.965514 0.260350i \(-0.0838379\pi\)
−0.708227 + 0.705985i \(0.750505\pi\)
\(360\) −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
\(369\) 16.6247 2.54385i 0.865448 0.132428i
\(370\) −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
\(375\) 6.97820 + 19.8712i 0.360353 + 1.02614i
\(376\) −2.70708 + 1.56293i −0.139607 + 0.0806020i
\(377\) −30.3616 1.49289i −1.56370 0.0768879i
\(378\) 1.79583 + 13.6299i 0.0923675 + 0.701048i
\(379\) 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 0.370977 0.928642i \(-0.379023\pi\)
−0.618740 + 0.785596i \(0.712356\pi\)
\(384\) −1.63421 + 0.573890i −0.0833956 + 0.0292862i
\(385\) −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 0.386737 0.922190i \(-0.373602\pi\)
−0.605272 + 0.796019i \(0.706935\pi\)
\(390\) −2.72309 + 11.3730i −0.137889 + 0.575892i
\(391\) 17.9786i 0.909218i
\(392\) 1.34615 6.86934i 0.0679908 0.346954i
\(393\) 1.22354 + 1.05056i 0.0617196 + 0.0529938i
\(394\) 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
\(399\) −5.74447 10.4465i −0.287583 0.522980i
\(400\) −0.746672 + 1.29327i −0.0373336 + 0.0646637i
\(401\) −6.92045 −0.345591 −0.172795 0.984958i \(-0.555280\pi\)
−0.172795 + 0.984958i \(0.555280\pi\)
\(402\) −12.4631 + 14.5152i −0.621602 + 0.723952i
\(403\) −1.45128 + 29.5152i −0.0722932 + 1.47026i
\(404\) −3.15026 5.45640i −0.156731 0.271466i
\(405\) 5.03971 + 16.0823i 0.250425 + 0.799136i
\(406\) 22.0031 3.66480i 1.09200 0.181881i
\(407\) −28.1628 + 16.2598i −1.39598 + 0.805970i
\(408\) −4.84074 + 1.69993i −0.239652 + 0.0841592i
\(409\) 11.3829 0.562849 0.281425 0.959583i \(-0.409193\pi\)
0.281425 + 0.959583i \(0.409193\pi\)
\(410\) −10.4980 −0.518457
\(411\) −3.52522 + 1.23796i −0.173886 + 0.0610640i
\(412\) 4.99182 2.88203i 0.245930 0.141987i
\(413\) 3.70372 + 4.49996i 0.182248 + 0.221429i
\(414\) 11.3847 + 14.2105i 0.559526 + 0.698409i
\(415\) 9.02043 + 15.6238i 0.442795 + 0.766944i
\(416\) −3.20727 + 1.64725i −0.157249 + 0.0807631i
\(417\) −9.36764 + 10.9101i −0.458735 + 0.534269i
\(418\) −13.2675 −0.648937
\(419\) 4.51941 7.82784i 0.220788 0.382415i −0.734260 0.678869i \(-0.762471\pi\)
0.955047 + 0.296453i \(0.0958039\pi\)
\(420\) 0.178796 8.57950i 0.00872436 0.418637i
\(421\) 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
\(426\) 19.1314 + 16.4267i 0.926920 + 0.795875i
\(427\) 15.4038 2.56563i 0.745443 0.124160i
\(428\) 6.14671i 0.297113i
\(429\) 30.9732 + 7.41609i 1.49540 + 0.358052i
\(430\) 15.8194 + 9.13332i 0.762878 + 0.440448i
\(431\) −11.6404 20.1618i −0.560700 0.971160i −0.997436 0.0715705i \(-0.977199\pi\)
0.436736 0.899590i \(-0.356134\pi\)
\(432\) −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
\(435\) 25.8008 9.06051i 1.23705 0.434418i
\(436\) −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
\(441\) −9.73320 18.6082i −0.463486 0.886104i
\(442\) −9.50032 + 4.87936i −0.451884 + 0.232088i
\(443\) 2.31071 1.33409i 0.109785 0.0633846i −0.444102 0.895976i \(-0.646477\pi\)
0.553887 + 0.832592i \(0.313144\pi\)
\(444\) −3.65944 10.4207i −0.173669 0.494542i
\(445\) −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 0.988065 0.154039i \(-0.0492282\pi\)
−0.627434 + 0.778670i \(0.715895\pi\)
\(450\) 0.677631 + 4.42849i 0.0319439 + 0.208761i
\(451\) 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 −0.0291053 0.999576i \(-0.509266\pi\)
0.851106 + 0.524994i \(0.175932\pi\)
\(462\) −23.3655 0.486935i −1.08706 0.0226543i
\(463\) 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
\(465\) −8.80793 25.0815i −0.408458 1.16313i
\(466\) −11.1073 + 6.41280i −0.514535 + 0.297067i
\(467\) −9.83436 17.0336i −0.455080 0.788221i 0.543613 0.839336i \(-0.317056\pi\)
−0.998693 + 0.0511146i \(0.983723\pi\)
\(468\) −4.41940 + 9.87263i −0.204287 + 0.456363i
\(469\) 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
\(474\) 13.5256 + 11.6134i 0.621251 + 0.533421i
\(475\) −1.94250 3.36451i −0.0891280 0.154374i
\(476\) 6.05106 4.98036i 0.277350 0.228274i
\(477\) −28.1404 + 4.30594i −1.28846 + 0.197155i
\(478\) 30.2795 1.38495
\(479\) −16.4723 + 9.51026i −0.752637 + 0.434535i −0.826646 0.562722i \(-0.809754\pi\)
0.0740090 + 0.997258i \(0.476421\pi\)
\(480\) 2.11291 2.46081i 0.0964406 0.112320i
\(481\) −10.5038 20.4513i −0.478932 0.932500i
\(482\) 8.34511 0.380109
\(483\) −23.7926 14.4058i −1.08260 0.655488i
\(484\) −7.50436 + 12.9979i −0.341107 + 0.590815i
\(485\) −18.9372 10.9334i −0.859894 0.496460i
\(486\) 1.83203 + 15.4804i 0.0831027 + 0.702206i
\(487\) 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 0.951422 0.307891i \(-0.0996233\pi\)
0.209069 + 0.977901i \(0.432957\pi\)
\(492\) −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
\(495\) −28.3205 + 4.33351i −1.27291 + 0.194777i
\(496\) 4.09797 7.09789i 0.184004 0.318705i
\(497\) −36.0685 13.5168i −1.61789 0.606313i
\(498\) 5.52891 + 15.7441i 0.247756 + 0.705512i
\(499\) 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 \(-0.940979\pi\)
0.331770 0.943360i \(-0.392354\pi\)
\(504\) 1.62910 7.76827i 0.0725661 0.346026i
\(505\) 10.2177 + 5.89919i 0.454682 + 0.262511i
\(506\) −26.8067 + 15.4768i −1.19170 + 0.688030i
\(507\) −6.31218 + 21.6138i −0.280334 + 0.959903i
\(508\) −3.67232 + 6.36064i −0.162933 + 0.282208i
\(509\) 38.2320i 1.69460i −0.531113 0.847301i \(-0.678226\pi\)
0.531113 0.847301i \(-0.321774\pi\)
\(510\) 6.25870 7.28922i 0.277140 0.322772i
\(511\) −1.73681 10.4276i −0.0768320 0.461292i
\(512\) 1.00000 0.0441942
\(513\) −6.35665 11.9302i −0.280653 0.526731i
\(514\) −7.41850 −0.327216
\(515\) −5.39691 + 9.34772i −0.237816 + 0.411910i
\(516\) 12.8187 + 11.0064i 0.564311 + 0.484531i
\(517\) −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 −0.842971 0.537959i \(-0.819195\pi\)
0.887372 + 0.461055i \(0.152529\pi\)
\(522\) 25.0019 3.82570i 1.09430 0.167446i
\(523\) 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
\(525\) −3.29746 5.99653i −0.143913 0.261710i
\(526\) −17.3650 + 10.0257i −0.757149 + 0.437140i
\(527\) 12.1387 21.0248i 0.528770 0.915856i
\(528\) −6.70179 5.75431i −0.291658 0.250424i
\(529\) −13.8389 −0.601690
\(530\) 17.7697 0.771867
\(531\) 4.13188 + 5.15748i 0.179308 + 0.223816i
\(532\) 1.13085 + 6.78950i 0.0490285 + 0.294362i
\(533\) −20.1886 0.992681i −0.874465 0.0429978i
\(534\) −8.47223 24.1256i −0.366629 1.04402i
\(535\) −5.75519 9.96828i −0.248818 0.430966i
\(536\) 9.56582 5.52283i 0.413180 0.238550i
\(537\) −6.06252 + 7.06075i −0.261617 + 0.304694i
\(538\) 12.4850 0.538267
\(539\) 33.7719 11.5710i 1.45466 0.498397i
\(540\) 0.331171 9.72471i 0.0142513 0.418485i
\(541\) −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
\(543\) −6.49245 18.4879i −0.278618 0.793393i
\(544\) 2.96212 0.127000
\(545\) 23.5620 1.00929
\(546\) 1.15511 16.4823i 0.0494343 0.705377i
\(547\) −26.8765 −1.14916 −0.574578 0.818450i \(-0.694834\pi\)
−0.574578 + 0.818450i \(0.694834\pi\)
\(548\) 2.15714 0.0921483
\(549\) 17.5032 2.67827i 0.747017 0.114306i
\(550\) −7.61587 −0.324742
\(551\) −18.9950 + 10.9668i −0.809214 + 0.467200i
\(552\) −3.48323 9.91886i −0.148256 0.422175i
\(553\) −25.4998 9.55619i −1.08436 0.406370i
\(554\) 8.00292 0.340011
\(555\) 15.6915 + 13.4731i 0.666067 + 0.571900i
\(556\) 7.18997 4.15113i 0.304922 0.176047i
\(557\) −13.5744 23.5116i −0.575167 0.996219i −0.996023 0.0890918i \(-0.971604\pi\)
0.420856 0.907127i \(-0.361730\pi\)
\(558\) −3.71905 24.3049i −0.157440 1.02891i
\(559\) 29.5585 + 19.0601i 1.25019 + 0.806157i
\(560\) −1.73863 + 4.63937i −0.0734704 + 0.196049i
\(561\) −19.8515 17.0450i −0.838133 0.719640i
\(562\) −6.16209 −0.259932
\(563\) 16.3087 0.687329 0.343664 0.939093i \(-0.388332\pi\)
0.343664 + 0.939093i \(0.388332\pi\)
\(564\) 3.52699 4.10772i 0.148513 0.172966i
\(565\) −2.08382 + 3.60929i −0.0876671 + 0.151844i
\(566\) −11.9016 + 6.87141i −0.500263 + 0.288827i
\(567\) −10.7568 21.2436i −0.451745 0.892147i
\(568\) −7.27923 12.6080i −0.305430 0.529020i
\(569\) 26.1439i 1.09601i 0.836475 + 0.548005i \(0.184612\pi\)
−0.836475 + 0.548005i \(0.815388\pi\)
\(570\) 2.79580 + 7.96134i 0.117103 + 0.333464i
\(571\) −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
\(576\) 2.34130 1.87572i 0.0975542 0.0781548i
\(577\) −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
\(579\) −0.236176 + 0.275064i −0.00981514 + 0.0114313i
\(580\) −15.7879 −0.655557
\(581\) −16.1982 19.6806i −0.672016 0.816490i
\(582\) −15.3451 13.1757i −0.636075 0.546149i
\(583\) 48.3942i 2.00428i
\(584\) 1.99779 3.46027i 0.0826690 0.143187i
\(585\) −2.07673 20.1486i −0.0858620 0.833042i
\(586\) −4.43117 + 2.55834i −0.183050 + 0.105684i
\(587\) 13.2115 + 7.62767i 0.545298 + 0.314828i 0.747223 0.664573i \(-0.231387\pi\)
−0.201926 + 0.979401i \(0.564720\pi\)
\(588\) 1.74235 + 11.9985i 0.0718535 + 0.494810i
\(589\) 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 −0.499542 0.866290i \(-0.666498\pi\)
0.500458 + 0.865761i \(0.333165\pi\)
\(594\) −26.4844 0.901915i −1.08667 0.0370060i
\(595\) −5.15003 + 13.7424i −0.211131 + 0.563383i
\(596\) −1.97912 + 3.42793i −0.0810678 + 0.140414i
\(597\) 8.29496 + 23.6208i 0.339490 + 0.966734i
\(598\) −9.99799 19.4665i −0.408848 0.796045i
\(599\) 21.8300 + 12.6035i 0.891949 + 0.514967i 0.874579 0.484882i \(-0.161138\pi\)
0.0173692 + 0.999849i \(0.494471\pi\)
\(600\) 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
\(606\) 8.27956 + 7.10902i 0.336334 + 0.288784i
\(607\) −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
\(609\) −33.8546 + 18.6165i −1.37186 + 0.754377i
\(610\) −11.0527 −0.447510
\(611\) 6.10778 9.47197i 0.247094 0.383195i
\(612\) 6.93522 5.55610i 0.280340 0.224592i
\(613\) −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
\(615\) 17.1559 6.02468i 0.691793 0.242938i
\(616\) 12.6349 + 4.73499i 0.509075 + 0.190778i
\(617\) 2.53770 + 4.39542i 0.102164 + 0.176953i 0.912576 0.408907i \(-0.134090\pi\)
−0.810412 + 0.585860i \(0.800757\pi\)
\(618\) −6.50373 + 7.57461i −0.261619 + 0.304695i
\(619\) 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
\(624\) 4.29602 4.53258i 0.171978 0.181448i
\(625\) 7.65160 + 13.2530i 0.306064 + 0.530118i
\(626\) 28.1564 16.2561i 1.12536 0.649725i
\(627\) 21.6820 7.61411i 0.865895 0.304078i
\(628\) 6.31098 + 3.64365i 0.251836 + 0.145397i
\(629\) 18.8882i 0.753120i
\(630\) 4.63150 + 14.1233i 0.184523 + 0.562687i
\(631\) 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 \(0.00464970\pi\)
−0.999893 + 0.0146069i \(0.995350\pi\)
\(642\) −3.52754 10.0450i −0.139221 0.396446i
\(643\) −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 0.903009 0.429621i \(-0.141353\pi\)
−0.823567 + 0.567219i \(0.808019\pi\)
\(648\) 1.96338 8.78323i 0.0771287 0.345038i
\(649\) −9.72906 + 5.61707i −0.381899 + 0.220489i
\(650\) 0.264430 5.37783i 0.0103718 0.210936i
\(651\) 18.0975 + 32.9108i 0.709296 + 1.28988i
\(652\) −17.1552 9.90456i −0.671849 0.387892i
\(653\) 46.7035i 1.82765i 0.406108 + 0.913825i \(0.366886\pi\)
−0.406108 + 0.913825i \(0.633114\pi\)
\(654\) 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
\(657\) −1.81306 11.8488i −0.0707343 0.462266i
\(658\) −2.90221 + 7.74430i −0.113140 + 0.301904i
\(659\) −40.3288 + 23.2838i −1.57099 + 0.907009i −0.574937 + 0.818198i \(0.694973\pi\)
−0.996048 + 0.0888111i \(0.971693\pi\)
\(660\) 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
\(663\) 12.7253 13.4261i 0.494211 0.521425i
\(664\) 9.63409i 0.373875i
\(665\) −8.19096 9.95189i −0.317632 0.385918i
\(666\) 11.9606 + 14.9294i 0.463464 + 0.578504i
\(667\) −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
\(672\) −2.37348 + 3.92003i −0.0915589 + 0.151218i
\(673\) −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
\(675\) −3.64886 6.84821i −0.140445 0.263588i
\(676\) 7.57313 10.5663i 0.291274 0.406398i
\(677\) −2.65460 4.59790i −0.102024 0.176711i 0.810494 0.585747i \(-0.199199\pi\)
−0.912519 + 0.409035i \(0.865865\pi\)
\(678\) −2.51118 + 2.92466i −0.0964415 + 0.112321i
\(679\) 28.9302 + 10.8417i 1.11024 + 0.416067i
\(680\) −4.80375 + 2.77345i −0.184215 + 0.106357i
\(681\) 10.6066 + 30.2035i 0.406447 + 1.15740i
\(682\) 41.7983 1.60054
\(683\) 11.9713 0.458070 0.229035 0.973418i \(-0.426443\pi\)
0.229035 + 0.973418i \(0.426443\pi\)
\(684\) 1.18050 + 7.71483i 0.0451374 + 0.294984i
\(685\) −3.49828 + 2.01973i −0.133662 + 0.0771701i
\(686\) −8.79982 16.2961i −0.335979 0.622188i
\(687\) 0.264247 + 0.226889i 0.0100817 + 0.00865635i
\(688\) −4.87733 8.44778i −0.185946 0.322069i
\(689\) 34.1729 + 1.68029i 1.30188 + 0.0640141i
\(690\) 14.9359 + 12.8243i 0.568600 + 0.488213i
\(691\) 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
\(693\) 38.4636 12.6135i 1.46111 0.479146i
\(694\) 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
\(699\) 14.4714 16.8542i 0.547360 0.637486i
\(700\) 0.649132 + 3.89733i 0.0245349 + 0.147305i
\(701\) 41.8339i 1.58005i 0.613078 + 0.790023i \(0.289931\pi\)
−0.613078 + 0.790023i \(0.710069\pi\)
\(702\) 1.55644 18.6702i 0.0587439 0.704662i
\(703\) −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
\(708\) −1.26418 3.59989i −0.0475108 0.135292i
\(709\) 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
\(714\) −7.03054 + 11.6116i −0.263111 + 0.434553i
\(715\) 34.3917 + 1.69105i 1.28618 + 0.0632418i
\(716\) 4.65318 2.68651i 0.173897 0.100400i
\(717\) −49.4832 + 17.3771i −1.84798 + 0.648961i
\(718\) 4.87490 + 8.44358i 0.181930 + 0.315112i
\(719\) −16.1498 + 27.9723i −0.602286 + 1.04319i 0.390188 + 0.920735i \(0.372410\pi\)
−0.992474 + 0.122455i \(0.960923\pi\)
\(720\) −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
\(723\) −13.6377 + 4.78917i −0.507191 + 0.178111i
\(724\) 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
\(735\) −14.0599 17.8269i −0.518606 0.657555i
\(736\) 6.06950i 0.223725i
\(737\) 48.7845 + 28.1657i 1.79700 + 1.03750i
\(738\) 16.6247 2.54385i 0.611964 0.0936405i
\(739\) −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
\(741\) 4.62377 + 15.5748i 0.169858 + 0.572154i
\(742\) −24.7652 + 4.12484i −0.909158 + 0.151428i
\(743\) 14.5039 25.1215i 0.532097 0.921620i −0.467201 0.884151i \(-0.654737\pi\)
0.999298 0.0374682i \(-0.0119293\pi\)
\(744\) −2.62354 + 13.9512i −0.0961838 + 0.511478i
\(745\) 7.41222i 0.271563i
\(746\) 6.87679 11.9109i 0.251777 0.436091i
\(747\) −18.0708 22.5563i −0.661177 0.825292i
\(748\) 7.55323 + 13.0826i 0.276173 + 0.478346i
\(749\) 10.3348 + 12.5566i 0.377624 + 0.458807i
\(750\) 6.97820 + 19.8712i 0.254808 + 0.725593i
\(751\) 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
\(753\) −0.854651 0.733823i −0.0311452 0.0267420i
\(754\) −30.3616 1.49289i −1.10571 0.0543680i
\(755\) −10.4275 −0.379495
\(756\) 1.79583 + 13.6299i 0.0653137 + 0.495716i
\(757\) −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
\(759\) 34.9258 40.6765i 1.26773 1.47647i
\(760\) 4.87167i 0.176714i
\(761\) 21.3492 + 12.3260i 0.773908 + 0.446816i 0.834267 0.551361i \(-0.185891\pi\)
−0.0603590 + 0.998177i \(0.519225\pi\)
\(762\) 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
\(768\) −1.63421 + 0.573890i −0.0589696 + 0.0207085i
\(769\) 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
\(771\) 12.1234 4.25740i 0.436614 0.153327i
\(772\) 0.181273 0.104658i 0.00652415 0.00376672i
\(773\) 20.1987i 0.726496i 0.931692 + 0.363248i \(0.118332\pi\)
−0.931692 + 0.363248i \(0.881668\pi\)
\(774\) −27.2649 10.6303i −0.980018