Properties

Label 546.2.bn.e.101.8
Level $546$
Weight $2$
Character 546.101
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.bn (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 101.8
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.320103 - 1.70221i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.62172 + 0.936303i) q^{5} +(1.63421 + 0.573890i) q^{6} +(2.47749 + 0.928453i) q^{7} +1.00000 q^{8} +(-2.79507 + 1.08977i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.320103 - 1.70221i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.62172 + 0.936303i) q^{5} +(1.63421 + 0.573890i) q^{6} +(2.47749 + 0.928453i) q^{7} +1.00000 q^{8} +(-2.79507 + 1.08977i) q^{9} -1.87261i q^{10} -5.09987 q^{11} +(-1.31411 + 1.12832i) q^{12} +(3.20727 + 1.64725i) q^{13} +(-2.04281 + 1.68135i) q^{14} +(2.11291 + 2.46081i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.48106 + 2.56527i) q^{17} +(0.453768 - 2.96548i) q^{18} -2.60154 q^{19} +(1.62172 + 0.936303i) q^{20} +(0.787372 - 4.51443i) q^{21} +(2.54994 - 4.41662i) q^{22} +(5.25634 + 3.03475i) q^{23} +(-0.320103 - 1.70221i) q^{24} +(-0.746672 + 1.29327i) q^{25} +(-3.03019 + 1.95395i) q^{26} +(2.74973 + 4.40897i) q^{27} +(-0.434683 - 2.60980i) q^{28} +(7.30144 - 4.21549i) q^{29} +(-3.18758 + 0.599427i) q^{30} +(-4.09797 + 7.09789i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.63248 + 8.68108i) q^{33} -2.96212 q^{34} +(-4.88713 + 0.813991i) q^{35} +(2.34130 + 1.87572i) q^{36} +(5.52226 + 3.18828i) q^{37} +(1.30077 - 2.25300i) q^{38} +(1.77732 - 5.98675i) q^{39} +(-1.62172 + 0.936303i) q^{40} +(-4.85500 + 2.80304i) q^{41} +(3.51592 + 2.93910i) q^{42} +(-4.87733 + 8.44778i) q^{43} +(2.54994 + 4.41662i) q^{44} +(3.51248 - 4.38433i) q^{45} +(-5.25634 + 3.03475i) q^{46} +(-2.70708 + 1.56293i) q^{47} +(1.63421 + 0.573890i) q^{48} +(5.27595 + 4.60047i) q^{49} +(-0.746672 - 1.29327i) q^{50} +(3.89256 - 3.34224i) q^{51} +(-0.177072 - 3.60120i) q^{52} +(8.21797 + 4.74465i) q^{53} +(-5.19314 + 0.176850i) q^{54} +(8.27059 - 4.77503i) q^{55} +(2.47749 + 0.928453i) q^{56} +(0.832761 + 4.42838i) q^{57} +8.43097i q^{58} +(1.90771 - 1.10141i) q^{59} +(1.07467 - 3.06024i) q^{60} -5.90230i q^{61} +(-4.09797 - 7.09789i) q^{62} +(-7.93656 + 0.104805i) q^{63} +1.00000 q^{64} +(-6.74363 + 0.331587i) q^{65} +(-8.33428 - 2.92677i) q^{66} -11.0457i q^{67} +(1.48106 - 2.56527i) q^{68} +(3.48323 - 9.91886i) q^{69} +(1.73863 - 4.63937i) q^{70} +(-7.27923 + 12.6080i) q^{71} +(-2.79507 + 1.08977i) q^{72} +(-1.99779 + 3.46027i) q^{73} +(-5.52226 + 3.18828i) q^{74} +(2.44044 + 0.857016i) 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} -1.87261i q^{80} +(6.62481 - 6.09195i) q^{81} -5.60607i q^{82} -9.63409i q^{83} +(-4.30329 + 1.57533i) q^{84} +(-4.80375 - 2.77345i) q^{85} +(-4.87733 - 8.44778i) q^{86} +(-9.51287 - 11.0792i) q^{87} -5.09987 q^{88} +(-12.7850 - 7.38141i) q^{89} +(2.04071 + 5.23406i) q^{90} +(6.41659 + 7.05885i) q^{91} -6.06950i q^{92} +(13.3939 + 4.70357i) q^{93} -3.12586i q^{94} +(4.21899 - 2.43583i) q^{95} +(-1.31411 + 1.12832i) q^{96} +(-5.83860 + 10.1127i) q^{97} +(-6.62210 + 2.26887i) q^{98} +(14.2545 - 5.55768i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −0.320103 1.70221i −0.184812 0.982774i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −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
\(7\) 2.47749 + 0.928453i 0.936405 + 0.350922i
\(8\) 1.00000 0.353553
\(9\) −2.79507 + 1.08977i −0.931689 + 0.363256i
\(10\) 1.87261i 0.592170i
\(11\) −5.09987 −1.53767 −0.768835 0.639447i \(-0.779163\pi\)
−0.768835 + 0.639447i \(0.779163\pi\)
\(12\) −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
\(15\) 2.11291 + 2.46081i 0.545550 + 0.635378i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.48106 + 2.56527i 0.359210 + 0.622171i 0.987829 0.155543i \(-0.0497127\pi\)
−0.628619 + 0.777714i \(0.716379\pi\)
\(18\) 0.453768 2.96548i 0.106954 0.698971i
\(19\) −2.60154 −0.596835 −0.298417 0.954435i \(-0.596459\pi\)
−0.298417 + 0.954435i \(0.596459\pi\)
\(20\) 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
\(23\) 5.25634 + 3.03475i 1.09602 + 0.632789i 0.935174 0.354190i \(-0.115243\pi\)
0.160850 + 0.986979i \(0.448577\pi\)
\(24\) −0.320103 1.70221i −0.0653407 0.347463i
\(25\) −0.746672 + 1.29327i −0.149334 + 0.258655i
\(26\) −3.03019 + 1.95395i −0.594270 + 0.383201i
\(27\) 2.74973 + 4.40897i 0.529185 + 0.848506i
\(28\) −0.434683 2.60980i −0.0821475 0.493206i
\(29\) 7.30144 4.21549i 1.35584 0.782796i 0.366782 0.930307i \(-0.380459\pi\)
0.989060 + 0.147511i \(0.0471261\pi\)
\(30\) −3.18758 + 0.599427i −0.581969 + 0.109440i
\(31\) −4.09797 + 7.09789i −0.736017 + 1.27482i 0.218258 + 0.975891i \(0.429962\pi\)
−0.954276 + 0.298928i \(0.903371\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 1.63248 + 8.68108i 0.284179 + 1.51118i
\(34\) −2.96212 −0.508000
\(35\) −4.88713 + 0.813991i −0.826075 + 0.137590i
\(36\) 2.34130 + 1.87572i 0.390217 + 0.312619i
\(37\) 5.52226 + 3.18828i 0.907854 + 0.524150i 0.879740 0.475455i \(-0.157716\pi\)
0.0281141 + 0.999605i \(0.491050\pi\)
\(38\) 1.30077 2.25300i 0.211013 0.365485i
\(39\) 1.77732 5.98675i 0.284599 0.958647i
\(40\) −1.62172 + 0.936303i −0.256417 + 0.148043i
\(41\) −4.85500 + 2.80304i −0.758223 + 0.437761i −0.828658 0.559756i \(-0.810895\pi\)
0.0704341 + 0.997516i \(0.477562\pi\)
\(42\) 3.51592 + 2.93910i 0.542519 + 0.453513i
\(43\) −4.87733 + 8.44778i −0.743786 + 1.28827i 0.206974 + 0.978346i \(0.433638\pi\)
−0.950760 + 0.309928i \(0.899695\pi\)
\(44\) 2.54994 + 4.41662i 0.384417 + 0.665831i
\(45\) 3.51248 4.38433i 0.523609 0.653578i
\(46\) −5.25634 + 3.03475i −0.775006 + 0.447450i
\(47\) −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
\(49\) 5.27595 + 4.60047i 0.753707 + 0.657210i
\(50\) −0.746672 1.29327i −0.105595 0.182897i
\(51\) 3.89256 3.34224i 0.545067 0.468007i
\(52\) −0.177072 3.60120i −0.0245555 0.499397i
\(53\) 8.21797 + 4.74465i 1.12883 + 0.651728i 0.943639 0.330976i \(-0.107378\pi\)
0.185186 + 0.982703i \(0.440711\pi\)
\(54\) −5.19314 + 0.176850i −0.706697 + 0.0240663i
\(55\) 8.27059 4.77503i 1.11521 0.643865i
\(56\) 2.47749 + 0.928453i 0.331069 + 0.124070i
\(57\) 0.832761 + 4.42838i 0.110302 + 0.586554i
\(58\) 8.43097i 1.10704i
\(59\) 1.90771 1.10141i 0.248362 0.143392i −0.370652 0.928772i \(-0.620866\pi\)
0.619014 + 0.785380i \(0.287532\pi\)
\(60\) 1.07467 3.06024i 0.138739 0.395075i
\(61\) 5.90230i 0.755712i −0.925864 0.377856i \(-0.876661\pi\)
0.925864 0.377856i \(-0.123339\pi\)
\(62\) −4.09797 7.09789i −0.520443 0.901433i
\(63\) −7.93656 + 0.104805i −0.999913 + 0.0132042i
\(64\) 1.00000 0.125000
\(65\) −6.74363 + 0.331587i −0.836445 + 0.0411283i
\(66\) −8.33428 2.92677i −1.02588 0.360260i
\(67\) 11.0457i 1.34944i −0.738073 0.674721i \(-0.764264\pi\)
0.738073 0.674721i \(-0.235736\pi\)
\(68\) 1.48106 2.56527i 0.179605 0.311085i
\(69\) 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 0.00426326 + 0.999991i \(0.498643\pi\)
−0.868149 + 0.496303i \(0.834690\pi\)
\(72\) −2.79507 + 1.08977i −0.329402 + 0.128430i
\(73\) −1.99779 + 3.46027i −0.233823 + 0.404994i −0.958930 0.283643i \(-0.908457\pi\)
0.725107 + 0.688636i \(0.241790\pi\)
\(74\) −5.52226 + 3.18828i −0.641950 + 0.370630i
\(75\) 2.44044 + 0.857016i 0.281798 + 0.0989596i
\(76\) 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 \(-0.363225\pi\)
\(80\) 1.87261i 0.209364i
\(81\) 6.62481 6.09195i 0.736090 0.676883i
\(82\) 5.60607i 0.619087i
\(83\) 9.63409i 1.05748i −0.848784 0.528739i \(-0.822665\pi\)
0.848784 0.528739i \(-0.177335\pi\)
\(84\) −4.30329 + 1.57533i −0.469528 + 0.171882i
\(85\) −4.80375 2.77345i −0.521040 0.300823i
\(86\) −4.87733 8.44778i −0.525936 0.910948i
\(87\) −9.51287 11.0792i −1.01989 1.18782i
\(88\) −5.09987 −0.543648
\(89\) −12.7850 7.38141i −1.35520 0.782428i −0.366232 0.930524i \(-0.619352\pi\)
−0.988973 + 0.148096i \(0.952686\pi\)
\(90\) 2.04071 + 5.23406i 0.215109 + 0.551719i
\(91\) 6.41659 + 7.05885i 0.672642 + 0.739969i
\(92\) 6.06950i 0.632789i
\(93\) 13.3939 + 4.70357i 1.38888 + 0.487737i
\(94\) 3.12586i 0.322408i
\(95\) 4.21899 2.43583i 0.432859 0.249911i
\(96\) −1.31411 + 1.12832i −0.134121 + 0.115159i
\(97\) −5.83860 + 10.1127i −0.592820 + 1.02679i 0.401031 + 0.916065i \(0.368652\pi\)
−0.993851 + 0.110729i \(0.964681\pi\)
\(98\) −6.62210 + 2.26887i −0.668933 + 0.229191i
\(99\) 14.2545 5.55768i 1.43263 0.558568i
\(100\) 1.49334 0.149334
\(101\) −6.30051 −0.626924 −0.313462 0.949601i \(-0.601489\pi\)
−0.313462 + 0.949601i \(0.601489\pi\)
\(102\) 0.948185 + 5.04217i 0.0938843 + 0.499249i
\(103\) 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
\(107\) 5.32321 + 3.07336i 0.514614 + 0.297113i 0.734728 0.678362i \(-0.237310\pi\)
−0.220114 + 0.975474i \(0.570643\pi\)
\(108\) 2.44341 4.58582i 0.235118 0.441271i
\(109\) 10.8967 + 6.29124i 1.04372 + 0.602591i 0.920884 0.389836i \(-0.127468\pi\)
0.122834 + 0.992427i \(0.460802\pi\)
\(110\) 9.55006i 0.910562i
\(111\) 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 0.587911 0.808926i \(-0.299951\pi\)
−0.406595 + 0.913609i \(0.633284\pi\)
\(114\) −4.25147 1.49300i −0.398187 0.139832i
\(115\) −11.3658 −1.05987
\(116\) −7.30144 4.21549i −0.677921 0.391398i
\(117\) −10.7597 1.10900i −0.994730 0.102527i
\(118\) 2.20283i 0.202787i
\(119\) 1.28759 + 7.73055i 0.118033 + 0.708658i
\(120\) 2.11291 + 2.46081i 0.192881 + 0.224640i
\(121\) 15.0087 1.36443
\(122\) 5.11154 + 2.95115i 0.462777 + 0.267185i
\(123\) 6.32547 + 7.36699i 0.570348 + 0.664259i
\(124\) 8.19594 0.736017
\(125\) 12.1595i 1.08758i
\(126\) 3.87752 6.92567i 0.345437 0.616987i
\(127\) −3.67232 6.36064i −0.325866 0.564416i 0.655822 0.754916i \(-0.272322\pi\)
−0.981687 + 0.190500i \(0.938989\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 15.9412 + 5.59810i 1.40354 + 0.492885i
\(130\) 3.08465 6.00595i 0.270542 0.526757i
\(131\) 0.465541 + 0.806340i 0.0406745 + 0.0704503i 0.885646 0.464361i \(-0.153716\pi\)
−0.844971 + 0.534811i \(0.820383\pi\)
\(132\) 6.70179 5.75431i 0.583316 0.500849i
\(133\) −6.44531 2.41541i −0.558879 0.209443i
\(134\) 9.56582 + 5.52283i 0.826361 + 0.477100i
\(135\) −8.58743 4.57555i −0.739089 0.393801i
\(136\) 1.48106 + 2.56527i 0.127000 + 0.219970i
\(137\) −1.07857 1.86814i −0.0921483 0.159606i 0.816267 0.577675i \(-0.196040\pi\)
−0.908415 + 0.418070i \(0.862707\pi\)
\(138\) 6.84837 + 7.97599i 0.582972 + 0.678961i
\(139\) −7.18997 4.15113i −0.609845 0.352094i 0.163060 0.986616i \(-0.447864\pi\)
−0.772905 + 0.634522i \(0.781197\pi\)
\(140\) 3.14850 + 3.82538i 0.266097 + 0.323304i
\(141\) 3.52699 + 4.10772i 0.297026 + 0.345933i
\(142\) −7.27923 12.6080i −0.610860 1.05804i
\(143\) −16.3567 8.40077i −1.36781 0.702508i
\(144\) 0.453768 2.96548i 0.0378140 0.247124i
\(145\) −7.89395 + 13.6727i −0.655557 + 1.13546i
\(146\) −1.99779 3.46027i −0.165338 0.286374i
\(147\) 6.14214 10.4534i 0.506595 0.862184i
\(148\) 6.37656i 0.524150i
\(149\) 3.95824 0.324271 0.162136 0.986768i \(-0.448162\pi\)
0.162136 + 0.986768i \(0.448162\pi\)
\(150\) −1.96242 + 1.68498i −0.160231 + 0.137578i
\(151\) −4.82241 2.78422i −0.392442 0.226576i 0.290776 0.956791i \(-0.406087\pi\)
−0.683218 + 0.730215i \(0.739420\pi\)
\(152\) −2.60154 −0.211013
\(153\) −6.93522 5.55610i −0.560680 0.449184i
\(154\) 10.4181 8.57465i 0.839512 0.690965i
\(155\) 15.3478i 1.23276i
\(156\) −6.07333 + 1.45417i −0.486256 + 0.116427i
\(157\) 6.31098 + 3.64365i 0.503671 + 0.290795i 0.730228 0.683203i \(-0.239414\pi\)
−0.226557 + 0.973998i \(0.572747\pi\)
\(158\) 10.2926 0.818835
\(159\) 5.44581 15.5075i 0.431881 1.22983i
\(160\) 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
\(163\) 19.8091i 1.55157i −0.630997 0.775785i \(-0.717354\pi\)
0.630997 0.775785i \(-0.282646\pi\)
\(164\) 4.85500 + 2.80304i 0.379112 + 0.218880i
\(165\) −10.7756 12.5498i −0.838876 0.977002i
\(166\) 8.34337 + 4.81704i 0.647571 + 0.373875i
\(167\) 13.0891 7.55698i 1.01286 0.584777i 0.100834 0.994903i \(-0.467849\pi\)
0.912029 + 0.410126i \(0.134515\pi\)
\(168\) 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
\(171\) 7.27149 2.83508i 0.556065 0.216804i
\(172\) 9.75466 0.743786
\(173\) −19.2543 −1.46387 −0.731937 0.681372i \(-0.761384\pi\)
−0.731937 + 0.681372i \(0.761384\pi\)
\(174\) 14.3513 2.69878i 1.08797 0.204594i
\(175\) −3.05062 + 2.51083i −0.230605 + 0.189801i
\(176\) 2.54994 4.41662i 0.192209 0.332915i
\(177\) −2.48551 2.89476i −0.186822 0.217583i
\(178\) 12.7850 7.38141i 0.958275 0.553260i
\(179\) 5.37303i 0.401599i −0.979632 0.200800i \(-0.935646\pi\)
0.979632 0.200800i \(-0.0643540\pi\)
\(180\) −5.55318 0.849728i −0.413910 0.0633350i
\(181\) 11.3131i 0.840893i 0.907317 + 0.420446i \(0.138126\pi\)
−0.907317 + 0.420446i \(0.861874\pi\)
\(182\) −9.32144 + 2.02751i −0.690951 + 0.150289i
\(183\) −10.0470 + 1.88934i −0.742694 + 0.139664i
\(184\) 5.25634 + 3.03475i 0.387503 + 0.223725i
\(185\) −11.9408 −0.877904
\(186\) −10.7704 + 9.24768i −0.789721 + 0.678073i
\(187\) −7.55323 13.0826i −0.552347 0.956693i
\(188\) 2.70708 + 1.56293i 0.197434 + 0.113988i
\(189\) 2.71892 + 13.4762i 0.197772 + 0.980248i
\(190\) 4.87167i 0.353428i
\(191\) 3.17384i 0.229651i 0.993386 + 0.114826i \(0.0366309\pi\)
−0.993386 + 0.114826i \(0.963369\pi\)
\(192\) −0.320103 1.70221i −0.0231014 0.122847i
\(193\) 0.209316i 0.0150669i −0.999972 0.00753344i \(-0.997602\pi\)
0.999972 0.00753344i \(-0.00239799\pi\)
\(194\) −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 0.971010 + 0.239040i \(0.0768328\pi\)
−0.278490 + 0.960439i \(0.589834\pi\)
\(198\) −2.31416 + 15.1236i −0.164460 + 1.07479i
\(199\) −12.5175 + 7.22696i −0.887339 + 0.512306i −0.873071 0.487593i \(-0.837875\pi\)
−0.0142681 + 0.999898i \(0.504542\pi\)
\(200\) −0.746672 + 1.29327i −0.0527977 + 0.0914483i
\(201\) −18.8021 + 3.53575i −1.32620 + 0.249392i
\(202\) 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
\(205\) 5.24898 9.09150i 0.366605 0.634978i
\(206\) 5.76406i 0.401601i
\(207\) −17.9990 2.75414i −1.25102 0.191426i
\(208\) −3.03019 + 1.95395i −0.210106 + 0.135482i
\(209\) 13.2675 0.917735
\(210\) −8.45374 1.47444i −0.583364 0.101746i
\(211\) 5.78954 + 10.0278i 0.398568 + 0.690341i 0.993550 0.113399i \(-0.0361738\pi\)
−0.594981 + 0.803740i \(0.702840\pi\)
\(212\) 9.48930i 0.651728i
\(213\) 23.7916 + 8.35496i 1.63018 + 0.572472i
\(214\) −5.32321 + 3.07336i −0.363887 + 0.210090i
\(215\) 18.2666i 1.24577i
\(216\) 2.74973 + 4.40897i 0.187095 + 0.299992i
\(217\) −16.7428 + 13.7802i −1.13657 + 0.935462i
\(218\) −10.8967 + 6.29124i −0.738020 + 0.426096i
\(219\) 6.52962 + 2.29302i 0.441231 + 0.154948i
\(220\) −8.27059 4.77503i −0.557603 0.321932i
\(221\) 0.524511 + 10.6672i 0.0352824 + 0.717554i
\(222\) 7.19483 + 8.37950i 0.482885 + 0.562395i
\(223\) 3.33759 + 5.78088i 0.223502 + 0.387116i 0.955869 0.293794i \(-0.0949178\pi\)
−0.732367 + 0.680910i \(0.761584\pi\)
\(224\) −0.434683 2.60980i −0.0290435 0.174375i
\(225\) 0.677631 4.42849i 0.0451754 0.295233i
\(226\) −1.92741 + 1.11279i −0.128210 + 0.0740219i
\(227\) −16.0059 + 9.24099i −1.06235 + 0.613346i −0.926080 0.377327i \(-0.876843\pi\)
−0.136266 + 0.990672i \(0.543510\pi\)
\(228\) 3.41871 2.93538i 0.226410 0.194401i
\(229\) 0.100542 + 0.174145i 0.00664403 + 0.0115078i 0.869328 0.494235i \(-0.164552\pi\)
−0.862684 + 0.505743i \(0.831218\pi\)
\(230\) 5.68289 9.84306i 0.374719 0.649032i
\(231\) −4.01550 + 23.0230i −0.264200 + 1.51480i
\(232\) 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 \(0.195323\pi\)
\(234\) 6.34025 8.76363i 0.414475 0.572896i
\(235\) 2.92675 5.06929i 0.190920 0.330684i
\(236\) −1.90771 1.10141i −0.124181 0.0716960i
\(237\) −13.5256 + 11.6134i −0.878582 + 0.754371i
\(238\) −7.33864 2.75019i −0.475694 0.178268i
\(239\) 30.2795 1.95862 0.979311 0.202363i \(-0.0648621\pi\)
0.979311 + 0.202363i \(0.0648621\pi\)
\(240\) −3.18758 + 0.599427i −0.205757 + 0.0386928i
\(241\) 4.17255 + 7.22708i 0.268778 + 0.465537i 0.968546 0.248833i \(-0.0800469\pi\)
−0.699769 + 0.714370i \(0.746714\pi\)
\(242\) −7.50436 + 12.9979i −0.482398 + 0.835538i
\(243\) −12.4904 9.32680i −0.801261 0.598315i
\(244\) −5.11154 + 2.95115i −0.327233 + 0.188928i
\(245\) −12.8636 2.52081i −0.821824 0.161048i
\(246\) −9.54273 + 1.79452i −0.608422 + 0.114414i
\(247\) −8.34384 4.28539i −0.530906 0.272673i
\(248\) −4.09797 + 7.09789i −0.260221 + 0.450717i
\(249\) −16.3993 + 3.08390i −1.03926 + 0.195434i
\(250\) 10.5304 + 6.07974i 0.666002 + 0.384517i
\(251\) −0.325183 + 0.563233i −0.0205253 + 0.0355509i −0.876106 0.482119i \(-0.839867\pi\)
0.855580 + 0.517670i \(0.173201\pi\)
\(252\) 4.05904 + 6.82086i 0.255696 + 0.429674i
\(253\) −26.8067 15.4768i −1.68532 0.973021i
\(254\) 7.34464 0.460844
\(255\) −3.18331 + 9.06480i −0.199346 + 0.567660i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −3.70925 + 6.42461i −0.231377 + 0.400756i −0.958213 0.286054i \(-0.907656\pi\)
0.726837 + 0.686810i \(0.240990\pi\)
\(258\) −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
\(261\) −15.8141 + 19.7394i −0.978869 + 1.22184i
\(262\) −0.931081 −0.0575224
\(263\) 20.0513i 1.23642i 0.786013 + 0.618209i \(0.212142\pi\)
−0.786013 + 0.618209i \(0.787858\pi\)
\(264\) 1.63248 + 8.68108i 0.100472 + 0.534283i
\(265\) −17.7697 −1.09159
\(266\) 5.31446 4.37409i 0.325850 0.268193i
\(267\) −8.47223 + 24.1256i −0.518492 + 1.47646i
\(268\) −9.56582 + 5.52283i −0.584325 + 0.337360i
\(269\) 6.24251 + 10.8123i 0.380612 + 0.659240i 0.991150 0.132747i \(-0.0423799\pi\)
−0.610538 + 0.791987i \(0.709047\pi\)
\(270\) 8.25626 5.14916i 0.502460 0.313368i
\(271\) −1.43966 + 2.49356i −0.0874530 + 0.151473i −0.906434 0.422348i \(-0.861206\pi\)
0.818981 + 0.573821i \(0.194539\pi\)
\(272\) −2.96212 −0.179605
\(273\) 9.96171 13.1820i 0.602910 0.797809i
\(274\) 2.15714 0.130317
\(275\) 3.80794 6.59554i 0.229627 0.397726i
\(276\) −10.3316 + 1.94287i −0.621889 + 0.116947i
\(277\) −4.00146 6.93073i −0.240424 0.416427i 0.720411 0.693548i \(-0.243953\pi\)
−0.960835 + 0.277120i \(0.910620\pi\)
\(278\) 7.18997 4.15113i 0.431226 0.248968i
\(279\) 3.71905 24.3049i 0.222654 1.45510i
\(280\) −4.88713 + 0.813991i −0.292062 + 0.0486453i
\(281\) −6.16209 −0.367599 −0.183800 0.982964i \(-0.558840\pi\)
−0.183800 + 0.982964i \(0.558840\pi\)
\(282\) −5.32089 + 1.00060i −0.316854 + 0.0595847i
\(283\) 13.7428i 0.816926i −0.912775 0.408463i \(-0.866065\pi\)
0.912775 0.408463i \(-0.133935\pi\)
\(284\) 14.5585 0.863886
\(285\) −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
\(288\) 2.34130 + 1.87572i 0.137962 + 0.110528i
\(289\) 4.11291 7.12377i 0.241936 0.419045i
\(290\) −7.89395 13.6727i −0.463549 0.802890i
\(291\) 19.0830 + 6.70142i 1.11867 + 0.392844i
\(292\) 3.99557 0.233823
\(293\) 4.43117 + 2.55834i 0.258872 + 0.149460i 0.623820 0.781568i \(-0.285580\pi\)
−0.364948 + 0.931028i \(0.618913\pi\)
\(294\) 5.98186 + 10.5460i 0.348869 + 0.615053i
\(295\) −2.06252 + 3.57238i −0.120084 + 0.207992i
\(296\) 5.52226 + 3.18828i 0.320975 + 0.185315i
\(297\) −14.0233 22.4852i −0.813712 1.30472i
\(298\) −1.97912 + 3.42793i −0.114647 + 0.198575i
\(299\) 11.8595 + 18.3918i 0.685853 + 1.06362i
\(300\) −0.478024 2.54199i −0.0275987 0.146762i
\(301\) −19.9269 + 16.4010i −1.14857 + 0.945335i
\(302\) 4.82241 2.78422i 0.277498 0.160214i
\(303\) 2.01681 + 10.7248i 0.115863 + 0.616125i
\(304\) 1.30077 2.25300i 0.0746044 0.129219i
\(305\) 5.52634 + 9.57191i 0.316437 + 0.548086i
\(306\) 8.27934 3.22803i 0.473298 0.184534i
\(307\) −1.12751 −0.0643502 −0.0321751 0.999482i \(-0.510243\pi\)
−0.0321751 + 0.999482i \(0.510243\pi\)
\(308\) 2.21683 + 13.3096i 0.126316 + 0.758387i
\(309\) −6.50373 7.57461i −0.369984 0.430904i
\(310\) 13.2916 + 7.67389i 0.754910 + 0.435847i
\(311\) 5.59744 9.69505i 0.317402 0.549756i −0.662543 0.749023i \(-0.730523\pi\)
0.979945 + 0.199268i \(0.0638563\pi\)
\(312\) 1.77732 5.98675i 0.100621 0.338933i
\(313\) 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
\(315\) 12.7728 7.60099i 0.719665 0.428267i
\(316\) −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 \(-0.419879\pi\)
\(318\) 10.7070 + 12.4700i 0.600419 + 0.699282i
\(319\) −37.2364 + 21.4984i −2.08484 + 1.20368i
\(320\) −1.62172 + 0.936303i −0.0906572 + 0.0523409i
\(321\) 3.52754 10.0450i 0.196888 0.560659i
\(322\) −15.8402 + 2.63831i −0.882739 + 0.147027i
\(323\) −3.85305 6.67367i −0.214389 0.371333i
\(324\) −8.58819 2.69128i −0.477122 0.149516i
\(325\) −4.52513 + 2.91792i −0.251009 + 0.161857i
\(326\) 17.1552 + 9.90456i 0.950139 + 0.548563i
\(327\) 7.22095 20.5624i 0.399320 1.13711i
\(328\) −4.85500 + 2.80304i −0.268072 + 0.154772i
\(329\) −8.15787 + 1.35876i −0.449758 + 0.0749109i
\(330\) 16.2562 3.05700i 0.894877 0.168282i
\(331\) 7.18613i 0.394985i −0.980304 0.197493i \(-0.936720\pi\)
0.980304 0.197493i \(-0.0632798\pi\)
\(332\) −8.34337 + 4.81704i −0.457902 + 0.264370i
\(333\) −18.9096 2.89348i −1.03624 0.158561i
\(334\) 15.1140i 0.826999i
\(335\) 10.3421 + 17.9130i 0.565048 + 0.978692i
\(336\) 3.51592 + 2.93910i 0.191809 + 0.160341i
\(337\) 19.2711 1.04976 0.524882 0.851175i \(-0.324109\pi\)
0.524882 + 0.851175i \(0.324109\pi\)
\(338\) −12.9373 + 1.27535i −0.703696 + 0.0693697i
\(339\) 1.27724 3.63708i 0.0693703 0.197539i
\(340\) 5.54689i 0.300823i
\(341\) 20.8991 36.1984i 1.13175 1.96025i
\(342\) −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
\(345\) 3.63822 + 19.3470i 0.195875 + 1.04161i
\(346\) 9.62713 16.6747i 0.517558 0.896436i
\(347\) −6.75144 + 3.89795i −0.362436 + 0.209253i −0.670149 0.742227i \(-0.733770\pi\)
0.307713 + 0.951479i \(0.400436\pi\)
\(348\) −4.83845 + 13.7780i −0.259368 + 0.738578i
\(349\) −7.17103 12.4206i −0.383857 0.664859i 0.607753 0.794126i \(-0.292071\pi\)
−0.991610 + 0.129267i \(0.958738\pi\)
\(350\) −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
\(353\) 25.4388i 1.35397i 0.735997 + 0.676985i \(0.236714\pi\)
−0.735997 + 0.676985i \(0.763286\pi\)
\(354\) 3.74969 0.705132i 0.199294 0.0374773i
\(355\) 27.2623i 1.44693i
\(356\) 14.7628i 0.782428i
\(357\) 12.7469 4.66632i 0.674637 0.246968i
\(358\) 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 \(0.750505\pi\)
\(360\) 3.51248 4.38433i 0.185124 0.231075i
\(361\) −12.2320 −0.643788
\(362\) −9.79739 5.65653i −0.514939 0.297300i
\(363\) −4.80433 25.5481i −0.252162 1.34092i
\(364\) 2.90485 9.08636i 0.152255 0.476254i
\(365\) 7.48214i 0.391633i
\(366\) 3.38727 9.64561i 0.177055 0.504184i
\(367\) 14.5427i 0.759120i −0.925167 0.379560i \(-0.876075\pi\)
0.925167 0.379560i \(-0.123925\pi\)
\(368\) −5.25634 + 3.03475i −0.274006 + 0.158197i
\(369\) 10.5154 13.1255i 0.547410 0.683286i
\(370\) 5.97039 10.3410i 0.310386 0.537604i
\(371\) 15.9548 + 19.3848i 0.828332 + 1.00641i
\(372\) −2.62354 13.9512i −0.136024 0.723339i
\(373\) −13.7536 −0.712133 −0.356067 0.934461i \(-0.615882\pi\)
−0.356067 + 0.934461i \(0.615882\pi\)
\(374\) 15.1065 0.781136
\(375\) −20.6980 + 3.89229i −1.06884 + 0.200997i
\(376\) −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 0.311355 0.950294i \(-0.399217\pi\)
0.978656 + 0.205505i \(0.0658838\pi\)
\(380\) −4.21899 2.43583i −0.216429 0.124956i
\(381\) −9.65166 + 8.28714i −0.494470 + 0.424563i
\(382\) −2.74863 1.58692i −0.140632 0.0811939i
\(383\) 5.59893i 0.286092i 0.989716 + 0.143046i \(0.0456897\pi\)
−0.989716 + 0.143046i \(0.954310\pi\)
\(384\) 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
\(387\) 4.42635 28.9273i 0.225004 1.47046i
\(388\) 11.6772 0.592820
\(389\) 4.31018 + 2.48848i 0.218535 + 0.126171i 0.605272 0.796019i \(-0.293065\pi\)
−0.386737 + 0.922190i \(0.626398\pi\)
\(390\) −11.2108 3.32822i −0.567682 0.168531i
\(391\) 17.9786i 0.909218i
\(392\) 5.27595 + 4.60047i 0.266476 + 0.232359i
\(393\) 1.22354 1.05056i 0.0617196 0.0529938i
\(394\) −19.4400 −0.979371
\(395\) 16.6918 + 9.63699i 0.839854 + 0.484890i
\(396\) −11.9403 9.56592i −0.600025 0.480705i
\(397\) 16.2382 0.814974 0.407487 0.913211i \(-0.366405\pi\)
0.407487 + 0.913211i \(0.366405\pi\)
\(398\) 14.4539i 0.724510i
\(399\) −2.04838 + 11.7445i −0.102547 + 0.587959i
\(400\) −0.746672 1.29327i −0.0373336 0.0646637i
\(401\) 3.46023 5.99329i 0.172795 0.299290i −0.766601 0.642124i \(-0.778053\pi\)
0.939396 + 0.342834i \(0.111387\pi\)
\(402\) 6.33899 18.0509i 0.316160 0.900299i
\(403\) −24.8353 + 16.0145i −1.23713 + 0.797737i
\(404\) 3.15026 + 5.45640i 0.156731 + 0.271466i
\(405\) −5.03971 + 16.0823i −0.250425 + 0.799136i
\(406\) −7.82776 + 20.8877i −0.388485 + 1.03664i
\(407\) −28.1628 16.2598i −1.39598 0.805970i
\(408\) 3.89256 3.34224i 0.192710 0.165465i
\(409\) 5.69146 + 9.85790i 0.281425 + 0.487442i 0.971736 0.236071i \(-0.0758597\pi\)
−0.690311 + 0.723513i \(0.742526\pi\)
\(410\) 5.24898 + 9.09150i 0.259229 + 0.448997i
\(411\) −2.83471 + 2.43395i −0.139826 + 0.120058i
\(412\) −4.99182 2.88203i −0.245930 0.141987i
\(413\) 5.74894 0.957533i 0.282887 0.0471171i
\(414\) 11.3847 14.2105i 0.559526 0.698409i
\(415\) 9.02043 + 15.6238i 0.442795 + 0.766944i
\(416\) −0.177072 3.60120i −0.00868169 0.176563i
\(417\) −4.76458 + 13.5677i −0.233323 + 0.664411i
\(418\) −6.63377 + 11.4900i −0.324468 + 0.561996i
\(419\) −4.51941 7.82784i −0.220788 0.382415i 0.734260 0.678869i \(-0.237529\pi\)
−0.955047 + 0.296453i \(0.904196\pi\)
\(420\) 5.50377 6.58394i 0.268557 0.321263i
\(421\) 3.07453i 0.149844i −0.997189 0.0749218i \(-0.976129\pi\)
0.997189 0.0749218i \(-0.0238707\pi\)
\(422\) −11.5791 −0.563661
\(423\) 5.86323 7.31858i 0.285080 0.355842i
\(424\) 8.21797 + 4.74465i 0.399100 + 0.230421i
\(425\) −4.42347 −0.214570
\(426\) −19.1314 + 16.4267i −0.926920 + 0.795875i
\(427\) 5.48000 14.6229i 0.265196 0.707652i
\(428\) 6.14671i 0.297113i
\(429\) −9.06410 + 30.5317i −0.437619 + 1.47408i
\(430\) 15.8194 + 9.13332i 0.762878 + 0.440448i
\(431\) 23.2809 1.12140 0.560700 0.828019i \(-0.310532\pi\)
0.560700 + 0.828019i \(0.310532\pi\)
\(432\) −5.19314 + 0.176850i −0.249855 + 0.00850872i
\(433\) 23.9459 + 13.8252i 1.15077 + 0.664396i 0.949074 0.315053i \(-0.102022\pi\)
0.201693 + 0.979449i \(0.435356\pi\)
\(434\) −3.56264 21.3898i −0.171012 1.02674i
\(435\) 25.8008 + 9.06051i 1.23705 + 0.434418i
\(436\) 12.5825i 0.602591i
\(437\) −13.6746 7.89503i −0.654145 0.377671i
\(438\) −5.25062 + 4.50830i −0.250884 + 0.215415i
\(439\) −3.78672 2.18627i −0.180731 0.104345i 0.406905 0.913470i \(-0.366608\pi\)
−0.587636 + 0.809126i \(0.699941\pi\)
\(440\) 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 \(0.353523\pi\)
\(444\) −10.8543 + 2.04116i −0.515121 + 0.0968689i
\(445\) 27.6450 1.31050
\(446\) −6.67519 −0.316079
\(447\) −1.26704 6.73777i −0.0599291 0.318685i
\(448\) 2.47749 + 0.928453i 0.117051 + 0.0438653i
\(449\) 7.64162 13.2357i 0.360630 0.624630i −0.627434 0.778670i \(-0.715895\pi\)
0.988065 + 0.154039i \(0.0492282\pi\)
\(450\) 3.49637 + 2.80109i 0.164820 + 0.132045i
\(451\) 24.7599 14.2951i 1.16590 0.673131i
\(452\) 2.22559i 0.104683i
\(453\) −3.19567 + 9.10000i −0.150146 + 0.427555i
\(454\) 18.4820i 0.867402i
\(455\) −17.0152 5.43964i −0.797683 0.255014i
\(456\) 0.832761 + 4.42838i 0.0389976 + 0.207378i
\(457\) 6.00766 + 3.46853i 0.281027 + 0.162251i 0.633888 0.773425i \(-0.281458\pi\)
−0.352861 + 0.935676i \(0.614791\pi\)
\(458\) −0.201085 −0.00939607
\(459\) −7.23770 + 13.5838i −0.337827 + 0.634036i
\(460\) 5.68289 + 9.84306i 0.264966 + 0.458935i
\(461\) −17.6491 10.1897i −0.822001 0.474582i 0.0291053 0.999576i \(-0.490734\pi\)
−0.851106 + 0.524994i \(0.824068\pi\)
\(462\) −17.9308 14.9890i −0.834214 0.697353i
\(463\) 22.4244i 1.04215i 0.853511 + 0.521075i \(0.174469\pi\)
−0.853511 + 0.521075i \(0.825531\pi\)
\(464\) 8.43097i 0.391398i
\(465\) −26.1252 + 4.91287i −1.21153 + 0.227829i
\(466\) 12.8256i 0.594134i
\(467\) 9.83436 + 17.0336i 0.455080 + 0.788221i 0.998693 0.0511146i \(-0.0162774\pi\)
−0.543613 + 0.839336i \(0.682944\pi\)
\(468\) 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
\(471\) 4.18211 11.9090i 0.192701 0.548737i
\(472\) 1.90771 1.10141i 0.0878093 0.0506967i
\(473\) 24.8738 43.0826i 1.14370 1.98094i
\(474\) −3.29469 17.5202i −0.151330 0.804730i
\(475\) 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
\(478\) −15.1398 + 26.2229i −0.692477 + 1.19941i
\(479\) 19.0205i 0.869070i −0.900655 0.434535i \(-0.856913\pi\)
0.900655 0.434535i \(-0.143087\pi\)
\(480\) 1.07467 3.06024i 0.0490518 0.139680i
\(481\) 12.4595 + 19.3222i 0.568103 + 0.881017i
\(482\) −8.34511 −0.380109
\(483\) 17.8389 21.3399i 0.811696 0.970999i
\(484\) −7.50436 12.9979i −0.341107 0.590815i
\(485\) 21.8668i 0.992920i
\(486\) 14.3225 6.15363i 0.649680 0.279134i
\(487\) 19.4629 11.2369i 0.881947 0.509192i 0.0106472 0.999943i \(-0.496611\pi\)
0.871300 + 0.490751i \(0.163277\pi\)
\(488\) 5.90230i 0.267185i
\(489\) −33.7194 + 6.34096i −1.52484 + 0.286748i
\(490\) 8.61487 9.87978i 0.389180 0.446323i
\(491\) 25.7148 14.8464i 1.16049 0.670010i 0.209069 0.977901i \(-0.432957\pi\)
0.951422 + 0.307891i \(0.0996233\pi\)
\(492\) 3.21727 9.16151i 0.145046 0.413033i
\(493\) 21.6278 + 12.4868i 0.974065 + 0.562377i
\(494\) 7.88318 5.08328i 0.354681 0.228708i
\(495\) −17.9132 + 22.3596i −0.805138 + 1.00499i
\(496\) −4.09797 7.09789i −0.184004 0.318705i
\(497\) −29.7402 + 24.4778i −1.33403 + 1.09798i
\(498\) 5.52891 15.7441i 0.247756 0.705512i
\(499\) −6.50477 + 3.75553i −0.291193 + 0.168121i −0.638480 0.769638i \(-0.720436\pi\)
0.347287 + 0.937759i \(0.387103\pi\)
\(500\) −10.5304 + 6.07974i −0.470935 + 0.271894i
\(501\) −17.0535 19.8614i −0.761892 0.887342i
\(502\) −0.325183 0.563233i −0.0145136 0.0251383i
\(503\) 14.6024 25.2921i 0.651089 1.12772i −0.331770 0.943360i \(-0.607646\pi\)
0.982859 0.184358i \(-0.0590207\pi\)
\(504\) −7.93656 + 0.104805i −0.353523 + 0.00466837i
\(505\) 10.2177 5.89919i 0.454682 0.262511i
\(506\) 26.8067 15.4768i 1.19170 0.688030i
\(507\) 15.5620 16.2734i 0.691133 0.722727i
\(508\) −3.67232 + 6.36064i −0.162933 + 0.282208i
\(509\) 33.1098 + 19.1160i 1.46757 + 0.847301i 0.999341 0.0363071i \(-0.0115594\pi\)
0.468227 + 0.883608i \(0.344893\pi\)
\(510\) −6.25870 7.28922i −0.277140 0.322772i
\(511\) −8.16220 + 6.71794i −0.361075 + 0.297184i
\(512\) 1.00000 0.0441942
\(513\) −7.15353 11.4701i −0.315836 0.506418i
\(514\) −3.70925 6.42461i −0.163608 0.283377i
\(515\) −5.39691 + 9.34772i −0.237816 + 0.411910i
\(516\) −3.12249 16.6045i −0.137460 0.730973i
\(517\) 13.8057 7.97075i 0.607176 0.350553i
\(518\) −16.6415 + 2.77178i −0.731187 + 0.121785i
\(519\) 6.16335 + 32.7749i 0.270541 + 1.43866i
\(520\) −6.74363 + 0.331587i −0.295728 + 0.0145411i
\(521\) −1.01347 + 1.75537i −0.0444008 + 0.0769044i −0.887372 0.461055i \(-0.847471\pi\)
0.842971 + 0.537959i \(0.180805\pi\)
\(522\) −9.18780 23.5651i −0.402139 1.03142i
\(523\) −12.9768 7.49219i −0.567438 0.327610i 0.188687 0.982037i \(-0.439577\pi\)
−0.756125 + 0.654427i \(0.772910\pi\)
\(524\) 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
\(527\) −24.2774 −1.05754
\(528\) −8.33428 2.92677i −0.362703 0.127371i
\(529\) 6.91943 + 11.9848i 0.300845 + 0.521078i
\(530\) 8.88486 15.3890i 0.385934 0.668457i
\(531\) −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
\(534\) −16.6573 19.4000i −0.720830 0.839518i
\(535\) −11.5104 −0.497637
\(536\) 11.0457i 0.477100i
\(537\) −9.14605 + 1.71992i −0.394681 + 0.0742201i
\(538\) −12.4850 −0.538267
\(539\) −26.9067 23.4618i −1.15895 1.01057i
\(540\) 0.331171 + 9.72471i 0.0142513 + 0.418485i
\(541\) 0.930484 0.537215i 0.0400046 0.0230967i −0.479864 0.877343i \(-0.659314\pi\)
0.519869 + 0.854246i \(0.325981\pi\)
\(542\) −1.43966 2.49356i −0.0618386 0.107108i
\(543\) 19.2572 3.62134i 0.826407 0.155407i
\(544\) 1.48106 2.56527i 0.0635000 0.109985i
\(545\) −23.5620 −1.00929
\(546\) 6.43507 + 15.2181i 0.275396 + 0.651274i
\(547\) −26.8765 −1.14916 −0.574578 0.818450i \(-0.694834\pi\)
−0.574578 + 0.818450i \(0.694834\pi\)
\(548\) −1.07857 + 1.86814i −0.0460742 + 0.0798028i
\(549\) 6.43214 + 16.4973i 0.274517 + 0.704089i
\(550\) 3.80794 + 6.59554i 0.162371 + 0.281235i
\(551\) −18.9950 + 10.9668i −0.809214 + 0.467200i
\(552\) 3.48323 9.91886i 0.148256 0.422175i
\(553\) −4.47402 26.8616i −0.190255 1.14227i
\(554\) 8.00292 0.340011
\(555\) 3.82228 + 20.3258i 0.162247 + 0.862781i
\(556\) 8.30226i 0.352094i
\(557\) 27.1489 1.15033 0.575167 0.818036i \(-0.304937\pi\)
0.575167 + 0.818036i \(0.304937\pi\)
\(558\) 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
\(561\) −19.8515 + 17.0450i −0.838133 + 0.719640i
\(562\) 3.08104 5.33653i 0.129966 0.225108i
\(563\) 8.15434 + 14.1237i 0.343664 + 0.595244i 0.985110 0.171924i \(-0.0549985\pi\)
−0.641446 + 0.767168i \(0.721665\pi\)
\(564\) 1.79390 5.10832i 0.0755368 0.215099i
\(565\) −4.16765 −0.175334
\(566\) 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
\(569\) 22.6413 + 13.0720i 0.949172 + 0.548005i 0.892824 0.450406i \(-0.148721\pi\)
0.0563486 + 0.998411i \(0.482054\pi\)
\(570\) 8.29262 1.55943i 0.347340 0.0653175i
\(571\) −0.114124 + 0.197668i −0.00477593 + 0.00827215i −0.868403 0.495858i \(-0.834854\pi\)
0.863628 + 0.504130i \(0.168187\pi\)
\(572\) 0.903047 + 18.3657i 0.0377583 + 0.767907i
\(573\) 5.40256 1.01596i 0.225695 0.0424422i
\(574\) 5.20497 13.8890i 0.217251 0.579716i
\(575\) −7.84953 + 4.53193i −0.327348 + 0.188995i
\(576\) −2.79507 + 1.08977i −0.116461 + 0.0454070i
\(577\) 8.82331 15.2824i 0.367319 0.636215i −0.621826 0.783155i \(-0.713609\pi\)
0.989145 + 0.146940i \(0.0469424\pi\)
\(578\) 4.11291 + 7.12377i 0.171075 + 0.296310i
\(579\) −0.356300 + 0.0670026i −0.0148073 + 0.00278453i
\(580\) 15.7879 0.655557
\(581\) 8.94479 23.8684i 0.371093 0.990228i
\(582\) −15.3451 + 13.1757i −0.636075 + 0.546149i
\(583\) −41.9106 24.1971i −1.73576 1.00214i
\(584\) −1.99779 + 3.46027i −0.0826690 + 0.143187i
\(585\) 18.4876 8.27580i 0.764366 0.342162i
\(586\) −4.43117 + 2.55834i −0.183050 + 0.105684i
\(587\) −13.2115 + 7.62767i −0.545298 + 0.314828i −0.747223 0.664573i \(-0.768613\pi\)
0.201926 + 0.979401i \(0.435280\pi\)
\(588\) −12.1240 0.0925368i −0.499985 0.00381615i
\(589\) 10.6610 18.4655i 0.439281 0.760857i
\(590\) −2.06252 3.57238i −0.0849124 0.147073i
\(591\) 25.5462 21.9346i 1.05083 0.902268i
\(592\) −5.52226 + 3.18828i −0.226964 + 0.131037i
\(593\) 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
\(595\) −9.32625 11.3313i −0.382339 0.464536i
\(596\) −1.97912 3.42793i −0.0810678 0.140414i
\(597\) 16.3087 + 18.9940i 0.667471 + 0.777374i
\(598\) −21.8575 + 1.07474i −0.893819 + 0.0439495i
\(599\) −21.8300 12.6035i −0.891949 0.514967i −0.0173692 0.999849i \(-0.505529\pi\)
−0.874579 + 0.484882i \(0.838862\pi\)
\(600\) 2.44044 + 0.857016i 0.0996307 + 0.0349875i
\(601\) 15.4945 8.94574i 0.632033 0.364904i −0.149506 0.988761i \(-0.547768\pi\)
0.781539 + 0.623856i \(0.214435\pi\)
\(602\) −4.24019 25.4577i −0.172817 1.03758i
\(603\) 12.0372 + 30.8734i 0.490192 + 1.25726i
\(604\) 5.56843i 0.226576i
\(605\) −24.3400 + 14.0527i −0.989562 + 0.571324i
\(606\) −10.2964 3.61580i −0.418262 0.146882i
\(607\) 26.4339i 1.07292i 0.843926 + 0.536459i \(0.180239\pi\)
−0.843926 + 0.536459i \(0.819761\pi\)
\(608\) 1.30077 + 2.25300i 0.0527532 + 0.0913713i
\(609\) −13.2816 36.2810i −0.538196 1.47018i
\(610\) −11.0527 −0.447510
\(611\) −11.2569 + 0.553504i −0.455404 + 0.0223924i
\(612\) −1.34412 + 8.78413i −0.0543327 + 0.355077i
\(613\) 8.25058i 0.333238i 0.986021 + 0.166619i \(0.0532850\pi\)
−0.986021 + 0.166619i \(0.946715\pi\)
\(614\) 0.563753 0.976449i 0.0227512 0.0394063i
\(615\) −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 −0.810412 0.585860i \(-0.800757\pi\)
0.912576 + 0.408907i \(0.134090\pi\)
\(618\) 9.81167 1.84509i 0.394683 0.0742205i
\(619\) −14.6995 + 25.4603i −0.590822 + 1.02333i 0.403300 + 0.915068i \(0.367863\pi\)
−0.994122 + 0.108266i \(0.965470\pi\)
\(620\) −13.2916 + 7.67389i −0.533802 + 0.308191i
\(621\) 1.07339 + 31.5198i 0.0430738 + 1.26485i
\(622\) 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
\(626\) 32.5122i 1.29945i
\(627\) −4.24698 22.5842i −0.169608 0.901926i
\(628\) 7.28729i 0.290795i
\(629\) 18.8882i 0.753120i
\(630\) 0.196258 + 14.8621i 0.00781911 + 0.592119i
\(631\) 31.4596 + 18.1632i 1.25239 + 0.723066i 0.971583 0.236699i \(-0.0760655\pi\)
0.280804 + 0.959765i \(0.409399\pi\)
\(632\) −5.14630 8.91365i −0.204709 0.354566i
\(633\) 15.2162 13.0650i 0.604789 0.519286i
\(634\) 25.4322 1.01004
\(635\) 11.9110 + 6.87681i 0.472673 + 0.272898i
\(636\) −16.1528 + 3.03755i −0.640501 + 0.120447i
\(637\) 9.34326 + 23.4458i 0.370193 + 0.928955i
\(638\) 42.9969i 1.70226i
\(639\) 6.60616 43.1729i 0.261336 1.70789i
\(640\) 1.87261i 0.0740213i
\(641\) −0.640544 + 0.369818i −0.0253000 + 0.0146069i −0.512597 0.858630i \(-0.671316\pi\)
0.487297 + 0.873236i \(0.337983\pi\)
\(642\) 6.93549 + 8.07745i 0.273722 + 0.318792i
\(643\) 2.41482 4.18259i 0.0952313 0.164945i −0.814474 0.580200i \(-0.802974\pi\)
0.909705 + 0.415255i \(0.136308\pi\)
\(644\) 5.63524 15.0372i 0.222060 0.592547i
\(645\) −31.0937 + 5.84720i −1.22431 + 0.230233i
\(646\) 7.70609 0.303192
\(647\) 4.04141 0.158884 0.0794422 0.996839i \(-0.474686\pi\)
0.0794422 + 0.996839i \(0.474686\pi\)
\(648\) 6.62481 6.09195i 0.260247 0.239314i
\(649\) −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
\(653\) 40.4464 + 23.3518i 1.58279 + 0.913825i 0.994450 + 0.105213i \(0.0335524\pi\)
0.588342 + 0.808612i \(0.299781\pi\)
\(654\) 14.1971 + 16.5347i 0.555151 + 0.646560i
\(655\) −1.50996 0.871775i −0.0589989 0.0340631i
\(656\) 5.60607i 0.218880i
\(657\) 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 −0.996048 0.0888111i \(-0.971693\pi\)
−0.574937 0.818198i \(-0.694973\pi\)
\(660\) −5.48068 + 15.6068i −0.213335 + 0.607495i
\(661\) −44.5873 −1.73424 −0.867122 0.498095i \(-0.834033\pi\)
−0.867122 + 0.498095i \(0.834033\pi\)
\(662\) 6.22337 + 3.59306i 0.241878 + 0.139648i
\(663\) 17.9900 4.30743i 0.698673 0.167287i
\(664\) 9.63409i 0.373875i
\(665\) 12.7141 2.11763i 0.493030 0.0821183i
\(666\) 11.9606 14.9294i 0.463464 0.578504i
\(667\) 51.1718 1.98138
\(668\) −13.0891 7.55698i −0.506432 0.292388i
\(669\) 8.77193 7.53178i 0.339142 0.291195i
\(670\) −20.6842 −0.799099
\(671\) 30.1010i 1.16204i
\(672\) −4.30329 + 1.57533i −0.166003 + 0.0607696i
\(673\) −7.92610 13.7284i −0.305529 0.529191i 0.671850 0.740687i \(-0.265500\pi\)
−0.977379 + 0.211496i \(0.932166\pi\)
\(674\) −9.63555 + 16.6893i −0.371148 + 0.642847i
\(675\) −7.75515 + 0.264099i −0.298496 + 0.0101652i
\(676\) 5.36416 11.8417i 0.206314 0.455450i
\(677\) 2.65460 + 4.59790i 0.102024 + 0.176711i 0.912519 0.409035i \(-0.134135\pi\)
−0.810494 + 0.585747i \(0.800801\pi\)
\(678\) 2.51118 + 2.92466i 0.0964415 + 0.112321i
\(679\) −23.8543 + 19.6334i −0.915444 + 0.753461i
\(680\) −4.80375 2.77345i −0.184215 0.106357i
\(681\) 20.8537 + 24.2873i 0.799114 + 0.930693i
\(682\) 20.8991 + 36.1984i 0.800269 + 1.38611i
\(683\) −5.98567 10.3675i −0.229035 0.396701i 0.728487 0.685059i \(-0.240224\pi\)
−0.957522 + 0.288359i \(0.906890\pi\)
\(684\) −6.09099 4.87976i −0.232895 0.186582i
\(685\) 3.49828 + 2.01973i 0.133662 + 0.0771701i
\(686\) −18.5128 0.527188i −0.706820 0.0201281i
\(687\) 0.264247 0.226889i 0.0100817 0.00865635i
\(688\) −4.87733 8.44778i −0.185946 0.322069i
\(689\) 18.5416 + 28.7544i 0.706379 + 1.09546i
\(690\) −18.5741 6.52271i −0.707104 0.248315i
\(691\) 19.4945 33.7655i 0.741608 1.28450i −0.210156 0.977668i \(-0.567397\pi\)
0.951763 0.306834i \(-0.0992696\pi\)
\(692\) 9.62713 + 16.6747i 0.365969 + 0.633876i
\(693\) 40.4755 0.534491i 1.53754 0.0203036i
\(694\) 7.79589i 0.295928i
\(695\) 15.5469 0.589726
\(696\) −9.51287 11.0792i −0.360585 0.419957i
\(697\) −14.3811 8.30294i −0.544723 0.314496i
\(698\) 14.3421 0.542855
\(699\) −14.4714 16.8542i −0.547360 0.637486i
\(700\) 3.69975 + 1.38650i 0.139838 + 0.0524048i
\(701\) 41.8339i 1.58005i −0.613078 0.790023i \(-0.710069\pi\)
0.613078 0.790023i \(-0.289931\pi\)
\(702\) −16.9471 7.98720i −0.639628 0.301458i
\(703\) −14.3664 8.29444i −0.541839 0.312831i
\(704\) −5.09987 −0.192209
\(705\) −9.56588 3.35927i −0.360272 0.126517i
\(706\) −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
\(709\) 11.4460i 0.429864i 0.976629 + 0.214932i \(0.0689530\pi\)
−0.976629 + 0.214932i \(0.931047\pi\)
\(710\) 23.6098 + 13.6311i 0.886061 + 0.511567i
\(711\) 24.0981 + 19.3060i 0.903748 + 0.724031i
\(712\) −12.7850 7.38141i −0.479137 0.276630i
\(713\) −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
\(717\) −9.69257 51.5423i −0.361976 1.92488i
\(718\) −9.74981 −0.363860
\(719\) −32.2996 −1.20457 −0.602286 0.798280i \(-0.705743\pi\)
−0.602286 + 0.798280i \(0.705743\pi\)
\(720\) 2.04071 + 5.23406i 0.0760526 + 0.195062i
\(721\) 15.0430 2.50554i 0.560232 0.0933113i
\(722\) 6.11599 10.5932i 0.227614 0.394238i
\(723\) 10.9664 9.41599i 0.407844 0.350184i
\(724\) 9.79739 5.65653i 0.364117 0.210223i
\(725\) 12.5904i 0.467594i
\(726\) 24.5274 + 8.61335i 0.910298 + 0.319671i
\(727\) 35.0984i 1.30173i −0.759195 0.650863i \(-0.774407\pi\)
0.759195 0.650863i \(-0.225593\pi\)
\(728\) 6.41659 + 7.05885i 0.237815 + 0.261618i
\(729\) −11.8780 + 24.2469i −0.439926 + 0.898034i
\(730\) 6.47972 + 3.74107i 0.239825 + 0.138463i
\(731\) −28.8945 −1.06870
\(732\) 6.65971 + 7.75627i 0.246150 + 0.286680i
\(733\) −1.14358 1.98073i −0.0422389 0.0731600i 0.844133 0.536134i \(-0.180116\pi\)
−0.886372 + 0.462974i \(0.846782\pi\)
\(734\) 12.5943 + 7.27133i 0.464864 + 0.268390i
\(735\) −0.173285 + 22.7035i −0.00639171 + 0.837431i
\(736\) 6.06950i 0.223725i
\(737\) 56.3314i 2.07500i
\(738\) 6.10931 + 15.6693i 0.224887 + 0.576797i
\(739\) 6.51596i 0.239693i 0.992792 + 0.119847i \(0.0382403\pi\)
−0.992792 + 0.119847i \(0.961760\pi\)
\(740\) 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 0.999298 + 0.0374682i \(0.0119293\pi\)
−0.467201 + 0.884151i \(0.654737\pi\)
\(744\) 13.3939 + 4.70357i 0.491045 + 0.172441i
\(745\) −6.41917 + 3.70611i −0.235180 + 0.135781i
\(746\) 6.87679 11.9109i 0.251777 0.436091i
\(747\) 10.4989 + 26.9279i 0.384135 + 0.985242i
\(748\) −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
\(751\) −15.4217 + 26.7111i −0.562744 + 0.974701i 0.434512 + 0.900666i \(0.356921\pi\)
−0.997256 + 0.0740350i \(0.976412\pi\)
\(752\) 3.12586i 0.113988i
\(753\) 1.06283 + 0.373238i 0.0387318 + 0.0136015i
\(754\) −13.8879 + 27.0404i −0.505769 + 0.984753i
\(755\) 10.4275 0.379495
\(756\) 10.3113 9.09274i 0.375017 0.330700i
\(757\) −10.6357 18.4215i −0.386560 0.669542i 0.605424 0.795903i \(-0.293004\pi\)
−0.991984 + 0.126361i \(0.959670\pi\)
\(758\) 28.9990i 1.05329i
\(759\) −17.7640 + 50.5849i −0.644793 + 1.83612i
\(760\) 4.21899 2.43583i 0.153039 0.0883569i
\(761\) 24.6519i 0.893632i −0.894626 0.446816i \(-0.852558\pi\)
0.894626 0.446816i \(-0.147442\pi\)
\(762\) −2.35104 12.5022i −0.0851692 0.452905i
\(763\) 21.1555 + 25.7036i 0.765880 + 0.930533i
\(764\) 2.74863 1.58692i 0.0994418 0.0574128i
\(765\) 16.4492 + 2.51700i 0.594723 + 0.0910023i
\(766\) −4.84882 2.79947i −0.175195 0.101149i
\(767\) 7.93283 0.390060i 0.286438 0.0140843i
\(768\) −1.31411 + 1.12832i −0.0474188 + 0.0407149i
\(769\) −6.30372 10.9184i −0.227318 0.393726i 0.729694 0.683773i \(-0.239662\pi\)
−0.957012 + 0.290047i \(0.906329\pi\)
\(770\) −8.86677 + 23.6602i −0.319536 + 0.852655i
\(771\) 12.1234 + 4.25740i 0.436614 + 0.153327i
\(772\) −0.181273 + 0.104658i −0.00652415 + 0.00376672i
\(773\) 17.4926 10.0993i 0.629164 0.363248i −0.151264 0.988493i \(-0.548334\pi\)
0.780428 + 0.625245i \(0.215001\pi\)
\(774\) 22.8386 + 18.2970i 0.820916 + 0.657671i
\(775\) −6.11968