Properties

Label 546.2.bu.b.197.3
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.3
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.12111 + 1.32027i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.381662 - 0.381662i) q^{5} +(-0.985117 - 1.42462i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.486221 - 2.96034i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.12111 + 1.32027i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.381662 - 0.381662i) q^{5} +(-0.985117 - 1.42462i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.486221 - 2.96034i) q^{9} +(0.467439 - 0.269876i) q^{10} +(-3.52958 - 0.945749i) q^{11} +(1.63104 - 0.582831i) q^{12} +(3.46166 - 1.00842i) q^{13} -1.00000i q^{14} +(0.931782 - 0.0760112i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.322533 - 0.558644i) q^{17} +(2.98531 + 0.296538i) q^{18} +(-1.44620 - 5.39728i) q^{19} +(0.139698 + 0.521360i) q^{20} +(0.741199 - 1.56545i) q^{21} +(1.82705 - 3.16454i) q^{22} +(0.605556 + 1.04885i) q^{23} +(0.140826 + 1.72632i) q^{24} -4.70867i q^{25} +(0.0781191 + 3.60470i) q^{26} +(4.45355 + 2.67692i) q^{27} +(0.965926 + 0.258819i) q^{28} +(4.71839 - 2.72416i) q^{29} +(-0.167742 + 0.919705i) q^{30} +(-0.985243 + 0.985243i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(5.20570 - 3.59971i) q^{33} +(0.456131 + 0.456131i) q^{34} +(0.467439 + 0.269876i) q^{35} +(-1.05909 + 2.80684i) q^{36} +(-1.80949 + 6.75310i) q^{37} +5.58767 q^{38} +(-2.54951 + 5.70088i) q^{39} -0.539752 q^{40} +(1.34676 - 5.02619i) q^{41} +(1.32027 + 1.12111i) q^{42} +(0.227960 + 0.131613i) q^{43} +(2.58383 + 2.58383i) q^{44} +(-0.944275 + 1.31542i) q^{45} +(-1.16984 + 0.313459i) q^{46} +(4.57927 - 4.57927i) q^{47} +(-1.70394 - 0.310776i) q^{48} +(0.866025 - 0.500000i) q^{49} +(4.54822 + 1.21869i) q^{50} +(0.375965 + 1.05213i) q^{51} +(-3.50210 - 0.857509i) q^{52} -2.15409i q^{53} +(-3.73837 + 3.60896i) q^{54} +(0.986151 + 1.70806i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(8.74721 + 4.14158i) q^{57} +(1.41013 + 5.26268i) q^{58} +(-2.32185 - 8.66526i) q^{59} +(-0.844952 - 0.400063i) q^{60} +(2.24924 - 3.89580i) q^{61} +(-0.696672 - 1.20667i) q^{62} +(1.23585 + 2.73362i) q^{63} -1.00000i q^{64} +(-1.70606 - 0.936307i) q^{65} +(2.12972 + 5.95999i) q^{66} +(-11.1865 - 2.99741i) q^{67} +(-0.558644 + 0.322533i) q^{68} +(-2.06366 - 0.376384i) q^{69} +(-0.381662 + 0.381662i) q^{70} +(-3.47991 + 0.932438i) q^{71} +(-2.43708 - 1.74946i) q^{72} +(6.73308 + 6.73308i) q^{73} +(-6.05466 - 3.49566i) q^{74} +(6.21671 + 5.27894i) q^{75} +(-1.44620 + 5.39728i) q^{76} +3.65409 q^{77} +(-4.84676 - 3.93814i) q^{78} -6.66335 q^{79} +(0.139698 - 0.521360i) q^{80} +(-8.52718 + 2.87876i) q^{81} +(4.50636 + 2.60175i) q^{82} +(-3.78093 - 3.78093i) q^{83} +(-1.42462 + 0.985117i) q^{84} +(-0.336312 + 0.0901144i) q^{85} +(-0.186129 + 0.186129i) q^{86} +(-1.69321 + 9.28363i) q^{87} +(-3.16454 + 1.82705i) q^{88} +(5.07185 + 1.35900i) q^{89} +(-1.02620 - 1.25256i) q^{90} +(-3.08271 + 1.87001i) q^{91} -1.21111i q^{92} +(-0.196220 - 2.40535i) q^{93} +(3.23803 + 5.60844i) q^{94} +(-1.50798 + 2.61189i) q^{95} +(0.741199 - 1.56545i) q^{96} +(-4.73749 - 17.6806i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-1.08358 + 10.9086i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.12111 + 1.32027i −0.647274 + 0.762258i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.381662 0.381662i −0.170684 0.170684i 0.616596 0.787280i \(-0.288511\pi\)
−0.787280 + 0.616596i \(0.788511\pi\)
\(6\) −0.985117 1.42462i −0.402172 0.581599i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −0.486221 2.96034i −0.162074 0.986779i
\(10\) 0.467439 0.269876i 0.147817 0.0853422i
\(11\) −3.52958 0.945749i −1.06421 0.285154i −0.316098 0.948727i \(-0.602373\pi\)
−0.748112 + 0.663573i \(0.769039\pi\)
\(12\) 1.63104 0.582831i 0.470842 0.168249i
\(13\) 3.46166 1.00842i 0.960091 0.279686i
\(14\) 1.00000i 0.267261i
\(15\) 0.931782 0.0760112i 0.240585 0.0196260i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.322533 0.558644i 0.0782258 0.135491i −0.824259 0.566213i \(-0.808408\pi\)
0.902485 + 0.430722i \(0.141741\pi\)
\(18\) 2.98531 + 0.296538i 0.703644 + 0.0698946i
\(19\) −1.44620 5.39728i −0.331780 1.23822i −0.907318 0.420445i \(-0.861874\pi\)
0.575538 0.817775i \(-0.304793\pi\)
\(20\) 0.139698 + 0.521360i 0.0312374 + 0.116580i
\(21\) 0.741199 1.56545i 0.161743 0.341609i
\(22\) 1.82705 3.16454i 0.389528 0.674682i
\(23\) 0.605556 + 1.04885i 0.126267 + 0.218701i 0.922228 0.386648i \(-0.126367\pi\)
−0.795960 + 0.605349i \(0.793034\pi\)
\(24\) 0.140826 + 1.72632i 0.0287460 + 0.352383i
\(25\) 4.70867i 0.941734i
\(26\) 0.0781191 + 3.60470i 0.0153204 + 0.706941i
\(27\) 4.45355 + 2.67692i 0.857086 + 0.515174i
\(28\) 0.965926 + 0.258819i 0.182543 + 0.0489122i
\(29\) 4.71839 2.72416i 0.876183 0.505864i 0.00678501 0.999977i \(-0.497840\pi\)
0.869398 + 0.494113i \(0.164507\pi\)
\(30\) −0.167742 + 0.919705i −0.0306253 + 0.167914i
\(31\) −0.985243 + 0.985243i −0.176955 + 0.176955i −0.790027 0.613072i \(-0.789934\pi\)
0.613072 + 0.790027i \(0.289934\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 5.20570 3.59971i 0.906196 0.626629i
\(34\) 0.456131 + 0.456131i 0.0782258 + 0.0782258i
\(35\) 0.467439 + 0.269876i 0.0790115 + 0.0456173i
\(36\) −1.05909 + 2.80684i −0.176515 + 0.467806i
\(37\) −1.80949 + 6.75310i −0.297478 + 1.11020i 0.641752 + 0.766913i \(0.278208\pi\)
−0.939230 + 0.343290i \(0.888459\pi\)
\(38\) 5.58767 0.906440
\(39\) −2.54951 + 5.70088i −0.408249 + 0.912871i
\(40\) −0.539752 −0.0853422
\(41\) 1.34676 5.02619i 0.210329 0.784959i −0.777430 0.628970i \(-0.783477\pi\)
0.987759 0.155989i \(-0.0498564\pi\)
\(42\) 1.32027 + 1.12111i 0.203722 + 0.172991i
\(43\) 0.227960 + 0.131613i 0.0347636 + 0.0200708i 0.517281 0.855816i \(-0.326944\pi\)
−0.482517 + 0.875886i \(0.660278\pi\)
\(44\) 2.58383 + 2.58383i 0.389528 + 0.389528i
\(45\) −0.944275 + 1.31542i −0.140764 + 0.196091i
\(46\) −1.16984 + 0.313459i −0.172484 + 0.0462170i
\(47\) 4.57927 4.57927i 0.667955 0.667955i −0.289287 0.957242i \(-0.593418\pi\)
0.957242 + 0.289287i \(0.0934182\pi\)
\(48\) −1.70394 0.310776i −0.245943 0.0448566i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 4.54822 + 1.21869i 0.643216 + 0.172349i
\(51\) 0.375965 + 1.05213i 0.0526456 + 0.147328i
\(52\) −3.50210 0.857509i −0.485653 0.118915i
\(53\) 2.15409i 0.295887i −0.988996 0.147944i \(-0.952735\pi\)
0.988996 0.147944i \(-0.0472654\pi\)
\(54\) −3.73837 + 3.60896i −0.508728 + 0.491117i
\(55\) 0.986151 + 1.70806i 0.132973 + 0.230315i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) 8.74721 + 4.14158i 1.15860 + 0.548565i
\(58\) 1.41013 + 5.26268i 0.185159 + 0.691024i
\(59\) −2.32185 8.66526i −0.302279 1.12812i −0.935262 0.353956i \(-0.884836\pi\)
0.632983 0.774166i \(-0.281830\pi\)
\(60\) −0.844952 0.400063i −0.109083 0.0516480i
\(61\) 2.24924 3.89580i 0.287985 0.498805i −0.685343 0.728220i \(-0.740348\pi\)
0.973329 + 0.229415i \(0.0736812\pi\)
\(62\) −0.696672 1.20667i −0.0884775 0.153247i
\(63\) 1.23585 + 2.73362i 0.155702 + 0.344404i
\(64\) 1.00000i 0.125000i
\(65\) −1.70606 0.936307i −0.211611 0.116135i
\(66\) 2.12972 + 5.95999i 0.262150 + 0.733624i
\(67\) −11.1865 2.99741i −1.36665 0.366192i −0.500394 0.865798i \(-0.666812\pi\)
−0.866253 + 0.499606i \(0.833478\pi\)
\(68\) −0.558644 + 0.322533i −0.0677455 + 0.0391129i
\(69\) −2.06366 0.376384i −0.248436 0.0453113i
\(70\) −0.381662 + 0.381662i −0.0456173 + 0.0456173i
\(71\) −3.47991 + 0.932438i −0.412989 + 0.110660i −0.459330 0.888266i \(-0.651911\pi\)
0.0463412 + 0.998926i \(0.485244\pi\)
\(72\) −2.43708 1.74946i −0.287213 0.206176i
\(73\) 6.73308 + 6.73308i 0.788047 + 0.788047i 0.981174 0.193127i \(-0.0618628\pi\)
−0.193127 + 0.981174i \(0.561863\pi\)
\(74\) −6.05466 3.49566i −0.703840 0.406362i
\(75\) 6.21671 + 5.27894i 0.717844 + 0.609559i
\(76\) −1.44620 + 5.39728i −0.165890 + 0.619110i
\(77\) 3.65409 0.416423
\(78\) −4.84676 3.93814i −0.548788 0.445906i
\(79\) −6.66335 −0.749685 −0.374842 0.927089i \(-0.622303\pi\)
−0.374842 + 0.927089i \(0.622303\pi\)
\(80\) 0.139698 0.521360i 0.0156187 0.0582898i
\(81\) −8.52718 + 2.87876i −0.947464 + 0.319862i
\(82\) 4.50636 + 2.60175i 0.497644 + 0.287315i
\(83\) −3.78093 3.78093i −0.415011 0.415011i 0.468469 0.883480i \(-0.344806\pi\)
−0.883480 + 0.468469i \(0.844806\pi\)
\(84\) −1.42462 + 0.985117i −0.155439 + 0.107485i
\(85\) −0.336312 + 0.0901144i −0.0364781 + 0.00977428i
\(86\) −0.186129 + 0.186129i −0.0200708 + 0.0200708i
\(87\) −1.69321 + 9.28363i −0.181531 + 0.995310i
\(88\) −3.16454 + 1.82705i −0.337341 + 0.194764i
\(89\) 5.07185 + 1.35900i 0.537615 + 0.144054i 0.517403 0.855742i \(-0.326899\pi\)
0.0202128 + 0.999796i \(0.493566\pi\)
\(90\) −1.02620 1.25256i −0.108171 0.132031i
\(91\) −3.08271 + 1.87001i −0.323155 + 0.196030i
\(92\) 1.21111i 0.126267i
\(93\) −0.196220 2.40535i −0.0203470 0.249424i
\(94\) 3.23803 + 5.60844i 0.333978 + 0.578466i
\(95\) −1.50798 + 2.61189i −0.154715 + 0.267975i
\(96\) 0.741199 1.56545i 0.0756483 0.159773i
\(97\) −4.73749 17.6806i −0.481019 1.79519i −0.597354 0.801978i \(-0.703781\pi\)
0.116335 0.993210i \(-0.462886\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −1.08358 + 10.9086i −0.108903 + 1.09636i
\(100\) −2.35433 + 4.07783i −0.235433 + 0.407783i
\(101\) −9.62431 16.6698i −0.957655 1.65871i −0.728173 0.685394i \(-0.759630\pi\)
−0.229482 0.973313i \(-0.573703\pi\)
\(102\) −1.11359 + 0.0908423i −0.110262 + 0.00899473i
\(103\) 14.5898i 1.43757i −0.695232 0.718785i \(-0.744698\pi\)
0.695232 0.718785i \(-0.255302\pi\)
\(104\) 1.73470 3.16083i 0.170101 0.309944i
\(105\) −0.880359 + 0.314584i −0.0859142 + 0.0307003i
\(106\) 2.08069 + 0.557520i 0.202095 + 0.0541511i
\(107\) 4.25972 2.45935i 0.411803 0.237755i −0.279761 0.960070i \(-0.590255\pi\)
0.691564 + 0.722315i \(0.256922\pi\)
\(108\) −2.51843 4.54506i −0.242336 0.437348i
\(109\) −13.4848 + 13.4848i −1.29161 + 1.29161i −0.357825 + 0.933789i \(0.616481\pi\)
−0.933789 + 0.357825i \(0.883519\pi\)
\(110\) −1.90510 + 0.510469i −0.181644 + 0.0486714i
\(111\) −6.88727 9.95998i −0.653711 0.945359i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 2.13286 + 1.23141i 0.200643 + 0.115841i 0.596955 0.802275i \(-0.296377\pi\)
−0.396313 + 0.918116i \(0.629710\pi\)
\(114\) −6.26440 + 7.37723i −0.586715 + 0.690941i
\(115\) 0.169190 0.631425i 0.0157770 0.0588807i
\(116\) −5.44833 −0.505864
\(117\) −4.66840 9.75736i −0.431594 0.902068i
\(118\) 8.97094 0.825842
\(119\) −0.166955 + 0.623086i −0.0153048 + 0.0571182i
\(120\) 0.605121 0.712617i 0.0552398 0.0650528i
\(121\) 2.03724 + 1.17620i 0.185203 + 0.106927i
\(122\) 3.18090 + 3.18090i 0.287985 + 0.287985i
\(123\) 5.12605 + 7.41300i 0.462200 + 0.668408i
\(124\) 1.34587 0.360624i 0.120862 0.0323850i
\(125\) −3.70543 + 3.70543i −0.331424 + 0.331424i
\(126\) −2.96034 + 0.486221i −0.263728 + 0.0433160i
\(127\) −2.69516 + 1.55605i −0.239156 + 0.138077i −0.614789 0.788692i \(-0.710759\pi\)
0.375633 + 0.926769i \(0.377425\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −0.429333 + 0.153416i −0.0378006 + 0.0135075i
\(130\) 1.34596 1.40559i 0.118049 0.123279i
\(131\) 10.7414i 0.938482i 0.883070 + 0.469241i \(0.155472\pi\)
−0.883070 + 0.469241i \(0.844528\pi\)
\(132\) −6.30812 + 0.514592i −0.549051 + 0.0447895i
\(133\) 2.79384 + 4.83907i 0.242256 + 0.419600i
\(134\) 5.79055 10.0295i 0.500228 0.866420i
\(135\) −0.678071 2.72143i −0.0583591 0.234223i
\(136\) −0.166955 0.623086i −0.0143163 0.0534292i
\(137\) −4.27807 15.9660i −0.365500 1.36406i −0.866742 0.498757i \(-0.833790\pi\)
0.501242 0.865307i \(-0.332877\pi\)
\(138\) 0.897675 1.89593i 0.0764152 0.161392i
\(139\) −3.28827 + 5.69546i −0.278908 + 0.483082i −0.971114 0.238618i \(-0.923306\pi\)
0.692206 + 0.721700i \(0.256639\pi\)
\(140\) −0.269876 0.467439i −0.0228087 0.0395058i
\(141\) 0.912000 + 11.1797i 0.0768043 + 0.941504i
\(142\) 3.60266i 0.302329i
\(143\) −13.1719 + 0.285455i −1.10149 + 0.0238709i
\(144\) 2.32062 1.90125i 0.193385 0.158437i
\(145\) −2.84054 0.761120i −0.235894 0.0632076i
\(146\) −8.24630 + 4.76101i −0.682469 + 0.394024i
\(147\) −0.310776 + 1.70394i −0.0256324 + 0.140539i
\(148\) 4.94361 4.94361i 0.406362 0.406362i
\(149\) −5.05047 + 1.35327i −0.413750 + 0.110864i −0.459689 0.888080i \(-0.652039\pi\)
0.0459381 + 0.998944i \(0.485372\pi\)
\(150\) −6.70807 + 4.63859i −0.547711 + 0.378739i
\(151\) 10.6472 + 10.6472i 0.866455 + 0.866455i 0.992078 0.125623i \(-0.0400929\pi\)
−0.125623 + 0.992078i \(0.540093\pi\)
\(152\) −4.83907 2.79384i −0.392500 0.226610i
\(153\) −1.81060 0.683182i −0.146378 0.0552320i
\(154\) −0.945749 + 3.52958i −0.0762106 + 0.284422i
\(155\) 0.752060 0.0604069
\(156\) 5.05838 3.66235i 0.404995 0.293222i
\(157\) 0.745009 0.0594582 0.0297291 0.999558i \(-0.490536\pi\)
0.0297291 + 0.999558i \(0.490536\pi\)
\(158\) 1.72460 6.43630i 0.137202 0.512044i
\(159\) 2.84398 + 2.41498i 0.225542 + 0.191520i
\(160\) 0.467439 + 0.269876i 0.0369543 + 0.0213356i
\(161\) −0.856386 0.856386i −0.0674926 0.0674926i
\(162\) −0.573670 8.98170i −0.0450718 0.705669i
\(163\) −10.8705 + 2.91274i −0.851443 + 0.228143i −0.658046 0.752977i \(-0.728617\pi\)
−0.193396 + 0.981121i \(0.561950\pi\)
\(164\) −3.67942 + 3.67942i −0.287315 + 0.287315i
\(165\) −3.36069 0.612944i −0.261629 0.0477176i
\(166\) 4.63068 2.67352i 0.359410 0.207506i
\(167\) 17.8973 + 4.79557i 1.38493 + 0.371092i 0.872911 0.487879i \(-0.162229\pi\)
0.512024 + 0.858971i \(0.328896\pi\)
\(168\) −0.582831 1.63104i −0.0449664 0.125838i
\(169\) 10.9662 6.98164i 0.843551 0.537049i
\(170\) 0.348175i 0.0267038i
\(171\) −15.2746 + 6.90550i −1.16808 + 0.528077i
\(172\) −0.131613 0.227960i −0.0100354 0.0173818i
\(173\) −1.51728 + 2.62800i −0.115356 + 0.199803i −0.917922 0.396761i \(-0.870134\pi\)
0.802566 + 0.596564i \(0.203468\pi\)
\(174\) −8.52907 4.03829i −0.646587 0.306142i
\(175\) 1.21869 + 4.54822i 0.0921245 + 0.343813i
\(176\) −0.945749 3.52958i −0.0712885 0.266052i
\(177\) 14.0435 + 6.64925i 1.05558 + 0.499788i
\(178\) −2.62538 + 4.54730i −0.196781 + 0.340835i
\(179\) 9.95170 + 17.2369i 0.743825 + 1.28834i 0.950742 + 0.309984i \(0.100324\pi\)
−0.206917 + 0.978359i \(0.566343\pi\)
\(180\) 1.47548 0.667049i 0.109976 0.0497189i
\(181\) 9.13814i 0.679232i −0.940564 0.339616i \(-0.889703\pi\)
0.940564 0.339616i \(-0.110297\pi\)
\(182\) −1.00842 3.46166i −0.0747493 0.256595i
\(183\) 2.62185 + 7.33722i 0.193813 + 0.542383i
\(184\) 1.16984 + 0.313459i 0.0862421 + 0.0231085i
\(185\) 3.26801 1.88679i 0.240269 0.138719i
\(186\) 2.37418 + 0.433018i 0.174083 + 0.0317504i
\(187\) −1.66674 + 1.66674i −0.121884 + 0.121884i
\(188\) −6.25540 + 1.67613i −0.456222 + 0.122244i
\(189\) −4.99464 1.43304i −0.363306 0.104239i
\(190\) −2.13260 2.13260i −0.154715 0.154715i
\(191\) 5.00783 + 2.89127i 0.362354 + 0.209205i 0.670113 0.742259i \(-0.266246\pi\)
−0.307759 + 0.951464i \(0.599579\pi\)
\(192\) 1.32027 + 1.12111i 0.0952822 + 0.0809092i
\(193\) −4.89562 + 18.2707i −0.352395 + 1.31515i 0.531337 + 0.847161i \(0.321690\pi\)
−0.883732 + 0.467994i \(0.844977\pi\)
\(194\) 18.3043 1.31417
\(195\) 3.14886 1.20276i 0.225495 0.0861311i
\(196\) −1.00000 −0.0714286
\(197\) 7.11260 26.5446i 0.506752 1.89122i 0.0563224 0.998413i \(-0.482063\pi\)
0.450430 0.892812i \(-0.351271\pi\)
\(198\) −10.2564 3.87001i −0.728894 0.275029i
\(199\) 3.11622 + 1.79915i 0.220903 + 0.127538i 0.606368 0.795184i \(-0.292626\pi\)
−0.385465 + 0.922722i \(0.625959\pi\)
\(200\) −3.32953 3.32953i −0.235433 0.235433i
\(201\) 16.4987 11.4087i 1.16373 0.804711i
\(202\) 18.5927 4.98191i 1.30818 0.350526i
\(203\) −3.85255 + 3.85255i −0.270396 + 0.270396i
\(204\) 0.200471 1.09916i 0.0140358 0.0769563i
\(205\) −2.43231 + 1.40430i −0.169880 + 0.0980803i
\(206\) 14.0926 + 3.77611i 0.981879 + 0.263094i
\(207\) 2.81053 2.30262i 0.195345 0.160043i
\(208\) 2.60415 + 2.49367i 0.180565 + 0.172905i
\(209\) 20.4179i 1.41233i
\(210\) −0.0760112 0.931782i −0.00524527 0.0642991i
\(211\) −1.80121 3.11979i −0.124000 0.214775i 0.797341 0.603529i \(-0.206239\pi\)
−0.921342 + 0.388754i \(0.872906\pi\)
\(212\) −1.07705 + 1.86550i −0.0739718 + 0.128123i
\(213\) 2.67029 5.63978i 0.182965 0.386431i
\(214\) 1.27305 + 4.75110i 0.0870242 + 0.324779i
\(215\) −0.0367721 0.137235i −0.00250783 0.00935936i
\(216\) 5.04200 1.25626i 0.343065 0.0854780i
\(217\) 0.696672 1.20667i 0.0472932 0.0819142i
\(218\) −9.53522 16.5155i −0.645807 1.11857i
\(219\) −16.4380 + 1.34095i −1.11078 + 0.0906130i
\(220\) 1.97230i 0.132973i
\(221\) 0.553150 2.25908i 0.0372089 0.151962i
\(222\) 11.4032 4.07476i 0.765330 0.273480i
\(223\) 6.37589 + 1.70842i 0.426961 + 0.114404i 0.465900 0.884838i \(-0.345731\pi\)
−0.0389380 + 0.999242i \(0.512397\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) −13.9392 + 2.28946i −0.929283 + 0.152630i
\(226\) −1.74147 + 1.74147i −0.115841 + 0.115841i
\(227\) −17.7845 + 4.76536i −1.18040 + 0.316288i −0.795086 0.606497i \(-0.792574\pi\)
−0.385316 + 0.922785i \(0.625908\pi\)
\(228\) −5.50451 7.96031i −0.364545 0.527185i
\(229\) 7.71339 + 7.71339i 0.509715 + 0.509715i 0.914439 0.404724i \(-0.132632\pi\)
−0.404724 + 0.914439i \(0.632632\pi\)
\(230\) 0.566120 + 0.326850i 0.0373289 + 0.0215518i
\(231\) −4.09664 + 4.82439i −0.269539 + 0.317421i
\(232\) 1.41013 5.26268i 0.0925796 0.345512i
\(233\) 14.1923 0.929771 0.464885 0.885371i \(-0.346096\pi\)
0.464885 + 0.885371i \(0.346096\pi\)
\(234\) 10.6332 1.98394i 0.695111 0.129694i
\(235\) −3.49547 −0.228019
\(236\) −2.32185 + 8.66526i −0.151140 + 0.564061i
\(237\) 7.47035 8.79741i 0.485251 0.571453i
\(238\) −0.558644 0.322533i −0.0362115 0.0209067i
\(239\) 13.4017 + 13.4017i 0.866883 + 0.866883i 0.992126 0.125243i \(-0.0399710\pi\)
−0.125243 + 0.992126i \(0.539971\pi\)
\(240\) 0.531719 + 0.768941i 0.0343223 + 0.0496349i
\(241\) −4.38460 + 1.17485i −0.282437 + 0.0756788i −0.397257 0.917708i \(-0.630038\pi\)
0.114819 + 0.993386i \(0.463371\pi\)
\(242\) −1.66340 + 1.66340i −0.106927 + 0.106927i
\(243\) 5.75918 14.4856i 0.369451 0.929250i
\(244\) −3.89580 + 2.24924i −0.249403 + 0.143993i
\(245\) −0.521360 0.139698i −0.0333085 0.00892498i
\(246\) −8.48713 + 3.03276i −0.541120 + 0.193362i
\(247\) −10.4490 17.2252i −0.664853 1.09601i
\(248\) 1.39334i 0.0884775i
\(249\) 9.23070 0.753005i 0.584972 0.0477197i
\(250\) −2.62013 4.53821i −0.165712 0.287021i
\(251\) −12.4394 + 21.5456i −0.785167 + 1.35995i 0.143733 + 0.989617i \(0.454089\pi\)
−0.928899 + 0.370332i \(0.879244\pi\)
\(252\) 0.296538 2.98531i 0.0186801 0.188057i
\(253\) −1.14541 4.27472i −0.0720112 0.268749i
\(254\) −0.805470 3.00606i −0.0505397 0.188617i
\(255\) 0.258067 0.545050i 0.0161608 0.0341324i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 8.71732 + 15.0988i 0.543772 + 0.941840i 0.998683 + 0.0513034i \(0.0163375\pi\)
−0.454912 + 0.890537i \(0.650329\pi\)
\(258\) −0.0370691 0.454410i −0.00230782 0.0282904i
\(259\) 6.99132i 0.434420i
\(260\) 1.00934 + 1.66390i 0.0625965 + 0.103190i
\(261\) −10.3586 12.6435i −0.641183 0.782611i
\(262\) −10.3754 2.78008i −0.640995 0.171754i
\(263\) 9.85070 5.68731i 0.607420 0.350694i −0.164535 0.986371i \(-0.552612\pi\)
0.771955 + 0.635677i \(0.219279\pi\)
\(264\) 1.13560 6.22636i 0.0698916 0.383206i
\(265\) −0.822135 + 0.822135i −0.0505033 + 0.0505033i
\(266\) −5.39728 + 1.44620i −0.330928 + 0.0886720i
\(267\) −7.48035 + 5.17262i −0.457790 + 0.316559i
\(268\) 8.18908 + 8.18908i 0.500228 + 0.500228i
\(269\) −3.47455 2.00604i −0.211847 0.122310i 0.390322 0.920678i \(-0.372364\pi\)
−0.602170 + 0.798368i \(0.705697\pi\)
\(270\) 2.80420 + 0.0493914i 0.170658 + 0.00300587i
\(271\) 7.99908 29.8530i 0.485909 1.81344i −0.0900215 0.995940i \(-0.528694\pi\)
0.575931 0.817498i \(-0.304640\pi\)
\(272\) 0.645066 0.0391129
\(273\) 0.987145 6.16649i 0.0597447 0.373213i
\(274\) 16.5292 0.998564
\(275\) −4.45322 + 16.6196i −0.268539 + 1.00220i
\(276\) 1.59899 + 1.35779i 0.0962481 + 0.0817294i
\(277\) 7.34609 + 4.24126i 0.441383 + 0.254833i 0.704184 0.710017i \(-0.251313\pi\)
−0.262801 + 0.964850i \(0.584646\pi\)
\(278\) −4.65032 4.65032i −0.278908 0.278908i
\(279\) 3.39570 + 2.43760i 0.203295 + 0.145936i
\(280\) 0.521360 0.139698i 0.0311572 0.00834855i
\(281\) −17.6584 + 17.6584i −1.05341 + 1.05341i −0.0549191 + 0.998491i \(0.517490\pi\)
−0.998491 + 0.0549191i \(0.982510\pi\)
\(282\) −11.0348 2.01260i −0.657115 0.119849i
\(283\) 20.0574 11.5801i 1.19229 0.688367i 0.233461 0.972366i \(-0.424995\pi\)
0.958824 + 0.284000i \(0.0916614\pi\)
\(284\) 3.47991 + 0.932438i 0.206494 + 0.0553300i
\(285\) −1.75779 4.91916i −0.104123 0.291386i
\(286\) 3.13342 12.7970i 0.185283 0.756702i
\(287\) 5.20349i 0.307152i
\(288\) 1.23585 + 2.73362i 0.0728229 + 0.161080i
\(289\) 8.29194 + 14.3621i 0.487761 + 0.844828i
\(290\) 1.47037 2.54676i 0.0863432 0.149551i
\(291\) 28.6543 + 13.5671i 1.67975 + 0.795317i
\(292\) −2.46448 9.19756i −0.144223 0.538246i
\(293\) 4.44819 + 16.6009i 0.259866 + 0.969833i 0.965318 + 0.261076i \(0.0840772\pi\)
−0.705452 + 0.708757i \(0.749256\pi\)
\(294\) −1.56545 0.741199i −0.0912987 0.0432276i
\(295\) −2.42104 + 4.19336i −0.140958 + 0.244147i
\(296\) 3.49566 + 6.05466i 0.203181 + 0.351920i
\(297\) −13.1875 13.6604i −0.765215 0.792654i
\(298\) 5.22863i 0.302886i
\(299\) 3.15392 + 3.02012i 0.182396 + 0.174658i
\(300\) −2.74436 7.68005i −0.158446 0.443408i
\(301\) −0.254256 0.0681278i −0.0146551 0.00392682i
\(302\) −13.0401 + 7.52869i −0.750372 + 0.433228i
\(303\) 32.7985 + 5.98201i 1.88423 + 0.343657i
\(304\) 3.95108 3.95108i 0.226610 0.226610i
\(305\) −2.34533 + 0.628428i −0.134293 + 0.0359837i
\(306\) 1.12852 1.57208i 0.0645132 0.0898699i
\(307\) −6.35520 6.35520i −0.362711 0.362711i 0.502099 0.864810i \(-0.332561\pi\)
−0.864810 + 0.502099i \(0.832561\pi\)
\(308\) −3.16454 1.82705i −0.180316 0.104106i
\(309\) 19.2624 + 16.3567i 1.09580 + 0.930502i
\(310\) −0.194647 + 0.726434i −0.0110552 + 0.0412587i
\(311\) 22.0368 1.24959 0.624795 0.780789i \(-0.285182\pi\)
0.624795 + 0.780789i \(0.285182\pi\)
\(312\) 2.22835 + 5.83391i 0.126156 + 0.330280i
\(313\) 30.2274 1.70855 0.854276 0.519819i \(-0.174001\pi\)
0.854276 + 0.519819i \(0.174001\pi\)
\(314\) −0.192822 + 0.719623i −0.0108816 + 0.0406107i
\(315\) 0.571644 1.51499i 0.0322085 0.0853603i
\(316\) 5.77063 + 3.33167i 0.324623 + 0.187421i
\(317\) −20.4113 20.4113i −1.14641 1.14641i −0.987253 0.159157i \(-0.949122\pi\)
−0.159157 0.987253i \(-0.550878\pi\)
\(318\) −3.06876 + 2.12203i −0.172088 + 0.118998i
\(319\) −19.2303 + 5.15275i −1.07669 + 0.288499i
\(320\) −0.381662 + 0.381662i −0.0213356 + 0.0213356i
\(321\) −1.52861 + 8.38119i −0.0853189 + 0.467792i
\(322\) 1.04885 0.605556i 0.0584503 0.0337463i
\(323\) −3.48160 0.932892i −0.193722 0.0519075i
\(324\) 8.82413 + 1.77051i 0.490229 + 0.0983618i
\(325\) −4.74833 16.2998i −0.263390 0.904150i
\(326\) 11.2540i 0.623299i
\(327\) −2.68562 32.9216i −0.148515 1.82057i
\(328\) −2.60175 4.50636i −0.143657 0.248822i
\(329\) −3.23803 + 5.60844i −0.178519 + 0.309203i
\(330\) 1.46187 3.08753i 0.0804732 0.169963i
\(331\) −6.95967 25.9738i −0.382538 1.42765i −0.842012 0.539459i \(-0.818629\pi\)
0.459474 0.888191i \(-0.348038\pi\)
\(332\) 1.38392 + 5.16485i 0.0759524 + 0.283458i
\(333\) 20.8712 + 2.07319i 1.14374 + 0.113610i
\(334\) −9.26432 + 16.0463i −0.506921 + 0.878013i
\(335\) 3.12546 + 5.41346i 0.170762 + 0.295769i
\(336\) 1.72632 0.140826i 0.0941783 0.00768270i
\(337\) 13.5096i 0.735913i −0.929843 0.367957i \(-0.880057\pi\)
0.929843 0.367957i \(-0.119943\pi\)
\(338\) 3.90549 + 12.3995i 0.212431 + 0.674443i
\(339\) −4.01696 + 1.43541i −0.218172 + 0.0779606i
\(340\) 0.336312 + 0.0901144i 0.0182391 + 0.00488714i
\(341\) 4.40929 2.54571i 0.238777 0.137858i
\(342\) −2.71685 16.5414i −0.146910 0.894456i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 0.254256 0.0681278i 0.0137086 0.00367320i
\(345\) 0.643971 + 0.931274i 0.0346702 + 0.0501381i
\(346\) −2.14575 2.14575i −0.115356 0.115356i
\(347\) 21.1133 + 12.1898i 1.13342 + 0.654380i 0.944793 0.327669i \(-0.106263\pi\)
0.188627 + 0.982049i \(0.439596\pi\)
\(348\) 6.10818 7.19326i 0.327433 0.385599i
\(349\) 0.282617 1.05474i 0.0151281 0.0564590i −0.957949 0.286938i \(-0.907363\pi\)
0.973077 + 0.230479i \(0.0740293\pi\)
\(350\) −4.70867 −0.251689
\(351\) 18.1161 + 4.77553i 0.966968 + 0.254899i
\(352\) 3.65409 0.194764
\(353\) 5.10555 19.0542i 0.271741 1.01415i −0.686253 0.727363i \(-0.740746\pi\)
0.957994 0.286788i \(-0.0925876\pi\)
\(354\) −10.0574 + 11.8441i −0.534546 + 0.629505i
\(355\) 1.68402 + 0.972272i 0.0893787 + 0.0516028i
\(356\) −3.71285 3.71285i −0.196781 0.196781i
\(357\) −0.635466 0.918975i −0.0336324 0.0486373i
\(358\) −19.2252 + 5.15138i −1.01608 + 0.272259i
\(359\) −7.51928 + 7.51928i −0.396852 + 0.396852i −0.877121 0.480269i \(-0.840539\pi\)
0.480269 + 0.877121i \(0.340539\pi\)
\(360\) 0.262439 + 1.59785i 0.0138317 + 0.0842139i
\(361\) −10.5846 + 6.11105i −0.557087 + 0.321634i
\(362\) 8.82676 + 2.36512i 0.463924 + 0.124308i
\(363\) −3.83687 + 1.37105i −0.201383 + 0.0719615i
\(364\) 3.60470 0.0781191i 0.188938 0.00409455i
\(365\) 5.13952i 0.269015i
\(366\) −7.76579 + 0.633504i −0.405925 + 0.0331138i
\(367\) −0.262911 0.455375i −0.0137238 0.0237704i 0.859082 0.511838i \(-0.171035\pi\)
−0.872806 + 0.488068i \(0.837702\pi\)
\(368\) −0.605556 + 1.04885i −0.0315668 + 0.0546753i
\(369\) −15.5340 1.54303i −0.808669 0.0803270i
\(370\) 0.976673 + 3.64499i 0.0507748 + 0.189494i
\(371\) 0.557520 + 2.08069i 0.0289450 + 0.108024i
\(372\) −1.03275 + 2.18121i −0.0535454 + 0.113090i
\(373\) −4.78678 + 8.29094i −0.247850 + 0.429289i −0.962929 0.269755i \(-0.913057\pi\)
0.715079 + 0.699044i \(0.246391\pi\)
\(374\) −1.17857 2.04134i −0.0609422 0.105555i
\(375\) −0.737967 9.04636i −0.0381085 0.467152i
\(376\) 6.47607i 0.333978i
\(377\) 13.5863 14.1883i 0.699732 0.730733i
\(378\) 2.67692 4.45355i 0.137686 0.229066i
\(379\) −0.224423 0.0601340i −0.0115278 0.00308887i 0.253051 0.967453i \(-0.418566\pi\)
−0.264578 + 0.964364i \(0.585233\pi\)
\(380\) 2.61189 1.50798i 0.133987 0.0773576i
\(381\) 0.967165 5.30284i 0.0495494 0.271673i
\(382\) −4.08888 + 4.08888i −0.209205 + 0.209205i
\(383\) −8.96960 + 2.40340i −0.458325 + 0.122808i −0.480592 0.876944i \(-0.659578\pi\)
0.0222670 + 0.999752i \(0.492912\pi\)
\(384\) −1.42462 + 0.985117i −0.0726999 + 0.0502716i
\(385\) −1.39463 1.39463i −0.0710768 0.0710768i
\(386\) −16.3811 9.45762i −0.833775 0.481380i
\(387\) 0.278779 0.738831i 0.0141711 0.0375569i
\(388\) −4.73749 + 17.6806i −0.240510 + 0.897594i
\(389\) −12.5733 −0.637490 −0.318745 0.947841i \(-0.603261\pi\)
−0.318745 + 0.947841i \(0.603261\pi\)
\(390\) 0.346788 + 3.35286i 0.0175603 + 0.169779i
\(391\) 0.781247 0.0395094
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −14.1816 12.0423i −0.715365 0.607454i
\(394\) 23.7992 + 13.7405i 1.19899 + 0.692236i
\(395\) 2.54315 + 2.54315i 0.127960 + 0.127960i
\(396\) 6.39270 8.90533i 0.321245 0.447510i
\(397\) −30.0515 + 8.05228i −1.50824 + 0.404132i −0.915851 0.401518i \(-0.868483\pi\)
−0.592392 + 0.805650i \(0.701816\pi\)
\(398\) −2.54438 + 2.54438i −0.127538 + 0.127538i
\(399\) −9.52107 1.73651i −0.476650 0.0869344i
\(400\) 4.07783 2.35433i 0.203891 0.117717i
\(401\) −32.3876 8.67824i −1.61736 0.433371i −0.667136 0.744936i \(-0.732480\pi\)
−0.950225 + 0.311565i \(0.899147\pi\)
\(402\) 6.74983 + 18.8893i 0.336651 + 0.942113i
\(403\) −2.41703 + 4.40412i −0.120401 + 0.219385i
\(404\) 19.2486i 0.957655i
\(405\) 4.35321 + 2.15579i 0.216313 + 0.107122i
\(406\) −2.72416 4.71839i −0.135198 0.234170i
\(407\) 12.7735 22.1243i 0.633157 1.09666i
\(408\) 1.00982 + 0.478122i 0.0499934 + 0.0236706i
\(409\) 4.11058 + 15.3409i 0.203255 + 0.758558i 0.989974 + 0.141247i \(0.0451112\pi\)
−0.786719 + 0.617311i \(0.788222\pi\)
\(410\) −0.726917 2.71289i −0.0358999 0.133980i
\(411\) 25.8756 + 12.2514i 1.27635 + 0.604318i
\(412\) −7.29488 + 12.6351i −0.359393 + 0.622486i
\(413\) 4.48547 + 7.76906i 0.220716 + 0.382291i
\(414\) 1.49675 + 3.31072i 0.0735611 + 0.162713i
\(415\) 2.88608i 0.141672i
\(416\) −3.08271 + 1.87001i −0.151142 + 0.0916846i
\(417\) −3.83302 10.7266i −0.187704 0.525286i
\(418\) −19.7222 5.28454i −0.964642 0.258475i
\(419\) 4.16833 2.40659i 0.203636 0.117569i −0.394714 0.918804i \(-0.629156\pi\)
0.598350 + 0.801234i \(0.295823\pi\)
\(420\) 0.919705 + 0.167742i 0.0448770 + 0.00818496i
\(421\) −7.83859 + 7.83859i −0.382029 + 0.382029i −0.871833 0.489804i \(-0.837069\pi\)
0.489804 + 0.871833i \(0.337069\pi\)
\(422\) 3.47967 0.932375i 0.169388 0.0453873i
\(423\) −15.7827 11.3296i −0.767382 0.550866i
\(424\) −1.52317 1.52317i −0.0739718 0.0739718i
\(425\) −2.63047 1.51870i −0.127596 0.0736678i
\(426\) 4.75649 + 4.03899i 0.230453 + 0.195689i
\(427\) −1.16429 + 4.34520i −0.0563440 + 0.210279i
\(428\) −4.91870 −0.237755
\(429\) 14.3903 17.7105i 0.694771 0.855072i
\(430\) 0.142076 0.00685153
\(431\) 4.32410 16.1377i 0.208284 0.777328i −0.780139 0.625606i \(-0.784852\pi\)
0.988423 0.151722i \(-0.0484817\pi\)
\(432\) −0.0915077 + 5.19535i −0.00440267 + 0.249961i
\(433\) 33.5336 + 19.3606i 1.61152 + 0.930412i 0.989018 + 0.147795i \(0.0472176\pi\)
0.622503 + 0.782617i \(0.286116\pi\)
\(434\) 0.985243 + 0.985243i 0.0472932 + 0.0472932i
\(435\) 4.18944 2.89698i 0.200868 0.138899i
\(436\) 18.4206 4.93579i 0.882188 0.236382i
\(437\) 4.78520 4.78520i 0.228907 0.228907i
\(438\) 2.95921 16.2250i 0.141397 0.775258i
\(439\) 11.6723 6.73900i 0.557088 0.321635i −0.194888 0.980826i \(-0.562434\pi\)
0.751976 + 0.659191i \(0.229101\pi\)
\(440\) 1.90510 + 0.510469i 0.0908220 + 0.0243357i
\(441\) −1.90125 2.32062i −0.0905356 0.110505i
\(442\) 2.03894 + 1.11900i 0.0969826 + 0.0532252i
\(443\) 32.9150i 1.56384i 0.623379 + 0.781920i \(0.285759\pi\)
−0.623379 + 0.781920i \(0.714241\pi\)
\(444\) 0.984562 + 12.0692i 0.0467252 + 0.572780i
\(445\) −1.41706 2.45441i −0.0671749 0.116350i
\(446\) −3.30041 + 5.71647i −0.156279 + 0.270683i
\(447\) 3.87545 8.18514i 0.183303 0.387144i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) 5.07867 + 18.9539i 0.239677 + 0.894488i 0.975984 + 0.217841i \(0.0699013\pi\)
−0.736307 + 0.676648i \(0.763432\pi\)
\(450\) 1.39630 14.0568i 0.0658221 0.662645i
\(451\) −9.50702 + 16.4666i −0.447668 + 0.775384i
\(452\) −1.23141 2.13286i −0.0579206 0.100321i
\(453\) −25.9938 + 2.12048i −1.22130 + 0.0996287i
\(454\) 18.4119i 0.864114i
\(455\) 1.89026 + 0.462842i 0.0886168 + 0.0216984i
\(456\) 9.11375 3.25667i 0.426790 0.152508i
\(457\) −6.11258 1.63786i −0.285934 0.0766159i 0.113001 0.993595i \(-0.463954\pi\)
−0.398936 + 0.916979i \(0.630620\pi\)
\(458\) −9.44694 + 5.45419i −0.441426 + 0.254858i
\(459\) 2.93186 1.62455i 0.136848 0.0758276i
\(460\) −0.462235 + 0.462235i −0.0215518 + 0.0215518i
\(461\) 7.49479 2.00822i 0.349067 0.0935323i −0.0800253 0.996793i \(-0.525500\pi\)
0.429092 + 0.903261i \(0.358833\pi\)
\(462\) −3.59971 5.20570i −0.167474 0.242191i
\(463\) −9.43433 9.43433i −0.438450 0.438450i 0.453040 0.891490i \(-0.350340\pi\)
−0.891490 + 0.453040i \(0.850340\pi\)
\(464\) 4.71839 + 2.72416i 0.219046 + 0.126466i
\(465\) −0.843142 + 0.992921i −0.0390998 + 0.0460456i
\(466\) −3.67325 + 13.7087i −0.170160 + 0.635045i
\(467\) −25.6594 −1.18738 −0.593688 0.804695i \(-0.702329\pi\)
−0.593688 + 0.804695i \(0.702329\pi\)
\(468\) −0.835721 + 10.7843i −0.0386312 + 0.498505i
\(469\) 11.5811 0.534766
\(470\) 0.904693 3.37636i 0.0417304 0.155740i
\(471\) −0.835237 + 0.983612i −0.0384857 + 0.0453224i
\(472\) −7.76906 4.48547i −0.357600 0.206461i
\(473\) −0.680131 0.680131i −0.0312725 0.0312725i
\(474\) 6.56418 + 9.49274i 0.301503 + 0.436016i
\(475\) −25.4140 + 6.80966i −1.16607 + 0.312449i
\(476\) 0.456131 0.456131i 0.0209067 0.0209067i
\(477\) −6.37684 + 1.04737i −0.291975 + 0.0479556i
\(478\) −16.4137 + 9.47643i −0.750743 + 0.433442i
\(479\) −31.1728 8.35273i −1.42432 0.381646i −0.537307 0.843387i \(-0.680558\pi\)
−0.887015 + 0.461741i \(0.847225\pi\)
\(480\) −0.880359 + 0.314584i −0.0401827 + 0.0143587i
\(481\) 0.546156 + 25.2016i 0.0249026 + 1.14910i
\(482\) 4.53928i 0.206758i
\(483\) 2.09076 0.170556i 0.0951330 0.00776058i
\(484\) −1.17620 2.03724i −0.0534636 0.0926017i
\(485\) −4.93987 + 8.55611i −0.224308 + 0.388513i
\(486\) 12.5014 + 9.31208i 0.567075 + 0.422405i
\(487\) −2.00491 7.48241i −0.0908510 0.339060i 0.905507 0.424332i \(-0.139491\pi\)
−0.996358 + 0.0852714i \(0.972824\pi\)
\(488\) −1.16429 4.34520i −0.0527050 0.196698i
\(489\) 8.34142 17.6175i 0.377212 0.796690i
\(490\) 0.269876 0.467439i 0.0121917 0.0211167i
\(491\) −19.8696 34.4151i −0.896701 1.55313i −0.831685 0.555248i \(-0.812623\pi\)
−0.0650161 0.997884i \(-0.520710\pi\)
\(492\) −0.732788 8.98287i −0.0330367 0.404979i
\(493\) 3.51453i 0.158287i
\(494\) 19.3426 5.63474i 0.870266 0.253519i
\(495\) 4.57696 3.74984i 0.205719 0.168543i
\(496\) −1.34587 0.360624i −0.0604312 0.0161925i
\(497\) 3.12000 1.80133i 0.139951 0.0808008i
\(498\) −1.66173 + 9.11106i −0.0744641 + 0.408276i
\(499\) −12.4973 + 12.4973i −0.559457 + 0.559457i −0.929153 0.369696i \(-0.879462\pi\)
0.369696 + 0.929153i \(0.379462\pi\)
\(500\) 5.06171 1.35628i 0.226367 0.0606547i
\(501\) −26.3963 + 18.2529i −1.17930 + 0.815479i
\(502\) −17.5919 17.5919i −0.785167 0.785167i
\(503\) 3.30865 + 1.91025i 0.147525 + 0.0851738i 0.571946 0.820291i \(-0.306189\pi\)
−0.424420 + 0.905465i \(0.639522\pi\)
\(504\) 2.80684 + 1.05909i 0.125026 + 0.0471755i
\(505\) −2.68899 + 10.0355i −0.119659 + 0.446572i
\(506\) 4.42552 0.196738
\(507\) −3.07664 + 22.3055i −0.136639 + 0.990621i
\(508\) 3.11210 0.138077
\(509\) −9.78848 + 36.5311i −0.433867 + 1.61921i 0.309897 + 0.950770i \(0.399705\pi\)
−0.743764 + 0.668442i \(0.766961\pi\)
\(510\) 0.459685 + 0.390343i 0.0203552 + 0.0172847i
\(511\) −8.24630 4.76101i −0.364795 0.210615i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 8.00738 27.9084i 0.353535 1.23219i
\(514\) −16.8406 + 4.51242i −0.742806 + 0.199034i
\(515\) −5.56835 + 5.56835i −0.245371 + 0.245371i
\(516\) 0.448521 + 0.0818041i 0.0197450 + 0.00360122i
\(517\) −20.4938 + 11.8321i −0.901314 + 0.520374i
\(518\) 6.75310 + 1.80949i 0.296714 + 0.0795043i
\(519\) −1.76863 4.94949i −0.0776343 0.217259i
\(520\) −1.86844 + 0.544298i −0.0819363 + 0.0238691i
\(521\) 12.5482i 0.549747i 0.961480 + 0.274873i \(0.0886360\pi\)
−0.961480 + 0.274873i \(0.911364\pi\)
\(522\) 14.8937 6.73329i 0.651878 0.294708i
\(523\) 9.20334 + 15.9406i 0.402434 + 0.697036i 0.994019 0.109207i \(-0.0348310\pi\)
−0.591585 + 0.806242i \(0.701498\pi\)
\(524\) 5.37071 9.30234i 0.234620 0.406374i
\(525\) −7.37117 3.49006i −0.321704 0.152319i
\(526\) 2.94397 + 10.9870i 0.128363 + 0.479057i
\(527\) 0.232626 + 0.868174i 0.0101334 + 0.0378182i
\(528\) 5.72029 + 2.70841i 0.248944 + 0.117868i
\(529\) 10.7666 18.6483i 0.468113 0.810796i
\(530\) −0.581337 1.00691i −0.0252517 0.0437372i
\(531\) −24.5232 + 11.0867i −1.06421 + 0.481122i
\(532\) 5.58767i 0.242256i
\(533\) −0.406492 18.7571i −0.0176071 0.812458i
\(534\) −3.06031 8.56424i −0.132433 0.370611i
\(535\) −2.56442 0.687133i −0.110869 0.0297074i
\(536\) −10.0295 + 5.79055i −0.433210 + 0.250114i
\(537\) −33.9142 6.18550i −1.46351 0.266924i
\(538\) 2.83696 2.83696i 0.122310 0.122310i
\(539\) −3.52958 + 0.945749i −0.152030 + 0.0407363i
\(540\) −0.773488 + 2.69586i −0.0332856 + 0.116011i
\(541\) −3.20313 3.20313i −0.137713 0.137713i 0.634890 0.772603i \(-0.281046\pi\)
−0.772603 + 0.634890i \(0.781046\pi\)
\(542\) 26.7654 + 15.4530i 1.14967 + 0.663764i
\(543\) 12.0648 + 10.2449i 0.517750 + 0.439649i
\(544\) −0.166955 + 0.623086i −0.00715815 + 0.0267146i
\(545\) 10.2933 0.440917
\(546\) 5.70088 + 2.54951i 0.243975 + 0.109109i
\(547\) 12.3972 0.530066 0.265033 0.964239i \(-0.414617\pi\)
0.265033 + 0.964239i \(0.414617\pi\)
\(548\) −4.27807 + 15.9660i −0.182750 + 0.682032i
\(549\) −12.6265 4.76428i −0.538886 0.203335i
\(550\) −14.9008 8.60296i −0.635370 0.366831i
\(551\) −21.5268 21.5268i −0.917072 0.917072i
\(552\) −1.72538 + 1.19309i −0.0734368 + 0.0507812i
\(553\) 6.43630 1.72460i 0.273699 0.0733375i
\(554\) −5.99805 + 5.99805i −0.254833 + 0.254833i
\(555\) −1.17274 + 6.42996i −0.0497799 + 0.272936i
\(556\) 5.69546 3.28827i 0.241541 0.139454i
\(557\) 13.3006 + 3.56389i 0.563565 + 0.151007i 0.529344 0.848407i \(-0.322438\pi\)
0.0342215 + 0.999414i \(0.489105\pi\)
\(558\) −3.23342 + 2.64909i −0.136881 + 0.112145i
\(559\) 0.921841 + 0.225718i 0.0389897 + 0.00954686i
\(560\) 0.539752i 0.0228087i
\(561\) −0.331946 4.06916i −0.0140148 0.171800i
\(562\) −12.4864 21.6270i −0.526705 0.912280i
\(563\) 9.86602 17.0885i 0.415803 0.720192i −0.579709 0.814824i \(-0.696834\pi\)
0.995512 + 0.0946310i \(0.0301671\pi\)
\(564\) 4.80005 10.1379i 0.202119 0.426884i
\(565\) −0.344050 1.28401i −0.0144743 0.0540189i
\(566\) 5.99431 + 22.3711i 0.251960 + 0.940326i
\(567\) 7.49154 4.98766i 0.314615 0.209462i
\(568\) −1.80133 + 3.12000i −0.0755822 + 0.130912i
\(569\) −21.1237 36.5873i −0.885551 1.53382i −0.845081 0.534638i \(-0.820448\pi\)
−0.0404693 0.999181i \(-0.512885\pi\)
\(570\) 5.20649 0.424726i 0.218076 0.0177898i
\(571\) 35.6085i 1.49017i −0.666970 0.745085i \(-0.732409\pi\)
0.666970 0.745085i \(-0.267591\pi\)
\(572\) 11.5500 + 6.33875i 0.482928 + 0.265037i
\(573\) −9.43160 + 3.37025i −0.394011 + 0.140794i
\(574\) −5.02619 1.34676i −0.209789 0.0562128i
\(575\) 4.93870 2.85136i 0.205958 0.118910i
\(576\) −2.96034 + 0.486221i −0.123347 + 0.0202592i
\(577\) 16.9305 16.9305i 0.704825 0.704825i −0.260617 0.965442i \(-0.583926\pi\)
0.965442 + 0.260617i \(0.0839260\pi\)
\(578\) −16.0188 + 4.29223i −0.666295 + 0.178533i
\(579\) −18.6337 26.9470i −0.774391 1.11988i
\(580\) 2.07942 + 2.07942i 0.0863432 + 0.0863432i
\(581\) 4.63068 + 2.67352i 0.192113 + 0.110916i
\(582\) −20.5211 + 24.1665i −0.850627 + 1.00174i
\(583\) −2.03723 + 7.60305i −0.0843735 + 0.314886i
\(584\) 9.52201 0.394024
\(585\) −1.94226 + 5.50576i −0.0803025 + 0.227635i
\(586\) −17.1865 −0.709967
\(587\) 2.27033 8.47297i 0.0937064 0.349717i −0.903114 0.429401i \(-0.858725\pi\)
0.996820 + 0.0796844i \(0.0253913\pi\)
\(588\) 1.12111 1.32027i 0.0462338 0.0544470i
\(589\) 6.74249 + 3.89278i 0.277819 + 0.160399i
\(590\) −3.42387 3.42387i −0.140958 0.140958i
\(591\) 27.0720 + 39.1500i 1.11359 + 1.61042i
\(592\) −6.75310 + 1.80949i −0.277551 + 0.0743695i
\(593\) −10.4554 + 10.4554i −0.429353 + 0.429353i −0.888408 0.459055i \(-0.848188\pi\)
0.459055 + 0.888408i \(0.348188\pi\)
\(594\) 16.6081 9.20256i 0.681437 0.377586i
\(595\) 0.301529 0.174088i 0.0123615 0.00713690i
\(596\) 5.05047 + 1.35327i 0.206875 + 0.0554320i
\(597\) −5.86899 + 2.09720i −0.240202 + 0.0858328i
\(598\) −3.73350 + 2.26479i −0.152674 + 0.0926140i
\(599\) 3.04401i 0.124375i 0.998064 + 0.0621875i \(0.0198077\pi\)
−0.998064 + 0.0621875i \(0.980192\pi\)
\(600\) 8.12865 0.663104i 0.331851 0.0270711i
\(601\) 8.53063 + 14.7755i 0.347972 + 0.602705i 0.985889 0.167400i \(-0.0535372\pi\)
−0.637917 + 0.770105i \(0.720204\pi\)
\(602\) 0.131613 0.227960i 0.00536413 0.00929095i
\(603\) −3.43423 + 34.5732i −0.139853 + 1.40793i
\(604\) −3.89714 14.5443i −0.158572 0.591800i
\(605\) −0.328625 1.22645i −0.0133605 0.0498621i
\(606\) −14.2671 + 30.1327i −0.579560 + 1.22406i
\(607\) −12.1439 + 21.0339i −0.492908 + 0.853741i −0.999967 0.00817026i \(-0.997399\pi\)
0.507059 + 0.861911i \(0.330733\pi\)
\(608\) 2.79384 + 4.83907i 0.113305 + 0.196250i
\(609\) −0.767268 9.40554i −0.0310913 0.381132i
\(610\) 2.42806i 0.0983093i
\(611\) 11.2340 20.4697i 0.454480 0.828116i
\(612\) 1.22643 + 1.49695i 0.0495755 + 0.0605106i
\(613\) 32.6374 + 8.74517i 1.31821 + 0.353214i 0.848308 0.529503i \(-0.177621\pi\)
0.469905 + 0.882717i \(0.344288\pi\)
\(614\) 7.78350 4.49381i 0.314117 0.181355i
\(615\) 0.872843 4.78568i 0.0351964 0.192977i
\(616\) 2.58383 2.58383i 0.104106 0.104106i
\(617\) 39.7731 10.6572i 1.60120 0.429041i 0.655797 0.754937i \(-0.272333\pi\)
0.945406 + 0.325896i \(0.105666\pi\)
\(618\) −20.7849 + 14.3726i −0.836090 + 0.578151i
\(619\) 9.05054 + 9.05054i 0.363772 + 0.363772i 0.865200 0.501428i \(-0.167192\pi\)
−0.501428 + 0.865200i \(0.667192\pi\)
\(620\) −0.651303 0.376030i −0.0261570 0.0151017i
\(621\) −0.110826 + 6.29215i −0.00444730 + 0.252495i
\(622\) −5.70354 + 21.2859i −0.228691 + 0.853486i
\(623\) −5.25077 −0.210368
\(624\) −6.21186 + 0.642495i −0.248673 + 0.0257204i
\(625\) −20.7149 −0.828596
\(626\) −7.82342 + 29.1974i −0.312687 + 1.16696i
\(627\) −26.9571 22.8907i −1.07656 0.914167i
\(628\) −0.645196 0.372504i −0.0257461 0.0148645i
\(629\) 3.18896 + 3.18896i 0.127152 + 0.127152i
\(630\) 1.31542 + 0.944275i 0.0524076 + 0.0376208i
\(631\) 21.4159 5.73837i 0.852553 0.228441i 0.194024 0.980997i \(-0.437846\pi\)
0.658528 + 0.752556i \(0.271179\pi\)
\(632\) −4.71170 + 4.71170i −0.187421 + 0.187421i
\(633\) 6.13832 + 1.11955i 0.243976 + 0.0444979i
\(634\) 24.9986 14.4329i 0.992820 0.573205i
\(635\) 1.62252 + 0.434754i 0.0643879 + 0.0172527i
\(636\) −1.25547 3.51342i −0.0497827 0.139316i
\(637\) 2.49367 2.60415i 0.0988029 0.103180i
\(638\) 19.9087i 0.788193i
\(639\) 4.45233 + 9.84832i 0.176132 + 0.389594i
\(640\) −0.269876 0.467439i −0.0106678 0.0184771i
\(641\) −17.4717 + 30.2619i −0.690092 + 1.19527i 0.281716 + 0.959498i \(0.409097\pi\)
−0.971807 + 0.235776i \(0.924237\pi\)
\(642\) −7.69997 3.64574i −0.303894 0.143886i
\(643\) 3.30476 + 12.3335i 0.130327 + 0.486387i 0.999973 0.00728783i \(-0.00231981\pi\)
−0.869646 + 0.493675i \(0.835653\pi\)
\(644\) 0.313459 + 1.16984i 0.0123520 + 0.0460983i
\(645\) 0.222413 + 0.105307i 0.00875750 + 0.00414645i
\(646\) 1.80221 3.12152i 0.0709070 0.122815i
\(647\) −18.5153 32.0695i −0.727913 1.26078i −0.957764 0.287556i \(-0.907157\pi\)
0.229851 0.973226i \(-0.426176\pi\)
\(648\) −3.99404 + 8.06521i −0.156901 + 0.316832i
\(649\) 32.7807i 1.28675i
\(650\) 16.9734 0.367837i 0.665750 0.0144278i
\(651\) 0.812085 + 2.27261i 0.0318281 + 0.0890705i
\(652\) 10.8705 + 2.91274i 0.425721 + 0.114072i
\(653\) 14.0188 8.09374i 0.548597 0.316733i −0.199959 0.979804i \(-0.564081\pi\)
0.748556 + 0.663072i \(0.230748\pi\)
\(654\) 32.4949 + 5.92663i 1.27065 + 0.231750i
\(655\) 4.09959 4.09959i 0.160184 0.160184i
\(656\) 5.02619 1.34676i 0.196240 0.0525823i
\(657\) 16.6584 23.2059i 0.649906 0.905350i
\(658\) −4.57927 4.57927i −0.178519 0.178519i
\(659\) −10.0122 5.78057i −0.390022 0.225179i 0.292148 0.956373i \(-0.405630\pi\)
−0.682170 + 0.731194i \(0.738963\pi\)
\(660\) 2.60397 + 2.21117i 0.101359 + 0.0860697i
\(661\) 8.82122 32.9212i 0.343106 1.28049i −0.551704 0.834040i \(-0.686022\pi\)
0.894810 0.446448i \(-0.147311\pi\)
\(662\) 26.8901 1.04511
\(663\) 2.36246 + 3.26299i 0.0917502 + 0.126724i
\(664\) −5.34705 −0.207506
\(665\) 0.780587 2.91319i 0.0302699 0.112969i
\(666\) −7.40442 + 19.6235i −0.286916 + 0.760395i
\(667\) 5.71450 + 3.29927i 0.221266 + 0.127748i
\(668\) −13.1017 13.1017i −0.506921 0.506921i
\(669\) −9.40365 + 6.50257i −0.363566 + 0.251404i
\(670\) −6.03793 + 1.61786i −0.233265 + 0.0625033i
\(671\) −11.6233 + 11.6233i −0.448713 + 0.448713i
\(672\) −0.310776 + 1.70394i −0.0119884 + 0.0657310i
\(673\) −41.3004 + 23.8448i −1.59201 + 0.919150i −0.599053 + 0.800709i \(0.704456\pi\)
−0.992961 + 0.118440i \(0.962211\pi\)
\(674\) 13.0492 + 3.49654i 0.502638 + 0.134682i
\(675\) 12.6047 20.9703i 0.485156 0.807147i
\(676\) −12.9878 + 0.563193i −0.499531 + 0.0216613i
\(677\) 31.0408i 1.19300i 0.802614 + 0.596498i \(0.203442\pi\)
−0.802614 + 0.596498i \(0.796558\pi\)
\(678\) −0.346829 4.25160i −0.0133199 0.163282i
\(679\) 9.15213 + 15.8519i 0.351226 + 0.608342i
\(680\) −0.174088 + 0.301529i −0.00667596 + 0.0115631i
\(681\) 13.6469 28.8229i 0.522950 1.10450i
\(682\) 1.31775 + 4.91793i 0.0504594 + 0.188317i
\(683\) 9.52267 + 35.5391i 0.364375 + 1.35987i 0.868266 + 0.496099i \(0.165235\pi\)
−0.503891 + 0.863767i \(0.668099\pi\)
\(684\) 16.6809 + 1.65695i 0.637811 + 0.0633553i
\(685\) −4.46083 + 7.72638i −0.170439 + 0.295210i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) −18.8313 + 1.53619i −0.718460 + 0.0586092i
\(688\) 0.263225i 0.0100354i
\(689\) −2.17224 7.45673i −0.0827556 0.284079i
\(690\) −1.06621 + 0.380997i −0.0405901 + 0.0145043i
\(691\) −8.73731 2.34115i −0.332383 0.0890617i 0.0887680 0.996052i \(-0.471707\pi\)
−0.421151 + 0.906991i \(0.638374\pi\)
\(692\) 2.62800 1.51728i 0.0999015 0.0576782i
\(693\) −1.77670 10.8173i −0.0674912 0.410917i
\(694\) −17.2389 + 17.2389i −0.654380 + 0.654380i
\(695\) 3.42875 0.918730i 0.130060 0.0348494i
\(696\) 5.36724 + 7.76180i 0.203445 + 0.294210i
\(697\) −2.37347 2.37347i −0.0899017 0.0899017i
\(698\) 0.945655 + 0.545974i 0.0357936 + 0.0206654i
\(699\) −15.9112 + 18.7377i −0.601816 + 0.708725i
\(700\) 1.21869 4.54822i 0.0460623 0.171907i
\(701\) −7.19954 −0.271923 −0.135961 0.990714i \(-0.543412\pi\)
−0.135961 + 0.990714i \(0.543412\pi\)
\(702\) −9.30160 + 16.2628i −0.351066 + 0.613802i
\(703\) 39.0652 1.47337
\(704\) −0.945749 + 3.52958i −0.0356443 + 0.133026i
\(705\) 3.91881 4.61496i 0.147591 0.173809i
\(706\) 17.0835 + 9.86316i 0.642946 + 0.371205i
\(707\) 13.6108 + 13.6108i 0.511888 + 0.511888i
\(708\) −8.83743 12.7802i −0.332131 0.480309i
\(709\) 43.8977 11.7624i 1.64861 0.441745i 0.689390 0.724391i \(-0.257879\pi\)
0.959224 + 0.282646i \(0.0912122\pi\)
\(710\) −1.37500 + 1.37500i −0.0516028 + 0.0516028i
\(711\) 3.23986 + 19.7257i 0.121504 + 0.739773i
\(712\) 4.54730 2.62538i 0.170417 0.0983904i
\(713\) −1.63000 0.436756i −0.0610438 0.0163566i
\(714\) 1.05213 0.375965i 0.0393751 0.0140701i
\(715\) 5.13617 + 4.91828i 0.192082 + 0.183933i
\(716\) 19.9034i 0.743825i
\(717\) −32.7186 + 2.66906i −1.22190 + 0.0996778i
\(718\) −5.31693 9.20919i −0.198426 0.343684i
\(719\) 20.0448 34.7186i 0.747544 1.29478i −0.201452 0.979498i \(-0.564566\pi\)
0.948997 0.315287i \(-0.102101\pi\)
\(720\) −1.61132 0.160057i −0.0600505 0.00596496i
\(721\) 3.77611 + 14.0926i 0.140630 + 0.524836i
\(722\) −3.16331 11.8056i −0.117726 0.439360i
\(723\) 3.36451 7.10600i 0.125127 0.264275i
\(724\) −4.56907 + 7.91386i −0.169808 + 0.294116i
\(725\) −12.8272 22.2173i −0.476390 0.825131i
\(726\) −0.331280 4.06098i −0.0122949 0.150717i
\(727\) 19.8401i 0.735828i −0.929860 0.367914i \(-0.880072\pi\)
0.929860 0.367914i \(-0.119928\pi\)
\(728\) −0.857509 + 3.50210i −0.0317814 + 0.129796i
\(729\) 12.6682 + 23.8436i 0.469192 + 0.883096i
\(730\) 4.96440 + 1.33021i 0.183741 + 0.0492331i
\(731\) 0.147049 0.0848989i 0.00543881 0.00314010i
\(732\) 1.39802 7.66514i 0.0516722 0.283312i
\(733\) −8.63706 + 8.63706i −0.319017 + 0.319017i −0.848390 0.529372i \(-0.822427\pi\)
0.529372 + 0.848390i \(0.322427\pi\)
\(734\) 0.507905 0.136093i 0.0187471 0.00502328i
\(735\) 0.768941 0.531719i 0.0283628 0.0196127i
\(736\) −0.856386 0.856386i −0.0315668 0.0315668i
\(737\) 36.6489 + 21.1592i 1.34998 + 0.779410i
\(738\) 5.51096 14.6054i 0.202861 0.537630i
\(739\) 8.72047 32.5452i 0.320788 1.19720i −0.597692 0.801726i \(-0.703915\pi\)
0.918479 0.395469i \(-0.129418\pi\)
\(740\) −3.77358 −0.138719
\(741\) 34.4563 + 5.51584i 1.26578 + 0.202630i
\(742\) −2.15409 −0.0790792
\(743\) 12.4698 46.5378i 0.457471 1.70731i −0.223249 0.974762i \(-0.571666\pi\)
0.680720 0.732544i \(-0.261667\pi\)
\(744\) −1.83959 1.56209i −0.0674426 0.0572691i
\(745\) 2.44406 + 1.41108i 0.0895435 + 0.0516980i
\(746\) −6.76953 6.76953i −0.247850 0.247850i
\(747\) −9.35446 + 13.0312i −0.342262 + 0.476787i
\(748\) 2.27681 0.610071i 0.0832486 0.0223064i
\(749\) −3.47805 + 3.47805i −0.127085 + 0.127085i
\(750\) 8.92911 + 1.62855i 0.326045 + 0.0594662i
\(751\) 14.1335 8.15996i 0.515737 0.297761i −0.219452 0.975623i \(-0.570427\pi\)
0.735189 + 0.677862i \(0.237093\pi\)
\(752\) 6.25540 + 1.67613i 0.228111 + 0.0611221i
\(753\) −14.5001 40.5784i −0.528414 1.47876i
\(754\) 10.1884 + 16.7956i 0.371040 + 0.611659i
\(755\) 8.12725i 0.295781i
\(756\) 3.60896 + 3.73837i 0.131257 + 0.135963i
\(757\) −5.00216 8.66399i −0.181806 0.314898i 0.760689 0.649116i \(-0.224861\pi\)
−0.942496 + 0.334218i \(0.891528\pi\)
\(758\) 0.116170 0.201212i 0.00421948 0.00730835i
\(759\) 6.92791 + 3.28019i 0.251467 + 0.119063i
\(760\) 0.780587 + 2.91319i 0.0283149 + 0.105672i
\(761\) 5.09719 + 19.0230i 0.184773 + 0.689582i 0.994679 + 0.103023i \(0.0328514\pi\)
−0.809906 + 0.586560i \(0.800482\pi\)
\(762\) 4.87183 + 2.30668i 0.176488 + 0.0835624i
\(763\) 9.53522 16.5155i 0.345198 0.597901i
\(764\) −2.89127 5.00783i −0.104603 0.181177i
\(765\) 0.430291 + 0.951780i 0.0155572 + 0.0344117i
\(766\) 9.28601i 0.335517i
\(767\) −16.7757 27.6548i −0.605736 0.998556i
\(768\) −0.582831 1.63104i −0.0210311 0.0588553i
\(769\) −0.00108190 0.000289894i −3.90143e−5 1.04539e-5i 0.258800 0.965931i \(-0.416673\pi\)
−0.258839 + 0.965921i \(0.583340\pi\)
\(770\) 1.70806 0.986151i 0.0615544 0.0355384i
\(771\) −29.7076 5.41827i −1.06989 0.195134i
\(772\) 13.3751 13.3751i 0.481380 0.481380i
\(773\) 25.6870 6.88281i 0.923897 0.247557i 0.234646 0.972081i \(-0.424607\pi\)
0.689250