Properties

Label 546.2.u.a.185.16
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.16
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.30626 + 1.13741i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.604752 - 1.04746i) q^{5} +(-0.562548 - 1.63815i) q^{6} +(-2.45540 + 0.985399i) q^{7} -1.00000i q^{8} +(0.412611 + 2.97149i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.30626 + 1.13741i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.604752 - 1.04746i) q^{5} +(-0.562548 - 1.63815i) q^{6} +(-2.45540 + 0.985399i) q^{7} -1.00000i q^{8} +(0.412611 + 2.97149i) q^{9} +1.20950i q^{10} -1.19922i q^{11} +(-0.331895 + 1.69995i) q^{12} +(-1.92468 + 3.04887i) q^{13} +(2.61914 + 0.374319i) q^{14} +(0.401428 - 2.05610i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.61925 + 4.53667i) q^{17} +(1.12841 - 2.77969i) q^{18} +7.35805i q^{19} +(0.604752 - 1.04746i) q^{20} +(-4.32818 - 1.50561i) q^{21} +(-0.599608 + 1.03855i) q^{22} +(3.13524 + 1.81013i) q^{23} +(1.13741 - 1.30626i) q^{24} +(1.76855 - 3.06322i) q^{25} +(3.19125 - 1.67806i) q^{26} +(-2.84082 + 4.35083i) q^{27} +(-2.08108 - 1.63374i) q^{28} +(-1.43268 + 0.827158i) q^{29} +(-1.37570 + 1.57992i) q^{30} +(-3.45662 - 1.99568i) q^{31} +(0.866025 - 0.500000i) q^{32} +(1.36400 - 1.56648i) q^{33} -5.23850i q^{34} +(2.51707 + 1.97601i) q^{35} +(-2.36708 + 1.84308i) q^{36} +(-4.50203 + 7.79774i) q^{37} +(3.67902 - 6.37226i) q^{38} +(-5.98193 + 1.79347i) q^{39} +(-1.04746 + 0.604752i) q^{40} +(0.0914442 + 0.158386i) q^{41} +(2.99551 + 3.46798i) q^{42} +(0.527263 - 0.913245i) q^{43} +(1.03855 - 0.599608i) q^{44} +(2.86299 - 2.22921i) q^{45} +(-1.81013 - 3.13524i) q^{46} +(-3.56307 - 6.17142i) q^{47} +(-1.63815 + 0.562548i) q^{48} +(5.05798 - 4.83910i) q^{49} +(-3.06322 + 1.76855i) q^{50} +(-1.73863 + 8.90520i) q^{51} +(-3.60274 - 0.142382i) q^{52} +(1.91564 + 1.10599i) q^{53} +(4.63564 - 2.34752i) q^{54} +(-1.25613 + 0.725228i) q^{55} +(0.985399 + 2.45540i) q^{56} +(-8.36910 + 9.61150i) q^{57} +1.65432 q^{58} +(-5.63264 - 9.75602i) q^{59} +(1.98135 - 0.680403i) q^{60} +6.61123i q^{61} +(1.99568 + 3.45662i) q^{62} +(-3.94123 - 6.88961i) q^{63} -1.00000 q^{64} +(4.35752 + 0.172212i) q^{65} +(-1.96450 + 0.674616i) q^{66} +10.7447 q^{67} +(-2.61925 + 4.53667i) q^{68} +(2.03657 + 5.93053i) q^{69} +(-1.19184 - 2.96981i) q^{70} +(-6.08827 - 3.51507i) q^{71} +(2.97149 - 0.412611i) q^{72} +(5.40931 + 3.12307i) q^{73} +(7.79774 - 4.50203i) q^{74} +(5.79431 - 1.98979i) q^{75} +(-6.37226 + 3.67902i) q^{76} +(1.18171 + 2.94455i) q^{77} +(6.07724 + 1.43778i) q^{78} +(2.23131 + 3.86475i) q^{79} +1.20950 q^{80} +(-8.65951 + 2.45214i) q^{81} -0.182888i q^{82} +16.6675 q^{83} +(-0.860198 - 4.50112i) q^{84} +(3.16799 - 5.48712i) q^{85} +(-0.913245 + 0.527263i) q^{86} +(-2.81226 - 0.549060i) q^{87} -1.19922 q^{88} +(-3.59604 + 6.22852i) q^{89} +(-3.59403 + 0.499054i) q^{90} +(1.72149 - 9.38277i) q^{91} +3.62026i q^{92} +(-2.24533 - 6.53845i) q^{93} +7.12615i q^{94} +(7.70727 - 4.44979i) q^{95} +(1.69995 + 0.331895i) q^{96} +(11.8894 + 6.86436i) q^{97} +(-6.79989 + 1.66179i) q^{98} +(3.56346 - 0.494809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.30626 + 1.13741i 0.754167 + 0.656682i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.604752 1.04746i −0.270453 0.468439i 0.698525 0.715586i \(-0.253840\pi\)
−0.968978 + 0.247147i \(0.920507\pi\)
\(6\) −0.562548 1.63815i −0.229659 0.668773i
\(7\) −2.45540 + 0.985399i −0.928054 + 0.372446i
\(8\) 1.00000i 0.353553i
\(9\) 0.412611 + 2.97149i 0.137537 + 0.990497i
\(10\) 1.20950i 0.382478i
\(11\) 1.19922i 0.361577i −0.983522 0.180789i \(-0.942135\pi\)
0.983522 0.180789i \(-0.0578650\pi\)
\(12\) −0.331895 + 1.69995i −0.0958099 + 0.490735i
\(13\) −1.92468 + 3.04887i −0.533809 + 0.845605i
\(14\) 2.61914 + 0.374319i 0.699994 + 0.100041i
\(15\) 0.401428 2.05610i 0.103648 0.530883i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.61925 + 4.53667i 0.635261 + 1.10030i 0.986460 + 0.164003i \(0.0524407\pi\)
−0.351199 + 0.936301i \(0.614226\pi\)
\(18\) 1.12841 2.77969i 0.265970 0.655179i
\(19\) 7.35805i 1.68805i 0.536302 + 0.844026i \(0.319821\pi\)
−0.536302 + 0.844026i \(0.680179\pi\)
\(20\) 0.604752 1.04746i 0.135227 0.234219i
\(21\) −4.32818 1.50561i −0.944487 0.328550i
\(22\) −0.599608 + 1.03855i −0.127837 + 0.221420i
\(23\) 3.13524 + 1.81013i 0.653742 + 0.377438i 0.789888 0.613251i \(-0.210138\pi\)
−0.136146 + 0.990689i \(0.543472\pi\)
\(24\) 1.13741 1.30626i 0.232172 0.266638i
\(25\) 1.76855 3.06322i 0.353710 0.612644i
\(26\) 3.19125 1.67806i 0.625856 0.329095i
\(27\) −2.84082 + 4.35083i −0.546716 + 0.837318i
\(28\) −2.08108 1.63374i −0.393287 0.308748i
\(29\) −1.43268 + 0.827158i −0.266042 + 0.153599i −0.627088 0.778949i \(-0.715753\pi\)
0.361046 + 0.932548i \(0.382420\pi\)
\(30\) −1.37570 + 1.57992i −0.251167 + 0.288453i
\(31\) −3.45662 1.99568i −0.620827 0.358435i 0.156364 0.987700i \(-0.450023\pi\)
−0.777191 + 0.629265i \(0.783356\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.36400 1.56648i 0.237441 0.272690i
\(34\) 5.23850i 0.898395i
\(35\) 2.51707 + 1.97601i 0.425463 + 0.334007i
\(36\) −2.36708 + 1.84308i −0.394513 + 0.307179i
\(37\) −4.50203 + 7.79774i −0.740128 + 1.28194i 0.212308 + 0.977203i \(0.431902\pi\)
−0.952436 + 0.304737i \(0.901431\pi\)
\(38\) 3.67902 6.37226i 0.596817 1.03372i
\(39\) −5.98193 + 1.79347i −0.957875 + 0.287185i
\(40\) −1.04746 + 0.604752i −0.165618 + 0.0956196i
\(41\) 0.0914442 + 0.158386i 0.0142812 + 0.0247357i 0.873078 0.487581i \(-0.162121\pi\)
−0.858796 + 0.512317i \(0.828787\pi\)
\(42\) 2.99551 + 3.46798i 0.462218 + 0.535121i
\(43\) 0.527263 0.913245i 0.0804068 0.139269i −0.823018 0.568015i \(-0.807711\pi\)
0.903425 + 0.428747i \(0.141045\pi\)
\(44\) 1.03855 0.599608i 0.156567 0.0903943i
\(45\) 2.86299 2.22921i 0.426790 0.332310i
\(46\) −1.81013 3.13524i −0.266889 0.462265i
\(47\) −3.56307 6.17142i −0.519728 0.900195i −0.999737 0.0229314i \(-0.992700\pi\)
0.480009 0.877263i \(-0.340633\pi\)
\(48\) −1.63815 + 0.562548i −0.236447 + 0.0811967i
\(49\) 5.05798 4.83910i 0.722568 0.691300i
\(50\) −3.06322 + 1.76855i −0.433205 + 0.250111i
\(51\) −1.73863 + 8.90520i −0.243457 + 1.24698i
\(52\) −3.60274 0.142382i −0.499610 0.0197449i
\(53\) 1.91564 + 1.10599i 0.263133 + 0.151920i 0.625763 0.780013i \(-0.284788\pi\)
−0.362630 + 0.931933i \(0.618121\pi\)
\(54\) 4.63564 2.34752i 0.630830 0.319457i
\(55\) −1.25613 + 0.725228i −0.169377 + 0.0977897i
\(56\) 0.985399 + 2.45540i 0.131680 + 0.328117i
\(57\) −8.36910 + 9.61150i −1.10851 + 1.27307i
\(58\) 1.65432 0.217222
\(59\) −5.63264 9.75602i −0.733308 1.27013i −0.955462 0.295115i \(-0.904642\pi\)
0.222154 0.975012i \(-0.428691\pi\)
\(60\) 1.98135 0.680403i 0.255791 0.0878397i
\(61\) 6.61123i 0.846481i 0.906017 + 0.423241i \(0.139107\pi\)
−0.906017 + 0.423241i \(0.860893\pi\)
\(62\) 1.99568 + 3.45662i 0.253452 + 0.438991i
\(63\) −3.94123 6.88961i −0.496548 0.868009i
\(64\) −1.00000 −0.125000
\(65\) 4.35752 + 0.172212i 0.540484 + 0.0213602i
\(66\) −1.96450 + 0.674616i −0.241813 + 0.0830395i
\(67\) 10.7447 1.31268 0.656338 0.754467i \(-0.272105\pi\)
0.656338 + 0.754467i \(0.272105\pi\)
\(68\) −2.61925 + 4.53667i −0.317630 + 0.550152i
\(69\) 2.03657 + 5.93053i 0.245174 + 0.713952i
\(70\) −1.19184 2.96981i −0.142453 0.354961i
\(71\) −6.08827 3.51507i −0.722545 0.417162i 0.0931436 0.995653i \(-0.470308\pi\)
−0.815689 + 0.578491i \(0.803642\pi\)
\(72\) 2.97149 0.412611i 0.350193 0.0486266i
\(73\) 5.40931 + 3.12307i 0.633112 + 0.365527i 0.781956 0.623333i \(-0.214222\pi\)
−0.148845 + 0.988861i \(0.547555\pi\)
\(74\) 7.79774 4.50203i 0.906468 0.523350i
\(75\) 5.79431 1.98979i 0.669069 0.229761i
\(76\) −6.37226 + 3.67902i −0.730948 + 0.422013i
\(77\) 1.18171 + 2.94455i 0.134668 + 0.335563i
\(78\) 6.07724 + 1.43778i 0.688112 + 0.162796i
\(79\) 2.23131 + 3.86475i 0.251042 + 0.434818i 0.963813 0.266579i \(-0.0858934\pi\)
−0.712771 + 0.701397i \(0.752560\pi\)
\(80\) 1.20950 0.135227
\(81\) −8.65951 + 2.45214i −0.962167 + 0.272460i
\(82\) 0.182888i 0.0201966i
\(83\) 16.6675 1.82949 0.914747 0.404027i \(-0.132390\pi\)
0.914747 + 0.404027i \(0.132390\pi\)
\(84\) −0.860198 4.50112i −0.0938553 0.491112i
\(85\) 3.16799 5.48712i 0.343617 0.595161i
\(86\) −0.913245 + 0.527263i −0.0984778 + 0.0568562i
\(87\) −2.81226 0.549060i −0.301506 0.0588654i
\(88\) −1.19922 −0.127837
\(89\) −3.59604 + 6.22852i −0.381179 + 0.660222i −0.991231 0.132139i \(-0.957815\pi\)
0.610052 + 0.792362i \(0.291149\pi\)
\(90\) −3.59403 + 0.499054i −0.378844 + 0.0526049i
\(91\) 1.72149 9.38277i 0.180461 0.983582i
\(92\) 3.62026i 0.377438i
\(93\) −2.24533 6.53845i −0.232830 0.678006i
\(94\) 7.12615i 0.735006i
\(95\) 7.70727 4.44979i 0.790749 0.456539i
\(96\) 1.69995 + 0.331895i 0.173501 + 0.0338739i
\(97\) 11.8894 + 6.86436i 1.20719 + 0.696970i 0.962144 0.272541i \(-0.0878642\pi\)
0.245044 + 0.969512i \(0.421198\pi\)
\(98\) −6.79989 + 1.66179i −0.686892 + 0.167867i
\(99\) 3.56346 0.494809i 0.358141 0.0497302i
\(100\) 3.53710 0.353710
\(101\) 3.25021 0.323408 0.161704 0.986839i \(-0.448301\pi\)
0.161704 + 0.986839i \(0.448301\pi\)
\(102\) 5.95830 6.84282i 0.589960 0.677540i
\(103\) −0.504870 + 0.291487i −0.0497463 + 0.0287210i −0.524667 0.851308i \(-0.675810\pi\)
0.474921 + 0.880029i \(0.342477\pi\)
\(104\) 3.04887 + 1.92468i 0.298967 + 0.188730i
\(105\) 1.04041 + 5.44412i 0.101534 + 0.531291i
\(106\) −1.10599 1.91564i −0.107424 0.186063i
\(107\) −8.21634 4.74371i −0.794304 0.458592i 0.0471717 0.998887i \(-0.484979\pi\)
−0.841476 + 0.540295i \(0.818313\pi\)
\(108\) −5.18834 0.284804i −0.499248 0.0274053i
\(109\) 6.23249 10.7950i 0.596964 1.03397i −0.396302 0.918120i \(-0.629707\pi\)
0.993266 0.115852i \(-0.0369599\pi\)
\(110\) 1.45046 0.138295
\(111\) −14.7500 + 5.06521i −1.40001 + 0.480768i
\(112\) 0.374319 2.61914i 0.0353698 0.247485i
\(113\) −9.73622 5.62121i −0.915907 0.528799i −0.0335797 0.999436i \(-0.510691\pi\)
−0.882327 + 0.470637i \(0.844024\pi\)
\(114\) 12.0536 4.13925i 1.12892 0.387677i
\(115\) 4.37872i 0.408317i
\(116\) −1.43268 0.827158i −0.133021 0.0767997i
\(117\) −9.85383 4.46116i −0.910987 0.412434i
\(118\) 11.2653i 1.03705i
\(119\) −10.9017 8.55833i −0.999360 0.784541i
\(120\) −2.05610 0.401428i −0.187695 0.0366452i
\(121\) 9.56188 0.869262
\(122\) 3.30561 5.72549i 0.299276 0.518362i
\(123\) −0.0606998 + 0.310902i −0.00547311 + 0.0280331i
\(124\) 3.99136i 0.358435i
\(125\) −10.3257 −0.923554
\(126\) −0.0316014 + 7.93719i −0.00281527 + 0.707101i
\(127\) −5.39553 9.34534i −0.478776 0.829265i 0.520928 0.853601i \(-0.325586\pi\)
−0.999704 + 0.0243362i \(0.992253\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 1.72747 0.593220i 0.152095 0.0522301i
\(130\) −3.68762 2.32790i −0.323426 0.204170i
\(131\) −9.42418 16.3232i −0.823394 1.42616i −0.903140 0.429346i \(-0.858744\pi\)
0.0797457 0.996815i \(-0.474589\pi\)
\(132\) 2.03861 + 0.398014i 0.177438 + 0.0346427i
\(133\) −7.25062 18.0670i −0.628708 1.56660i
\(134\) −9.30520 5.37236i −0.803846 0.464101i
\(135\) 6.27532 + 0.344472i 0.540093 + 0.0296474i
\(136\) 4.53667 2.61925i 0.389016 0.224599i
\(137\) 9.25524 5.34351i 0.790728 0.456527i −0.0494906 0.998775i \(-0.515760\pi\)
0.840219 + 0.542247i \(0.182426\pi\)
\(138\) 1.20155 6.15428i 0.102282 0.523887i
\(139\) −2.36204 1.36372i −0.200345 0.115669i 0.396471 0.918047i \(-0.370235\pi\)
−0.596817 + 0.802378i \(0.703568\pi\)
\(140\) −0.452740 + 3.16786i −0.0382635 + 0.267733i
\(141\) 2.36513 12.1141i 0.199180 1.02019i
\(142\) 3.51507 + 6.08827i 0.294978 + 0.510917i
\(143\) 3.65626 + 2.30810i 0.305751 + 0.193013i
\(144\) −2.77969 1.12841i −0.231641 0.0940345i
\(145\) 1.73283 + 1.00045i 0.143904 + 0.0830829i
\(146\) −3.12307 5.40931i −0.258467 0.447678i
\(147\) 12.1110 0.568124i 0.998902 0.0468581i
\(148\) −9.00405 −0.740128
\(149\) 1.51291i 0.123943i −0.998078 0.0619714i \(-0.980261\pi\)
0.998078 0.0619714i \(-0.0197387\pi\)
\(150\) −6.01291 1.17395i −0.490952 0.0958524i
\(151\) 1.52530 2.64189i 0.124127 0.214994i −0.797264 0.603630i \(-0.793720\pi\)
0.921391 + 0.388636i \(0.127054\pi\)
\(152\) 7.35805 0.596817
\(153\) −12.3999 + 9.65495i −1.00248 + 0.780556i
\(154\) 0.448889 3.14091i 0.0361725 0.253102i
\(155\) 4.82756i 0.387759i
\(156\) −4.54415 4.28377i −0.363823 0.342976i
\(157\) 2.30973 + 1.33352i 0.184336 + 0.106427i 0.589328 0.807894i \(-0.299392\pi\)
−0.404992 + 0.914320i \(0.632726\pi\)
\(158\) 4.46262i 0.355027i
\(159\) 1.24435 + 3.62357i 0.0986833 + 0.287368i
\(160\) −1.04746 0.604752i −0.0828090 0.0478098i
\(161\) −9.48196 1.35513i −0.747283 0.106799i
\(162\) 8.72542 + 2.20614i 0.685534 + 0.173331i
\(163\) −17.9191 −1.40353 −0.701766 0.712408i \(-0.747605\pi\)
−0.701766 + 0.712408i \(0.747605\pi\)
\(164\) −0.0914442 + 0.158386i −0.00714059 + 0.0123679i
\(165\) −2.46571 0.481399i −0.191955 0.0374769i
\(166\) −14.4345 8.33374i −1.12033 0.646824i
\(167\) 9.94539 + 17.2259i 0.769597 + 1.33298i 0.937782 + 0.347226i \(0.112876\pi\)
−0.168184 + 0.985756i \(0.553790\pi\)
\(168\) −1.50561 + 4.32818i −0.116160 + 0.333926i
\(169\) −5.59124 11.7362i −0.430096 0.902783i
\(170\) −5.48712 + 3.16799i −0.420843 + 0.242974i
\(171\) −21.8644 + 3.03601i −1.67201 + 0.232169i
\(172\) 1.05453 0.0804068
\(173\) 17.5486 1.33419 0.667096 0.744971i \(-0.267537\pi\)
0.667096 + 0.744971i \(0.267537\pi\)
\(174\) 2.16096 + 1.88163i 0.163822 + 0.142646i
\(175\) −1.32400 + 9.26416i −0.100085 + 0.700305i
\(176\) 1.03855 + 0.599608i 0.0782837 + 0.0451971i
\(177\) 3.73890 19.1505i 0.281033 1.43944i
\(178\) 6.22852 3.59604i 0.466848 0.269535i
\(179\) 22.9984i 1.71898i 0.511152 + 0.859490i \(0.329219\pi\)
−0.511152 + 0.859490i \(0.670781\pi\)
\(180\) 3.36205 + 1.36482i 0.250592 + 0.101728i
\(181\) 7.49251i 0.556914i 0.960449 + 0.278457i \(0.0898230\pi\)
−0.960449 + 0.278457i \(0.910177\pi\)
\(182\) −6.18224 + 7.26498i −0.458258 + 0.538516i
\(183\) −7.51966 + 8.63596i −0.555869 + 0.638388i
\(184\) 1.81013 3.13524i 0.133445 0.231133i
\(185\) 10.8904 0.800680
\(186\) −1.32471 + 6.78513i −0.0971327 + 0.497510i
\(187\) 5.44045 3.14104i 0.397845 0.229696i
\(188\) 3.56307 6.17142i 0.259864 0.450097i
\(189\) 2.68804 13.4824i 0.195526 0.980699i
\(190\) −8.89958 −0.645644
\(191\) 20.6038i 1.49084i −0.666596 0.745419i \(-0.732249\pi\)
0.666596 0.745419i \(-0.267751\pi\)
\(192\) −1.30626 1.13741i −0.0942709 0.0820853i
\(193\) 7.99346 0.575382 0.287691 0.957723i \(-0.407112\pi\)
0.287691 + 0.957723i \(0.407112\pi\)
\(194\) −6.86436 11.8894i −0.492833 0.853611i
\(195\) 5.49617 + 5.18123i 0.393589 + 0.371036i
\(196\) 6.71977 + 1.96079i 0.479984 + 0.140056i
\(197\) 12.3941 7.15573i 0.883042 0.509825i 0.0113819 0.999935i \(-0.496377\pi\)
0.871660 + 0.490111i \(0.163044\pi\)
\(198\) −3.33345 1.35321i −0.236898 0.0961686i
\(199\) 2.84181 1.64072i 0.201451 0.116308i −0.395881 0.918302i \(-0.629561\pi\)
0.597332 + 0.801994i \(0.296227\pi\)
\(200\) −3.06322 1.76855i −0.216602 0.125055i
\(201\) 14.0353 + 12.2211i 0.989977 + 0.862011i
\(202\) −2.81477 1.62511i −0.198046 0.114342i
\(203\) 2.70272 3.44277i 0.189694 0.241635i
\(204\) −8.58145 + 2.94690i −0.600822 + 0.206324i
\(205\) 0.110602 0.191568i 0.00772478 0.0133797i
\(206\) 0.582974 0.0406177
\(207\) −4.08515 + 10.0632i −0.283938 + 0.699441i
\(208\) −1.67806 3.19125i −0.116353 0.221274i
\(209\) 8.82389 0.610361
\(210\) 1.82103 5.23495i 0.125663 0.361246i
\(211\) 5.52912 + 9.57673i 0.380641 + 0.659289i 0.991154 0.132717i \(-0.0423702\pi\)
−0.610513 + 0.792006i \(0.709037\pi\)
\(212\) 2.21199i 0.151920i
\(213\) −3.95478 11.5164i −0.270977 0.789092i
\(214\) 4.74371 + 8.21634i 0.324273 + 0.561658i
\(215\) −1.27545 −0.0869851
\(216\) 4.35083 + 2.84082i 0.296037 + 0.193293i
\(217\) 10.4539 + 1.49404i 0.709658 + 0.101422i
\(218\) −10.7950 + 6.23249i −0.731129 + 0.422117i
\(219\) 3.51375 + 10.2321i 0.237437 + 0.691422i
\(220\) −1.25613 0.725228i −0.0846883 0.0488948i
\(221\) −18.8729 0.745868i −1.26953 0.0501725i
\(222\) 15.3065 + 2.98840i 1.02730 + 0.200568i
\(223\) −10.5899 + 6.11409i −0.709153 + 0.409429i −0.810747 0.585396i \(-0.800939\pi\)
0.101595 + 0.994826i \(0.467606\pi\)
\(224\) −1.63374 + 2.08108i −0.109159 + 0.139048i
\(225\) 9.83205 + 3.99131i 0.655470 + 0.266088i
\(226\) 5.62121 + 9.73622i 0.373917 + 0.647644i
\(227\) 14.5055 + 25.1243i 0.962766 + 1.66756i 0.715500 + 0.698613i \(0.246199\pi\)
0.247266 + 0.968948i \(0.420468\pi\)
\(228\) −12.5083 2.44210i −0.828386 0.161732i
\(229\) 24.0075 13.8607i 1.58646 0.915943i 0.592576 0.805515i \(-0.298111\pi\)
0.993884 0.110428i \(-0.0352222\pi\)
\(230\) −2.18936 + 3.79208i −0.144362 + 0.250042i
\(231\) −1.80555 + 5.19042i −0.118796 + 0.341505i
\(232\) 0.827158 + 1.43268i 0.0543056 + 0.0940601i
\(233\) 3.05589 1.76432i 0.200198 0.115584i −0.396550 0.918013i \(-0.629793\pi\)
0.596748 + 0.802429i \(0.296459\pi\)
\(234\) 6.30309 + 8.79039i 0.412046 + 0.574646i
\(235\) −4.30955 + 7.46436i −0.281124 + 0.486921i
\(236\) 5.63264 9.75602i 0.366654 0.635063i
\(237\) −1.48112 + 7.58626i −0.0962093 + 0.492780i
\(238\) 5.16201 + 12.8626i 0.334603 + 0.833759i
\(239\) 7.54413i 0.487989i 0.969777 + 0.243994i \(0.0784579\pi\)
−0.969777 + 0.243994i \(0.921542\pi\)
\(240\) 1.57992 + 1.37570i 0.101983 + 0.0888009i
\(241\) −10.6818 + 6.16717i −0.688078 + 0.397262i −0.802892 0.596125i \(-0.796706\pi\)
0.114814 + 0.993387i \(0.463373\pi\)
\(242\) −8.28083 4.78094i −0.532312 0.307331i
\(243\) −14.1006 6.64626i −0.904554 0.426358i
\(244\) −5.72549 + 3.30561i −0.366537 + 0.211620i
\(245\) −8.12758 2.37158i −0.519252 0.151515i
\(246\) 0.208018 0.238899i 0.0132628 0.0152316i
\(247\) −22.4338 14.1619i −1.42743 0.901098i
\(248\) −1.99568 + 3.45662i −0.126726 + 0.219495i
\(249\) 21.7720 + 18.9577i 1.37974 + 1.20140i
\(250\) 8.94228 + 5.16283i 0.565559 + 0.326526i
\(251\) 5.07909 8.79724i 0.320589 0.555277i −0.660020 0.751248i \(-0.729452\pi\)
0.980610 + 0.195971i \(0.0627858\pi\)
\(252\) 3.99596 6.85801i 0.251722 0.432014i
\(253\) 2.17074 3.75983i 0.136473 0.236378i
\(254\) 10.7911i 0.677092i
\(255\) 10.3793 3.56429i 0.649976 0.223204i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −6.83862 + 11.8448i −0.426581 + 0.738860i −0.996567 0.0827945i \(-0.973615\pi\)
0.569985 + 0.821655i \(0.306949\pi\)
\(258\) −1.79264 0.349992i −0.111605 0.0217895i
\(259\) 3.37039 23.5829i 0.209426 1.46537i
\(260\) 2.02962 + 3.85983i 0.125872 + 0.239377i
\(261\) −3.04903 3.91590i −0.188730 0.242388i
\(262\) 18.8484i 1.16446i
\(263\) 21.5058i 1.32610i −0.748574 0.663051i \(-0.769261\pi\)
0.748574 0.663051i \(-0.230739\pi\)
\(264\) −1.56648 1.36400i −0.0964104 0.0839482i
\(265\) 2.67541i 0.164349i
\(266\) −2.75426 + 19.2717i −0.168874 + 1.18163i
\(267\) −11.7817 + 4.04589i −0.721029 + 0.247604i
\(268\) 5.37236 + 9.30520i 0.328169 + 0.568405i
\(269\) 14.0784 + 24.3845i 0.858373 + 1.48675i 0.873480 + 0.486860i \(0.161858\pi\)
−0.0151065 + 0.999886i \(0.504809\pi\)
\(270\) −5.26235 3.43598i −0.320256 0.209107i
\(271\) 2.61384 + 1.50910i 0.158779 + 0.0916712i 0.577284 0.816543i \(-0.304112\pi\)
−0.418505 + 0.908214i \(0.637446\pi\)
\(272\) −5.23850 −0.317630
\(273\) 12.9207 10.2983i 0.781999 0.623280i
\(274\) −10.6870 −0.645627
\(275\) −3.67346 2.12087i −0.221518 0.127894i
\(276\) −4.11771 + 4.72899i −0.247857 + 0.284652i
\(277\) 5.66656 + 9.81478i 0.340471 + 0.589713i 0.984520 0.175271i \(-0.0560802\pi\)
−0.644049 + 0.764984i \(0.722747\pi\)
\(278\) 1.36372 + 2.36204i 0.0817906 + 0.141665i
\(279\) 4.50390 11.0947i 0.269642 0.664225i
\(280\) 1.97601 2.51707i 0.118089 0.150424i
\(281\) 8.18525i 0.488291i 0.969739 + 0.244146i \(0.0785075\pi\)
−0.969739 + 0.244146i \(0.921493\pi\)
\(282\) −8.10533 + 9.30857i −0.482665 + 0.554317i
\(283\) 13.0035i 0.772980i 0.922294 + 0.386490i \(0.126313\pi\)
−0.922294 + 0.386490i \(0.873687\pi\)
\(284\) 7.03013i 0.417162i
\(285\) 15.1289 + 2.95373i 0.896158 + 0.174964i
\(286\) −2.01236 3.82700i −0.118993 0.226295i
\(287\) −0.380605 0.298792i −0.0224664 0.0176371i
\(288\) 1.84308 + 2.36708i 0.108604 + 0.139482i
\(289\) −5.22092 + 9.04289i −0.307113 + 0.531935i
\(290\) −1.00045 1.73283i −0.0587485 0.101755i
\(291\) 7.72306 + 22.4897i 0.452734 + 1.31837i
\(292\) 6.24613i 0.365527i
\(293\) −9.77684 + 16.9340i −0.571169 + 0.989294i 0.425277 + 0.905063i \(0.360177\pi\)
−0.996446 + 0.0842309i \(0.973157\pi\)
\(294\) −10.7725 5.56351i −0.628267 0.324470i
\(295\) −6.81270 + 11.7999i −0.396651 + 0.687019i
\(296\) 7.79774 + 4.50203i 0.453234 + 0.261675i
\(297\) 5.21759 + 3.40675i 0.302755 + 0.197680i
\(298\) −0.756457 + 1.31022i −0.0438204 + 0.0758991i
\(299\) −11.5532 + 6.07502i −0.668137 + 0.351328i
\(300\) 4.62036 + 4.02312i 0.266757 + 0.232275i
\(301\) −0.394729 + 2.76195i −0.0227518 + 0.159196i
\(302\) −2.64189 + 1.52530i −0.152024 + 0.0877710i
\(303\) 4.24561 + 3.69682i 0.243904 + 0.212377i
\(304\) −6.37226 3.67902i −0.365474 0.211007i
\(305\) 6.92500 3.99815i 0.396524 0.228933i
\(306\) 15.5661 2.16146i 0.889857 0.123562i
\(307\) 27.7274i 1.58248i −0.611503 0.791242i \(-0.709435\pi\)
0.611503 0.791242i \(-0.290565\pi\)
\(308\) −1.95921 + 2.49566i −0.111636 + 0.142204i
\(309\) −0.991029 0.193486i −0.0563776 0.0110070i
\(310\) 2.41378 4.18079i 0.137094 0.237453i
\(311\) −3.82623 + 6.62722i −0.216965 + 0.375795i −0.953879 0.300192i \(-0.902949\pi\)
0.736913 + 0.675987i \(0.236283\pi\)
\(312\) 1.79347 + 5.98193i 0.101535 + 0.338660i
\(313\) 3.76450 2.17344i 0.212782 0.122850i −0.389821 0.920890i \(-0.627463\pi\)
0.602604 + 0.798041i \(0.294130\pi\)
\(314\) −1.33352 2.30973i −0.0752550 0.130345i
\(315\) −4.83313 + 8.29478i −0.272316 + 0.467358i
\(316\) −2.23131 + 3.86475i −0.125521 + 0.217409i
\(317\) 13.4867 7.78654i 0.757488 0.437336i −0.0709052 0.997483i \(-0.522589\pi\)
0.828393 + 0.560147i \(0.189255\pi\)
\(318\) 0.734148 3.76028i 0.0411690 0.210866i
\(319\) 0.991941 + 1.71809i 0.0555380 + 0.0961947i
\(320\) 0.604752 + 1.04746i 0.0338066 + 0.0585548i
\(321\) −5.33712 15.5418i −0.297889 0.867460i
\(322\) 7.53405 + 5.91456i 0.419856 + 0.329605i
\(323\) −33.3810 + 19.2726i −1.85737 + 1.07235i
\(324\) −6.45336 6.27328i −0.358520 0.348516i
\(325\) 5.93548 + 11.2878i 0.329241 + 0.626134i
\(326\) 15.5184 + 8.95954i 0.859484 + 0.496223i
\(327\) 20.4195 7.01214i 1.12920 0.387772i
\(328\) 0.158386 0.0914442i 0.00874540 0.00504916i
\(329\) 14.8301 + 11.6423i 0.817609 + 0.641859i
\(330\) 1.89467 + 1.64976i 0.104298 + 0.0908162i
\(331\) −15.6922 −0.862520 −0.431260 0.902228i \(-0.641931\pi\)
−0.431260 + 0.902228i \(0.641931\pi\)
\(332\) 8.33374 + 14.4345i 0.457374 + 0.792194i
\(333\) −25.0285 10.1603i −1.37155 0.556781i
\(334\) 19.8908i 1.08837i
\(335\) −6.49788 11.2547i −0.355017 0.614908i
\(336\) 3.46798 2.99551i 0.189194 0.163419i
\(337\) 0.251195 0.0136835 0.00684174 0.999977i \(-0.497822\pi\)
0.00684174 + 0.999977i \(0.497822\pi\)
\(338\) −1.02593 + 12.9595i −0.0558033 + 0.704901i
\(339\) −6.32440 18.4168i −0.343494 1.00026i
\(340\) 6.33598 0.343617
\(341\) −2.39325 + 4.14523i −0.129602 + 0.224477i
\(342\) 20.4531 + 8.30292i 1.10598 + 0.448971i
\(343\) −7.65091 + 16.8660i −0.413110 + 0.910681i
\(344\) −0.913245 0.527263i −0.0492389 0.0284281i
\(345\) 4.98038 5.71972i 0.268135 0.307940i
\(346\) −15.1975 8.77428i −0.817023 0.471708i
\(347\) 18.4144 10.6315i 0.988535 0.570731i 0.0836992 0.996491i \(-0.473326\pi\)
0.904836 + 0.425760i \(0.139993\pi\)
\(348\) −0.930632 2.71002i −0.0498871 0.145272i
\(349\) −3.33934 + 1.92797i −0.178751 + 0.103202i −0.586706 0.809800i \(-0.699575\pi\)
0.407955 + 0.913002i \(0.366242\pi\)
\(350\) 5.77870 7.36099i 0.308885 0.393462i
\(351\) −7.79748 17.0352i −0.416199 0.909274i
\(352\) −0.599608 1.03855i −0.0319592 0.0553550i
\(353\) 8.71387 0.463792 0.231896 0.972741i \(-0.425507\pi\)
0.231896 + 0.972741i \(0.425507\pi\)
\(354\) −12.8132 + 14.7154i −0.681015 + 0.782112i
\(355\) 8.50297i 0.451291i
\(356\) −7.19208 −0.381179
\(357\) −4.50615 23.5791i −0.238491 1.24794i
\(358\) 11.4992 19.9172i 0.607751 1.05266i
\(359\) −17.7662 + 10.2573i −0.937663 + 0.541360i −0.889227 0.457466i \(-0.848757\pi\)
−0.0484360 + 0.998826i \(0.515424\pi\)
\(360\) −2.22921 2.86299i −0.117489 0.150893i
\(361\) −35.1409 −1.84952
\(362\) 3.74626 6.48871i 0.196899 0.341039i
\(363\) 12.4903 + 10.8758i 0.655569 + 0.570829i
\(364\) 8.98647 3.20053i 0.471019 0.167753i
\(365\) 7.55472i 0.395432i
\(366\) 10.8302 3.71913i 0.566103 0.194402i
\(367\) 23.8743i 1.24623i −0.782131 0.623114i \(-0.785867\pi\)
0.782131 0.623114i \(-0.214133\pi\)
\(368\) −3.13524 + 1.81013i −0.163436 + 0.0943595i
\(369\) −0.432911 + 0.337077i −0.0225365 + 0.0175475i
\(370\) −9.43139 5.44521i −0.490314 0.283083i
\(371\) −5.79350 0.827989i −0.300784 0.0429871i
\(372\) 4.53980 5.21374i 0.235378 0.270320i
\(373\) 3.06102 0.158493 0.0792467 0.996855i \(-0.474749\pi\)
0.0792467 + 0.996855i \(0.474749\pi\)
\(374\) −6.28209 −0.324839
\(375\) −13.4879 11.7445i −0.696515 0.606482i
\(376\) −6.17142 + 3.56307i −0.318267 + 0.183751i
\(377\) 0.235545 5.96007i 0.0121312 0.306959i
\(378\) −9.06910 + 10.3321i −0.466464 + 0.531424i
\(379\) 8.74613 + 15.1487i 0.449259 + 0.778139i 0.998338 0.0576314i \(-0.0183548\pi\)
−0.549079 + 0.835770i \(0.685021\pi\)
\(380\) 7.70727 + 4.44979i 0.395374 + 0.228270i
\(381\) 3.58150 18.3443i 0.183486 0.939808i
\(382\) −10.3019 + 17.8434i −0.527091 + 0.912948i
\(383\) −28.4752 −1.45501 −0.727506 0.686101i \(-0.759321\pi\)
−0.727506 + 0.686101i \(0.759321\pi\)
\(384\) 0.562548 + 1.63815i 0.0287074 + 0.0835966i
\(385\) 2.36967 3.01851i 0.120769 0.153838i
\(386\) −6.92254 3.99673i −0.352348 0.203428i
\(387\) 2.93125 + 1.18994i 0.149004 + 0.0604881i
\(388\) 13.7287i 0.696970i
\(389\) −31.0564 17.9304i −1.57462 0.909107i −0.995591 0.0938003i \(-0.970098\pi\)
−0.579029 0.815307i \(-0.696568\pi\)
\(390\) −2.16921 7.23516i −0.109842 0.366367i
\(391\) 18.9647i 0.959087i
\(392\) −4.83910 5.05798i −0.244411 0.255466i
\(393\) 6.25568 32.0414i 0.315557 1.61627i
\(394\) −14.3115 −0.721001
\(395\) 2.69878 4.67442i 0.135790 0.235196i
\(396\) 2.21025 + 2.83864i 0.111069 + 0.142647i
\(397\) 33.2599i 1.66927i 0.550806 + 0.834633i \(0.314320\pi\)
−0.550806 + 0.834633i \(0.685680\pi\)
\(398\) −3.28144 −0.164484
\(399\) 11.0783 31.8470i 0.554610 1.59434i
\(400\) 1.76855 + 3.06322i 0.0884276 + 0.153161i
\(401\) −5.40499 3.12057i −0.269912 0.155834i 0.358936 0.933362i \(-0.383140\pi\)
−0.628848 + 0.777528i \(0.716473\pi\)
\(402\) −6.04441 17.6015i −0.301468 0.877881i
\(403\) 12.7374 6.69775i 0.634497 0.333639i
\(404\) 1.62511 + 2.81477i 0.0808521 + 0.140040i
\(405\) 7.80537 + 7.58756i 0.387852 + 0.377029i
\(406\) −4.06201 + 1.63016i −0.201594 + 0.0809036i
\(407\) 9.35117 + 5.39890i 0.463520 + 0.267614i
\(408\) 8.90520 + 1.73863i 0.440873 + 0.0860751i
\(409\) 26.8373 15.4945i 1.32702 0.766154i 0.342180 0.939634i \(-0.388835\pi\)
0.984837 + 0.173481i \(0.0555014\pi\)
\(410\) −0.191568 + 0.110602i −0.00946088 + 0.00546224i
\(411\) 18.1675 + 3.54697i 0.896135 + 0.174959i
\(412\) −0.504870 0.291487i −0.0248732 0.0143605i
\(413\) 23.4440 + 18.4045i 1.15360 + 0.905628i
\(414\) 8.56945 6.67241i 0.421165 0.327931i
\(415\) −10.0797 17.4585i −0.494792 0.857006i
\(416\) −0.142382 + 3.60274i −0.00698086 + 0.176639i
\(417\) −1.53432 4.46797i −0.0751358 0.218797i
\(418\) −7.64171 4.41194i −0.373768 0.215795i
\(419\) 12.6145 + 21.8489i 0.616258 + 1.06739i 0.990162 + 0.139923i \(0.0446856\pi\)
−0.373904 + 0.927467i \(0.621981\pi\)
\(420\) −4.19454 + 3.62308i −0.204672 + 0.176788i
\(421\) −8.22465 −0.400845 −0.200422 0.979710i \(-0.564231\pi\)
−0.200422 + 0.979710i \(0.564231\pi\)
\(422\) 11.0582i 0.538307i
\(423\) 16.8682 13.1340i 0.820158 0.638598i
\(424\) 1.10599 1.91564i 0.0537118 0.0930316i
\(425\) 18.5291 0.898793
\(426\) −2.33327 + 11.9509i −0.113047 + 0.579023i
\(427\) −6.51470 16.2332i −0.315268 0.785580i
\(428\) 9.48742i 0.458592i
\(429\) 2.15076 + 7.17362i 0.103839 + 0.346346i
\(430\) 1.10457 + 0.637726i 0.0532673 + 0.0307539i
\(431\) 19.9545i 0.961177i −0.876946 0.480588i \(-0.840423\pi\)
0.876946 0.480588i \(-0.159577\pi\)
\(432\) −2.34752 4.63564i −0.112945 0.223032i
\(433\) 19.2106 + 11.0912i 0.923202 + 0.533011i 0.884655 0.466246i \(-0.154394\pi\)
0.0385467 + 0.999257i \(0.487727\pi\)
\(434\) −8.30634 6.52084i −0.398717 0.313010i
\(435\) 1.12560 + 3.27778i 0.0539685 + 0.157157i
\(436\) 12.4650 0.596964
\(437\) −13.3190 + 23.0692i −0.637135 + 1.10355i
\(438\) 2.07306 10.6181i 0.0990547 0.507354i
\(439\) −23.6668 13.6641i −1.12956 0.652150i −0.185733 0.982600i \(-0.559466\pi\)
−0.943823 + 0.330451i \(0.892799\pi\)
\(440\) 0.725228 + 1.25613i 0.0345739 + 0.0598837i
\(441\) 16.4663 + 13.0331i 0.784110 + 0.620622i
\(442\) 15.9715 + 10.0824i 0.759687 + 0.479571i
\(443\) −19.5551 + 11.2902i −0.929093 + 0.536412i −0.886525 0.462681i \(-0.846887\pi\)
−0.0425684 + 0.999094i \(0.513554\pi\)
\(444\) −11.7616 10.2413i −0.558181 0.486029i
\(445\) 8.69884 0.412365
\(446\) 12.2282 0.579021
\(447\) 1.72080 1.97625i 0.0813910 0.0934736i
\(448\) 2.45540 0.985399i 0.116007 0.0465557i
\(449\) −7.97653 4.60525i −0.376436 0.217335i 0.299831 0.953992i \(-0.403070\pi\)
−0.676266 + 0.736657i \(0.736403\pi\)
\(450\) −6.51915 8.37261i −0.307316 0.394688i
\(451\) 0.189939 0.109661i 0.00894387 0.00516375i
\(452\) 11.2424i 0.528799i
\(453\) 4.99734 1.71610i 0.234795 0.0806296i
\(454\) 29.0111i 1.36156i
\(455\) −10.8692 + 3.87105i −0.509554 + 0.181478i
\(456\) 9.61150 + 8.36910i 0.450100 + 0.391919i
\(457\) 3.32459 5.75837i 0.155518 0.269365i −0.777730 0.628599i \(-0.783629\pi\)
0.933248 + 0.359234i \(0.116962\pi\)
\(458\) −27.7215 −1.29534
\(459\) −27.1791 1.49195i −1.26861 0.0696381i
\(460\) 3.79208 2.18936i 0.176807 0.102079i
\(461\) 11.8184 20.4701i 0.550439 0.953388i −0.447804 0.894132i \(-0.647794\pi\)
0.998243 0.0592563i \(-0.0188729\pi\)
\(462\) 4.15886 3.59227i 0.193488 0.167127i
\(463\) 8.09426 0.376172 0.188086 0.982153i \(-0.439772\pi\)
0.188086 + 0.982153i \(0.439772\pi\)
\(464\) 1.65432i 0.0767997i
\(465\) −5.49090 + 6.30603i −0.254634 + 0.292435i
\(466\) −3.52864 −0.163461
\(467\) −1.92869 3.34059i −0.0892492 0.154584i 0.817945 0.575297i \(-0.195113\pi\)
−0.907194 + 0.420713i \(0.861780\pi\)
\(468\) −1.06344 10.7643i −0.0491576 0.497578i
\(469\) −26.3826 + 10.5878i −1.21823 + 0.488901i
\(470\) 7.46436 4.30955i 0.344305 0.198785i
\(471\) 1.50034 + 4.36902i 0.0691320 + 0.201314i
\(472\) −9.75602 + 5.63264i −0.449057 + 0.259263i
\(473\) −1.09518 0.632301i −0.0503564 0.0290733i
\(474\) 5.07582 5.82933i 0.233140 0.267750i
\(475\) 22.5393 + 13.0131i 1.03418 + 0.597081i
\(476\) 1.96087 13.7203i 0.0898763 0.628871i
\(477\) −2.49604 + 6.14864i −0.114286 + 0.281527i
\(478\) 3.77206 6.53341i 0.172530 0.298831i
\(479\) 8.22973 0.376026 0.188013 0.982167i \(-0.439795\pi\)
0.188013 + 0.982167i \(0.439795\pi\)
\(480\) −0.680403 1.98135i −0.0310560 0.0904358i
\(481\) −15.1094 28.7342i −0.688928 1.31017i
\(482\) 12.3343 0.561813
\(483\) −10.8445 12.5550i −0.493443 0.571272i
\(484\) 4.78094 + 8.28083i 0.217315 + 0.376401i
\(485\) 16.6049i 0.753991i
\(486\) 8.88835 + 12.8061i 0.403184 + 0.580898i
\(487\) 11.5091 + 19.9343i 0.521525 + 0.903308i 0.999687 + 0.0250358i \(0.00796999\pi\)
−0.478162 + 0.878272i \(0.658697\pi\)
\(488\) 6.61123 0.299276
\(489\) −23.4069 20.3813i −1.05850 0.921674i
\(490\) 5.85290 + 6.11764i 0.264407 + 0.276367i
\(491\) −25.3393 + 14.6297i −1.14355 + 0.660228i −0.947307 0.320328i \(-0.896207\pi\)
−0.196241 + 0.980556i \(0.562873\pi\)
\(492\) −0.299599 + 0.102883i −0.0135070 + 0.00463834i
\(493\) −7.50509 4.33306i −0.338012 0.195151i
\(494\) 12.3473 + 23.4814i 0.555530 + 1.05648i
\(495\) −2.67330 3.43334i −0.120156 0.154317i
\(496\) 3.45662 1.99568i 0.155207 0.0896086i
\(497\) 18.4129 + 2.63151i 0.825931 + 0.118039i
\(498\) −9.37625 27.3039i −0.420160 1.22352i
\(499\) 15.3836 + 26.6451i 0.688663 + 1.19280i 0.972270 + 0.233859i \(0.0751355\pi\)
−0.283607 + 0.958941i \(0.591531\pi\)
\(500\) −5.16283 8.94228i −0.230889 0.399911i
\(501\) −6.60165 + 33.8134i −0.294940 + 1.51067i
\(502\) −8.79724 + 5.07909i −0.392640 + 0.226691i
\(503\) −10.0612 + 17.4265i −0.448606 + 0.777008i −0.998296 0.0583607i \(-0.981413\pi\)
0.549690 + 0.835369i \(0.314746\pi\)
\(504\) −6.88961 + 3.94123i −0.306888 + 0.175556i
\(505\) −1.96557 3.40447i −0.0874668 0.151497i
\(506\) −3.75983 + 2.17074i −0.167145 + 0.0965010i
\(507\) 6.04522 21.6900i 0.268478 0.963286i
\(508\) 5.39553 9.34534i 0.239388 0.414632i
\(509\) −5.34216 + 9.25288i −0.236787 + 0.410127i −0.959790 0.280717i \(-0.909428\pi\)
0.723004 + 0.690844i \(0.242761\pi\)
\(510\) −10.7709 2.10288i −0.476942 0.0931171i
\(511\) −16.3595 2.33805i −0.723701 0.103429i
\(512\) 1.00000i 0.0441942i
\(513\) −32.0136 20.9029i −1.41344 0.922885i
\(514\) 11.8448 6.83862i 0.522453 0.301638i
\(515\) 0.610642 + 0.352554i 0.0269081 + 0.0155354i
\(516\) 1.37748 + 1.19942i 0.0606402 + 0.0528017i
\(517\) −7.40087 + 4.27289i −0.325490 + 0.187922i
\(518\) −14.7103 + 18.7382i −0.646332 + 0.823307i
\(519\) 22.9229 + 19.9599i 1.00620 + 0.876141i
\(520\) 0.172212 4.35752i 0.00755198 0.191090i
\(521\) 9.16008 15.8657i 0.401310 0.695090i −0.592574 0.805516i \(-0.701888\pi\)
0.993884 + 0.110426i \(0.0352215\pi\)
\(522\) 0.682588 + 4.91579i 0.0298761 + 0.215158i
\(523\) −1.26376 0.729631i −0.0552603 0.0319045i 0.472115 0.881537i \(-0.343491\pi\)
−0.527376 + 0.849632i \(0.676824\pi\)
\(524\) 9.42418 16.3232i 0.411697 0.713081i
\(525\) −12.2666 + 10.5954i −0.535359 + 0.462423i
\(526\) −10.7529 + 18.6245i −0.468848 + 0.812069i
\(527\) 20.9087i 0.910798i
\(528\) 0.674616 + 1.96450i 0.0293589 + 0.0854938i
\(529\) −4.94686 8.56821i −0.215081 0.372531i
\(530\) −1.33770 + 2.31697i −0.0581061 + 0.100643i
\(531\) 26.6658 20.7628i 1.15720 0.901028i
\(532\) 12.0211 15.3127i 0.521182 0.663890i
\(533\) −0.658899 0.0260400i −0.0285401 0.00112792i
\(534\) 12.2262 + 2.38702i 0.529080 + 0.103296i
\(535\) 11.4751i 0.496110i
\(536\) 10.7447i 0.464101i
\(537\) −26.1585 + 30.0418i −1.12882 + 1.29640i
\(538\) 28.1567i 1.21392i
\(539\) −5.80312 6.06560i −0.249958 0.261264i
\(540\) 2.83934 + 5.60682i 0.122186 + 0.241279i
\(541\) 16.5670 + 28.6949i 0.712270 + 1.23369i 0.964003 + 0.265892i \(0.0856663\pi\)
−0.251733 + 0.967797i \(0.581000\pi\)
\(542\) −1.50910 2.61384i −0.0648213 0.112274i
\(543\) −8.52204 + 9.78714i −0.365716 + 0.420007i
\(544\) 4.53667 + 2.61925i 0.194508 + 0.112299i
\(545\) −15.0764 −0.645803
\(546\) −16.3388 + 2.45819i −0.699237 + 0.105201i
\(547\) 29.1612 1.24684 0.623421 0.781886i \(-0.285742\pi\)
0.623421 + 0.781886i \(0.285742\pi\)
\(548\) 9.25524 + 5.34351i 0.395364 + 0.228264i
\(549\) −19.6452 + 2.72786i −0.838437 + 0.116422i
\(550\) 2.12087 + 3.67346i 0.0904344 + 0.156637i
\(551\) −6.08627 10.5417i −0.259284 0.449093i
\(552\) 5.93053 2.03657i 0.252420 0.0866821i
\(553\) −9.28708 7.29076i −0.394927 0.310035i
\(554\) 11.3331i 0.481499i
\(555\) 14.2257 + 12.3868i 0.603847 + 0.525792i
\(556\) 2.72744i 0.115669i
\(557\) 7.16241i 0.303481i 0.988420 + 0.151741i \(0.0484878\pi\)
−0.988420 + 0.151741i \(0.951512\pi\)
\(558\) −9.44787 + 7.35638i −0.399960 + 0.311420i
\(559\) 1.76956 + 3.36526i 0.0748444 + 0.142335i
\(560\) −2.96981 + 1.19184i −0.125498 + 0.0503646i
\(561\) 10.6793 + 2.08499i 0.450879 + 0.0880285i
\(562\) 4.09263 7.08863i 0.172637 0.299016i
\(563\) 19.6837 + 34.0933i 0.829571 + 1.43686i 0.898375 + 0.439229i \(0.144748\pi\)
−0.0688039 + 0.997630i \(0.521918\pi\)
\(564\) 11.6737 4.00880i 0.491552 0.168801i
\(565\) 13.5977i 0.572061i
\(566\) 6.50177 11.2614i 0.273290 0.473351i
\(567\) 18.8462 14.5540i 0.791467 0.611212i
\(568\) −3.51507 + 6.08827i −0.147489 + 0.255458i
\(569\) −28.5546 16.4860i −1.19707 0.691129i −0.237170 0.971468i \(-0.576220\pi\)
−0.959901 + 0.280339i \(0.909553\pi\)
\(570\) −11.6251 10.1224i −0.486923 0.423983i
\(571\) 17.1019 29.6214i 0.715693 1.23962i −0.246999 0.969016i \(-0.579444\pi\)
0.962692 0.270600i \(-0.0872222\pi\)
\(572\) −0.170747 + 4.32046i −0.00713929 + 0.180648i
\(573\) 23.4349 26.9138i 0.979007 1.12434i
\(574\) 0.180218 + 0.449064i 0.00752216 + 0.0187436i
\(575\) 11.0897 6.40261i 0.462470 0.267007i
\(576\) −0.412611 2.97149i −0.0171921 0.123812i
\(577\) 30.4639 + 17.5883i 1.26823 + 0.732212i 0.974653 0.223723i \(-0.0718212\pi\)
0.293576 + 0.955936i \(0.405155\pi\)
\(578\) 9.04289 5.22092i 0.376135 0.217161i
\(579\) 10.4415 + 9.09182i 0.433934 + 0.377843i
\(580\) 2.00090i 0.0830829i
\(581\) −40.9253 + 16.4241i −1.69787 + 0.681388i
\(582\) 4.55650 23.3382i 0.188873 0.967400i
\(583\) 1.32633 2.29726i 0.0549308 0.0951429i
\(584\) 3.12307 5.40931i 0.129233 0.223839i
\(585\) 1.28623 + 13.0194i 0.0531793 + 0.538286i
\(586\) 16.9340 9.77684i 0.699537 0.403878i
\(587\) −14.3923 24.9281i −0.594032 1.02889i −0.993683 0.112226i \(-0.964202\pi\)
0.399650 0.916668i \(-0.369132\pi\)
\(588\) 6.54753 + 10.2044i 0.270016 + 0.420823i
\(589\) 14.6843 25.4340i 0.605056 1.04799i
\(590\) 11.7999 6.81270i 0.485796 0.280474i
\(591\) 24.3288 + 4.74991i 1.00075 + 0.195385i
\(592\) −4.50203 7.79774i −0.185032 0.320485i
\(593\) 12.0411 + 20.8558i 0.494469 + 0.856445i 0.999980 0.00637535i \(-0.00202935\pi\)
−0.505511 + 0.862820i \(0.668696\pi\)
\(594\) −2.81519 5.55913i −0.115508 0.228094i
\(595\) −2.37168 + 16.5948i −0.0972293 + 0.680320i
\(596\) 1.31022 0.756457i 0.0536688 0.0309857i
\(597\) 5.57830 + 1.08910i 0.228305 + 0.0445737i
\(598\) 13.0428 + 0.515460i 0.533362 + 0.0210787i
\(599\) −0.694359 0.400888i −0.0283707 0.0163798i 0.485748 0.874099i \(-0.338547\pi\)
−0.514118 + 0.857719i \(0.671881\pi\)
\(600\) −1.98979 5.79431i −0.0812328 0.236552i
\(601\) −12.0618 + 6.96387i −0.492010 + 0.284062i −0.725408 0.688319i \(-0.758349\pi\)
0.233398 + 0.972381i \(0.425016\pi\)
\(602\) 1.72282 2.19455i 0.0702168 0.0894433i
\(603\) 4.43338 + 31.9278i 0.180541 + 1.30020i
\(604\) 3.05059 0.124127
\(605\) −5.78256 10.0157i −0.235095 0.407196i
\(606\) −1.82840 5.32434i −0.0742737 0.216287i
\(607\) 5.64804i 0.229247i 0.993409 + 0.114623i \(0.0365661\pi\)
−0.993409 + 0.114623i \(0.963434\pi\)
\(608\) 3.67902 + 6.37226i 0.149204 + 0.258429i
\(609\) 7.44627 1.42304i 0.301738 0.0576645i
\(610\) −7.99630 −0.323761
\(611\) 25.6736 + 1.01464i 1.03864 + 0.0410478i
\(612\) −14.5614 5.91119i −0.588610 0.238946i
\(613\) 15.8467 0.640043 0.320022 0.947410i \(-0.396310\pi\)
0.320022 + 0.947410i \(0.396310\pi\)
\(614\) −13.8637 + 24.0126i −0.559493 + 0.969070i
\(615\) 0.362366 0.124438i 0.0146120 0.00501782i
\(616\) 2.94455 1.18171i 0.118639 0.0476123i
\(617\) −8.95185 5.16835i −0.360388 0.208070i 0.308863 0.951107i \(-0.400052\pi\)
−0.669251 + 0.743036i \(0.733385\pi\)
\(618\) 0.761513 + 0.663078i 0.0306325 + 0.0266729i
\(619\) −5.47367 3.16022i −0.220005 0.127020i 0.385947 0.922521i \(-0.373875\pi\)
−0.605953 + 0.795501i \(0.707208\pi\)
\(620\) −4.18079 + 2.41378i −0.167905 + 0.0969398i
\(621\) −16.7822 + 8.49864i −0.673447 + 0.341039i
\(622\) 6.62722 3.82623i 0.265727 0.153418i
\(623\) 2.69213 18.8371i 0.107858 0.754691i
\(624\) 1.43778 6.07724i 0.0575571 0.243284i
\(625\) −2.59830 4.50039i −0.103932 0.180016i
\(626\) −4.34687 −0.173736
\(627\) 11.5263 + 10.0364i 0.460314 + 0.400813i
\(628\) 2.66704i 0.106427i
\(629\) −47.1677 −1.88070
\(630\) 8.33300 4.76693i 0.331995 0.189919i
\(631\) 3.51416 6.08670i 0.139897 0.242308i −0.787561 0.616237i \(-0.788656\pi\)
0.927457 + 0.373929i \(0.121990\pi\)
\(632\) 3.86475 2.23131i 0.153731 0.0887568i
\(633\) −3.67018 + 18.7985i −0.145877 + 0.747174i
\(634\) −15.5731 −0.618486
\(635\) −6.52591 + 11.3032i −0.258973 + 0.448554i
\(636\) −2.51593 + 2.88942i −0.0997631 + 0.114573i
\(637\) 5.01883 + 24.7348i 0.198853 + 0.980029i
\(638\) 1.98388i 0.0785427i
\(639\) 7.93290 19.5416i 0.313821 0.773054i
\(640\) 1.20950i 0.0478098i
\(641\) 41.0657 23.7093i 1.62200 0.936461i 0.635613 0.772008i \(-0.280747\pi\)
0.986385 0.164453i \(-0.0525859\pi\)
\(642\) −3.14883 + 16.1282i −0.124274 + 0.636528i
\(643\) 16.3622 + 9.44671i 0.645261 + 0.372542i 0.786638 0.617414i \(-0.211820\pi\)
−0.141377 + 0.989956i \(0.545153\pi\)
\(644\) −3.56740 8.88918i −0.140575 0.350283i
\(645\) −1.66607 1.45071i −0.0656013 0.0571215i
\(646\) 38.5451 1.51654
\(647\) 21.4469 0.843165 0.421582 0.906790i \(-0.361475\pi\)
0.421582 + 0.906790i \(0.361475\pi\)
\(648\) 2.45214 + 8.65951i 0.0963290 + 0.340177i
\(649\) −11.6996 + 6.75475i −0.459249 + 0.265147i
\(650\) 0.503620 12.7433i 0.0197536 0.499832i
\(651\) 11.9562 + 13.8420i 0.468599 + 0.542509i
\(652\) −8.95954 15.5184i −0.350883 0.607747i
\(653\) 1.35464 + 0.782101i 0.0530111 + 0.0306060i 0.526271 0.850317i \(-0.323590\pi\)
−0.473260 + 0.880923i \(0.656923\pi\)
\(654\) −21.1899 4.13707i −0.828591 0.161772i
\(655\) −11.3986 + 19.7429i −0.445379 + 0.771419i
\(656\) −0.182888 −0.00714059
\(657\) −7.04822 + 17.3623i −0.274977 + 0.677368i
\(658\) −7.02210 17.4975i −0.273750 0.682125i
\(659\) 5.73747 + 3.31253i 0.223500 + 0.129038i 0.607570 0.794266i \(-0.292144\pi\)
−0.384070 + 0.923304i \(0.625478\pi\)
\(660\) −0.815950 2.37607i −0.0317608 0.0924882i
\(661\) 23.7415i 0.923439i −0.887026 0.461719i \(-0.847233\pi\)
0.887026 0.461719i \(-0.152767\pi\)
\(662\) 13.5898 + 7.84608i 0.528183 + 0.304947i
\(663\) −23.8045 22.4405i −0.924491 0.871517i
\(664\) 16.6675i 0.646824i
\(665\) −14.5396 + 18.5208i −0.563821 + 0.718204i
\(666\) 16.5952 + 21.3133i 0.643049 + 0.825874i
\(667\) −5.98906 −0.231897
\(668\) −9.94539 + 17.2259i −0.384799 + 0.666491i
\(669\) −20.7873 4.05847i −0.803685 0.156910i
\(670\) 12.9958i 0.502070i
\(671\) 7.92829 0.306068
\(672\) −4.50112 + 0.860198i −0.173634 + 0.0331829i
\(673\) 9.99916 + 17.3191i 0.385439 + 0.667601i 0.991830 0.127566i \(-0.0407166\pi\)
−0.606391 + 0.795167i \(0.707383\pi\)
\(674\) −0.217541 0.125598i −0.00837938 0.00483784i
\(675\) 8.30343 + 16.3967i 0.319599 + 0.631110i
\(676\) 7.36821 10.7103i 0.283393 0.411933i
\(677\) 8.62455 + 14.9382i 0.331469 + 0.574120i 0.982800 0.184673i \(-0.0591226\pi\)
−0.651332 + 0.758793i \(0.725789\pi\)
\(678\) −3.73131 + 19.1116i −0.143300 + 0.733977i
\(679\) −35.9574 5.13892i −1.37992 0.197214i
\(680\) −5.48712 3.16799i −0.210421 0.121487i
\(681\) −9.62864 + 49.3175i −0.368970 + 1.88985i
\(682\) 4.14523 2.39325i 0.158729 0.0916423i
\(683\) −8.54591 + 4.93398i −0.327000 + 0.188794i −0.654508 0.756055i \(-0.727124\pi\)
0.327508 + 0.944848i \(0.393791\pi\)
\(684\) −13.5614 17.4171i −0.518535 0.665959i
\(685\) −11.1942 6.46300i −0.427710 0.246938i
\(686\) 15.0589 10.7810i 0.574952 0.411619i
\(687\) 47.1252 + 9.20062i 1.79794 + 0.351026i
\(688\) 0.527263 + 0.913245i 0.0201017 + 0.0348172i
\(689\) −7.05902 + 3.71186i −0.268927 + 0.141410i
\(690\) −7.17300 + 2.46324i −0.273071 + 0.0937738i
\(691\) −41.3606 23.8795i −1.57343 0.908420i −0.995744 0.0921613i \(-0.970622\pi\)
−0.577686 0.816259i \(-0.696044\pi\)
\(692\) 8.77428 + 15.1975i 0.333548 + 0.577722i
\(693\) −8.26213 + 4.72638i −0.313852 + 0.179540i
\(694\) −21.2631 −0.807136
\(695\) 3.29885i 0.125133i
\(696\) −0.549060 + 2.81226i −0.0208121 + 0.106599i
\(697\) −0.479030 + 0.829704i −0.0181445 + 0.0314273i
\(698\) 3.85594 0.145949
\(699\) 5.99853 + 1.17114i 0.226885 + 0.0442966i
\(700\) −8.68500 + 3.48546i −0.328262 + 0.131738i
\(701\) 27.3612i 1.03342i −0.856161 0.516709i \(-0.827157\pi\)
0.856161 0.516709i \(-0.172843\pi\)
\(702\) −1.76480 + 18.6517i −0.0666082 + 0.703963i
\(703\) −57.3761 33.1261i −2.16398 1.24938i
\(704\) 1.19922i 0.0451971i
\(705\) −14.1194 + 4.84865i −0.531767 + 0.182611i
\(706\) −7.54643 4.35693i −0.284014 0.163975i
\(707\) −7.98058 + 3.20276i −0.300140 + 0.120452i
\(708\) 18.4542 6.33726i 0.693553 0.238169i
\(709\) 11.6657 0.438116 0.219058 0.975712i \(-0.429702\pi\)
0.219058 + 0.975712i \(0.429702\pi\)
\(710\) 4.25148 7.36379i 0.159555 0.276358i
\(711\) −10.5634 + 8.22496i −0.396158 + 0.308460i
\(712\) 6.22852 + 3.59604i 0.233424 + 0.134767i
\(713\) −7.22488 12.5139i −0.270574 0.468647i
\(714\) −7.88710 + 22.6732i −0.295167 + 0.848522i
\(715\) 0.206519 5.22561i 0.00772337 0.195427i
\(716\) −19.9172 + 11.4992i −0.744340 + 0.429745i
\(717\) −8.58074 + 9.85456i −0.320454 + 0.368025i
\(718\) 20.5146 0.765599
\(719\) 13.5634 0.505829 0.252914 0.967489i \(-0.418611\pi\)
0.252914 + 0.967489i \(0.418611\pi\)
\(720\) 0.499054 + 3.59403i 0.0185986 + 0.133941i
\(721\) 0.952427 1.21322i 0.0354702 0.0451825i
\(722\) 30.4329 + 17.5704i 1.13260 + 0.653904i
\(723\) −20.9678 4.09371i −0.779801 0.152247i
\(724\) −6.48871 + 3.74626i −0.241151 + 0.139229i
\(725\) 5.85149i 0.217319i
\(726\) −5.37901 15.6638i −0.199634 0.581339i
\(727\) 22.4921i 0.834186i −0.908864 0.417093i \(-0.863049\pi\)
0.908864 0.417093i \(-0.136951\pi\)
\(728\) −9.38277 1.72149i −0.347749 0.0638028i
\(729\) −10.8595 24.7199i −0.402204 0.915550i
\(730\) −3.77736 + 6.54258i −0.139806 + 0.242152i
\(731\) 5.52412 0.204317
\(732\) −11.2388 2.19424i −0.415398 0.0811013i
\(733\) −5.25647 + 3.03483i −0.194152 + 0.112094i −0.593925 0.804520i \(-0.702422\pi\)
0.399773 + 0.916614i \(0.369089\pi\)
\(734\) −11.9372 + 20.6758i −0.440608 + 0.763156i
\(735\) −7.91926 12.3423i −0.292106 0.455251i
\(736\) 3.62026 0.133445
\(737\) 12.8852i 0.474634i
\(738\) 0.543451 0.0754617i 0.0200047 0.00277778i
\(739\) −41.5994 −1.53026 −0.765129 0.643877i \(-0.777325\pi\)
−0.765129 + 0.643877i \(0.777325\pi\)
\(740\) 5.44521 + 9.43139i 0.200170 + 0.346705i
\(741\) −13.1964 44.0153i −0.484783 1.61694i
\(742\) 4.60333 + 3.61381i 0.168993 + 0.132667i
\(743\) 47.1331 27.2123i 1.72914 0.998322i 0.835622 0.549305i \(-0.185107\pi\)
0.893523 0.449017i \(-0.148226\pi\)
\(744\) −6.53845 + 2.24533i −0.239711 + 0.0823178i
\(745\) −1.58472 + 0.914937i −0.0580596 + 0.0335207i
\(746\) −2.65092 1.53051i −0.0970570 0.0560359i
\(747\) 6.87718 + 49.5273i 0.251623 + 1.81211i
\(748\) 5.44045 + 3.14104i 0.198922 + 0.114848i
\(749\) 24.8489 + 3.55132i 0.907957 + 0.129762i
\(750\) 5.80867 + 16.9150i 0.212103 + 0.617648i
\(751\) 2.92540 5.06695i 0.106749 0.184896i −0.807702 0.589591i \(-0.799289\pi\)
0.914452 + 0.404695i \(0.132622\pi\)
\(752\) 7.12615 0.259864
\(753\) 16.6406 5.71446i 0.606418 0.208246i
\(754\) −3.18402 + 5.04380i −0.115955 + 0.183684i
\(755\) −3.68970 −0.134282
\(756\) 13.0201 4.41328i 0.473536 0.160509i
\(757\) 1.38330 + 2.39594i 0.0502768 + 0.0870820i 0.890069 0.455827i \(-0.150656\pi\)
−0.839792 + 0.542909i \(0.817323\pi\)
\(758\) 17.4923i 0.635348i
\(759\) 7.11199 2.44228i 0.258149 0.0886493i
\(760\) −4.44979 7.70727i −0.161411 0.279572i
\(761\) −50.7252 −1.83879 −0.919393 0.393341i \(-0.871319\pi\)
−0.919393 + 0.393341i \(0.871319\pi\)
\(762\) −12.2738 + 14.0959i −0.444634 + 0.510641i
\(763\) −4.66588 + 32.6475i −0.168916 + 1.18192i
\(764\) 17.8434 10.3019i 0.645552 0.372710i
\(765\) 17.6121 + 7.14960i 0.636765 + 0.258494i
\(766\) 24.6602 + 14.2376i 0.891009 + 0.514425i
\(767\) 40.5859 + 1.60398i 1.46547 + 0.0579162i
\(768\) 0.331895 1.69995i 0.0119762 0.0613418i
\(769\) −6.29042 + 3.63178i −0.226838 + 0.130965i −0.609113 0.793084i \(-0.708474\pi\)
0.382274 + 0.924049i \(0.375141\pi\)
\(770\) −3.56145 + 1.42928i −0.128346 + 0.0515076i
\(771\) −22.4054 + 7.69409i −0.806910 + 0.277096i
\(772\) 3.99673 + 6.92254i 0.143845 + 0.249148i
\(773\) −20.0043 34.6484i −0.719504 1.24622i −0.961197 0.275864i \(-0.911036\pi\)
0.241693 0.970353i \(-0.422297\pi\)
\(774\) −1.94357 2.49615i −0.0698602 0.0897221i
\(775\) −12.2264 + 7.05892i −0.439186 + 0.253564i
\(776\) 6.86436