Properties

Label 731.2.k.a.35.13
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.13
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.160022 + 0.701103i) q^{2} +(0.119356 + 0.522931i) q^{3} +(1.33600 + 0.643383i) q^{4} +(-0.180888 + 0.226826i) q^{5} -0.385728 q^{6} -0.492965 q^{7} +(-1.56161 + 1.95820i) q^{8} +(2.44370 - 1.17682i) q^{9} +O(q^{10})\) \(q+(-0.160022 + 0.701103i) q^{2} +(0.119356 + 0.522931i) q^{3} +(1.33600 + 0.643383i) q^{4} +(-0.180888 + 0.226826i) q^{5} -0.385728 q^{6} -0.492965 q^{7} +(-1.56161 + 1.95820i) q^{8} +(2.44370 - 1.17682i) q^{9} +(-0.130083 - 0.163118i) q^{10} +(4.96820 - 2.39256i) q^{11} +(-0.176986 + 0.775427i) q^{12} +(3.72800 - 4.67477i) q^{13} +(0.0788854 - 0.345620i) q^{14} +(-0.140204 - 0.0675189i) q^{15} +(0.726072 + 0.910465i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.434028 + 1.90160i) q^{18} +(-4.05881 - 1.95462i) q^{19} +(-0.387602 + 0.186659i) q^{20} +(-0.0588382 - 0.257787i) q^{21} +(0.882409 + 3.86608i) q^{22} +(0.664616 - 0.320062i) q^{23} +(-1.21039 - 0.582894i) q^{24} +(1.09387 + 4.79258i) q^{25} +(2.68093 + 3.36178i) q^{26} +(1.91035 + 2.39550i) q^{27} +(-0.658601 - 0.317166i) q^{28} +(-0.712761 + 3.12281i) q^{29} +(0.0697736 - 0.0874933i) q^{30} +(-0.242388 + 1.06197i) q^{31} +(-5.26771 + 2.53680i) q^{32} +(1.84413 + 2.31246i) q^{33} +(-0.647917 + 0.312020i) q^{34} +(0.0891714 - 0.111817i) q^{35} +4.02192 q^{36} -7.55722 q^{37} +(2.01989 - 2.53286i) q^{38} +(2.88954 + 1.39153i) q^{39} +(-0.161694 - 0.708429i) q^{40} +(-1.83204 + 8.02670i) q^{41} +0.190151 q^{42} +(3.38360 - 5.61705i) q^{43} +8.17684 q^{44} +(-0.175101 + 0.767167i) q^{45} +(0.118043 + 0.517181i) q^{46} +(-0.283805 - 0.136673i) q^{47} +(-0.389450 + 0.488355i) q^{48} -6.75699 q^{49} -3.53514 q^{50} +(-0.334427 + 0.419358i) q^{51} +(7.98828 - 3.84695i) q^{52} +(-1.11831 - 1.40231i) q^{53} +(-1.98519 + 0.956017i) q^{54} +(-0.355992 + 1.55970i) q^{55} +(0.769821 - 0.965325i) q^{56} +(0.537690 - 2.35577i) q^{57} +(-2.07535 - 0.999438i) q^{58} +(-5.74421 - 7.20301i) q^{59} +(-0.143872 - 0.180410i) q^{60} +(-0.991234 - 4.34288i) q^{61} +(-0.705764 - 0.339878i) q^{62} +(-1.20466 + 0.580132i) q^{63} +(-0.417341 - 1.82849i) q^{64} +(0.386010 + 1.69122i) q^{65} +(-1.91638 + 0.922878i) q^{66} +(-7.56704 - 3.64410i) q^{67} +(0.329964 + 1.44567i) q^{68} +(0.246696 + 0.309347i) q^{69} +(0.0641262 + 0.0804117i) q^{70} +(12.3613 + 5.95287i) q^{71} +(-1.51165 + 6.62298i) q^{72} +(-2.17710 + 2.72999i) q^{73} +(1.20932 - 5.29839i) q^{74} +(-2.37563 + 1.14404i) q^{75} +(-4.16500 - 5.22274i) q^{76} +(-2.44915 + 1.17945i) q^{77} +(-1.43800 + 1.80319i) q^{78} +14.5104 q^{79} -0.337855 q^{80} +(4.04860 - 5.07678i) q^{81} +(-5.33438 - 2.56890i) q^{82} +(3.07128 + 13.4562i) q^{83} +(0.0872480 - 0.382258i) q^{84} -0.290122 q^{85} +(3.39668 + 3.27111i) q^{86} -1.71809 q^{87} +(-3.07329 + 13.4650i) q^{88} +(2.63557 + 11.5472i) q^{89} +(-0.509843 - 0.245528i) q^{90} +(-1.83778 + 2.30450i) q^{91} +1.09385 q^{92} -0.584268 q^{93} +(0.141237 - 0.177106i) q^{94} +(1.17755 - 0.567077i) q^{95} +(-1.95530 - 2.45187i) q^{96} +(-9.81356 + 4.72596i) q^{97} +(1.08127 - 4.73735i) q^{98} +(9.32515 - 11.6934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.160022 + 0.701103i −0.113153 + 0.495755i 0.886313 + 0.463086i \(0.153258\pi\)
−0.999466 + 0.0326690i \(0.989599\pi\)
\(3\) 0.119356 + 0.522931i 0.0689100 + 0.301914i 0.997625 0.0688801i \(-0.0219426\pi\)
−0.928715 + 0.370794i \(0.879085\pi\)
\(4\) 1.33600 + 0.643383i 0.667999 + 0.321692i
\(5\) −0.180888 + 0.226826i −0.0808955 + 0.101440i −0.820632 0.571457i \(-0.806379\pi\)
0.739737 + 0.672896i \(0.234950\pi\)
\(6\) −0.385728 −0.157473
\(7\) −0.492965 −0.186323 −0.0931617 0.995651i \(-0.529697\pi\)
−0.0931617 + 0.995651i \(0.529697\pi\)
\(8\) −1.56161 + 1.95820i −0.552113 + 0.692328i
\(9\) 2.44370 1.17682i 0.814565 0.392274i
\(10\) −0.130083 0.163118i −0.0411357 0.0515826i
\(11\) 4.96820 2.39256i 1.49797 0.721384i 0.507828 0.861459i \(-0.330449\pi\)
0.990141 + 0.140075i \(0.0447344\pi\)
\(12\) −0.176986 + 0.775427i −0.0510915 + 0.223846i
\(13\) 3.72800 4.67477i 1.03396 1.29655i 0.0799443 0.996799i \(-0.474526\pi\)
0.954018 0.299749i \(-0.0969028\pi\)
\(14\) 0.0788854 0.345620i 0.0210830 0.0923707i
\(15\) −0.140204 0.0675189i −0.0362006 0.0174333i
\(16\) 0.726072 + 0.910465i 0.181518 + 0.227616i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 0.434028 + 1.90160i 0.102301 + 0.448212i
\(19\) −4.05881 1.95462i −0.931155 0.448421i −0.0941144 0.995561i \(-0.530002\pi\)
−0.837041 + 0.547141i \(0.815716\pi\)
\(20\) −0.387602 + 0.186659i −0.0866705 + 0.0417383i
\(21\) −0.0588382 0.257787i −0.0128395 0.0562537i
\(22\) 0.882409 + 3.86608i 0.188130 + 0.824252i
\(23\) 0.664616 0.320062i 0.138582 0.0667375i −0.363308 0.931669i \(-0.618353\pi\)
0.501890 + 0.864932i \(0.332638\pi\)
\(24\) −1.21039 0.582894i −0.247070 0.118983i
\(25\) 1.09387 + 4.79258i 0.218775 + 0.958516i
\(26\) 2.68093 + 3.36178i 0.525774 + 0.659300i
\(27\) 1.91035 + 2.39550i 0.367646 + 0.461014i
\(28\) −0.658601 0.317166i −0.124464 0.0599387i
\(29\) −0.712761 + 3.12281i −0.132356 + 0.579891i 0.864637 + 0.502398i \(0.167549\pi\)
−0.996993 + 0.0774931i \(0.975308\pi\)
\(30\) 0.0697736 0.0874933i 0.0127389 0.0159740i
\(31\) −0.242388 + 1.06197i −0.0435342 + 0.190736i −0.992019 0.126086i \(-0.959758\pi\)
0.948485 + 0.316822i \(0.102616\pi\)
\(32\) −5.26771 + 2.53680i −0.931208 + 0.448446i
\(33\) 1.84413 + 2.31246i 0.321021 + 0.402548i
\(34\) −0.647917 + 0.312020i −0.111117 + 0.0535111i
\(35\) 0.0891714 0.111817i 0.0150727 0.0189006i
\(36\) 4.02192 0.670320
\(37\) −7.55722 −1.24240 −0.621199 0.783653i \(-0.713354\pi\)
−0.621199 + 0.783653i \(0.713354\pi\)
\(38\) 2.01989 2.53286i 0.327670 0.410885i
\(39\) 2.88954 + 1.39153i 0.462697 + 0.222823i
\(40\) −0.161694 0.708429i −0.0255661 0.112013i
\(41\) −1.83204 + 8.02670i −0.286117 + 1.25356i 0.603689 + 0.797220i \(0.293697\pi\)
−0.889806 + 0.456340i \(0.849160\pi\)
\(42\) 0.190151 0.0293409
\(43\) 3.38360 5.61705i 0.515995 0.856592i
\(44\) 8.17684 1.23271
\(45\) −0.175101 + 0.767167i −0.0261025 + 0.114362i
\(46\) 0.118043 + 0.517181i 0.0174045 + 0.0762542i
\(47\) −0.283805 0.136673i −0.0413973 0.0199359i 0.413071 0.910699i \(-0.364456\pi\)
−0.454468 + 0.890763i \(0.650171\pi\)
\(48\) −0.389450 + 0.488355i −0.0562122 + 0.0704879i
\(49\) −6.75699 −0.965284
\(50\) −3.53514 −0.499944
\(51\) −0.334427 + 0.419358i −0.0468291 + 0.0587219i
\(52\) 7.98828 3.84695i 1.10777 0.533476i
\(53\) −1.11831 1.40231i −0.153611 0.192623i 0.699071 0.715052i \(-0.253597\pi\)
−0.852682 + 0.522430i \(0.825026\pi\)
\(54\) −1.98519 + 0.956017i −0.270150 + 0.130097i
\(55\) −0.355992 + 1.55970i −0.0480020 + 0.210310i
\(56\) 0.769821 0.965325i 0.102872 0.128997i
\(57\) 0.537690 2.35577i 0.0712187 0.312030i
\(58\) −2.07535 0.999438i −0.272507 0.131233i
\(59\) −5.74421 7.20301i −0.747832 0.937752i 0.251716 0.967801i \(-0.419005\pi\)
−0.999548 + 0.0300490i \(0.990434\pi\)
\(60\) −0.143872 0.180410i −0.0185739 0.0232909i
\(61\) −0.991234 4.34288i −0.126915 0.556049i −0.997902 0.0647435i \(-0.979377\pi\)
0.870987 0.491305i \(-0.163480\pi\)
\(62\) −0.705764 0.339878i −0.0896321 0.0431646i
\(63\) −1.20466 + 0.580132i −0.151773 + 0.0730898i
\(64\) −0.417341 1.82849i −0.0521676 0.228561i
\(65\) 0.386010 + 1.69122i 0.0478786 + 0.209770i
\(66\) −1.91638 + 0.922878i −0.235889 + 0.113598i
\(67\) −7.56704 3.64410i −0.924461 0.445197i −0.0897995 0.995960i \(-0.528623\pi\)
−0.834662 + 0.550763i \(0.814337\pi\)
\(68\) 0.329964 + 1.44567i 0.0400141 + 0.175313i
\(69\) 0.246696 + 0.309347i 0.0296987 + 0.0372410i
\(70\) 0.0641262 + 0.0804117i 0.00766455 + 0.00961104i
\(71\) 12.3613 + 5.95287i 1.46701 + 0.706476i 0.985455 0.169939i \(-0.0543571\pi\)
0.481557 + 0.876415i \(0.340071\pi\)
\(72\) −1.51165 + 6.62298i −0.178150 + 0.780526i
\(73\) −2.17710 + 2.72999i −0.254810 + 0.319521i −0.892739 0.450573i \(-0.851220\pi\)
0.637930 + 0.770095i \(0.279791\pi\)
\(74\) 1.20932 5.29839i 0.140581 0.615925i
\(75\) −2.37563 + 1.14404i −0.274314 + 0.132103i
\(76\) −4.16500 5.22274i −0.477758 0.599089i
\(77\) −2.44915 + 1.17945i −0.279107 + 0.134411i
\(78\) −1.43800 + 1.80319i −0.162821 + 0.204171i
\(79\) 14.5104 1.63254 0.816272 0.577668i \(-0.196037\pi\)
0.816272 + 0.577668i \(0.196037\pi\)
\(80\) −0.337855 −0.0377733
\(81\) 4.04860 5.07678i 0.449844 0.564087i
\(82\) −5.33438 2.56890i −0.589084 0.283688i
\(83\) 3.07128 + 13.4562i 0.337117 + 1.47700i 0.805032 + 0.593231i \(0.202148\pi\)
−0.467915 + 0.883773i \(0.654995\pi\)
\(84\) 0.0872480 0.382258i 0.00951954 0.0417078i
\(85\) −0.290122 −0.0314681
\(86\) 3.39668 + 3.27111i 0.366273 + 0.352733i
\(87\) −1.71809 −0.184198
\(88\) −3.07329 + 13.4650i −0.327614 + 1.43537i
\(89\) 2.63557 + 11.5472i 0.279370 + 1.22400i 0.898592 + 0.438785i \(0.144591\pi\)
−0.619222 + 0.785216i \(0.712552\pi\)
\(90\) −0.509843 0.245528i −0.0537422 0.0258809i
\(91\) −1.83778 + 2.30450i −0.192651 + 0.241577i
\(92\) 1.09385 0.114042
\(93\) −0.584268 −0.0605858
\(94\) 0.141237 0.177106i 0.0145675 0.0182671i
\(95\) 1.17755 0.567077i 0.120814 0.0581809i
\(96\) −1.95530 2.45187i −0.199562 0.250243i
\(97\) −9.81356 + 4.72596i −0.996416 + 0.479849i −0.859721 0.510765i \(-0.829362\pi\)
−0.136695 + 0.990613i \(0.543648\pi\)
\(98\) 1.08127 4.73735i 0.109225 0.478544i
\(99\) 9.32515 11.6934i 0.937213 1.17523i
\(100\) −1.62205 + 7.10666i −0.162205 + 0.710666i
\(101\) −2.04165 0.983207i −0.203152 0.0978327i 0.329542 0.944141i \(-0.393106\pi\)
−0.532693 + 0.846308i \(0.678820\pi\)
\(102\) −0.240498 0.301575i −0.0238128 0.0298603i
\(103\) −6.82601 8.55954i −0.672587 0.843397i 0.322061 0.946719i \(-0.395624\pi\)
−0.994648 + 0.103322i \(0.967053\pi\)
\(104\) 3.33244 + 14.6004i 0.326772 + 1.43168i
\(105\) 0.0691159 + 0.0332845i 0.00674502 + 0.00324823i
\(106\) 1.16212 0.559648i 0.112875 0.0543578i
\(107\) −0.361111 1.58213i −0.0349099 0.152950i 0.954469 0.298310i \(-0.0964231\pi\)
−0.989379 + 0.145360i \(0.953566\pi\)
\(108\) 1.01100 + 4.42947i 0.0972832 + 0.426226i
\(109\) −2.13757 + 1.02940i −0.204742 + 0.0985987i −0.533445 0.845835i \(-0.679103\pi\)
0.328703 + 0.944433i \(0.393389\pi\)
\(110\) −1.03655 0.499174i −0.0988308 0.0475944i
\(111\) −0.901996 3.95190i −0.0856137 0.375098i
\(112\) −0.357928 0.448828i −0.0338210 0.0424102i
\(113\) −6.66459 8.35713i −0.626952 0.786173i 0.362352 0.932041i \(-0.381974\pi\)
−0.989304 + 0.145869i \(0.953402\pi\)
\(114\) 1.56560 + 0.753952i 0.146632 + 0.0706141i
\(115\) −0.0476224 + 0.208648i −0.00444082 + 0.0194565i
\(116\) −2.96141 + 3.71349i −0.274960 + 0.344789i
\(117\) 3.60874 15.8109i 0.333628 1.46172i
\(118\) 5.96926 2.87464i 0.549515 0.264632i
\(119\) −0.307359 0.385416i −0.0281755 0.0353310i
\(120\) 0.351161 0.169110i 0.0320564 0.0154376i
\(121\) 12.1003 15.1733i 1.10003 1.37939i
\(122\) 3.20343 0.290025
\(123\) −4.41608 −0.398184
\(124\) −1.00708 + 1.26284i −0.0904388 + 0.113407i
\(125\) −2.59190 1.24820i −0.231827 0.111642i
\(126\) −0.213961 0.937423i −0.0190611 0.0835123i
\(127\) 0.535265 2.34515i 0.0474971 0.208098i −0.945611 0.325299i \(-0.894535\pi\)
0.993108 + 0.117201i \(0.0373921\pi\)
\(128\) −10.3447 −0.914350
\(129\) 3.34118 + 1.09896i 0.294175 + 0.0967584i
\(130\) −1.24749 −0.109412
\(131\) 0.312581 1.36951i 0.0273104 0.119654i −0.959435 0.281929i \(-0.909026\pi\)
0.986746 + 0.162274i \(0.0518829\pi\)
\(132\) 0.975952 + 4.27592i 0.0849457 + 0.372171i
\(133\) 2.00085 + 0.963560i 0.173496 + 0.0835512i
\(134\) 3.76578 4.72214i 0.325314 0.407931i
\(135\) −0.888920 −0.0765061
\(136\) −2.50463 −0.214770
\(137\) −2.91112 + 3.65043i −0.248714 + 0.311877i −0.890479 0.455024i \(-0.849631\pi\)
0.641766 + 0.766901i \(0.278202\pi\)
\(138\) −0.256361 + 0.123457i −0.0218229 + 0.0105094i
\(139\) 1.15684 + 1.45064i 0.0981222 + 0.123041i 0.828468 0.560036i \(-0.189213\pi\)
−0.730346 + 0.683077i \(0.760641\pi\)
\(140\) 0.191074 0.0920166i 0.0161487 0.00777682i
\(141\) 0.0375970 0.164723i 0.00316624 0.0138722i
\(142\) −6.15165 + 7.71393i −0.516235 + 0.647339i
\(143\) 7.33681 32.1447i 0.613535 2.68807i
\(144\) 2.84575 + 1.37044i 0.237146 + 0.114204i
\(145\) −0.579405 0.726551i −0.0481170 0.0603368i
\(146\) −1.56562 1.96323i −0.129572 0.162478i
\(147\) −0.806484 3.53344i −0.0665177 0.291433i
\(148\) −10.0964 4.86219i −0.829922 0.399669i
\(149\) 19.6670 9.47113i 1.61118 0.775905i 0.611304 0.791396i \(-0.290645\pi\)
0.999880 + 0.0154903i \(0.00493092\pi\)
\(150\) −0.421939 1.84863i −0.0344511 0.150940i
\(151\) −3.02668 13.2608i −0.246308 1.07914i −0.935155 0.354238i \(-0.884740\pi\)
0.688847 0.724906i \(-0.258117\pi\)
\(152\) 10.1658 4.89560i 0.824557 0.397086i
\(153\) 2.44370 + 1.17682i 0.197561 + 0.0951404i
\(154\) −0.434997 1.90585i −0.0350530 0.153577i
\(155\) −0.197038 0.247078i −0.0158265 0.0198458i
\(156\) 2.96514 + 3.71816i 0.237401 + 0.297691i
\(157\) −21.5634 10.3844i −1.72095 0.828764i −0.989092 0.147302i \(-0.952941\pi\)
−0.731854 0.681462i \(-0.761345\pi\)
\(158\) −2.32198 + 10.1733i −0.184727 + 0.809341i
\(159\) 0.599837 0.752172i 0.0475702 0.0596511i
\(160\) 0.377453 1.65373i 0.0298403 0.130739i
\(161\) −0.327632 + 0.157779i −0.0258211 + 0.0124348i
\(162\) 2.91148 + 3.65089i 0.228748 + 0.286841i
\(163\) −19.7378 + 9.50523i −1.54599 + 0.744507i −0.995888 0.0905933i \(-0.971124\pi\)
−0.550097 + 0.835101i \(0.685409\pi\)
\(164\) −7.61185 + 9.54496i −0.594386 + 0.745336i
\(165\) −0.858107 −0.0668035
\(166\) −9.92563 −0.770378
\(167\) −4.14114 + 5.19283i −0.320451 + 0.401833i −0.915800 0.401634i \(-0.868442\pi\)
0.595349 + 0.803467i \(0.297014\pi\)
\(168\) 0.596681 + 0.287346i 0.0460349 + 0.0221693i
\(169\) −5.06268 22.1811i −0.389437 1.70624i
\(170\) 0.0464259 0.203405i 0.00356071 0.0156005i
\(171\) −12.2187 −0.934390
\(172\) 8.13440 5.32742i 0.620242 0.406212i
\(173\) −2.62117 −0.199284 −0.0996419 0.995023i \(-0.531770\pi\)
−0.0996419 + 0.995023i \(0.531770\pi\)
\(174\) 0.274932 1.20456i 0.0208425 0.0913171i
\(175\) −0.539242 2.36258i −0.0407629 0.178594i
\(176\) 5.78561 + 2.78620i 0.436107 + 0.210018i
\(177\) 3.08107 3.86355i 0.231588 0.290402i
\(178\) −8.51754 −0.638416
\(179\) 1.60003 0.119592 0.0597959 0.998211i \(-0.480955\pi\)
0.0597959 + 0.998211i \(0.480955\pi\)
\(180\) −0.727517 + 0.912277i −0.0542259 + 0.0679971i
\(181\) 11.4804 5.52866i 0.853330 0.410942i 0.0445174 0.999009i \(-0.485825\pi\)
0.808813 + 0.588067i \(0.200111\pi\)
\(182\) −1.32161 1.65724i −0.0979641 0.122843i
\(183\) 2.15272 1.03669i 0.159133 0.0766346i
\(184\) −0.411127 + 1.80126i −0.0303087 + 0.132791i
\(185\) 1.36701 1.71417i 0.100504 0.126029i
\(186\) 0.0934959 0.409632i 0.00685545 0.0300357i
\(187\) 4.96820 + 2.39256i 0.363311 + 0.174961i
\(188\) −0.291230 0.365191i −0.0212401 0.0266343i
\(189\) −0.941734 1.18090i −0.0685011 0.0858977i
\(190\) 0.209146 + 0.916328i 0.0151730 + 0.0664774i
\(191\) −5.12274 2.46698i −0.370668 0.178504i 0.239271 0.970953i \(-0.423092\pi\)
−0.609939 + 0.792449i \(0.708806\pi\)
\(192\) 0.906362 0.436481i 0.0654111 0.0315003i
\(193\) 2.69825 + 11.8218i 0.194224 + 0.850952i 0.974298 + 0.225264i \(0.0723245\pi\)
−0.780074 + 0.625688i \(0.784818\pi\)
\(194\) −1.74300 7.63658i −0.125140 0.548274i
\(195\) −0.838318 + 0.403713i −0.0600332 + 0.0289105i
\(196\) −9.02732 4.34733i −0.644809 0.310524i
\(197\) 2.30809 + 10.1124i 0.164445 + 0.720479i 0.988154 + 0.153467i \(0.0490438\pi\)
−0.823709 + 0.567013i \(0.808099\pi\)
\(198\) 6.70603 + 8.40910i 0.476577 + 0.597608i
\(199\) −4.44983 5.57991i −0.315440 0.395550i 0.598683 0.800986i \(-0.295691\pi\)
−0.914123 + 0.405437i \(0.867120\pi\)
\(200\) −11.0930 5.34213i −0.784396 0.377745i
\(201\) 1.00244 4.39198i 0.0707068 0.309787i
\(202\) 1.01604 1.27407i 0.0714883 0.0896434i
\(203\) 0.351366 1.53944i 0.0246611 0.108047i
\(204\) −0.716602 + 0.345097i −0.0501722 + 0.0241616i
\(205\) −1.48927 1.86749i −0.104015 0.130431i
\(206\) 7.09344 3.41602i 0.494223 0.238005i
\(207\) 1.24746 1.56427i 0.0867046 0.108724i
\(208\) 6.96301 0.482798
\(209\) −24.8415 −1.71832
\(210\) −0.0343960 + 0.0431312i −0.00237355 + 0.00297633i
\(211\) 17.0233 + 8.19798i 1.17193 + 0.564372i 0.915550 0.402203i \(-0.131756\pi\)
0.256381 + 0.966576i \(0.417470\pi\)
\(212\) −0.591833 2.59299i −0.0406473 0.178087i
\(213\) −1.63755 + 7.17460i −0.112203 + 0.491595i
\(214\) 1.16702 0.0797760
\(215\) 0.662041 + 1.78355i 0.0451508 + 0.121637i
\(216\) −7.67409 −0.522155
\(217\) 0.119489 0.523515i 0.00811143 0.0355385i
\(218\) −0.379657 1.66339i −0.0257136 0.112659i
\(219\) −1.68745 0.812631i −0.114027 0.0549125i
\(220\) −1.47909 + 1.85472i −0.0997203 + 0.125045i
\(221\) 5.97926 0.402208
\(222\) 2.91503 0.195644
\(223\) −0.481565 + 0.603863i −0.0322480 + 0.0404377i −0.797694 0.603062i \(-0.793947\pi\)
0.765446 + 0.643500i \(0.222518\pi\)
\(224\) 2.59680 1.25055i 0.173506 0.0835560i
\(225\) 8.31311 + 10.4243i 0.554207 + 0.694954i
\(226\) 6.92569 3.33524i 0.460690 0.221857i
\(227\) 4.21287 18.4578i 0.279618 1.22509i −0.618660 0.785659i \(-0.712324\pi\)
0.898278 0.439428i \(-0.144819\pi\)
\(228\) 2.23402 2.80137i 0.147951 0.185525i
\(229\) 1.78320 7.81273i 0.117837 0.516279i −0.881213 0.472719i \(-0.843273\pi\)
0.999051 0.0435607i \(-0.0138702\pi\)
\(230\) −0.138663 0.0667765i −0.00914316 0.00440311i
\(231\) −0.909090 1.13996i −0.0598137 0.0750041i
\(232\) −5.00203 6.27234i −0.328399 0.411800i
\(233\) 6.17245 + 27.0433i 0.404370 + 1.77166i 0.609355 + 0.792897i \(0.291428\pi\)
−0.204985 + 0.978765i \(0.565714\pi\)
\(234\) 10.5076 + 5.06020i 0.686904 + 0.330795i
\(235\) 0.0823381 0.0396519i 0.00537114 0.00258661i
\(236\) −3.03996 13.3189i −0.197885 0.866989i
\(237\) 1.73189 + 7.58792i 0.112499 + 0.492888i
\(238\) 0.319401 0.153815i 0.0207037 0.00997036i
\(239\) 11.1960 + 5.39173i 0.724212 + 0.348762i 0.759405 0.650618i \(-0.225490\pi\)
−0.0351929 + 0.999381i \(0.511205\pi\)
\(240\) −0.0403249 0.176675i −0.00260296 0.0114043i
\(241\) −3.48148 4.36563i −0.224262 0.281215i 0.656953 0.753932i \(-0.271845\pi\)
−0.881215 + 0.472716i \(0.843274\pi\)
\(242\) 8.70172 + 10.9116i 0.559368 + 0.701425i
\(243\) 11.4196 + 5.49940i 0.732569 + 0.352787i
\(244\) 1.46985 6.43983i 0.0940974 0.412268i
\(245\) 1.22226 1.53266i 0.0780871 0.0979181i
\(246\) 0.706671 3.09613i 0.0450557 0.197402i
\(247\) −24.2687 + 11.6872i −1.54418 + 0.743637i
\(248\) −1.70104 2.13303i −0.108016 0.135448i
\(249\) −6.67006 + 3.21213i −0.422698 + 0.203561i
\(250\) 1.28988 1.61745i 0.0815789 0.102297i
\(251\) −23.7349 −1.49813 −0.749065 0.662496i \(-0.769497\pi\)
−0.749065 + 0.662496i \(0.769497\pi\)
\(252\) −1.98267 −0.124896
\(253\) 2.53618 3.18026i 0.159448 0.199941i
\(254\) 1.55854 + 0.750553i 0.0977914 + 0.0470939i
\(255\) −0.0346276 0.151714i −0.00216847 0.00950067i
\(256\) 2.49006 10.9097i 0.155629 0.681855i
\(257\) −1.40924 −0.0879062 −0.0439531 0.999034i \(-0.513995\pi\)
−0.0439531 + 0.999034i \(0.513995\pi\)
\(258\) −1.30515 + 2.16665i −0.0812552 + 0.134890i
\(259\) 3.72545 0.231488
\(260\) −0.572393 + 2.50782i −0.0354983 + 0.155528i
\(261\) 1.93322 + 8.46998i 0.119663 + 0.524279i
\(262\) 0.910147 + 0.438304i 0.0562291 + 0.0270785i
\(263\) 14.4636 18.1368i 0.891865 1.11836i −0.100489 0.994938i \(-0.532041\pi\)
0.992354 0.123425i \(-0.0393879\pi\)
\(264\) −7.40807 −0.455935
\(265\) 0.520370 0.0319661
\(266\) −0.995736 + 1.24861i −0.0610525 + 0.0765574i
\(267\) −5.72382 + 2.75645i −0.350292 + 0.168692i
\(268\) −7.76501 9.73701i −0.474323 0.594783i
\(269\) −15.1920 + 7.31606i −0.926270 + 0.446068i −0.835306 0.549786i \(-0.814709\pi\)
−0.0909645 + 0.995854i \(0.528995\pi\)
\(270\) 0.142247 0.623225i 0.00865688 0.0379283i
\(271\) 13.6523 17.1194i 0.829316 1.03993i −0.169206 0.985581i \(-0.554120\pi\)
0.998522 0.0543483i \(-0.0173081\pi\)
\(272\) −0.259132 + 1.13533i −0.0157122 + 0.0688396i
\(273\) −1.42444 0.685976i −0.0862112 0.0415171i
\(274\) −2.09348 2.62514i −0.126472 0.158591i
\(275\) 16.9011 + 21.1933i 1.01918 + 1.27801i
\(276\) 0.130557 + 0.572007i 0.00785860 + 0.0344308i
\(277\) 5.90617 + 2.84426i 0.354867 + 0.170895i 0.602820 0.797877i \(-0.294044\pi\)
−0.247953 + 0.968772i \(0.579758\pi\)
\(278\) −1.20217 + 0.578933i −0.0721012 + 0.0347221i
\(279\) 0.657428 + 2.88038i 0.0393592 + 0.172444i
\(280\) 0.0797097 + 0.349231i 0.00476357 + 0.0208706i
\(281\) −16.9143 + 8.14552i −1.00903 + 0.485921i −0.863992 0.503506i \(-0.832043\pi\)
−0.145033 + 0.989427i \(0.546329\pi\)
\(282\) 0.109472 + 0.0527188i 0.00651895 + 0.00313936i
\(283\) −4.32163 18.9343i −0.256894 1.12553i −0.924551 0.381058i \(-0.875560\pi\)
0.667657 0.744469i \(-0.267297\pi\)
\(284\) 12.6847 + 15.9061i 0.752696 + 0.943851i
\(285\) 0.437089 + 0.548093i 0.0258909 + 0.0324662i
\(286\) 21.3627 + 10.2877i 1.26320 + 0.608326i
\(287\) 0.903133 3.95689i 0.0533103 0.233568i
\(288\) −9.88732 + 12.3983i −0.582616 + 0.730577i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 0.602105 0.289958i 0.0353568 0.0170269i
\(291\) −3.64265 4.56774i −0.213536 0.267766i
\(292\) −4.66503 + 2.24656i −0.273000 + 0.131470i
\(293\) −20.6404 + 25.8823i −1.20583 + 1.51206i −0.403712 + 0.914886i \(0.632280\pi\)
−0.802113 + 0.597172i \(0.796291\pi\)
\(294\) 2.60636 0.152006
\(295\) 2.67289 0.155622
\(296\) 11.8014 14.7985i 0.685945 0.860148i
\(297\) 15.2224 + 7.33070i 0.883291 + 0.425370i
\(298\) 3.49308 + 15.3042i 0.202349 + 0.886548i
\(299\) 0.981474 4.30012i 0.0567601 0.248682i
\(300\) −3.90989 −0.225738
\(301\) −1.66800 + 2.76901i −0.0961419 + 0.159603i
\(302\) 9.78150 0.562862
\(303\) 0.270467 1.18499i 0.0155379 0.0680761i
\(304\) −1.16737 5.11460i −0.0669535 0.293342i
\(305\) 1.16438 + 0.560736i 0.0666723 + 0.0321077i
\(306\) −1.21612 + 1.52497i −0.0695209 + 0.0871765i
\(307\) −0.677228 −0.0386514 −0.0193257 0.999813i \(-0.506152\pi\)
−0.0193257 + 0.999813i \(0.506152\pi\)
\(308\) −4.03090 −0.229682
\(309\) 3.66133 4.59116i 0.208286 0.261182i
\(310\) 0.204757 0.0986060i 0.0116294 0.00560044i
\(311\) 3.92738 + 4.92478i 0.222701 + 0.279259i 0.880613 0.473837i \(-0.157131\pi\)
−0.657911 + 0.753095i \(0.728560\pi\)
\(312\) −7.23724 + 3.48527i −0.409728 + 0.197315i
\(313\) −1.08886 + 4.77062i −0.0615461 + 0.269651i −0.996333 0.0855572i \(-0.972733\pi\)
0.934787 + 0.355208i \(0.115590\pi\)
\(314\) 10.7311 13.4564i 0.605594 0.759390i
\(315\) 0.0863187 0.378187i 0.00486351 0.0213084i
\(316\) 19.3858 + 9.33572i 1.09054 + 0.525175i
\(317\) −1.84034 2.30772i −0.103364 0.129614i 0.727459 0.686151i \(-0.240701\pi\)
−0.830823 + 0.556537i \(0.812130\pi\)
\(318\) 0.431363 + 0.540912i 0.0241896 + 0.0303329i
\(319\) 3.93037 + 17.2201i 0.220058 + 0.964138i
\(320\) 0.490241 + 0.236088i 0.0274053 + 0.0131977i
\(321\) 0.784244 0.377672i 0.0437722 0.0210796i
\(322\) −0.0581912 0.254952i −0.00324287 0.0142079i
\(323\) −1.00244 4.39199i −0.0557774 0.244377i
\(324\) 8.67524 4.17778i 0.481958 0.232099i
\(325\) 26.4822 + 12.7531i 1.46897 + 0.707417i
\(326\) −3.50566 15.3593i −0.194161 0.850673i
\(327\) −0.793437 0.994938i −0.0438771 0.0550202i
\(328\) −12.8569 16.1221i −0.709906 0.890194i
\(329\) 0.139906 + 0.0673753i 0.00771328 + 0.00371452i
\(330\) 0.137316 0.601622i 0.00755901 0.0331182i
\(331\) −7.09083 + 8.89162i −0.389747 + 0.488728i −0.937536 0.347889i \(-0.886899\pi\)
0.547788 + 0.836617i \(0.315470\pi\)
\(332\) −4.55424 + 19.9534i −0.249946 + 1.09509i
\(333\) −18.4675 + 8.89350i −1.01201 + 0.487361i
\(334\) −2.97804 3.73434i −0.162951 0.204334i
\(335\) 2.19536 1.05723i 0.119945 0.0577627i
\(336\) 0.191985 0.240742i 0.0104737 0.0131335i
\(337\) −26.9887 −1.47017 −0.735085 0.677975i \(-0.762858\pi\)
−0.735085 + 0.677975i \(0.762858\pi\)
\(338\) 16.3614 0.889941
\(339\) 3.57475 4.48259i 0.194154 0.243461i
\(340\) −0.387602 0.186659i −0.0210207 0.0101230i
\(341\) 1.33660 + 5.85601i 0.0723808 + 0.317121i
\(342\) 1.95527 8.56660i 0.105729 0.463229i
\(343\) 6.78172 0.366178
\(344\) 5.71543 + 15.3974i 0.308155 + 0.830174i
\(345\) −0.114792 −0.00618021
\(346\) 0.419445 1.83771i 0.0225495 0.0987959i
\(347\) −4.82123 21.1232i −0.258817 1.13395i −0.922518 0.385954i \(-0.873872\pi\)
0.663701 0.747998i \(-0.268985\pi\)
\(348\) −2.29536 1.10539i −0.123044 0.0592550i
\(349\) −3.40971 + 4.27564i −0.182518 + 0.228870i −0.864670 0.502340i \(-0.832473\pi\)
0.682153 + 0.731210i \(0.261044\pi\)
\(350\) 1.74270 0.0931513
\(351\) 18.3202 0.977859
\(352\) −20.1016 + 25.2066i −1.07142 + 1.34352i
\(353\) 6.23137 3.00087i 0.331662 0.159720i −0.260640 0.965436i \(-0.583934\pi\)
0.592302 + 0.805716i \(0.298219\pi\)
\(354\) 2.21570 + 2.77841i 0.117763 + 0.147671i
\(355\) −3.58627 + 1.72706i −0.190339 + 0.0916626i
\(356\) −3.90815 + 17.1227i −0.207132 + 0.907503i
\(357\) 0.164861 0.206729i 0.00872536 0.0109413i
\(358\) −0.256040 + 1.12179i −0.0135322 + 0.0592883i
\(359\) −0.490614 0.236267i −0.0258936 0.0124697i 0.420892 0.907111i \(-0.361717\pi\)
−0.446786 + 0.894641i \(0.647431\pi\)
\(360\) −1.22883 1.54090i −0.0647649 0.0812126i
\(361\) 0.807095 + 1.01207i 0.0424787 + 0.0532666i
\(362\) 2.03905 + 8.93364i 0.107170 + 0.469542i
\(363\) 9.37881 + 4.51660i 0.492260 + 0.237060i
\(364\) −3.93794 + 1.89641i −0.206404 + 0.0993991i
\(365\) −0.225423 0.987645i −0.0117992 0.0516957i
\(366\) 0.382347 + 1.67517i 0.0199856 + 0.0875626i
\(367\) −7.20527 + 3.46988i −0.376112 + 0.181126i −0.612383 0.790561i \(-0.709789\pi\)
0.236271 + 0.971687i \(0.424075\pi\)
\(368\) 0.773964 + 0.372721i 0.0403456 + 0.0194294i
\(369\) 4.96904 + 21.7708i 0.258678 + 1.13334i
\(370\) 0.983062 + 1.23272i 0.0511070 + 0.0640861i
\(371\) 0.551287 + 0.691292i 0.0286214 + 0.0358901i
\(372\) −0.780581 0.375908i −0.0404713 0.0194899i
\(373\) 2.24433 9.83306i 0.116207 0.509136i −0.883002 0.469369i \(-0.844481\pi\)
0.999209 0.0397671i \(-0.0126616\pi\)
\(374\) −2.47245 + 3.10036i −0.127848 + 0.160316i
\(375\) 0.343362 1.50437i 0.0177311 0.0776851i
\(376\) 0.710828 0.342317i 0.0366582 0.0176536i
\(377\) 11.9412 + 14.9738i 0.615005 + 0.771192i
\(378\) 0.978630 0.471283i 0.0503353 0.0242402i
\(379\) −18.1624 + 22.7749i −0.932941 + 1.16987i 0.0522891 + 0.998632i \(0.483348\pi\)
−0.985230 + 0.171238i \(0.945223\pi\)
\(380\) 1.93805 0.0994200
\(381\) 1.29024 0.0661009
\(382\) 2.54936 3.19680i 0.130437 0.163562i
\(383\) 1.12049 + 0.539598i 0.0572542 + 0.0275722i 0.462292 0.886728i \(-0.347027\pi\)
−0.405038 + 0.914300i \(0.632742\pi\)
\(384\) −1.23470 5.40956i −0.0630078 0.276055i
\(385\) 0.175492 0.768879i 0.00894389 0.0391857i
\(386\) −8.72009 −0.443841
\(387\) 1.65823 17.7083i 0.0842926 0.900161i
\(388\) −16.1515 −0.819968
\(389\) 1.79632 7.87021i 0.0910773 0.399036i −0.908755 0.417329i \(-0.862966\pi\)
0.999833 + 0.0182936i \(0.00582335\pi\)
\(390\) −0.148895 0.652351i −0.00753958 0.0330331i
\(391\) 0.664616 + 0.320062i 0.0336111 + 0.0161862i
\(392\) 10.5518 13.2315i 0.532946 0.668293i
\(393\) 0.753467 0.0380074
\(394\) −7.45919 −0.375789
\(395\) −2.62475 + 3.29133i −0.132065 + 0.165605i
\(396\) 19.9817 9.62268i 1.00412 0.483558i
\(397\) 8.88677 + 11.1437i 0.446014 + 0.559284i 0.953117 0.302601i \(-0.0978551\pi\)
−0.507103 + 0.861885i \(0.669284\pi\)
\(398\) 4.62417 2.22688i 0.231789 0.111624i
\(399\) −0.265062 + 1.16131i −0.0132697 + 0.0581384i
\(400\) −3.56924 + 4.47569i −0.178462 + 0.223785i
\(401\) −4.19958 + 18.3996i −0.209717 + 0.918830i 0.755038 + 0.655681i \(0.227618\pi\)
−0.964755 + 0.263149i \(0.915239\pi\)
\(402\) 2.91882 + 1.40563i 0.145578 + 0.0701065i
\(403\) 4.06085 + 5.09214i 0.202285 + 0.253658i
\(404\) −2.09506 2.62713i −0.104233 0.130704i
\(405\) 0.419205 + 1.83666i 0.0208305 + 0.0912642i
\(406\) 1.02308 + 0.492688i 0.0507745 + 0.0244517i
\(407\) −37.5458 + 18.0811i −1.86107 + 0.896246i
\(408\) −0.298942 1.30975i −0.0147998 0.0648423i
\(409\) −7.19976 31.5442i −0.356005 1.55976i −0.763042 0.646349i \(-0.776295\pi\)
0.407036 0.913412i \(-0.366562\pi\)
\(410\) 1.54762 0.745294i 0.0764315 0.0368074i
\(411\) −2.25638 1.08662i −0.111299 0.0535988i
\(412\) −3.61247 15.8273i −0.177974 0.779754i
\(413\) 2.83170 + 3.55083i 0.139339 + 0.174725i
\(414\) 0.897092 + 1.12492i 0.0440897 + 0.0552867i
\(415\) −3.60776 1.73741i −0.177098 0.0852860i
\(416\) −7.77911 + 34.0825i −0.381402 + 1.67103i
\(417\) −0.620507 + 0.778091i −0.0303864 + 0.0381033i
\(418\) 3.97520 17.4165i 0.194433 0.851868i
\(419\) 26.7535 12.8838i 1.30699 0.629414i 0.354808 0.934939i \(-0.384546\pi\)
0.952184 + 0.305525i \(0.0988318\pi\)
\(420\) 0.0709241 + 0.0889361i 0.00346074 + 0.00433963i
\(421\) 18.7743 9.04121i 0.915001 0.440641i 0.0837175 0.996490i \(-0.473321\pi\)
0.831284 + 0.555848i \(0.187606\pi\)
\(422\) −8.47174 + 10.6232i −0.412398 + 0.517130i
\(423\) −0.854374 −0.0415411
\(424\) 4.49238 0.218169
\(425\) −3.06497 + 3.84335i −0.148673 + 0.186430i
\(426\) −4.76809 2.29619i −0.231015 0.111251i
\(427\) 0.488644 + 2.14089i 0.0236471 + 0.103605i
\(428\) 0.535472 2.34606i 0.0258830 0.113401i
\(429\) 17.6851 0.853846
\(430\) −1.35639 + 0.178752i −0.0654110 + 0.00862020i
\(431\) −20.1669 −0.971407 −0.485703 0.874124i \(-0.661436\pi\)
−0.485703 + 0.874124i \(0.661436\pi\)
\(432\) −0.793969 + 3.47861i −0.0381999 + 0.167365i
\(433\) −3.77602 16.5438i −0.181464 0.795045i −0.980934 0.194339i \(-0.937744\pi\)
0.799471 0.600705i \(-0.205113\pi\)
\(434\) 0.347917 + 0.167548i 0.0167006 + 0.00804257i
\(435\) 0.310781 0.389707i 0.0149008 0.0186850i
\(436\) −3.51809 −0.168486
\(437\) −3.32315 −0.158968
\(438\) 0.839767 1.05304i 0.0401256 0.0503160i
\(439\) 0.150746 0.0725956i 0.00719473 0.00346480i −0.430283 0.902694i \(-0.641586\pi\)
0.437478 + 0.899229i \(0.355872\pi\)
\(440\) −2.49829 3.13276i −0.119101 0.149348i
\(441\) −16.5120 + 7.95177i −0.786286 + 0.378656i
\(442\) −0.956814 + 4.19208i −0.0455110 + 0.199397i
\(443\) 20.7452 26.0136i 0.985632 1.23594i 0.0138892 0.999904i \(-0.495579\pi\)
0.971743 0.236040i \(-0.0758498\pi\)
\(444\) 1.33752 5.86007i 0.0634760 0.278106i
\(445\) −3.09595 1.49093i −0.146762 0.0706770i
\(446\) −0.346309 0.434258i −0.0163982 0.0205627i
\(447\) 7.30012 + 9.15406i 0.345284 + 0.432972i
\(448\) 0.205735 + 0.901382i 0.00972005 + 0.0425863i
\(449\) −1.99723 0.961816i −0.0942552 0.0453909i 0.386162 0.922431i \(-0.373801\pi\)
−0.480417 + 0.877040i \(0.659515\pi\)
\(450\) −8.63880 + 4.16023i −0.407237 + 0.196115i
\(451\) 10.1024 + 44.2615i 0.475704 + 2.08419i
\(452\) −3.52705 15.4530i −0.165898 0.726848i
\(453\) 6.57321 3.16549i 0.308836 0.148728i
\(454\) 12.2667 + 5.90732i 0.575704 + 0.277244i
\(455\) −0.190289 0.833712i −0.00892090 0.0390850i
\(456\) 3.77341 + 4.73171i 0.176706 + 0.221583i
\(457\) 14.3318 + 17.9715i 0.670414 + 0.840673i 0.994432 0.105378i \(-0.0336052\pi\)
−0.324018 + 0.946051i \(0.605034\pi\)
\(458\) 5.19218 + 2.50042i 0.242614 + 0.116837i
\(459\) −0.681795 + 2.98714i −0.0318234 + 0.139428i
\(460\) −0.197864 + 0.248113i −0.00922545 + 0.0115683i
\(461\) −4.24364 + 18.5926i −0.197646 + 0.865944i 0.774687 + 0.632345i \(0.217908\pi\)
−0.972333 + 0.233599i \(0.924950\pi\)
\(462\) 0.944707 0.454947i 0.0439517 0.0211660i
\(463\) 24.5472 + 30.7812i 1.14081 + 1.43053i 0.886092 + 0.463509i \(0.153410\pi\)
0.254714 + 0.967017i \(0.418019\pi\)
\(464\) −3.36072 + 1.61844i −0.156018 + 0.0751341i
\(465\) 0.105687 0.132527i 0.00490112 0.00614581i
\(466\) −19.9478 −0.924066
\(467\) 1.73921 0.0804813 0.0402406 0.999190i \(-0.487188\pi\)
0.0402406 + 0.999190i \(0.487188\pi\)
\(468\) 14.9937 18.8016i 0.693086 0.869102i
\(469\) 3.73029 + 1.79641i 0.172249 + 0.0829506i
\(470\) 0.0146242 + 0.0640727i 0.000674563 + 0.00295545i
\(471\) 2.85660 12.5156i 0.131625 0.576688i
\(472\) 23.0752 1.06212
\(473\) 3.37129 36.0021i 0.155012 1.65538i
\(474\) −5.59706 −0.257081
\(475\) 4.92784 21.5903i 0.226105 0.990630i
\(476\) −0.162661 0.712665i −0.00745556 0.0326649i
\(477\) −4.38308 2.11078i −0.200687 0.0966460i
\(478\) −5.57178 + 6.98679i −0.254847 + 0.319568i
\(479\) 12.0499 0.550575 0.275288 0.961362i \(-0.411227\pi\)
0.275288 + 0.961362i \(0.411227\pi\)
\(480\) 0.909838 0.0415282
\(481\) −28.1733 + 35.3282i −1.28459 + 1.61083i
\(482\) 3.61788 1.74228i 0.164790 0.0793585i
\(483\) −0.121613 0.152497i −0.00553356 0.00693887i
\(484\) 25.9282 12.4864i 1.17855 0.567562i
\(485\) 0.703182 3.08084i 0.0319298 0.139894i
\(486\) −5.68304 + 7.12631i −0.257788 + 0.323256i
\(487\) 1.31484 5.76069i 0.0595811 0.261042i −0.936361 0.351039i \(-0.885829\pi\)
0.995942 + 0.0899969i \(0.0286857\pi\)
\(488\) 10.0522 + 4.84086i 0.455040 + 0.219135i
\(489\) −7.32640 9.18702i −0.331311 0.415451i
\(490\) 0.878966 + 1.10219i 0.0397076 + 0.0497918i
\(491\) 1.32279 + 5.79551i 0.0596966 + 0.261548i 0.995966 0.0897360i \(-0.0286023\pi\)
−0.936269 + 0.351284i \(0.885745\pi\)
\(492\) −5.89987 2.84123i −0.265987 0.128092i
\(493\) −2.88591 + 1.38978i −0.129975 + 0.0625926i
\(494\) −4.31039 18.8851i −0.193934 0.849679i
\(495\) 0.965556 + 4.23038i 0.0433985 + 0.190141i
\(496\) −1.14288 + 0.550381i −0.0513168 + 0.0247129i
\(497\) −6.09367 2.93456i −0.273339 0.131633i
\(498\) −1.18468 5.19042i −0.0530867 0.232588i
\(499\) −2.79825 3.50889i −0.125267 0.157080i 0.715243 0.698876i \(-0.246316\pi\)
−0.840510 + 0.541796i \(0.817745\pi\)
\(500\) −2.65971 3.33517i −0.118946 0.149154i
\(501\) −3.20976 1.54574i −0.143402 0.0690585i
\(502\) 3.79811 16.6406i 0.169518 0.742706i
\(503\) 19.7102 24.7158i 0.878834 1.10202i −0.115242 0.993337i \(-0.536764\pi\)
0.994076 0.108685i \(-0.0346641\pi\)
\(504\) 0.745193 3.26490i 0.0331935 0.145430i
\(505\) 0.592327 0.285249i 0.0263582 0.0126934i
\(506\) 1.82385 + 2.28703i 0.0810800 + 0.101671i
\(507\) 10.9949 5.29487i 0.488301 0.235153i
\(508\) 2.22394 2.78874i 0.0986716 0.123730i
\(509\) −13.0094 −0.576630 −0.288315 0.957536i \(-0.593095\pi\)
−0.288315 + 0.957536i \(0.593095\pi\)
\(510\) 0.111908 0.00495537
\(511\) 1.07323 1.34579i 0.0474770 0.0595343i
\(512\) −11.3901 5.48520i −0.503378 0.242414i
\(513\) −3.07144 13.4569i −0.135608 0.594136i
\(514\) 0.225510 0.988025i 0.00994684 0.0435799i
\(515\) 3.17627 0.139963
\(516\) 3.75676 + 3.61788i 0.165382 + 0.159268i
\(517\) −1.73700 −0.0763932
\(518\) −0.596154 + 2.61192i −0.0261935 + 0.114761i
\(519\) −0.312851 1.37069i −0.0137326 0.0601666i
\(520\) −3.91454 1.88514i −0.171664 0.0826690i
\(521\) −19.4925 + 24.4428i −0.853981 + 1.07086i 0.142725 + 0.989762i \(0.454414\pi\)
−0.996706 + 0.0810963i \(0.974158\pi\)
\(522\) −6.24769 −0.273454
\(523\) 29.4371 1.28719 0.643597 0.765365i \(-0.277441\pi\)
0.643597 + 0.765365i \(0.277441\pi\)
\(524\) 1.29873 1.62855i 0.0567351 0.0711436i
\(525\) 1.17110 0.563973i 0.0511111 0.0246138i
\(526\) 10.4013 + 13.0428i 0.453517 + 0.568692i
\(527\) −0.981409 + 0.472622i −0.0427508 + 0.0205877i
\(528\) −0.766447 + 3.35802i −0.0333553 + 0.146139i
\(529\) −14.0010 + 17.5567i −0.608739 + 0.763334i
\(530\) −0.0832708 + 0.364833i −0.00361705 + 0.0158473i
\(531\) −22.5138 10.8421i −0.977014 0.470505i
\(532\) 2.05320 + 2.57463i 0.0890175 + 0.111624i
\(533\) 30.6931 + 38.4880i 1.32947 + 1.66710i
\(534\) −1.01662 4.45408i −0.0439933 0.192747i
\(535\) 0.424189 + 0.204279i 0.0183393 + 0.00883174i
\(536\) 18.9527 9.12712i 0.818630 0.394231i
\(537\) 0.190973 + 0.836705i 0.00824107 + 0.0361065i
\(538\) −2.69826 11.8219i −0.116330 0.509677i
\(539\) −33.5701 + 16.1665i −1.44596 + 0.696340i
\(540\) −1.18760 0.571916i −0.0511060 0.0246114i
\(541\) −8.90076 38.9968i −0.382674 1.67660i −0.689067 0.724697i \(-0.741980\pi\)
0.306394 0.951905i \(-0.400878\pi\)
\(542\) 9.81780 + 12.3111i 0.421711 + 0.528808i
\(543\) 4.26136 + 5.34357i 0.182872 + 0.229315i
\(544\) −5.26771 2.53680i −0.225851 0.108764i
\(545\) 0.153166 0.671063i 0.00656090 0.0287452i
\(546\) 0.708883 0.888911i 0.0303374 0.0380419i
\(547\) −5.29804 + 23.2122i −0.226528 + 0.992483i 0.725920 + 0.687780i \(0.241414\pi\)
−0.952447 + 0.304703i \(0.901443\pi\)
\(548\) −6.23787 + 3.00400i −0.266469 + 0.128325i
\(549\) −7.53307 9.44617i −0.321504 0.403153i
\(550\) −17.5633 + 8.45803i −0.748900 + 0.360651i
\(551\) 8.99686 11.2817i 0.383279 0.480617i
\(552\) −0.991007 −0.0421800
\(553\) −7.15311 −0.304181
\(554\) −2.93924 + 3.68569i −0.124876 + 0.156590i
\(555\) 1.05956 + 0.510255i 0.0449756 + 0.0216591i
\(556\) 0.612227 + 2.68234i 0.0259642 + 0.113757i
\(557\) −7.00813 + 30.7046i −0.296944 + 1.30100i 0.577707 + 0.816244i \(0.303948\pi\)
−0.874651 + 0.484753i \(0.838910\pi\)
\(558\) −2.12465 −0.0899435
\(559\) −13.6443 36.7579i −0.577093 1.55470i
\(560\) 0.166551 0.00703805
\(561\) −0.658161 + 2.88359i −0.0277876 + 0.121745i
\(562\) −3.00418 13.1622i −0.126724 0.555213i
\(563\) −7.53312 3.62776i −0.317483 0.152892i 0.268355 0.963320i \(-0.413520\pi\)
−0.585838 + 0.810428i \(0.699234\pi\)
\(564\) 0.156210 0.195881i 0.00657762 0.00824808i
\(565\) 3.10116 0.130467
\(566\) 13.9665 0.587054
\(567\) −1.99582 + 2.50268i −0.0838165 + 0.105103i
\(568\) −30.9604 + 14.9097i −1.29907 + 0.625599i
\(569\) 17.9197 + 22.4706i 0.751233 + 0.942017i 0.999645 0.0266377i \(-0.00848004\pi\)
−0.248412 + 0.968655i \(0.579909\pi\)
\(570\) −0.454214 + 0.218738i −0.0190249 + 0.00916192i
\(571\) −6.16374 + 27.0051i −0.257944 + 1.13013i 0.665501 + 0.746397i \(0.268218\pi\)
−0.923445 + 0.383731i \(0.874639\pi\)
\(572\) 30.4833 38.2249i 1.27457 1.59826i
\(573\) 0.678633 2.97329i 0.0283503 0.124211i
\(574\) 2.62966 + 1.26638i 0.109760 + 0.0528577i
\(575\) 2.26093 + 2.83511i 0.0942872 + 0.118232i
\(576\) −3.17166 3.97714i −0.132153 0.165714i
\(577\) −0.293577 1.28625i −0.0122218 0.0535472i 0.968449 0.249211i \(-0.0801711\pi\)
−0.980671 + 0.195663i \(0.937314\pi\)
\(578\) −0.647917 0.312020i −0.0269498 0.0129783i
\(579\) −5.85994 + 2.82200i −0.243531 + 0.117278i
\(580\) −0.306634 1.34345i −0.0127323 0.0557837i
\(581\) −1.51403 6.63342i −0.0628127 0.275200i
\(582\) 3.78537 1.82294i 0.156908 0.0755631i
\(583\) −8.91110 4.29136i −0.369060 0.177730i
\(584\) −1.94609 8.52638i −0.0805298 0.352824i
\(585\) 2.93355 + 3.67856i 0.121287 + 0.152090i
\(586\) −14.8432 18.6128i −0.613168 0.768888i
\(587\) −13.1331 6.32458i −0.542062 0.261043i 0.142756 0.989758i \(-0.454404\pi\)
−0.684817 + 0.728715i \(0.740118\pi\)
\(588\) 1.19589 5.23955i 0.0493178 0.216075i
\(589\) 3.05956 3.83656i 0.126067 0.158083i
\(590\) −0.427722 + 1.87397i −0.0176090 + 0.0771502i
\(591\) −5.01261 + 2.41395i −0.206191 + 0.0992964i
\(592\) −5.48708 6.88058i −0.225518 0.282790i
\(593\) −8.63901 + 4.16033i −0.354762 + 0.170844i −0.602773 0.797913i \(-0.705937\pi\)
0.248011 + 0.968757i \(0.420223\pi\)
\(594\) −7.57549 + 9.49937i −0.310826 + 0.389764i
\(595\) 0.143020 0.00586324
\(596\) 32.3687 1.32587
\(597\) 2.38680 2.99295i 0.0976851 0.122493i
\(598\) 2.85777 + 1.37623i 0.116863 + 0.0562782i
\(599\) −1.67980 7.35969i −0.0686349 0.300709i 0.928947 0.370213i \(-0.120715\pi\)
−0.997582 + 0.0695043i \(0.977858\pi\)
\(600\) 1.46955 6.43851i 0.0599940 0.262851i
\(601\) 47.9946 1.95774 0.978871 0.204478i \(-0.0655498\pi\)
0.978871 + 0.204478i \(0.0655498\pi\)
\(602\) −1.67445 1.61254i −0.0682453 0.0657223i
\(603\) −22.7800 −0.927673
\(604\) 4.48810 19.6637i 0.182618 0.800103i
\(605\) 1.25290 + 5.48932i 0.0509377 + 0.223173i
\(606\) 0.787522 + 0.379251i 0.0319909 + 0.0154060i
\(607\) −10.4366 + 13.0871i −0.423608 + 0.531187i −0.947141 0.320818i \(-0.896042\pi\)
0.523533 + 0.852005i \(0.324614\pi\)
\(608\) 26.3391 1.06819
\(609\) 0.846956 0.0343204
\(610\) −0.579461 + 0.726621i −0.0234617 + 0.0294200i
\(611\) −1.69694 + 0.817206i −0.0686510 + 0.0330606i
\(612\) 2.50763 + 3.14446i 0.101365 + 0.127107i
\(613\) 38.0366 18.3175i 1.53629 0.739836i 0.541392 0.840770i \(-0.317897\pi\)
0.994893 + 0.100934i \(0.0321831\pi\)
\(614\) 0.108372 0.474807i 0.00437352 0.0191616i
\(615\) 0.798815 1.00168i 0.0322113 0.0403917i
\(616\) 1.51503 6.63777i 0.0610422 0.267443i
\(617\) 14.9041 + 7.17746i 0.600018 + 0.288954i 0.709132 0.705076i \(-0.249087\pi\)
−0.109114 + 0.994029i \(0.534801\pi\)
\(618\) 2.63298 + 3.30166i 0.105914 + 0.132812i
\(619\) 25.4578 + 31.9231i 1.02324 + 1.28310i 0.958469 + 0.285198i \(0.0920594\pi\)
0.0647684 + 0.997900i \(0.479369\pi\)
\(620\) −0.104277 0.456866i −0.00418785 0.0183482i
\(621\) 2.03635 + 0.980656i 0.0817161 + 0.0393524i
\(622\) −4.08125 + 1.96543i −0.163643 + 0.0788064i
\(623\) −1.29925 5.69237i −0.0520532 0.228060i
\(624\) 0.831075 + 3.64118i 0.0332696 + 0.145764i
\(625\) −21.3931 + 10.3024i −0.855723 + 0.412095i
\(626\) −3.17045 1.52681i −0.126717 0.0610236i
\(627\) −2.96498 12.9904i −0.118410 0.518787i
\(628\) −22.1275 27.7470i −0.882984 1.10723i
\(629\) −4.71185 5.90847i −0.187874 0.235586i
\(630\) 0.251335 + 0.121037i 0.0100134 + 0.00482221i
\(631\) 5.89418 25.8241i 0.234644 1.02804i −0.711091 0.703100i \(-0.751799\pi\)
0.945734 0.324940i \(-0.105344\pi\)
\(632\) −22.6596 + 28.4142i −0.901349 + 1.13026i
\(633\) −2.25516 + 9.88048i −0.0896344 + 0.392714i
\(634\) 1.91244 0.920984i 0.0759528 0.0365769i
\(635\) 0.435119 + 0.545621i 0.0172672 + 0.0216523i
\(636\) 1.28532 0.618976i 0.0509661 0.0245440i
\(637\) −25.1901 + 31.5874i −0.998067 + 1.25154i
\(638\) −12.7020 −0.502876
\(639\) 37.2126 1.47211
\(640\) 1.87123 2.34645i 0.0739668 0.0927514i
\(641\) 2.08217 + 1.00272i 0.0822406 + 0.0396050i 0.474552 0.880228i \(-0.342610\pi\)
−0.392311 + 0.919833i \(0.628324\pi\)
\(642\) 0.139291 + 0.610272i 0.00549736 + 0.0240855i
\(643\) 4.42059 19.3679i 0.174331 0.763794i −0.809851 0.586635i \(-0.800452\pi\)
0.984182 0.177159i \(-0.0566906\pi\)
\(644\) −0.539229 −0.0212486
\(645\) −0.853653 + 0.559078i −0.0336126 + 0.0220137i
\(646\) 3.23965 0.127462
\(647\) 7.13087 31.2424i 0.280343 1.22826i −0.617011 0.786954i \(-0.711657\pi\)
0.897355 0.441310i \(-0.145486\pi\)
\(648\) 3.61901 + 15.8559i 0.142168 + 0.622880i
\(649\) −45.7720 22.0426i −1.79671 0.865249i
\(650\) −13.1790 + 16.5260i −0.516923 + 0.648201i
\(651\) 0.288024 0.0112885
\(652\) −32.4852 −1.27222
\(653\) 23.5633 29.5475i 0.922105 1.15628i −0.0652675 0.997868i \(-0.520790\pi\)
0.987373 0.158415i \(-0.0506385\pi\)
\(654\) 0.824522 0.397069i 0.0322414 0.0155266i
\(655\) 0.254098 + 0.318629i 0.00992844 + 0.0124499i
\(656\) −8.63823 + 4.15995i −0.337266 + 0.162419i
\(657\) −2.10745 + 9.23332i −0.0822193 + 0.360226i
\(658\) −0.0696251 + 0.0873072i −0.00271427 + 0.00340359i
\(659\) 8.03352 35.1972i 0.312942 1.37109i −0.536721 0.843760i \(-0.680337\pi\)
0.849663 0.527327i \(-0.176806\pi\)
\(660\) −1.14643 0.552091i −0.0446247 0.0214901i
\(661\) 1.25401 + 1.57248i 0.0487755 + 0.0611625i 0.805621 0.592431i \(-0.201832\pi\)
−0.756845 + 0.653594i \(0.773260\pi\)
\(662\) −5.09926 6.39426i −0.198188 0.248520i
\(663\) 0.713658 + 3.12674i 0.0277162 + 0.121432i
\(664\) −31.1460 14.9991i −1.20870 0.582079i
\(665\) −0.580491 + 0.279550i −0.0225105 + 0.0108405i
\(666\) −3.28004 14.3708i −0.127099 0.556858i
\(667\) 0.525780 + 2.30359i 0.0203583 + 0.0891955i
\(668\) −8.87354 + 4.27327i −0.343328 + 0.165338i
\(669\) −0.373256 0.179751i −0.0144309 0.00694956i
\(670\) 0.389921 + 1.70836i 0.0150640 + 0.0659996i
\(671\) −15.3152 19.2047i −0.591238 0.741390i
\(672\) 0.963895 + 1.20869i 0.0371831 + 0.0466261i
\(673\) −10.5256 5.06885i −0.405731 0.195390i 0.219876 0.975528i \(-0.429435\pi\)
−0.625608 + 0.780138i \(0.715149\pi\)
\(674\) 4.31880 18.9219i 0.166354 0.728844i
\(675\) −9.39094 + 11.7759i −0.361457 + 0.453253i
\(676\) 7.50719 32.8911i 0.288738 1.26504i
\(677\) 10.9441 5.27041i 0.420617 0.202558i −0.211589 0.977359i \(-0.567864\pi\)
0.632206 + 0.774800i \(0.282150\pi\)
\(678\) 2.57072 + 3.22358i 0.0987279 + 0.123801i
\(679\) 4.83774 2.32973i 0.185656 0.0894070i
\(680\) 0.453058 0.568116i 0.0173740 0.0217863i
\(681\) 10.1550 0.389140
\(682\) −4.31956 −0.165404
\(683\) 13.1828 16.5307i 0.504426 0.632530i −0.462796 0.886465i \(-0.653154\pi\)
0.967221 + 0.253935i \(0.0817250\pi\)
\(684\) −16.3242 7.86133i −0.624172 0.300585i
\(685\) −0.301427 1.32064i −0.0115169 0.0504589i
\(686\) −1.08523 + 4.75468i −0.0414341 + 0.181535i
\(687\) 4.29835 0.163992
\(688\) 7.57086 0.997728i 0.288637 0.0380380i
\(689\) −10.7246 −0.408573
\(690\) 0.0183693 0.0804813i 0.000699308 0.00306387i
\(691\) −4.83573 21.1867i −0.183960 0.805981i −0.979720 0.200370i \(-0.935786\pi\)
0.795760 0.605612i \(-0.207071\pi\)
\(692\) −3.50188 1.68642i −0.133121 0.0641079i
\(693\) −4.59698 + 5.76443i −0.174625 + 0.218972i
\(694\) 15.5810 0.591448
\(695\) −0.538301 −0.0204189
\(696\) 2.68298 3.36436i 0.101698 0.127526i
\(697\) −7.41779 + 3.57222i −0.280969 + 0.135307i
\(698\) −2.45204 3.07476i −0.0928109 0.116381i
\(699\) −13.4050 + 6.45553i −0.507025 + 0.244170i
\(700\) 0.799614 3.50334i 0.0302226 0.132414i
\(701\) −14.4648 + 18.1382i −0.546327 + 0.685072i −0.975965 0.217929i \(-0.930070\pi\)
0.429638 + 0.903001i \(0.358641\pi\)
\(702\) −2.93164 + 12.8443i −0.110648 + 0.484779i
\(703\) 30.6733 + 14.7715i 1.15687 + 0.557117i
\(704\) −6.44820 8.08579i −0.243026 0.304745i
\(705\) 0.0305627 + 0.0383245i 0.00115106 + 0.00144338i
\(706\) 1.10676 + 4.84904i 0.0416535 + 0.182496i
\(707\) 1.00646 + 0.484687i 0.0378519 + 0.0182285i
\(708\) 6.60205 3.17938i 0.248120 0.119488i
\(709\) −3.37043 14.7668i −0.126579 0.554579i −0.997953 0.0639589i \(-0.979627\pi\)
0.871373 0.490620i \(-0.163230\pi\)
\(710\) −0.636962 2.79071i −0.0239048 0.104734i
\(711\) 35.4589 17.0761i 1.32981 0.640404i
\(712\) −26.7275 12.8713i −1.00165 0.482372i
\(713\) 0.178802 + 0.783382i 0.00669618 + 0.0293379i
\(714\) 0.118557 + 0.148666i 0.00443688 + 0.00556368i
\(715\) 5.96411 + 7.47876i 0.223045 + 0.279690i
\(716\) 2.13764 + 1.02943i 0.0798873 + 0.0384717i
\(717\) −1.48319 + 6.49829i −0.0553908 + 0.242683i
\(718\) 0.244157 0.306163i 0.00911186 0.0114259i
\(719\) −1.27444 + 5.58370i −0.0475287 + 0.208237i −0.993117 0.117130i \(-0.962631\pi\)
0.945588 + 0.325367i \(0.105488\pi\)
\(720\) −0.825614 + 0.397595i −0.0307688 + 0.0148175i
\(721\) 3.36499 + 4.21956i 0.125319 + 0.157145i
\(722\) −0.838716 + 0.403904i −0.0312138 + 0.0150318i
\(723\) 1.86739 2.34164i 0.0694491 0.0870864i
\(724\) 18.8948 0.702221
\(725\) −15.7460 −0.584791
\(726\) −4.66742 + 5.85276i −0.173224 + 0.217216i
\(727\) −44.1112 21.2429i −1.63600 0.787854i −0.999868 0.0162703i \(-0.994821\pi\)
−0.636128 0.771584i \(-0.719465\pi\)
\(728\) −1.64278 7.19747i −0.0608853 0.266756i
\(729\) 2.82197 12.3639i 0.104518 0.457921i
\(730\) 0.728514 0.0269635
\(731\) 6.50123 0.856765i 0.240457 0.0316886i
\(732\) 3.54302 0.130954
\(733\) 10.3361 45.2855i 0.381774 1.67266i −0.310149 0.950688i \(-0.600379\pi\)
0.691923 0.721972i \(-0.256764\pi\)
\(734\) −1.27974 5.60690i −0.0472360 0.206954i
\(735\) 0.947359 + 0.456224i 0.0349439 + 0.0168281i
\(736\) −2.68907 + 3.37199i −0.0991204 + 0.124293i
\(737\) −46.3133 −1.70597
\(738\) −16.0587 −0.591130
\(739\) −15.4143 + 19.3289i −0.567023 + 0.711025i −0.979839 0.199790i \(-0.935974\pi\)
0.412816 + 0.910815i \(0.364545\pi\)
\(740\) 2.92919 1.41063i 0.107679 0.0518556i
\(741\) −9.00819 11.2959i −0.330924 0.414966i
\(742\) −0.572886 + 0.275887i −0.0210313 + 0.0101281i
\(743\) −8.57724 + 37.5794i −0.314668 + 1.37865i 0.532096 + 0.846684i \(0.321405\pi\)
−0.846764 + 0.531968i \(0.821452\pi\)
\(744\) 0.912400 1.14411i 0.0334502 0.0419452i
\(745\) −1.40922 + 6.17421i −0.0516299 + 0.226205i
\(746\) 6.53485 + 3.14702i 0.239258 + 0.115220i
\(747\) 23.3408 + 29.2684i 0.853994 + 1.07087i
\(748\) 5.09818 + 6.39291i 0.186408 + 0.233748i
\(749\) 0.178015 + 0.779935i 0.00650453 + 0.0284982i
\(750\) 0.999771 + 0.481464i 0.0365065 + 0.0175806i
\(751\) 7.58516 3.65282i 0.276786 0.133293i −0.290341 0.956923i \(-0.593769\pi\)
0.567128 + 0.823630i \(0.308055\pi\)
\(752\) −0.0816266 0.357630i −0.00297662 0.0130414i
\(753\) −2.83289 12.4117i −0.103236 0.452307i
\(754\) −12.4091 + 5.97589i −0.451912 + 0.217629i
\(755\) 3.55538 + 1.71218i 0.129393 + 0.0623126i
\(756\) −0.498387 2.18357i −0.0181261 0.0794158i
\(757\) 14.7693 + 18.5201i 0.536800 + 0.673126i 0.974081 0.226199i \(-0.0726300\pi\)
−0.437281 +