Properties

Label 731.2.k.a.35.19
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 35.19
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.142029 - 0.622270i) q^{2} +(0.0629732 + 0.275904i) q^{3} +(1.43489 + 0.691006i) q^{4} +(0.259053 - 0.324842i) q^{5} +0.180631 q^{6} +2.83831 q^{7} +(1.42970 - 1.79279i) q^{8} +(2.63075 - 1.26690i) q^{9} +O(q^{10})\) \(q+(0.142029 - 0.622270i) q^{2} +(0.0629732 + 0.275904i) q^{3} +(1.43489 + 0.691006i) q^{4} +(0.259053 - 0.324842i) q^{5} +0.180631 q^{6} +2.83831 q^{7} +(1.42970 - 1.79279i) q^{8} +(2.63075 - 1.26690i) q^{9} +(-0.165347 - 0.207338i) q^{10} +(0.350875 - 0.168972i) q^{11} +(-0.100292 + 0.439406i) q^{12} +(-1.30035 + 1.63058i) q^{13} +(0.403123 - 1.76620i) q^{14} +(0.105939 + 0.0510173i) q^{15} +(1.07341 + 1.34601i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-0.414713 - 1.81697i) q^{18} +(-7.42843 - 3.57734i) q^{19} +(0.596181 - 0.287106i) q^{20} +(0.178737 + 0.783100i) q^{21} +(-0.0553121 - 0.242338i) q^{22} +(-5.92241 + 2.85208i) q^{23} +(0.584670 + 0.281562i) q^{24} +(1.07419 + 4.70634i) q^{25} +(0.829977 + 1.04076i) q^{26} +(1.04455 + 1.30982i) q^{27} +(4.07266 + 1.96129i) q^{28} +(1.01388 - 4.44209i) q^{29} +(0.0467929 - 0.0586765i) q^{30} +(0.812814 - 3.56117i) q^{31} +(5.12200 - 2.46662i) q^{32} +(0.0687158 + 0.0861669i) q^{33} +(0.575064 - 0.276936i) q^{34} +(0.735273 - 0.922003i) q^{35} +4.65027 q^{36} +4.74895 q^{37} +(-3.28113 + 4.11441i) q^{38} +(-0.531771 - 0.256087i) q^{39} +(-0.212005 - 0.928856i) q^{40} +(0.229300 - 1.00463i) q^{41} +0.512686 q^{42} +(6.16207 + 2.24252i) q^{43} +0.620227 q^{44} +(0.269960 - 1.18277i) q^{45} +(0.933612 + 4.09042i) q^{46} +(-6.72581 - 3.23898i) q^{47} +(-0.303773 + 0.380920i) q^{48} +1.05600 q^{49} +3.08118 q^{50} +(-0.176447 + 0.221258i) q^{51} +(-2.99260 + 1.44116i) q^{52} +(-3.50566 - 4.39596i) q^{53} +(0.963422 - 0.463960i) q^{54} +(0.0360058 - 0.157752i) q^{55} +(4.05794 - 5.08849i) q^{56} +(0.519210 - 2.27481i) q^{57} +(-2.62018 - 1.26181i) q^{58} +(4.84771 + 6.07883i) q^{59} +(0.116757 + 0.146408i) q^{60} +(2.69247 + 11.7965i) q^{61} +(-2.10057 - 1.01158i) q^{62} +(7.46688 - 3.59586i) q^{63} +(-0.0412446 - 0.180704i) q^{64} +(0.192824 + 0.844816i) q^{65} +(0.0633787 - 0.0305216i) q^{66} +(-0.511174 - 0.246168i) q^{67} +(0.354388 + 1.55268i) q^{68} +(-1.15985 - 1.45441i) q^{69} +(-0.469305 - 0.588490i) q^{70} +(8.30076 + 3.99744i) q^{71} +(1.48990 - 6.52768i) q^{72} +(-8.02132 + 10.0584i) q^{73} +(0.674490 - 2.95513i) q^{74} +(-1.23085 + 0.592746i) q^{75} +(-8.18701 - 10.2662i) q^{76} +(0.995891 - 0.479596i) q^{77} +(-0.234883 + 0.294533i) q^{78} -9.09336 q^{79} +0.715311 q^{80} +(5.16600 - 6.47796i) q^{81} +(-0.592582 - 0.285373i) q^{82} +(-3.21787 - 14.0984i) q^{83} +(-0.284658 + 1.24717i) q^{84} +0.415489 q^{85} +(2.27065 - 3.51597i) q^{86} +1.28944 q^{87} +(0.198714 - 0.870625i) q^{88} +(-2.65826 - 11.6466i) q^{89} +(-0.697663 - 0.335977i) q^{90} +(-3.69079 + 4.62810i) q^{91} -10.4688 q^{92} +1.03372 q^{93} +(-2.97078 + 3.72524i) q^{94} +(-3.08643 + 1.48635i) q^{95} +(1.00310 + 1.25785i) q^{96} +(-1.70326 + 0.820249i) q^{97} +(0.149982 - 0.657115i) q^{98} +(0.708992 - 0.889048i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142029 0.622270i 0.100430 0.440012i −0.899565 0.436787i \(-0.856116\pi\)
0.999995 0.00322474i \(-0.00102647\pi\)
\(3\) 0.0629732 + 0.275904i 0.0363576 + 0.159293i 0.989848 0.142131i \(-0.0453953\pi\)
−0.953490 + 0.301424i \(0.902538\pi\)
\(4\) 1.43489 + 0.691006i 0.717445 + 0.345503i
\(5\) 0.259053 0.324842i 0.115852 0.145274i −0.720524 0.693430i \(-0.756099\pi\)
0.836376 + 0.548156i \(0.184670\pi\)
\(6\) 0.180631 0.0737422
\(7\) 2.83831 1.07278 0.536390 0.843970i \(-0.319788\pi\)
0.536390 + 0.843970i \(0.319788\pi\)
\(8\) 1.42970 1.79279i 0.505476 0.633847i
\(9\) 2.63075 1.26690i 0.876916 0.422301i
\(10\) −0.165347 0.207338i −0.0522872 0.0655661i
\(11\) 0.350875 0.168972i 0.105793 0.0509471i −0.380239 0.924888i \(-0.624158\pi\)
0.486032 + 0.873941i \(0.338444\pi\)
\(12\) −0.100292 + 0.439406i −0.0289517 + 0.126846i
\(13\) −1.30035 + 1.63058i −0.360651 + 0.452243i −0.928744 0.370722i \(-0.879110\pi\)
0.568092 + 0.822965i \(0.307682\pi\)
\(14\) 0.403123 1.76620i 0.107739 0.472036i
\(15\) 0.105939 + 0.0510173i 0.0273532 + 0.0131726i
\(16\) 1.07341 + 1.34601i 0.268352 + 0.336503i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −0.414713 1.81697i −0.0977487 0.428265i
\(19\) −7.42843 3.57734i −1.70420 0.820699i −0.993055 0.117653i \(-0.962463\pi\)
−0.711144 0.703046i \(-0.751823\pi\)
\(20\) 0.596181 0.287106i 0.133310 0.0641987i
\(21\) 0.178737 + 0.783100i 0.0390037 + 0.170886i
\(22\) −0.0553121 0.242338i −0.0117926 0.0516666i
\(23\) −5.92241 + 2.85208i −1.23491 + 0.594700i −0.933425 0.358771i \(-0.883196\pi\)
−0.301482 + 0.953472i \(0.597481\pi\)
\(24\) 0.584670 + 0.281562i 0.119345 + 0.0574737i
\(25\) 1.07419 + 4.70634i 0.214838 + 0.941267i
\(26\) 0.829977 + 1.04076i 0.162772 + 0.204109i
\(27\) 1.04455 + 1.30982i 0.201024 + 0.252076i
\(28\) 4.07266 + 1.96129i 0.769660 + 0.370649i
\(29\) 1.01388 4.44209i 0.188273 0.824876i −0.789255 0.614066i \(-0.789533\pi\)
0.977527 0.210810i \(-0.0676101\pi\)
\(30\) 0.0467929 0.0586765i 0.00854318 0.0107128i
\(31\) 0.812814 3.56117i 0.145986 0.639605i −0.847991 0.530011i \(-0.822188\pi\)
0.993976 0.109594i \(-0.0349550\pi\)
\(32\) 5.12200 2.46662i 0.905450 0.436042i
\(33\) 0.0687158 + 0.0861669i 0.0119619 + 0.0149997i
\(34\) 0.575064 0.276936i 0.0986227 0.0474942i
\(35\) 0.735273 0.922003i 0.124284 0.155847i
\(36\) 4.65027 0.775045
\(37\) 4.74895 0.780723 0.390362 0.920662i \(-0.372350\pi\)
0.390362 + 0.920662i \(0.372350\pi\)
\(38\) −3.28113 + 4.11441i −0.532269 + 0.667445i
\(39\) −0.531771 0.256087i −0.0851515 0.0410068i
\(40\) −0.212005 0.928856i −0.0335210 0.146865i
\(41\) 0.229300 1.00463i 0.0358106 0.156896i −0.953861 0.300248i \(-0.902931\pi\)
0.989672 + 0.143351i \(0.0457879\pi\)
\(42\) 0.512686 0.0791091
\(43\) 6.16207 + 2.24252i 0.939707 + 0.341981i
\(44\) 0.620227 0.0935028
\(45\) 0.269960 1.18277i 0.0402433 0.176317i
\(46\) 0.933612 + 4.09042i 0.137654 + 0.603099i
\(47\) −6.72581 3.23898i −0.981060 0.472454i −0.126591 0.991955i \(-0.540403\pi\)
−0.854470 + 0.519501i \(0.826118\pi\)
\(48\) −0.303773 + 0.380920i −0.0438459 + 0.0549810i
\(49\) 1.05600 0.150856
\(50\) 3.08118 0.435745
\(51\) −0.176447 + 0.221258i −0.0247075 + 0.0309822i
\(52\) −2.99260 + 1.44116i −0.414999 + 0.199853i
\(53\) −3.50566 4.39596i −0.481540 0.603831i 0.480415 0.877041i \(-0.340486\pi\)
−0.961954 + 0.273210i \(0.911915\pi\)
\(54\) 0.963422 0.463960i 0.131105 0.0631369i
\(55\) 0.0360058 0.157752i 0.00485502 0.0212712i
\(56\) 4.05794 5.08849i 0.542265 0.679978i
\(57\) 0.519210 2.27481i 0.0687711 0.301306i
\(58\) −2.62018 1.26181i −0.344047 0.165684i
\(59\) 4.84771 + 6.07883i 0.631118 + 0.791397i 0.989861 0.142040i \(-0.0453661\pi\)
−0.358743 + 0.933436i \(0.616795\pi\)
\(60\) 0.116757 + 0.146408i 0.0150732 + 0.0189013i
\(61\) 2.69247 + 11.7965i 0.344736 + 1.51039i 0.788945 + 0.614464i \(0.210628\pi\)
−0.444209 + 0.895923i \(0.646515\pi\)
\(62\) −2.10057 1.01158i −0.266772 0.128471i
\(63\) 7.46688 3.59586i 0.940738 0.453036i
\(64\) −0.0412446 0.180704i −0.00515557 0.0225880i
\(65\) 0.192824 + 0.844816i 0.0239168 + 0.104786i
\(66\) 0.0633787 0.0305216i 0.00780138 0.00375695i
\(67\) −0.511174 0.246168i −0.0624498 0.0300742i 0.402398 0.915465i \(-0.368177\pi\)
−0.464848 + 0.885391i \(0.653891\pi\)
\(68\) 0.354388 + 1.55268i 0.0429759 + 0.188290i
\(69\) −1.15985 1.45441i −0.139630 0.175090i
\(70\) −0.469305 0.588490i −0.0560927 0.0703380i
\(71\) 8.30076 + 3.99744i 0.985119 + 0.474408i 0.855863 0.517203i \(-0.173027\pi\)
0.129256 + 0.991611i \(0.458741\pi\)
\(72\) 1.48990 6.52768i 0.175586 0.769294i
\(73\) −8.02132 + 10.0584i −0.938825 + 1.17725i 0.0451569 + 0.998980i \(0.485621\pi\)
−0.983982 + 0.178269i \(0.942950\pi\)
\(74\) 0.674490 2.95513i 0.0784078 0.343527i
\(75\) −1.23085 + 0.592746i −0.142126 + 0.0684444i
\(76\) −8.18701 10.2662i −0.939115 1.17761i
\(77\) 0.995891 0.479596i 0.113492 0.0546550i
\(78\) −0.234883 + 0.294533i −0.0265952 + 0.0333494i
\(79\) −9.09336 −1.02308 −0.511541 0.859259i \(-0.670925\pi\)
−0.511541 + 0.859259i \(0.670925\pi\)
\(80\) 0.715311 0.0799742
\(81\) 5.16600 6.47796i 0.574000 0.719773i
\(82\) −0.592582 0.285373i −0.0654398 0.0315141i
\(83\) −3.21787 14.0984i −0.353207 1.54750i −0.769726 0.638374i \(-0.779607\pi\)
0.416519 0.909127i \(-0.363250\pi\)
\(84\) −0.284658 + 1.24717i −0.0310588 + 0.136077i
\(85\) 0.415489 0.0450661
\(86\) 2.27065 3.51597i 0.244850 0.379137i
\(87\) 1.28944 0.138242
\(88\) 0.198714 0.870625i 0.0211830 0.0928089i
\(89\) −2.65826 11.6466i −0.281775 1.23454i −0.895515 0.445031i \(-0.853193\pi\)
0.613740 0.789508i \(-0.289664\pi\)
\(90\) −0.697663 0.335977i −0.0735401 0.0354151i
\(91\) −3.69079 + 4.62810i −0.386900 + 0.485157i
\(92\) −10.4688 −1.09145
\(93\) 1.03372 0.107192
\(94\) −2.97078 + 3.72524i −0.306413 + 0.384229i
\(95\) −3.08643 + 1.48635i −0.316661 + 0.152496i
\(96\) 1.00310 + 1.25785i 0.102378 + 0.128378i
\(97\) −1.70326 + 0.820249i −0.172940 + 0.0832836i −0.518351 0.855168i \(-0.673454\pi\)
0.345411 + 0.938452i \(0.387740\pi\)
\(98\) 0.149982 0.657115i 0.0151505 0.0663786i
\(99\) 0.708992 0.889048i 0.0712564 0.0893527i
\(100\) −1.71076 + 7.49535i −0.171076 + 0.749535i
\(101\) −14.7620 7.10900i −1.46887 0.707372i −0.483118 0.875555i \(-0.660496\pi\)
−0.985756 + 0.168183i \(0.946210\pi\)
\(102\) 0.112621 + 0.141223i 0.0111512 + 0.0139831i
\(103\) 4.69718 + 5.89008i 0.462827 + 0.580367i 0.957398 0.288770i \(-0.0932463\pi\)
−0.494571 + 0.869137i \(0.664675\pi\)
\(104\) 1.06419 + 4.66250i 0.104352 + 0.457196i
\(105\) 0.300686 + 0.144803i 0.0293440 + 0.0141313i
\(106\) −3.23338 + 1.55711i −0.314054 + 0.151240i
\(107\) −1.45138 6.35891i −0.140310 0.614739i −0.995362 0.0961970i \(-0.969332\pi\)
0.855052 0.518542i \(-0.173525\pi\)
\(108\) 0.593717 + 2.60125i 0.0571305 + 0.250305i
\(109\) −7.39976 + 3.56354i −0.708769 + 0.341325i −0.753295 0.657683i \(-0.771537\pi\)
0.0445258 + 0.999008i \(0.485822\pi\)
\(110\) −0.0930504 0.0448107i −0.00887201 0.00427253i
\(111\) 0.299057 + 1.31025i 0.0283852 + 0.124364i
\(112\) 3.04666 + 3.82039i 0.287883 + 0.360993i
\(113\) 5.96110 + 7.47498i 0.560773 + 0.703187i 0.978700 0.205294i \(-0.0658149\pi\)
−0.417928 + 0.908480i \(0.637243\pi\)
\(114\) −1.34180 0.646178i −0.125671 0.0605201i
\(115\) −0.607742 + 2.66269i −0.0566722 + 0.248297i
\(116\) 4.52432 5.67332i 0.420072 0.526754i
\(117\) −1.35510 + 5.93707i −0.125279 + 0.548882i
\(118\) 4.47119 2.15321i 0.411607 0.198219i
\(119\) 1.76966 + 2.21908i 0.162224 + 0.203423i
\(120\) 0.242924 0.116986i 0.0221758 0.0106793i
\(121\) −6.76383 + 8.48157i −0.614893 + 0.771052i
\(122\) 7.72302 0.699210
\(123\) 0.291620 0.0262945
\(124\) 3.62709 4.54823i 0.325722 0.408443i
\(125\) 3.67880 + 1.77162i 0.329042 + 0.158458i
\(126\) −1.17708 5.15713i −0.104863 0.459434i
\(127\) −0.822501 + 3.60361i −0.0729851 + 0.319769i −0.998221 0.0596238i \(-0.981010\pi\)
0.925236 + 0.379393i \(0.123867\pi\)
\(128\) 11.2517 0.994517
\(129\) −0.230674 + 1.84136i −0.0203097 + 0.162122i
\(130\) 0.553090 0.0485092
\(131\) −1.89902 + 8.32013i −0.165918 + 0.726933i 0.821683 + 0.569945i \(0.193036\pi\)
−0.987600 + 0.156988i \(0.949822\pi\)
\(132\) 0.0390577 + 0.171123i 0.00339954 + 0.0148943i
\(133\) −21.0842 10.1536i −1.82823 0.880429i
\(134\) −0.225785 + 0.283125i −0.0195048 + 0.0244583i
\(135\) 0.696081 0.0599091
\(136\) 2.29307 0.196629
\(137\) 3.70463 4.64546i 0.316508 0.396888i −0.597974 0.801516i \(-0.704027\pi\)
0.914482 + 0.404627i \(0.132599\pi\)
\(138\) −1.06977 + 0.515174i −0.0910648 + 0.0438545i
\(139\) −4.95619 6.21487i −0.420379 0.527139i 0.525876 0.850562i \(-0.323738\pi\)
−0.946254 + 0.323423i \(0.895166\pi\)
\(140\) 1.69214 0.814894i 0.143012 0.0688711i
\(141\) 0.470100 2.05964i 0.0395896 0.173453i
\(142\) 3.66644 4.59757i 0.307681 0.385819i
\(143\) −0.180735 + 0.791853i −0.0151139 + 0.0662181i
\(144\) 4.52913 + 2.18111i 0.377428 + 0.181760i
\(145\) −1.18033 1.48009i −0.0980212 0.122915i
\(146\) 5.11980 + 6.42002i 0.423717 + 0.531325i
\(147\) 0.0664994 + 0.291353i 0.00548478 + 0.0240304i
\(148\) 6.81422 + 3.28156i 0.560126 + 0.269742i
\(149\) −13.5173 + 6.50957i −1.10738 + 0.533285i −0.895971 0.444113i \(-0.853519\pi\)
−0.211407 + 0.977398i \(0.567804\pi\)
\(150\) 0.194032 + 0.850109i 0.0158426 + 0.0694111i
\(151\) −4.16855 18.2636i −0.339232 1.48627i −0.800674 0.599100i \(-0.795525\pi\)
0.461442 0.887170i \(-0.347332\pi\)
\(152\) −17.0339 + 8.20308i −1.38163 + 0.665358i
\(153\) 2.63075 + 1.26690i 0.212683 + 0.102423i
\(154\) −0.156993 0.687830i −0.0126508 0.0554269i
\(155\) −0.946257 1.18657i −0.0760052 0.0953075i
\(156\) −0.586075 0.734914i −0.0469235 0.0588402i
\(157\) 5.83458 + 2.80978i 0.465650 + 0.224245i 0.651971 0.758244i \(-0.273942\pi\)
−0.186321 + 0.982489i \(0.559657\pi\)
\(158\) −1.29152 + 5.65853i −0.102748 + 0.450168i
\(159\) 0.992098 1.24405i 0.0786785 0.0986597i
\(160\) 0.525606 2.30283i 0.0415528 0.182055i
\(161\) −16.8096 + 8.09509i −1.32478 + 0.637982i
\(162\) −3.29732 4.13471i −0.259062 0.324853i
\(163\) 10.6334 5.12079i 0.832874 0.401091i 0.0316820 0.999498i \(-0.489914\pi\)
0.801192 + 0.598407i \(0.204199\pi\)
\(164\) 1.02322 1.28308i 0.0799003 0.100192i
\(165\) 0.0457917 0.00356488
\(166\) −9.23005 −0.716391
\(167\) −0.603659 + 0.756964i −0.0467125 + 0.0585757i −0.804639 0.593764i \(-0.797641\pi\)
0.757926 + 0.652340i \(0.226213\pi\)
\(168\) 1.65947 + 0.799161i 0.128031 + 0.0616566i
\(169\) 1.92487 + 8.43341i 0.148067 + 0.648724i
\(170\) 0.0590115 0.258546i 0.00452598 0.0198296i
\(171\) −24.0745 −1.84102
\(172\) 7.29230 + 7.47580i 0.556032 + 0.570024i
\(173\) 14.8305 1.12754 0.563770 0.825932i \(-0.309350\pi\)
0.563770 + 0.825932i \(0.309350\pi\)
\(174\) 0.183138 0.802378i 0.0138836 0.0608281i
\(175\) 3.04888 + 13.3580i 0.230474 + 1.00977i
\(176\) 0.604070 + 0.290905i 0.0455335 + 0.0219278i
\(177\) −1.37190 + 1.72030i −0.103118 + 0.129306i
\(178\) −7.62490 −0.571510
\(179\) −18.6070 −1.39075 −0.695375 0.718647i \(-0.744762\pi\)
−0.695375 + 0.718647i \(0.744762\pi\)
\(180\) 1.20467 1.51061i 0.0897906 0.112594i
\(181\) −11.9238 + 5.74221i −0.886290 + 0.426815i −0.820918 0.571046i \(-0.806538\pi\)
−0.0653721 + 0.997861i \(0.520823\pi\)
\(182\) 2.35573 + 2.95399i 0.174618 + 0.218965i
\(183\) −3.08514 + 1.48573i −0.228060 + 0.109828i
\(184\) −3.35410 + 14.6953i −0.247268 + 1.08335i
\(185\) 1.23023 1.54266i 0.0904484 0.113419i
\(186\) 0.146819 0.643256i 0.0107653 0.0471658i
\(187\) 0.350875 + 0.168972i 0.0256585 + 0.0123565i
\(188\) −7.41264 9.29516i −0.540622 0.677919i
\(189\) 2.96476 + 3.71769i 0.215654 + 0.270422i
\(190\) 0.486546 + 2.13170i 0.0352978 + 0.154650i
\(191\) 7.49593 + 3.60985i 0.542386 + 0.261200i 0.684955 0.728585i \(-0.259822\pi\)
−0.142569 + 0.989785i \(0.545536\pi\)
\(192\) 0.0472597 0.0227591i 0.00341067 0.00164249i
\(193\) 5.66560 + 24.8226i 0.407818 + 1.78677i 0.594227 + 0.804297i \(0.297458\pi\)
−0.186409 + 0.982472i \(0.559685\pi\)
\(194\) 0.268503 + 1.17639i 0.0192774 + 0.0844599i
\(195\) −0.220945 + 0.106401i −0.0158222 + 0.00761957i
\(196\) 1.51524 + 0.729700i 0.108231 + 0.0521214i
\(197\) −3.39994 14.8961i −0.242236 1.06131i −0.938976 0.343982i \(-0.888224\pi\)
0.696740 0.717324i \(-0.254633\pi\)
\(198\) −0.452531 0.567455i −0.0321599 0.0403273i
\(199\) −6.98394 8.75759i −0.495079 0.620809i 0.470033 0.882649i \(-0.344242\pi\)
−0.965111 + 0.261840i \(0.915671\pi\)
\(200\) 9.97325 + 4.80286i 0.705215 + 0.339614i
\(201\) 0.0357285 0.156537i 0.00252009 0.0110412i
\(202\) −6.52036 + 8.17627i −0.458771 + 0.575280i
\(203\) 2.87770 12.6080i 0.201975 0.884910i
\(204\) −0.406072 + 0.195554i −0.0284307 + 0.0136915i
\(205\) −0.266945 0.334738i −0.0186442 0.0233791i
\(206\) 4.33236 2.08636i 0.301850 0.145363i
\(207\) −11.9671 + 15.0062i −0.831769 + 1.04301i
\(208\) −3.59059 −0.248962
\(209\) −3.21092 −0.222104
\(210\) 0.132813 0.166542i 0.00916495 0.0114925i
\(211\) −22.3295 10.7533i −1.53722 0.740288i −0.542230 0.840230i \(-0.682420\pi\)
−0.994993 + 0.0999427i \(0.968134\pi\)
\(212\) −1.99260 8.73015i −0.136852 0.599589i
\(213\) −0.580182 + 2.54194i −0.0397534 + 0.174171i
\(214\) −4.16310 −0.284584
\(215\) 2.32477 1.42077i 0.158548 0.0968957i
\(216\) 3.84164 0.261390
\(217\) 2.30702 10.1077i 0.156610 0.686155i
\(218\) 1.16650 + 5.11078i 0.0790055 + 0.346146i
\(219\) −3.28028 1.57970i −0.221661 0.106746i
\(220\) 0.160672 0.201476i 0.0108325 0.0135835i
\(221\) −2.08560 −0.140292
\(222\) 0.857807 0.0575722
\(223\) 2.53031 3.17290i 0.169442 0.212473i −0.689859 0.723944i \(-0.742328\pi\)
0.859301 + 0.511470i \(0.170899\pi\)
\(224\) 14.5378 7.00104i 0.971348 0.467777i
\(225\) 8.78839 + 11.0203i 0.585893 + 0.734687i
\(226\) 5.49811 2.64775i 0.365729 0.176126i
\(227\) −2.40568 + 10.5400i −0.159671 + 0.699563i 0.830185 + 0.557488i \(0.188235\pi\)
−0.989856 + 0.142075i \(0.954623\pi\)
\(228\) 2.31692 2.90532i 0.153442 0.192410i
\(229\) 5.50448 24.1167i 0.363747 1.59368i −0.379849 0.925048i \(-0.624024\pi\)
0.743596 0.668629i \(-0.233119\pi\)
\(230\) 1.57060 + 0.756359i 0.103562 + 0.0498729i
\(231\) 0.195037 + 0.244568i 0.0128325 + 0.0160914i
\(232\) −6.51420 8.16855i −0.427678 0.536291i
\(233\) 2.12913 + 9.32834i 0.139484 + 0.611120i 0.995549 + 0.0942506i \(0.0300455\pi\)
−0.856064 + 0.516869i \(0.827097\pi\)
\(234\) 3.50200 + 1.68647i 0.228933 + 0.110248i
\(235\) −2.79450 + 1.34576i −0.182293 + 0.0877877i
\(236\) 2.75541 + 12.0723i 0.179362 + 0.785837i
\(237\) −0.572638 2.50889i −0.0371968 0.162970i
\(238\) 1.63221 0.786031i 0.105800 0.0509508i
\(239\) −0.646629 0.311400i −0.0418270 0.0201428i 0.412853 0.910798i \(-0.364532\pi\)
−0.454680 + 0.890655i \(0.650246\pi\)
\(240\) 0.0450454 + 0.197357i 0.00290767 + 0.0127393i
\(241\) 12.0952 + 15.1668i 0.779118 + 0.976982i 0.999999 + 0.00168174i \(0.000535314\pi\)
−0.220881 + 0.975301i \(0.570893\pi\)
\(242\) 4.31717 + 5.41356i 0.277518 + 0.347997i
\(243\) 6.64087 + 3.19807i 0.426012 + 0.205157i
\(244\) −4.28805 + 18.7872i −0.274515 + 1.20273i
\(245\) 0.273559 0.343032i 0.0174770 0.0219155i
\(246\) 0.0414185 0.181466i 0.00264075 0.0115699i
\(247\) 15.4927 7.46089i 0.985777 0.474725i
\(248\) −5.22235 6.54862i −0.331619 0.415838i
\(249\) 3.68716 1.77564i 0.233664 0.112527i
\(250\) 1.62492 2.03759i 0.102769 0.128868i
\(251\) −28.6661 −1.80939 −0.904695 0.426060i \(-0.859901\pi\)
−0.904695 + 0.426060i \(0.859901\pi\)
\(252\) 13.1989 0.831453
\(253\) −1.59610 + 2.00145i −0.100346 + 0.125830i
\(254\) 2.12560 + 1.02364i 0.133372 + 0.0642286i
\(255\) 0.0261647 + 0.114635i 0.00163850 + 0.00717872i
\(256\) 1.68055 7.36299i 0.105035 0.460187i
\(257\) −8.86051 −0.552703 −0.276352 0.961057i \(-0.589125\pi\)
−0.276352 + 0.961057i \(0.589125\pi\)
\(258\) 1.11306 + 0.405068i 0.0692960 + 0.0252184i
\(259\) 13.4790 0.837544
\(260\) −0.307092 + 1.34546i −0.0190451 + 0.0834419i
\(261\) −2.96044 12.9705i −0.183246 0.802855i
\(262\) 4.90766 + 2.36340i 0.303196 + 0.146012i
\(263\) −1.86745 + 2.34170i −0.115152 + 0.144396i −0.836067 0.548628i \(-0.815150\pi\)
0.720915 + 0.693024i \(0.243722\pi\)
\(264\) 0.252722 0.0155540
\(265\) −2.33615 −0.143508
\(266\) −9.31286 + 11.6780i −0.571008 + 0.716021i
\(267\) 3.04594 1.46685i 0.186409 0.0897697i
\(268\) −0.563374 0.706449i −0.0344135 0.0431532i
\(269\) 20.8966 10.0633i 1.27409 0.613567i 0.330222 0.943903i \(-0.392876\pi\)
0.943863 + 0.330336i \(0.107162\pi\)
\(270\) 0.0988637 0.433150i 0.00601666 0.0263607i
\(271\) −4.66841 + 5.85400i −0.283585 + 0.355605i −0.903138 0.429350i \(-0.858743\pi\)
0.619553 + 0.784955i \(0.287314\pi\)
\(272\) −0.383095 + 1.67845i −0.0232285 + 0.101771i
\(273\) −1.50933 0.726855i −0.0913488 0.0439913i
\(274\) −2.36457 2.96507i −0.142849 0.179127i
\(275\) 1.17215 + 1.46983i 0.0706831 + 0.0886338i
\(276\) −0.659255 2.88838i −0.0396825 0.173860i
\(277\) 18.0276 + 8.68162i 1.08317 + 0.521628i 0.888330 0.459206i \(-0.151866\pi\)
0.194843 + 0.980835i \(0.437580\pi\)
\(278\) −4.57125 + 2.20140i −0.274166 + 0.132031i
\(279\) −2.37334 10.3983i −0.142088 0.622530i
\(280\) −0.601736 2.63638i −0.0359606 0.157554i
\(281\) 16.2427 7.82206i 0.968957 0.466625i 0.118664 0.992934i \(-0.462139\pi\)
0.850293 + 0.526309i \(0.176425\pi\)
\(282\) −1.21489 0.585059i −0.0723455 0.0348398i
\(283\) −4.35129 19.0642i −0.258657 1.13325i −0.922688 0.385547i \(-0.874013\pi\)
0.664031 0.747705i \(-0.268844\pi\)
\(284\) 9.14842 + 11.4718i 0.542859 + 0.680724i
\(285\) −0.604451 0.757958i −0.0358046 0.0448975i
\(286\) 0.467077 + 0.224933i 0.0276189 + 0.0133005i
\(287\) 0.650823 2.85144i 0.0384169 0.168315i
\(288\) 10.3497 12.9781i 0.609863 0.764744i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −1.08866 + 0.524270i −0.0639281 + 0.0307862i
\(291\) −0.333569 0.418283i −0.0195542 0.0245202i
\(292\) −18.4601 + 8.88994i −1.08030 + 0.520244i
\(293\) 0.175035 0.219487i 0.0102257 0.0128226i −0.776692 0.629880i \(-0.783104\pi\)
0.786918 + 0.617058i \(0.211675\pi\)
\(294\) 0.190745 0.0111245
\(295\) 3.23048 0.188086
\(296\) 6.78959 8.51388i 0.394637 0.494859i
\(297\) 0.587831 + 0.283084i 0.0341094 + 0.0164262i
\(298\) 2.13087 + 9.33594i 0.123438 + 0.540817i
\(299\) 3.05063 13.3657i 0.176423 0.772958i
\(300\) −2.17573 −0.125616
\(301\) 17.4899 + 6.36496i 1.00810 + 0.366870i
\(302\) −11.9570 −0.688045
\(303\) 1.03179 4.52057i 0.0592748 0.259700i
\(304\) −3.15859 13.8387i −0.181158 0.793704i
\(305\) 4.52950 + 2.18129i 0.259358 + 0.124900i
\(306\) 1.16200 1.45710i 0.0664271 0.0832969i
\(307\) −12.1849 −0.695426 −0.347713 0.937601i \(-0.613042\pi\)
−0.347713 + 0.937601i \(0.613042\pi\)
\(308\) 1.76040 0.100308
\(309\) −1.32930 + 1.66689i −0.0756211 + 0.0948259i
\(310\) −0.872762 + 0.420300i −0.0495696 + 0.0238714i
\(311\) 15.6503 + 19.6249i 0.887448 + 1.11283i 0.992965 + 0.118408i \(0.0377789\pi\)
−0.105517 + 0.994418i \(0.533650\pi\)
\(312\) −1.21939 + 0.587225i −0.0690341 + 0.0332451i
\(313\) 3.27353 14.3423i 0.185031 0.810672i −0.794157 0.607713i \(-0.792087\pi\)
0.979187 0.202959i \(-0.0650558\pi\)
\(314\) 2.57713 3.23161i 0.145436 0.182370i
\(315\) 0.766231 3.35708i 0.0431722 0.189150i
\(316\) −13.0480 6.28357i −0.734005 0.353478i
\(317\) −3.43769 4.31072i −0.193080 0.242114i 0.675863 0.737028i \(-0.263771\pi\)
−0.868942 + 0.494913i \(0.835200\pi\)
\(318\) −0.633230 0.794045i −0.0355098 0.0445278i
\(319\) −0.394847 1.72994i −0.0221072 0.0968578i
\(320\) −0.0693849 0.0334140i −0.00387874 0.00186790i
\(321\) 1.66305 0.800882i 0.0928223 0.0447009i
\(322\) 2.64988 + 11.6099i 0.147672 + 0.646993i
\(323\) −1.83467 8.03822i −0.102084 0.447259i
\(324\) 11.8889 5.72542i 0.660497 0.318079i
\(325\) −9.07090 4.36831i −0.503163 0.242310i
\(326\) −1.67626 7.34417i −0.0928394 0.406756i
\(327\) −1.44918 1.81721i −0.0801398 0.100492i
\(328\) −1.47326 1.84740i −0.0813469 0.102006i
\(329\) −19.0899 9.19322i −1.05246 0.506839i
\(330\) 0.00650375 0.0284948i 0.000358020 0.00156859i
\(331\) −11.2454 + 14.1013i −0.618106 + 0.775080i −0.988077 0.153963i \(-0.950796\pi\)
0.369971 + 0.929043i \(0.379368\pi\)
\(332\) 5.12480 22.4532i 0.281260 1.23228i
\(333\) 12.4933 6.01646i 0.684629 0.329700i
\(334\) 0.385299 + 0.483150i 0.0210826 + 0.0264368i
\(335\) −0.212387 + 0.102280i −0.0116039 + 0.00558816i
\(336\) −0.862202 + 1.08117i −0.0470370 + 0.0589825i
\(337\) 29.9266 1.63020 0.815102 0.579318i \(-0.196681\pi\)
0.815102 + 0.579318i \(0.196681\pi\)
\(338\) 5.52125 0.300316
\(339\) −1.68698 + 2.11541i −0.0916244 + 0.114893i
\(340\) 0.596181 + 0.287106i 0.0323324 + 0.0155705i
\(341\) −0.316543 1.38687i −0.0171418 0.0751031i
\(342\) −3.41928 + 14.9808i −0.184893 + 0.810071i
\(343\) −16.8709 −0.910944
\(344\) 12.8303 7.84116i 0.691763 0.422767i
\(345\) −0.772917 −0.0416125
\(346\) 2.10636 9.22857i 0.113239 0.496131i
\(347\) −4.63783 20.3197i −0.248972 1.09082i −0.932579 0.360967i \(-0.882447\pi\)
0.683607 0.729851i \(-0.260410\pi\)
\(348\) 1.85020 + 0.891009i 0.0991811 + 0.0477631i
\(349\) 7.36076 9.23010i 0.394013 0.494076i −0.544770 0.838585i \(-0.683383\pi\)
0.938783 + 0.344509i \(0.111955\pi\)
\(350\) 8.74534 0.467458
\(351\) −3.49406 −0.186499
\(352\) 1.38039 1.73095i 0.0735749 0.0922601i
\(353\) −7.63062 + 3.67471i −0.406137 + 0.195585i −0.625788 0.779993i \(-0.715222\pi\)
0.219651 + 0.975578i \(0.429508\pi\)
\(354\) 0.875645 + 1.09802i 0.0465400 + 0.0583593i
\(355\) 3.44888 1.66089i 0.183047 0.0881509i
\(356\) 4.23357 18.5485i 0.224379 0.983068i
\(357\) −0.500811 + 0.627997i −0.0265057 + 0.0332371i
\(358\) −2.64273 + 11.5786i −0.139673 + 0.611946i
\(359\) −3.33177 1.60450i −0.175844 0.0846822i 0.343891 0.939010i \(-0.388255\pi\)
−0.519735 + 0.854328i \(0.673969\pi\)
\(360\) −1.73450 2.17500i −0.0914163 0.114632i
\(361\) 30.5379 + 38.2933i 1.60726 + 2.01544i
\(362\) 1.87968 + 8.23540i 0.0987936 + 0.432843i
\(363\) −2.76604 1.33205i −0.145179 0.0699146i
\(364\) −8.49392 + 4.09046i −0.445202 + 0.214398i
\(365\) 1.18945 + 5.21133i 0.0622588 + 0.272774i
\(366\) 0.486343 + 2.13081i 0.0254216 + 0.111379i
\(367\) 0.441128 0.212436i 0.0230267 0.0110891i −0.422335 0.906440i \(-0.638789\pi\)
0.445362 + 0.895351i \(0.353075\pi\)
\(368\) −10.1961 4.91018i −0.531508 0.255961i
\(369\) −0.669534 2.93342i −0.0348546 0.152708i
\(370\) −0.785224 0.984639i −0.0408218 0.0511890i
\(371\) −9.95015 12.4771i −0.516586 0.647778i
\(372\) 1.48328 + 0.714311i 0.0769045 + 0.0370353i
\(373\) 1.02703 4.49972i 0.0531777 0.232987i −0.941354 0.337420i \(-0.890446\pi\)
0.994532 + 0.104433i \(0.0333029\pi\)
\(374\) 0.154981 0.194340i 0.00801387 0.0100491i
\(375\) −0.257130 + 1.12656i −0.0132781 + 0.0581753i
\(376\) −15.4227 + 7.42719i −0.795366 + 0.383028i
\(377\) 5.92481 + 7.42948i 0.305143 + 0.382638i
\(378\) 2.73449 1.31686i 0.140647 0.0677320i
\(379\) 14.9656 18.7662i 0.768729 0.963956i −0.231231 0.972899i \(-0.574275\pi\)
0.999960 + 0.00894275i \(0.00284660\pi\)
\(380\) −5.45576 −0.279875
\(381\) −1.04604 −0.0535905
\(382\) 3.31094 4.15179i 0.169403 0.212424i
\(383\) 11.5892 + 5.58109i 0.592183 + 0.285180i 0.705876 0.708336i \(-0.250554\pi\)
−0.113693 + 0.993516i \(0.536268\pi\)
\(384\) 0.708554 + 3.10438i 0.0361582 + 0.158420i
\(385\) 0.102196 0.447748i 0.00520837 0.0228194i
\(386\) 16.2510 0.827156
\(387\) 19.0519 1.90723i 0.968463 0.0969501i
\(388\) −3.01079 −0.152850
\(389\) 1.48800 6.51936i 0.0754447 0.330545i −0.923095 0.384573i \(-0.874349\pi\)
0.998539 + 0.0540279i \(0.0172060\pi\)
\(390\) 0.0348299 + 0.152600i 0.00176368 + 0.00772718i
\(391\) −5.92241 2.85208i −0.299509 0.144236i
\(392\) 1.50976 1.89318i 0.0762544 0.0956200i
\(393\) −2.41514 −0.121828
\(394\) −9.75231 −0.491314
\(395\) −2.35566 + 2.95391i −0.118526 + 0.148627i
\(396\) 1.63166 0.785767i 0.0819941 0.0394863i
\(397\) 12.2123 + 15.3138i 0.612920 + 0.768577i 0.987329 0.158686i \(-0.0507258\pi\)
−0.374409 + 0.927264i \(0.622154\pi\)
\(398\) −6.44151 + 3.10207i −0.322884 + 0.155493i
\(399\) 1.47368 6.45661i 0.0737762 0.323235i
\(400\) −5.18174 + 6.49769i −0.259087 + 0.324885i
\(401\) −5.44769 + 23.8679i −0.272045 + 1.19191i 0.635551 + 0.772059i \(0.280773\pi\)
−0.907595 + 0.419846i \(0.862084\pi\)
\(402\) −0.0923337 0.0444655i −0.00460518 0.00221774i
\(403\) 4.74985 + 5.95612i 0.236607 + 0.296695i
\(404\) −16.2695 20.4013i −0.809436 1.01500i
\(405\) −0.766047 3.35627i −0.0380652 0.166774i
\(406\) −7.43689 3.58142i −0.369087 0.177743i
\(407\) 1.66629 0.802442i 0.0825948 0.0397756i
\(408\) 0.144402 + 0.632665i 0.00714895 + 0.0313216i
\(409\) −6.15741 26.9774i −0.304464 1.33394i −0.863310 0.504673i \(-0.831613\pi\)
0.558846 0.829271i \(-0.311244\pi\)
\(410\) −0.246211 + 0.118569i −0.0121595 + 0.00585571i
\(411\) 1.51499 + 0.729581i 0.0747290 + 0.0359876i
\(412\) 2.66986 + 11.6974i 0.131534 + 0.576290i
\(413\) 13.7593 + 17.2536i 0.677050 + 0.848994i
\(414\) 7.63826 + 9.57807i 0.375400 + 0.470737i
\(415\) −5.41336 2.60694i −0.265731 0.127969i
\(416\) −2.63834 + 11.5593i −0.129355 + 0.566742i
\(417\) 1.40260 1.75880i 0.0686855 0.0861289i
\(418\) −0.456044 + 1.99806i −0.0223059 + 0.0977284i
\(419\) −20.0918 + 9.67570i −0.981549 + 0.472689i −0.854638 0.519225i \(-0.826221\pi\)
−0.126911 + 0.991914i \(0.540506\pi\)
\(420\) 0.331392 + 0.415552i 0.0161703 + 0.0202769i
\(421\) 2.34738 1.13044i 0.114404 0.0550943i −0.375806 0.926698i \(-0.622634\pi\)
0.490211 + 0.871604i \(0.336920\pi\)
\(422\) −9.86289 + 12.3677i −0.480118 + 0.602049i
\(423\) −21.7974 −1.05983
\(424\) −12.8931 −0.626144
\(425\) −3.00982 + 3.77419i −0.145997 + 0.183075i
\(426\) 1.49937 + 0.722060i 0.0726448 + 0.0349839i
\(427\) 7.64207 + 33.4821i 0.369826 + 1.62031i
\(428\) 2.31148 10.1272i 0.111730 0.489519i
\(429\) −0.229857 −0.0110976
\(430\) −0.553918 1.64843i −0.0267123 0.0794941i
\(431\) 13.8662 0.667912 0.333956 0.942589i \(-0.391616\pi\)
0.333956 + 0.942589i \(0.391616\pi\)
\(432\) −0.641810 + 2.81195i −0.0308791 + 0.135290i
\(433\) −2.86568 12.5554i −0.137716 0.603373i −0.995934 0.0900875i \(-0.971285\pi\)
0.858218 0.513286i \(-0.171572\pi\)
\(434\) −5.96206 2.87118i −0.286188 0.137821i
\(435\) 0.334033 0.418864i 0.0160156 0.0200830i
\(436\) −13.0803 −0.626431
\(437\) 54.1971 2.59260
\(438\) −1.44890 + 1.81686i −0.0692310 + 0.0868129i
\(439\) −9.81838 + 4.72828i −0.468606 + 0.225669i −0.653258 0.757135i \(-0.726598\pi\)
0.184652 + 0.982804i \(0.440884\pi\)
\(440\) −0.231338 0.290089i −0.0110286 0.0138294i
\(441\) 2.77806 1.33784i 0.132289 0.0637068i
\(442\) −0.296215 + 1.29780i −0.0140895 + 0.0617302i
\(443\) 18.9792 23.7991i 0.901727 1.13073i −0.0891578 0.996018i \(-0.528418\pi\)
0.990885 0.134712i \(-0.0430110\pi\)
\(444\) −0.476280 + 2.08672i −0.0226032 + 0.0990313i
\(445\) −4.47195 2.15358i −0.211991 0.102089i
\(446\) −1.61503 2.02518i −0.0764737 0.0958950i
\(447\) −2.64724 3.31953i −0.125210 0.157009i
\(448\) −0.117065 0.512895i −0.00553079 0.0242320i
\(449\) 17.0383 + 8.20522i 0.804088 + 0.387228i 0.790333 0.612677i \(-0.209907\pi\)
0.0137544 + 0.999905i \(0.495622\pi\)
\(450\) 8.10581 3.90355i 0.382112 0.184015i
\(451\) −0.0892988 0.391243i −0.00420491 0.0184229i
\(452\) 3.38826 + 14.8449i 0.159370 + 0.698246i
\(453\) 4.77649 2.30023i 0.224419 0.108074i
\(454\) 6.21704 + 2.99397i 0.291780 + 0.140514i
\(455\) 0.547293 + 2.39785i 0.0256575 + 0.112413i
\(456\) −3.33594 4.18313i −0.156220 0.195893i
\(457\) 0.938818 + 1.17724i 0.0439161 + 0.0550690i 0.803305 0.595569i \(-0.203073\pi\)
−0.759388 + 0.650638i \(0.774502\pi\)
\(458\) −14.2253 6.85055i −0.664706 0.320105i
\(459\) −0.372796 + 1.63332i −0.0174006 + 0.0762371i
\(460\) −2.71198 + 3.40071i −0.126447 + 0.158559i
\(461\) 7.62624 33.4127i 0.355189 1.55619i −0.409820 0.912166i \(-0.634408\pi\)
0.765009 0.644019i \(-0.222734\pi\)
\(462\) 0.179888 0.0866297i 0.00836917 0.00403038i
\(463\) −8.36380 10.4879i −0.388699 0.487413i 0.548529 0.836132i \(-0.315188\pi\)
−0.937227 + 0.348719i \(0.886617\pi\)
\(464\) 7.06741 3.40349i 0.328096 0.158003i
\(465\) 0.267790 0.335798i 0.0124184 0.0155722i
\(466\) 6.10715 0.282908
\(467\) 10.0128 0.463336 0.231668 0.972795i \(-0.425582\pi\)
0.231668 + 0.972795i \(0.425582\pi\)
\(468\) −6.04697 + 7.58266i −0.279521 + 0.350509i
\(469\) −1.45087 0.698702i −0.0669949 0.0322630i
\(470\) 0.440526 + 1.93007i 0.0203200 + 0.0890276i
\(471\) −0.407808 + 1.78672i −0.0187908 + 0.0823278i
\(472\) 17.8289 0.820639
\(473\) 2.54104 0.254376i 0.116837 0.0116962i
\(474\) −1.64254 −0.0754443
\(475\) 8.85663 38.8035i 0.406370 1.78042i
\(476\) 1.00586 + 4.40698i 0.0461037 + 0.201993i
\(477\) −14.7918 7.12334i −0.677268 0.326155i
\(478\) −0.285615 + 0.358150i −0.0130637 + 0.0163814i
\(479\) 21.4823 0.981552 0.490776 0.871286i \(-0.336713\pi\)
0.490776 + 0.871286i \(0.336713\pi\)
\(480\) 0.668458 0.0305108
\(481\) −6.17529 + 7.74357i −0.281569 + 0.353076i
\(482\) 11.1557 5.37232i 0.508130 0.244703i
\(483\) −3.29202 4.12806i −0.149792 0.187833i
\(484\) −15.5662 + 7.49627i −0.707553 + 0.340740i
\(485\) −0.174784 + 0.765780i −0.00793655 + 0.0347723i
\(486\) 2.93326 3.67820i 0.133056 0.166846i
\(487\) 4.18799 18.3488i 0.189776 0.831463i −0.786958 0.617007i \(-0.788345\pi\)
0.976734 0.214456i \(-0.0687978\pi\)
\(488\) 24.9981 + 12.0384i 1.13161 + 0.544955i
\(489\) 2.08247 + 2.61133i 0.0941723 + 0.118088i
\(490\) −0.174605 0.218948i −0.00788786 0.00989107i
\(491\) −3.03740 13.3077i −0.137076 0.600570i −0.996069 0.0885821i \(-0.971766\pi\)
0.858993 0.511988i \(-0.171091\pi\)
\(492\) 0.418442 + 0.201511i 0.0188648 + 0.00908483i
\(493\) 4.10511 1.97692i 0.184885 0.0890359i
\(494\) −2.44228 10.7003i −0.109883 0.481430i
\(495\) −0.105134 0.460621i −0.00472541 0.0207034i
\(496\) 5.66585 2.72853i 0.254404 0.122515i
\(497\) 23.5601 + 11.3460i 1.05682 + 0.508936i
\(498\) −0.581246 2.54660i −0.0260462 0.114116i
\(499\) 15.4866 + 19.4196i 0.693276 + 0.869340i 0.996501 0.0835784i \(-0.0266349\pi\)
−0.303225 + 0.952919i \(0.598063\pi\)
\(500\) 4.05448 + 5.08415i 0.181322 + 0.227370i
\(501\) −0.246863 0.118883i −0.0110290 0.00531131i
\(502\) −4.07143 + 17.8381i −0.181717 + 0.796153i
\(503\) −22.4263 + 28.1217i −0.999941 + 1.25389i −0.0328482 + 0.999460i \(0.510458\pi\)
−0.967092 + 0.254425i \(0.918114\pi\)
\(504\) 4.22879 18.5276i 0.188365 0.825283i
\(505\) −6.13345 + 2.95371i −0.272935 + 0.131438i
\(506\) 1.01875 + 1.27747i 0.0452889 + 0.0567905i
\(507\) −2.20559 + 1.06216i −0.0979538 + 0.0471721i
\(508\) −3.67032 + 4.60243i −0.162844 + 0.204200i
\(509\) −33.0687 −1.46575 −0.732873 0.680365i \(-0.761821\pi\)
−0.732873 + 0.680365i \(0.761821\pi\)
\(510\) 0.0750500 0.00332327
\(511\) −22.7670 + 28.5489i −1.00715 + 1.26293i
\(512\) 15.9317 + 7.67232i 0.704090 + 0.339072i
\(513\) −3.07368 13.4667i −0.135706 0.594568i
\(514\) −1.25845 + 5.51363i −0.0555079 + 0.243196i
\(515\) 3.13017 0.137932
\(516\) −1.60338 + 2.48275i −0.0705849 + 0.109297i
\(517\) −2.90721 −0.127859
\(518\) 1.91441 8.38758i 0.0841144 0.368529i
\(519\) 0.933923 + 4.09178i 0.0409947 + 0.179609i
\(520\) 1.79026 + 0.862143i 0.0785080 + 0.0378075i
\(521\) 0.144674 0.181415i 0.00633828 0.00794796i −0.778652 0.627456i \(-0.784096\pi\)
0.784991 + 0.619508i \(0.212668\pi\)
\(522\) −8.49164 −0.371669
\(523\) 25.7768 1.12714 0.563570 0.826068i \(-0.309428\pi\)
0.563570 + 0.826068i \(0.309428\pi\)
\(524\) −8.47414 + 10.6262i −0.370195 + 0.464209i
\(525\) −3.49353 + 1.68240i −0.152470 + 0.0734258i
\(526\) 1.19194 + 1.49465i 0.0519711 + 0.0651697i
\(527\) 3.29102 1.58487i 0.143359 0.0690380i
\(528\) −0.0422215 + 0.184984i −0.00183745 + 0.00805041i
\(529\) 12.6003 15.8003i 0.547839 0.686969i
\(530\) −0.331801 + 1.45371i −0.0144125 + 0.0631453i
\(531\) 20.4544 + 9.85031i 0.887645 + 0.427467i
\(532\) −23.2373 29.1386i −1.00746 1.26332i
\(533\) 1.33996 + 1.68026i 0.0580401 + 0.0727800i
\(534\) −0.480164 2.10374i −0.0207787 0.0910376i
\(535\) −2.44163 1.17583i −0.105561 0.0508354i
\(536\) −1.17215 + 0.564480i −0.0506294 + 0.0243818i
\(537\) −1.17174 5.13373i −0.0505643 0.221537i
\(538\) −3.29414 14.4326i −0.142021 0.622233i
\(539\) 0.370522 0.178434i 0.0159595 0.00768570i
\(540\) 0.998799 + 0.480996i 0.0429815 + 0.0206988i
\(541\) −5.55084 24.3198i −0.238649 1.04559i −0.942228 0.334973i \(-0.891273\pi\)
0.703579 0.710617i \(-0.251584\pi\)
\(542\) 2.97972 + 3.73645i 0.127990 + 0.160494i
\(543\) −2.33518 2.92822i −0.100212 0.125662i
\(544\) 5.12200 + 2.46662i 0.219604 + 0.105756i
\(545\) −0.759344 + 3.32690i −0.0325267 + 0.142509i
\(546\) −0.666669 + 0.835977i −0.0285308 + 0.0357765i
\(547\) −6.31565 + 27.6707i −0.270038 + 1.18311i 0.639930 + 0.768433i \(0.278963\pi\)
−0.909968 + 0.414680i \(0.863894\pi\)
\(548\) 8.52578 4.10580i 0.364203 0.175391i
\(549\) 22.0282 + 27.6225i 0.940142 + 1.17890i
\(550\) 1.08111 0.520634i 0.0460986 0.0221999i
\(551\) −23.4224 + 29.3708i −0.997829 + 1.25124i
\(552\) −4.26570 −0.181560
\(553\) −25.8098 −1.09754
\(554\) 7.96276 9.98498i 0.338305 0.424221i
\(555\) 0.503097 + 0.242279i 0.0213553 + 0.0102842i
\(556\) −2.81708 12.3424i −0.119471 0.523435i
\(557\) −6.03066 + 26.4220i −0.255527 + 1.11954i 0.670449 + 0.741956i \(0.266102\pi\)
−0.925976 + 0.377582i \(0.876756\pi\)
\(558\) −6.80764 −0.288190
\(559\) −11.6694 + 7.13172i −0.493565 + 0.301640i
\(560\) 2.03027 0.0857947
\(561\) −0.0245244 + 0.107448i −0.00103542 + 0.00453647i
\(562\) −2.56050 11.2183i −0.108008 0.473215i
\(563\) 15.8638 + 7.63958i 0.668578 + 0.321970i 0.737202 0.675672i \(-0.236147\pi\)
−0.0686241 + 0.997643i \(0.521861\pi\)
\(564\) 2.09777 2.63052i 0.0883320 0.110765i
\(565\) 3.97243 0.167121
\(566\) −12.4811 −0.524621
\(567\) 14.6627 18.3864i 0.615775 0.772158i
\(568\) 19.0342 9.16638i 0.798657 0.384613i
\(569\) −10.2716 12.8801i −0.430606 0.539963i 0.518434 0.855118i \(-0.326515\pi\)
−0.949040 + 0.315154i \(0.897944\pi\)
\(570\) −0.557504 + 0.268480i −0.0233513 + 0.0112454i
\(571\) −3.82422 + 16.7550i −0.160039 + 0.701175i 0.829691 + 0.558223i \(0.188517\pi\)
−0.989730 + 0.142952i \(0.954340\pi\)
\(572\) −0.806511 + 1.01133i −0.0337219 + 0.0422860i
\(573\) −0.523928 + 2.29548i −0.0218874 + 0.0958949i
\(574\) −1.68193 0.809975i −0.0702025 0.0338077i
\(575\) −19.7847 24.8092i −0.825077 1.03461i
\(576\) −0.337439 0.423135i −0.0140599 0.0176306i
\(577\) 5.82862 + 25.5369i 0.242649 + 1.06311i 0.938595 + 0.345020i \(0.112128\pi\)
−0.695947 + 0.718093i \(0.745015\pi\)
\(578\) 0.575064 + 0.276936i 0.0239195 + 0.0115190i
\(579\) −6.49186 + 3.12632i −0.269793 + 0.129925i
\(580\) −0.670894 2.93938i −0.0278574 0.122051i
\(581\) −9.13330 40.0156i −0.378913 1.66013i
\(582\) −0.307662 + 0.148162i −0.0127530 + 0.00614151i
\(583\) −1.97284 0.950071i −0.0817068 0.0393479i
\(584\) 6.56453 + 28.7611i 0.271642 + 1.19014i
\(585\) 1.57757 + 1.97821i 0.0652245 + 0.0817889i
\(586\) −0.111720 0.140093i −0.00461512 0.00578718i
\(587\) 25.2461 + 12.1579i 1.04202 + 0.501808i 0.874988 0.484144i \(-0.160869\pi\)
0.167028 + 0.985952i \(0.446583\pi\)
\(588\) −0.105907 + 0.464011i −0.00436755 + 0.0191355i
\(589\) −18.7775 + 23.5462i −0.773712 + 0.970204i
\(590\) 0.458822 2.01023i 0.0188894 0.0827598i
\(591\) 3.89579 1.87611i 0.160251 0.0771730i
\(592\) 5.09756 + 6.39214i 0.209509 + 0.262715i
\(593\) −12.9824 + 6.25202i −0.533125 + 0.256740i −0.681022 0.732263i \(-0.738464\pi\)
0.147897 + 0.989003i \(0.452750\pi\)
\(594\) 0.259644 0.325583i 0.0106533 0.0133588i
\(595\) 1.17929 0.0483460
\(596\) −23.8939 −0.978734
\(597\) 1.97645 2.47839i 0.0808907 0.101434i
\(598\) −7.88379 3.79663i −0.322392 0.155256i
\(599\) −0.622017 2.72523i −0.0254149 0.111350i 0.960629 0.277833i \(-0.0896161\pi\)
−0.986044 + 0.166483i \(0.946759\pi\)
\(600\) −0.697080 + 3.05411i −0.0284582 + 0.124683i
\(601\) 43.5485 1.77638 0.888189 0.459478i \(-0.151963\pi\)
0.888189 + 0.459478i \(0.151963\pi\)
\(602\) 6.44480 9.97941i 0.262670 0.406730i
\(603\) −1.65664 −0.0674636
\(604\) 6.63886 29.0867i 0.270131 1.18352i
\(605\) 1.00298 + 4.39435i 0.0407770 + 0.178656i
\(606\) −2.66647 1.28410i −0.108318 0.0521632i
\(607\) −11.5111 + 14.4345i −0.467222 + 0.585878i −0.958488 0.285132i \(-0.907963\pi\)
0.491266 + 0.871009i \(0.336534\pi\)
\(608\) −46.8724 −1.90093
\(609\) 3.65982 0.148303
\(610\) 2.00067 2.50876i 0.0810049 0.101577i
\(611\) 14.0273 6.75520i 0.567485 0.273286i
\(612\) 2.89940 + 3.63573i 0.117201 + 0.146966i
\(613\) −29.3337 + 14.1264i −1.18478 + 0.570558i −0.919299 0.393559i \(-0.871244\pi\)
−0.265477 + 0.964117i \(0.585529\pi\)
\(614\) −1.73060 + 7.58227i −0.0698415 + 0.305996i
\(615\) 0.0755450 0.0947305i 0.00304627 0.00381990i
\(616\) 0.564013 2.47110i 0.0227247 0.0995636i
\(617\) 30.1975 + 14.5423i 1.21570 + 0.585452i 0.928112 0.372301i \(-0.121431\pi\)
0.287592 + 0.957753i \(0.407145\pi\)
\(618\) 0.848456 + 1.06393i 0.0341299 + 0.0427975i
\(619\) −23.5664 29.5513i −0.947214 1.18777i −0.982097 0.188377i \(-0.939677\pi\)
0.0348827 0.999391i \(-0.488894\pi\)
\(620\) −0.537847 2.35646i −0.0216005 0.0946379i
\(621\) −9.92199 4.77818i −0.398156 0.191742i
\(622\) 14.4348 6.95143i 0.578782 0.278727i
\(623\) −7.54497 33.0567i −0.302283 1.32439i
\(624\) −0.226111 0.990656i −0.00905167 0.0396580i
\(625\) −20.2180 + 9.73650i −0.808722 + 0.389460i
\(626\) −8.45983 4.07404i −0.338123 0.162831i
\(627\) −0.202202 0.885905i −0.00807517 0.0353796i
\(628\) 6.43039 + 8.06346i 0.256601 + 0.321767i
\(629\) 2.96092 + 3.71288i 0.118060 + 0.148042i
\(630\) −1.98018 0.953606i −0.0788924 0.0379926i
\(631\) 3.80738 16.6812i 0.151569 0.664068i −0.840860 0.541252i \(-0.817950\pi\)
0.992429 0.122816i \(-0.0391925\pi\)
\(632\) −13.0008 + 16.3025i −0.517144 + 0.648478i
\(633\) 1.56072 6.83795i 0.0620329 0.271784i
\(634\) −3.17069 + 1.52692i −0.125924 + 0.0606418i
\(635\) 0.957534 + 1.20071i 0.0379986 + 0.0476487i
\(636\) 2.28320 1.09953i 0.0905348 0.0435992i
\(637\) −1.37316 + 1.72189i −0.0544066 + 0.0682237i
\(638\) −1.13257 −0.0448388
\(639\) 26.9016 1.06421
\(640\) 2.91478 3.65502i 0.115217 0.144477i
\(641\) 4.60703 + 2.21863i 0.181967 + 0.0876305i 0.522649 0.852548i \(-0.324944\pi\)
−0.340682 + 0.940178i \(0.610658\pi\)
\(642\) −0.262164 1.14861i −0.0103468 0.0453322i
\(643\) 4.20277 18.4136i 0.165741 0.726160i −0.821926 0.569594i \(-0.807100\pi\)
0.987668 0.156566i \(-0.0500424\pi\)
\(644\) −29.7137 −1.17088
\(645\) 0.538394 + 0.551942i 0.0211992 + 0.0217327i
\(646\) −5.26252 −0.207051
\(647\) −5.81882 + 25.4939i −0.228761 + 1.00227i 0.721890 + 0.692008i \(0.243274\pi\)
−0.950651 + 0.310261i \(0.899583\pi\)
\(648\) −4.22778 18.5231i −0.166083 0.727656i
\(649\) 2.72809 + 1.31378i 0.107087 + 0.0515704i
\(650\) −4.00660 + 5.02412i −0.157152 + 0.197062i
\(651\) 2.93403 0.114994
\(652\) 18.7963 0.736120
\(653\) −12.8775 + 16.1479i −0.503935 + 0.631915i −0.967112 0.254351i \(-0.918138\pi\)
0.463177 + 0.886266i \(0.346710\pi\)
\(654\) −1.33662 + 0.643684i −0.0522661 + 0.0251701i
\(655\) 2.21079 + 2.77224i 0.0863825 + 0.108320i
\(656\) 1.59837 0.769735i 0.0624059 0.0300531i
\(657\) −8.35906 + 36.6234i −0.326118 + 1.42882i
\(658\) −8.43200 + 10.5734i −0.328713 + 0.412194i
\(659\) 9.14551 40.0691i 0.356259 1.56087i −0.406169 0.913798i \(-0.633136\pi\)
0.762428 0.647073i \(-0.224007\pi\)
\(660\) 0.0657060 + 0.0316423i 0.00255760 + 0.00123168i
\(661\) 3.28004 + 4.11304i 0.127579 + 0.159979i 0.841518 0.540229i \(-0.181662\pi\)
−0.713940 + 0.700207i \(0.753091\pi\)
\(662\) 7.17767 + 9.00051i 0.278968 + 0.349815i
\(663\) −0.131337 0.575423i −0.00510069 0.0223476i
\(664\) −29.8761 14.3876i −1.15942 0.558346i
\(665\) −8.76024 + 4.21871i −0.339708 + 0.163595i
\(666\) −1.96945 8.62873i −0.0763147 0.334356i
\(667\) 6.66461 + 29.1996i 0.258055 + 1.13061i
\(668\) −1.38925 + 0.669028i −0.0537517 + 0.0258855i
\(669\) 1.03476 + 0.498313i 0.0400060 + 0.0192659i
\(670\) 0.0334808 + 0.146689i 0.00129348 + 0.00566709i
\(671\) 2.93800 + 3.68414i 0.113420 + 0.142225i
\(672\) 2.84711 + 3.57016i 0.109829 + 0.137722i
\(673\) 33.0881 + 15.9344i 1.27545 + 0.614226i 0.944218 0.329321i \(-0.106820\pi\)
0.331236 + 0.943548i \(0.392534\pi\)
\(674\) 4.25044 18.6224i 0.163721 0.717308i
\(675\) −5.04243 + 6.32301i −0.194083 + 0.243373i
\(676\) −3.06556 + 13.4311i −0.117906 + 0.516581i
\(677\) −24.9050 + 11.9936i −0.957179 + 0.460953i −0.846197 0.532870i \(-0.821114\pi\)
−0.110981 + 0.993822i \(0.535399\pi\)
\(678\) 1.07676 + 1.35021i 0.0413526 + 0.0518545i
\(679\) −4.83439 + 2.32812i −0.185527 + 0.0893450i
\(680\) 0.594026 0.744885i 0.0227798 0.0285650i
\(681\) −3.05951 −0.117241
\(682\) −0.907965 −0.0347678
\(683\) −28.4730 + 35.7040i −1.08949 + 1.36618i −0.164414 + 0.986391i \(0.552573\pi\)
−0.925075 + 0.379785i \(0.875998\pi\)
\(684\) −34.5442 16.6356i −1.32083 0.636079i
\(685\) −0.549346 2.40684i −0.0209894 0.0919607i
\(686\) −2.39616 + 10.4983i −0.0914859 + 0.400826i
\(687\) 7.00053 0.267087
\(688\) 3.59596 + 10.7014i 0.137095 + 0.407985i
\(689\) 11.7266 0.446746
\(690\) −0.109777 + 0.480964i −0.00417913 + 0.0183100i
\(691\) 8.08886 + 35.4396i 0.307715 + 1.34819i 0.858189 + 0.513334i \(0.171590\pi\)
−0.550474 + 0.834852i \(0.685553\pi\)
\(692\) 21.2801 + 10.2480i 0.808948 + 0.389569i
\(693\) 2.01234 2.52339i 0.0764424 0.0958557i
\(694\) −13.3030 −0.504977
\(695\) −3.30277 −0.125281
\(696\) 1.84351 2.31169i 0.0698781 0.0876244i
\(697\) 0.928415 0.447101i 0.0351662 0.0169352i
\(698\) −4.69818 5.89133i −0.177829 0.222990i
\(699\) −2.43964 + 1.17487i −0.0922758 + 0.0444377i
\(700\) −4.85568 + 21.2741i −0.183527 + 0.804086i
\(701\) −10.1899 + 12.7777i −0.384866 + 0.482606i −0.936095 0.351747i \(-0.885588\pi\)
0.551229 + 0.834354i \(0.314159\pi\)
\(702\) −0.496258 + 2.17425i −0.0187301 + 0.0820617i
\(703\) −35.2773 16.9886i −1.33051 0.640739i
\(704\) −0.0450057 0.0564354i −0.00169622 0.00212699i
\(705\) −0.547279 0.686266i −0.0206117 0.0258463i
\(706\) 1.20289 + 5.27022i 0.0452715 + 0.198347i
\(707\) −41.8991 20.1775i −1.57578 0.758855i
\(708\) −3.15726 + 1.52046i −0.118657 + 0.0571423i
\(709\) 4.66752 + 20.4497i 0.175292 + 0.768006i 0.983763 + 0.179470i \(0.0574383\pi\)
−0.808471 + 0.588536i \(0.799705\pi\)
\(710\) −0.543682 2.38203i −0.0204040 0.0893959i
\(711\) −23.9223 + 11.5204i −0.897158 + 0.432049i
\(712\) −24.6805 11.8855i −0.924940 0.445428i
\(713\) 5.34293 + 23.4089i 0.200094 + 0.876671i
\(714\) 0.319654 + 0.400834i 0.0119628 + 0.0150008i
\(715\) 0.210407 + 0.263843i 0.00786879 + 0.00986715i
\(716\) −26.6990 12.8575i −0.997787 0.480509i
\(717\) 0.0451961 0.198017i 0.00168788 0.00739509i
\(718\) −1.47164 + 1.84538i −0.0549211 + 0.0688689i
\(719\) 2.37069 10.3867i 0.0884119 0.387358i −0.911290 0.411765i \(-0.864913\pi\)
0.999702 + 0.0244068i \(0.00776971\pi\)
\(720\) 1.88180 0.906229i 0.0701307 0.0337732i
\(721\) 13.3321 + 16.7179i 0.496512 + 0.622606i
\(722\) 28.1661 13.5641i 1.04823 0.504802i
\(723\) −3.42292 + 4.29220i −0.127300 + 0.159629i
\(724\) −21.0773 −0.783330
\(725\) 21.9951 0.816877
\(726\) −1.22175 + 1.53203i −0.0453436 + 0.0568590i
\(727\) −8.26520 3.98031i −0.306539 0.147622i 0.274290 0.961647i \(-0.411557\pi\)
−0.580829 + 0.814025i \(0.697272\pi\)
\(728\) 3.02049 + 13.2336i 0.111947 + 0.490470i
\(729\) 5.06701 22.2000i 0.187667 0.822223i
\(730\) 3.41179 0.126276
\(731\) 2.08872 + 6.21589i 0.0772539 + 0.229903i
\(732\) −5.45349 −0.201567
\(733\) −0.436103 + 1.91069i −0.0161078 + 0.0705730i −0.982343 0.187089i \(-0.940095\pi\)
0.966235 + 0.257662i \(0.0829520\pi\)
\(734\) −0.0695397 0.304673i −0.00256676 0.0112457i
\(735\) 0.111871 + 0.0538741i 0.00412641 + 0.00198717i
\(736\) −23.2996 + 29.2167i −0.858833 + 1.07694i
\(737\) −0.220954 −0.00813893
\(738\) −1.92047 −0.0706936
\(739\) −18.1647 + 22.7778i −0.668198 + 0.837894i −0.994208 0.107473i \(-0.965724\pi\)
0.326010 + 0.945366i \(0.394296\pi\)
\(740\) 2.83123 1.36345i 0.104078 0.0501214i
\(741\) 3.03411 + 3.80466i 0.111461 + 0.139768i
\(742\) −9.17733 + 4.41957i −0.336911 + 0.162248i
\(743\) 11.6589 51.0810i 0.427724 1.87398i −0.0554594 0.998461i \(-0.517662\pi\)
0.483183 0.875519i \(-0.339481\pi\)
\(744\) 1.47792 1.85325i 0.0541831 0.0679435i
\(745\) −1.38711 + 6.07730i −0.0508196 + 0.222655i
\(746\) −2.65417 1.27818i −0.0971762 0.0467976i
\(747\) −26.3267 33.0126i −0.963244 1.20787i
\(748\) 0.386705 + 0.484913i 0.0141394 + 0.0177302i
\(749\) −4.11946 18.0485i −0.150522 0.659480i
\(750\) 0.664505 + 0.320009i 0.0242643 + 0.0116851i
\(751\) 28.7748 13.8572i 1.05001 0.505657i 0.172395 0.985028i \(-0.444849\pi\)
0.877612 + 0.479371i \(0.159135\pi\)
\(752\) −2.85984 12.5298i −0.104287 0.456913i
\(753\) −1.80520 7.90909i −0.0657851 0.288223i
\(754\) 5.46464 2.63163i 0.199010 0.0958384i
\(755\) −7.01266 3.37712i −0.255217 0.122906i
\(756\) 1.68515 + 7.38314i 0.0612884 + 0.268522i
\(757\) 9.21833 + 11.5594i 0.335046 + 0.420134i 0.920605 0.390496i \(-0.127696\pi\)
−0.585559 + 0.810630i \(0.699125\pi\)