Properties

Label 280.2.bj.f.171.4
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.4
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +O(q^{10})\) \(q+(-0.771333 + 1.18535i) q^{2} +(0.784482 + 0.452921i) q^{3} +(-0.810092 - 1.82859i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.14196 + 0.580530i) q^{6} +(1.23347 - 2.34063i) q^{7} +(2.79237 + 0.450214i) q^{8} +(-1.08973 - 1.88746i) q^{9} +(1.41221 + 0.0753205i) q^{10} +(0.620880 - 1.07539i) q^{11} +(0.192705 - 1.80141i) q^{12} +4.31348 q^{13} +(1.82305 + 3.26749i) q^{14} -0.905842i q^{15} +(-2.68750 + 2.96266i) q^{16} +(-1.49339 - 0.862209i) q^{17} +(3.07783 + 0.164157i) q^{18} +(2.12801 - 1.22861i) q^{19} +(-1.17856 + 1.61586i) q^{20} +(2.02775 - 1.27752i) q^{21} +(0.795811 + 1.56544i) q^{22} +(-0.393079 + 0.226944i) q^{23} +(1.98665 + 1.61791i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-3.32713 + 5.11297i) q^{26} -4.69176i q^{27} +(-5.27928 - 0.359382i) q^{28} +7.69695i q^{29} +(1.07374 + 0.698705i) q^{30} +(0.133444 - 0.231133i) q^{31} +(-1.43882 - 5.47081i) q^{32} +(0.974138 - 0.562419i) q^{33} +(2.17392 - 1.10513i) q^{34} +(-2.64378 + 0.102102i) q^{35} +(-2.56862 + 3.52168i) q^{36} +(4.24881 - 2.45305i) q^{37} +(-0.185078 + 3.47009i) q^{38} +(3.38385 + 1.95367i) q^{39} +(-1.00629 - 2.64337i) q^{40} +12.2703i q^{41} +(-0.0497685 + 3.38898i) q^{42} +1.73856 q^{43} +(-2.46943 - 0.264167i) q^{44} +(-1.08973 + 1.88746i) q^{45} +(0.0341871 - 0.640985i) q^{46} +(-5.37669 - 9.31270i) q^{47} +(-3.45015 + 1.10693i) q^{48} +(-3.95712 - 5.77419i) q^{49} +(-0.640874 - 1.26067i) q^{50} +(-0.781025 - 1.35278i) q^{51} +(-3.49432 - 7.88760i) q^{52} +(7.50728 + 4.33433i) q^{53} +(5.56136 + 3.61891i) q^{54} -1.24176 q^{55} +(4.49808 - 5.98058i) q^{56} +2.22584 q^{57} +(-9.12356 - 5.93691i) q^{58} +(-4.83628 - 2.79223i) q^{59} +(-1.65642 + 0.733815i) q^{60} +(0.462932 + 0.801822i) q^{61} +(0.171042 + 0.336458i) q^{62} +(-5.76199 + 0.222526i) q^{63} +(7.59462 + 2.51432i) q^{64} +(-2.15674 - 3.73558i) q^{65} +(-0.0847233 + 1.58850i) q^{66} +(0.465968 - 0.807080i) q^{67} +(-0.366846 + 3.42927i) q^{68} -0.411152 q^{69} +(1.91821 - 3.21255i) q^{70} -8.36052i q^{71} +(-2.19315 - 5.76109i) q^{72} +(-6.21972 - 3.59095i) q^{73} +(-0.369530 + 6.92844i) q^{74} +(-0.784482 + 0.452921i) q^{75} +(-3.97050 - 2.89597i) q^{76} +(-1.75127 - 2.77972i) q^{77} +(-4.92584 + 2.50411i) q^{78} +(-9.56196 + 5.52060i) q^{79} +(3.90949 + 0.846117i) q^{80} +(-1.14418 + 1.98177i) q^{81} +(-14.5445 - 9.46448i) q^{82} +8.49133i q^{83} +(-3.97873 - 2.67303i) q^{84} +1.72442i q^{85} +(-1.34101 + 2.06079i) q^{86} +(-3.48611 + 6.03812i) q^{87} +(2.21788 - 2.72337i) q^{88} +(-6.91420 + 3.99191i) q^{89} +(-1.39675 - 2.74756i) q^{90} +(5.32054 - 10.0963i) q^{91} +(0.733419 + 0.534936i) q^{92} +(0.209370 - 0.120880i) q^{93} +(15.1860 + 0.809950i) q^{94} +(-2.12801 - 1.22861i) q^{95} +(1.34912 - 4.94343i) q^{96} +3.92866i q^{97} +(9.89666 - 0.236735i) q^{98} -2.70635 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.771333 + 1.18535i −0.545415 + 0.838166i
\(3\) 0.784482 + 0.452921i 0.452921 + 0.261494i 0.709063 0.705145i \(-0.249118\pi\)
−0.256142 + 0.966639i \(0.582451\pi\)
\(4\) −0.810092 1.82859i −0.405046 0.914296i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −1.14196 + 0.580530i −0.466205 + 0.237001i
\(7\) 1.23347 2.34063i 0.466207 0.884676i
\(8\) 2.79237 + 0.450214i 0.987250 + 0.159175i
\(9\) −1.08973 1.88746i −0.363242 0.629153i
\(10\) 1.41221 + 0.0753205i 0.446579 + 0.0238184i
\(11\) 0.620880 1.07539i 0.187202 0.324244i −0.757114 0.653283i \(-0.773391\pi\)
0.944316 + 0.329039i \(0.106725\pi\)
\(12\) 0.192705 1.80141i 0.0556292 0.520021i
\(13\) 4.31348 1.19634 0.598172 0.801368i \(-0.295894\pi\)
0.598172 + 0.801368i \(0.295894\pi\)
\(14\) 1.82305 + 3.26749i 0.487230 + 0.873274i
\(15\) 0.905842i 0.233887i
\(16\) −2.68750 + 2.96266i −0.671875 + 0.740664i
\(17\) −1.49339 0.862209i −0.362200 0.209116i 0.307845 0.951436i \(-0.400392\pi\)
−0.670046 + 0.742320i \(0.733725\pi\)
\(18\) 3.07783 + 0.164157i 0.725452 + 0.0386922i
\(19\) 2.12801 1.22861i 0.488198 0.281861i −0.235628 0.971843i \(-0.575715\pi\)
0.723827 + 0.689982i \(0.242382\pi\)
\(20\) −1.17856 + 1.61586i −0.263534 + 0.361317i
\(21\) 2.02775 1.27752i 0.442492 0.278778i
\(22\) 0.795811 + 1.56544i 0.169667 + 0.333754i
\(23\) −0.393079 + 0.226944i −0.0819627 + 0.0473212i −0.540421 0.841395i \(-0.681735\pi\)
0.458459 + 0.888716i \(0.348402\pi\)
\(24\) 1.98665 + 1.61791i 0.405523 + 0.330254i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −3.32713 + 5.11297i −0.652503 + 1.00274i
\(27\) 4.69176i 0.902930i
\(28\) −5.27928 0.359382i −0.997691 0.0679168i
\(29\) 7.69695i 1.42929i 0.699488 + 0.714644i \(0.253411\pi\)
−0.699488 + 0.714644i \(0.746589\pi\)
\(30\) 1.07374 + 0.698705i 0.196037 + 0.127566i
\(31\) 0.133444 0.231133i 0.0239673 0.0415126i −0.853793 0.520613i \(-0.825704\pi\)
0.877760 + 0.479100i \(0.159037\pi\)
\(32\) −1.43882 5.47081i −0.254349 0.967112i
\(33\) 0.974138 0.562419i 0.169576 0.0979045i
\(34\) 2.17392 1.10513i 0.372824 0.189529i
\(35\) −2.64378 + 0.102102i −0.446880 + 0.0172584i
\(36\) −2.56862 + 3.52168i −0.428103 + 0.586947i
\(37\) 4.24881 2.45305i 0.698501 0.403280i −0.108288 0.994120i \(-0.534537\pi\)
0.806789 + 0.590840i \(0.201204\pi\)
\(38\) −0.185078 + 3.47009i −0.0300237 + 0.562923i
\(39\) 3.38385 + 1.95367i 0.541849 + 0.312837i
\(40\) −1.00629 2.64337i −0.159108 0.417953i
\(41\) 12.2703i 1.91630i 0.286271 + 0.958149i \(0.407584\pi\)
−0.286271 + 0.958149i \(0.592416\pi\)
\(42\) −0.0497685 + 3.38898i −0.00767945 + 0.522932i
\(43\) 1.73856 0.265128 0.132564 0.991174i \(-0.457679\pi\)
0.132564 + 0.991174i \(0.457679\pi\)
\(44\) −2.46943 0.264167i −0.372280 0.0398247i
\(45\) −1.08973 + 1.88746i −0.162447 + 0.281366i
\(46\) 0.0341871 0.640985i 0.00504062 0.0945081i
\(47\) −5.37669 9.31270i −0.784271 1.35840i −0.929434 0.368990i \(-0.879704\pi\)
0.145162 0.989408i \(-0.453630\pi\)
\(48\) −3.45015 + 1.10693i −0.497986 + 0.159771i
\(49\) −3.95712 5.77419i −0.565302 0.824884i
\(50\) −0.640874 1.26067i −0.0906332 0.178285i
\(51\) −0.781025 1.35278i −0.109365 0.189426i
\(52\) −3.49432 7.88760i −0.484574 1.09381i
\(53\) 7.50728 + 4.33433i 1.03120 + 0.595366i 0.917329 0.398129i \(-0.130340\pi\)
0.113875 + 0.993495i \(0.463674\pi\)
\(54\) 5.56136 + 3.61891i 0.756806 + 0.492471i
\(55\) −1.24176 −0.167439
\(56\) 4.49808 5.98058i 0.601081 0.799188i
\(57\) 2.22584 0.294820
\(58\) −9.12356 5.93691i −1.19798 0.779555i
\(59\) −4.83628 2.79223i −0.629630 0.363517i 0.150978 0.988537i \(-0.451758\pi\)
−0.780609 + 0.625020i \(0.785091\pi\)
\(60\) −1.65642 + 0.733815i −0.213842 + 0.0947351i
\(61\) 0.462932 + 0.801822i 0.0592724 + 0.102663i 0.894139 0.447790i \(-0.147789\pi\)
−0.834867 + 0.550452i \(0.814455\pi\)
\(62\) 0.171042 + 0.336458i 0.0217224 + 0.0427302i
\(63\) −5.76199 + 0.222526i −0.725942 + 0.0280357i
\(64\) 7.59462 + 2.51432i 0.949327 + 0.314290i
\(65\) −2.15674 3.73558i −0.267511 0.463342i
\(66\) −0.0847233 + 1.58850i −0.0104287 + 0.195531i
\(67\) 0.465968 0.807080i 0.0569270 0.0986005i −0.836158 0.548489i \(-0.815203\pi\)
0.893085 + 0.449889i \(0.148536\pi\)
\(68\) −0.366846 + 3.42927i −0.0444866 + 0.415860i
\(69\) −0.411152 −0.0494968
\(70\) 1.91821 3.21255i 0.229270 0.383973i
\(71\) 8.36052i 0.992211i −0.868262 0.496105i \(-0.834763\pi\)
0.868262 0.496105i \(-0.165237\pi\)
\(72\) −2.19315 5.76109i −0.258465 0.678951i
\(73\) −6.21972 3.59095i −0.727963 0.420289i 0.0897137 0.995968i \(-0.471405\pi\)
−0.817676 + 0.575678i \(0.804738\pi\)
\(74\) −0.369530 + 6.92844i −0.0429570 + 0.805415i
\(75\) −0.784482 + 0.452921i −0.0905842 + 0.0522988i
\(76\) −3.97050 2.89597i −0.455448 0.332191i
\(77\) −1.75127 2.77972i −0.199576 0.316778i
\(78\) −4.92584 + 2.50411i −0.557742 + 0.283534i
\(79\) −9.56196 + 5.52060i −1.07580 + 0.621116i −0.929762 0.368162i \(-0.879987\pi\)
−0.146043 + 0.989278i \(0.546654\pi\)
\(80\) 3.90949 + 0.846117i 0.437094 + 0.0945987i
\(81\) −1.14418 + 1.98177i −0.127131 + 0.220197i
\(82\) −14.5445 9.46448i −1.60618 1.04518i
\(83\) 8.49133i 0.932045i 0.884773 + 0.466022i \(0.154313\pi\)
−0.884773 + 0.466022i \(0.845687\pi\)
\(84\) −3.97873 2.67303i −0.434115 0.291651i
\(85\) 1.72442i 0.187039i
\(86\) −1.34101 + 2.06079i −0.144605 + 0.222221i
\(87\) −3.48611 + 6.03812i −0.373750 + 0.647355i
\(88\) 2.21788 2.72337i 0.236427 0.290312i
\(89\) −6.91420 + 3.99191i −0.732903 + 0.423142i −0.819483 0.573103i \(-0.805740\pi\)
0.0865800 + 0.996245i \(0.472406\pi\)
\(90\) −1.39675 2.74756i −0.147231 0.289618i
\(91\) 5.32054 10.0963i 0.557744 1.05838i
\(92\) 0.733419 + 0.534936i 0.0764643 + 0.0557709i
\(93\) 0.209370 0.120880i 0.0217106 0.0125346i
\(94\) 15.1860 + 0.809950i 1.56632 + 0.0835399i
\(95\) −2.12801 1.22861i −0.218329 0.126052i
\(96\) 1.34912 4.94343i 0.137694 0.504536i
\(97\) 3.92866i 0.398895i 0.979909 + 0.199447i \(0.0639147\pi\)
−0.979909 + 0.199447i \(0.936085\pi\)
\(98\) 9.89666 0.236735i 0.999714 0.0239139i
\(99\) −2.70635 −0.271999
\(100\) 1.98865 + 0.212736i 0.198865 + 0.0212736i
\(101\) −4.82944 + 8.36483i −0.480547 + 0.832332i −0.999751 0.0223184i \(-0.992895\pi\)
0.519204 + 0.854651i \(0.326229\pi\)
\(102\) 2.20594 + 0.117654i 0.218420 + 0.0116495i
\(103\) −3.82962 6.63310i −0.377344 0.653578i 0.613331 0.789826i \(-0.289829\pi\)
−0.990675 + 0.136247i \(0.956496\pi\)
\(104\) 12.0448 + 1.94199i 1.18109 + 0.190427i
\(105\) −2.12024 1.11733i −0.206914 0.109040i
\(106\) −10.9283 + 5.55552i −1.06145 + 0.539599i
\(107\) 8.44757 + 14.6316i 0.816657 + 1.41449i 0.908132 + 0.418684i \(0.137509\pi\)
−0.0914746 + 0.995807i \(0.529158\pi\)
\(108\) −8.57932 + 3.80076i −0.825546 + 0.365728i
\(109\) 7.93420 + 4.58081i 0.759959 + 0.438762i 0.829281 0.558832i \(-0.188750\pi\)
−0.0693221 + 0.997594i \(0.522084\pi\)
\(110\) 0.957809 1.47191i 0.0913235 0.140342i
\(111\) 4.44416 0.421821
\(112\) 3.61954 + 9.94479i 0.342015 + 0.939695i
\(113\) 20.4047 1.91952 0.959758 0.280829i \(-0.0906094\pi\)
0.959758 + 0.280829i \(0.0906094\pi\)
\(114\) −1.71687 + 2.63840i −0.160799 + 0.247108i
\(115\) 0.393079 + 0.226944i 0.0366548 + 0.0211627i
\(116\) 14.0746 6.23524i 1.30679 0.578928i
\(117\) −4.70051 8.14152i −0.434562 0.752684i
\(118\) 7.04014 3.57893i 0.648098 0.329468i
\(119\) −3.86016 + 2.43197i −0.353861 + 0.222938i
\(120\) 0.407822 2.52944i 0.0372289 0.230905i
\(121\) 4.72902 + 8.19090i 0.429911 + 0.744627i
\(122\) −1.30751 0.0697365i −0.118376 0.00631364i
\(123\) −5.55747 + 9.62582i −0.501100 + 0.867931i
\(124\) −0.530749 0.0567769i −0.0476627 0.00509871i
\(125\) 1.00000 0.0894427
\(126\) 4.18064 7.00159i 0.372441 0.623752i
\(127\) 5.18278i 0.459897i 0.973203 + 0.229949i \(0.0738558\pi\)
−0.973203 + 0.229949i \(0.926144\pi\)
\(128\) −8.83832 + 7.06287i −0.781204 + 0.624276i
\(129\) 1.36387 + 0.787430i 0.120082 + 0.0693293i
\(130\) 6.09152 + 0.324893i 0.534262 + 0.0284950i
\(131\) 11.7551 6.78684i 1.02705 0.592969i 0.110913 0.993830i \(-0.464622\pi\)
0.916139 + 0.400861i \(0.131289\pi\)
\(132\) −1.81758 1.32569i −0.158200 0.115387i
\(133\) −0.250886 6.49633i −0.0217546 0.563303i
\(134\) 0.597253 + 1.17486i 0.0515948 + 0.101492i
\(135\) −4.06319 + 2.34588i −0.349703 + 0.201901i
\(136\) −3.78191 3.07995i −0.324296 0.264103i
\(137\) −6.46913 + 11.2049i −0.552695 + 0.957296i 0.445384 + 0.895340i \(0.353067\pi\)
−0.998079 + 0.0619561i \(0.980266\pi\)
\(138\) 0.317135 0.487357i 0.0269963 0.0414866i
\(139\) 17.8027i 1.51001i −0.655720 0.755004i \(-0.727635\pi\)
0.655720 0.755004i \(-0.272365\pi\)
\(140\) 2.32841 + 4.75169i 0.196786 + 0.401591i
\(141\) 9.74087i 0.820329i
\(142\) 9.91011 + 6.44874i 0.831638 + 0.541166i
\(143\) 2.67815 4.63869i 0.223958 0.387907i
\(144\) 8.52053 + 1.84407i 0.710044 + 0.153672i
\(145\) 6.66576 3.84848i 0.553561 0.319599i
\(146\) 9.05399 4.60270i 0.749314 0.380922i
\(147\) −0.489037 6.32201i −0.0403351 0.521430i
\(148\) −7.92757 5.78215i −0.651642 0.475290i
\(149\) −12.7146 + 7.34080i −1.04162 + 0.601382i −0.920293 0.391230i \(-0.872050\pi\)
−0.121331 + 0.992612i \(0.538716\pi\)
\(150\) 0.0682284 1.27924i 0.00557083 0.104449i
\(151\) 14.9018 + 8.60359i 1.21270 + 0.700150i 0.963346 0.268264i \(-0.0864498\pi\)
0.249350 + 0.968414i \(0.419783\pi\)
\(152\) 6.49531 2.47266i 0.526839 0.200559i
\(153\) 3.75829i 0.303839i
\(154\) 4.64574 + 0.0682244i 0.374364 + 0.00549768i
\(155\) −0.266889 −0.0214370
\(156\) 0.831230 7.77033i 0.0665517 0.622124i
\(157\) −5.35139 + 9.26887i −0.427087 + 0.739737i −0.996613 0.0822369i \(-0.973794\pi\)
0.569526 + 0.821974i \(0.307127\pi\)
\(158\) 0.831628 15.5925i 0.0661608 1.24047i
\(159\) 3.92622 + 6.80041i 0.311369 + 0.539307i
\(160\) −4.01846 + 3.98146i −0.317687 + 0.314762i
\(161\) 0.0463429 + 1.19998i 0.00365233 + 0.0945719i
\(162\) −1.46655 2.88485i −0.115223 0.226655i
\(163\) 12.5462 + 21.7307i 0.982696 + 1.70208i 0.651760 + 0.758426i \(0.274031\pi\)
0.330936 + 0.943653i \(0.392636\pi\)
\(164\) 22.4374 9.94006i 1.75206 0.776189i
\(165\) −0.974138 0.562419i −0.0758365 0.0437842i
\(166\) −10.0652 6.54964i −0.781209 0.508351i
\(167\) 6.43113 0.497656 0.248828 0.968548i \(-0.419955\pi\)
0.248828 + 0.968548i \(0.419955\pi\)
\(168\) 6.23739 2.65438i 0.481225 0.204790i
\(169\) 5.60611 0.431239
\(170\) −2.04403 1.33010i −0.156770 0.102014i
\(171\) −4.63789 2.67768i −0.354668 0.204768i
\(172\) −1.40839 3.17912i −0.107389 0.242405i
\(173\) −1.08576 1.88059i −0.0825486 0.142978i 0.821795 0.569783i \(-0.192973\pi\)
−0.904344 + 0.426804i \(0.859639\pi\)
\(174\) −4.46831 8.78965i −0.338742 0.666342i
\(175\) 1.41031 + 2.23853i 0.106610 + 0.169217i
\(176\) 1.51741 + 4.72958i 0.114379 + 0.356505i
\(177\) −2.52932 4.38091i −0.190115 0.329289i
\(178\) 0.601345 11.2748i 0.0450727 0.845083i
\(179\) −11.3858 + 19.7209i −0.851018 + 1.47401i 0.0292733 + 0.999571i \(0.490681\pi\)
−0.880291 + 0.474434i \(0.842653\pi\)
\(180\) 4.33417 + 0.463648i 0.323050 + 0.0345583i
\(181\) −20.2848 −1.50776 −0.753879 0.657013i \(-0.771820\pi\)
−0.753879 + 0.657013i \(0.771820\pi\)
\(182\) 7.86367 + 14.0943i 0.582894 + 1.04474i
\(183\) 0.838686i 0.0619975i
\(184\) −1.19979 + 0.456742i −0.0884500 + 0.0336715i
\(185\) −4.24881 2.45305i −0.312379 0.180352i
\(186\) −0.0182094 + 0.341414i −0.00133518 + 0.0250337i
\(187\) −1.85443 + 1.07066i −0.135609 + 0.0782941i
\(188\) −12.6735 + 17.3759i −0.924312 + 1.26727i
\(189\) −10.9817 5.78714i −0.798801 0.420952i
\(190\) 3.09772 1.57476i 0.224733 0.114245i
\(191\) −1.45879 + 0.842233i −0.105554 + 0.0609419i −0.551848 0.833945i \(-0.686077\pi\)
0.446293 + 0.894887i \(0.352744\pi\)
\(192\) 4.81905 + 5.41220i 0.347785 + 0.390592i
\(193\) 12.3298 21.3558i 0.887517 1.53722i 0.0447160 0.999000i \(-0.485762\pi\)
0.842801 0.538225i \(-0.180905\pi\)
\(194\) −4.65682 3.03030i −0.334340 0.217563i
\(195\) 3.90733i 0.279810i
\(196\) −7.35301 + 11.9136i −0.525215 + 0.850970i
\(197\) 1.66437i 0.118582i −0.998241 0.0592908i \(-0.981116\pi\)
0.998241 0.0592908i \(-0.0188839\pi\)
\(198\) 2.08750 3.20796i 0.148352 0.227980i
\(199\) −6.39700 + 11.0799i −0.453471 + 0.785435i −0.998599 0.0529181i \(-0.983148\pi\)
0.545128 + 0.838353i \(0.316481\pi\)
\(200\) −1.78608 + 2.19315i −0.126295 + 0.155079i
\(201\) 0.731087 0.422093i 0.0515669 0.0297721i
\(202\) −6.19012 12.1766i −0.435535 0.856745i
\(203\) 18.0157 + 9.49394i 1.26446 + 0.666344i
\(204\) −1.84097 + 2.52405i −0.128894 + 0.176719i
\(205\) 10.6264 6.13515i 0.742179 0.428497i
\(206\) 10.8164 + 0.576897i 0.753616 + 0.0401943i
\(207\) 0.856697 + 0.494614i 0.0595446 + 0.0343781i
\(208\) −11.5925 + 12.7794i −0.803794 + 0.886089i
\(209\) 3.05126i 0.211060i
\(210\) 2.95983 1.65139i 0.204248 0.113957i
\(211\) −16.8109 −1.15731 −0.578655 0.815573i \(-0.696422\pi\)
−0.578655 + 0.815573i \(0.696422\pi\)
\(212\) 1.84414 17.2390i 0.126656 1.18398i
\(213\) 3.78665 6.55868i 0.259457 0.449393i
\(214\) −23.8594 1.27255i −1.63100 0.0869897i
\(215\) −0.869279 1.50564i −0.0592844 0.102684i
\(216\) 2.11230 13.1011i 0.143723 0.891418i
\(217\) −0.376397 0.597439i −0.0255515 0.0405568i
\(218\) −11.5498 + 5.87145i −0.782249 + 0.397665i
\(219\) −3.25284 5.63408i −0.219806 0.380716i
\(220\) 1.00594 + 2.27067i 0.0678204 + 0.153089i
\(221\) −6.44171 3.71912i −0.433316 0.250175i
\(222\) −3.42792 + 5.26787i −0.230067 + 0.353556i
\(223\) 23.8692 1.59840 0.799200 0.601065i \(-0.205257\pi\)
0.799200 + 0.601065i \(0.205257\pi\)
\(224\) −14.5799 3.38033i −0.974160 0.225858i
\(225\) 2.17945 0.145297
\(226\) −15.7388 + 24.1867i −1.04693 + 1.60887i
\(227\) −6.71810 3.87870i −0.445896 0.257438i 0.260199 0.965555i \(-0.416212\pi\)
−0.706095 + 0.708117i \(0.749545\pi\)
\(228\) −1.80314 4.07016i −0.119416 0.269553i
\(229\) −2.45190 4.24681i −0.162026 0.280637i 0.773569 0.633712i \(-0.218470\pi\)
−0.935595 + 0.353075i \(0.885136\pi\)
\(230\) −0.572203 + 0.290885i −0.0377299 + 0.0191804i
\(231\) −0.114848 2.97382i −0.00755645 0.195663i
\(232\) −3.46527 + 21.4927i −0.227506 + 1.41107i
\(233\) −8.58535 14.8703i −0.562445 0.974183i −0.997282 0.0736741i \(-0.976528\pi\)
0.434838 0.900509i \(-0.356806\pi\)
\(234\) 13.2762 + 0.708089i 0.867891 + 0.0462892i
\(235\) −5.37669 + 9.31270i −0.350737 + 0.607494i
\(236\) −1.18802 + 11.1056i −0.0773332 + 0.722910i
\(237\) −10.0016 −0.649673
\(238\) 0.0947426 6.45149i 0.00614125 0.418188i
\(239\) 22.5691i 1.45987i −0.683516 0.729935i \(-0.739550\pi\)
0.683516 0.729935i \(-0.260450\pi\)
\(240\) 2.68370 + 2.43445i 0.173232 + 0.157143i
\(241\) −2.49414 1.43999i −0.160662 0.0927580i 0.417514 0.908671i \(-0.362902\pi\)
−0.578175 + 0.815913i \(0.696235\pi\)
\(242\) −13.3567 0.712383i −0.858601 0.0457937i
\(243\) −13.9847 + 8.07409i −0.897121 + 0.517953i
\(244\) 1.09119 1.49606i 0.0698561 0.0957756i
\(245\) −3.02203 + 6.31406i −0.193071 + 0.403390i
\(246\) −7.12328 14.0122i −0.454163 0.893388i
\(247\) 9.17911 5.29956i 0.584053 0.337203i
\(248\) 0.476685 0.585328i 0.0302695 0.0371684i
\(249\) −3.84590 + 6.66130i −0.243724 + 0.422143i
\(250\) −0.771333 + 1.18535i −0.0487834 + 0.0749679i
\(251\) 12.3739i 0.781034i −0.920596 0.390517i \(-0.872296\pi\)
0.920596 0.390517i \(-0.127704\pi\)
\(252\) 5.07465 + 10.3561i 0.319673 + 0.652371i
\(253\) 0.563621i 0.0354345i
\(254\) −6.14339 3.99765i −0.385470 0.250835i
\(255\) −0.781025 + 1.35278i −0.0489097 + 0.0847141i
\(256\) −1.55467 15.9243i −0.0971667 0.995268i
\(257\) 4.89750 2.82758i 0.305498 0.176379i −0.339412 0.940638i \(-0.610228\pi\)
0.644910 + 0.764258i \(0.276895\pi\)
\(258\) −1.98537 + 1.00929i −0.123604 + 0.0628354i
\(259\) −0.500923 12.9707i −0.0311259 0.805959i
\(260\) −5.08370 + 6.96996i −0.315278 + 0.432259i
\(261\) 14.5277 8.38756i 0.899241 0.519177i
\(262\) −1.02238 + 19.1688i −0.0631626 + 1.18425i
\(263\) −8.62649 4.98051i −0.531932 0.307111i 0.209871 0.977729i \(-0.432696\pi\)
−0.741803 + 0.670618i \(0.766029\pi\)
\(264\) 2.97336 1.13191i 0.182998 0.0696642i
\(265\) 8.66866i 0.532511i
\(266\) 7.89391 + 4.71344i 0.484007 + 0.289000i
\(267\) −7.23208 −0.442596
\(268\) −1.85330 0.198256i −0.113208 0.0121104i
\(269\) 9.77791 16.9358i 0.596170 1.03260i −0.397211 0.917727i \(-0.630022\pi\)
0.993381 0.114869i \(-0.0366449\pi\)
\(270\) 0.353386 6.62574i 0.0215064 0.403230i
\(271\) 16.1219 + 27.9240i 0.979336 + 1.69626i 0.664814 + 0.747009i \(0.268511\pi\)
0.314522 + 0.949250i \(0.398156\pi\)
\(272\) 6.56792 2.10721i 0.398239 0.127769i
\(273\) 8.74668 5.51056i 0.529373 0.333514i
\(274\) −8.29179 16.3108i −0.500925 0.985373i
\(275\) 0.620880 + 1.07539i 0.0374404 + 0.0648488i
\(276\) 0.333071 + 0.751829i 0.0200485 + 0.0452548i
\(277\) 15.3351 + 8.85371i 0.921396 + 0.531968i 0.884080 0.467336i \(-0.154786\pi\)
0.0373155 + 0.999304i \(0.488119\pi\)
\(278\) 21.1024 + 13.7318i 1.26564 + 0.823580i
\(279\) −0.581671 −0.0348237
\(280\) −7.42837 0.905160i −0.443930 0.0540936i
\(281\) −4.02367 −0.240032 −0.120016 0.992772i \(-0.538295\pi\)
−0.120016 + 0.992772i \(0.538295\pi\)
\(282\) 11.5463 + 7.51345i 0.687572 + 0.447419i
\(283\) −16.4300 9.48585i −0.976661 0.563875i −0.0754004 0.997153i \(-0.524023\pi\)
−0.901260 + 0.433278i \(0.857357\pi\)
\(284\) −15.2880 + 6.77279i −0.907175 + 0.401891i
\(285\) −1.11292 1.92764i −0.0659238 0.114183i
\(286\) 3.43271 + 6.75251i 0.202981 + 0.399284i
\(287\) 28.7202 + 15.1350i 1.69530 + 0.893391i
\(288\) −8.75803 + 8.67739i −0.516072 + 0.511320i
\(289\) −7.01319 12.1472i −0.412541 0.714541i
\(290\) −0.579738 + 10.8697i −0.0340434 + 0.638290i
\(291\) −1.77937 + 3.08196i −0.104309 + 0.180668i
\(292\) −1.52785 + 14.2823i −0.0894107 + 0.835810i
\(293\) 10.3847 0.606678 0.303339 0.952883i \(-0.401899\pi\)
0.303339 + 0.952883i \(0.401899\pi\)
\(294\) 7.87098 + 4.29669i 0.459045 + 0.250588i
\(295\) 5.58446i 0.325140i
\(296\) 12.9686 4.93695i 0.753787 0.286954i
\(297\) −5.04550 2.91302i −0.292770 0.169031i
\(298\) 1.10583 20.7335i 0.0640587 1.20106i
\(299\) −1.69554 + 0.978920i −0.0980556 + 0.0566124i
\(300\) 1.46371 + 1.06759i 0.0845074 + 0.0616374i
\(301\) 2.14446 4.06933i 0.123604 0.234552i
\(302\) −21.6925 + 11.0276i −1.24826 + 0.634569i
\(303\) −7.57722 + 4.37471i −0.435300 + 0.251320i
\(304\) −2.07909 + 9.60643i −0.119244 + 0.550967i
\(305\) 0.462932 0.801822i 0.0265074 0.0459122i
\(306\) −4.45487 2.89889i −0.254668 0.165718i
\(307\) 21.4468i 1.22403i −0.790846 0.612015i \(-0.790359\pi\)
0.790846 0.612015i \(-0.209641\pi\)
\(308\) −3.66428 + 5.45418i −0.208792 + 0.310781i
\(309\) 6.93806i 0.394692i
\(310\) 0.205860 0.316356i 0.0116921 0.0179678i
\(311\) 3.97738 6.88902i 0.225536 0.390641i −0.730944 0.682438i \(-0.760920\pi\)
0.956480 + 0.291797i \(0.0942532\pi\)
\(312\) 8.56937 + 6.97880i 0.485145 + 0.395097i
\(313\) −9.04094 + 5.21979i −0.511024 + 0.295040i −0.733255 0.679954i \(-0.762000\pi\)
0.222230 + 0.974994i \(0.428666\pi\)
\(314\) −6.85913 13.4926i −0.387083 0.761433i
\(315\) 3.07371 + 4.87877i 0.173184 + 0.274887i
\(316\) 17.8410 + 13.0127i 1.00363 + 0.732024i
\(317\) −5.86432 + 3.38576i −0.329373 + 0.190163i −0.655563 0.755141i \(-0.727568\pi\)
0.326190 + 0.945304i \(0.394235\pi\)
\(318\) −11.0893 0.591449i −0.621855 0.0331668i
\(319\) 8.27726 + 4.77888i 0.463438 + 0.267566i
\(320\) −1.61984 7.83429i −0.0905519 0.437950i
\(321\) 15.3043i 0.854204i
\(322\) −1.45814 0.870653i −0.0812590 0.0485196i
\(323\) −4.23726 −0.235767
\(324\) 4.55075 + 0.486816i 0.252819 + 0.0270453i
\(325\) −2.15674 + 3.73558i −0.119634 + 0.207213i
\(326\) −35.4357 1.88997i −1.96260 0.104676i
\(327\) 4.14949 + 7.18713i 0.229468 + 0.397449i
\(328\) −5.52425 + 34.2631i −0.305026 + 1.89187i
\(329\) −28.4296 + 1.09794i −1.56737 + 0.0605315i
\(330\) 1.41805 0.720879i 0.0780608 0.0396831i
\(331\) 5.59806 + 9.69613i 0.307697 + 0.532947i 0.977858 0.209268i \(-0.0671083\pi\)
−0.670161 + 0.742216i \(0.733775\pi\)
\(332\) 15.5272 6.87876i 0.852165 0.377521i
\(333\) −9.26008 5.34631i −0.507449 0.292976i
\(334\) −4.96054 + 7.62312i −0.271429 + 0.417119i
\(335\) −0.931935 −0.0509171
\(336\) −1.66474 + 9.44088i −0.0908189 + 0.515042i
\(337\) 24.4910 1.33411 0.667055 0.745008i \(-0.267554\pi\)
0.667055 + 0.745008i \(0.267554\pi\)
\(338\) −4.32417 + 6.64518i −0.235204 + 0.361450i
\(339\) 16.0071 + 9.24173i 0.869389 + 0.501942i
\(340\) 3.15326 1.39694i 0.171010 0.0757596i
\(341\) −0.165706 0.287011i −0.00897347 0.0155425i
\(342\) 6.75134 3.43212i 0.365070 0.185588i
\(343\) −18.3962 + 2.13988i −0.993303 + 0.115543i
\(344\) 4.85469 + 0.782723i 0.261748 + 0.0422016i
\(345\) 0.205576 + 0.356068i 0.0110678 + 0.0191700i
\(346\) 3.06663 + 0.163559i 0.164863 + 0.00879301i
\(347\) 8.21166 14.2230i 0.440825 0.763531i −0.556926 0.830562i \(-0.688019\pi\)
0.997751 + 0.0670312i \(0.0213527\pi\)
\(348\) 13.8653 + 1.48324i 0.743260 + 0.0795102i
\(349\) −0.191603 −0.0102563 −0.00512813 0.999987i \(-0.501632\pi\)
−0.00512813 + 0.999987i \(0.501632\pi\)
\(350\) −3.74125 0.0549418i −0.199978 0.00293676i
\(351\) 20.2378i 1.08022i
\(352\) −6.77662 1.84942i −0.361195 0.0985745i
\(353\) −19.3579 11.1763i −1.03032 0.594854i −0.113241 0.993568i \(-0.536123\pi\)
−0.917075 + 0.398714i \(0.869457\pi\)
\(354\) 7.14384 + 0.381019i 0.379691 + 0.0202509i
\(355\) −7.24042 + 4.18026i −0.384282 + 0.221865i
\(356\) 12.9007 + 9.40943i 0.683737 + 0.498699i
\(357\) −4.12972 + 0.159488i −0.218568 + 0.00844102i
\(358\) −14.5938 28.7075i −0.771305 1.51724i
\(359\) 20.4748 11.8211i 1.08062 0.623896i 0.149556 0.988753i \(-0.452216\pi\)
0.931064 + 0.364857i \(0.118882\pi\)
\(360\) −3.89267 + 4.77987i −0.205162 + 0.251921i
\(361\) −6.48106 + 11.2255i −0.341108 + 0.590817i
\(362\) 15.6463 24.0445i 0.822353 1.26375i
\(363\) 8.56748i 0.449676i
\(364\) −22.7721 1.55019i −1.19358 0.0812519i
\(365\) 7.18191i 0.375918i
\(366\) −0.994134 0.646906i −0.0519642 0.0338143i
\(367\) −9.00124 + 15.5906i −0.469861 + 0.813823i −0.999406 0.0344586i \(-0.989029\pi\)
0.529545 + 0.848282i \(0.322363\pi\)
\(368\) 0.384043 1.77447i 0.0200196 0.0925008i
\(369\) 23.1597 13.3712i 1.20564 0.696079i
\(370\) 6.18497 3.14420i 0.321541 0.163459i
\(371\) 19.4051 12.2255i 1.00746 0.634717i
\(372\) −0.390648 0.284928i −0.0202542 0.0147728i
\(373\) 21.5700 12.4535i 1.11685 0.644815i 0.176257 0.984344i \(-0.443601\pi\)
0.940596 + 0.339529i \(0.110268\pi\)
\(374\) 0.161285 3.02398i 0.00833983 0.156366i
\(375\) 0.784482 + 0.452921i 0.0405105 + 0.0233887i
\(376\) −10.8210 28.4251i −0.558050 1.46591i
\(377\) 33.2006i 1.70992i
\(378\) 15.3303 8.55330i 0.788505 0.439934i
\(379\) 3.91557 0.201130 0.100565 0.994931i \(-0.467935\pi\)
0.100565 + 0.994931i \(0.467935\pi\)
\(380\) −0.522737 + 4.88654i −0.0268159 + 0.250674i
\(381\) −2.34739 + 4.06580i −0.120260 + 0.208297i
\(382\) 0.126875 2.37881i 0.00649148 0.121711i
\(383\) −8.27193 14.3274i −0.422676 0.732096i 0.573524 0.819189i \(-0.305576\pi\)
−0.996200 + 0.0870922i \(0.972243\pi\)
\(384\) −10.1324 + 1.53764i −0.517068 + 0.0784672i
\(385\) −1.53167 + 2.90650i −0.0780611 + 0.148129i
\(386\) 15.8037 + 31.0875i 0.804386 + 1.58231i
\(387\) −1.89455 3.28146i −0.0963055 0.166806i
\(388\) 7.18392 3.18258i 0.364708 0.161571i
\(389\) −17.8537 10.3078i −0.905219 0.522628i −0.0263290 0.999653i \(-0.508382\pi\)
−0.878890 + 0.477025i \(0.841715\pi\)
\(390\) 4.63154 + 3.01385i 0.234527 + 0.152612i
\(391\) 0.782695 0.0395826
\(392\) −8.45010 17.9052i −0.426795 0.904349i
\(393\) 12.2956 0.620231
\(394\) 1.97286 + 1.28379i 0.0993912 + 0.0646762i
\(395\) 9.56196 + 5.52060i 0.481114 + 0.277772i
\(396\) 2.19239 + 4.94882i 0.110172 + 0.248687i
\(397\) 9.45979 + 16.3848i 0.474773 + 0.822332i 0.999583 0.0288882i \(-0.00919669\pi\)
−0.524809 + 0.851220i \(0.675863\pi\)
\(398\) −8.19933 16.1290i −0.410995 0.808472i
\(399\) 2.74551 5.20988i 0.137447 0.260820i
\(400\) −1.22198 3.80877i −0.0610992 0.190439i
\(401\) −1.73670 3.00804i −0.0867264 0.150215i 0.819399 0.573223i \(-0.194307\pi\)
−0.906126 + 0.423009i \(0.860974\pi\)
\(402\) −0.0635845 + 1.19216i −0.00317131 + 0.0594598i
\(403\) 0.575610 0.996985i 0.0286732 0.0496634i
\(404\) 19.2082 + 2.05479i 0.955642 + 0.102230i
\(405\) 2.28836 0.113709
\(406\) −25.1497 + 14.0319i −1.24816 + 0.696391i
\(407\) 6.09221i 0.301979i
\(408\) −1.57187 4.12907i −0.0778192 0.204420i
\(409\) 20.4501 + 11.8069i 1.01119 + 0.583812i 0.911541 0.411210i \(-0.134894\pi\)
0.0996521 + 0.995022i \(0.468227\pi\)
\(410\) −0.924204 + 17.3282i −0.0456432 + 0.855778i
\(411\) −10.1498 + 5.86001i −0.500654 + 0.289053i
\(412\) −9.02689 + 12.3762i −0.444723 + 0.609733i
\(413\) −12.5010 + 7.87584i −0.615133 + 0.387545i
\(414\) −1.24709 + 0.633971i −0.0612910 + 0.0311580i
\(415\) 7.35371 4.24567i 0.360979 0.208412i
\(416\) −6.20630 23.5982i −0.304289 1.15700i
\(417\) 8.06323 13.9659i 0.394858 0.683914i
\(418\) 3.61680 + 2.35354i 0.176904 + 0.115115i
\(419\) 7.29588i 0.356427i −0.983992 0.178214i \(-0.942968\pi\)
0.983992 0.178214i \(-0.0570318\pi\)
\(420\) −0.325543 + 4.78220i −0.0158849 + 0.233347i
\(421\) 6.71577i 0.327307i 0.986518 + 0.163653i \(0.0523278\pi\)
−0.986518 + 0.163653i \(0.947672\pi\)
\(422\) 12.9668 19.9267i 0.631213 0.970018i
\(423\) −11.7182 + 20.2966i −0.569760 + 0.986853i
\(424\) 19.0117 + 15.4829i 0.923289 + 0.751917i
\(425\) 1.49339 0.862209i 0.0724401 0.0418233i
\(426\) 4.85353 + 9.54742i 0.235154 + 0.462574i
\(427\) 2.44778 0.0945325i 0.118456 0.00457475i
\(428\) 19.9120 27.3001i 0.962481 1.31960i
\(429\) 4.20192 2.42598i 0.202871 0.117127i
\(430\) 2.45520 + 0.130949i 0.118400 + 0.00631492i
\(431\) −29.3361 16.9372i −1.41307 0.815837i −0.417395 0.908725i \(-0.637057\pi\)
−0.995677 + 0.0928881i \(0.970390\pi\)
\(432\) 13.9001 + 12.6091i 0.668768 + 0.606657i
\(433\) 14.8665i 0.714440i −0.934020 0.357220i \(-0.883725\pi\)
0.934020 0.357220i \(-0.116275\pi\)
\(434\) 0.998499 + 0.0146633i 0.0479295 + 0.000703863i
\(435\) 6.97222 0.334292
\(436\) 1.94901 18.2193i 0.0933406 0.872547i
\(437\) −0.557650 + 0.965879i −0.0266760 + 0.0462042i
\(438\) 9.18736 + 0.490010i 0.438989 + 0.0234136i
\(439\) −6.22389 10.7801i −0.297050 0.514506i 0.678410 0.734684i \(-0.262669\pi\)
−0.975460 + 0.220178i \(0.929336\pi\)
\(440\) −3.46745 0.559057i −0.165304 0.0266520i
\(441\) −6.58637 + 13.7612i −0.313637 + 0.655294i
\(442\) 9.37715 4.76698i 0.446025 0.226742i
\(443\) −5.16402 8.94434i −0.245350 0.424959i 0.716880 0.697197i \(-0.245570\pi\)
−0.962230 + 0.272238i \(0.912236\pi\)
\(444\) −3.60018 8.12656i −0.170857 0.385669i
\(445\) 6.91420 + 3.99191i 0.327764 + 0.189235i
\(446\) −18.4111 + 28.2933i −0.871791 + 1.33973i
\(447\) −13.2992 −0.629031
\(448\) 15.2528 14.6749i 0.720628 0.693322i
\(449\) 18.6590 0.880574 0.440287 0.897857i \(-0.354877\pi\)
0.440287 + 0.897857i \(0.354877\pi\)
\(450\) −1.68108 + 2.58340i −0.0792469 + 0.121783i
\(451\) 13.1954 + 7.61837i 0.621348 + 0.358735i
\(452\) −16.5297 37.3119i −0.777492 1.75501i
\(453\) 7.79349 + 13.4987i 0.366170 + 0.634225i
\(454\) 9.77949 4.97151i 0.458974 0.233324i
\(455\) −11.4039 + 0.440415i −0.534623 + 0.0206470i
\(456\) 6.21537 + 1.00211i 0.291061 + 0.0469279i
\(457\) 5.65988 + 9.80320i 0.264758 + 0.458574i 0.967500 0.252870i \(-0.0813746\pi\)
−0.702742 + 0.711445i \(0.748041\pi\)
\(458\) 6.92518 + 0.369356i 0.323592 + 0.0172589i
\(459\) −4.04528 + 7.00663i −0.188818 + 0.327042i
\(460\) 0.0965585 0.902628i 0.00450207 0.0420852i
\(461\) −25.4553 −1.18557 −0.592785 0.805360i \(-0.701972\pi\)
−0.592785 + 0.805360i \(0.701972\pi\)
\(462\) 3.61360 + 2.15767i 0.168120 + 0.100384i
\(463\) 6.76939i 0.314600i 0.987551 + 0.157300i \(0.0502790\pi\)
−0.987551 + 0.157300i \(0.949721\pi\)
\(464\) −22.8034 20.6856i −1.05862 0.960304i
\(465\) −0.209370 0.120880i −0.00970928 0.00560565i
\(466\) 24.2486 + 1.29330i 1.12329 + 0.0599112i
\(467\) 18.0857 10.4418i 0.836908 0.483189i −0.0193043 0.999814i \(-0.506145\pi\)
0.856212 + 0.516625i \(0.172812\pi\)
\(468\) −11.0797 + 15.1907i −0.512158 + 0.702190i
\(469\) −1.31432 2.08617i −0.0606897 0.0963302i
\(470\) −6.89156 13.5564i −0.317884 0.625312i
\(471\) −8.39613 + 4.84751i −0.386873 + 0.223361i
\(472\) −12.2476 9.97429i −0.563740 0.459104i
\(473\) 1.07944 1.86964i 0.0496325 0.0859660i
\(474\) 7.71455 11.8553i 0.354341 0.544534i
\(475\) 2.45721i 0.112745i
\(476\) 7.57417 + 5.08855i 0.347162 + 0.233233i
\(477\) 18.8929i 0.865047i
\(478\) 26.7521 + 17.4082i 1.22361 + 0.796235i
\(479\) 1.45807 2.52546i 0.0666211 0.115391i −0.830791 0.556585i \(-0.812111\pi\)
0.897412 + 0.441194i \(0.145445\pi\)
\(480\) −4.95569 + 1.30334i −0.226195 + 0.0594891i
\(481\) 18.3272 10.5812i 0.835647 0.482461i
\(482\) 3.63070 1.84571i 0.165374 0.0840696i
\(483\) −0.507142 + 0.962355i −0.0230758 + 0.0437887i
\(484\) 11.1469 15.2828i 0.506676 0.694674i
\(485\) 3.40232 1.96433i 0.154491 0.0891956i
\(486\) 1.21629 22.8046i 0.0551720 1.03444i
\(487\) −10.0582 5.80712i −0.455782 0.263146i 0.254487 0.967076i \(-0.418093\pi\)
−0.710269 + 0.703930i \(0.751427\pi\)
\(488\) 0.931684 + 2.44740i 0.0421754 + 0.110788i
\(489\) 22.7298i 1.02788i
\(490\) −5.15335 8.45239i −0.232805 0.381840i
\(491\) −2.26191 −0.102079 −0.0510393 0.998697i \(-0.516253\pi\)
−0.0510393 + 0.998697i \(0.516253\pi\)
\(492\) 22.1038 + 2.36455i 0.996515 + 0.106602i
\(493\) 6.63639 11.4946i 0.298888 0.517689i
\(494\) −0.798331 + 14.9682i −0.0359186 + 0.673449i
\(495\) 1.35318 + 2.34377i 0.0608207 + 0.105345i
\(496\) 0.326134 + 1.01652i 0.0146439 + 0.0456431i
\(497\) −19.5689 10.3124i −0.877785 0.462575i
\(498\) −4.92948 9.69680i −0.220895 0.434524i
\(499\) 11.8706 + 20.5606i 0.531403 + 0.920417i 0.999328 + 0.0366488i \(0.0116683\pi\)
−0.467925 + 0.883768i \(0.654998\pi\)
\(500\) −0.810092 1.82859i −0.0362284 0.0817771i
\(501\) 5.04511 + 2.91280i 0.225399 + 0.130134i
\(502\) 14.6674 + 9.54439i 0.654636 + 0.425987i
\(503\) −11.0460 −0.492515 −0.246258 0.969204i \(-0.579201\pi\)
−0.246258 + 0.969204i \(0.579201\pi\)
\(504\) −16.1898 1.97275i −0.721149 0.0878733i
\(505\) 9.65888 0.429814
\(506\) −0.668086 0.434739i −0.0297000 0.0193265i
\(507\) 4.39789 + 2.53912i 0.195317 + 0.112766i
\(508\) 9.47719 4.19853i 0.420482 0.186280i
\(509\) 20.3574 + 35.2600i 0.902325 + 1.56287i 0.824469 + 0.565908i \(0.191474\pi\)
0.0778561 + 0.996965i \(0.475193\pi\)
\(510\) −1.00108 1.96923i −0.0443285 0.0871988i
\(511\) −16.0769 + 10.1287i −0.711201 + 0.448069i
\(512\) 20.0750 + 10.4401i 0.887196 + 0.461392i
\(513\) −5.76433 9.98410i −0.254501 0.440809i
\(514\) −0.425949 + 7.98624i −0.0187878 + 0.352258i
\(515\) −3.82962 + 6.63310i −0.168753 + 0.292289i
\(516\) 0.335029 3.13185i 0.0147488 0.137872i
\(517\) −13.3531 −0.587269
\(518\) 15.7611 + 9.41094i 0.692504 + 0.413493i
\(519\) 1.96705i 0.0863438i
\(520\) −4.34060 11.4021i −0.190348 0.500016i
\(521\) −27.7740 16.0353i −1.21680 0.702519i −0.252567 0.967579i \(-0.581275\pi\)
−0.964232 + 0.265060i \(0.914608\pi\)
\(522\) −1.26351 + 23.6899i −0.0553023 + 1.03688i
\(523\) −18.8270 + 10.8698i −0.823246 + 0.475301i −0.851534 0.524299i \(-0.824328\pi\)
0.0282888 + 0.999600i \(0.490994\pi\)
\(524\) −21.9331 15.9974i −0.958153 0.698850i
\(525\) 0.0924882 + 2.39485i 0.00403652 + 0.104520i
\(526\) 12.5575 6.38375i 0.547534 0.278345i
\(527\) −0.398569 + 0.230114i −0.0173619 + 0.0100239i
\(528\) −0.951744 + 4.39754i −0.0414193 + 0.191378i
\(529\) −11.3970 + 19.7402i −0.495521 + 0.858268i
\(530\) 10.2754 + 6.68642i 0.446333 + 0.290439i
\(531\) 12.1711i 0.528179i
\(532\) −11.6759 + 5.72139i −0.506214 + 0.248054i
\(533\) 52.9276i 2.29255i
\(534\) 5.57834 8.57252i 0.241398 0.370969i
\(535\) 8.44757 14.6316i 0.365220 0.632580i
\(536\) 1.66451 2.04388i 0.0718959 0.0882820i
\(537\) −17.8640 + 10.3138i −0.770887 + 0.445072i
\(538\) 12.5328 + 24.6534i 0.540328 + 1.06288i
\(539\) −8.66642 + 0.670389i −0.373289 + 0.0288757i
\(540\) 7.58122 + 5.52953i 0.326244 + 0.237953i
\(541\) 10.7162 6.18701i 0.460726 0.266000i −0.251624 0.967825i \(-0.580964\pi\)
0.712349 + 0.701825i \(0.247631\pi\)
\(542\) −45.5349 2.42862i −1.95589 0.104318i
\(543\) −15.9131 9.18742i −0.682895 0.394270i
\(544\) −2.56827 + 9.41062i −0.110114 + 0.403477i
\(545\) 9.16163i 0.392441i
\(546\) −0.214676 + 14.6183i −0.00918727 + 0.625606i
\(547\) −31.3301 −1.33958 −0.669790 0.742551i \(-0.733616\pi\)
−0.669790 + 0.742551i \(0.733616\pi\)
\(548\) 25.7297 + 2.75243i 1.09912 + 0.117578i
\(549\) 1.00894 1.74753i 0.0430604 0.0745828i
\(550\) −1.75362 0.0935299i −0.0747746 0.00398813i
\(551\) 9.45652 + 16.3792i 0.402861 + 0.697776i
\(552\) −1.14809 0.185106i −0.0488658 0.00787864i
\(553\) 1.12733 + 29.1905i 0.0479389 + 1.24131i
\(554\) −22.3232 + 11.3482i −0.948420 + 0.482140i
\(555\) −2.22208 3.84875i −0.0943220 0.163371i
\(556\) −32.5539 + 14.4219i −1.38059 + 0.611623i
\(557\) 10.6869 + 6.17008i 0.452818 + 0.261434i 0.709020 0.705189i \(-0.249138\pi\)
−0.256202 + 0.966623i \(0.582471\pi\)
\(558\) 0.448662 0.689482i 0.0189934 0.0291881i
\(559\) 7.49924 0.317184
\(560\) 6.80267 8.10701i 0.287465 0.342584i
\(561\) −1.93969 −0.0818938
\(562\) 3.10359 4.76944i 0.130917 0.201187i
\(563\) −1.58551 0.915395i −0.0668213 0.0385793i 0.466217 0.884670i \(-0.345617\pi\)
−0.533038 + 0.846091i \(0.678950\pi\)
\(564\) −17.8121 + 7.89100i −0.750024 + 0.332271i
\(565\) −10.2024 17.6710i −0.429217 0.743425i
\(566\) 23.9170 12.1585i 1.00531 0.511058i
\(567\) 3.22730 + 5.12255i 0.135534 + 0.215127i
\(568\) 3.76402 23.3456i 0.157935 0.979561i
\(569\) −0.0498347 0.0863162i −0.00208918 0.00361856i 0.864979 0.501808i \(-0.167332\pi\)
−0.867068 + 0.498190i \(0.833998\pi\)
\(570\) 3.14335 + 0.167652i 0.131661 + 0.00702215i
\(571\) 12.9796 22.4813i 0.543178 0.940812i −0.455541 0.890215i \(-0.650554\pi\)
0.998719 0.0505976i \(-0.0161126\pi\)
\(572\) −10.6518 1.13948i −0.445375 0.0476440i
\(573\) −1.52586 −0.0637437
\(574\) −40.0931 + 22.3693i −1.67345 + 0.933677i
\(575\) 0.453889i 0.0189285i
\(576\) −3.53036 17.0744i −0.147098 0.711435i
\(577\) 1.28600 + 0.742473i 0.0535369 + 0.0309096i 0.526530 0.850157i \(-0.323493\pi\)
−0.472993 + 0.881066i \(0.656826\pi\)
\(578\) 19.8081 + 1.05647i 0.823910 + 0.0439435i
\(579\) 19.3450 11.1688i 0.803950 0.464161i
\(580\) −12.4372 9.07133i −0.516425 0.376667i
\(581\) 19.8751 + 10.4738i 0.824557 + 0.434526i
\(582\) −2.28071 4.48639i −0.0945383 0.185967i
\(583\) 9.32223 5.38219i 0.386087 0.222908i
\(584\) −15.7510 12.8275i −0.651782 0.530804i
\(585\) −4.70051 + 8.14152i −0.194342 + 0.336610i
\(586\) −8.01002 + 12.3094i −0.330891 + 0.508497i
\(587\) 31.1081i 1.28397i 0.766717 + 0.641985i \(0.221889\pi\)
−0.766717 + 0.641985i \(0.778111\pi\)
\(588\) −11.1642 + 6.01566i −0.460404 + 0.248082i
\(589\) 0.655802i 0.0270219i
\(590\) −6.61952 4.30748i −0.272521 0.177336i
\(591\) 0.753830 1.30567i 0.0310084 0.0537081i
\(592\) −4.15114 + 19.1804i −0.170611 + 0.788308i
\(593\) −8.02645 + 4.63407i −0.329607 + 0.190299i −0.655667 0.755051i \(-0.727612\pi\)
0.326060 + 0.945349i \(0.394279\pi\)
\(594\) 7.34469 3.73376i 0.301356 0.153198i
\(595\) 4.03623 + 2.12701i 0.165469 + 0.0871991i
\(596\) 23.7234 + 17.3032i 0.971747 + 0.708766i
\(597\) −10.0367 + 5.79467i −0.410773 + 0.237160i
\(598\) 0.147465 2.76487i 0.00603031 0.113064i
\(599\) −3.48534 2.01226i −0.142407 0.0822188i 0.427104 0.904203i \(-0.359534\pi\)
−0.569511 + 0.821984i \(0.692867\pi\)
\(600\) −2.39447 + 0.911537i −0.0977539 + 0.0372133i
\(601\) 23.8545i 0.973047i 0.873667 + 0.486524i \(0.161735\pi\)
−0.873667 + 0.486524i \(0.838265\pi\)
\(602\) 3.16947 + 5.68073i 0.129178 + 0.231529i
\(603\) −2.03111 −0.0827131
\(604\) 3.66059 34.2191i 0.148947 1.39236i
\(605\) 4.72902 8.19090i 0.192262 0.333007i
\(606\) 0.659010 12.3560i 0.0267705 0.501928i
\(607\) −18.6259 32.2611i −0.756003 1.30944i −0.944874 0.327434i \(-0.893816\pi\)
0.188871 0.982002i \(-0.439517\pi\)
\(608\) −9.78328 9.87419i −0.396764 0.400451i
\(609\) 9.83302 + 15.6075i 0.398454 + 0.632449i
\(610\) 0.593362 + 1.16721i 0.0240245 + 0.0472588i
\(611\) −23.1923 40.1702i −0.938258 1.62511i
\(612\) 6.87237 3.04456i 0.277799 0.123069i
\(613\) −6.65132 3.84014i −0.268644 0.155102i 0.359627 0.933096i \(-0.382904\pi\)
−0.628271 + 0.777994i \(0.716237\pi\)
\(614\) 25.4218 + 16.5426i 1.02594 + 0.667604i
\(615\) 11.1149 0.448198
\(616\) −3.63872 8.55043i −0.146608 0.344507i
\(617\) −27.6806 −1.11438 −0.557189 0.830386i \(-0.688120\pi\)
−0.557189 + 0.830386i \(0.688120\pi\)
\(618\) 8.22400 + 5.35155i 0.330818 + 0.215271i
\(619\) 25.7376 + 14.8596i 1.03448 + 0.597258i 0.918265 0.395966i \(-0.129590\pi\)
0.116216 + 0.993224i \(0.462923\pi\)
\(620\) 0.216205 + 0.488031i 0.00868298 + 0.0195998i
\(621\) 1.06477 + 1.84424i 0.0427277 + 0.0740066i
\(622\) 5.09799 + 10.0283i 0.204411 + 0.402098i
\(623\) 0.815164 + 21.1075i 0.0326589 + 0.845653i
\(624\) −14.8821 + 4.77470i −0.595762 + 0.191141i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 0.786314 14.7428i 0.0314274 0.589242i
\(627\) 1.38198 2.39366i 0.0551910 0.0955936i
\(628\) 21.2841 + 2.27687i 0.849328 + 0.0908568i
\(629\) −8.46019 −0.337330
\(630\) −8.15388 0.119743i −0.324858 0.00477067i
\(631\) 1.25766i 0.0500665i −0.999687 0.0250332i \(-0.992031\pi\)
0.999687 0.0250332i \(-0.00796916\pi\)
\(632\) −29.1859 + 11.1106i −1.16095 + 0.441956i
\(633\) −13.1878 7.61400i −0.524170 0.302629i
\(634\) 0.510035 9.56280i 0.0202561 0.379787i
\(635\) 4.48842 2.59139i 0.178117 0.102836i
\(636\) 9.25458 12.6884i 0.366968 0.503128i
\(637\) −17.0689 24.9068i −0.676296 0.986845i
\(638\) −12.0492 + 6.12532i −0.477031 + 0.242504i
\(639\) −15.7801 + 9.11067i −0.624253 + 0.360412i
\(640\) 10.5358 + 4.12277i 0.416463 + 0.162967i
\(641\) 24.7738 42.9096i 0.978508 1.69483i 0.310672 0.950517i \(-0.399446\pi\)
0.667836 0.744309i \(-0.267221\pi\)
\(642\) −18.1409 11.8047i −0.715965 0.465895i
\(643\) 44.6117i 1.75931i −0.475608 0.879657i \(-0.657772\pi\)
0.475608 0.879657i \(-0.342228\pi\)
\(644\) 2.15674 1.05684i 0.0849874 0.0416453i
\(645\) 1.57486i 0.0620100i
\(646\) 3.26834 5.02262i 0.128591 0.197612i
\(647\) 16.9430 29.3462i 0.666098 1.15372i −0.312888 0.949790i \(-0.601296\pi\)
0.978986 0.203926i \(-0.0653703\pi\)
\(648\) −4.08718 + 5.01871i −0.160560 + 0.197154i
\(649\) −6.00550 + 3.46728i −0.235736 + 0.136103i
\(650\) −2.76440 5.43786i −0.108429 0.213290i
\(651\) −0.0246841 0.639158i −0.000967445 0.0250506i
\(652\) 29.5730 40.5458i 1.15817 1.58790i
\(653\) −31.0838 + 17.9462i −1.21640 + 0.702291i −0.964147 0.265370i \(-0.914506\pi\)
−0.252256 + 0.967660i \(0.581173\pi\)
\(654\) −11.7199 0.625084i −0.458284 0.0244427i
\(655\) −11.7551 6.78684i −0.459312 0.265184i
\(656\) −36.3527 32.9764i −1.41933 1.28751i
\(657\) 15.6526i 0.610667i
\(658\) 20.6272 34.5458i 0.804133 1.34673i
\(659\) −2.82512 −0.110051 −0.0550255 0.998485i \(-0.517524\pi\)
−0.0550255 + 0.998485i \(0.517524\pi\)
\(660\) −0.239293 + 2.23691i −0.00931449 + 0.0870717i
\(661\) −8.31035 + 14.3939i −0.323235 + 0.559860i −0.981154 0.193230i \(-0.938104\pi\)
0.657919 + 0.753089i \(0.271437\pi\)
\(662\) −15.8112 0.843297i −0.614521 0.0327757i
\(663\) −3.36894 5.83517i −0.130839 0.226619i
\(664\) −3.82291 + 23.7109i −0.148358 + 0.920162i
\(665\) −5.50054 + 3.46544i −0.213302 + 0.134384i
\(666\) 13.4798 6.85262i 0.522333 0.265534i
\(667\) −1.74678 3.02551i −0.0676356 0.117148i
\(668\) −5.20981 11.7599i −0.201574 0.455005i
\(669\) 18.7250 + 10.8109i 0.723949 + 0.417972i
\(670\) 0.718832 1.10467i 0.0277709 0.0426770i
\(671\) 1.14970 0.0443837
\(672\) −9.90664 9.25535i −0.382157 0.357033i
\(673\) −28.1914 −1.08670 −0.543349 0.839507i \(-0.682844\pi\)
−0.543349 + 0.839507i \(0.682844\pi\)
\(674\) −18.8907 + 29.0303i −0.727643 + 1.11821i
\(675\) 4.06319 + 2.34588i 0.156392 + 0.0902930i
\(676\) −4.54146 10.2513i −0.174672 0.394280i
\(677\) 12.3523 + 21.3947i 0.474736 + 0.822266i 0.999581 0.0289312i \(-0.00921037\pi\)
−0.524846 + 0.851197i \(0.675877\pi\)
\(678\) −23.3015 + 11.8456i −0.894888 + 0.454926i
\(679\) 9.19555 + 4.84587i 0.352893 + 0.185968i
\(680\) −0.776357 + 4.81521i −0.0297719 + 0.184655i
\(681\) −3.51349 6.08554i −0.134637 0.233198i
\(682\) 0.468022 + 0.0249621i 0.0179215 + 0.000955847i
\(683\) 1.55667 2.69624i 0.0595645 0.103169i −0.834706 0.550697i \(-0.814362\pi\)
0.894270 + 0.447528i \(0.147695\pi\)
\(684\) −1.13928 + 10.6500i −0.0435615 + 0.407212i
\(685\) 12.9383 0.494345
\(686\) 11.6531 23.4565i 0.444917 0.895572i
\(687\) 4.44207i 0.169475i
\(688\) −4.67238 + 5.15075i −0.178133 + 0.196371i
\(689\) 32.3825 + 18.6960i 1.23367 + 0.712262i
\(690\) −0.580631 0.0309681i −0.0221042 0.00117894i
\(691\) −17.8344 + 10.2967i −0.678451 + 0.391704i −0.799271 0.600970i \(-0.794781\pi\)
0.120820 + 0.992674i \(0.461448\pi\)
\(692\) −2.55926 + 3.50886i −0.0972886 + 0.133387i
\(693\) −3.33820 + 6.33457i −0.126808 + 0.240631i
\(694\) 10.5253 + 20.7043i 0.399534 + 0.785925i
\(695\) −15.4176 + 8.90137i −0.584824 + 0.337648i
\(696\) −12.4529 + 15.2912i −0.472028 + 0.579610i
\(697\) 10.5796 18.3243i 0.400729 0.694084i
\(698\) 0.147789 0.227116i 0.00559391 0.00859646i
\(699\) 15.5539i 0.588304i
\(700\) 2.95088 4.39230i 0.111533 0.166013i
\(701\) 3.67022i 0.138622i 0.997595 + 0.0693111i \(0.0220801\pi\)
−0.997595 + 0.0693111i \(0.977920\pi\)
\(702\) 23.9888 + 15.6101i 0.905400 + 0.589165i
\(703\) 6.02767 10.4402i 0.227338 0.393761i
\(704\) 7.41923 6.60612i 0.279623 0.248978i
\(705\) −8.43584 + 4.87043i −0.317712 + 0.183431i
\(706\) 28.1791 14.3252i 1.06054 0.539135i
\(707\) 13.6220 + 21.6217i 0.512310 + 0.813167i
\(708\) −5.96192 + 8.17403i −0.224063 + 0.307199i
\(709\) 2.73543 1.57930i 0.102731 0.0593118i −0.447754 0.894157i \(-0.647776\pi\)
0.550485 + 0.834845i \(0.314443\pi\)
\(710\) 0.629718 11.8068i 0.0236329 0.443100i
\(711\) 20.8398 + 12.0319i 0.781554 + 0.451231i
\(712\) −21.1042 + 8.03402i −0.790913 + 0.301088i
\(713\) 0.121138i 0.00453665i
\(714\) 2.99634 5.01817i 0.112135 0.187800i
\(715\) −5.35630 −0.200314
\(716\) 45.2850 + 4.84436i 1.69238 + 0.181042i
\(717\) 10.2220 17.7050i 0.381748 0.661206i
\(718\) −1.78075 + 33.3878i −0.0664569 + 1.24602i
\(719\) −10.8001 18.7063i −0.402775 0.697626i 0.591285 0.806463i \(-0.298621\pi\)
−0.994060 + 0.108837i \(0.965287\pi\)
\(720\) −2.66326 8.30103i −0.0992537 0.309361i
\(721\) −20.2493 + 0.782023i −0.754125 + 0.0291241i
\(722\) −8.30708 16.3409i −0.309158 0.608146i
\(723\) −1.30440 2.25929i −0.0485113 0.0840241i
\(724\) 16.4326 + 37.0927i 0.610711 + 1.37854i
\(725\) −6.66576 3.84848i −0.247560 0.142929i
\(726\) −10.1554 6.60838i −0.376904 0.245260i
\(727\) −48.4533 −1.79703 −0.898516 0.438941i \(-0.855354\pi\)
−0.898516 + 0.438941i \(0.855354\pi\)
\(728\) 19.4024 25.7971i 0.719099 0.956104i
\(729\) −7.76263 −0.287505
\(730\) −8.51305 5.53964i −0.315082 0.205031i
\(731\) −2.59635 1.49900i −0.0960294 0.0554426i
\(732\) 1.53362 0.679413i 0.0566841 0.0251118i
\(733\) −7.62984 13.2153i −0.281814 0.488117i 0.690017 0.723793i \(-0.257603\pi\)
−0.971832 + 0.235676i \(0.924270\pi\)
\(734\) −11.5373 22.6951i −0.425850 0.837693i
\(735\) −5.23050 + 3.58452i −0.192930 + 0.132217i
\(736\) 1.80714 + 1.82393i 0.0666121 + 0.0672310i
\(737\) −0.578619 1.00220i −0.0213137 0.0369165i
\(738\) −2.01426 + 37.7659i −0.0741458 + 1.39018i
\(739\) 3.14394 5.44547i 0.115652 0.200315i −0.802388 0.596802i \(-0.796438\pi\)
0.918040 + 0.396488i \(0.129771\pi\)
\(740\) −1.04371 + 9.75655i −0.0383674 + 0.358658i
\(741\) 9.60113 0.352706
\(742\) −0.476271 + 32.4316i −0.0174845 + 1.19060i
\(743\) 32.4205i 1.18939i 0.803950 + 0.594697i \(0.202728\pi\)
−0.803950 + 0.594697i \(0.797272\pi\)
\(744\) 0.639058 0.243279i 0.0234290 0.00891904i
\(745\) 12.7146 + 7.34080i 0.465829 + 0.268946i
\(746\) −1.87600 + 35.1737i −0.0686852 + 1.28780i
\(747\) 16.0270 9.25322i 0.586399 0.338558i
\(748\) 3.46005 + 2.52367i 0.126512 + 0.0922745i
\(749\) 44.6670 1.72503i 1.63210 0.0630311i
\(750\) −1.14196 + 0.580530i −0.0416987 + 0.0211980i
\(751\) −36.4730 + 21.0577i −1.33092 + 0.768406i −0.985440 0.170022i \(-0.945616\pi\)
−0.345477 + 0.938427i \(0.612283\pi\)
\(752\) 42.0402 + 9.09862i 1.53305 + 0.331792i
\(753\) 5.60440 9.70710i 0.204236 0.353747i
\(754\) −39.3543 25.6087i −1.43320 0.932615i
\(755\) 17.2072i 0.626233i
\(756\) −1.68614 + 24.7692i −0.0613242 + 0.900845i
\(757\) 14.3036i 0.519875i −0.965625 0.259937i \(-0.916298\pi\)
0.965625 0.259937i \(-0.0837019\pi\)
\(758\) −3.02021 + 4.64131i −0.109699 + 0.168580i
\(759\) −0.255276 + 0.442150i −0.00926592 + 0.0160490i
\(760\) −5.38904 4.38877i −0.195481 0.159198i
\(761\) 11.5548 6.67119i 0.418862 0.241830i −0.275728 0.961236i \(-0.588919\pi\)
0.694590 + 0.719405i \(0.255586\pi\)
\(762\) −3.00876 5.91855i −0.108996 0.214406i
\(763\) 20.5086 12.9208i 0.742460 0.467763i
\(764\) 2.72186 + 1.98525i 0.0984733 + 0.0718238i
\(765\) 3.25477 1.87914i 0.117676 0.0679405i
\(766\) 23.3634 + 1.24609i 0.844152 + 0.0450231i
\(767\) −20.8612 12.0442i −0.753255 0.434892i
\(768\) 5.99284 13.1965i 0.216248 0.476186i
\(769\) 16.2042i 0.584338i −0.956367 0.292169i \(-0.905623\pi\)
0.956367 0.292169i \(-0.0943770\pi\)
\(770\) −2.26378 4.05744i −0.0815811 0.146220i
\(771\) 5.12267 0.184489
\(772\) −49.0393 5.24598i −1.76496 0.188807i
\(773\) 6.10743 10.5784i 0.219669 0.380478i −0.735038 0.678026i \(-0.762836\pi\)
0.954707