Properties

Label 280.2.bj.f.131.4
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 131.4
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.4

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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 −0.256142 0.966639i \(-0.582451\pi\)
0.709063 + 0.705145i \(0.249118\pi\)
\(4\) −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 0.944316 0.329039i \(-0.106725\pi\)
−0.757114 + 0.653283i \(0.773391\pi\)
\(12\) 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 −0.670046 0.742320i \(-0.733725\pi\)
0.307845 + 0.951436i \(0.400392\pi\)
\(18\) 3.07783 0.164157i 0.725452 0.0386922i
\(19\) 2.12801 + 1.22861i 0.488198 + 0.281861i 0.723827 0.689982i \(-0.242382\pi\)
−0.235628 + 0.971843i \(0.575715\pi\)
\(20\) −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 0.458459 0.888716i \(-0.348402\pi\)
−0.540421 + 0.841395i \(0.681735\pi\)
\(24\) 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 \(-0.746589\pi\)
0.699488 0.714644i \(-0.253411\pi\)
\(30\) 1.07374 0.698705i 0.196037 0.127566i
\(31\) 0.133444 + 0.231133i 0.0239673 + 0.0415126i 0.877760 0.479100i \(-0.159037\pi\)
−0.853793 + 0.520613i \(0.825704\pi\)
\(32\) −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 0.806789 0.590840i \(-0.201204\pi\)
−0.108288 + 0.994120i \(0.534537\pi\)
\(38\) −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 \(-0.592416\pi\)
0.286271 0.958149i \(-0.407584\pi\)
\(42\) −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 0.145162 + 0.989408i \(0.453630\pi\)
−0.929434 + 0.368990i \(0.879704\pi\)
\(48\) −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 0.113875 0.993495i \(-0.463674\pi\)
0.917329 + 0.398129i \(0.130340\pi\)
\(54\) 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 −0.780609 0.625020i \(-0.785091\pi\)
0.150978 + 0.988537i \(0.451758\pi\)
\(60\) −1.65642 0.733815i −0.213842 0.0947351i
\(61\) 0.462932 0.801822i 0.0592724 0.102663i −0.834867 0.550452i \(-0.814455\pi\)
0.894139 + 0.447790i \(0.147789\pi\)
\(62\) 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 0.893085 0.449889i \(-0.148536\pi\)
−0.836158 + 0.548489i \(0.815203\pi\)
\(68\) −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 \(0.165237\pi\)
−0.868262 + 0.496105i \(0.834763\pi\)
\(72\) −2.19315 + 5.76109i −0.258465 + 0.678951i
\(73\) −6.21972 + 3.59095i −0.727963 + 0.420289i −0.817676 0.575678i \(-0.804738\pi\)
0.0897137 + 0.995968i \(0.471405\pi\)
\(74\) −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 −0.146043 0.989278i \(-0.546654\pi\)
−0.929762 + 0.368162i \(0.879987\pi\)
\(80\) 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 \(-0.845687\pi\)
0.884773 0.466022i \(-0.154313\pi\)
\(84\) −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 0.0865800 0.996245i \(-0.472406\pi\)
−0.819483 + 0.573103i \(0.805740\pi\)
\(90\) −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 \(-0.936085\pi\)
0.979909 0.199447i \(-0.0639147\pi\)
\(98\) 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 0.519204 0.854651i \(-0.326229\pi\)
−0.999751 + 0.0223184i \(0.992895\pi\)
\(102\) 2.20594 0.117654i 0.218420 0.0116495i
\(103\) −3.82962 + 6.63310i −0.377344 + 0.653578i −0.990675 0.136247i \(-0.956496\pi\)
0.613331 + 0.789826i \(0.289829\pi\)
\(104\) 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 −0.0914746 0.995807i \(-0.529158\pi\)
0.908132 0.418684i \(-0.137509\pi\)
\(108\) −8.57932 3.80076i −0.825546 0.365728i
\(109\) 7.93420 4.58081i 0.759959 0.438762i −0.0693221 0.997594i \(-0.522084\pi\)
0.829281 + 0.558832i \(0.188750\pi\)
\(110\) 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 \(-0.926144\pi\)
0.973203 0.229949i \(-0.0738558\pi\)
\(128\) −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 0.916139 0.400861i \(-0.131289\pi\)
0.110913 + 0.993830i \(0.464622\pi\)
\(132\) −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 −0.998079 0.0619561i \(-0.980266\pi\)
0.445384 0.895340i \(-0.353067\pi\)
\(138\) 0.317135 + 0.487357i 0.0269963 + 0.0414866i
\(139\) 17.8027i 1.51001i 0.655720 + 0.755004i \(0.272365\pi\)
−0.655720 + 0.755004i \(0.727635\pi\)
\(140\) 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 −0.121331 0.992612i \(-0.538716\pi\)
−0.920293 + 0.391230i \(0.872050\pi\)
\(150\) 0.0682284 + 1.27924i 0.00557083 + 0.104449i
\(151\) 14.9018 8.60359i 1.21270 0.700150i 0.249350 0.968414i \(-0.419783\pi\)
0.963346 + 0.268264i \(0.0864498\pi\)
\(152\) 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 0.569526 0.821974i \(-0.307127\pi\)
−0.996613 + 0.0822369i \(0.973794\pi\)
\(158\) 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 0.330936 0.943653i \(-0.392636\pi\)
0.651760 0.758426i \(-0.274031\pi\)
\(164\) 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 −0.904344 0.426804i \(-0.859639\pi\)
0.821795 + 0.569783i \(0.192973\pi\)
\(174\) −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 −0.880291 0.474434i \(-0.842653\pi\)
0.0292733 0.999571i \(-0.490681\pi\)
\(180\) 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 0.446293 0.894887i \(-0.352744\pi\)
−0.551848 + 0.833945i \(0.686077\pi\)
\(192\) 4.81905 5.41220i 0.347785 0.390592i
\(193\) 12.3298 + 21.3558i 0.887517 + 1.53722i 0.842801 + 0.538225i \(0.180905\pi\)
0.0447160 + 0.999000i \(0.485762\pi\)
\(194\) −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 \(0.0188839\pi\)
−0.998241 + 0.0592908i \(0.981116\pi\)
\(198\) 2.08750 + 3.20796i 0.148352 + 0.227980i
\(199\) −6.39700 11.0799i −0.453471 0.785435i 0.545128 0.838353i \(-0.316481\pi\)
−0.998599 + 0.0529181i \(0.983148\pi\)
\(200\) −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 −0.706095 0.708117i \(-0.749545\pi\)
0.260199 + 0.965555i \(0.416212\pi\)
\(228\) −1.80314 + 4.07016i −0.119416 + 0.269553i
\(229\) −2.45190 + 4.24681i −0.162026 + 0.280637i −0.935595 0.353075i \(-0.885136\pi\)
0.773569 + 0.633712i \(0.218470\pi\)
\(230\) −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 0.434838 + 0.900509i \(0.356806\pi\)
−0.997282 + 0.0736741i \(0.976528\pi\)
\(234\) 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 \(0.260450\pi\)
−0.683516 + 0.729935i \(0.739550\pi\)
\(240\) 2.68370 2.43445i 0.173232 0.157143i
\(241\) −2.49414 + 1.43999i −0.160662 + 0.0927580i −0.578175 0.815913i \(-0.696235\pi\)
0.417514 + 0.908671i \(0.362902\pi\)
\(242\) −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 \(0.127704\pi\)
−0.920596 + 0.390517i \(0.872296\pi\)
\(252\) 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 0.644910 0.764258i \(-0.276895\pi\)
−0.339412 + 0.940638i \(0.610228\pi\)
\(258\) −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 −0.741803 0.670618i \(-0.766029\pi\)
0.209871 + 0.977729i \(0.432696\pi\)
\(264\) 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 0.993381 + 0.114869i \(0.0366449\pi\)
−0.397211 + 0.917727i \(0.630022\pi\)
\(270\) 0.353386 + 6.62574i 0.0215064 + 0.403230i
\(271\) 16.1219 27.9240i 0.979336 1.69626i 0.314522 0.949250i \(-0.398156\pi\)
0.664814 0.747009i \(-0.268511\pi\)
\(272\) 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 0.0373155 0.999304i \(-0.488119\pi\)
0.884080 + 0.467336i \(0.154786\pi\)
\(278\) 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 −0.901260 0.433278i \(-0.857357\pi\)
−0.0754004 + 0.997153i \(0.524023\pi\)
\(284\) −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 \(0.209641\pi\)
−0.790846 + 0.612015i \(0.790359\pi\)
\(308\) −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 0.956480 0.291797i \(-0.0942532\pi\)
−0.730944 + 0.682438i \(0.760920\pi\)
\(312\) 8.56937 6.97880i 0.485145 0.395097i
\(313\) −9.04094 5.21979i −0.511024 0.295040i 0.222230 0.974994i \(-0.428666\pi\)
−0.733255 + 0.679954i \(0.762000\pi\)
\(314\) −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 0.326190 0.945304i \(-0.394235\pi\)
−0.655563 + 0.755141i \(0.727568\pi\)
\(318\) −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 −0.670161 0.742216i \(-0.733775\pi\)
0.977858 + 0.209268i \(0.0671083\pi\)
\(332\) 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 0.997751 0.0670312i \(-0.0213527\pi\)
−0.556926 + 0.830562i \(0.688019\pi\)
\(348\) 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 −0.917075 0.398714i \(-0.869457\pi\)
−0.113241 + 0.993568i \(0.536123\pi\)
\(354\) 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 0.931064 0.364857i \(-0.118882\pi\)
0.149556 + 0.988753i \(0.452216\pi\)
\(360\) −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 0.529545 0.848282i \(-0.322363\pi\)
−0.999406 + 0.0344586i \(0.989029\pi\)
\(368\) 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 0.940596 0.339529i \(-0.110268\pi\)
0.176257 + 0.984344i \(0.443601\pi\)
\(374\) 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 −0.996200 0.0870922i \(-0.972243\pi\)
0.573524 + 0.819189i \(0.305576\pi\)
\(384\) −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 −0.878890 0.477025i \(-0.841715\pi\)
−0.0263290 + 0.999653i \(0.508382\pi\)
\(390\) 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 −0.524809 0.851220i \(-0.675863\pi\)
0.999583 + 0.0288882i \(0.00919669\pi\)
\(398\) −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 −0.906126 0.423009i \(-0.860974\pi\)
0.819399 + 0.573223i \(0.194307\pi\)
\(402\) −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 0.0996521 0.995022i \(-0.468227\pi\)
0.911541 + 0.411210i \(0.134894\pi\)
\(410\) −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 \(0.0570318\pi\)
−0.983992 + 0.178214i \(0.942968\pi\)
\(420\) −0.325543 4.78220i −0.0158849 0.233347i
\(421\) 6.71577i 0.327307i −0.986518 0.163653i \(-0.947672\pi\)
0.986518 0.163653i \(-0.0523278\pi\)
\(422\) 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 −0.995677 0.0928881i \(-0.970390\pi\)
−0.417395 + 0.908725i \(0.637057\pi\)
\(432\) 13.9001 12.6091i 0.668768 0.606657i
\(433\) 14.8665i 0.714440i 0.934020 + 0.357220i \(0.116275\pi\)
−0.934020 + 0.357220i \(0.883725\pi\)
\(434\) 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 −0.975460 0.220178i \(-0.929336\pi\)
0.678410 + 0.734684i \(0.262669\pi\)
\(440\) −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 −0.962230 0.272238i \(-0.912236\pi\)
0.716880 + 0.697197i \(0.245570\pi\)
\(444\) −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 −0.702742 0.711445i \(-0.748041\pi\)
0.967500 + 0.252870i \(0.0813746\pi\)
\(458\) 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 \(-0.949721\pi\)
0.987551 0.157300i \(-0.0502790\pi\)
\(464\) −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 0.856212 0.516625i \(-0.172812\pi\)
−0.0193043 + 0.999814i \(0.506145\pi\)
\(468\) −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 0.897412 0.441194i \(-0.145445\pi\)
−0.830791 + 0.556585i \(0.812111\pi\)
\(480\) −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 −0.710269 0.703930i \(-0.751427\pi\)
0.254487 + 0.967076i \(0.418093\pi\)
\(488\) 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 −0.467925 0.883768i \(-0.654998\pi\)
0.999328 0.0366488i \(-0.0116683\pi\)
\(500\) −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 0.0778561 0.996965i \(-0.475193\pi\)
0.824469 0.565908i \(-0.191474\pi\)
\(510\) −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 −0.964232 0.265060i \(-0.914608\pi\)
−0.252567 + 0.967579i \(0.581275\pi\)
\(522\) −1.26351 23.6899i −0.0553023 1.03688i
\(523\) −18.8270 10.8698i −0.823246 0.475301i 0.0282888 0.999600i \(-0.490994\pi\)
−0.851534 + 0.524299i \(0.824328\pi\)
\(524\) −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 0.712349 0.701825i \(-0.247631\pi\)
−0.251624 + 0.967825i \(0.580964\pi\)
\(542\) −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 −0.256202 0.966623i \(-0.582471\pi\)
0.709020 + 0.705189i \(0.249138\pi\)
\(558\) 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 −0.533038 0.846091i \(-0.678950\pi\)
0.466217 + 0.884670i \(0.345617\pi\)
\(564\) −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 −0.867068 0.498190i \(-0.833998\pi\)
0.864979 + 0.501808i \(0.167332\pi\)
\(570\) 3.14335 0.167652i 0.131661 0.00702215i
\(571\) 12.9796 + 22.4813i 0.543178 + 0.940812i 0.998719 + 0.0505976i \(0.0161126\pi\)
−0.455541 + 0.890215i \(0.650554\pi\)
\(572\) −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 −0.472993 0.881066i \(-0.656826\pi\)
0.526530 + 0.850157i \(0.323493\pi\)
\(578\) 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 \(-0.778111\pi\)
0.766717 0.641985i \(-0.221889\pi\)
\(588\) −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 0.326060 0.945349i \(-0.394279\pi\)
−0.655667 + 0.755051i \(0.727612\pi\)
\(594\) 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 −0.569511 0.821984i \(-0.692867\pi\)
0.427104 + 0.904203i \(0.359534\pi\)
\(600\) −2.39447 0.911537i −0.0977539 0.0372133i
\(601\) 23.8545i 0.973047i −0.873667 0.486524i \(-0.838265\pi\)
0.873667 0.486524i \(-0.161735\pi\)
\(602\) 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 0.188871 + 0.982002i \(0.439517\pi\)
−0.944874 + 0.327434i \(0.893816\pi\)
\(608\) −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 −0.628271 0.777994i \(-0.716237\pi\)
0.359627 + 0.933096i \(0.382904\pi\)
\(614\) 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 0.116216 0.993224i \(-0.462923\pi\)
0.918265 + 0.395966i \(0.129590\pi\)
\(620\) 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 \(0.00796916\pi\)
−0.999687 + 0.0250332i \(0.992031\pi\)
\(632\) −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 0.667836 + 0.744309i \(0.267221\pi\)
0.310672 + 0.950517i \(0.399446\pi\)
\(642\) −18.1409 + 11.8047i −0.715965 + 0.465895i
\(643\) 44.6117i 1.75931i 0.475608 + 0.879657i \(0.342228\pi\)
−0.475608 + 0.879657i \(0.657772\pi\)
\(644\) 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 0.978986 + 0.203926i \(0.0653703\pi\)
−0.312888 + 0.949790i \(0.601296\pi\)
\(648\) −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 −0.252256 0.967660i \(-0.581173\pi\)
−0.964147 + 0.265370i \(0.914506\pi\)
\(654\) −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 0.657919 0.753089i \(-0.271437\pi\)
−0.981154 + 0.193230i \(0.938104\pi\)
\(662\) −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 −0.524846 0.851197i \(-0.675877\pi\)
0.999581 + 0.0289312i \(0.00921037\pi\)
\(678\) −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 0.894270 0.447528i \(-0.147695\pi\)
−0.834706 + 0.550697i \(0.814362\pi\)
\(684\) −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 0.120820 0.992674i \(-0.461448\pi\)
−0.799271 + 0.600970i \(0.794781\pi\)
\(692\) −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 \(-0.977920\pi\)
0.997595 0.0693111i \(-0.0220801\pi\)
\(702\) 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 0.550485 0.834845i \(-0.314443\pi\)
−0.447754 + 0.894157i \(0.647776\pi\)
\(710\) 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 −0.994060 0.108837i \(-0.965287\pi\)
0.591285 + 0.806463i \(0.298621\pi\)
\(720\) −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 −0.971832 0.235676i \(-0.924270\pi\)
0.690017 + 0.723793i \(0.257603\pi\)
\(734\) −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 0.918040 0.396488i \(-0.129771\pi\)
−0.802388 + 0.596802i \(0.796438\pi\)
\(740\) −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 \(-0.797272\pi\)
0.803950 0.594697i \(-0.202728\pi\)
\(744\) 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 −0.345477 0.938427i \(-0.612283\pi\)
−0.985440 + 0.170022i \(0.945616\pi\)
\(752\) 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 \(0.0837019\pi\)
−0.965625 + 0.259937i \(0.916298\pi\)
\(758\) −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 0.694590 0.719405i \(-0.255586\pi\)
−0.275728 + 0.961236i \(0.588919\pi\)
\(762\) −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 \(0.0943770\pi\)
−0.956367 + 0.292169i \(0.905623\pi\)
\(770\) −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 0.954707 0.297548i \(-0.0961689\pi\)
−0.735038 + 0.678026i