Properties

Label 546.2.bi.e.17.14
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.14
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.e.257.14

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(1.21751 - 1.23193i) q^{3} +1.00000 q^{4} +(-1.57344 + 0.908426i) q^{5} +(-1.21751 + 1.23193i) q^{6} +(-2.47008 - 0.947995i) q^{7} -1.00000 q^{8} +(-0.0353243 - 2.99979i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(1.21751 - 1.23193i) q^{3} +1.00000 q^{4} +(-1.57344 + 0.908426i) q^{5} +(-1.21751 + 1.23193i) q^{6} +(-2.47008 - 0.947995i) q^{7} -1.00000 q^{8} +(-0.0353243 - 2.99979i) q^{9} +(1.57344 - 0.908426i) q^{10} +(1.02563 + 1.77645i) q^{11} +(1.21751 - 1.23193i) q^{12} +(-3.57560 - 0.463745i) q^{13} +(2.47008 + 0.947995i) q^{14} +(-0.796563 + 3.04440i) q^{15} +1.00000 q^{16} -5.68717 q^{17} +(0.0353243 + 2.99979i) q^{18} +(-0.796762 + 1.38003i) q^{19} +(-1.57344 + 0.908426i) q^{20} +(-4.17522 + 1.88878i) q^{21} +(-1.02563 - 1.77645i) q^{22} -8.73960i q^{23} +(-1.21751 + 1.23193i) q^{24} +(-0.849523 + 1.47142i) q^{25} +(3.57560 + 0.463745i) q^{26} +(-3.73855 - 3.60877i) q^{27} +(-2.47008 - 0.947995i) q^{28} +(-0.724381 - 0.418222i) q^{29} +(0.796563 - 3.04440i) q^{30} +(-3.97501 + 6.88493i) q^{31} -1.00000 q^{32} +(3.43719 + 0.899337i) q^{33} +5.68717 q^{34} +(4.74771 - 0.752275i) q^{35} +(-0.0353243 - 2.99979i) q^{36} -4.21819i q^{37} +(0.796762 - 1.38003i) q^{38} +(-4.92465 + 3.84029i) q^{39} +(1.57344 - 0.908426i) q^{40} +(-0.397180 - 0.229312i) q^{41} +(4.17522 - 1.88878i) q^{42} +(0.836012 + 1.44802i) q^{43} +(1.02563 + 1.77645i) q^{44} +(2.78067 + 4.68791i) q^{45} +8.73960i q^{46} +(1.94760 - 1.12445i) q^{47} +(1.21751 - 1.23193i) q^{48} +(5.20261 + 4.68325i) q^{49} +(0.849523 - 1.47142i) q^{50} +(-6.92421 + 7.00622i) q^{51} +(-3.57560 - 0.463745i) q^{52} +(-0.497067 - 0.286982i) q^{53} +(3.73855 + 3.60877i) q^{54} +(-3.22755 - 1.86343i) q^{55} +(2.47008 + 0.947995i) q^{56} +(0.730041 + 2.66176i) q^{57} +(0.724381 + 0.418222i) q^{58} +2.19150i q^{59} +(-0.796563 + 3.04440i) q^{60} +(-5.97394 - 3.44906i) q^{61} +(3.97501 - 6.88493i) q^{62} +(-2.75653 + 7.44322i) q^{63} +1.00000 q^{64} +(6.04728 - 2.51850i) q^{65} +(-3.43719 - 0.899337i) q^{66} +(-4.46448 + 2.57757i) q^{67} -5.68717 q^{68} +(-10.7666 - 10.6406i) q^{69} +(-4.74771 + 0.752275i) q^{70} +(-4.24250 - 7.34823i) q^{71} +(0.0353243 + 2.99979i) q^{72} +(5.11752 - 8.86381i) q^{73} +4.21819i q^{74} +(0.778384 + 2.83803i) q^{75} +(-0.796762 + 1.38003i) q^{76} +(-0.849335 - 5.36027i) q^{77} +(4.92465 - 3.84029i) q^{78} +(-3.68537 - 6.38325i) q^{79} +(-1.57344 + 0.908426i) q^{80} +(-8.99750 + 0.211931i) q^{81} +(0.397180 + 0.229312i) q^{82} +15.0678i q^{83} +(-4.17522 + 1.88878i) q^{84} +(8.94843 - 5.16638i) q^{85} +(-0.836012 - 1.44802i) q^{86} +(-1.39717 + 0.383200i) q^{87} +(-1.02563 - 1.77645i) q^{88} -3.86314i q^{89} +(-2.78067 - 4.68791i) q^{90} +(8.39241 + 4.53514i) q^{91} -8.73960i q^{92} +(3.64215 + 13.2794i) q^{93} +(-1.94760 + 1.12445i) q^{94} -2.89520i q^{95} +(-1.21751 + 1.23193i) q^{96} +(-1.72410 - 2.98622i) q^{97} +(-5.20261 - 4.68325i) q^{98} +(5.29275 - 3.13944i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) 1.21751 1.23193i 0.702931 0.711258i
\(4\) 1.00000 0.500000
\(5\) −1.57344 + 0.908426i −0.703664 + 0.406261i −0.808711 0.588207i \(-0.799834\pi\)
0.105047 + 0.994467i \(0.466501\pi\)
\(6\) −1.21751 + 1.23193i −0.497048 + 0.502935i
\(7\) −2.47008 0.947995i −0.933603 0.358308i
\(8\) −1.00000 −0.353553
\(9\) −0.0353243 2.99979i −0.0117748 0.999931i
\(10\) 1.57344 0.908426i 0.497566 0.287270i
\(11\) 1.02563 + 1.77645i 0.309240 + 0.535620i 0.978196 0.207682i \(-0.0665920\pi\)
−0.668956 + 0.743302i \(0.733259\pi\)
\(12\) 1.21751 1.23193i 0.351466 0.355629i
\(13\) −3.57560 0.463745i −0.991694 0.128620i
\(14\) 2.47008 + 0.947995i 0.660157 + 0.253362i
\(15\) −0.796563 + 3.04440i −0.205672 + 0.786060i
\(16\) 1.00000 0.250000
\(17\) −5.68717 −1.37934 −0.689671 0.724123i \(-0.742245\pi\)
−0.689671 + 0.724123i \(0.742245\pi\)
\(18\) 0.0353243 + 2.99979i 0.00832601 + 0.707058i
\(19\) −0.796762 + 1.38003i −0.182790 + 0.316601i −0.942829 0.333276i \(-0.891846\pi\)
0.760040 + 0.649876i \(0.225179\pi\)
\(20\) −1.57344 + 0.908426i −0.351832 + 0.203130i
\(21\) −4.17522 + 1.88878i −0.911109 + 0.412166i
\(22\) −1.02563 1.77645i −0.218666 0.378740i
\(23\) 8.73960i 1.82233i −0.412039 0.911166i \(-0.635183\pi\)
0.412039 0.911166i \(-0.364817\pi\)
\(24\) −1.21751 + 1.23193i −0.248524 + 0.251468i
\(25\) −0.849523 + 1.47142i −0.169905 + 0.294283i
\(26\) 3.57560 + 0.463745i 0.701234 + 0.0909480i
\(27\) −3.73855 3.60877i −0.719485 0.694508i
\(28\) −2.47008 0.947995i −0.466802 0.179154i
\(29\) −0.724381 0.418222i −0.134514 0.0776618i 0.431233 0.902241i \(-0.358079\pi\)
−0.565747 + 0.824579i \(0.691412\pi\)
\(30\) 0.796563 3.04440i 0.145432 0.555828i
\(31\) −3.97501 + 6.88493i −0.713934 + 1.23657i 0.249436 + 0.968391i \(0.419755\pi\)
−0.963369 + 0.268178i \(0.913579\pi\)
\(32\) −1.00000 −0.176777
\(33\) 3.43719 + 0.899337i 0.598338 + 0.156555i
\(34\) 5.68717 0.975342
\(35\) 4.74771 0.752275i 0.802510 0.127158i
\(36\) −0.0353243 2.99979i −0.00588738 0.499965i
\(37\) 4.21819i 0.693466i −0.937964 0.346733i \(-0.887291\pi\)
0.937964 0.346733i \(-0.112709\pi\)
\(38\) 0.796762 1.38003i 0.129252 0.223871i
\(39\) −4.92465 + 3.84029i −0.788575 + 0.614939i
\(40\) 1.57344 0.908426i 0.248783 0.143635i
\(41\) −0.397180 0.229312i −0.0620290 0.0358125i 0.468665 0.883376i \(-0.344735\pi\)
−0.530694 + 0.847564i \(0.678069\pi\)
\(42\) 4.17522 1.88878i 0.644251 0.291446i
\(43\) 0.836012 + 1.44802i 0.127491 + 0.220820i 0.922704 0.385510i \(-0.125974\pi\)
−0.795213 + 0.606330i \(0.792641\pi\)
\(44\) 1.02563 + 1.77645i 0.154620 + 0.267810i
\(45\) 2.78067 + 4.68791i 0.414518 + 0.698832i
\(46\) 8.73960i 1.28858i
\(47\) 1.94760 1.12445i 0.284086 0.164017i −0.351186 0.936306i \(-0.614221\pi\)
0.635272 + 0.772289i \(0.280888\pi\)
\(48\) 1.21751 1.23193i 0.175733 0.177814i
\(49\) 5.20261 + 4.68325i 0.743230 + 0.669036i
\(50\) 0.849523 1.47142i 0.120141 0.208090i
\(51\) −6.92421 + 7.00622i −0.969583 + 0.981068i
\(52\) −3.57560 0.463745i −0.495847 0.0643099i
\(53\) −0.497067 0.286982i −0.0682774 0.0394200i 0.465473 0.885062i \(-0.345884\pi\)
−0.533750 + 0.845642i \(0.679218\pi\)
\(54\) 3.73855 + 3.60877i 0.508753 + 0.491091i
\(55\) −3.22755 1.86343i −0.435202 0.251264i
\(56\) 2.47008 + 0.947995i 0.330079 + 0.126681i
\(57\) 0.730041 + 2.66176i 0.0966962 + 0.352559i
\(58\) 0.724381 + 0.418222i 0.0951159 + 0.0549152i
\(59\) 2.19150i 0.285308i 0.989773 + 0.142654i \(0.0455637\pi\)
−0.989773 + 0.142654i \(0.954436\pi\)
\(60\) −0.796563 + 3.04440i −0.102836 + 0.393030i
\(61\) −5.97394 3.44906i −0.764885 0.441607i 0.0661618 0.997809i \(-0.478925\pi\)
−0.831047 + 0.556202i \(0.812258\pi\)
\(62\) 3.97501 6.88493i 0.504827 0.874386i
\(63\) −2.75653 + 7.44322i −0.347290 + 0.937758i
\(64\) 1.00000 0.125000
\(65\) 6.04728 2.51850i 0.750073 0.312381i
\(66\) −3.43719 0.899337i −0.423089 0.110701i
\(67\) −4.46448 + 2.57757i −0.545423 + 0.314900i −0.747274 0.664516i \(-0.768638\pi\)
0.201851 + 0.979416i \(0.435304\pi\)
\(68\) −5.68717 −0.689671
\(69\) −10.7666 10.6406i −1.29615 1.28097i
\(70\) −4.74771 + 0.752275i −0.567460 + 0.0899140i
\(71\) −4.24250 7.34823i −0.503493 0.872075i −0.999992 0.00403764i \(-0.998715\pi\)
0.496499 0.868037i \(-0.334619\pi\)
\(72\) 0.0353243 + 2.99979i 0.00416300 + 0.353529i
\(73\) 5.11752 8.86381i 0.598961 1.03743i −0.394014 0.919104i \(-0.628914\pi\)
0.992975 0.118326i \(-0.0377528\pi\)
\(74\) 4.21819i 0.490354i
\(75\) 0.778384 + 2.83803i 0.0898800 + 0.327707i
\(76\) −0.796762 + 1.38003i −0.0913948 + 0.158300i
\(77\) −0.849335 5.36027i −0.0967907 0.610860i
\(78\) 4.92465 3.84029i 0.557607 0.434827i
\(79\) −3.68537 6.38325i −0.414637 0.718172i 0.580754 0.814079i \(-0.302758\pi\)
−0.995390 + 0.0959076i \(0.969425\pi\)
\(80\) −1.57344 + 0.908426i −0.175916 + 0.101565i
\(81\) −8.99750 + 0.211931i −0.999723 + 0.0235479i
\(82\) 0.397180 + 0.229312i 0.0438612 + 0.0253233i
\(83\) 15.0678i 1.65391i 0.562269 + 0.826954i \(0.309929\pi\)
−0.562269 + 0.826954i \(0.690071\pi\)
\(84\) −4.17522 + 1.88878i −0.455554 + 0.206083i
\(85\) 8.94843 5.16638i 0.970594 0.560373i
\(86\) −0.836012 1.44802i −0.0901495 0.156143i
\(87\) −1.39717 + 0.383200i −0.149792 + 0.0410833i
\(88\) −1.02563 1.77645i −0.109333 0.189370i
\(89\) 3.86314i 0.409492i −0.978815 0.204746i \(-0.934363\pi\)
0.978815 0.204746i \(-0.0656368\pi\)
\(90\) −2.78067 4.68791i −0.293108 0.494149i
\(91\) 8.39241 + 4.53514i 0.879763 + 0.475412i
\(92\) 8.73960i 0.911166i
\(93\) 3.64215 + 13.2794i 0.377673 + 1.37701i
\(94\) −1.94760 + 1.12445i −0.200879 + 0.115978i
\(95\) 2.89520i 0.297041i
\(96\) −1.21751 + 1.23193i −0.124262 + 0.125734i
\(97\) −1.72410 2.98622i −0.175056 0.303205i 0.765125 0.643882i \(-0.222677\pi\)
−0.940180 + 0.340677i \(0.889344\pi\)
\(98\) −5.20261 4.68325i −0.525543 0.473080i
\(99\) 5.29275 3.13944i 0.531941 0.315526i
\(100\) −0.849523 + 1.47142i −0.0849523 + 0.147142i
\(101\) 4.84811 + 8.39717i 0.482405 + 0.835550i 0.999796 0.0201992i \(-0.00643004\pi\)
−0.517391 + 0.855749i \(0.673097\pi\)
\(102\) 6.92421 7.00622i 0.685599 0.693720i
\(103\) 8.08628 4.66861i 0.796765 0.460012i −0.0455739 0.998961i \(-0.514512\pi\)
0.842339 + 0.538949i \(0.181178\pi\)
\(104\) 3.57560 + 0.463745i 0.350617 + 0.0454740i
\(105\) 4.85365 6.76477i 0.473667 0.660174i
\(106\) 0.497067 + 0.286982i 0.0482794 + 0.0278742i
\(107\) 10.7060i 1.03499i −0.855687 0.517493i \(-0.826865\pi\)
0.855687 0.517493i \(-0.173135\pi\)
\(108\) −3.73855 3.60877i −0.359743 0.347254i
\(109\) −4.30381 2.48481i −0.412230 0.238001i 0.279517 0.960141i \(-0.409826\pi\)
−0.691748 + 0.722139i \(0.743159\pi\)
\(110\) 3.22755 + 1.86343i 0.307735 + 0.177671i
\(111\) −5.19653 5.13570i −0.493233 0.487459i
\(112\) −2.47008 0.947995i −0.233401 0.0895771i
\(113\) 14.4435 8.33897i 1.35873 0.784464i 0.369279 0.929319i \(-0.379605\pi\)
0.989453 + 0.144855i \(0.0462714\pi\)
\(114\) −0.730041 2.66176i −0.0683746 0.249297i
\(115\) 7.93928 + 13.7512i 0.740342 + 1.28231i
\(116\) −0.724381 0.418222i −0.0672571 0.0388309i
\(117\) −1.26483 + 10.7424i −0.116934 + 0.993140i
\(118\) 2.19150i 0.201743i
\(119\) 14.0478 + 5.39141i 1.28776 + 0.494230i
\(120\) 0.796563 3.04440i 0.0727159 0.277914i
\(121\) 3.39615 5.88231i 0.308741 0.534755i
\(122\) 5.97394 + 3.44906i 0.540855 + 0.312263i
\(123\) −0.766068 + 0.210109i −0.0690741 + 0.0189449i
\(124\) −3.97501 + 6.88493i −0.356967 + 0.618285i
\(125\) 12.1712i 1.08862i
\(126\) 2.75653 7.44322i 0.245571 0.663095i
\(127\) −10.6930 + 18.5208i −0.948852 + 1.64346i −0.201003 + 0.979591i \(0.564420\pi\)
−0.747849 + 0.663869i \(0.768913\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 2.80171 + 0.733065i 0.246677 + 0.0645428i
\(130\) −6.04728 + 2.51850i −0.530381 + 0.220887i
\(131\) 7.44741 + 12.8993i 0.650683 + 1.12702i 0.982957 + 0.183834i \(0.0588508\pi\)
−0.332274 + 0.943183i \(0.607816\pi\)
\(132\) 3.43719 + 0.899337i 0.299169 + 0.0782773i
\(133\) 3.27633 2.65347i 0.284094 0.230085i
\(134\) 4.46448 2.57757i 0.385672 0.222668i
\(135\) 9.16069 + 2.28198i 0.788427 + 0.196402i
\(136\) 5.68717 0.487671
\(137\) 11.6043 0.991424 0.495712 0.868487i \(-0.334907\pi\)
0.495712 + 0.868487i \(0.334907\pi\)
\(138\) 10.7666 + 10.6406i 0.916515 + 0.905786i
\(139\) 13.6556 7.88408i 1.15825 0.668719i 0.207370 0.978263i \(-0.433510\pi\)
0.950885 + 0.309544i \(0.100176\pi\)
\(140\) 4.74771 0.752275i 0.401255 0.0635788i
\(141\) 0.985981 3.76834i 0.0830346 0.317351i
\(142\) 4.24250 + 7.34823i 0.356023 + 0.616650i
\(143\) −2.84344 6.82751i −0.237780 0.570945i
\(144\) −0.0353243 2.99979i −0.00294369 0.249983i
\(145\) 1.51969 0.126204
\(146\) −5.11752 + 8.86381i −0.423529 + 0.733574i
\(147\) 12.1037 0.707360i 0.998297 0.0583421i
\(148\) 4.21819i 0.346733i
\(149\) −2.40740 + 4.16974i −0.197222 + 0.341599i −0.947627 0.319380i \(-0.896525\pi\)
0.750405 + 0.660979i \(0.229859\pi\)
\(150\) −0.778384 2.83803i −0.0635548 0.231724i
\(151\) −1.23569 0.713427i −0.100559 0.0580579i 0.448877 0.893594i \(-0.351824\pi\)
−0.549436 + 0.835536i \(0.685157\pi\)
\(152\) 0.796762 1.38003i 0.0646259 0.111935i
\(153\) 0.200895 + 17.0603i 0.0162414 + 1.37925i
\(154\) 0.849335 + 5.36027i 0.0684414 + 0.431943i
\(155\) 14.4440i 1.16017i
\(156\) −4.92465 + 3.84029i −0.394287 + 0.307469i
\(157\) 7.14347 + 4.12428i 0.570111 + 0.329154i 0.757194 0.653191i \(-0.226570\pi\)
−0.187083 + 0.982344i \(0.559903\pi\)
\(158\) 3.68537 + 6.38325i 0.293192 + 0.507824i
\(159\) −0.958729 + 0.262950i −0.0760321 + 0.0208533i
\(160\) 1.57344 0.908426i 0.124391 0.0718174i
\(161\) −8.28509 + 21.5875i −0.652957 + 1.70134i
\(162\) 8.99750 0.211931i 0.706911 0.0166509i
\(163\) −20.7420 11.9754i −1.62464 0.937985i −0.985657 0.168762i \(-0.946023\pi\)
−0.638981 0.769223i \(-0.720644\pi\)
\(164\) −0.397180 0.229312i −0.0310145 0.0179062i
\(165\) −6.22520 + 1.70738i −0.484631 + 0.132920i
\(166\) 15.0678i 1.16949i
\(167\) −20.2949 11.7173i −1.57047 0.906711i −0.996111 0.0881060i \(-0.971919\pi\)
−0.574358 0.818604i \(-0.694748\pi\)
\(168\) 4.17522 1.88878i 0.322126 0.145723i
\(169\) 12.5699 + 3.31634i 0.966914 + 0.255103i
\(170\) −8.94843 + 5.16638i −0.686313 + 0.396243i
\(171\) 4.16795 + 2.34137i 0.318731 + 0.179049i
\(172\) 0.836012 + 1.44802i 0.0637453 + 0.110410i
\(173\) −3.80295 + 6.58691i −0.289133 + 0.500794i −0.973603 0.228248i \(-0.926700\pi\)
0.684470 + 0.729041i \(0.260034\pi\)
\(174\) 1.39717 0.383200i 0.105919 0.0290503i
\(175\) 3.49329 2.82918i 0.264068 0.213866i
\(176\) 1.02563 + 1.77645i 0.0773101 + 0.133905i
\(177\) 2.69978 + 2.66817i 0.202928 + 0.200552i
\(178\) 3.86314i 0.289554i
\(179\) 15.9356 9.20041i 1.19108 0.687671i 0.232530 0.972589i \(-0.425300\pi\)
0.958552 + 0.284918i \(0.0919664\pi\)
\(180\) 2.78067 + 4.68791i 0.207259 + 0.349416i
\(181\) 0.190838i 0.0141849i 0.999975 + 0.00709245i \(0.00225762\pi\)
−0.999975 + 0.00709245i \(0.997742\pi\)
\(182\) −8.39241 4.53514i −0.622087 0.336167i
\(183\) −11.5224 + 3.16023i −0.851758 + 0.233611i
\(184\) 8.73960i 0.644292i
\(185\) 3.83191 + 6.63707i 0.281728 + 0.487967i
\(186\) −3.64215 13.2794i −0.267055 0.973696i
\(187\) −5.83296 10.1030i −0.426548 0.738803i
\(188\) 1.94760 1.12445i 0.142043 0.0820086i
\(189\) 5.81344 + 12.4581i 0.422866 + 0.906192i
\(190\) 2.89520i 0.210040i
\(191\) 4.50022 + 2.59820i 0.325625 + 0.187999i 0.653897 0.756584i \(-0.273133\pi\)
−0.328272 + 0.944583i \(0.606466\pi\)
\(192\) 1.21751 1.23193i 0.0878664 0.0889072i
\(193\) 9.53669 5.50601i 0.686466 0.396331i −0.115821 0.993270i \(-0.536950\pi\)
0.802287 + 0.596939i \(0.203616\pi\)
\(194\) 1.72410 + 2.98622i 0.123783 + 0.214398i
\(195\) 4.26002 10.5162i 0.305066 0.753077i
\(196\) 5.20261 + 4.68325i 0.371615 + 0.334518i
\(197\) 11.1333 19.2835i 0.793218 1.37389i −0.130746 0.991416i \(-0.541737\pi\)
0.923964 0.382478i \(-0.124929\pi\)
\(198\) −5.29275 + 3.13944i −0.376139 + 0.223110i
\(199\) 19.0946i 1.35358i −0.736177 0.676789i \(-0.763371\pi\)
0.736177 0.676789i \(-0.236629\pi\)
\(200\) 0.849523 1.47142i 0.0600703 0.104045i
\(201\) −2.26017 + 8.63817i −0.159420 + 0.609290i
\(202\) −4.84811 8.39717i −0.341112 0.590823i
\(203\) 1.39281 + 1.71975i 0.0977560 + 0.120703i
\(204\) −6.92421 + 7.00622i −0.484792 + 0.490534i
\(205\) 0.833252 0.0581968
\(206\) −8.08628 + 4.66861i −0.563398 + 0.325278i
\(207\) −26.2170 + 0.308720i −1.82221 + 0.0214575i
\(208\) −3.57560 0.463745i −0.247923 0.0321550i
\(209\) −3.26874 −0.226104
\(210\) −4.85365 + 6.76477i −0.334933 + 0.466814i
\(211\) −7.80557 + 13.5196i −0.537358 + 0.930731i 0.461688 + 0.887043i \(0.347244\pi\)
−0.999045 + 0.0436882i \(0.986089\pi\)
\(212\) −0.497067 0.286982i −0.0341387 0.0197100i
\(213\) −14.2178 3.72008i −0.974191 0.254896i
\(214\) 10.7060i 0.731846i
\(215\) −2.63083 1.51891i −0.179421 0.103589i
\(216\) 3.73855 + 3.60877i 0.254376 + 0.245546i
\(217\) 16.3455 13.2380i 1.10960 0.898657i
\(218\) 4.30381 + 2.48481i 0.291491 + 0.168292i
\(219\) −4.68898 17.0963i −0.316852 1.15526i
\(220\) −3.22755 1.86343i −0.217601 0.125632i
\(221\) 20.3351 + 2.63740i 1.36789 + 0.177411i
\(222\) 5.19653 + 5.13570i 0.348768 + 0.344686i
\(223\) −4.91509 + 8.51319i −0.329139 + 0.570085i −0.982341 0.187098i \(-0.940092\pi\)
0.653202 + 0.757183i \(0.273425\pi\)
\(224\) 2.47008 + 0.947995i 0.165039 + 0.0633406i
\(225\) 4.44395 + 2.49641i 0.296263 + 0.166428i
\(226\) −14.4435 + 8.33897i −0.960768 + 0.554700i
\(227\) 11.3725i 0.754821i 0.926046 + 0.377410i \(0.123185\pi\)
−0.926046 + 0.377410i \(0.876815\pi\)
\(228\) 0.730041 + 2.66176i 0.0483481 + 0.176280i
\(229\) −9.48968 16.4366i −0.627096 1.08616i −0.988132 0.153610i \(-0.950910\pi\)
0.361036 0.932552i \(-0.382423\pi\)
\(230\) −7.93928 13.7512i −0.523501 0.906730i
\(231\) −7.63758 5.47988i −0.502516 0.360549i
\(232\) 0.724381 + 0.418222i 0.0475580 + 0.0274576i
\(233\) −18.2307 + 10.5255i −1.19433 + 0.689550i −0.959287 0.282434i \(-0.908858\pi\)
−0.235048 + 0.971984i \(0.575525\pi\)
\(234\) 1.26483 10.7424i 0.0826848 0.702256i
\(235\) −2.04295 + 3.53850i −0.133267 + 0.230826i
\(236\) 2.19150i 0.142654i
\(237\) −12.3507 3.23156i −0.802266 0.209912i
\(238\) −14.0478 5.39141i −0.910583 0.349473i
\(239\) −16.6885 −1.07949 −0.539746 0.841828i \(-0.681480\pi\)
−0.539746 + 0.841828i \(0.681480\pi\)
\(240\) −0.796563 + 3.04440i −0.0514179 + 0.196515i
\(241\) 15.2747 0.983927 0.491963 0.870616i \(-0.336279\pi\)
0.491963 + 0.870616i \(0.336279\pi\)
\(242\) −3.39615 + 5.88231i −0.218313 + 0.378129i
\(243\) −10.6935 + 11.3424i −0.685988 + 0.727613i
\(244\) −5.97394 3.44906i −0.382443 0.220803i
\(245\) −12.4404 2.64262i −0.794787 0.168831i
\(246\) 0.766068 0.210109i 0.0488427 0.0133961i
\(247\) 3.48889 4.56495i 0.221993 0.290461i
\(248\) 3.97501 6.88493i 0.252414 0.437193i
\(249\) 18.5626 + 18.3453i 1.17636 + 1.16258i
\(250\) 12.1712i 0.769773i
\(251\) −4.91975 8.52125i −0.310532 0.537857i 0.667946 0.744210i \(-0.267174\pi\)
−0.978478 + 0.206353i \(0.933840\pi\)
\(252\) −2.75653 + 7.44322i −0.173645 + 0.468879i
\(253\) 15.5255 8.96363i 0.976077 0.563538i
\(254\) 10.6930 18.5208i 0.670940 1.16210i
\(255\) 4.53019 17.3140i 0.283692 1.08425i
\(256\) 1.00000 0.0625000
\(257\) −1.53233 −0.0955843 −0.0477921 0.998857i \(-0.515219\pi\)
−0.0477921 + 0.998857i \(0.515219\pi\)
\(258\) −2.80171 0.733065i −0.174427 0.0456387i
\(259\) −3.99882 + 10.4193i −0.248475 + 0.647422i
\(260\) 6.04728 2.51850i 0.375036 0.156191i
\(261\) −1.22899 + 2.18777i −0.0760726 + 0.135419i
\(262\) −7.44741 12.8993i −0.460103 0.796921i
\(263\) −16.9520 + 9.78724i −1.04530 + 0.603507i −0.921331 0.388779i \(-0.872897\pi\)
−0.123973 + 0.992286i \(0.539564\pi\)
\(264\) −3.43719 0.899337i −0.211545 0.0553504i
\(265\) 1.04281 0.0640592
\(266\) −3.27633 + 2.65347i −0.200885 + 0.162694i
\(267\) −4.75913 4.70342i −0.291254 0.287845i
\(268\) −4.46448 + 2.57757i −0.272712 + 0.157450i
\(269\) −13.5580 −0.826646 −0.413323 0.910584i \(-0.635632\pi\)
−0.413323 + 0.910584i \(0.635632\pi\)
\(270\) −9.16069 2.28198i −0.557502 0.138877i
\(271\) −28.0556 −1.70425 −0.852127 0.523335i \(-0.824688\pi\)
−0.852127 + 0.523335i \(0.824688\pi\)
\(272\) −5.68717 −0.344836
\(273\) 15.8049 4.81730i 0.956554 0.291556i
\(274\) −11.6043 −0.701042
\(275\) −3.48520 −0.210165
\(276\) −10.7666 10.6406i −0.648074 0.640487i
\(277\) 23.3285 1.40167 0.700836 0.713323i \(-0.252811\pi\)
0.700836 + 0.713323i \(0.252811\pi\)
\(278\) −13.6556 + 7.88408i −0.819010 + 0.472856i
\(279\) 20.7938 + 11.6810i 1.24489 + 0.699324i
\(280\) −4.74771 + 0.752275i −0.283730 + 0.0449570i
\(281\) −26.6302 −1.58862 −0.794311 0.607512i \(-0.792168\pi\)
−0.794311 + 0.607512i \(0.792168\pi\)
\(282\) −0.985981 + 3.76834i −0.0587143 + 0.224401i
\(283\) −23.3128 + 13.4597i −1.38580 + 0.800093i −0.992839 0.119461i \(-0.961884\pi\)
−0.392964 + 0.919554i \(0.628550\pi\)
\(284\) −4.24250 7.34823i −0.251746 0.436037i
\(285\) −3.56669 3.52494i −0.211273 0.208799i
\(286\) 2.84344 + 6.82751i 0.168136 + 0.403719i
\(287\) 0.763680 + 0.942943i 0.0450786 + 0.0556602i
\(288\) 0.0353243 + 2.99979i 0.00208150 + 0.176764i
\(289\) 15.3439 0.902585
\(290\) −1.51969 −0.0892395
\(291\) −5.77794 1.51179i −0.338709 0.0886228i
\(292\) 5.11752 8.86381i 0.299480 0.518715i
\(293\) −6.97220 + 4.02540i −0.407320 + 0.235167i −0.689638 0.724154i \(-0.742230\pi\)
0.282317 + 0.959321i \(0.408897\pi\)
\(294\) −12.1037 + 0.707360i −0.705902 + 0.0412541i
\(295\) −1.99081 3.44819i −0.115910 0.200761i
\(296\) 4.21819i 0.245177i
\(297\) 2.57641 10.3426i 0.149498 0.600140i
\(298\) 2.40740 4.16974i 0.139457 0.241547i
\(299\) −4.05295 + 31.2493i −0.234388 + 1.80720i
\(300\) 0.778384 + 2.83803i 0.0449400 + 0.163853i
\(301\) −0.692308 4.36925i −0.0399039 0.251839i
\(302\) 1.23569 + 0.713427i 0.0711061 + 0.0410531i
\(303\) 16.2474 + 4.25111i 0.933389 + 0.244220i
\(304\) −0.796762 + 1.38003i −0.0456974 + 0.0791502i
\(305\) 12.5329 0.717630
\(306\) −0.200895 17.0603i −0.0114844 0.975275i
\(307\) 13.6194 0.777300 0.388650 0.921385i \(-0.372942\pi\)
0.388650 + 0.921385i \(0.372942\pi\)
\(308\) −0.849335 5.36027i −0.0483953 0.305430i
\(309\) 4.09372 15.6459i 0.232884 0.890062i
\(310\) 14.4440i 0.820366i
\(311\) −12.6742 + 21.9523i −0.718685 + 1.24480i 0.242835 + 0.970068i \(0.421923\pi\)
−0.961521 + 0.274732i \(0.911411\pi\)
\(312\) 4.92465 3.84029i 0.278803 0.217414i
\(313\) −7.41295 + 4.27987i −0.419005 + 0.241913i −0.694651 0.719347i \(-0.744441\pi\)
0.275647 + 0.961259i \(0.411108\pi\)
\(314\) −7.14347 4.12428i −0.403129 0.232747i
\(315\) −2.42438 14.2156i −0.136598 0.800957i
\(316\) −3.68537 6.38325i −0.207318 0.359086i
\(317\) 11.7752 + 20.3952i 0.661360 + 1.14551i 0.980258 + 0.197721i \(0.0633539\pi\)
−0.318898 + 0.947789i \(0.603313\pi\)
\(318\) 0.958729 0.262950i 0.0537628 0.0147455i
\(319\) 1.71577i 0.0960646i
\(320\) −1.57344 + 0.908426i −0.0879580 + 0.0507826i
\(321\) −13.1891 13.0347i −0.736142 0.727524i
\(322\) 8.28509 21.5875i 0.461710 1.20303i
\(323\) 4.53132 7.84848i 0.252129 0.436701i
\(324\) −8.99750 + 0.211931i −0.499861 + 0.0117739i
\(325\) 3.71992 4.86724i 0.206344 0.269986i
\(326\) 20.7420 + 11.9754i 1.14879 + 0.663256i
\(327\) −8.30107 + 2.27673i −0.459050 + 0.125903i
\(328\) 0.397180 + 0.229312i 0.0219306 + 0.0126616i
\(329\) −5.87669 + 0.931162i −0.323992 + 0.0513366i
\(330\) 6.22520 1.70738i 0.342686 0.0939883i
\(331\) 6.15849 + 3.55561i 0.338501 + 0.195434i 0.659609 0.751609i \(-0.270722\pi\)
−0.321108 + 0.947043i \(0.604055\pi\)
\(332\) 15.0678i 0.826954i
\(333\) −12.6537 + 0.149004i −0.693418 + 0.00816539i
\(334\) 20.2949 + 11.7173i 1.11049 + 0.641141i
\(335\) 4.68306 8.11130i 0.255863 0.443168i
\(336\) −4.17522 + 1.88878i −0.227777 + 0.103042i
\(337\) 19.1187 1.04146 0.520730 0.853722i \(-0.325660\pi\)
0.520730 + 0.853722i \(0.325660\pi\)
\(338\) −12.5699 3.31634i −0.683711 0.180385i
\(339\) 7.31211 27.9463i 0.397139 1.51783i
\(340\) 8.94843 5.16638i 0.485297 0.280186i
\(341\) −16.3076 −0.883108
\(342\) −4.16795 2.34137i −0.225377 0.126607i
\(343\) −8.41119 16.5001i −0.454161 0.890919i
\(344\) −0.836012 1.44802i −0.0450747 0.0780717i
\(345\) 26.6068 + 6.96164i 1.43246 + 0.374802i
\(346\) 3.80295 6.58691i 0.204448 0.354114i
\(347\) 23.0701i 1.23847i −0.785207 0.619233i \(-0.787444\pi\)
0.785207 0.619233i \(-0.212556\pi\)
\(348\) −1.39717 + 0.383200i −0.0748959 + 0.0205417i
\(349\) 2.11359 3.66085i 0.113138 0.195961i −0.803896 0.594770i \(-0.797243\pi\)
0.917034 + 0.398809i \(0.130576\pi\)
\(350\) −3.49329 + 2.82918i −0.186724 + 0.151226i
\(351\) 11.6940 + 14.6373i 0.624182 + 0.781279i
\(352\) −1.02563 1.77645i −0.0546665 0.0946851i
\(353\) −27.6603 + 15.9697i −1.47221 + 0.849981i −0.999512 0.0312428i \(-0.990053\pi\)
−0.472699 + 0.881224i \(0.656720\pi\)
\(354\) −2.69978 2.66817i −0.143492 0.141812i
\(355\) 13.3507 + 7.70801i 0.708579 + 0.409098i
\(356\) 3.86314i 0.204746i
\(357\) 23.7452 10.7418i 1.25673 0.568518i
\(358\) −15.9356 + 9.20041i −0.842222 + 0.486257i
\(359\) 12.2496 + 21.2169i 0.646509 + 1.11979i 0.983951 + 0.178440i \(0.0571049\pi\)
−0.337442 + 0.941346i \(0.609562\pi\)
\(360\) −2.78067 4.68791i −0.146554 0.247074i
\(361\) 8.23034 + 14.2554i 0.433176 + 0.750283i
\(362\) 0.190838i 0.0100302i
\(363\) −3.11176 11.3456i −0.163325 0.595491i
\(364\) 8.39241 + 4.53514i 0.439882 + 0.237706i
\(365\) 18.5956i 0.973337i
\(366\) 11.5224 3.16023i 0.602284 0.165188i
\(367\) −28.7618 + 16.6056i −1.50135 + 0.866807i −0.501355 + 0.865241i \(0.667165\pi\)
−0.999999 + 0.00156589i \(0.999502\pi\)
\(368\) 8.73960i 0.455583i
\(369\) −0.673858 + 1.19956i −0.0350796 + 0.0624464i
\(370\) −3.83191 6.63707i −0.199212 0.345045i
\(371\) 0.955740 + 1.18009i 0.0496195 + 0.0612670i
\(372\) 3.64215 + 13.2794i 0.188836 + 0.688507i
\(373\) 2.06003 3.56807i 0.106664 0.184748i −0.807753 0.589521i \(-0.799316\pi\)
0.914417 + 0.404774i \(0.132650\pi\)
\(374\) 5.83296 + 10.1030i 0.301615 + 0.522413i
\(375\) −14.9941 14.8186i −0.774292 0.765228i
\(376\) −1.94760 + 1.12445i −0.100440 + 0.0579888i
\(377\) 2.39615 + 1.83132i 0.123408 + 0.0943179i
\(378\) −5.81344 12.4581i −0.299011 0.640775i
\(379\) −2.80001 1.61659i −0.143827 0.0830385i 0.426360 0.904554i \(-0.359796\pi\)
−0.570187 + 0.821515i \(0.693129\pi\)
\(380\) 2.89520i 0.148520i
\(381\) 9.79758 + 35.7225i 0.501945 + 1.83012i
\(382\) −4.50022 2.59820i −0.230251 0.132936i
\(383\) 3.61672 + 2.08811i 0.184806 + 0.106698i 0.589549 0.807733i \(-0.299306\pi\)
−0.404743 + 0.914430i \(0.632639\pi\)
\(384\) −1.21751 + 1.23193i −0.0621309 + 0.0628669i
\(385\) 6.20579 + 7.66251i 0.316276 + 0.390518i
\(386\) −9.53669 + 5.50601i −0.485405 + 0.280249i
\(387\) 4.31421 2.55901i 0.219304 0.130082i
\(388\) −1.72410 2.98622i −0.0875278 0.151603i
\(389\) 3.57665 + 2.06498i 0.181343 + 0.104699i 0.587924 0.808916i \(-0.299946\pi\)
−0.406580 + 0.913615i \(0.633279\pi\)
\(390\) −4.26002 + 10.5162i −0.215714 + 0.532506i
\(391\) 49.7036i 2.51362i
\(392\) −5.20261 4.68325i −0.262772 0.236540i
\(393\) 24.9584 + 6.53034i 1.25899 + 0.329412i
\(394\) −11.1333 + 19.2835i −0.560890 + 0.971490i
\(395\) 11.5974 + 6.69578i 0.583530 + 0.336901i
\(396\) 5.29275 3.13944i 0.265971 0.157763i
\(397\) 2.38133 4.12458i 0.119515 0.207007i −0.800060 0.599920i \(-0.795199\pi\)
0.919576 + 0.392913i \(0.128533\pi\)
\(398\) 19.0946i 0.957124i
\(399\) 0.720078 7.26685i 0.0360490 0.363798i
\(400\) −0.849523 + 1.47142i −0.0424761 + 0.0735708i
\(401\) −15.4809 −0.773080 −0.386540 0.922273i \(-0.626330\pi\)
−0.386540 + 0.922273i \(0.626330\pi\)
\(402\) 2.26017 8.63817i 0.112727 0.430833i
\(403\) 17.4059 22.7744i 0.867051 1.13447i
\(404\) 4.84811 + 8.39717i 0.241202 + 0.417775i
\(405\) 13.9645 8.50703i 0.693902 0.422718i
\(406\) −1.39281 1.71975i −0.0691240 0.0853498i
\(407\) 7.49340 4.32632i 0.371434 0.214448i
\(408\) 6.92421 7.00622i 0.342799 0.346860i
\(409\) −39.7884 −1.96741 −0.983706 0.179784i \(-0.942460\pi\)
−0.983706 + 0.179784i \(0.942460\pi\)
\(410\) −0.833252 −0.0411514
\(411\) 14.1284 14.2958i 0.696903 0.705158i
\(412\) 8.08628 4.66861i 0.398382 0.230006i
\(413\) 2.07753 5.41317i 0.102228 0.266365i
\(414\) 26.2170 0.308720i 1.28849 0.0151727i
\(415\) −13.6880 23.7083i −0.671918 1.16380i
\(416\) 3.57560 + 0.463745i 0.175308 + 0.0227370i
\(417\) 6.91323 26.4218i 0.338542 1.29388i
\(418\) 3.26874 0.159879
\(419\) −13.1146 + 22.7152i −0.640690 + 1.10971i 0.344589 + 0.938754i \(0.388018\pi\)
−0.985279 + 0.170954i \(0.945315\pi\)
\(420\) 4.85365 6.76477i 0.236834 0.330087i
\(421\) 14.0343i 0.683989i −0.939702 0.341994i \(-0.888898\pi\)
0.939702 0.341994i \(-0.111102\pi\)
\(422\) 7.80557 13.5196i 0.379969 0.658126i
\(423\) −3.44190 5.80266i −0.167351 0.282135i
\(424\) 0.497067 + 0.286982i 0.0241397 + 0.0139371i
\(425\) 4.83138 8.36820i 0.234357 0.405917i
\(426\) 14.2178 + 3.72008i 0.688857 + 0.180239i
\(427\) 11.4864 + 14.1827i 0.555868 + 0.686350i
\(428\) 10.7060i 0.517493i
\(429\) −11.8730 4.80966i −0.573232 0.232212i
\(430\) 2.63083 + 1.51891i 0.126870 + 0.0732484i
\(431\) −8.06272 13.9650i −0.388368 0.672673i 0.603862 0.797089i \(-0.293628\pi\)
−0.992230 + 0.124416i \(0.960294\pi\)
\(432\) −3.73855 3.60877i −0.179871 0.173627i
\(433\) −13.9038 + 8.02734i −0.668172 + 0.385769i −0.795384 0.606106i \(-0.792731\pi\)
0.127211 + 0.991876i \(0.459397\pi\)
\(434\) −16.3455 + 13.2380i −0.784608 + 0.635446i
\(435\) 1.85025 1.87216i 0.0887126 0.0897634i
\(436\) −4.30381 2.48481i −0.206115 0.119001i
\(437\) 12.0609 + 6.96338i 0.576952 + 0.333103i
\(438\) 4.68898 + 17.0963i 0.224048 + 0.816891i
\(439\) 16.1774i 0.772104i −0.922477 0.386052i \(-0.873838\pi\)
0.922477 0.386052i \(-0.126162\pi\)
\(440\) 3.22755 + 1.86343i 0.153867 + 0.0888353i
\(441\) 13.8650 15.7722i 0.660238 0.751057i
\(442\) −20.3351 2.63740i −0.967241 0.125448i
\(443\) 10.8594 6.26970i 0.515948 0.297883i −0.219327 0.975651i \(-0.570386\pi\)
0.735275 + 0.677769i \(0.237053\pi\)
\(444\) −5.19653 5.13570i −0.246616 0.243730i
\(445\) 3.50938 + 6.07842i 0.166360 + 0.288145i
\(446\) 4.91509 8.51319i 0.232736 0.403111i
\(447\) 2.20581 + 8.04248i 0.104331 + 0.380396i
\(448\) −2.47008 0.947995i −0.116700 0.0447885i
\(449\) 8.48307 + 14.6931i 0.400341 + 0.693411i 0.993767 0.111478i \(-0.0355584\pi\)
−0.593426 + 0.804888i \(0.702225\pi\)
\(450\) −4.44395 2.49641i −0.209490 0.117682i
\(451\) 0.940760i 0.0442986i
\(452\) 14.4435 8.33897i 0.679366 0.392232i
\(453\) −2.38337 + 0.653685i −0.111980 + 0.0307128i
\(454\) 11.3725i 0.533739i
\(455\) −17.3248 + 0.488106i −0.812199 + 0.0228828i
\(456\) −0.730041 2.66176i −0.0341873 0.124649i
\(457\) 9.47441i 0.443194i −0.975138 0.221597i \(-0.928873\pi\)
0.975138 0.221597i \(-0.0711270\pi\)
\(458\) 9.48968 + 16.4366i 0.443424 + 0.768032i
\(459\) 21.2618 + 20.5237i 0.992416 + 0.957964i
\(460\) 7.93928 + 13.7512i 0.370171 + 0.641155i
\(461\) 31.5250 18.2010i 1.46827 0.847703i 0.468898 0.883253i \(-0.344651\pi\)
0.999368 + 0.0355490i \(0.0113180\pi\)
\(462\) 7.63758 + 5.47988i 0.355332 + 0.254947i
\(463\) 17.8517i 0.829638i 0.909904 + 0.414819i \(0.136155\pi\)
−0.909904 + 0.414819i \(0.863845\pi\)
\(464\) −0.724381 0.418222i −0.0336286 0.0194155i
\(465\) −17.7941 17.5858i −0.825181 0.815522i
\(466\) 18.2307 10.5255i 0.844522 0.487585i
\(467\) −15.1928 26.3147i −0.703039 1.21770i −0.967394 0.253274i \(-0.918492\pi\)
0.264355 0.964425i \(-0.414841\pi\)
\(468\) −1.26483 + 10.7424i −0.0584670 + 0.496570i
\(469\) 13.4712 2.13450i 0.622040 0.0985622i
\(470\) 2.04295 3.53850i 0.0942343 0.163219i
\(471\) 13.7781 3.77892i 0.634862 0.174123i
\(472\) 2.19150i 0.100872i
\(473\) −1.71488 + 2.97027i −0.0788505 + 0.136573i
\(474\) 12.3507 + 3.23156i 0.567288 + 0.148430i
\(475\) −1.35373 2.34474i −0.0621136 0.107584i
\(476\) 14.0478 + 5.39141i 0.643879 + 0.247115i
\(477\) −0.843328 + 1.50124i −0.0386133 + 0.0687369i
\(478\) 16.6885 0.763316
\(479\) 19.9492 11.5177i 0.911504 0.526257i 0.0305891 0.999532i \(-0.490262\pi\)
0.880915 + 0.473275i \(0.156928\pi\)
\(480\) 0.796563 3.04440i 0.0363580 0.138957i
\(481\) −1.95617 + 15.0826i −0.0891935 + 0.687706i
\(482\) −15.2747 −0.695741
\(483\) 16.5072 + 36.4898i 0.751104 + 1.66034i
\(484\) 3.39615 5.88231i 0.154370 0.267378i
\(485\) 5.42553 + 3.13243i 0.246361 + 0.142236i
\(486\) 10.6935 11.3424i 0.485067 0.514500i
\(487\) 14.2075i 0.643804i 0.946773 + 0.321902i \(0.104322\pi\)
−0.946773 + 0.321902i \(0.895678\pi\)
\(488\) 5.97394 + 3.44906i 0.270428 + 0.156132i
\(489\) −40.0065 + 10.9726i −1.80916 + 0.496197i
\(490\) 12.4404 + 2.64262i 0.562000 + 0.119382i
\(491\) −2.47085 1.42654i −0.111508 0.0643790i 0.443209 0.896418i \(-0.353840\pi\)
−0.554717 + 0.832039i \(0.687173\pi\)
\(492\) −0.766068 + 0.210109i −0.0345370 + 0.00947245i
\(493\) 4.11968 + 2.37850i 0.185541 + 0.107122i
\(494\) −3.48889 + 4.56495i −0.156972 + 0.205387i
\(495\) −5.47588 + 9.74780i −0.246122 + 0.438131i
\(496\) −3.97501 + 6.88493i −0.178483 + 0.309142i
\(497\) 3.51325 + 22.1726i 0.157591 + 0.994578i
\(498\) −18.5626 18.3453i −0.831809 0.822071i
\(499\) −15.9720 + 9.22146i −0.715007 + 0.412809i −0.812912 0.582386i \(-0.802119\pi\)
0.0979055 + 0.995196i \(0.468786\pi\)
\(500\) 12.1712i 0.544312i
\(501\) −39.1443 + 10.7361i −1.74884 + 0.479652i
\(502\) 4.91975 + 8.52125i 0.219579 + 0.380322i
\(503\) −6.05432 10.4864i −0.269949 0.467565i 0.698900 0.715220i \(-0.253673\pi\)
−0.968848 + 0.247655i \(0.920340\pi\)
\(504\) 2.75653 7.44322i 0.122786 0.331547i
\(505\) −15.2564 8.80830i −0.678902 0.391964i
\(506\) −15.5255 + 8.96363i −0.690191 + 0.398482i
\(507\) 19.3895 11.4476i 0.861118 0.508405i
\(508\) −10.6930 + 18.5208i −0.474426 + 0.821730i
\(509\) 36.9477i 1.63768i −0.574023 0.818839i \(-0.694618\pi\)
0.574023 0.818839i \(-0.305382\pi\)
\(510\) −4.53019 + 17.3140i −0.200600 + 0.766677i
\(511\) −21.0435 + 17.0430i −0.930912 + 0.753936i
\(512\) −1.00000 −0.0441942
\(513\) 7.95895 2.28399i 0.351396 0.100841i
\(514\) 1.53233 0.0675883
\(515\) −8.48219 + 14.6916i −0.373770 + 0.647388i
\(516\) 2.80171 + 0.733065i 0.123339 + 0.0322714i
\(517\) 3.99504 + 2.30654i 0.175702 + 0.101441i
\(518\) 3.99882 10.4193i 0.175698 0.457797i
\(519\) 3.48449 + 12.7046i 0.152952 + 0.557672i
\(520\) −6.04728 + 2.51850i −0.265191 + 0.110443i
\(521\) 9.03063 15.6415i 0.395639 0.685267i −0.597543 0.801837i \(-0.703856\pi\)
0.993183 + 0.116569i \(0.0371898\pi\)
\(522\) 1.22899 2.18777i 0.0537914 0.0957559i
\(523\) 39.5905i 1.73117i −0.500762 0.865585i \(-0.666947\pi\)
0.500762 0.865585i \(-0.333053\pi\)
\(524\) 7.44741 + 12.8993i 0.325342 + 0.563508i
\(525\) 0.767761 7.74806i 0.0335078 0.338153i
\(526\) 16.9520 9.78724i 0.739142 0.426744i
\(527\) 22.6066 39.1558i 0.984759 1.70565i
\(528\) 3.43719 + 0.899337i 0.149585 + 0.0391386i
\(529\) −53.3806 −2.32089
\(530\) −1.04281 −0.0452967
\(531\) 6.57403 0.0774129i 0.285289 0.00335944i
\(532\) 3.27633 2.65347i 0.142047 0.115042i
\(533\) 1.31381 + 1.00412i 0.0569076 + 0.0434932i
\(534\) 4.75913 + 4.70342i 0.205948 + 0.203537i
\(535\) 9.72559 + 16.8452i 0.420474 + 0.728283i
\(536\) 4.46448 2.57757i 0.192836 0.111334i
\(537\) 8.06748 30.8332i 0.348137 1.33055i
\(538\) 13.5580 0.584527
\(539\) −2.98358 + 14.0455i −0.128512 + 0.604982i
\(540\) 9.16069 + 2.28198i 0.394214 + 0.0982009i
\(541\) −21.7849 + 12.5775i −0.936606 + 0.540750i −0.888895 0.458111i \(-0.848526\pi\)
−0.0477116 + 0.998861i \(0.515193\pi\)
\(542\) 28.0556 1.20509
\(543\) 0.235100 + 0.232348i 0.0100891 + 0.00997102i
\(544\) 5.68717 0.243836
\(545\) 9.02906 0.386762
\(546\) −15.8049 + 4.81730i −0.676386 + 0.206161i
\(547\) 9.83208 0.420389 0.210195 0.977660i \(-0.432590\pi\)
0.210195 + 0.977660i \(0.432590\pi\)
\(548\) 11.6043 0.495712
\(549\) −10.1354 + 18.0424i −0.432570 + 0.770032i
\(550\) 3.48520 0.148609
\(551\) 1.15432 0.666446i 0.0491756 0.0283916i
\(552\) 10.7666 + 10.6406i 0.458257 + 0.452893i
\(553\) 3.05188 + 19.2609i 0.129779 + 0.819055i
\(554\) −23.3285 −0.991131
\(555\) 12.8418 + 3.36005i 0.545106 + 0.142626i
\(556\) 13.6556 7.88408i 0.579127 0.334359i
\(557\) −2.73252 4.73287i −0.115781 0.200538i 0.802311 0.596906i \(-0.203604\pi\)
−0.918092 + 0.396368i \(0.870270\pi\)
\(558\) −20.7938 11.6810i −0.880270 0.494497i
\(559\) −2.31774 5.56522i −0.0980298 0.235384i
\(560\) 4.74771 0.752275i 0.200627 0.0317894i
\(561\) −19.5479 5.11469i −0.825313 0.215942i
\(562\) 26.6302 1.12333
\(563\) −25.5357 −1.07620 −0.538101 0.842880i \(-0.680858\pi\)
−0.538101 + 0.842880i \(0.680858\pi\)
\(564\) 0.985981 3.76834i 0.0415173 0.158676i
\(565\) −15.1507 + 26.2417i −0.637394 + 1.10400i
\(566\) 23.3128 13.4597i 0.979910 0.565752i
\(567\) 22.4255 + 8.00610i 0.941782 + 0.336225i
\(568\) 4.24250 + 7.34823i 0.178012 + 0.308325i
\(569\) 16.5159i 0.692384i −0.938164 0.346192i \(-0.887475\pi\)
0.938164 0.346192i \(-0.112525\pi\)
\(570\) 3.56669 + 3.52494i 0.149392 + 0.147643i
\(571\) −1.84946 + 3.20337i −0.0773977 + 0.134057i −0.902126 0.431472i \(-0.857994\pi\)
0.824729 + 0.565529i \(0.191328\pi\)
\(572\) −2.84344 6.82751i −0.118890 0.285473i
\(573\) 8.67989 2.38063i 0.362608 0.0994522i
\(574\) −0.763680 0.942943i −0.0318754 0.0393577i
\(575\) 12.8596 + 7.42449i 0.536282 + 0.309623i
\(576\) −0.0353243 2.99979i −0.00147184 0.124991i
\(577\) −4.25571 + 7.37111i −0.177168 + 0.306863i −0.940909 0.338659i \(-0.890027\pi\)
0.763742 + 0.645522i \(0.223360\pi\)
\(578\) −15.3439 −0.638224
\(579\) 4.82800 18.4522i 0.200645 0.766848i
\(580\) 1.51969 0.0631019
\(581\) 14.2842 37.2188i 0.592609 1.54409i
\(582\) 5.77794 + 1.51179i 0.239503 + 0.0626658i
\(583\) 1.17735i 0.0487610i
\(584\) −5.11752 + 8.86381i −0.211765 + 0.366787i
\(585\) −7.76858 18.0516i −0.321191 0.746342i
\(586\) 6.97220 4.02540i 0.288019 0.166288i
\(587\) 5.89064 + 3.40096i 0.243133 + 0.140373i 0.616616 0.787264i \(-0.288503\pi\)
−0.373483 + 0.927637i \(0.621837\pi\)
\(588\) 12.1037 0.707360i 0.499148 0.0291710i
\(589\) −6.33428 10.9713i −0.260999 0.452064i
\(590\) 1.99081 + 3.44819i 0.0819604 + 0.141960i
\(591\) −10.2010 37.1935i −0.419615 1.52994i
\(592\) 4.21819i 0.173366i
\(593\) 6.06317 3.50057i 0.248984 0.143751i −0.370315 0.928906i \(-0.620750\pi\)
0.619299 + 0.785155i \(0.287417\pi\)
\(594\) −2.57641 + 10.3426i −0.105711 + 0.424363i
\(595\) −27.0011 + 4.27832i −1.10694 + 0.175394i
\(596\) −2.40740 + 4.16974i −0.0986111 + 0.170799i
\(597\) −23.5232 23.2479i −0.962742 0.951472i
\(598\) 4.05295 31.2493i 0.165737 1.27788i
\(599\) 36.0831 + 20.8326i 1.47432 + 0.851197i 0.999581 0.0289321i \(-0.00921067\pi\)
0.474735 + 0.880129i \(0.342544\pi\)
\(600\) −0.778384 2.83803i −0.0317774 0.115862i
\(601\) 1.93484 + 1.11708i 0.0789239 + 0.0455668i 0.538943 0.842342i \(-0.318824\pi\)
−0.460019 + 0.887909i \(0.652157\pi\)
\(602\) 0.692308 + 4.36925i 0.0282164 + 0.178077i
\(603\) 7.88987 + 13.3015i 0.321301 + 0.541677i
\(604\) −1.23569 0.713427i −0.0502796 0.0290289i
\(605\) 12.3406i 0.501717i
\(606\) −16.2474 4.25111i −0.660006 0.172690i
\(607\) −0.586288 0.338493i −0.0237967 0.0137390i 0.488054 0.872813i \(-0.337707\pi\)
−0.511851 + 0.859074i \(0.671040\pi\)
\(608\) 0.796762 1.38003i 0.0323129 0.0559677i
\(609\) 3.81438 + 0.377970i 0.154567 + 0.0153161i
\(610\) −12.5329 −0.507441
\(611\) −7.48529 + 3.11738i −0.302822 + 0.126116i
\(612\) 0.200895 + 17.0603i 0.00812071 + 0.689623i
\(613\) 6.34919 3.66571i 0.256441 0.148057i −0.366269 0.930509i \(-0.619365\pi\)
0.622710 + 0.782453i \(0.286032\pi\)
\(614\) −13.6194 −0.549634
\(615\) 1.01449 1.02651i 0.0409084 0.0413929i
\(616\) 0.849335 + 5.36027i 0.0342207 + 0.215972i
\(617\) −22.6183 39.1761i −0.910579 1.57717i −0.813248 0.581917i \(-0.802303\pi\)
−0.0973311 0.995252i \(-0.531031\pi\)
\(618\) −4.09372 + 15.6459i −0.164674 + 0.629369i
\(619\) 5.37271 9.30581i 0.215948 0.374032i −0.737618 0.675219i \(-0.764049\pi\)
0.953565 + 0.301186i \(0.0973826\pi\)
\(620\) 14.4440i 0.580086i
\(621\) −31.5392 + 32.6735i −1.26562 + 1.31114i
\(622\) 12.6742 21.9523i 0.508187 0.880206i
\(623\) −3.66223 + 9.54227i −0.146724 + 0.382303i
\(624\) −4.92465 + 3.84029i −0.197144 + 0.153735i
\(625\) 6.80901 + 11.7935i 0.272360 + 0.471742i
\(626\) 7.41295 4.27987i 0.296281 0.171058i
\(627\) −3.97974 + 4.02688i −0.158935 + 0.160818i
\(628\) 7.14347 + 4.12428i 0.285055 + 0.164577i
\(629\) 23.9896i 0.956527i
\(630\) 2.42438 + 14.2156i 0.0965895 + 0.566362i
\(631\) 15.7277 9.08038i 0.626109 0.361484i −0.153135 0.988205i \(-0.548937\pi\)
0.779244 + 0.626721i \(0.215603\pi\)
\(632\) 3.68537 + 6.38325i 0.146596 + 0.253912i
\(633\) 7.15193 + 26.0763i 0.284264 + 1.03644i
\(634\) −11.7752 20.3952i −0.467652 0.809998i
\(635\) 38.8553i 1.54192i
\(636\) −0.958729 + 0.262950i −0.0380161 + 0.0104266i
\(637\) −16.4306 19.1581i −0.651006 0.759073i
\(638\) 1.71577i 0.0679279i
\(639\) −21.8933 + 12.9862i −0.866086 + 0.513726i
\(640\) 1.57344 0.908426i 0.0621957 0.0359087i
\(641\) 14.4746i 0.571714i 0.958272 + 0.285857i \(0.0922782\pi\)
−0.958272 + 0.285857i \(0.907722\pi\)
\(642\) 13.1891 + 13.0347i 0.520531 + 0.514437i
\(643\) 6.24408 + 10.8151i 0.246243 + 0.426505i 0.962480 0.271352i \(-0.0874707\pi\)
−0.716238 + 0.697856i \(0.754137\pi\)
\(644\) −8.28509 + 21.5875i −0.326478 + 0.850668i
\(645\) −5.07427 + 1.39172i −0.199799 + 0.0547988i
\(646\) −4.53132 + 7.84848i −0.178282 + 0.308794i
\(647\) 16.1151 + 27.9122i 0.633550 + 1.09734i 0.986820 + 0.161819i \(0.0517361\pi\)
−0.353271 + 0.935521i \(0.614931\pi\)
\(648\) 8.99750 0.211931i 0.353455 0.00832543i
\(649\) −3.89308 + 2.24767i −0.152817 + 0.0882288i
\(650\) −3.71992 + 4.86724i −0.145907 + 0.190909i
\(651\) 3.59244 36.2540i 0.140799 1.42091i
\(652\) −20.7420 11.9754i −0.812319 0.468992i
\(653\) 36.7354i 1.43757i −0.695234 0.718783i \(-0.744699\pi\)
0.695234 0.718783i \(-0.255301\pi\)
\(654\) 8.30107 2.27673i 0.324597 0.0890271i
\(655\) −23.4361 13.5309i −0.915725 0.528694i
\(656\) −0.397180 0.229312i −0.0155073 0.00895312i
\(657\) −26.7704 15.0384i −1.04441 0.586704i
\(658\) 5.87669 0.931162i 0.229097 0.0363005i
\(659\) −39.7060 + 22.9243i −1.54673 + 0.893003i −0.548338 + 0.836257i \(0.684739\pi\)
−0.998389 + 0.0567462i \(0.981927\pi\)
\(660\) −6.22520 + 1.70738i −0.242316 + 0.0664598i
\(661\) −7.51367 13.0141i −0.292248 0.506188i 0.682093 0.731265i \(-0.261070\pi\)
−0.974341 + 0.225077i \(0.927737\pi\)
\(662\) −6.15849 3.55561i −0.239356 0.138193i
\(663\) 28.0073 21.8404i 1.08771 0.848211i
\(664\) 15.0678i 0.584745i
\(665\) −2.74463 + 7.15138i −0.106432 + 0.277318i
\(666\) 12.6537 0.149004i 0.490320 0.00577380i
\(667\) −3.65509 + 6.33080i −0.141526 + 0.245130i
\(668\) −20.2949 11.7173i −0.785234 0.453355i
\(669\) 4.50350 + 16.4200i 0.174115 + 0.634833i
\(670\) −4.68306 + 8.11130i −0.180923 + 0.313367i
\(671\) 14.1499i 0.546250i
\(672\) 4.17522 1.88878i 0.161063 0.0728614i
\(673\) −13.8713 + 24.0258i −0.534700 + 0.926127i 0.464478 + 0.885585i \(0.346242\pi\)
−0.999178 + 0.0405428i \(0.987091\pi\)
\(674\) −19.1187 −0.736423
\(675\) 8.48599 2.43524i 0.326626 0.0937324i
\(676\) 12.5699 + 3.31634i 0.483457 + 0.127552i
\(677\) 0.275329 + 0.476883i 0.0105817 + 0.0183281i 0.871268 0.490808i \(-0.163298\pi\)
−0.860686 + 0.509136i \(0.829965\pi\)
\(678\) −7.31211 + 27.9463i −0.280820 + 1.07327i
\(679\) 1.42774 + 9.01065i 0.0547915 + 0.345797i
\(680\) −8.94843 + 5.16638i −0.343157 + 0.198122i
\(681\) 14.0102 + 13.8462i 0.536872 + 0.530587i
\(682\) 16.3076 0.624452
\(683\) 36.3756 1.39188 0.695938 0.718102i \(-0.254989\pi\)
0.695938 + 0.718102i \(0.254989\pi\)
\(684\) 4.16795 + 2.34137i 0.159366 + 0.0895245i
\(685\) −18.2587 + 10.5417i −0.697629 + 0.402776i
\(686\) 8.41119 + 16.5001i 0.321141 + 0.629975i
\(687\) −31.8026 8.32112i −1.21335 0.317471i
\(688\) 0.836012 + 1.44802i 0.0318727 + 0.0552051i
\(689\) 1.64423 + 1.25665i 0.0626401 + 0.0478744i
\(690\) −26.6068 6.96164i −1.01290 0.265025i
\(691\) 32.3519 1.23073 0.615363 0.788244i \(-0.289010\pi\)
0.615363 + 0.788244i \(0.289010\pi\)
\(692\) −3.80295 + 6.58691i −0.144567 + 0.250397i
\(693\) −16.0497 + 2.73718i −0.609678 + 0.103977i
\(694\) 23.0701i 0.875728i
\(695\) −14.3242 + 24.8103i −0.543348 + 0.941107i
\(696\) 1.39717 0.383200i 0.0529594 0.0145251i
\(697\) 2.25883 + 1.30414i 0.0855593 + 0.0493977i
\(698\) −2.11359 + 3.66085i −0.0800007 + 0.138565i
\(699\) −9.22941 + 35.2740i −0.349088 + 1.33419i
\(700\) 3.49329 2.82918i 0.132034 0.106933i
\(701\) 13.2279i 0.499612i 0.968296 + 0.249806i \(0.0803669\pi\)
−0.968296 + 0.249806i \(0.919633\pi\)
\(702\) −11.6940 14.6373i −0.441363 0.552448i
\(703\) 5.82123 + 3.36089i 0.219552 + 0.126758i
\(704\) 1.02563 + 1.77645i 0.0386550 + 0.0669525i
\(705\) 1.87187 + 6.82495i 0.0704989 + 0.257042i
\(706\) 27.6603 15.9697i 1.04101 0.601028i
\(707\) −4.01476 25.3377i −0.150990 0.952922i
\(708\) 2.69978 + 2.66817i 0.101464 + 0.100276i
\(709\) 23.6162 + 13.6348i 0.886926 + 0.512067i 0.872936 0.487835i \(-0.162213\pi\)
0.0139902 + 0.999902i \(0.495547\pi\)
\(710\) −13.3507 7.70801i −0.501041 0.289276i
\(711\) −19.0182 + 11.2808i −0.713240 + 0.423064i
\(712\) 3.86314i 0.144777i
\(713\) 60.1715 + 34.7400i 2.25344 + 1.30102i
\(714\) −23.7452 + 10.7418i −0.888643 + 0.402003i
\(715\) 10.6763 + 8.15963i 0.399270 + 0.305153i
\(716\) 15.9356 9.20041i 0.595541 0.343836i
\(717\) −20.3185 + 20.5592i −0.758809 + 0.767797i
\(718\) −12.2496 21.2169i −0.457151 0.791808i
\(719\) 7.69041 13.3202i 0.286804 0.496759i −0.686241 0.727374i \(-0.740741\pi\)
0.973045 + 0.230615i \(0.0740739\pi\)
\(720\) 2.78067 + 4.68791i 0.103629 + 0.174708i
\(721\) −24.3996 + 3.86611i −0.908688 + 0.143982i
\(722\) −8.23034 14.2554i −0.306302 0.530530i
\(723\) 18.5971 18.8174i 0.691633 0.699826i
\(724\) 0.190838i 0.00709245i
\(725\) 1.23076 0.710578i 0.0457092 0.0263902i
\(726\) 3.11176 + 11.3456i 0.115488 + 0.421075i
\(727\) 34.8309i 1.29181i 0.763420 + 0.645903i \(0.223519\pi\)
−0.763420 + 0.645903i \(0.776481\pi\)
\(728\) −8.39241 4.53514i −0.311043 0.168084i
\(729\) 0.953579 + 26.9832i 0.0353177 + 0.999376i
\(730\) 18.5956i 0.688253i
\(731\) −4.75455 8.23511i −0.175853 0.304587i
\(732\) −11.5224 + 3.16023i −0.425879 + 0.116806i
\(733\) 9.43951 + 16.3497i 0.348656 + 0.603890i 0.986011 0.166680i \(-0.0533048\pi\)
−0.637355 + 0.770570i \(0.719971\pi\)
\(734\) 28.7618 16.6056i 1.06162 0.612925i
\(735\) −18.4019 + 12.1083i −0.678763 + 0.446622i
\(736\) 8.73960i 0.322146i
\(737\) −9.15784 5.28728i −0.337333 0.194760i
\(738\) 0.673858 1.19956i 0.0248050 0.0441563i
\(739\) 6.89197 3.97908i 0.253525 0.146373i −0.367852 0.929884i \(-0.619907\pi\)
0.621377 + 0.783511i \(0.286573\pi\)
\(740\) 3.83191 + 6.63707i 0.140864 + 0.243984i
\(741\) −1.37595 9.85597i −0.0505470 0.362068i
\(742\) −0.955740 1.18009i −0.0350863 0.0433223i
\(743\) −9.17025 + 15.8833i −0.336424 + 0.582703i −0.983757 0.179504i \(-0.942551\pi\)
0.647334 + 0.762207i \(0.275884\pi\)
\(744\) −3.64215 13.2794i −0.133528 0.486848i
\(745\) 8.74779i 0.320494i
\(746\) −2.06003 + 3.56807i −0.0754230 + 0.130636i
\(747\) 45.2003 0.532260i 1.65379 0.0194744i
\(748\) −5.83296 10.1030i −0.213274 0.369401i
\(749\) −10.1492 + 26.4446i −0.370844 + 0.966266i
\(750\) 14.9941 + 14.8186i 0.547507 + 0.541098i
\(751\) −13.7928 −0.503307 −0.251654 0.967817i \(-0.580974\pi\)
−0.251654 + 0.967817i \(0.580974\pi\)
\(752\) 1.94760 1.12445i 0.0710215 0.0410043i
\(753\) −16.4875 4.31393i −0.600837 0.157208i
\(754\) −2.39615 1.83132i −0.0872627 0.0666929i
\(755\) 2.59238 0.0943465
\(756\) 5.81344 + 12.4581i 0.211433 + 0.453096i
\(757\) 21.2683 36.8378i 0.773010 1.33889i −0.162896 0.986643i \(-0.552084\pi\)
0.935906 0.352249i \(-0.114583\pi\)
\(758\) 2.80001 + 1.61659i 0.101701 + 0.0587171i
\(759\) 7.85985 30.0397i 0.285294 1.09037i
\(760\) 2.89520i 0.105020i
\(761\) 27.9822 + 16.1555i 1.01435 + 0.585638i 0.912464 0.409157i \(-0.134177\pi\)
0.101891 + 0.994796i \(0.467511\pi\)
\(762\) −9.79758 35.7225i −0.354929 1.29409i
\(763\) 8.27519 + 10.2177i 0.299582 + 0.369904i
\(764\) 4.50022 + 2.59820i 0.162812 + 0.0939997i
\(765\) −15.8142 26.6609i −0.571762 0.963928i
\(766\) −3.61672 2.08811i −0.130677 0.0754465i
\(767\) 1.01630 7.83592i 0.0366963 0.282939i
\(768\) 1.21751 1.23193i 0.0439332 0.0444536i
\(769\) 6.20736 10.7515i 0.223843 0.387707i −0.732129 0.681166i \(-0.761473\pi\)
0.955972 + 0.293459i \(0.0948064\pi\)
\(770\) −6.20579 7.66251i −0.223641 0.276138i
\(771\) −1.86563 + 1.88773i −0.0671892 + 0.0679850i
\(772\) 9.53669 5.50601i 0.343233 0.198166i
\(773\) 12.5201i 0.450318i −0.974322 0.225159i \(-0.927710\pi\)
0.974322 0.225159i \(-0.0722901\pi\)
\(774\) −4.31421