Properties

Label 546.2.bi.f.17.15
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 17.15
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.15

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(1.67564 - 0.438430i) q^{3} +1.00000 q^{4} +(1.57344 - 0.908426i) q^{5} +(1.67564 - 0.438430i) q^{6} +(-2.47008 - 0.947995i) q^{7} +1.00000 q^{8} +(2.61556 - 1.46930i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(1.67564 - 0.438430i) q^{3} +1.00000 q^{4} +(1.57344 - 0.908426i) q^{5} +(1.67564 - 0.438430i) q^{6} +(-2.47008 - 0.947995i) q^{7} +1.00000 q^{8} +(2.61556 - 1.46930i) q^{9} +(1.57344 - 0.908426i) q^{10} +(-1.02563 - 1.77645i) q^{11} +(1.67564 - 0.438430i) q^{12} +(-3.57560 - 0.463745i) q^{13} +(-2.47008 - 0.947995i) q^{14} +(2.23824 - 2.21204i) q^{15} +1.00000 q^{16} +5.68717 q^{17} +(2.61556 - 1.46930i) q^{18} +(-0.796762 + 1.38003i) q^{19} +(1.57344 - 0.908426i) q^{20} +(-4.55461 - 0.505542i) q^{21} +(-1.02563 - 1.77645i) q^{22} +8.73960i q^{23} +(1.67564 - 0.438430i) 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} +(2.23824 - 2.21204i) q^{30} +(-3.97501 + 6.88493i) q^{31} +1.00000 q^{32} +(-2.49744 - 2.52703i) q^{33} +5.68717 q^{34} +(-4.74771 + 0.752275i) q^{35} +(2.61556 - 1.46930i) q^{36} -4.21819i q^{37} +(-0.796762 + 1.38003i) q^{38} +(-6.19475 + 0.790580i) q^{39} +(1.57344 - 0.908426i) q^{40} +(0.397180 + 0.229312i) q^{41} +(-4.55461 - 0.505542i) 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} +(1.67564 - 0.438430i) q^{48} +(5.20261 + 4.68325i) q^{49} +(-0.849523 + 1.47142i) q^{50} +(9.52967 - 2.49343i) 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} +(2.23824 - 2.21204i) q^{60} +(-5.97394 - 3.44906i) q^{61} +(-3.97501 + 6.88493i) q^{62} +(-7.85354 + 1.14977i) q^{63} +1.00000 q^{64} +(-6.04728 + 2.51850i) q^{65} +(-2.49744 - 2.52703i) q^{66} +(-4.46448 + 2.57757i) q^{67} +5.68717 q^{68} +(3.83170 + 14.6444i) q^{69} +(-4.74771 + 0.752275i) q^{70} +(4.24250 + 7.34823i) q^{71} +(2.61556 - 1.46930i) 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} +(-6.19475 + 0.790580i) q^{78} +(-3.68537 - 6.38325i) q^{79} +(1.57344 - 0.908426i) q^{80} +(4.68229 - 7.68610i) q^{81} +(0.397180 + 0.229312i) q^{82} -15.0678i q^{83} +(-4.55461 - 0.505542i) 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} +(1.67564 - 0.438430i) q^{96} +(-1.72410 - 2.98622i) q^{97} +(5.20261 + 4.68325i) q^{98} +(-5.29275 - 3.13944i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

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
\(3\) 1.67564 0.438430i 0.967433 0.253128i
\(4\) 1.00000 0.500000
\(5\) 1.57344 0.908426i 0.703664 0.406261i −0.105047 0.994467i \(-0.533499\pi\)
0.808711 + 0.588207i \(0.200166\pi\)
\(6\) 1.67564 0.438430i 0.684078 0.178988i
\(7\) −2.47008 0.947995i −0.933603 0.358308i
\(8\) 1.00000 0.353553
\(9\) 2.61556 1.46930i 0.871853 0.489768i
\(10\) 1.57344 0.908426i 0.497566 0.287270i
\(11\) −1.02563 1.77645i −0.309240 0.535620i 0.668956 0.743302i \(-0.266741\pi\)
−0.978196 + 0.207682i \(0.933408\pi\)
\(12\) 1.67564 0.438430i 0.483716 0.126564i
\(13\) −3.57560 0.463745i −0.991694 0.128620i
\(14\) −2.47008 0.947995i −0.660157 0.253362i
\(15\) 2.23824 2.21204i 0.577912 0.571147i
\(16\) 1.00000 0.250000
\(17\) 5.68717 1.37934 0.689671 0.724123i \(-0.257755\pi\)
0.689671 + 0.724123i \(0.257755\pi\)
\(18\) 2.61556 1.46930i 0.616493 0.346318i
\(19\) −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
\(21\) −4.55461 0.505542i −0.993896 0.110318i
\(22\) −1.02563 1.77645i −0.218666 0.378740i
\(23\) 8.73960i 1.82233i 0.412039 + 0.911166i \(0.364817\pi\)
−0.412039 + 0.911166i \(0.635183\pi\)
\(24\) 1.67564 0.438430i 0.342039 0.0894942i
\(25\) −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 0.565747 0.824579i \(-0.308588\pi\)
−0.431233 + 0.902241i \(0.641921\pi\)
\(30\) 2.23824 2.21204i 0.408645 0.403862i
\(31\) −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
\(33\) −2.49744 2.52703i −0.434749 0.439899i
\(34\) 5.68717 0.975342
\(35\) −4.74771 + 0.752275i −0.802510 + 0.127158i
\(36\) 2.61556 1.46930i 0.435926 0.244884i
\(37\) 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
\(39\) −6.19475 + 0.790580i −0.991955 + 0.126594i
\(40\) 1.57344 0.908426i 0.248783 0.143635i
\(41\) 0.397180 + 0.229312i 0.0620290 + 0.0358125i 0.530694 0.847564i \(-0.321931\pi\)
−0.468665 + 0.883376i \(0.655265\pi\)
\(42\) −4.55461 0.505542i −0.702791 0.0780069i
\(43\) 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 −0.635272 0.772289i \(-0.719112\pi\)
0.351186 + 0.936306i \(0.385779\pi\)
\(48\) 1.67564 0.438430i 0.241858 0.0632819i
\(49\) 5.20261 + 4.68325i 0.743230 + 0.669036i
\(50\) −0.849523 + 1.47142i −0.120141 + 0.208090i
\(51\) 9.52967 2.49343i 1.33442 0.349150i
\(52\) −3.57560 0.463745i −0.495847 0.0643099i
\(53\) 0.497067 + 0.286982i 0.0682774 + 0.0394200i 0.533750 0.845642i \(-0.320782\pi\)
−0.465473 + 0.885062i \(0.654116\pi\)
\(54\) 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 \(-0.954436\pi\)
0.989773 0.142654i \(-0.0455637\pi\)
\(60\) 2.23824 2.21204i 0.288956 0.285573i
\(61\) −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
\(63\) −7.85354 + 1.14977i −0.989453 + 0.144857i
\(64\) 1.00000 0.125000
\(65\) −6.04728 + 2.51850i −0.750073 + 0.312381i
\(66\) −2.49744 2.52703i −0.307414 0.311055i
\(67\) −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
\(69\) 3.83170 + 14.6444i 0.461283 + 1.76298i
\(70\) −4.74771 + 0.752275i −0.567460 + 0.0899140i
\(71\) 4.24250 + 7.34823i 0.503493 + 0.872075i 0.999992 + 0.00403764i \(0.00128522\pi\)
−0.496499 + 0.868037i \(0.665381\pi\)
\(72\) 2.61556 1.46930i 0.308246 0.173159i
\(73\) 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
\(78\) −6.19475 + 0.790580i −0.701418 + 0.0895156i
\(79\) −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
\(81\) 4.68229 7.68610i 0.520254 0.854011i
\(82\) 0.397180 + 0.229312i 0.0438612 + 0.0253233i
\(83\) 15.0678i 1.65391i −0.562269 0.826954i \(-0.690071\pi\)
0.562269 0.826954i \(-0.309929\pi\)
\(84\) −4.55461 0.505542i −0.496948 0.0551592i
\(85\) 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 \(0.0656368\pi\)
−0.978815 + 0.204746i \(0.934363\pi\)
\(90\) 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
\(96\) 1.67564 0.438430i 0.171020 0.0447471i
\(97\) −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 0.517391 0.855749i \(-0.326903\pi\)
−0.999796 + 0.0201992i \(0.993570\pi\)
\(102\) 9.52967 2.49343i 0.943578 0.246886i
\(103\) 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
\(105\) −7.62565 + 3.34208i −0.744187 + 0.326154i
\(106\) 0.497067 + 0.286982i 0.0482794 + 0.0278742i
\(107\) 10.7060i 1.03499i 0.855687 + 0.517493i \(0.173135\pi\)
−0.855687 + 0.517493i \(0.826865\pi\)
\(108\) 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
\(111\) −1.84938 7.06818i −0.175535 0.670882i
\(112\) −2.47008 0.947995i −0.233401 0.0895771i
\(113\) −14.4435 + 8.33897i −1.35873 + 0.784464i −0.989453 0.144855i \(-0.953729\pi\)
−0.369279 + 0.929319i \(0.620395\pi\)
\(114\) −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
\(117\) −10.0336 + 4.04070i −0.927605 + 0.373563i
\(118\) 2.19150i 0.201743i
\(119\) −14.0478 5.39141i −1.28776 0.494230i
\(120\) 2.23824 2.21204i 0.204323 0.201931i
\(121\) 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
\(126\) −7.85354 + 1.14977i −0.699649 + 0.102429i
\(127\) −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
\(129\) 2.03571 + 2.05982i 0.179234 + 0.181357i
\(130\) −6.04728 + 2.51850i −0.530381 + 0.220887i
\(131\) −7.44741 12.8993i −0.650683 1.12702i −0.982957 0.183834i \(-0.941149\pi\)
0.332274 0.943183i \(-0.392184\pi\)
\(132\) −2.49744 2.52703i −0.217375 0.219949i
\(133\) 3.27633 2.65347i 0.284094 0.230085i
\(134\) −4.46448 + 2.57757i −0.385672 + 0.222668i
\(135\) 2.60409 9.07439i 0.224125 0.780999i
\(136\) 5.68717 0.487671
\(137\) −11.6043 −0.991424 −0.495712 0.868487i \(-0.665093\pi\)
−0.495712 + 0.868487i \(0.665093\pi\)
\(138\) 3.83170 + 14.6444i 0.326176 + 1.24662i
\(139\) 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
\(141\) −2.77049 + 2.73805i −0.233317 + 0.230586i
\(142\) 4.24250 + 7.34823i 0.356023 + 0.616650i
\(143\) 2.84344 + 6.82751i 0.237780 + 0.570945i
\(144\) 2.61556 1.46930i 0.217963 0.122442i
\(145\) 1.51969 0.126204
\(146\) 5.11752 8.86381i 0.423529 0.733574i
\(147\) 10.7710 + 5.56647i 0.888377 + 0.459115i
\(148\) 4.21819i 0.346733i
\(149\) 2.40740 4.16974i 0.197222 0.341599i −0.750405 0.660979i \(-0.770141\pi\)
0.947627 + 0.319380i \(0.103475\pi\)
\(150\) −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
\(153\) 14.8751 8.35619i 1.20258 0.675558i
\(154\) 0.849335 + 5.36027i 0.0684414 + 0.431943i
\(155\) 14.4440i 1.16017i
\(156\) −6.19475 + 0.790580i −0.495977 + 0.0632971i
\(157\) 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
\(162\) 4.68229 7.68610i 0.367875 0.603877i
\(163\) −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 \(0.0280814\pi\)
0.574358 + 0.818604i \(0.305252\pi\)
\(168\) −4.55461 0.505542i −0.351395 0.0390034i
\(169\) 12.5699 + 3.31634i 0.966914 + 0.255103i
\(170\) 8.94843 5.16638i 0.686313 0.396243i
\(171\) −0.0562900 + 4.78024i −0.00430461 + 0.365554i
\(172\) 0.836012 + 1.44802i 0.0637453 + 0.110410i
\(173\) 3.80295 6.58691i 0.289133 0.500794i −0.684470 0.729041i \(-0.739966\pi\)
0.973603 + 0.228248i \(0.0732996\pi\)
\(174\) 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
\(177\) −0.960817 3.67216i −0.0722194 0.276017i
\(178\) 3.86314i 0.289554i
\(179\) −15.9356 + 9.20041i −1.19108 + 0.687671i −0.958552 0.284918i \(-0.908034\pi\)
−0.232530 + 0.972589i \(0.574700\pi\)
\(180\) 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
\(189\) −12.6556 + 5.36983i −0.920562 + 0.390597i
\(190\) 2.89520i 0.210040i
\(191\) −4.50022 2.59820i −0.325625 0.187999i 0.328272 0.944583i \(-0.393534\pi\)
−0.653897 + 0.756584i \(0.726867\pi\)
\(192\) 1.67564 0.438430i 0.120929 0.0316410i
\(193\) 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
\(195\) −9.02890 + 6.87141i −0.646573 + 0.492072i
\(196\) 5.20261 + 4.68325i 0.371615 + 0.334518i
\(197\) −11.1333 + 19.2835i −0.793218 + 1.37389i 0.130746 + 0.991416i \(0.458263\pi\)
−0.923964 + 0.382478i \(0.875071\pi\)
\(198\) −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
\(201\) −6.35079 + 6.27645i −0.447950 + 0.442706i
\(202\) −4.84811 8.39717i −0.341112 0.590823i
\(203\) −1.39281 1.71975i −0.0977560 0.120703i
\(204\) 9.52967 2.49343i 0.667211 0.174575i
\(205\) 0.833252 0.0581968
\(206\) 8.08628 4.66861i 0.563398 0.325278i
\(207\) 12.8411 + 22.8589i 0.892520 + 1.58881i
\(208\) −3.57560 0.463745i −0.247923 0.0321550i
\(209\) 3.26874 0.226104
\(210\) −7.62565 + 3.34208i −0.526220 + 0.230626i
\(211\) −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
\(213\) 10.3306 + 10.4530i 0.707842 + 0.716226i
\(214\) 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
\(222\) −1.84938 7.06818i −0.124122 0.474385i
\(223\) −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
\(225\) −0.0600175 + 5.09678i −0.00400117 + 0.339786i
\(226\) −14.4435 + 8.33897i −0.960768 + 0.554700i
\(227\) 11.3725i 0.754821i −0.926046 0.377410i \(-0.876815\pi\)
0.926046 0.377410i \(-0.123185\pi\)
\(228\) −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
\(231\) 3.77329 + 8.60953i 0.248264 + 0.566465i
\(232\) 0.724381 + 0.418222i 0.0475580 + 0.0274576i
\(233\) 18.2307 10.5255i 1.19433 0.689550i 0.235048 0.971984i \(-0.424475\pi\)
0.959287 + 0.282434i \(0.0911419\pi\)
\(234\) −10.0336 + 4.04070i −0.655916 + 0.264149i
\(235\) −2.04295 + 3.53850i −0.133267 + 0.230826i
\(236\) 2.19150i 0.142654i
\(237\) −8.97398 9.08027i −0.582922 0.589827i
\(238\) −14.0478 5.39141i −0.910583 0.349473i
\(239\) 16.6885 1.07949 0.539746 0.841828i \(-0.318520\pi\)
0.539746 + 0.841828i \(0.318520\pi\)
\(240\) 2.23824 2.21204i 0.144478 0.142787i
\(241\) 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
\(243\) 4.47603 14.9320i 0.287137 0.957889i
\(244\) −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
\(249\) −6.60619 25.2483i −0.418650 1.60005i
\(250\) 12.1712i 0.769773i
\(251\) 4.91975 + 8.52125i 0.310532 + 0.537857i 0.978478 0.206353i \(-0.0661596\pi\)
−0.667946 + 0.744210i \(0.732826\pi\)
\(252\) −7.85354 + 1.14977i −0.494726 + 0.0724285i
\(253\) 15.5255 8.96363i 0.976077 0.563538i
\(254\) −10.6930 + 18.5208i −0.670940 + 1.16210i
\(255\) 12.7293 12.5803i 0.797138 0.787807i
\(256\) 1.00000 0.0625000
\(257\) 1.53233 0.0955843 0.0477921 0.998857i \(-0.484781\pi\)
0.0477921 + 0.998857i \(0.484781\pi\)
\(258\) 2.03571 + 2.05982i 0.126738 + 0.128239i
\(259\) −3.99882 + 10.4193i −0.248475 + 0.647422i
\(260\) −6.04728 + 2.51850i −0.375036 + 0.156191i
\(261\) 2.50916 + 0.0295467i 0.155313 + 0.00182890i
\(262\) −7.44741 12.8993i −0.460103 0.796921i
\(263\) 16.9520 9.78724i 1.04530 0.603507i 0.123973 0.992286i \(-0.460436\pi\)
0.921331 + 0.388779i \(0.127103\pi\)
\(264\) −2.49744 2.52703i −0.153707 0.155528i
\(265\) 1.04281 0.0640592
\(266\) 3.27633 2.65347i 0.200885 0.162694i
\(267\) 1.69372 + 6.47324i 0.103654 + 0.396156i
\(268\) −4.46448 + 2.57757i −0.272712 + 0.157450i
\(269\) 13.5580 0.826646 0.413323 0.910584i \(-0.364368\pi\)
0.413323 + 0.910584i \(0.364368\pi\)
\(270\) 2.60409 9.07439i 0.158480 0.552250i
\(271\) −28.0556 −1.70425 −0.852127 0.523335i \(-0.824688\pi\)
−0.852127 + 0.523335i \(0.824688\pi\)
\(272\) 5.68717 0.344836
\(273\) 16.0510 + 3.91980i 0.971452 + 0.237237i
\(274\) −11.6043 −0.701042
\(275\) 3.48520 0.210165
\(276\) 3.83170 + 14.6444i 0.230641 + 0.881492i
\(277\) 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
\(279\) −0.280829 + 23.8484i −0.0168128 + 1.42777i
\(280\) −4.74771 + 0.752275i −0.283730 + 0.0449570i
\(281\) 26.6302 1.58862 0.794311 0.607512i \(-0.207832\pi\)
0.794311 + 0.607512i \(0.207832\pi\)
\(282\) −2.77049 + 2.73805i −0.164980 + 0.163049i
\(283\) −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
\(285\) 1.26934 + 4.85132i 0.0751893 + 0.287367i
\(286\) 2.84344 + 6.82751i 0.168136 + 0.403719i
\(287\) −0.763680 0.942943i −0.0450786 0.0556602i
\(288\) 2.61556 1.46930i 0.154123 0.0865796i
\(289\) 15.3439 0.902585
\(290\) 1.51969 0.0892395
\(291\) −4.19822 4.24795i −0.246104 0.249019i
\(292\) 5.11752 8.86381i 0.299480 0.518715i
\(293\) 6.97220 4.02540i 0.407320 0.235167i −0.282317 0.959321i \(-0.591103\pi\)
0.689638 + 0.724154i \(0.257770\pi\)
\(294\) 10.7710 + 5.56647i 0.628177 + 0.324643i
\(295\) −1.99081 3.44819i −0.115910 0.200761i
\(296\) 4.21819i 0.245177i
\(297\) −10.2452 2.94008i −0.594486 0.170601i
\(298\) 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
\(303\) −11.8053 11.9451i −0.678195 0.686228i
\(304\) −0.796762 + 1.38003i −0.0456974 + 0.0791502i
\(305\) −12.5329 −0.717630
\(306\) 14.8751 8.35619i 0.850355 0.477692i
\(307\) 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
\(309\) 11.5029 11.3682i 0.654374 0.646714i
\(310\) 14.4440i 0.820366i
\(311\) 12.6742 21.9523i 0.718685 1.24480i −0.242835 0.970068i \(-0.578077\pi\)
0.961521 0.274732i \(-0.0885892\pi\)
\(312\) −6.19475 + 0.790580i −0.350709 + 0.0447578i
\(313\) −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
\(315\) −11.3126 + 8.94345i −0.637393 + 0.503906i
\(316\) −3.68537 6.38325i −0.207318 0.359086i
\(317\) −11.7752 20.3952i −0.661360 1.14551i −0.980258 0.197721i \(-0.936646\pi\)
0.318898 0.947789i \(-0.396687\pi\)
\(318\) 0.958729 + 0.262950i 0.0537628 + 0.0147455i
\(319\) 1.71577i 0.0960646i
\(320\) 1.57344 0.908426i 0.0879580 0.0507826i
\(321\) 4.69382 + 17.9394i 0.261984 + 1.00128i
\(322\) 8.28509 21.5875i 0.461710 1.20303i
\(323\) −4.53132 + 7.84848i −0.252129 + 0.436701i
\(324\) 4.68229 7.68610i 0.260127 0.427006i
\(325\) 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
\(333\) −6.19780 11.0329i −0.339638 0.604600i
\(334\) 20.2949 + 11.7173i 1.11049 + 0.641141i
\(335\) −4.68306 + 8.11130i −0.255863 + 0.443168i
\(336\) −4.55461 0.505542i −0.248474 0.0275796i
\(337\) 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
\(339\) −20.5461 + 20.3056i −1.11591 + 1.10285i
\(340\) 8.94843 5.16638i 0.485297 0.280186i
\(341\) 16.3076 0.883108
\(342\) −0.0562900 + 4.78024i −0.00304382 + 0.258486i
\(343\) −8.41119 16.5001i −0.454161 0.890919i
\(344\) 0.836012 + 1.44802i 0.0450747 + 0.0780717i
\(345\) 19.3324 + 19.5613i 1.04082 + 1.05315i
\(346\) 3.80295 6.58691i 0.204448 0.354114i
\(347\) 23.0701i 1.23847i 0.785207 + 0.619233i \(0.212556\pi\)
−0.785207 + 0.619233i \(0.787444\pi\)
\(348\) 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
\(351\) −15.0411 + 11.1698i −0.802837 + 0.596199i
\(352\) −1.02563 1.77645i −0.0546665 0.0946851i
\(353\) 27.6603 15.9697i 1.47221 0.849981i 0.472699 0.881224i \(-0.343280\pi\)
0.999512 + 0.0312428i \(0.00994650\pi\)
\(354\) −0.960817 3.67216i −0.0510669 0.195173i
\(355\) 13.3507 + 7.70801i 0.708579 + 0.409098i
\(356\) 3.86314i 0.204746i
\(357\) −25.9028 2.87511i −1.37092 0.152167i
\(358\) −15.9356 + 9.20041i −0.842222 + 0.486257i
\(359\) −12.2496 21.2169i −0.646509 1.11979i −0.983951 0.178440i \(-0.942895\pi\)
0.337442 0.941346i \(-0.390438\pi\)
\(360\) 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
\(369\) 1.37578 + 0.0162005i 0.0716200 + 0.000843366i
\(370\) −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
\(375\) 5.33621 + 20.3946i 0.275561 + 1.05317i
\(376\) −1.94760 + 1.12445i −0.100440 + 0.0579888i
\(377\) −2.39615 1.83132i −0.123408 0.0943179i
\(378\) −12.6556 + 5.36983i −0.650935 + 0.276194i
\(379\) −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 0.404743 0.914430i \(-0.367361\pi\)
−0.589549 + 0.807733i \(0.700694\pi\)
\(384\) 1.67564 0.438430i 0.0855098 0.0223735i
\(385\) 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 0.406580 0.913615i \(-0.366721\pi\)
−0.587924 + 0.808916i \(0.700054\pi\)
\(390\) −9.02890 + 6.87141i −0.457196 + 0.347947i
\(391\) 49.7036i 2.51362i
\(392\) 5.20261 + 4.68325i 0.262772 + 0.236540i
\(393\) −18.1346 18.3494i −0.914772 0.925607i
\(394\) −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
\(399\) 4.32660 5.88270i 0.216601 0.294503i
\(400\) −0.849523 + 1.47142i −0.0424761 + 0.0735708i
\(401\) 15.4809 0.773080 0.386540 0.922273i \(-0.373670\pi\)
0.386540 + 0.922273i \(0.373670\pi\)
\(402\) −6.35079 + 6.27645i −0.316749 + 0.313041i
\(403\) 17.4059 22.7744i 0.867051 1.13447i
\(404\) −4.84811 8.39717i −0.241202 0.417775i
\(405\) 0.385047 16.3471i 0.0191331 0.812296i
\(406\) −1.39281 1.71975i −0.0691240 0.0853498i
\(407\) −7.49340 + 4.32632i −0.371434 + 0.214448i
\(408\) 9.52967 2.49343i 0.471789 0.123443i
\(409\) −39.7884 −1.96741 −0.983706 0.179784i \(-0.942460\pi\)
−0.983706 + 0.179784i \(0.942460\pi\)
\(410\) 0.833252 0.0411514
\(411\) −19.4447 + 5.08768i −0.959136 + 0.250957i
\(412\) 8.08628 4.66861i 0.398382 0.230006i
\(413\) −2.07753 + 5.41317i −0.102228 + 0.266365i
\(414\) 12.8411 + 22.8589i 0.631107 + 1.12345i
\(415\) −13.6880 23.7083i −0.671918 1.16380i
\(416\) −3.57560 0.463745i −0.175308 0.0227370i
\(417\) 19.4253 19.1979i 0.951263 0.940127i
\(418\) 3.26874 0.159879
\(419\) 13.1146 22.7152i 0.640690 1.10971i −0.344589 0.938754i \(-0.611982\pi\)
0.985279 0.170954i \(-0.0546850\pi\)
\(420\) −7.62565 + 3.34208i −0.372094 + 0.163077i
\(421\) 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
\(426\) 10.3306 + 10.4530i 0.500520 + 0.506448i
\(427\) 11.4864 + 14.1827i 0.555868 + 0.686350i
\(428\) 10.7060i 0.517493i
\(429\) 7.75798 + 10.1938i 0.374559 + 0.492162i
\(430\) 2.63083 + 1.51891i 0.126870 + 0.0732484i
\(431\) 8.06272 + 13.9650i 0.388368 + 0.672673i 0.992230 0.124416i \(-0.0397057\pi\)
−0.603862 + 0.797089i \(0.706372\pi\)
\(432\) 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
\(435\) 2.54647 0.666280i 0.122094 0.0319457i
\(436\) −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
\(441\) 20.4889 + 4.60509i 0.975660 + 0.219290i
\(442\) −20.3351 2.63740i −0.967241 0.125448i
\(443\) −10.8594 + 6.26970i −0.515948 + 0.297883i −0.735275 0.677769i \(-0.762947\pi\)
0.219327 + 0.975651i \(0.429614\pi\)
\(444\) −1.84938 7.06818i −0.0877677 0.335441i
\(445\) 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 0.593426 0.804888i \(-0.297775\pi\)
−0.993767 + 0.111478i \(0.964442\pi\)
\(450\) −0.0600175 + 5.09678i −0.00282925 + 0.240265i
\(451\) 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 −0.999368 0.0355490i \(-0.988682\pi\)
−0.468898 + 0.883253i \(0.655349\pi\)
\(462\) 3.77329 + 8.60953i 0.175549 + 0.400551i
\(463\) 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
\(465\) 6.33270 + 24.2030i 0.293672 + 1.12239i
\(466\) 18.2307 10.5255i 0.844522 0.487585i
\(467\) 15.1928 + 26.3147i 0.703039 + 1.21770i 0.967394 + 0.253274i \(0.0815075\pi\)
−0.264355 + 0.964425i \(0.585159\pi\)
\(468\) −10.0336 + 4.04070i −0.463803 + 0.186781i
\(469\) 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
\(474\) −8.97398 9.08027i −0.412188 0.417071i
\(475\) −1.35373 2.34474i −0.0621136 0.107584i
\(476\) −14.0478 5.39141i −0.643879 0.247115i
\(477\) 1.72177 + 0.0202748i 0.0788345 + 0.000928322i
\(478\) 16.6885 0.763316
\(479\) −19.9492 + 11.5177i −0.911504 + 0.526257i −0.880915 0.473275i \(-0.843072\pi\)
−0.0305891 + 0.999532i \(0.509738\pi\)
\(480\) 2.23824 2.21204i 0.102161 0.100965i
\(481\) −1.95617 + 15.0826i −0.0891935 + 0.687706i
\(482\) 15.2747 0.695741
\(483\) 4.41824 39.8054i 0.201037 1.81121i
\(484\) 3.39615 5.88231i 0.154370 0.267378i
\(485\) −5.42553 3.13243i −0.246361 0.142236i
\(486\) 4.47603 14.9320i 0.203037 0.677330i
\(487\) 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 0.554717 0.832039i \(-0.312827\pi\)
−0.443209 + 0.896418i \(0.646160\pi\)
\(492\) 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
\(495\) −11.1798 0.131648i −0.502494 0.00591715i
\(496\) −3.97501 + 6.88493i −0.178483 + 0.309142i
\(497\) −3.51325 22.1726i −0.157591 0.994578i
\(498\) −6.60619 25.2483i −0.296030 1.13140i
\(499\) −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 0.968848 0.247655i \(-0.0796599\pi\)
−0.698900 + 0.715220i \(0.746327\pi\)
\(504\) −7.85354 + 1.14977i −0.349824 + 0.0512147i
\(505\) −15.2564 8.80830i −0.678902 0.391964i
\(506\) 15.5255 8.96363i 0.690191 0.398482i
\(507\) 22.5166 + 0.0459880i 0.999998 + 0.00204240i
\(508\) −10.6930 + 18.5208i −0.474426 + 0.821730i
\(509\) 36.9477i 1.63768i 0.574023 + 0.818839i \(0.305382\pi\)
−0.574023 + 0.818839i \(0.694618\pi\)
\(510\) 12.7293 12.5803i 0.563662 0.557064i
\(511\) −21.0435 + 17.0430i −0.930912 + 0.753936i
\(512\) 1.00000 0.0441942
\(513\) 2.00148 + 8.03465i 0.0883674 + 0.354739i
\(514\) 1.53233 0.0675883
\(515\) 8.48219 14.6916i 0.373770 0.647388i
\(516\) 2.03571 + 2.05982i 0.0896172 + 0.0906787i
\(517\) 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 −0.993183 0.116569i \(-0.962810\pi\)
0.597543 + 0.801837i \(0.296144\pi\)
\(522\) 2.50916 + 0.0295467i 0.109823 + 0.00129323i
\(523\) 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
\(525\) 4.61310 6.27225i 0.201332 0.273744i
\(526\) 16.9520 9.78724i 0.739142 0.426744i
\(527\) −22.6066 + 39.1558i −0.984759 + 1.70565i
\(528\) −2.49744 2.52703i −0.108687 0.109975i
\(529\) −53.3806 −2.32089
\(530\) 1.04281 0.0452967
\(531\) −3.21997 5.73198i −0.139735 0.248747i
\(532\) 3.27633 2.65347i 0.142047 0.115042i
\(533\) −1.31381 1.00412i −0.0569076 0.0434932i
\(534\) 1.69372 + 6.47324i 0.0732943 + 0.280125i
\(535\) 9.72559 + 16.8452i 0.420474 + 0.728283i
\(536\) −4.46448 + 2.57757i −0.192836 + 0.111334i
\(537\) −22.6686 + 22.4032i −0.978223 + 0.966771i
\(538\) 13.5580 0.584527
\(539\) 2.98358 14.0455i 0.128512 0.604982i
\(540\) 2.60409 9.07439i 0.112062 0.390499i
\(541\) −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
\(543\) 0.0836693 + 0.319777i 0.00359059 + 0.0137229i
\(544\) 5.68717 0.243836
\(545\) −9.02906 −0.386762
\(546\) 16.0510 + 3.91980i 0.686920 + 0.167752i
\(547\) 9.83208 0.420389 0.210195 0.977660i \(-0.432590\pi\)
0.210195 + 0.977660i \(0.432590\pi\)
\(548\) −11.6043 −0.495712
\(549\) −20.6929 0.243671i −0.883152 0.0103996i
\(550\) 3.48520 0.148609
\(551\) −1.15432 + 0.666446i −0.0491756 + 0.0283916i
\(552\) 3.83170 + 14.6444i 0.163088 + 0.623309i
\(553\) 3.05188 + 19.2609i 0.129779 + 0.819055i
\(554\) 23.3285 0.991131
\(555\) −9.33081 9.44133i −0.396071 0.400762i
\(556\) 13.6556 7.88408i 0.579127 0.334359i
\(557\) 2.73252 + 4.73287i 0.115781 + 0.200538i 0.918092 0.396368i \(-0.129730\pi\)
−0.802311 + 0.596906i \(0.796396\pi\)
\(558\) −0.280829 + 23.8484i −0.0118884 + 1.00958i
\(559\) −2.31774 5.56522i −0.0980298 0.235384i
\(560\) −4.74771 + 0.752275i −0.200627 + 0.0317894i
\(561\) −14.2034 14.3716i −0.599668 0.606771i
\(562\) 26.6302 1.12333
\(563\) 25.5357 1.07620 0.538101 0.842880i \(-0.319142\pi\)
0.538101 + 0.842880i \(0.319142\pi\)
\(564\) −2.77049 + 2.73805i −0.116658 + 0.115293i
\(565\) −15.1507 + 26.2417i −0.637394 + 1.10400i
\(566\) −23.3128 + 13.4597i −0.979910 + 0.565752i
\(567\) −18.8520 + 14.5465i −0.791711 + 0.610896i
\(568\) 4.24250 + 7.34823i 0.178012 + 0.308325i
\(569\) 16.5159i 0.692384i 0.938164 + 0.346192i \(0.112525\pi\)
−0.938164 + 0.346192i \(0.887475\pi\)
\(570\) 1.26934 + 4.85132i 0.0531669 + 0.203199i
\(571\) −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
\(576\) 2.61556 1.46930i 0.108982 0.0612210i
\(577\) −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
\(579\) 13.5661 13.4073i 0.563787 0.557188i
\(580\) 1.51969 0.0631019
\(581\) −14.2842 + 37.2188i −0.592609 + 1.54409i
\(582\) −4.19822 4.24795i −0.174022 0.176083i
\(583\) 1.17735i 0.0487610i
\(584\) 5.11752 8.86381i 0.211765 0.366787i
\(585\) −12.1166 + 15.4726i −0.500959 + 0.639712i
\(586\) 6.97220 4.02540i 0.288019 0.166288i
\(587\) −5.89064 3.40096i −0.243133 0.140373i 0.373483 0.927637i \(-0.378163\pi\)
−0.616616 + 0.787264i \(0.711497\pi\)
\(588\) 10.7710 + 5.56647i 0.444188 + 0.229557i
\(589\) −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 −0.619299 0.785155i \(-0.712583\pi\)
0.370315 + 0.928906i \(0.379250\pi\)
\(594\) −10.2452 2.94008i −0.420365 0.120633i
\(595\) −27.0011 + 4.27832i −1.10694 + 0.175394i
\(596\) 2.40740 4.16974i 0.0986111 0.170799i
\(597\) −8.37163 31.9957i −0.342628 1.30950i
\(598\) 4.05295 31.2493i 0.165737 1.27788i
\(599\) −36.0831 20.8326i −1.47432 0.851197i −0.474735 0.880129i \(-0.657456\pi\)
−0.999581 + 0.0289321i \(0.990789\pi\)
\(600\) −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
\(606\) −11.8053 11.9451i −0.479556 0.485237i
\(607\) −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
\(609\) −3.08784 2.27104i −0.125126 0.0920272i
\(610\) −12.5329 −0.507441
\(611\) 7.48529 3.11738i 0.302822 0.126116i
\(612\) 14.8751 8.35619i 0.601292 0.337779i
\(613\) 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
\(615\) 1.39623 0.365323i 0.0563015 0.0147312i
\(616\) 0.849335 + 5.36027i 0.0342207 + 0.215972i
\(617\) 22.6183 + 39.1761i 0.910579 + 1.57717i 0.813248 + 0.581917i \(0.197697\pi\)
0.0973311 + 0.995252i \(0.468969\pi\)
\(618\) 11.5029 11.3682i 0.462713 0.457296i
\(619\) 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
\(624\) −6.19475 + 0.790580i −0.247989 + 0.0316485i
\(625\) 6.80901 + 11.7935i 0.272360 + 0.471742i
\(626\) −7.41295 + 4.27987i −0.296281 + 0.171058i
\(627\) 5.47724 1.43311i 0.218740 0.0572331i
\(628\) 7.14347 + 4.12428i 0.285055 + 0.164577i
\(629\) 23.9896i 0.956527i
\(630\) −11.3126 + 8.94345i −0.450705 + 0.356316i
\(631\) 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 \(-0.907722\pi\)
0.958272 0.285857i \(-0.0922782\pi\)
\(642\) 4.69382 + 17.9394i 0.185250 + 0.708012i
\(643\) 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 \(-0.948264\pi\)
0.353271 0.935521i \(-0.385069\pi\)
\(648\) 4.68229 7.68610i 0.183938 0.301939i
\(649\) −3.89308 + 2.24767i −0.152817 + 0.0882288i
\(650\) 3.71992 4.86724i 0.145907 0.190909i
\(651\) 21.5852 29.3486i 0.845992 1.15026i
\(652\) −20.7420 11.9754i −0.812319 0.468992i
\(653\) 36.7354i 1.43757i 0.695234 + 0.718783i \(0.255301\pi\)
−0.695234 + 0.718783i \(0.744699\pi\)
\(654\) −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
\(657\) 0.361545 30.7030i 0.0141052 1.19784i
\(658\) 5.87669 0.931162i 0.229097 0.0363005i
\(659\) 39.7060 22.9243i 1.54673 0.893003i 0.548338 0.836257i \(-0.315261\pi\)
0.998389 0.0567462i \(-0.0180726\pi\)
\(660\) −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
\(663\) −35.2306 + 4.49617i −1.36824 + 0.174617i
\(664\) 15.0678i 0.584745i
\(665\) 2.74463 7.15138i 0.106432 0.277318i
\(666\) −6.19780 11.0329i −0.240160 0.427517i
\(667\) −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
\(672\) −4.55461 0.505542i −0.175698 0.0195017i
\(673\) −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
\(675\) 2.13401 + 8.56670i 0.0821383 + 0.329733i
\(676\) 12.5699 + 3.31634i 0.483457 + 0.127552i
\(677\) −0.275329 0.476883i −0.0105817 0.0183281i 0.860686 0.509136i \(-0.170035\pi\)
−0.871268 + 0.490808i \(0.836702\pi\)
\(678\) −20.5461 + 20.3056i −0.789069 + 0.779832i
\(679\) 1.42774 + 9.01065i 0.0547915 + 0.345797i
\(680\) 8.94843 5.16638i 0.343157 0.198122i
\(681\) −4.98606 19.0563i −0.191066 0.730239i
\(682\) 16.3076 0.624452
\(683\) −36.3756 −1.39188 −0.695938 0.718102i \(-0.745011\pi\)
−0.695938 + 0.718102i \(0.745011\pi\)
\(684\) −0.0562900 + 4.78024i −0.00215230 + 0.182777i
\(685\) −18.2587 + 10.5417i −0.697629 + 0.402776i
\(686\) −8.41119 16.5001i −0.321141 0.629975i
\(687\) −23.1076 23.3813i −0.881610 0.892053i
\(688\) 0.836012 + 1.44802i 0.0318727 + 0.0552051i
\(689\) −1.64423 1.25665i −0.0626401 0.0478744i
\(690\) 19.3324 + 19.5613i 0.735970 + 0.744688i
\(691\) 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
\(693\) 10.0974 + 12.7722i 0.383567 + 0.485175i
\(694\) 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
\(699\) 25.9335 25.6299i 0.980895 0.969412i
\(700\) 3.49329 2.82918i 0.132034 0.106933i
\(701\) 13.2279i 0.499612i −0.968296 0.249806i \(-0.919633\pi\)
0.968296 0.249806i \(-0.0803669\pi\)
\(702\) −15.0411 + 11.1698i −0.567691 + 0.421576i
\(703\) 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
\(708\) −0.960817 3.67216i −0.0361097 0.138008i
\(709\) 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
\(714\) −25.9028 2.87511i −0.969389 0.107598i
\(715\) 10.6763 + 8.15963i 0.399270 + 0.305153i
\(716\) −15.9356 + 9.20041i −0.595541 + 0.343836i
\(717\) 27.9640 7.31676i 1.04434 0.273249i
\(718\) −12.2496 21.2169i −0.457151 0.791808i
\(719\) −7.69041 + 13.3202i −0.286804 + 0.496759i −0.973045 0.230615i \(-0.925926\pi\)
0.686241 + 0.727374i \(0.259259\pi\)
\(720\) 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
\(723\) 25.5949 6.69687i 0.951883 0.249059i
\(724\) 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
\(735\) 22.0043 1.02615i 0.811639 0.0378500i
\(736\) 8.73960i 0.322146i
\(737\) 9.15784 + 5.28728i 0.337333 + 0.194760i
\(738\) 1.37578 + 0.0162005i 0.0506430 + 0.000596350i
\(739\) 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
\(741\) 3.84472 9.17886i 0.141239 0.337194i
\(742\) −0.955740 1.18009i −0.0350863 0.0433223i
\(743\) 9.17025 15.8833i 0.336424 0.582703i −0.647334 0.762207i \(-0.724116\pi\)
0.983757 + 0.179504i \(0.0574492\pi\)
\(744\) −3.64215 + 13.2794i −0.133528 + 0.486848i
\(745\) 8.74779i 0.320494i
\(746\) 2.06003 3.56807i 0.0754230 0.130636i
\(747\) −22.1392 39.4108i −0.810032 1.44196i
\(748\) −5.83296 10.1030i −0.213274 0.369401i
\(749\) 10.1492 26.4446i 0.370844 0.966266i
\(750\) 5.33621 + 20.3946i 0.194851 + 0.744704i
\(751\) −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
\(753\) 11.9797 + 12.1216i 0.436565 + 0.441736i
\(754\) −2.39615 1.83132i −0.0872627 0.0666929i
\(755\) −2.59238 −0.0943465
\(756\) −12.6556 + 5.36983i −0.460281 + 0.195299i
\(757\) 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
\(759\) 22.0852 21.8267i 0.801642 0.792258i
\(760\) 2.89520i 0.105020i
\(761\) −27.9822 16.1555i −1.01435 0.585638i −0.101891 0.994796i \(-0.532489\pi\)
−0.912464 + 0.409157i \(0.865823\pi\)
\(762\) −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
\(768\) 1.67564 0.438430i 0.0604646 0.0158205i
\(769\) 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
\(771\) 2.56764 0.671821i 0.0924714 0.0241950i
\(772\) 9.53669 5.50601i 0.343233 0.198166i
\(773\) 12.5201i 0.450318i 0.974322 + 0.225159i \(0.0722901\pi\)
−0.974322 + 0.225159i \(0.927710\pi\)
\(774\)