Properties

Label 731.2.p.a.16.20
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.20
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.332663 - 1.45749i) q^{2} +(2.23027 + 0.509045i) q^{3} +(-0.211677 + 0.101938i) q^{4} +(3.41321 - 2.72194i) q^{5} -3.41994i q^{6} +3.16066i q^{7} +(-1.64521 - 2.06303i) q^{8} +(2.01209 + 0.968970i) q^{9} +O(q^{10})\) \(q+(-0.332663 - 1.45749i) q^{2} +(2.23027 + 0.509045i) q^{3} +(-0.211677 + 0.101938i) q^{4} +(3.41321 - 2.72194i) q^{5} -3.41994i q^{6} +3.16066i q^{7} +(-1.64521 - 2.06303i) q^{8} +(2.01209 + 0.968970i) q^{9} +(-5.10265 - 4.06923i) q^{10} +(1.29978 - 2.69901i) q^{11} +(-0.523990 + 0.119597i) q^{12} +(1.50839 + 1.89146i) q^{13} +(4.60663 - 1.05143i) q^{14} +(8.99798 - 4.33320i) q^{15} +(-2.75251 + 3.45154i) q^{16} +(-3.59369 + 2.02124i) q^{17} +(0.742919 - 3.25494i) q^{18} +(-3.69742 + 1.78059i) q^{19} +(-0.445028 + 0.924111i) q^{20} +(-1.60892 + 7.04913i) q^{21} +(-4.36617 - 0.996550i) q^{22} +(-2.53196 + 5.25766i) q^{23} +(-2.61909 - 5.43860i) q^{24} +(3.12842 - 13.7065i) q^{25} +(2.25500 - 2.82768i) q^{26} +(-1.37137 - 1.09363i) q^{27} +(-0.322192 - 0.669039i) q^{28} +(3.59622 - 0.820814i) q^{29} +(-9.30889 - 11.6730i) q^{30} +(-7.49087 + 1.70974i) q^{31} +(1.19146 + 0.573777i) q^{32} +(4.27277 - 5.35789i) q^{33} +(4.14142 + 4.56538i) q^{34} +(8.60313 + 10.7880i) q^{35} -0.524689 q^{36} +10.7006i q^{37} +(3.82518 + 4.79663i) q^{38} +(2.40128 + 4.98631i) q^{39} +(-11.2309 - 2.56338i) q^{40} +(1.41945 - 0.323980i) q^{41} +10.8093 q^{42} +(2.40268 + 6.10140i) q^{43} +0.703817i q^{44} +(9.50515 - 2.16949i) q^{45} +(8.50529 + 1.94128i) q^{46} +(9.11023 - 4.38726i) q^{47} +(-7.89585 + 6.29673i) q^{48} -2.98975 q^{49} -21.0178 q^{50} +(-9.04381 + 2.67856i) q^{51} +(-0.512104 - 0.246616i) q^{52} +(0.174371 - 0.218654i) q^{53} +(-1.13775 + 2.36256i) q^{54} +(-2.91015 - 12.7502i) q^{55} +(6.52052 - 5.19994i) q^{56} +(-9.15267 + 2.08904i) q^{57} +(-2.39266 - 4.96841i) q^{58} +(-1.28986 + 1.61743i) q^{59} +(-1.46295 + 1.83448i) q^{60} +(-13.2312 - 3.01993i) q^{61} +(4.98387 + 10.3491i) q^{62} +(-3.06258 + 6.35952i) q^{63} +(-1.52480 + 6.68059i) q^{64} +(10.2969 + 2.35020i) q^{65} +(-9.23047 - 4.44516i) q^{66} +(-1.16414 + 0.560619i) q^{67} +(0.554661 - 0.794185i) q^{68} +(-8.32335 + 10.4372i) q^{69} +(12.8614 - 16.1277i) q^{70} +(-4.49783 - 9.33985i) q^{71} +(-1.31129 - 5.74515i) q^{72} +(9.86020 - 7.86324i) q^{73} +(15.5960 - 3.55968i) q^{74} +(13.9544 - 28.9767i) q^{75} +(0.601151 - 0.753819i) q^{76} +(8.53065 + 4.10814i) q^{77} +(6.46868 - 5.15860i) q^{78} -2.35068i q^{79} +19.2730i q^{80} +(-6.67904 - 8.37525i) q^{81} +(-0.944395 - 1.96106i) q^{82} +(-0.329386 + 1.44313i) q^{83} +(-0.378006 - 1.65615i) q^{84} +(-6.76432 + 16.6807i) q^{85} +(8.09346 - 5.53160i) q^{86} +8.43839 q^{87} +(-7.70653 + 1.75897i) q^{88} +(1.62785 - 7.13209i) q^{89} +(-6.32402 - 13.1320i) q^{90} +(-5.97825 + 4.76749i) q^{91} -1.37103i q^{92} -17.5770 q^{93} +(-9.42502 - 11.8186i) q^{94} +(-7.77343 + 16.1417i) q^{95} +(2.36520 + 1.88619i) q^{96} +(6.95689 - 14.4461i) q^{97} +(0.994579 + 4.35753i) q^{98} +(5.23052 - 4.17120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.332663 1.45749i −0.235228 1.03060i −0.945231 0.326403i \(-0.894163\pi\)
0.710003 0.704199i \(-0.248694\pi\)
\(3\) 2.23027 + 0.509045i 1.28765 + 0.293898i 0.810922 0.585154i \(-0.198966\pi\)
0.476727 + 0.879051i \(0.341823\pi\)
\(4\) −0.211677 + 0.101938i −0.105839 + 0.0509692i
\(5\) 3.41321 2.72194i 1.52643 1.21729i 0.627973 0.778235i \(-0.283885\pi\)
0.898460 0.439055i \(-0.144687\pi\)
\(6\) 3.41994i 1.39619i
\(7\) 3.16066i 1.19462i 0.802012 + 0.597308i \(0.203763\pi\)
−0.802012 + 0.597308i \(0.796237\pi\)
\(8\) −1.64521 2.06303i −0.581669 0.729390i
\(9\) 2.01209 + 0.968970i 0.670696 + 0.322990i
\(10\) −5.10265 4.06923i −1.61360 1.28680i
\(11\) 1.29978 2.69901i 0.391897 0.813782i −0.607908 0.794008i \(-0.707991\pi\)
0.999804 0.0197746i \(-0.00629485\pi\)
\(12\) −0.523990 + 0.119597i −0.151263 + 0.0345248i
\(13\) 1.50839 + 1.89146i 0.418351 + 0.524596i 0.945695 0.325056i \(-0.105383\pi\)
−0.527343 + 0.849652i \(0.676812\pi\)
\(14\) 4.60663 1.05143i 1.23117 0.281007i
\(15\) 8.99798 4.33320i 2.32327 1.11883i
\(16\) −2.75251 + 3.45154i −0.688128 + 0.862886i
\(17\) −3.59369 + 2.02124i −0.871598 + 0.490222i
\(18\) 0.742919 3.25494i 0.175108 0.767196i
\(19\) −3.69742 + 1.78059i −0.848247 + 0.408494i −0.806927 0.590652i \(-0.798871\pi\)
−0.0413206 + 0.999146i \(0.513157\pi\)
\(20\) −0.445028 + 0.924111i −0.0995114 + 0.206638i
\(21\) −1.60892 + 7.04913i −0.351095 + 1.53825i
\(22\) −4.36617 0.996550i −0.930871 0.212465i
\(23\) −2.53196 + 5.25766i −0.527950 + 1.09630i 0.451062 + 0.892493i \(0.351045\pi\)
−0.979011 + 0.203806i \(0.934669\pi\)
\(24\) −2.61909 5.43860i −0.534620 1.11015i
\(25\) 3.12842 13.7065i 0.625683 2.74130i
\(26\) 2.25500 2.82768i 0.442241 0.554553i
\(27\) −1.37137 1.09363i −0.263920 0.210469i
\(28\) −0.322192 0.669039i −0.0608886 0.126437i
\(29\) 3.59622 0.820814i 0.667802 0.152421i 0.124837 0.992177i \(-0.460159\pi\)
0.542964 + 0.839756i \(0.317302\pi\)
\(30\) −9.30889 11.6730i −1.69956 2.13119i
\(31\) −7.49087 + 1.70974i −1.34540 + 0.307079i −0.833763 0.552123i \(-0.813818\pi\)
−0.511637 + 0.859202i \(0.670961\pi\)
\(32\) 1.19146 + 0.573777i 0.210622 + 0.101430i
\(33\) 4.27277 5.35789i 0.743794 0.932689i
\(34\) 4.14142 + 4.56538i 0.710248 + 0.782956i
\(35\) 8.60313 + 10.7880i 1.45419 + 1.82350i
\(36\) −0.524689 −0.0874481
\(37\) 10.7006i 1.75916i 0.475747 + 0.879582i \(0.342178\pi\)
−0.475747 + 0.879582i \(0.657822\pi\)
\(38\) 3.82518 + 4.79663i 0.620527 + 0.778116i
\(39\) 2.40128 + 4.98631i 0.384512 + 0.798448i
\(40\) −11.2309 2.56338i −1.77576 0.405305i
\(41\) 1.41945 0.323980i 0.221681 0.0505971i −0.110238 0.993905i \(-0.535161\pi\)
0.331918 + 0.943308i \(0.392304\pi\)
\(42\) 10.8093 1.66791
\(43\) 2.40268 + 6.10140i 0.366405 + 0.930455i
\(44\) 0.703817i 0.106104i
\(45\) 9.50515 2.16949i 1.41694 0.323408i
\(46\) 8.50529 + 1.94128i 1.25404 + 0.286226i
\(47\) 9.11023 4.38726i 1.32886 0.639947i 0.371393 0.928476i \(-0.378880\pi\)
0.957471 + 0.288529i \(0.0931661\pi\)
\(48\) −7.89585 + 6.29673i −1.13967 + 0.908855i
\(49\) −2.98975 −0.427107
\(50\) −21.0178 −2.97236
\(51\) −9.04381 + 2.67856i −1.26639 + 0.375074i
\(52\) −0.512104 0.246616i −0.0710160 0.0341995i
\(53\) 0.174371 0.218654i 0.0239517 0.0300345i −0.769711 0.638392i \(-0.779600\pi\)
0.793663 + 0.608358i \(0.208171\pi\)
\(54\) −1.13775 + 2.36256i −0.154828 + 0.321504i
\(55\) −2.91015 12.7502i −0.392405 1.71924i
\(56\) 6.52052 5.19994i 0.871341 0.694871i
\(57\) −9.15267 + 2.08904i −1.21230 + 0.276700i
\(58\) −2.39266 4.96841i −0.314171 0.652384i
\(59\) −1.28986 + 1.61743i −0.167925 + 0.210572i −0.858672 0.512525i \(-0.828710\pi\)
0.690747 + 0.723096i \(0.257282\pi\)
\(60\) −1.46295 + 1.83448i −0.188866 + 0.236830i
\(61\) −13.2312 3.01993i −1.69408 0.386662i −0.736863 0.676042i \(-0.763694\pi\)
−0.957214 + 0.289380i \(0.906551\pi\)
\(62\) 4.98387 + 10.3491i 0.632952 + 1.31434i
\(63\) −3.06258 + 6.35952i −0.385849 + 0.801224i
\(64\) −1.52480 + 6.68059i −0.190600 + 0.835074i
\(65\) 10.2969 + 2.35020i 1.27717 + 0.291506i
\(66\) −9.23047 4.44516i −1.13619 0.547161i
\(67\) −1.16414 + 0.560619i −0.142222 + 0.0684905i −0.503641 0.863913i \(-0.668007\pi\)
0.361419 + 0.932403i \(0.382292\pi\)
\(68\) 0.554661 0.794185i 0.0672625 0.0963091i
\(69\) −8.32335 + 10.4372i −1.00201 + 1.25649i
\(70\) 12.8614 16.1277i 1.53724 1.92763i
\(71\) −4.49783 9.33985i −0.533795 1.10844i −0.977240 0.212135i \(-0.931958\pi\)
0.443446 0.896301i \(-0.353756\pi\)
\(72\) −1.31129 5.74515i −0.154537 0.677072i
\(73\) 9.86020 7.86324i 1.15405 0.920323i 0.156322 0.987706i \(-0.450036\pi\)
0.997727 + 0.0673831i \(0.0214650\pi\)
\(74\) 15.5960 3.55968i 1.81300 0.413805i
\(75\) 13.9544 28.9767i 1.61132 3.34594i
\(76\) 0.601151 0.753819i 0.0689567 0.0864690i
\(77\) 8.53065 + 4.10814i 0.972157 + 0.468166i
\(78\) 6.46868 5.15860i 0.732434 0.584096i
\(79\) 2.35068i 0.264472i −0.991218 0.132236i \(-0.957784\pi\)
0.991218 0.132236i \(-0.0422156\pi\)
\(80\) 19.2730i 2.15479i
\(81\) −6.67904 8.37525i −0.742115 0.930583i
\(82\) −0.944395 1.96106i −0.104291 0.216562i
\(83\) −0.329386 + 1.44313i −0.0361548 + 0.158404i −0.989783 0.142583i \(-0.954459\pi\)
0.953628 + 0.300988i \(0.0973163\pi\)
\(84\) −0.378006 1.65615i −0.0412438 0.180701i
\(85\) −6.76432 + 16.6807i −0.733693 + 1.80928i
\(86\) 8.09346 5.53160i 0.872740 0.596487i
\(87\) 8.43839 0.904690
\(88\) −7.70653 + 1.75897i −0.821519 + 0.187506i
\(89\) 1.62785 7.13209i 0.172552 0.756000i −0.812390 0.583115i \(-0.801834\pi\)
0.984942 0.172885i \(-0.0553090\pi\)
\(90\) −6.32402 13.1320i −0.666610 1.38423i
\(91\) −5.97825 + 4.76749i −0.626691 + 0.499769i
\(92\) 1.37103i 0.142940i
\(93\) −17.5770 −1.82265
\(94\) −9.42502 11.8186i −0.972117 1.21900i
\(95\) −7.77343 + 16.1417i −0.797537 + 1.65610i
\(96\) 2.36520 + 1.88619i 0.241397 + 0.192508i
\(97\) 6.95689 14.4461i 0.706366 1.46678i −0.170154 0.985417i \(-0.554427\pi\)
0.876520 0.481366i \(-0.159859\pi\)
\(98\) 0.994579 + 4.35753i 0.100468 + 0.440177i
\(99\) 5.23052 4.17120i 0.525687 0.419222i
\(100\) 0.735003 + 3.22026i 0.0735003 + 0.322026i
\(101\) −5.51945 + 2.65803i −0.549206 + 0.264484i −0.687843 0.725860i \(-0.741442\pi\)
0.138637 + 0.990343i \(0.455728\pi\)
\(102\) 6.91252 + 12.2902i 0.684441 + 1.21691i
\(103\) 3.88396 4.87033i 0.382698 0.479888i −0.552753 0.833345i \(-0.686423\pi\)
0.935451 + 0.353457i \(0.114994\pi\)
\(104\) 1.42052 6.22369i 0.139293 0.610283i
\(105\) 13.6958 + 28.4395i 1.33657 + 2.77541i
\(106\) −0.376693 0.181406i −0.0365877 0.0176197i
\(107\) −14.0776 3.21313i −1.36094 0.310625i −0.521115 0.853487i \(-0.674484\pi\)
−0.839822 + 0.542862i \(0.817341\pi\)
\(108\) 0.401770 + 0.0917014i 0.0386604 + 0.00882397i
\(109\) 0.912681 1.89520i 0.0874190 0.181527i −0.852676 0.522440i \(-0.825022\pi\)
0.940095 + 0.340913i \(0.110736\pi\)
\(110\) −17.6152 + 8.48304i −1.67954 + 0.808826i
\(111\) −5.44708 + 23.8652i −0.517014 + 2.26519i
\(112\) −10.9091 8.69975i −1.03082 0.822049i
\(113\) −5.23254 4.17281i −0.492236 0.392545i 0.345673 0.938355i \(-0.387651\pi\)
−0.837909 + 0.545810i \(0.816222\pi\)
\(114\) 6.08950 + 12.6450i 0.570334 + 1.18431i
\(115\) 5.66896 + 24.8374i 0.528634 + 2.31610i
\(116\) −0.677566 + 0.540341i −0.0629104 + 0.0501694i
\(117\) 1.20224 + 5.26736i 0.111147 + 0.486968i
\(118\) 2.78648 + 1.34190i 0.256516 + 0.123532i
\(119\) −6.38844 11.3584i −0.585627 1.04122i
\(120\) −23.7431 11.4341i −2.16744 1.04378i
\(121\) 1.26314 + 1.58393i 0.114831 + 0.143994i
\(122\) 20.2889i 1.83687i
\(123\) 3.33068 0.300317
\(124\) 1.41136 1.12552i 0.126744 0.101075i
\(125\) −17.1594 35.6318i −1.53478 3.18701i
\(126\) 10.2877 + 2.34811i 0.916505 + 0.209186i
\(127\) 2.20589 + 9.66462i 0.195741 + 0.857596i 0.973437 + 0.228956i \(0.0735311\pi\)
−0.777696 + 0.628640i \(0.783612\pi\)
\(128\) 12.8890 1.13924
\(129\) 2.25275 + 14.8309i 0.198343 + 1.30579i
\(130\) 15.7894i 1.38482i
\(131\) 10.9042 2.48881i 0.952704 0.217449i 0.282201 0.959355i \(-0.408935\pi\)
0.670503 + 0.741907i \(0.266078\pi\)
\(132\) −0.358275 + 1.56970i −0.0311838 + 0.136625i
\(133\) −5.62782 11.6863i −0.487994 1.01333i
\(134\) 1.20436 + 1.51022i 0.104041 + 0.130463i
\(135\) −7.65756 −0.659058
\(136\) 10.0822 + 4.08852i 0.864545 + 0.350588i
\(137\) 5.85908 + 7.34706i 0.500575 + 0.627701i 0.966359 0.257197i \(-0.0827990\pi\)
−0.465784 + 0.884899i \(0.654228\pi\)
\(138\) 17.9809 + 8.65915i 1.53064 + 0.737116i
\(139\) 5.11654 + 4.08031i 0.433979 + 0.346087i 0.815985 0.578073i \(-0.196195\pi\)
−0.382006 + 0.924160i \(0.624767\pi\)
\(140\) −2.92080 1.40658i −0.246852 0.118878i
\(141\) 22.5516 5.14726i 1.89919 0.433478i
\(142\) −12.1165 + 9.66257i −1.01679 + 0.810865i
\(143\) 7.06563 1.61268i 0.590858 0.134859i
\(144\) −8.88274 + 4.27770i −0.740228 + 0.356475i
\(145\) 10.0404 12.5903i 0.833814 1.04557i
\(146\) −14.7407 11.7553i −1.21995 0.972879i
\(147\) −6.66796 1.52192i −0.549964 0.125526i
\(148\) −1.09080 2.26507i −0.0896633 0.186188i
\(149\) 4.63627 + 2.23271i 0.379818 + 0.182911i 0.614045 0.789271i \(-0.289541\pi\)
−0.234227 + 0.972182i \(0.575256\pi\)
\(150\) −46.8754 10.6990i −3.82736 0.873570i
\(151\) −3.47693 + 15.2334i −0.282948 + 1.23968i 0.611044 + 0.791597i \(0.290750\pi\)
−0.893993 + 0.448082i \(0.852107\pi\)
\(152\) 9.75643 + 4.69845i 0.791351 + 0.381095i
\(153\) −9.18933 + 0.584729i −0.742914 + 0.0472725i
\(154\) 3.14975 13.8000i 0.253814 1.11203i
\(155\) −20.9141 + 26.2254i −1.67986 + 2.10648i
\(156\) −1.01659 0.810706i −0.0813925 0.0649084i
\(157\) 14.0312 6.75707i 1.11981 0.539273i 0.219977 0.975505i \(-0.429402\pi\)
0.899834 + 0.436232i \(0.143687\pi\)
\(158\) −3.42609 + 0.781983i −0.272565 + 0.0622112i
\(159\) 0.500200 0.398896i 0.0396684 0.0316345i
\(160\) 5.62849 1.28467i 0.444971 0.101562i
\(161\) −16.6177 8.00265i −1.30966 0.630697i
\(162\) −9.98498 + 12.5208i −0.784494 + 0.983725i
\(163\) 0.113206 0.235074i 0.00886697 0.0184124i −0.896488 0.443067i \(-0.853890\pi\)
0.905355 + 0.424655i \(0.139605\pi\)
\(164\) −0.267439 + 0.213276i −0.0208835 + 0.0166540i
\(165\) 29.9178i 2.32910i
\(166\) 2.21293 0.171757
\(167\) −16.8223 + 13.4154i −1.30175 + 1.03811i −0.305448 + 0.952209i \(0.598806\pi\)
−0.996303 + 0.0859035i \(0.972622\pi\)
\(168\) 17.1896 8.27805i 1.32620 0.638666i
\(169\) 1.59039 6.96796i 0.122338 0.535997i
\(170\) 26.5622 + 4.30988i 2.03723 + 0.330552i
\(171\) −9.16487 −0.700855
\(172\) −1.13056 1.04660i −0.0862045 0.0798028i
\(173\) 2.23320i 0.169787i 0.996390 + 0.0848936i \(0.0270550\pi\)
−0.996390 + 0.0848936i \(0.972945\pi\)
\(174\) −2.80714 12.2989i −0.212809 0.932375i
\(175\) 43.3215 + 9.88785i 3.27480 + 0.747451i
\(176\) 5.73810 + 11.9153i 0.432526 + 0.898149i
\(177\) −3.70008 + 2.95072i −0.278115 + 0.221790i
\(178\) −10.9365 −0.819724
\(179\) 4.77515 0.356912 0.178456 0.983948i \(-0.442890\pi\)
0.178456 + 0.983948i \(0.442890\pi\)
\(180\) −1.79087 + 1.42817i −0.133484 + 0.106450i
\(181\) 0.764801 1.58813i 0.0568472 0.118044i −0.870610 0.491974i \(-0.836276\pi\)
0.927457 + 0.373930i \(0.121990\pi\)
\(182\) 8.93732 + 7.12727i 0.662478 + 0.528309i
\(183\) −27.9718 13.4705i −2.06774 0.995770i
\(184\) 15.0123 3.42646i 1.10672 0.252602i
\(185\) 29.1264 + 36.5233i 2.14141 + 2.68525i
\(186\) 5.84722 + 25.6184i 0.428739 + 1.87843i
\(187\) 0.784354 + 12.3266i 0.0573577 + 0.901407i
\(188\) −1.48120 + 1.85737i −0.108028 + 0.135462i
\(189\) 3.45658 4.33442i 0.251430 0.315283i
\(190\) 26.1123 + 5.95996i 1.89439 + 0.432381i
\(191\) 9.30077 4.47902i 0.672980 0.324090i −0.0659977 0.997820i \(-0.521023\pi\)
0.738978 + 0.673730i \(0.235309\pi\)
\(192\) −6.80145 + 14.1234i −0.490852 + 1.01927i
\(193\) −0.349274 0.0797196i −0.0251413 0.00573834i 0.209932 0.977716i \(-0.432676\pi\)
−0.235073 + 0.971978i \(0.575533\pi\)
\(194\) −23.3694 5.33392i −1.67783 0.382953i
\(195\) 21.7685 + 10.4832i 1.55888 + 0.750715i
\(196\) 0.632862 0.304770i 0.0452045 0.0217693i
\(197\) 23.4365 + 5.34922i 1.66978 + 0.381116i 0.949795 0.312873i \(-0.101291\pi\)
0.719985 + 0.693990i \(0.244149\pi\)
\(198\) −7.81949 6.23583i −0.555707 0.443161i
\(199\) −3.96942 3.16550i −0.281384 0.224397i 0.472619 0.881267i \(-0.343309\pi\)
−0.754004 + 0.656870i \(0.771880\pi\)
\(200\) −33.4237 + 16.0960i −2.36342 + 1.13816i
\(201\) −2.88173 + 0.657735i −0.203261 + 0.0463931i
\(202\) 5.71017 + 7.16032i 0.401766 + 0.503798i
\(203\) 2.59431 + 11.3664i 0.182085 + 0.797766i
\(204\) 1.64132 1.48890i 0.114916 0.104244i
\(205\) 3.96302 4.96947i 0.276789 0.347083i
\(206\) −8.39051 4.04066i −0.584594 0.281526i
\(207\) −10.1890 + 8.12549i −0.708187 + 0.564760i
\(208\) −10.6803 −0.740546
\(209\) 12.2938i 0.850377i
\(210\) 36.8943 29.4222i 2.54595 2.03033i
\(211\) 5.15032 + 10.6948i 0.354563 + 0.736257i 0.999611 0.0278844i \(-0.00887704\pi\)
−0.645048 + 0.764142i \(0.723163\pi\)
\(212\) −0.0146211 + 0.0640593i −0.00100418 + 0.00439961i
\(213\) −5.27699 23.1200i −0.361574 1.58416i
\(214\) 21.5869i 1.47565i
\(215\) 24.8085 + 14.2854i 1.69193 + 0.974256i
\(216\) 4.62842i 0.314924i
\(217\) −5.40391 23.6761i −0.366841 1.60724i
\(218\) −3.06586 0.699762i −0.207646 0.0473938i
\(219\) 25.9937 12.5179i 1.75649 0.845881i
\(220\) 1.91575 + 2.40227i 0.129160 + 0.161961i
\(221\) −9.24376 3.74850i −0.621803 0.252152i
\(222\) 36.5954 2.45612
\(223\) 3.05538 + 3.83133i 0.204604 + 0.256565i 0.873537 0.486757i \(-0.161820\pi\)
−0.668934 + 0.743322i \(0.733249\pi\)
\(224\) −1.81351 + 3.76579i −0.121170 + 0.251613i
\(225\) 19.5758 24.5473i 1.30505 1.63649i
\(226\) −4.34117 + 9.01453i −0.288770 + 0.599637i
\(227\) 3.79216 0.865535i 0.251694 0.0574476i −0.0948122 0.995495i \(-0.530225\pi\)
0.346506 + 0.938048i \(0.387368\pi\)
\(228\) 1.72446 1.37521i 0.114205 0.0910755i
\(229\) −3.21372 14.0802i −0.212369 0.930448i −0.962952 0.269673i \(-0.913085\pi\)
0.750583 0.660776i \(-0.229773\pi\)
\(230\) 34.3144 16.5249i 2.26262 1.08962i
\(231\) 16.9344 + 13.5048i 1.11420 + 0.888549i
\(232\) −7.60990 6.06869i −0.499614 0.398429i
\(233\) −16.1292 3.68138i −1.05666 0.241175i −0.341315 0.939949i \(-0.610872\pi\)
−0.715343 + 0.698773i \(0.753730\pi\)
\(234\) 7.27719 3.50451i 0.475725 0.229097i
\(235\) 19.1533 39.7722i 1.24942 2.59445i
\(236\) 0.108155 0.473860i 0.00704032 0.0308456i
\(237\) 1.19660 5.24265i 0.0777276 0.340547i
\(238\) −14.4296 + 13.0896i −0.935332 + 0.848473i
\(239\) −12.3605 + 5.95249i −0.799533 + 0.385035i −0.788601 0.614905i \(-0.789194\pi\)
−0.0109323 + 0.999940i \(0.503480\pi\)
\(240\) −9.81085 + 42.9841i −0.633287 + 2.77461i
\(241\) −0.451386 0.359968i −0.0290763 0.0231876i 0.608844 0.793290i \(-0.291634\pi\)
−0.637920 + 0.770103i \(0.720205\pi\)
\(242\) 1.88836 2.36793i 0.121389 0.152217i
\(243\) −8.34955 17.3380i −0.535624 1.11223i
\(244\) 3.10859 0.709514i 0.199007 0.0454220i
\(245\) −10.2046 + 8.13793i −0.651951 + 0.519913i
\(246\) −1.10799 4.85443i −0.0706430 0.309507i
\(247\) −8.94505 4.30771i −0.569160 0.274093i
\(248\) 15.8513 + 12.6410i 1.00656 + 0.802703i
\(249\) −1.46924 + 3.05091i −0.0931094 + 0.193344i
\(250\) −46.2248 + 36.8630i −2.92351 + 2.33142i
\(251\) −8.18440 −0.516595 −0.258297 0.966065i \(-0.583161\pi\)
−0.258297 + 0.966065i \(0.583161\pi\)
\(252\) 1.65836i 0.104467i
\(253\) 10.8995 + 13.6676i 0.685247 + 0.859272i
\(254\) 13.3523 6.43012i 0.837797 0.403462i
\(255\) −23.5775 + 33.7592i −1.47648 + 2.11409i
\(256\) −1.23808 5.42440i −0.0773802 0.339025i
\(257\) −2.56803 −0.160189 −0.0800946 0.996787i \(-0.525522\pi\)
−0.0800946 + 0.996787i \(0.525522\pi\)
\(258\) 20.8665 8.21704i 1.29909 0.511570i
\(259\) −33.8209 −2.10153
\(260\) −2.41919 + 0.552165i −0.150032 + 0.0342438i
\(261\) 8.03125 + 1.83308i 0.497122 + 0.113465i
\(262\) −7.25484 15.0648i −0.448206 0.930709i
\(263\) 7.61824 + 9.55297i 0.469761 + 0.589061i 0.959112 0.283025i \(-0.0913380\pi\)
−0.489352 + 0.872086i \(0.662767\pi\)
\(264\) −18.0831 −1.11294
\(265\) 1.22094i 0.0750018i
\(266\) −15.1605 + 12.0901i −0.929549 + 0.741291i
\(267\) 7.26111 15.0779i 0.444373 0.922750i
\(268\) 0.189273 0.237341i 0.0115617 0.0144979i
\(269\) 0.519694 1.07916i 0.0316863 0.0657973i −0.884525 0.466493i \(-0.845517\pi\)
0.916211 + 0.400696i \(0.131232\pi\)
\(270\) 2.54738 + 11.1608i 0.155029 + 0.679226i
\(271\) 4.86705 + 6.10309i 0.295652 + 0.370736i 0.907365 0.420344i \(-0.138091\pi\)
−0.611713 + 0.791080i \(0.709519\pi\)
\(272\) 2.91529 17.9673i 0.176765 1.08942i
\(273\) −15.7600 + 7.58962i −0.953839 + 0.459344i
\(274\) 8.75917 10.9836i 0.529161 0.663547i
\(275\) −32.9277 26.2590i −1.98562 1.58348i
\(276\) 0.697918 3.05778i 0.0420097 0.184057i
\(277\) 5.23467 + 10.8699i 0.314521 + 0.653110i 0.996967 0.0778264i \(-0.0247980\pi\)
−0.682446 + 0.730936i \(0.739084\pi\)
\(278\) 4.24492 8.81468i 0.254594 0.528669i
\(279\) −16.7290 3.81828i −1.00154 0.228594i
\(280\) 8.10195 35.4970i 0.484184 2.12135i
\(281\) 1.70961 + 0.823305i 0.101987 + 0.0491143i 0.484182 0.874968i \(-0.339117\pi\)
−0.382195 + 0.924082i \(0.624832\pi\)
\(282\) −15.0042 31.1565i −0.893485 1.85534i
\(283\) −18.7742 4.28509i −1.11601 0.254722i −0.375538 0.926807i \(-0.622542\pi\)
−0.740474 + 0.672085i \(0.765399\pi\)
\(284\) 1.90418 + 1.51853i 0.112992 + 0.0901083i
\(285\) −25.5537 + 32.0434i −1.51367 + 1.89808i
\(286\) −4.70094 9.76161i −0.277973 0.577216i
\(287\) 1.02399 + 4.48639i 0.0604441 + 0.264823i
\(288\) 1.84135 + 2.30898i 0.108502 + 0.136058i
\(289\) 8.82920 14.5274i 0.519365 0.854553i
\(290\) −21.6904 10.4455i −1.27370 0.613382i
\(291\) 22.8695 28.6775i 1.34063 1.68110i
\(292\) −1.28561 + 2.66960i −0.0752348 + 0.156227i
\(293\) 3.70146 + 4.64149i 0.216242 + 0.271159i 0.878107 0.478464i \(-0.158806\pi\)
−0.661865 + 0.749623i \(0.730235\pi\)
\(294\) 10.2248i 0.596321i
\(295\) 9.03155i 0.525837i
\(296\) 22.0756 17.6047i 1.28312 1.02325i
\(297\) −4.73418 + 2.27986i −0.274705 + 0.132291i
\(298\) 1.71184 7.50006i 0.0991643 0.434467i
\(299\) −13.7638 + 3.14150i −0.795982 + 0.181678i
\(300\) 7.55621i 0.436258i
\(301\) −19.2844 + 7.59405i −1.11154 + 0.437714i
\(302\) 23.3592 1.34417
\(303\) −13.6629 + 3.11848i −0.784915 + 0.179152i
\(304\) 4.03144 17.6629i 0.231219 1.01304i
\(305\) −53.3808 + 25.7068i −3.05658 + 1.47197i
\(306\) 3.90919 + 13.1989i 0.223473 + 0.754528i
\(307\) 10.6219 0.606224 0.303112 0.952955i \(-0.401974\pi\)
0.303112 + 0.952955i \(0.401974\pi\)
\(308\) −2.22452 −0.126754
\(309\) 11.1415 8.88506i 0.633818 0.505453i
\(310\) 45.1807 + 21.7579i 2.56609 + 1.23576i
\(311\) 2.23474 + 1.78215i 0.126720 + 0.101056i 0.684799 0.728732i \(-0.259890\pi\)
−0.558079 + 0.829788i \(0.688461\pi\)
\(312\) 6.33628 13.1574i 0.358721 0.744892i
\(313\) −24.1171 + 5.50457i −1.36318 + 0.311137i −0.840693 0.541511i \(-0.817852\pi\)
−0.522486 + 0.852648i \(0.674995\pi\)
\(314\) −14.5160 18.2025i −0.819186 1.02723i
\(315\) 6.85701 + 30.0425i 0.386349 + 1.69270i
\(316\) 0.239624 + 0.497585i 0.0134799 + 0.0279913i
\(317\) −14.1291 11.2676i −0.793570 0.632851i 0.140443 0.990089i \(-0.455147\pi\)
−0.934014 + 0.357237i \(0.883719\pi\)
\(318\) −0.747785 0.596339i −0.0419337 0.0334410i
\(319\) 2.45889 10.7731i 0.137672 0.603179i
\(320\) 12.9797 + 26.9527i 0.725589 + 1.50670i
\(321\) −29.7614 14.3323i −1.66112 0.799952i
\(322\) −6.13571 + 26.8823i −0.341930 + 1.49809i
\(323\) 9.68841 13.8722i 0.539077 0.771872i
\(324\) 2.26756 + 1.09200i 0.125976 + 0.0606667i
\(325\) 30.6441 14.7574i 1.69983 0.818594i
\(326\) −0.380278 0.0867960i −0.0210617 0.00480719i
\(327\) 3.00027 3.76222i 0.165916 0.208051i
\(328\) −3.00367 2.39535i −0.165850 0.132261i
\(329\) 13.8666 + 28.7943i 0.764491 + 1.58748i
\(330\) −43.6050 + 9.95255i −2.40038 + 0.547870i
\(331\) 11.2202 + 14.0697i 0.616719 + 0.773341i 0.987879 0.155228i \(-0.0496113\pi\)
−0.371160 + 0.928569i \(0.621040\pi\)
\(332\) −0.0773873 0.339056i −0.00424718 0.0186081i
\(333\) −10.3685 + 21.5305i −0.568193 + 1.17986i
\(334\) 25.1489 + 20.0556i 1.37609 + 1.09739i
\(335\) −2.44747 + 5.08223i −0.133720 + 0.277672i
\(336\) −19.9018 24.9561i −1.08573 1.36147i
\(337\) 19.6077i 1.06810i −0.845454 0.534049i \(-0.820670\pi\)
0.845454 0.534049i \(-0.179330\pi\)
\(338\) −10.6848 −0.581177
\(339\) −9.54585 11.9701i −0.518460 0.650128i
\(340\) −0.268554 4.22048i −0.0145644 0.228887i
\(341\) −5.12183 + 22.4402i −0.277363 + 1.21521i
\(342\) 3.04881 + 13.3577i 0.164861 + 0.722303i
\(343\) 12.6750i 0.684387i
\(344\) 8.63445 14.9949i 0.465538 0.808470i
\(345\) 58.2799i 3.13768i
\(346\) 3.25487 0.742903i 0.174983 0.0399387i
\(347\) −1.92518 0.439410i −0.103349 0.0235888i 0.170534 0.985352i \(-0.445451\pi\)
−0.273883 + 0.961763i \(0.588308\pi\)
\(348\) −1.78622 + 0.860196i −0.0957512 + 0.0461114i
\(349\) 11.0246 + 13.8245i 0.590136 + 0.740007i 0.983804 0.179246i \(-0.0573657\pi\)
−0.393669 + 0.919252i \(0.628794\pi\)
\(350\) 66.4300i 3.55083i
\(351\) 4.24350i 0.226501i
\(352\) 3.09726 2.46998i 0.165084 0.131650i
\(353\) −14.4394 6.95366i −0.768533 0.370106i 0.00817549 0.999967i \(-0.497398\pi\)
−0.776708 + 0.629861i \(0.783112\pi\)
\(354\) 5.53152 + 4.41124i 0.293997 + 0.234455i
\(355\) −40.7746 19.6360i −2.16409 1.04217i
\(356\) 0.382454 + 1.67564i 0.0202700 + 0.0888089i
\(357\) −8.46601 28.5844i −0.448069 1.51285i
\(358\) −1.58852 6.95974i −0.0839557 0.367834i
\(359\) 12.5512 6.04433i 0.662426 0.319008i −0.0722885 0.997384i \(-0.523030\pi\)
0.734715 + 0.678376i \(0.237316\pi\)
\(360\) −20.1137 16.0401i −1.06008 0.845389i
\(361\) −1.34584 + 1.68763i −0.0708339 + 0.0888229i
\(362\) −2.56910 0.586380i −0.135029 0.0308195i
\(363\) 2.01086 + 4.17560i 0.105543 + 0.219162i
\(364\) 0.779469 1.61858i 0.0408553 0.0848368i
\(365\) 12.2516 53.6778i 0.641278 2.80962i
\(366\) −10.3280 + 45.2498i −0.539852 + 2.36525i
\(367\) 8.85918 18.3963i 0.462445 0.960277i −0.531150 0.847278i \(-0.678240\pi\)
0.993595 0.112999i \(-0.0360458\pi\)
\(368\) −11.1778 23.2110i −0.582684 1.20995i
\(369\) 3.16998 + 0.723527i 0.165023 + 0.0376653i
\(370\) 43.5431 54.6014i 2.26370 2.83859i
\(371\) 0.691091 + 0.551127i 0.0358797 + 0.0286131i
\(372\) 3.72066 1.79178i 0.192907 0.0928992i
\(373\) −6.66349 29.1947i −0.345023 1.51164i −0.788318 0.615268i \(-0.789048\pi\)
0.443296 0.896375i \(-0.353809\pi\)
\(374\) 17.7049 5.24378i 0.915500 0.271149i
\(375\) −20.1319 88.2037i −1.03961 4.55482i
\(376\) −24.0393 11.5767i −1.23973 0.597023i
\(377\) 6.97703 + 5.56399i 0.359335 + 0.286560i
\(378\) −7.46725 3.59604i −0.384074 0.184960i
\(379\) −9.00889 + 7.18435i −0.462755 + 0.369035i −0.826939 0.562292i \(-0.809920\pi\)
0.364183 + 0.931327i \(0.381348\pi\)
\(380\) 4.20924i 0.215930i
\(381\) 22.6776i 1.16181i
\(382\) −9.62215 12.0658i −0.492312 0.617339i
\(383\) −10.0762 + 4.85242i −0.514868 + 0.247947i −0.673229 0.739434i \(-0.735093\pi\)
0.158361 + 0.987381i \(0.449379\pi\)
\(384\) 28.7460 + 6.56108i 1.46694 + 0.334819i
\(385\) 40.2990 9.19799i 2.05383 0.468773i
\(386\) 0.535584i 0.0272605i
\(387\) −1.07767 + 14.6047i −0.0547812 + 0.742398i
\(388\) 3.76710i 0.191245i
\(389\) 1.79288 + 7.85513i 0.0909028 + 0.398271i 0.999825 0.0186941i \(-0.00595086\pi\)
−0.908922 + 0.416965i \(0.863094\pi\)
\(390\) 8.03754 35.2148i 0.406997 1.78317i
\(391\) −1.52792 24.0121i −0.0772702 1.21434i
\(392\) 4.91876 + 6.16794i 0.248435 + 0.311528i
\(393\) 25.5863 1.29066
\(394\) 35.9379i 1.81053i
\(395\) −6.39841 8.02335i −0.321939 0.403699i
\(396\) −0.681977 + 1.41614i −0.0342706 + 0.0711637i
\(397\) 19.4324 + 15.4968i 0.975283 + 0.777763i 0.974993 0.222237i \(-0.0713360\pi\)
0.000290835 1.00000i \(0.499907\pi\)
\(398\) −3.29322 + 6.83843i −0.165074 + 0.342780i
\(399\) −6.60273 28.9284i −0.330550 1.44823i
\(400\) 38.6975 + 48.5251i 1.93488 + 2.42626i
\(401\) −13.1101 + 2.99229i −0.654685 + 0.149428i −0.536946 0.843617i \(-0.680422\pi\)
−0.117740 + 0.993044i \(0.537565\pi\)
\(402\) 1.91729 + 3.98128i 0.0956255 + 0.198568i
\(403\) −14.5330 11.5897i −0.723942 0.577325i
\(404\) 0.897387 1.12529i 0.0446467 0.0559852i
\(405\) −45.5939 10.4065i −2.26558 0.517104i
\(406\) 15.7034 7.56237i 0.779348 0.375314i
\(407\) 28.8810 + 13.9083i 1.43158 + 0.689411i
\(408\) 20.4049 + 14.2508i 1.01019 + 0.705521i
\(409\) −8.56192 + 37.5122i −0.423360 + 1.85486i 0.0889176 + 0.996039i \(0.471659\pi\)
−0.512277 + 0.858820i \(0.671198\pi\)
\(410\) −8.56130 4.12291i −0.422813 0.203616i
\(411\) 9.32737 + 19.3685i 0.460085 + 0.955377i
\(412\) −0.325672 + 1.42686i −0.0160447 + 0.0702965i
\(413\) −5.11214 4.07680i −0.251552 0.200606i
\(414\) 15.2323 + 12.1474i 0.748629 + 0.597011i
\(415\) 2.80386 + 5.82228i 0.137636 + 0.285805i
\(416\) 0.711908 + 3.11907i 0.0349042 + 0.152925i
\(417\) 9.33423 + 11.7047i 0.457099 + 0.573184i
\(418\) 17.9180 4.08967i 0.876399 0.200032i
\(419\) −7.39870 + 15.3636i −0.361450 + 0.750559i −0.999816 0.0191739i \(-0.993896\pi\)
0.638366 + 0.769733i \(0.279611\pi\)
\(420\) −5.79816 4.62388i −0.282921 0.225622i
\(421\) −9.01745 4.34257i −0.439484 0.211644i 0.201039 0.979583i \(-0.435568\pi\)
−0.640523 + 0.767939i \(0.721282\pi\)
\(422\) 13.8742 11.0643i 0.675385 0.538602i
\(423\) 22.5817 1.09796
\(424\) −0.737966 −0.0358388
\(425\) 16.4615 + 55.5801i 0.798500 + 2.69603i
\(426\) −31.9418 + 15.3823i −1.54758 + 0.745277i
\(427\) 9.54495 41.8192i 0.461913 2.02377i
\(428\) 3.30746 0.754906i 0.159872 0.0364898i
\(429\) 16.5792 0.800452
\(430\) 12.5680 40.9104i 0.606081 1.97288i
\(431\) 32.2338i 1.55265i −0.630335 0.776323i \(-0.717083\pi\)
0.630335 0.776323i \(-0.282917\pi\)
\(432\) 7.54941 1.72310i 0.363221 0.0829029i
\(433\) 2.51385 11.0139i 0.120808 0.529294i −0.877917 0.478813i \(-0.841067\pi\)
0.998725 0.0504813i \(-0.0160755\pi\)
\(434\) −32.7100 + 15.7523i −1.57013 + 0.756134i
\(435\) 28.8020 22.9688i 1.38095 1.10127i
\(436\) 0.494209i 0.0236683i
\(437\) 23.9482i 1.14560i
\(438\) −26.8919 33.7213i −1.28494 1.61127i
\(439\) 10.5282 21.8620i 0.502484 1.04342i −0.483309 0.875450i \(-0.660565\pi\)
0.985792 0.167968i \(-0.0537205\pi\)
\(440\) −21.5162 + 26.9805i −1.02574 + 1.28624i
\(441\) −6.01564 2.89698i −0.286459 0.137951i
\(442\) −2.38835 + 14.7197i −0.113602 + 0.700144i
\(443\) −12.0832 15.1519i −0.574092 0.719889i 0.407000 0.913428i \(-0.366575\pi\)
−0.981093 + 0.193539i \(0.938003\pi\)
\(444\) −1.27976 5.60699i −0.0607347 0.266096i
\(445\) −13.8569 28.7742i −0.656882 1.36403i
\(446\) 4.56772 5.72773i 0.216288 0.271216i
\(447\) 9.20360 + 7.33963i 0.435316 + 0.347153i
\(448\) −21.1151 4.81937i −0.997593 0.227694i
\(449\) 12.1417 + 25.2126i 0.573004 + 1.18985i 0.963116 + 0.269087i \(0.0867221\pi\)
−0.390112 + 0.920767i \(0.627564\pi\)
\(450\) −42.2896 20.3656i −1.99355 0.960044i
\(451\) 0.970538 4.25221i 0.0457009 0.200229i
\(452\) 1.53298 + 0.349893i 0.0721054 + 0.0164576i
\(453\) −15.5090 + 32.2048i −0.728677 + 1.51311i
\(454\) −2.52302 5.23910i −0.118411 0.245883i
\(455\) −7.42816 + 32.5449i −0.348238 + 1.52573i
\(456\) 19.3678 + 15.4453i 0.906980 + 0.723292i
\(457\) 9.36082 11.7381i 0.437881 0.549085i −0.513103 0.858327i \(-0.671504\pi\)
0.950983 + 0.309242i \(0.100075\pi\)
\(458\) −19.4527 + 9.36794i −0.908967 + 0.437735i
\(459\) 7.13875 + 1.15830i 0.333208 + 0.0540650i
\(460\) −3.73187 4.67962i −0.173999 0.218188i
\(461\) 5.90766 + 25.8832i 0.275147 + 1.20550i 0.903849 + 0.427852i \(0.140730\pi\)
−0.628702 + 0.777647i \(0.716413\pi\)
\(462\) 14.0496 29.1743i 0.653647 1.35731i
\(463\) −2.97480 + 3.73028i −0.138251 + 0.173361i −0.846137 0.532966i \(-0.821077\pi\)
0.707886 + 0.706326i \(0.249649\pi\)
\(464\) −7.06557 + 14.6718i −0.328011 + 0.681122i
\(465\) −59.9941 + 47.8437i −2.78216 + 2.21870i
\(466\) 24.7328i 1.14573i
\(467\) 9.90579 0.458385 0.229193 0.973381i \(-0.426391\pi\)
0.229193 + 0.973381i \(0.426391\pi\)
\(468\) −0.791434 0.992426i −0.0365840 0.0458749i
\(469\) −1.77192 3.67944i −0.0818199 0.169901i
\(470\) −64.3391 14.6850i −2.96774 0.677368i
\(471\) 34.7331 7.92759i 1.60042 0.365284i
\(472\) 5.45889 0.251266
\(473\) 19.5907 + 1.44559i 0.900781 + 0.0664683i
\(474\) −8.03918 −0.369252
\(475\) 12.8385 + 56.2491i 0.589070 + 2.58089i
\(476\) 2.51015 + 1.75309i 0.115052 + 0.0803529i
\(477\) 0.562719 0.270991i 0.0257651 0.0124078i
\(478\) 12.7876 + 16.0351i 0.584890 + 0.733429i
\(479\) 13.7172i 0.626754i −0.949629 0.313377i \(-0.898540\pi\)
0.949629 0.313377i \(-0.101460\pi\)
\(480\) 13.2070 0.602815
\(481\) −20.2397 + 16.1406i −0.922851 + 0.735949i
\(482\) −0.374491 + 0.777639i −0.0170576 + 0.0354205i
\(483\) −32.9882 26.3072i −1.50102 1.19702i
\(484\) −0.428842 0.206520i −0.0194928 0.00938725i
\(485\) −15.5762 68.2440i −0.707281 3.09880i
\(486\) −22.4924 + 17.9371i −1.02028 + 0.813644i
\(487\) 9.08457 2.07349i 0.411661 0.0939590i −0.0116746 0.999932i \(-0.503716\pi\)
0.423336 + 0.905973i \(0.360859\pi\)
\(488\) 15.5378 + 32.2647i 0.703365 + 1.46055i
\(489\) 0.372144 0.466653i 0.0168289 0.0211028i
\(490\) 15.2557 + 12.1660i 0.689181 + 0.549603i
\(491\) 6.79201 29.7577i 0.306519 1.34295i −0.553569 0.832803i \(-0.686735\pi\)
0.860088 0.510145i \(-0.170408\pi\)
\(492\) −0.705029 + 0.339524i −0.0317852 + 0.0153069i
\(493\) −11.2646 + 10.2186i −0.507334 + 0.460221i
\(494\) −3.30276 + 14.4703i −0.148598 + 0.651052i
\(495\) 6.49909 28.4744i 0.292112 1.27983i
\(496\) 14.7175 30.5612i 0.660834 1.37224i
\(497\) 29.5201 14.2161i 1.32416 0.637680i
\(498\) 4.93544 + 1.12648i 0.221162 + 0.0504788i
\(499\) 3.91002 + 3.11813i 0.175036 + 0.139587i 0.707089 0.707124i \(-0.250008\pi\)
−0.532053 + 0.846711i \(0.678579\pi\)
\(500\) 7.26451 + 5.79325i 0.324879 + 0.259082i
\(501\) −44.3474 + 21.3566i −1.98130 + 0.954143i
\(502\) 2.72264 + 11.9287i 0.121518 + 0.532403i
\(503\) −11.8303 + 9.43432i −0.527485 + 0.420655i −0.850685 0.525675i \(-0.823813\pi\)
0.323200 + 0.946331i \(0.395241\pi\)
\(504\) 18.1584 4.14455i 0.808841 0.184613i
\(505\) −11.6040 + 24.0960i −0.516373 + 1.07226i
\(506\) 16.2945 20.4326i 0.724378 0.908342i
\(507\) 7.09402 14.7309i 0.315056 0.654221i
\(508\) −1.45213 1.82092i −0.0644280 0.0807901i
\(509\) 23.3707 1.03589 0.517944 0.855414i \(-0.326697\pi\)
0.517944 + 0.855414i \(0.326697\pi\)
\(510\) 57.0471 + 23.1336i 2.52609 + 1.02437i
\(511\) 24.8530 + 31.1647i 1.09943 + 1.37864i
\(512\) 15.7310 7.57566i 0.695219 0.334800i
\(513\) 7.01783 + 1.60177i 0.309845 + 0.0707200i
\(514\) 0.854287 + 3.74288i 0.0376810 + 0.165091i
\(515\) 27.1954i 1.19837i
\(516\) −1.98869 2.90972i −0.0875473 0.128093i
\(517\) 30.2911i 1.33220i
\(518\) 11.2509 + 49.2936i 0.494338 + 2.16584i
\(519\) −1.13680 + 4.98065i −0.0499000 + 0.218626i
\(520\) −12.0920 25.1093i −0.530270 1.10112i
\(521\) −7.56980 + 6.03672i −0.331639 + 0.264473i −0.775125 0.631808i \(-0.782313\pi\)
0.443486 + 0.896281i \(0.353742\pi\)
\(522\) 12.3153i 0.539025i
\(523\) −15.1094 −0.660686 −0.330343 0.943861i \(-0.607164\pi\)
−0.330343 + 0.943861i \(0.607164\pi\)
\(524\) −2.05447 + 1.63838i −0.0897498 + 0.0715731i
\(525\) 91.5854 + 44.1052i 3.99711 + 1.92491i
\(526\) 11.3891 14.2814i 0.496587 0.622700i
\(527\) 23.4641 21.2851i 1.02211 0.927194i
\(528\) 6.73212 + 29.4953i 0.292978 + 1.28362i
\(529\) −6.89196 8.64225i −0.299651 0.375750i
\(530\) −1.77951 + 0.406162i −0.0772970 + 0.0176425i
\(531\) −4.16255 + 2.00458i −0.180639 + 0.0869913i
\(532\) 2.38256 + 1.90003i 0.103297 + 0.0823768i
\(533\) 2.75387 + 2.19614i 0.119283 + 0.0951253i
\(534\) −24.3913 5.56716i −1.05552 0.240915i
\(535\) −56.7959 + 27.3515i −2.45550 + 1.18251i
\(536\) 3.07182 + 1.47931i 0.132683 + 0.0638965i
\(537\) 10.6499 + 2.43077i 0.459577 + 0.104895i
\(538\) −1.74574 0.398455i −0.0752643 0.0171786i
\(539\) −3.88600 + 8.06937i −0.167382 + 0.347572i
\(540\) 1.62093 0.780600i 0.0697538 0.0335917i
\(541\) −22.6300 5.16515i −0.972940 0.222067i −0.293631 0.955919i \(-0.594864\pi\)
−0.679310 + 0.733852i \(0.737721\pi\)
\(542\) 7.27611 9.12395i 0.312536 0.391907i
\(543\) 2.51414 3.15264i 0.107892 0.135293i
\(544\) −5.44147 + 0.346248i −0.233301 + 0.0148452i
\(545\) −2.04346 8.95299i −0.0875323 0.383504i
\(546\) 16.3046 + 20.4453i 0.697771 + 0.874977i
\(547\) 6.68535 1.52589i 0.285845 0.0652423i −0.0771943 0.997016i \(-0.524596\pi\)
0.363039 + 0.931774i \(0.381739\pi\)
\(548\) −1.98918 0.957940i −0.0849737 0.0409212i
\(549\) −23.6960 18.8970i −1.01132 0.806503i
\(550\) −27.3184 + 56.7272i −1.16486 + 2.41886i
\(551\) −11.8352 + 9.43828i −0.504198 + 0.402084i
\(552\) 35.2258 1.49931
\(553\) 7.42968 0.315942
\(554\) 14.1014 11.2455i 0.599112 0.477776i
\(555\) 46.3678 + 96.2836i 1.96820 + 4.08701i
\(556\) −1.49900 0.342136i −0.0635716 0.0145098i
\(557\) −9.70887 42.5374i −0.411378 1.80237i −0.577649 0.816285i \(-0.696030\pi\)
0.166271 0.986080i \(-0.446827\pi\)
\(558\) 25.6525i 1.08596i
\(559\) −7.91637 + 13.7478i −0.334827 + 0.581472i
\(560\) −60.9154 −2.57415
\(561\) −4.52545 + 27.8909i −0.191065 + 1.17755i
\(562\) 0.631236 2.76563i 0.0266271 0.116661i
\(563\) 6.88980 3.31795i 0.290370 0.139835i −0.283028 0.959112i \(-0.591339\pi\)
0.573399 + 0.819277i \(0.305625\pi\)
\(564\) −4.24896 + 3.38844i −0.178914 + 0.142679i
\(565\) −29.2179 −1.22921
\(566\) 28.7888i 1.21008i
\(567\) 26.4713 21.1101i 1.11169 0.886543i
\(568\) −11.8685 + 24.6452i −0.497991 + 1.03409i
\(569\) −4.94121 + 6.19609i −0.207146 + 0.259753i −0.874542 0.484950i \(-0.838838\pi\)
0.667395 + 0.744704i \(0.267409\pi\)
\(570\) 55.2037 + 26.5847i 2.31223 + 1.11351i
\(571\) −40.4738 + 9.23787i −1.69377 + 0.386593i −0.957123 0.289680i \(-0.906451\pi\)
−0.736651 + 0.676273i \(0.763594\pi\)
\(572\) −1.33124 + 1.06163i −0.0556619 + 0.0443889i
\(573\) 23.0233 5.25492i 0.961812 0.219527i
\(574\) 6.19823 2.98491i 0.258709 0.124588i
\(575\) 64.1431 + 51.1524i 2.67495 + 2.13320i
\(576\) −9.54133 + 11.9644i −0.397555 + 0.498519i
\(577\) 4.09839 17.9562i 0.170618 0.747527i −0.815127 0.579282i \(-0.803333\pi\)
0.985745 0.168245i \(-0.0538100\pi\)
\(578\) −24.1107 8.03575i −1.00287 0.334243i
\(579\) −0.738396 0.355593i −0.0306867 0.0147779i
\(580\) −0.841897 + 3.68859i −0.0349579 + 0.153161i
\(581\) −4.56125 1.04108i −0.189232 0.0431911i
\(582\) −49.4050 23.7922i −2.04790 0.986218i
\(583\) −0.363507 0.754831i −0.0150549 0.0312619i
\(584\) −32.4442 7.40517i −1.34255 0.306428i
\(585\) 18.4410 + 14.7062i 0.762439 + 0.608025i
\(586\) 5.53359 6.93890i 0.228590 0.286643i
\(587\) −5.69535 + 2.74273i −0.235072 + 0.113205i −0.547712 0.836667i \(-0.684501\pi\)
0.312640 + 0.949872i \(0.398787\pi\)
\(588\) 1.56660 0.357566i 0.0646054 0.0147458i
\(589\) 24.6526 19.6598i 1.01579 0.810067i
\(590\) 13.1634 3.00446i 0.541929 0.123692i
\(591\) 49.5468 + 23.8605i 2.03808 + 0.981488i
\(592\) −36.9335 29.4535i −1.51796 1.21053i
\(593\) −37.5125 18.0651i −1.54045 0.741844i −0.545123 0.838356i \(-0.683517\pi\)
−0.995332 + 0.0965123i \(0.969231\pi\)
\(594\) 4.89777 + 6.14161i 0.200958 + 0.251993i
\(595\) −52.7220 21.3797i −2.16139 0.876482i
\(596\) −1.20899 −0.0495223
\(597\) −7.24150 9.08055i −0.296375 0.371642i
\(598\) 9.15742 + 19.0156i 0.374475 + 0.777605i
\(599\) 5.02033 21.9955i 0.205125 0.898712i −0.762633 0.646831i \(-0.776094\pi\)
0.967758 0.251881i \(-0.0810491\pi\)
\(600\) −82.7377 + 18.8843i −3.37775 + 0.770950i
\(601\) 20.6125i 0.840803i −0.907338 0.420401i \(-0.861889\pi\)
0.907338 0.420401i \(-0.138111\pi\)
\(602\) 17.4835 + 25.5806i 0.712573 + 1.04259i
\(603\) −2.88557 −0.117509
\(604\) −0.816884 3.57900i −0.0332385 0.145628i
\(605\) 8.62274 + 1.96808i 0.350564 + 0.0800140i
\(606\) 9.09030 + 18.8762i 0.369268 + 0.766794i
\(607\) 7.67813 6.12311i 0.311646 0.248529i −0.455158 0.890411i \(-0.650417\pi\)
0.766804 + 0.641881i \(0.221846\pi\)
\(608\) −5.42699 −0.220093
\(609\) 26.6709i 1.08076i
\(610\) 55.2253 + 69.2503i 2.23601 + 2.80386i
\(611\) 22.0401 + 10.6139i 0.891646 + 0.429394i
\(612\) 1.88557 1.06052i 0.0762196 0.0428690i
\(613\) −8.20424 3.95095i −0.331366 0.159577i 0.260801 0.965392i \(-0.416013\pi\)
−0.592167 + 0.805815i \(0.701728\pi\)
\(614\) −3.53351 15.4813i −0.142601 0.624776i
\(615\) 11.3683 9.06592i 0.458414 0.365573i
\(616\) −5.55949 24.3577i −0.223998 0.981400i
\(617\) 12.2054 + 25.3448i 0.491372 + 1.02034i 0.988296 + 0.152550i \(0.0487484\pi\)
−0.496924 + 0.867794i \(0.665537\pi\)
\(618\) −16.6563 13.2829i −0.670013 0.534317i
\(619\) −10.9292 8.71573i −0.439281 0.350315i 0.378740 0.925503i \(-0.376357\pi\)
−0.818021 + 0.575188i \(0.804929\pi\)
\(620\) 1.75366 7.68328i 0.0704286 0.308568i
\(621\) 9.22218 4.44117i 0.370073 0.178218i
\(622\) 1.85405 3.84997i 0.0743405 0.154370i
\(623\) 22.5421 + 5.14508i 0.903129 + 0.206133i
\(624\) −23.8200 5.43676i −0.953563 0.217645i
\(625\) −92.2230 44.4122i −3.68892 1.77649i
\(626\) 16.0457 + 33.3193i 0.641316 + 1.33171i
\(627\) −6.25808 + 27.4184i −0.249924 + 1.09499i
\(628\) −2.28128 + 2.86064i −0.0910331 + 0.114152i
\(629\) −21.6284 38.4546i −0.862381 1.53328i
\(630\) 41.5056 19.9881i 1.65362 0.796343i
\(631\) 7.88641 + 34.5526i 0.313953 + 1.37552i 0.847970 + 0.530045i \(0.177825\pi\)
−0.534017 + 0.845474i \(0.679318\pi\)
\(632\) −4.84951 + 3.86735i −0.192903 + 0.153835i
\(633\) 6.04251 + 26.4740i 0.240168 + 1.05225i
\(634\) −11.7222 + 24.3414i −0.465548 + 0.966719i
\(635\) 33.8357 + 26.9831i 1.34273 + 1.07079i
\(636\) −0.0652182 + 0.135427i −0.00258607 + 0.00537003i
\(637\) −4.50970 5.65499i −0.178681 0.224059i
\(638\) −16.5197 −0.654021
\(639\) 23.1509i 0.915834i
\(640\) 43.9928 35.0831i 1.73897 1.38678i
\(641\) −11.8075 24.5186i −0.466369 0.968425i −0.992976 0.118316i \(-0.962250\pi\)
0.526607 0.850109i \(-0.323464\pi\)
\(642\) −10.9887 + 48.1447i −0.433690 + 1.90012i
\(643\) 25.8109 5.89118i 1.01788 0.232325i 0.319148 0.947705i \(-0.396603\pi\)
0.698736 + 0.715380i \(0.253746\pi\)
\(644\) 4.33336 0.170758
\(645\) 48.0579 + 44.4890i 1.89228 + 1.75175i
\(646\) −23.4416 9.50599i −0.922299 0.374008i
\(647\) 7.52604 + 32.9737i 0.295879 + 1.29633i 0.876202 + 0.481944i \(0.160069\pi\)
−0.580323 + 0.814386i \(0.697074\pi\)
\(648\) −6.28995 + 27.5581i −0.247093 + 1.08258i
\(649\) 2.68894 + 5.58364i 0.105550 + 0.219177i
\(650\) −31.7029 39.7542i −1.24349 1.55929i
\(651\) 55.5550i 2.17737i
\(652\) 0.0613000i 0.00240069i
\(653\) 10.7900 8.60475i 0.422246 0.336730i −0.389204 0.921152i \(-0.627250\pi\)
0.811450 + 0.584421i \(0.198679\pi\)
\(654\) −6.48149 3.12132i −0.253446 0.122053i
\(655\) 30.4439 38.1754i 1.18954 1.49164i
\(656\) −2.78882 + 5.79105i −0.108885 + 0.226102i
\(657\) 27.4588 6.26730i 1.07127 0.244511i
\(658\) 37.3545 29.7893i 1.45623 1.16131i
\(659\) 1.73219 + 7.58920i 0.0674764 + 0.295633i 0.997395 0.0721318i \(-0.0229802\pi\)
−0.929919 + 0.367765i \(0.880123\pi\)
\(660\) 3.04978 + 6.33293i 0.118712 + 0.246509i
\(661\) −6.73711 + 8.44807i −0.262043 + 0.328592i −0.895395 0.445272i \(-0.853107\pi\)
0.633352 + 0.773864i \(0.281678\pi\)
\(662\) 16.7739 21.0338i 0.651937 0.817503i
\(663\) −18.7080 13.0657i −0.726557 0.507429i
\(664\) 3.51913 1.69472i 0.136569 0.0657681i
\(665\) −51.0183 24.5691i −1.97841 0.952750i
\(666\) 34.8297 + 7.94966i 1.34962 + 0.308043i
\(667\) −4.78992 + 20.9860i −0.185466 + 0.812581i
\(668\) 2.19337 4.55457i 0.0848639 0.176222i
\(669\) 4.86402 + 10.1002i 0.188054 + 0.390498i
\(670\) 8.22148 + 1.87650i 0.317623 + 0.0724955i
\(671\) −25.3484 + 31.7858i −0.978563 + 1.22708i
\(672\) −5.96159 + 7.47559i −0.229973 + 0.288377i
\(673\) −9.84201 20.4371i −0.379382 0.787794i −0.999993 0.00367606i \(-0.998830\pi\)
0.620612 0.784118i \(-0.286884\pi\)
\(674\) −28.5780 + 6.52274i −1.10078 + 0.251247i
\(675\) −19.2800 + 15.3753i −0.742088 + 0.591795i
\(676\) 0.373653 + 1.63708i 0.0143713 + 0.0629647i
\(677\) 16.4888 34.2394i 0.633717 1.31593i −0.298632 0.954368i \(-0.596530\pi\)
0.932349 0.361559i \(-0.117755\pi\)
\(678\) −14.2708 + 17.8950i −0.548067 + 0.687254i
\(679\) 45.6593 + 21.9884i 1.75224 + 0.843836i
\(680\) 45.5415 13.4883i 1.74644 0.517253i
\(681\) 8.89814 0.340977
\(682\) 34.4103 1.31764
\(683\) −21.6382 + 17.2559i −0.827961 + 0.660277i −0.942893 0.333097i \(-0.891906\pi\)
0.114932 + 0.993373i \(0.463335\pi\)
\(684\) 1.94000 0.934253i 0.0741776 0.0357221i
\(685\) 39.9965 + 9.12895i 1.52819 + 0.348799i
\(686\) 18.4737 4.21651i 0.705330 0.160987i
\(687\) 33.0387i 1.26051i
\(688\) −27.6727 8.50124i −1.05501 0.324107i
\(689\) 0.676594 0.0257762
\(690\) 84.9424 19.3875i 3.23370 0.738071i
\(691\) −26.9456 6.15015i −1.02506 0.233963i −0.323238 0.946318i \(-0.604772\pi\)
−0.701820 + 0.712355i \(0.747629\pi\)
\(692\) −0.227649 0.472718i −0.00865392 0.0179700i
\(693\) 13.1837 + 16.5319i 0.500809 + 0.627994i
\(694\) 2.95211i 0.112060i
\(695\) 28.5702 1.08373
\(696\) −13.8829 17.4086i −0.526231 0.659872i
\(697\) −4.44621 + 4.03332i −0.168412 + 0.152773i
\(698\) 16.4815 20.6672i 0.623836 0.782265i
\(699\) −34.0985 16.4210i −1.28972 0.621099i
\(700\) −10.1781 + 2.32309i −0.384697 + 0.0878046i
\(701\) −13.9855 17.5373i −0.528227 0.662375i 0.444106 0.895974i \(-0.353521\pi\)
−0.972333 + 0.233599i \(0.924950\pi\)
\(702\) −6.18486 + 1.41165i −0.233432 + 0.0532794i
\(703\) −19.0533 39.5646i −0.718609 1.49221i
\(704\) 16.0491 + 12.7987i 0.604873 + 0.482370i
\(705\) 62.9628 78.9529i 2.37132 2.97354i
\(706\) −5.33143 + 23.3585i −0.200651 + 0.879110i
\(707\) −8.40111 17.4451i −0.315956 0.656090i
\(708\) 0.482432 1.00178i 0.0181309 0.0376492i
\(709\) −29.9332 6.83205i −1.12416 0.256583i −0.380266 0.924877i \(-0.624168\pi\)
−0.743897 + 0.668294i \(0.767025\pi\)
\(710\) −15.0551 + 65.9608i −0.565008 + 2.47546i
\(711\) 2.27774 4.72977i 0.0854217 0.177380i
\(712\) −17.3918 + 8.37547i −0.651787 + 0.313884i
\(713\) 9.97732 43.7135i 0.373653 1.63708i
\(714\) −38.8451 + 21.8481i −1.45374 + 0.817645i
\(715\) 19.7268 24.7367i 0.737742 0.925099i
\(716\) −1.01079 + 0.486772i −0.0377751 + 0.0181915i
\(717\) −30.5974 + 6.98365i −1.14268 + 0.260809i
\(718\) −12.9849 16.2825i −0.484591 0.607658i
\(719\) 32.2488 7.36057i 1.20268 0.274503i 0.426188 0.904635i \(-0.359856\pi\)
0.776488 + 0.630132i \(0.216999\pi\)
\(720\) −18.6750 + 38.7790i −0.695976 + 1.44521i
\(721\) 15.3934 + 12.2759i 0.573282 + 0.457177i
\(722\) 2.90742 + 1.40014i 0.108203 + 0.0521079i
\(723\) −0.823474 1.03260i −0.0306253 0.0384029i
\(724\) 0.414133i 0.0153911i
\(725\) 51.8594i 1.92601i
\(726\) 5.41696 4.31988i 0.201042 0.160326i
\(727\) 44.7860 21.5678i 1.66102 0.799905i 0.662305 0.749235i \(-0.269579\pi\)
0.998715 0.0506703i \(-0.0161358\pi\)
\(728\) 19.6709 + 4.48976i 0.729053 + 0.166402i
\(729\) −2.64478 11.5875i −0.0979547 0.429168i
\(730\) −82.3105 −3.04645
\(731\) −20.9669 17.0702i −0.775488 0.631363i
\(732\) 7.29417 0.269600
\(733\) 0.546791 + 2.39565i 0.0201962 + 0.0884853i 0.984022 0.178049i \(-0.0569786\pi\)
−0.963825 + 0.266534i \(0.914121\pi\)
\(734\) −29.7595 6.79241i −1.09844 0.250713i
\(735\) −26.9017 + 12.9552i −0.992285 + 0.477859i
\(736\) −6.03345 + 4.81152i −0.222396 + 0.177355i
\(737\) 3.87070i 0.142579i
\(738\) 4.86091i 0.178932i
\(739\) −10.5275 13.2011i −0.387262 0.485611i 0.549542 0.835466i \(-0.314802\pi\)
−0.936804 + 0.349855i \(0.886231\pi\)
\(740\) −9.88852 4.76206i −0.363509 0.175057i
\(741\) −17.7571 14.1608i −0.652323 0.520210i
\(742\) 0.573362 1.19060i 0.0210488 0.0437082i
\(743\) 26.0681 5.94989i 0.956348 0.218280i 0.284256 0.958748i \(-0.408253\pi\)
0.672091 + 0.740468i \(0.265396\pi\)
\(744\) 28.9179 + 36.2619i 1.06018 + 1.32943i
\(745\) 21.9019 4.99896i 0.802423 0.183148i
\(746\) −40.3343 + 19.4240i −1.47674 + 0.711162i
\(747\) −2.06111 + 2.58454i −0.0754119 + 0.0945636i
\(748\) −1.42258 2.52930i −0.0520147 0.0924803i
\(749\) 10.1556 44.4946i 0.371077 1.62580i
\(750\) −121.859 + 58.6842i −4.44966 + 2.14284i
\(751\) 3.06551 6.36560i 0.111862 0.232284i −0.837521 0.546406i \(-0.815996\pi\)
0.949383 + 0.314122i \(0.101710\pi\)
\(752\) −9.93323 + 43.5203i −0.362228 + 1.58702i
\(753\) −18.2534 4.16623i −0.665193 0.151826i
\(754\) 5.78847 12.0199i 0.210804 0.437739i
\(755\) 29.5970 + 61.4589i 1.07715 + 2.23672i
\(756\) −0.289837 + 1.26986i −0.0105413