Properties

Label 546.2.bw.a.527.18
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.18
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.60512 - 0.650838i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.124604 + 0.465027i) q^{5} +(-1.71888 + 0.213226i) q^{6} +(-0.410998 - 2.61363i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.15282 - 2.08935i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.60512 - 0.650838i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.124604 + 0.465027i) q^{5} +(-1.71888 + 0.213226i) q^{6} +(-0.410998 - 2.61363i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(2.15282 - 2.08935i) q^{9} -0.481431i q^{10} +(-4.14751 - 4.14751i) q^{11} +(1.71549 + 0.238917i) q^{12} +(-3.55655 - 0.592407i) q^{13} +(-0.279464 + 2.63095i) q^{14} +(0.502661 + 0.665327i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.233326 + 0.404133i) q^{17} +(-2.62023 + 1.46096i) q^{18} +(-1.05306 - 1.05306i) q^{19} +(-0.124604 + 0.465027i) q^{20} +(-2.36075 - 3.92770i) q^{21} +(2.93273 + 5.07964i) q^{22} +(-0.435360 - 0.754065i) q^{23} +(-1.59520 - 0.674779i) q^{24} +(4.12940 - 2.38411i) q^{25} +(3.28204 + 1.49272i) q^{26} +(2.09571 - 4.75479i) q^{27} +(0.950882 - 2.46897i) q^{28} +(7.17817 + 4.14432i) q^{29} +(-0.313334 - 0.772755i) q^{30} +(0.859548 - 3.20788i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-9.35660 - 3.95789i) q^{33} +(0.329973 - 0.329973i) q^{34} +(1.16420 - 0.516793i) q^{35} +(2.90907 - 0.733018i) q^{36} +(5.11728 + 1.37117i) q^{37} +(0.744629 + 1.28974i) q^{38} +(-6.09425 + 1.36385i) q^{39} +(0.240716 - 0.416932i) q^{40} +(0.926123 + 3.45634i) q^{41} +(1.26375 + 4.40488i) q^{42} +(-8.93046 + 5.15600i) q^{43} +(-1.51809 - 5.66560i) q^{44} +(1.23985 + 0.740778i) q^{45} +(0.225359 + 0.841050i) q^{46} +(5.94655 - 1.59337i) q^{47} +(1.36620 + 1.06466i) q^{48} +(-6.66216 + 2.14840i) q^{49} +(-4.60575 + 1.23411i) q^{50} +(-0.111492 + 0.800540i) q^{51} +(-2.78386 - 2.29132i) q^{52} +(7.10203 - 4.10036i) q^{53} +(-3.25493 + 4.05036i) q^{54} +(1.41191 - 2.44550i) q^{55} +(-1.55750 + 2.13874i) q^{56} +(-2.37567 - 1.00492i) q^{57} +(-5.86095 - 5.86095i) q^{58} +(2.15766 - 0.578143i) q^{59} +(0.102654 + 0.827520i) q^{60} -8.12680 q^{61} +(-1.66052 + 2.87610i) q^{62} +(-6.34559 - 4.76796i) q^{63} +1.00000i q^{64} +(-0.167674 - 1.72771i) q^{65} +(8.01341 + 6.24469i) q^{66} +(-4.53937 - 4.53937i) q^{67} +(-0.404133 + 0.233326i) q^{68} +(-1.18958 - 0.927016i) q^{69} +(-1.25828 + 0.197867i) q^{70} +(5.26585 + 1.41098i) q^{71} +(-2.99966 - 0.0448817i) q^{72} +(12.2046 + 3.27021i) q^{73} +(-4.58802 - 2.64890i) q^{74} +(5.07652 - 6.51436i) q^{75} +(-0.385448 - 1.43851i) q^{76} +(-9.13544 + 12.5447i) q^{77} +(6.23959 + 0.259926i) q^{78} +(4.47389 - 7.74901i) q^{79} +(-0.340423 + 0.340423i) q^{80} +(0.269260 - 8.99597i) q^{81} -3.57826i q^{82} +(-10.5966 + 10.5966i) q^{83} +(-0.0806227 - 4.58187i) q^{84} +(-0.217006 - 0.0581466i) q^{85} +(9.96064 - 2.66894i) q^{86} +(14.2191 + 1.98030i) q^{87} +5.86546i q^{88} +(1.50163 - 5.60416i) q^{89} +(-1.00588 - 1.03643i) q^{90} +(-0.0865985 + 9.53900i) q^{91} -0.870719i q^{92} +(-0.708131 - 5.70845i) q^{93} -6.15632 q^{94} +(0.358488 - 0.620919i) q^{95} +(-1.04410 - 1.38198i) q^{96} +(1.48697 - 5.54945i) q^{97} +(6.99120 - 0.350900i) q^{98} +(-17.5944 - 0.263252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 12q^{7} + O(q^{10}) \) \( 152q + 12q^{7} + 76q^{16} - 8q^{18} + 12q^{19} + 8q^{21} + 24q^{27} + 16q^{28} - 12q^{31} - 48q^{33} + 24q^{36} - 36q^{37} - 8q^{39} + 84q^{43} - 40q^{45} - 16q^{46} - 28q^{49} + 4q^{52} + 24q^{54} + 16q^{55} - 8q^{57} - 16q^{58} + 64q^{61} - 100q^{63} + 16q^{66} - 112q^{67} + 84q^{69} + 16q^{72} - 120q^{73} - 48q^{76} - 8q^{78} + 32q^{79} + 48q^{81} - 8q^{84} - 152q^{85} + 48q^{87} + 16q^{91} - 12q^{93} - 64q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) 1.60512 0.650838i 0.926716 0.375762i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 0.124604 + 0.465027i 0.0557244 + 0.207966i 0.988175 0.153332i \(-0.0490003\pi\)
−0.932450 + 0.361298i \(0.882334\pi\)
\(6\) −1.71888 + 0.213226i −0.701728 + 0.0870491i
\(7\) −0.410998 2.61363i −0.155343 0.987861i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 2.15282 2.08935i 0.717606 0.696449i
\(10\) 0.481431i 0.152242i
\(11\) −4.14751 4.14751i −1.25052 1.25052i −0.955487 0.295033i \(-0.904669\pi\)
−0.295033 0.955487i \(-0.595331\pi\)
\(12\) 1.71549 + 0.238917i 0.495220 + 0.0689695i
\(13\) −3.55655 0.592407i −0.986410 0.164304i
\(14\) −0.279464 + 2.63095i −0.0746899 + 0.703151i
\(15\) 0.502661 + 0.665327i 0.129786 + 0.171787i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.233326 + 0.404133i −0.0565900 + 0.0980167i −0.892933 0.450190i \(-0.851356\pi\)
0.836343 + 0.548207i \(0.184689\pi\)
\(18\) −2.62023 + 1.46096i −0.617593 + 0.344352i
\(19\) −1.05306 1.05306i −0.241590 0.241590i 0.575918 0.817508i \(-0.304645\pi\)
−0.817508 + 0.575918i \(0.804645\pi\)
\(20\) −0.124604 + 0.465027i −0.0278622 + 0.103983i
\(21\) −2.36075 3.92770i −0.515159 0.857095i
\(22\) 2.93273 + 5.07964i 0.625260 + 1.08298i
\(23\) −0.435360 0.754065i −0.0907788 0.157233i 0.817060 0.576552i \(-0.195602\pi\)
−0.907839 + 0.419319i \(0.862269\pi\)
\(24\) −1.59520 0.674779i −0.325619 0.137739i
\(25\) 4.12940 2.38411i 0.825881 0.476822i
\(26\) 3.28204 + 1.49272i 0.643661 + 0.292747i
\(27\) 2.09571 4.75479i 0.403319 0.915060i
\(28\) 0.950882 2.46897i 0.179700 0.466592i
\(29\) 7.17817 + 4.14432i 1.33295 + 0.769580i 0.985751 0.168210i \(-0.0537987\pi\)
0.347201 + 0.937791i \(0.387132\pi\)
\(30\) −0.313334 0.772755i −0.0572067 0.141085i
\(31\) 0.859548 3.20788i 0.154379 0.576152i −0.844778 0.535116i \(-0.820268\pi\)
0.999158 0.0410352i \(-0.0130656\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) −9.35660 3.95789i −1.62878 0.688980i
\(34\) 0.329973 0.329973i 0.0565900 0.0565900i
\(35\) 1.16420 0.516793i 0.196785 0.0873540i
\(36\) 2.90907 0.733018i 0.484845 0.122170i
\(37\) 5.11728 + 1.37117i 0.841275 + 0.225419i 0.653626 0.756817i \(-0.273247\pi\)
0.187648 + 0.982236i \(0.439913\pi\)
\(38\) 0.744629 + 1.28974i 0.120795 + 0.209223i
\(39\) −6.09425 + 1.36385i −0.975861 + 0.218392i
\(40\) 0.240716 0.416932i 0.0380605 0.0659227i
\(41\) 0.926123 + 3.45634i 0.144636 + 0.539789i 0.999771 + 0.0213843i \(0.00680736\pi\)
−0.855135 + 0.518405i \(0.826526\pi\)
\(42\) 1.26375 + 4.40488i 0.195001 + 0.679687i
\(43\) −8.93046 + 5.15600i −1.36188 + 0.786283i −0.989874 0.141946i \(-0.954664\pi\)
−0.372008 + 0.928229i \(0.621331\pi\)
\(44\) −1.51809 5.66560i −0.228861 0.854121i
\(45\) 1.23985 + 0.740778i 0.184826 + 0.110429i
\(46\) 0.225359 + 0.841050i 0.0332273 + 0.124006i
\(47\) 5.94655 1.59337i 0.867393 0.232417i 0.202433 0.979296i \(-0.435115\pi\)
0.664960 + 0.746879i \(0.268449\pi\)
\(48\) 1.36620 + 1.06466i 0.197194 + 0.153670i
\(49\) −6.66216 + 2.14840i −0.951737 + 0.306914i
\(50\) −4.60575 + 1.23411i −0.651352 + 0.174529i
\(51\) −0.111492 + 0.800540i −0.0156119 + 0.112098i
\(52\) −2.78386 2.29132i −0.386052 0.317748i
\(53\) 7.10203 4.10036i 0.975538 0.563227i 0.0746181 0.997212i \(-0.476226\pi\)
0.900920 + 0.433985i \(0.142893\pi\)
\(54\) −3.25493 + 4.05036i −0.442939 + 0.551185i
\(55\) 1.41191 2.44550i 0.190382 0.329751i
\(56\) −1.55750 + 2.13874i −0.208129 + 0.285801i
\(57\) −2.37567 1.00492i −0.314665 0.133105i
\(58\) −5.86095 5.86095i −0.769580 0.769580i
\(59\) 2.15766 0.578143i 0.280903 0.0752677i −0.115617 0.993294i \(-0.536884\pi\)
0.396520 + 0.918026i \(0.370218\pi\)
\(60\) 0.102654 + 0.827520i 0.0132525 + 0.106832i
\(61\) −8.12680 −1.04053 −0.520265 0.854005i \(-0.674167\pi\)
−0.520265 + 0.854005i \(0.674167\pi\)
\(62\) −1.66052 + 2.87610i −0.210886 + 0.365265i
\(63\) −6.34559 4.76796i −0.799469 0.600707i
\(64\) 1.00000i 0.125000i
\(65\) −0.167674 1.72771i −0.0207974 0.214296i
\(66\) 8.01341 + 6.24469i 0.986382 + 0.768669i
\(67\) −4.53937 4.53937i −0.554573 0.554573i 0.373184 0.927757i \(-0.378266\pi\)
−0.927757 + 0.373184i \(0.878266\pi\)
\(68\) −0.404133 + 0.233326i −0.0490084 + 0.0282950i
\(69\) −1.18958 0.927016i −0.143208 0.111600i
\(70\) −1.25828 + 0.197867i −0.150394 + 0.0236497i
\(71\) 5.26585 + 1.41098i 0.624941 + 0.167452i 0.557373 0.830262i \(-0.311809\pi\)
0.0675680 + 0.997715i \(0.478476\pi\)
\(72\) −2.99966 0.0448817i −0.353514 0.00528936i
\(73\) 12.2046 + 3.27021i 1.42844 + 0.382750i 0.888470 0.458934i \(-0.151769\pi\)
0.539971 + 0.841684i \(0.318435\pi\)
\(74\) −4.58802 2.64890i −0.533347 0.307928i
\(75\) 5.07652 6.51436i 0.586186 0.752213i
\(76\) −0.385448 1.43851i −0.0442140 0.165009i
\(77\) −9.13544 + 12.5447i −1.04108 + 1.42960i
\(78\) 6.23959 + 0.259926i 0.706494 + 0.0294308i
\(79\) 4.47389 7.74901i 0.503352 0.871832i −0.496640 0.867957i \(-0.665433\pi\)
0.999992 0.00387539i \(-0.00123358\pi\)
\(80\) −0.340423 + 0.340423i −0.0380605 + 0.0380605i
\(81\) 0.269260 8.99597i 0.0299178 0.999552i
\(82\) 3.57826i 0.395153i
\(83\) −10.5966 + 10.5966i −1.16313 + 1.16313i −0.179341 + 0.983787i \(0.557396\pi\)
−0.983787 + 0.179341i \(0.942604\pi\)
\(84\) −0.0806227 4.58187i −0.00879665 0.499923i
\(85\) −0.217006 0.0581466i −0.0235376 0.00630689i
\(86\) 9.96064 2.66894i 1.07408 0.287800i
\(87\) 14.2191 + 1.98030i 1.52445 + 0.212310i
\(88\) 5.86546i 0.625260i
\(89\) 1.50163 5.60416i 0.159172 0.594039i −0.839540 0.543299i \(-0.817175\pi\)
0.998712 0.0507407i \(-0.0161582\pi\)
\(90\) −1.00588 1.03643i −0.106029 0.109250i
\(91\) −0.0865985 + 9.53900i −0.00907799 + 0.999959i
\(92\) 0.870719i 0.0907788i
\(93\) −0.708131 5.70845i −0.0734298 0.591939i
\(94\) −6.15632 −0.634976
\(95\) 0.358488 0.620919i 0.0367801 0.0637049i
\(96\) −1.04410 1.38198i −0.106563 0.141047i
\(97\) 1.48697 5.54945i 0.150979 0.563462i −0.848437 0.529296i \(-0.822456\pi\)
0.999416 0.0341654i \(-0.0108773\pi\)
\(98\) 6.99120 0.350900i 0.706218 0.0354462i
\(99\) −17.5944 0.263252i −1.76830 0.0264578i
\(100\) 4.76822 0.476822
\(101\) 10.3452 1.02939 0.514693 0.857375i \(-0.327906\pi\)
0.514693 + 0.857375i \(0.327906\pi\)
\(102\) 0.314888 0.744406i 0.0311785 0.0737072i
\(103\) −4.27173 2.46629i −0.420906 0.243010i 0.274559 0.961570i \(-0.411468\pi\)
−0.695465 + 0.718560i \(0.744802\pi\)
\(104\) 2.09597 + 2.93376i 0.205526 + 0.287678i
\(105\) 1.53233 1.58722i 0.149540 0.154897i
\(106\) −7.92128 + 2.12250i −0.769383 + 0.206155i
\(107\) −8.39321 + 4.84582i −0.811402 + 0.468463i −0.847442 0.530887i \(-0.821859\pi\)
0.0360406 + 0.999350i \(0.488525\pi\)
\(108\) 4.19233 3.06992i 0.403407 0.295403i
\(109\) 0.702737 2.62265i 0.0673100 0.251204i −0.924070 0.382224i \(-0.875158\pi\)
0.991380 + 0.131019i \(0.0418250\pi\)
\(110\) −1.99674 + 1.99674i −0.190382 + 0.190382i
\(111\) 9.10625 1.12963i 0.864327 0.107219i
\(112\) 2.05797 1.66275i 0.194460 0.157115i
\(113\) 2.25886 1.30415i 0.212496 0.122684i −0.389975 0.920825i \(-0.627516\pi\)
0.602471 + 0.798141i \(0.294183\pi\)
\(114\) 2.03463 + 1.58555i 0.190560 + 0.148500i
\(115\) 0.296413 0.296413i 0.0276407 0.0276407i
\(116\) 4.14432 + 7.17817i 0.384790 + 0.666476i
\(117\) −8.89435 + 6.15552i −0.822283 + 0.569078i
\(118\) −2.23377 −0.205635
\(119\) 1.15215 + 0.443732i 0.105618 + 0.0406768i
\(120\) 0.115022 0.825892i 0.0105000 0.0753933i
\(121\) 23.4036i 2.12760i
\(122\) 7.84988 + 2.10337i 0.710695 + 0.190430i
\(123\) 3.73606 + 4.94508i 0.336869 + 0.445883i
\(124\) 2.34833 2.34833i 0.210886 0.210886i
\(125\) 3.32533 + 3.32533i 0.297427 + 0.297427i
\(126\) 4.89533 + 6.24786i 0.436111 + 0.556603i
\(127\) 18.5098 + 10.6866i 1.64248 + 0.948286i 0.979948 + 0.199252i \(0.0638511\pi\)
0.662531 + 0.749034i \(0.269482\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) −10.9787 + 14.0883i −0.966624 + 1.24040i
\(130\) −0.285203 + 1.71223i −0.0250140 + 0.150173i
\(131\) 14.4191 + 8.32490i 1.25981 + 0.727350i 0.973037 0.230650i \(-0.0740851\pi\)
0.286770 + 0.957999i \(0.407418\pi\)
\(132\) −6.12411 8.10593i −0.533035 0.705531i
\(133\) −2.31952 + 3.18513i −0.201128 + 0.276186i
\(134\) 3.20982 + 5.55958i 0.277286 + 0.480274i
\(135\) 2.47224 + 0.382096i 0.212776 + 0.0328856i
\(136\) 0.450752 0.120779i 0.0386517 0.0103567i
\(137\) −12.8811 + 3.45147i −1.10050 + 0.294879i −0.762969 0.646435i \(-0.776259\pi\)
−0.337534 + 0.941314i \(0.609593\pi\)
\(138\) 0.909116 + 1.20331i 0.0773891 + 0.102433i
\(139\) −0.972392 1.68423i −0.0824772 0.142855i 0.821836 0.569724i \(-0.192950\pi\)
−0.904313 + 0.426869i \(0.859617\pi\)
\(140\) 1.26662 + 0.134543i 0.107049 + 0.0113709i
\(141\) 8.50789 6.42779i 0.716494 0.541318i
\(142\) −4.72123 2.72580i −0.396197 0.228744i
\(143\) 12.2938 + 17.2078i 1.02806 + 1.43899i
\(144\) 2.88584 + 0.819723i 0.240486 + 0.0683102i
\(145\) −1.03279 + 3.85444i −0.0857688 + 0.320094i
\(146\) −10.9424 6.31757i −0.905595 0.522846i
\(147\) −9.29531 + 7.78443i −0.766664 + 0.642049i
\(148\) 3.74611 + 3.74611i 0.307928 + 0.307928i
\(149\) 2.11342 2.11342i 0.173138 0.173138i −0.615219 0.788356i \(-0.710932\pi\)
0.788356 + 0.615219i \(0.210932\pi\)
\(150\) −6.58958 + 4.97849i −0.538037 + 0.406492i
\(151\) 10.7357 + 2.87663i 0.873661 + 0.234097i 0.667670 0.744457i \(-0.267292\pi\)
0.205991 + 0.978554i \(0.433958\pi\)
\(152\) 1.48926i 0.120795i
\(153\) 0.342065 + 1.35753i 0.0276543 + 0.109749i
\(154\) 12.0710 9.75281i 0.972706 0.785903i
\(155\) 1.59885 0.128423
\(156\) −5.95970 1.86599i −0.477158 0.149399i
\(157\) 2.47257 + 4.28261i 0.197332 + 0.341790i 0.947663 0.319274i \(-0.103439\pi\)
−0.750330 + 0.661063i \(0.770106\pi\)
\(158\) −6.32704 + 6.32704i −0.503352 + 0.503352i
\(159\) 8.73093 11.2038i 0.692408 0.888522i
\(160\) 0.416932 0.240716i 0.0329613 0.0190302i
\(161\) −1.79192 + 1.44779i −0.141223 + 0.114102i
\(162\) −2.58841 + 8.61975i −0.203365 + 0.677232i
\(163\) −0.675973 + 0.675973i −0.0529463 + 0.0529463i −0.733084 0.680138i \(-0.761920\pi\)
0.680138 + 0.733084i \(0.261920\pi\)
\(164\) −0.926123 + 3.45634i −0.0723181 + 0.269895i
\(165\) 0.674659 4.84424i 0.0525221 0.377123i
\(166\) 12.9781 7.49293i 1.00730 0.581564i
\(167\) −21.7807 + 5.83613i −1.68544 + 0.451614i −0.969208 0.246244i \(-0.920804\pi\)
−0.716237 + 0.697857i \(0.754137\pi\)
\(168\) −1.10800 + 4.44661i −0.0854840 + 0.343063i
\(169\) 12.2981 + 4.21385i 0.946008 + 0.324143i
\(170\) 0.194562 + 0.112331i 0.0149223 + 0.00861537i
\(171\) −4.46728 0.0668405i −0.341621 0.00511142i
\(172\) −10.3120 −0.786283
\(173\) −0.310816 −0.0236309 −0.0118155 0.999930i \(-0.503761\pi\)
−0.0118155 + 0.999930i \(0.503761\pi\)
\(174\) −13.2221 5.59300i −1.00236 0.424004i
\(175\) −7.92837 9.81288i −0.599329 0.741784i
\(176\) 1.51809 5.66560i 0.114431 0.427061i
\(177\) 3.08702 2.33227i 0.232035 0.175304i
\(178\) −2.90092 + 5.02455i −0.217433 + 0.376606i
\(179\) 13.0004 0.971698 0.485849 0.874043i \(-0.338510\pi\)
0.485849 + 0.874043i \(0.338510\pi\)
\(180\) 0.703353 + 1.26146i 0.0524249 + 0.0940236i
\(181\) 20.2009i 1.50152i 0.660576 + 0.750759i \(0.270312\pi\)
−0.660576 + 0.750759i \(0.729688\pi\)
\(182\) 2.55252 9.19155i 0.189206 0.681323i
\(183\) −13.0445 + 5.28923i −0.964276 + 0.390991i
\(184\) −0.225359 + 0.841050i −0.0166137 + 0.0620031i
\(185\) 2.55052i 0.187518i
\(186\) −0.793454 + 5.69722i −0.0581789 + 0.417740i
\(187\) 2.64387 0.708423i 0.193339 0.0518050i
\(188\) 5.94655 + 1.59337i 0.433697 + 0.116209i
\(189\) −13.2886 3.52320i −0.966604 0.256275i
\(190\) −0.506978 + 0.506978i −0.0367801 + 0.0367801i
\(191\) 26.8811i 1.94505i −0.232801 0.972524i \(-0.574789\pi\)
0.232801 0.972524i \(-0.425211\pi\)
\(192\) 0.650838 + 1.60512i 0.0469702 + 0.115840i
\(193\) −8.52629 + 8.52629i −0.613735 + 0.613735i −0.943917 0.330182i \(-0.892890\pi\)
0.330182 + 0.943917i \(0.392890\pi\)
\(194\) −2.87261 + 4.97550i −0.206241 + 0.357220i
\(195\) −1.39359 2.66405i −0.0997974 0.190776i
\(196\) −6.84380 1.47051i −0.488843 0.105037i
\(197\) −1.82790 6.82183i −0.130233 0.486035i 0.869739 0.493511i \(-0.164287\pi\)
−0.999972 + 0.00747630i \(0.997620\pi\)
\(198\) 16.9268 + 4.80805i 1.20293 + 0.341693i
\(199\) −15.4472 8.91843i −1.09502 0.632211i −0.160113 0.987099i \(-0.551186\pi\)
−0.934909 + 0.354888i \(0.884519\pi\)
\(200\) −4.60575 1.23411i −0.325676 0.0872646i
\(201\) −10.2406 4.33184i −0.722319 0.305545i
\(202\) −9.99270 2.67753i −0.703084 0.188391i
\(203\) 7.88151 20.4644i 0.553174 1.43632i
\(204\) −0.496825 + 0.637542i −0.0347847 + 0.0446369i
\(205\) −1.49189 + 0.861344i −0.104198 + 0.0601589i
\(206\) 3.48786 + 3.48786i 0.243010 + 0.243010i
\(207\) −2.51275 0.713748i −0.174648 0.0496089i
\(208\) −1.26524 3.37627i −0.0877283 0.234102i
\(209\) 8.73519i 0.604226i
\(210\) −1.89092 + 1.13654i −0.130486 + 0.0784288i
\(211\) 13.3383 23.1026i 0.918246 1.59045i 0.116167 0.993230i \(-0.462939\pi\)
0.802079 0.597218i \(-0.203727\pi\)
\(212\) 8.20071 0.563227
\(213\) 9.37063 1.16242i 0.642065 0.0796479i
\(214\) 9.36140 2.50838i 0.639932 0.171469i
\(215\) −3.51045 3.51045i −0.239411 0.239411i
\(216\) −4.84403 + 1.88026i −0.329595 + 0.127935i
\(217\) −8.73749 0.928111i −0.593139 0.0630043i
\(218\) −1.35758 + 2.35140i −0.0919472 + 0.159257i
\(219\) 21.7182 2.69414i 1.46758 0.182053i
\(220\) 2.44550 1.41191i 0.164875 0.0951908i
\(221\) 1.06925 1.29910i 0.0719255 0.0873867i
\(222\) −9.08833 1.26574i −0.609969 0.0849506i
\(223\) 9.10841 2.44059i 0.609944 0.163434i 0.0593918 0.998235i \(-0.481084\pi\)
0.550552 + 0.834801i \(0.314417\pi\)
\(224\) −2.41820 + 1.07345i −0.161573 + 0.0717230i
\(225\) 3.90862 13.7603i 0.260575 0.917354i
\(226\) −2.51943 + 0.675079i −0.167590 + 0.0449056i
\(227\) 0.954576 + 3.56253i 0.0633575 + 0.236453i 0.990342 0.138646i \(-0.0442752\pi\)
−0.926984 + 0.375100i \(0.877608\pi\)
\(228\) −1.55493 2.05812i −0.102978 0.136302i
\(229\) 3.11877 + 11.6394i 0.206094 + 0.769154i 0.989113 + 0.147156i \(0.0470120\pi\)
−0.783019 + 0.621998i \(0.786321\pi\)
\(230\) −0.363030 + 0.209596i −0.0239375 + 0.0138203i
\(231\) −6.49892 + 26.0814i −0.427598 + 1.71603i
\(232\) −2.14526 8.00621i −0.140843 0.525633i
\(233\) −4.38097 + 7.58807i −0.287007 + 0.497111i −0.973094 0.230409i \(-0.925994\pi\)
0.686087 + 0.727520i \(0.259327\pi\)
\(234\) 10.1845 3.64375i 0.665779 0.238199i
\(235\) 1.48192 + 2.56676i 0.0966699 + 0.167437i
\(236\) 2.15766 + 0.578143i 0.140452 + 0.0376339i
\(237\) 2.13778 15.3499i 0.138864 0.997081i
\(238\) −0.998048 0.726811i −0.0646939 0.0471122i
\(239\) 4.62329 4.62329i 0.299056 0.299056i −0.541588 0.840644i \(-0.682177\pi\)
0.840644 + 0.541588i \(0.182177\pi\)
\(240\) −0.324860 + 0.767980i −0.0209696 + 0.0495729i
\(241\) 5.58642 + 20.8488i 0.359853 + 1.34299i 0.874266 + 0.485446i \(0.161343\pi\)
−0.514414 + 0.857542i \(0.671990\pi\)
\(242\) 6.05730 22.6062i 0.389378 1.45318i
\(243\) −5.42273 14.6149i −0.347868 0.937543i
\(244\) −7.03801 4.06340i −0.450563 0.260132i
\(245\) −1.82919 2.83038i −0.116863 0.180827i
\(246\) −2.32887 5.74354i −0.148483 0.366195i
\(247\) 3.12144 + 4.36912i 0.198612 + 0.278001i
\(248\) −2.87610 + 1.66052i −0.182633 + 0.105443i
\(249\) −10.1121 + 23.9055i −0.640831 + 1.51495i
\(250\) −2.35136 4.07268i −0.148713 0.257579i
\(251\) 5.29381 + 9.16914i 0.334142 + 0.578751i 0.983320 0.181886i \(-0.0582201\pi\)
−0.649177 + 0.760637i \(0.724887\pi\)
\(252\) −3.11146 7.30197i −0.196004 0.459981i
\(253\) −1.32183 + 4.93315i −0.0831029 + 0.310144i
\(254\) −15.1132 15.1132i −0.948286 0.948286i
\(255\) −0.386165 + 0.0479036i −0.0241826 + 0.00299984i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −14.7870 25.6119i −0.922389 1.59762i −0.795708 0.605680i \(-0.792901\pi\)
−0.126680 0.991944i \(-0.540432\pi\)
\(258\) 14.2510 10.7667i 0.887226 0.670308i
\(259\) 1.48054 13.9382i 0.0919965 0.866080i
\(260\) 0.718644 1.58008i 0.0445684 0.0979921i
\(261\) 24.1122 6.07572i 1.49251 0.376077i
\(262\) −11.7732 11.7732i −0.727350 0.727350i
\(263\) 7.88744i 0.486360i −0.969981 0.243180i \(-0.921809\pi\)
0.969981 0.243180i \(-0.0781906\pi\)
\(264\) 3.81747 + 9.41477i 0.234949 + 0.579439i
\(265\) 2.79171 + 2.79171i 0.171494 + 0.171494i
\(266\) 3.06486 2.47627i 0.187918 0.151830i
\(267\) −1.23710 9.97266i −0.0757096 0.610317i
\(268\) −1.66153 6.20090i −0.101494 0.378780i
\(269\) −25.7941 14.8922i −1.57269 0.907995i −0.995837 0.0911502i \(-0.970946\pi\)
−0.576857 0.816845i \(-0.695721\pi\)
\(270\) −2.28910 1.00894i −0.139310 0.0614020i
\(271\) 8.29732 + 2.22326i 0.504027 + 0.135054i 0.501868 0.864944i \(-0.332646\pi\)
0.00215844 + 0.999998i \(0.499313\pi\)
\(272\) −0.466653 −0.0282950
\(273\) 6.06934 + 15.3676i 0.367333 + 0.930089i
\(274\) 13.3355 0.805624
\(275\) −27.0148 7.23861i −1.62906 0.436504i
\(276\) −0.566697 1.39761i −0.0341112 0.0841262i
\(277\) −5.50324 3.17729i −0.330657 0.190905i 0.325476 0.945550i \(-0.394476\pi\)
−0.656133 + 0.754645i \(0.727809\pi\)
\(278\) 0.503347 + 1.87852i 0.0301888 + 0.112666i
\(279\) −4.85191 8.70187i −0.290477 0.520967i
\(280\) −1.18864 0.457784i −0.0710348 0.0273578i
\(281\) −0.464005 0.464005i −0.0276802 0.0276802i 0.693131 0.720811i \(-0.256231\pi\)
−0.720811 + 0.693131i \(0.756231\pi\)
\(282\) −9.88163 + 4.00677i −0.588442 + 0.238600i
\(283\) 19.4212i 1.15447i −0.816577 0.577236i \(-0.804131\pi\)
0.816577 0.577236i \(-0.195869\pi\)
\(284\) 3.85487 + 3.85487i 0.228744 + 0.228744i
\(285\) 0.171298 1.22997i 0.0101468 0.0728569i
\(286\) −7.42119 19.8034i −0.438824 1.17100i
\(287\) 8.65297 3.84110i 0.510768 0.226733i
\(288\) −2.57534 1.53870i −0.151754 0.0906688i
\(289\) 8.39112 + 14.5338i 0.493595 + 0.854932i
\(290\) 1.99520 3.45579i 0.117162 0.202931i
\(291\) −1.22503 9.87531i −0.0718125 0.578901i
\(292\) 8.93439 + 8.93439i 0.522846 + 0.522846i
\(293\) −3.42855 + 12.7955i −0.200298 + 0.747523i 0.790533 + 0.612419i \(0.209803\pi\)
−0.990831 + 0.135104i \(0.956863\pi\)
\(294\) 10.9933 5.11338i 0.641144 0.298218i
\(295\) 0.537703 + 0.931330i 0.0313063 + 0.0542241i
\(296\) −2.64890 4.58802i −0.153964 0.266673i
\(297\) −28.4125 + 11.0286i −1.64866 + 0.639942i
\(298\) −2.58840 + 1.49441i −0.149942 + 0.0865689i
\(299\) 1.10167 + 2.93978i 0.0637109 + 0.170012i
\(300\) 7.65357 3.10334i 0.441879 0.179172i
\(301\) 17.1463 + 21.2218i 0.988297 + 1.22321i
\(302\) −9.62539 5.55722i −0.553879 0.319782i
\(303\) 16.6053 6.73305i 0.953949 0.386804i
\(304\) 0.385448 1.43851i 0.0221070 0.0825044i
\(305\) −1.01263 3.77918i −0.0579829 0.216395i
\(306\) 0.0209442 1.39980i 0.00119730 0.0800214i
\(307\) −2.72810 + 2.72810i −0.155701 + 0.155701i −0.780659 0.624958i \(-0.785116\pi\)
0.624958 + 0.780659i \(0.285116\pi\)
\(308\) −14.1839 + 6.29629i −0.808201 + 0.358764i
\(309\) −8.46180 1.17848i −0.481375 0.0670413i
\(310\) −1.54437 0.413813i −0.0877144 0.0235030i
\(311\) 15.3393 + 26.5685i 0.869814 + 1.50656i 0.862187 + 0.506591i \(0.169094\pi\)
0.00762716 + 0.999971i \(0.497572\pi\)
\(312\) 5.27368 + 3.34490i 0.298563 + 0.189367i
\(313\) −9.21751 + 15.9652i −0.521005 + 0.902406i 0.478697 + 0.877980i \(0.341109\pi\)
−0.999702 + 0.0244263i \(0.992224\pi\)
\(314\) −1.27989 4.77663i −0.0722286 0.269561i
\(315\) 1.42655 3.54498i 0.0803768 0.199737i
\(316\) 7.74901 4.47389i 0.435916 0.251676i
\(317\) −7.97165 29.7506i −0.447733 1.67096i −0.708619 0.705592i \(-0.750681\pi\)
0.260886 0.965370i \(-0.415985\pi\)
\(318\) −11.3332 + 8.56234i −0.635534 + 0.480152i
\(319\) −12.5829 46.9601i −0.704508 2.62926i
\(320\) −0.465027 + 0.124604i −0.0259958 + 0.00696555i
\(321\) −10.3183 + 13.2407i −0.575909 + 0.739026i
\(322\) 2.10558 0.934676i 0.117339 0.0520874i
\(323\) 0.671286 0.179871i 0.0373514 0.0100083i
\(324\) 4.73117 7.65611i 0.262843 0.425339i
\(325\) −16.0988 + 6.03293i −0.893001 + 0.334647i
\(326\) 0.827894 0.477985i 0.0458528 0.0264731i
\(327\) −0.578944 4.66704i −0.0320157 0.258088i
\(328\) 1.78913 3.09887i 0.0987883 0.171106i
\(329\) −6.60851 14.8872i −0.364339 0.820759i
\(330\) −1.90545 + 4.50456i −0.104892 + 0.247968i
\(331\) −7.50800 7.50800i −0.412677 0.412677i 0.469993 0.882670i \(-0.344256\pi\)
−0.882670 + 0.469993i \(0.844256\pi\)
\(332\) −14.4752 + 3.87862i −0.794431 + 0.212867i
\(333\) 13.8814 7.73988i 0.760697 0.424143i
\(334\) 22.5491 1.23383
\(335\) 1.54531 2.67655i 0.0844292 0.146236i
\(336\) 2.22111 4.00832i 0.121172 0.218672i
\(337\) 17.3642i 0.945889i −0.881092 0.472944i \(-0.843191\pi\)
0.881092 0.472944i \(-0.156809\pi\)
\(338\) −10.7884 7.25325i −0.586813 0.394525i
\(339\) 2.77695 3.56347i 0.150823 0.193541i
\(340\) −0.158859 0.158859i −0.00861537 0.00861537i
\(341\) −16.8697 + 9.73971i −0.913544 + 0.527435i
\(342\) 4.29776 + 1.22078i 0.232396 + 0.0660122i
\(343\) 8.35326 + 16.5295i 0.451034 + 0.892507i
\(344\) 9.96064 + 2.66894i 0.537041 + 0.143900i
\(345\) 0.282862 0.668695i 0.0152288 0.0360014i
\(346\) 0.300225 + 0.0804451i 0.0161402 + 0.00432476i
\(347\) 0.170774 + 0.0985962i 0.00916761 + 0.00529292i 0.504577 0.863367i \(-0.331649\pi\)
−0.495409 + 0.868660i \(0.664982\pi\)
\(348\) 11.3240 + 8.82454i 0.607028 + 0.473045i
\(349\) 4.40329 + 16.4333i 0.235703 + 0.879654i 0.977831 + 0.209396i \(0.0671498\pi\)
−0.742128 + 0.670258i \(0.766184\pi\)
\(350\) 5.11846 + 11.5305i 0.273593 + 0.616333i
\(351\) −10.2703 + 15.6691i −0.548186 + 0.836357i
\(352\) −2.93273 + 5.07964i −0.156315 + 0.270746i
\(353\) −12.6102 + 12.6102i −0.671172 + 0.671172i −0.957986 0.286814i \(-0.907404\pi\)
0.286814 + 0.957986i \(0.407404\pi\)
\(354\) −3.58547 + 1.45382i −0.190566 + 0.0772699i
\(355\) 2.62457i 0.139298i
\(356\) 4.10253 4.10253i 0.217433 0.217433i
\(357\) 2.13814 0.0376228i 0.113162 0.00199121i
\(358\) −12.5575 3.36476i −0.663682 0.177833i
\(359\) 23.7385 6.36070i 1.25287 0.335705i 0.429424 0.903103i \(-0.358716\pi\)
0.823444 + 0.567398i \(0.192050\pi\)
\(360\) −0.352898 1.40052i −0.0185993 0.0738137i
\(361\) 16.7821i 0.883269i
\(362\) 5.22837 19.5125i 0.274797 1.02556i
\(363\) 15.2320 + 37.5656i 0.799471 + 1.97168i
\(364\) −4.84450 + 8.21772i −0.253921 + 0.430725i
\(365\) 6.08295i 0.318396i
\(366\) 13.9690 1.73284i 0.730169 0.0905772i
\(367\) 8.12370 0.424054 0.212027 0.977264i \(-0.431994\pi\)
0.212027 + 0.977264i \(0.431994\pi\)
\(368\) 0.435360 0.754065i 0.0226947 0.0393084i
\(369\) 9.21526 + 5.50588i 0.479728 + 0.286625i
\(370\) 0.660124 2.46362i 0.0343182 0.128077i
\(371\) −13.6357 16.8769i −0.707933 0.876202i
\(372\) 2.24097 5.29773i 0.116189 0.274675i
\(373\) 18.0911 0.936720 0.468360 0.883538i \(-0.344845\pi\)
0.468360 + 0.883538i \(0.344845\pi\)
\(374\) −2.73713 −0.141534
\(375\) 7.50181 + 3.17330i 0.387392 + 0.163869i
\(376\) −5.33153 3.07816i −0.274953 0.158744i
\(377\) −23.0744 18.9919i −1.18839 0.978131i
\(378\) 11.9239 + 6.84249i 0.613301 + 0.351940i
\(379\) −12.9182 + 3.46143i −0.663564 + 0.177802i −0.574854 0.818256i \(-0.694941\pi\)
−0.0887102 + 0.996057i \(0.528275\pi\)
\(380\) 0.620919 0.358488i 0.0318525 0.0183900i
\(381\) 36.6657 + 5.10645i 1.87844 + 0.261611i
\(382\) −6.95734 + 25.9652i −0.355969 + 1.32849i
\(383\) −11.1632 + 11.1632i −0.570412 + 0.570412i −0.932244 0.361831i \(-0.882152\pi\)
0.361831 + 0.932244i \(0.382152\pi\)
\(384\) −0.213226 1.71888i −0.0108811 0.0877160i
\(385\) −6.97192 2.68511i −0.355322 0.136846i
\(386\) 10.4425 6.02899i 0.531510 0.306868i
\(387\) −8.45299 + 29.7588i −0.429689 + 1.51272i
\(388\) 4.06248 4.06248i 0.206241 0.206241i
\(389\) −3.18974 5.52480i −0.161726 0.280118i 0.773762 0.633477i \(-0.218373\pi\)
−0.935488 + 0.353359i \(0.885040\pi\)
\(390\) 0.656602 + 2.93396i 0.0332483 + 0.148567i
\(391\) 0.406324 0.0205487
\(392\) 6.23001 + 3.19171i 0.314663 + 0.161206i
\(393\) 28.5626 + 3.97793i 1.44079 + 0.200660i
\(394\) 7.06248i 0.355802i
\(395\) 4.16096 + 1.11493i 0.209361 + 0.0560980i
\(396\) −15.1056 9.02519i −0.759084 0.453533i
\(397\) 13.7422 13.7422i 0.689701 0.689701i −0.272464 0.962166i \(-0.587839\pi\)
0.962166 + 0.272464i \(0.0878387\pi\)
\(398\) 12.6126 + 12.6126i 0.632211 + 0.632211i
\(399\) −1.65010 + 6.62215i −0.0826082 + 0.331522i
\(400\) 4.12940 + 2.38411i 0.206470 + 0.119206i
\(401\) −1.05138 + 3.92380i −0.0525034 + 0.195945i −0.987196 0.159512i \(-0.949008\pi\)
0.934693 + 0.355457i \(0.115675\pi\)
\(402\) 8.77053 + 6.83471i 0.437434 + 0.340884i
\(403\) −4.95739 + 10.8998i −0.246945 + 0.542956i
\(404\) 8.95921 + 5.17260i 0.445737 + 0.257346i
\(405\) 4.21692 0.995717i 0.209540 0.0494776i
\(406\) −12.9095 + 17.7272i −0.640689 + 0.879787i
\(407\) −15.5370 26.9109i −0.770140 1.33392i
\(408\) 0.644904 0.487231i 0.0319275 0.0241215i
\(409\) −24.6669 + 6.60947i −1.21970 + 0.326817i −0.810560 0.585655i \(-0.800837\pi\)
−0.409138 + 0.912472i \(0.634171\pi\)
\(410\) 1.66399 0.445864i 0.0821786 0.0220197i
\(411\) −18.4293 + 13.9235i −0.909050 + 0.686796i
\(412\) −2.46629 4.27173i −0.121505 0.210453i
\(413\) −2.39785 5.40171i −0.117990 0.265801i
\(414\) 2.24240 + 1.33978i 0.110208 + 0.0658464i
\(415\) −6.24808 3.60733i −0.306706 0.177077i
\(416\) 0.348282 + 3.58869i 0.0170759 + 0.175950i
\(417\) −2.65697 2.07053i −0.130112 0.101394i
\(418\) 2.26083 8.43754i 0.110581 0.412694i
\(419\) 18.9200 + 10.9234i 0.924301 + 0.533645i 0.885005 0.465582i \(-0.154155\pi\)
0.0392960 + 0.999228i \(0.487488\pi\)
\(420\) 2.12064 0.608408i 0.103477 0.0296873i
\(421\) −1.86668 1.86668i −0.0909765 0.0909765i 0.660154 0.751130i \(-0.270491\pi\)
−0.751130 + 0.660154i \(0.770491\pi\)
\(422\) −18.8632 + 18.8632i −0.918246 + 0.918246i
\(423\) 9.47273 15.8546i 0.460580 0.770879i
\(424\) −7.92128 2.12250i −0.384691 0.103078i
\(425\) 2.22511i 0.107933i
\(426\) −9.35219 1.30248i −0.453115 0.0631055i
\(427\) 3.34010 + 21.2405i 0.161639 + 1.02790i
\(428\) −9.69164 −0.468463
\(429\) 30.9325 + 19.6194i 1.49344 + 0.947231i
\(430\) 2.48226 + 4.29940i 0.119705 + 0.207336i
\(431\) −10.1928 + 10.1928i −0.490969 + 0.490969i −0.908611 0.417642i \(-0.862856\pi\)
0.417642 + 0.908611i \(0.362856\pi\)
\(432\) 5.16562 0.562460i 0.248531 0.0270614i
\(433\) −7.36962 + 4.25485i −0.354161 + 0.204475i −0.666516 0.745490i \(-0.732215\pi\)
0.312355 + 0.949965i \(0.398882\pi\)
\(434\) 8.19955 + 3.15791i 0.393591 + 0.151585i
\(435\) 0.850858 + 6.85901i 0.0407955 + 0.328865i
\(436\) 1.91991 1.91991i 0.0919472 0.0919472i
\(437\) −0.335617 + 1.25254i −0.0160548 + 0.0599172i
\(438\) −21.6755 3.01876i −1.03570 0.144242i
\(439\) −2.60010 + 1.50117i −0.124096 + 0.0716469i −0.560763 0.827976i \(-0.689492\pi\)
0.436667 + 0.899623i \(0.356159\pi\)
\(440\) −2.72760 + 0.730857i −0.130033 + 0.0348422i
\(441\) −9.85368 + 18.5447i −0.469223 + 0.883080i
\(442\) −1.36905 + 0.978089i −0.0651189 + 0.0465229i
\(443\) 0.930017 + 0.536946i 0.0441865 + 0.0255111i 0.521930 0.852988i \(-0.325212\pi\)
−0.477744 + 0.878499i \(0.658545\pi\)
\(444\) 8.45106 + 3.57484i 0.401069 + 0.169654i
\(445\) 2.79319 0.132410
\(446\) −9.42972 −0.446510
\(447\) 2.01679 4.76778i 0.0953911 0.225508i
\(448\) 2.61363 0.410998i 0.123483 0.0194179i
\(449\) −4.71841 + 17.6094i −0.222676 + 0.831037i 0.760647 + 0.649166i \(0.224882\pi\)
−0.983322 + 0.181871i \(0.941785\pi\)
\(450\) −7.33687 + 12.2798i −0.345863 + 0.578876i
\(451\) 10.4941 18.1763i 0.494147 0.855888i
\(452\) 2.60831 0.122684
\(453\) 19.1043 2.36989i 0.897600 0.111347i
\(454\) 3.68820i 0.173096i
\(455\) −4.44668 + 1.14832i −0.208464 + 0.0538342i
\(456\) 0.969266 + 2.39044i 0.0453901 + 0.111943i
\(457\) 5.59325 20.8743i 0.261641 0.976458i −0.702633 0.711552i \(-0.747992\pi\)
0.964274 0.264906i \(-0.0853409\pi\)
\(458\) 12.0500i 0.563060i
\(459\) 1.43258 + 1.95636i 0.0668673 + 0.0913152i
\(460\) 0.404908 0.108495i 0.0188789 0.00505859i
\(461\) 3.51205 + 0.941050i 0.163572 + 0.0438291i 0.339676 0.940543i \(-0.389683\pi\)
−0.176103 + 0.984372i \(0.556349\pi\)
\(462\) 13.0278 23.5107i 0.606110 1.09382i
\(463\) 11.6333 11.6333i 0.540645 0.540645i −0.383073 0.923718i \(-0.625134\pi\)
0.923718 + 0.383073i \(0.125134\pi\)
\(464\) 8.28864i 0.384790i
\(465\) 2.56635 1.04059i 0.119011 0.0482564i
\(466\) 6.19563 6.19563i 0.287007 0.287007i
\(467\) −18.1640 + 31.4610i −0.840532 + 1.45584i 0.0489144 + 0.998803i \(0.484424\pi\)
−0.889446 + 0.457040i \(0.848909\pi\)
\(468\) −10.7805 + 0.883661i −0.498329 + 0.0408473i
\(469\) −9.99859 + 13.7299i −0.461692 + 0.633990i
\(470\) −0.767099 2.86285i −0.0353836 0.132054i
\(471\) 6.75605 + 5.26486i 0.311302 + 0.242592i
\(472\) −1.93450 1.11689i −0.0890427 0.0514088i
\(473\) 58.4237 + 15.6546i 2.68633 + 0.719799i
\(474\) −6.03778 + 14.2735i −0.277324 + 0.655605i
\(475\) −6.85915 1.83790i −0.314720 0.0843289i
\(476\) 0.775928 + 0.960360i 0.0355646 + 0.0440180i
\(477\) 6.72231 23.6659i 0.307793 1.08359i
\(478\) −5.66235 + 3.26916i −0.258990 + 0.149528i
\(479\) −16.0904 16.0904i −0.735189 0.735189i 0.236454 0.971643i \(-0.424015\pi\)
−0.971643 + 0.236454i \(0.924015\pi\)
\(480\) 0.512558 0.657732i 0.0233950 0.0300212i
\(481\) −17.3876 7.90815i −0.792804 0.360580i
\(482\) 21.5843i 0.983136i
\(483\) −1.93397 + 3.49013i −0.0879985 + 0.158806i
\(484\) −11.7018 + 20.2681i −0.531901 + 0.921279i
\(485\) 2.76593 0.125594
\(486\) 1.45535 + 15.5204i 0.0660160 + 0.704018i
\(487\) 36.2351 9.70918i 1.64197 0.439965i 0.684622 0.728898i \(-0.259967\pi\)
0.957349 + 0.288933i \(0.0933006\pi\)
\(488\) 5.74651 + 5.74651i 0.260132 + 0.260132i
\(489\) −0.645068 + 1.52497i −0.0291710 + 0.0689614i
\(490\) 1.03431 + 3.20737i 0.0467252 + 0.144894i
\(491\) −3.62316 + 6.27551i −0.163511 + 0.283210i −0.936126 0.351666i \(-0.885615\pi\)
0.772614 + 0.634876i \(0.218949\pi\)
\(492\) 0.762979 + 6.15059i 0.0343977 + 0.277290i
\(493\) −3.34971 + 1.93396i −0.150864 + 0.0871011i
\(494\) −1.88426 5.02813i −0.0847770 0.226226i
\(495\) −2.06991 8.21467i −0.0930354 0.369222i
\(496\) 3.20788 0.859548i 0.144038 0.0385948i
\(497\) 1.52353 14.3429i 0.0683396 0.643367i
\(498\) 15.9548 20.4737i 0.714950 0.917449i
\(499\) −35.5389 + 9.52261i −1.59094 + 0.426291i −0.942290 0.334797i \(-0.891332\pi\)
−0.648649 + 0.761088i \(0.724665\pi\)
\(500\) 1.21716 + 4.54249i 0.0544328 + 0.203146i
\(501\) −31.1623 + 23.5434i −1.39223 + 1.05184i
\(502\) −2.74028 10.2269i −0.122305 0.456447i
\(503\) −0.459527 + 0.265308i −0.0204893 + 0.0118295i −0.510210 0.860050i \(-0.670432\pi\)
0.489720 + 0.871880i \(0.337099\pi\)
\(504\) 1.11555 + 7.85847i 0.0496907 + 0.350044i
\(505\) 1.28905 + 4.81079i 0.0573619 + 0.214078i
\(506\) 2.55359 4.42294i 0.113521 0.196624i
\(507\) 22.4825 1.24034i 0.998482 0.0550854i
\(508\) 10.6866 + 18.5098i 0.474143 + 0.821240i
\(509\) 38.2705 + 10.2545i 1.69631 + 0.454525i 0.972006 0.234956i \(-0.0754948\pi\)
0.724304 + 0.689481i \(0.242161\pi\)
\(510\) 0.385405 + 0.0536755i 0.0170660 + 0.00237679i
\(511\) 3.53107 33.2424i 0.156205 1.47056i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −7.21401 + 2.80019i −0.318507 + 0.123631i
\(514\) 7.65432 + 28.5663i 0.337618 + 1.26001i
\(515\) 0.614616 2.29378i 0.0270832 0.101076i
\(516\) −16.5520 + 6.71145i −0.728662 + 0.295455i
\(517\) −31.2719 18.0548i −1.37534 0.794050i
\(518\) −5.03757 + 13.0801i −0.221338 + 0.574707i
\(519\) −0.498897 + 0.202291i −0.0218992 + 0.00887959i
\(520\) −1.10311 + 1.34024i −0.0483746 + 0.0587733i
\(521\) 11.2528 6.49681i 0.492995 0.284631i −0.232821 0.972520i \(-0.574796\pi\)
0.725816 + 0.687889i \(0.241462\pi\)
\(522\) −24.8631 0.372008i −1.08823 0.0162824i
\(523\) 3.62564 + 6.27980i 0.158538 + 0.274597i 0.934342 0.356378i \(-0.115989\pi\)
−0.775803 + 0.630975i \(0.782655\pi\)
\(524\) 8.32490 + 14.4191i 0.363675 + 0.629903i
\(525\) −19.1126 10.5908i −0.834142 0.462219i
\(526\) −2.04142 + 7.61868i −0.0890101 + 0.332190i
\(527\) 1.09585 + 1.09585i 0.0477362 + 0.0477362i
\(528\) −1.25067 10.0820i −0.0544283 0.438763i
\(529\) 11.1209 19.2620i 0.483518 0.837478i
\(530\) −1.97404 3.41914i −0.0857468 0.148518i
\(531\) 3.43711 5.75273i 0.149158 0.249647i
\(532\) −3.60133 + 1.59865i −0.156137 + 0.0693102i
\(533\) −1.24624 12.8413i −0.0539808 0.556218i
\(534\) −1.38616 + 9.95303i −0.0599851 + 0.430710i
\(535\) −3.29926 3.29926i −0.142639 0.142639i
\(536\) 6.41964i 0.277286i
\(537\) 20.8673 8.46118i 0.900489 0.365127i
\(538\) 21.0608 + 21.0608i 0.907995 + 0.907995i
\(539\) 36.5419 + 18.7209i 1.57397 + 0.806364i
\(540\) 1.94997 + 1.56702i 0.0839134 + 0.0674339i
\(541\) 0.265584 + 0.991173i 0.0114184 + 0.0426139i 0.971400 0.237449i \(-0.0763113\pi\)
−0.959982 + 0.280063i \(0.909645\pi\)
\(542\) −7.43918 4.29501i −0.319540 0.184487i
\(543\) 13.1475 + 32.4248i 0.564213 + 1.39148i
\(544\) 0.450752 + 0.120779i 0.0193258 + 0.00517834i
\(545\) 1.30717 0.0559928
\(546\) −1.88511 16.4148i −0.0806752 0.702490i
\(547\) −23.9034 −1.02203 −0.511017 0.859570i \(-0.670731\pi\)
−0.511017 + 0.859570i \(0.670731\pi\)
\(548\) −12.8811 3.45147i −0.550251 0.147439i
\(549\) −17.4955 + 16.9797i −0.746691 + 0.724676i
\(550\) 24.2209 + 13.9839i 1.03278 + 0.596276i
\(551\) −3.19484 11.9233i −0.136105 0.507950i
\(552\) 0.185660 + 1.49666i 0.00790221 + 0.0637020i
\(553\) −22.0918 8.50829i −0.939441 0.361809i
\(554\) 4.49337 + 4.49337i 0.190905 + 0.190905i
\(555\) 1.65998 + 4.09389i 0.0704621 + 0.173776i
\(556\) 1.94478i 0.0824772i
\(557\) 18.1608 + 18.1608i 0.769496 + 0.769496i 0.978018 0.208521i \(-0.0668651\pi\)
−0.208521 + 0.978018i \(0.566865\pi\)
\(558\) 2.43438 + 9.66113i 0.103056 + 0.408988i
\(559\) 34.8161 13.0471i 1.47256 0.551834i
\(560\) 1.02965 + 0.749828i 0.0435109 + 0.0316860i
\(561\) 3.78266 2.85783i 0.159704 0.120658i
\(562\) 0.328101 + 0.568288i 0.0138401 + 0.0239718i
\(563\) 15.6871 27.1709i 0.661134 1.14512i −0.319185 0.947693i \(-0.603409\pi\)
0.980318 0.197424i \(-0.0632577\pi\)
\(564\) 10.5819 1.31269i 0.445580 0.0552741i
\(565\) 0.887928 + 0.887928i 0.0373554 + 0.0373554i
\(566\) −5.02658 + 18.7595i −0.211283 + 0.788519i
\(567\) −23.6228 + 2.99358i −0.992066 + 0.125719i
\(568\) −2.72580 4.72123i −0.114372 0.198098i
\(569\) −8.23451 14.2626i −0.345209 0.597919i 0.640183 0.768222i \(-0.278859\pi\)
−0.985392 + 0.170304i \(0.945525\pi\)
\(570\) −0.483800 + 1.14372i −0.0202641 + 0.0479052i
\(571\) 15.4274 8.90703i 0.645618 0.372748i −0.141157 0.989987i \(-0.545082\pi\)
0.786775 + 0.617239i \(0.211749\pi\)
\(572\) 2.04283 + 21.0493i 0.0854151 + 0.880116i
\(573\) −17.4953 43.1474i −0.730875 1.80251i
\(574\) −9.35227 + 1.47066i −0.390356 + 0.0613842i
\(575\) −3.59555 2.07589i −0.149945 0.0865707i
\(576\) 2.08935 + 2.15282i 0.0870561 + 0.0897008i
\(577\) 0.955437 3.56574i 0.0397754 0.148444i −0.943182 0.332276i \(-0.892184\pi\)
0.982958 + 0.183832i \(0.0588502\pi\)
\(578\) −4.34356 16.2104i −0.180668 0.674264i
\(579\) −8.13648 + 19.2349i −0.338140 + 0.799377i
\(580\) −2.82164 + 2.82164i −0.117162 + 0.117162i
\(581\) 32.0508 + 23.3404i 1.32969 + 0.968325i
\(582\) −1.37263 + 9.85588i −0.0568974 + 0.408539i
\(583\) −46.4620 12.4494i −1.92426 0.515603i
\(584\) −6.31757 10.9424i −0.261423 0.452798i
\(585\) −3.97075 3.36911i −0.164170 0.139296i
\(586\) 6.62345 11.4722i 0.273612 0.473911i
\(587\) −6.15789 22.9816i −0.254163 0.948551i −0.968554 0.248803i \(-0.919963\pi\)
0.714391 0.699747i \(-0.246704\pi\)
\(588\) −11.9422 + 2.09386i −0.492487 + 0.0863493i
\(589\) −4.28326 + 2.47294i −0.176489 + 0.101896i
\(590\) −0.278336 1.03876i −0.0114589 0.0427652i
\(591\) −7.37391 9.76018i −0.303322 0.401480i
\(592\) 1.37117 + 5.11728i 0.0563547 + 0.210319i
\(593\) 34.5896 9.26825i 1.42042 0.380601i 0.534789 0.844985i \(-0.320391\pi\)
0.885634 + 0.464384i \(0.153724\pi\)
\(594\) 30.2987 3.29909i 1.24317 0.135363i
\(595\) −0.0627848 + 0.591073i −0.00257392 + 0.0242316i
\(596\) 2.88698 0.773564i 0.118255 0.0316864i
\(597\) −30.5990 4.26154i −1.25234 0.174413i
\(598\) −0.303256 3.12474i −0.0124010 0.127780i
\(599\) 40.7319 23.5166i 1.66426 0.960862i 0.693617 0.720344i \(-0.256016\pi\)
0.970645 0.240517i \(-0.0773171\pi\)
\(600\) −8.19599 + 1.01671i −0.334600 + 0.0415070i
\(601\) −6.85225 + 11.8684i −0.279509 + 0.484124i −0.971263 0.238010i \(-0.923505\pi\)
0.691754 + 0.722134i \(0.256838\pi\)
\(602\) −11.0694 24.9365i −0.451157 1.01634i
\(603\) −19.2568 0.288125i −0.784197 0.0117333i
\(604\) 7.85910 + 7.85910i 0.319782 + 0.319782i
\(605\) −10.8833 + 2.91617i −0.442470 + 0.118559i
\(606\) −17.7821 + 2.20586i −0.722349 + 0.0896071i
\(607\) −15.1331 −0.614235 −0.307118 0.951672i \(-0.599365\pi\)
−0.307118 + 0.951672i \(0.599365\pi\)
\(608\) −0.744629 + 1.28974i −0.0301987 + 0.0523057i
\(609\) −0.668252 37.9774i −0.0270789 1.53892i
\(610\) 3.91249i 0.158412i
\(611\) −22.0931 + 2.14413i −0.893792 + 0.0867423i
\(612\) −0.382526 + 1.34668i −0.0154627 + 0.0544365i
\(613\) −15.3635 15.3635i −0.620526 0.620526i 0.325140 0.945666i \(-0.394589\pi\)
−0.945666 + 0.325140i \(0.894589\pi\)
\(614\) 3.34123 1.92906i 0.134841 0.0778506i
\(615\) −1.83407 + 2.35354i −0.0739568 + 0.0949039i
\(616\) 15.3302 2.41070i 0.617670 0.0971297i
\(617\) 15.3782 + 4.12058i 0.619104 + 0.165888i 0.554721 0.832037i \(-0.312825\pi\)
0.0643837 + 0.997925i \(0.479492\pi\)
\(618\) 7.86846 + 3.32840i 0.316516 + 0.133888i
\(619\) 5.66211 + 1.51716i 0.227579 + 0.0609797i 0.370807 0.928710i \(-0.379081\pi\)
−0.143227 + 0.989690i \(0.545748\pi\)
\(620\) 1.38465 + 0.799425i 0.0556087 + 0.0321057i
\(621\) −4.49781 + 0.489745i −0.180491 + 0.0196528i
\(622\) −7.94022 29.6333i −0.318374 1.18819i
\(623\) −15.2644 1.62141i −0.611554 0.0649604i
\(624\) −4.22826 4.59585i −0.169266 0.183981i
\(625\) 10.7885 18.6863i 0.431542 0.747452i
\(626\) 13.0355 13.0355i 0.521005 0.521005i
\(627\) 5.68519 + 14.0210i 0.227045 + 0.559946i
\(628\) 4.94513i 0.197332i
\(629\) −1.74813 + 1.74813i −0.0697026 + 0.0697026i
\(630\) −2.29545 + 3.05497i −0.0914527 + 0.121713i
\(631\) 37.1184 + 9.94585i 1.47766 + 0.395938i 0.905551 0.424238i \(-0.139458\pi\)
0.572111 + 0.820177i \(0.306125\pi\)
\(632\) −8.64290 + 2.31586i −0.343796 + 0.0921199i
\(633\) 6.37350 45.7635i 0.253324 1.81894i
\(634\) 30.8001i 1.22323i
\(635\) −2.66319 + 9.93915i −0.105685 + 0.394423i
\(636\) 13.1631 5.33734i 0.521952 0.211639i
\(637\) 24.9670 3.69418i 0.989230 0.146369i
\(638\) 48.6167i 1.92475i
\(639\) 14.2844 7.96459i 0.565084 0.315074i
\(640\) 0.481431 0.0190302
\(641\) −9.05950 + 15.6915i −0.357829 + 0.619778i −0.987598 0.157005i \(-0.949816\pi\)
0.629769 + 0.776782i \(0.283150\pi\)
\(642\) 13.3936 10.1190i 0.528604 0.399366i
\(643\) −3.36696 + 12.5657i −0.132780 + 0.495542i −0.999997 0.00238837i \(-0.999240\pi\)
0.867217 + 0.497930i \(0.165906\pi\)
\(644\) −2.27574 + 0.357864i −0.0896768 + 0.0141018i
\(645\) −7.91942 3.34995i −0.311827 0.131904i
\(646\) −0.694967 −0.0273431
\(647\) −42.8415 −1.68427 −0.842137 0.539263i \(-0.818703\pi\)
−0.842137 + 0.539263i \(0.818703\pi\)
\(648\) −6.55151 + 6.17072i −0.257368 + 0.242409i
\(649\) −11.3467 6.55105i −0.445399 0.257151i
\(650\) 17.1117 1.66068i 0.671175 0.0651374i
\(651\) −14.6288 + 4.19696i −0.573346 + 0.164492i
\(652\) −0.923396 + 0.247423i −0.0361630 + 0.00968984i
\(653\) −30.4930 + 17.6052i −1.19328 + 0.688943i −0.959050 0.283237i \(-0.908592\pi\)
−0.234235 + 0.972180i \(0.575258\pi\)
\(654\) −0.648701 + 4.65785i −0.0253662 + 0.182136i
\(655\) −2.07462 + 7.74260i −0.0810623 + 0.302528i
\(656\) −2.53022 + 2.53022i −0.0987883 + 0.0987883i
\(657\) 33.1069 18.4595i 1.29162 0.720173i
\(658\) 2.53024 + 16.0904i 0.0986389 + 0.627268i
\(659\) −16.8702 + 9.74000i −0.657168 + 0.379416i −0.791197 0.611561i \(-0.790542\pi\)
0.134029 + 0.990977i \(0.457209\pi\)
\(660\) 3.00639 3.85790i 0.117024 0.150169i
\(661\) 12.7988 12.7988i 0.497817 0.497817i −0.412941 0.910758i \(-0.635498\pi\)
0.910758 + 0.412941i \(0.135498\pi\)
\(662\) 5.30896 + 9.19538i 0.206338 + 0.357389i
\(663\) 0.870771 2.78111i 0.0338179 0.108009i
\(664\) 14.9859 0.581564
\(665\) −1.77019 0.681759i −0.0686451 0.0264375i
\(666\) −15.4116 + 3.88338i −0.597189 + 0.150478i
\(667\) 7.21708i 0.279446i
\(668\) −21.7807 5.83613i −0.842722 0.225807i
\(669\) 13.0317 9.84554i 0.503833 0.380651i
\(670\) −2.18540 + 2.18540i −0.0844292 + 0.0844292i
\(671\) 33.7059 + 33.7059i 1.30120 + 1.30120i
\(672\) −3.18286 + 3.29688i −0.122781 + 0.127180i
\(673\) −29.6917 17.1425i −1.14453 0.660795i −0.196982 0.980407i \(-0.563114\pi\)
−0.947548 + 0.319612i \(0.896447\pi\)
\(674\) −4.49419 + 16.7725i −0.173110 + 0.646054i
\(675\) −2.68194 24.6308i −0.103228 0.948041i
\(676\) 8.54355 + 9.79836i 0.328598 + 0.376860i
\(677\) −11.9245 6.88461i −0.458296 0.264597i 0.253032 0.967458i \(-0.418572\pi\)
−0.711327 + 0.702861i \(0.751906\pi\)
\(678\) −3.60462 + 2.72332i −0.138435 + 0.104589i
\(679\) −15.1154 1.60558i −0.580075 0.0616166i
\(680\) 0.112331 + 0.194562i 0.00430768 + 0.00746113i
\(681\) 3.85084 + 5.09701i 0.147564 + 0.195318i
\(682\) 18.8157 5.04164i 0.720489 0.193055i
\(683\) −24.5830 + 6.58699i −0.940642 + 0.252044i −0.696387 0.717667i \(-0.745210\pi\)
−0.244255 + 0.969711i \(0.578543\pi\)
\(684\) −3.83535 2.29152i −0.146648 0.0876186i
\(685\) −3.21005 5.55997i −0.122650 0.212436i
\(686\) −3.79050 18.1282i −0.144722 0.692138i
\(687\) 12.5814 + 16.6528i 0.480009 + 0.635345i
\(688\) −8.93046 5.15600i −0.340471 0.196571i
\(689\) −27.6878 + 10.3758i −1.05482 + 0.395288i
\(690\) −0.446294 + 0.572700i −0.0169901 + 0.0218023i
\(691\) −10.3093 + 38.4747i −0.392182 + 1.46364i 0.434344 + 0.900747i \(0.356980\pi\)
−0.826527 + 0.562898i \(0.809686\pi\)
\(692\) −0.269175 0.155408i −0.0102325 0.00590773i
\(693\) 6.54323 + 46.0935i 0.248557 + 1.75095i
\(694\) −0.139436 0.139436i −0.00529292 0.00529292i
\(695\) 0.662050 0.662050i 0.0251130 0.0251130i
\(696\) −8.65414 11.4547i −0.328034 0.434190i
\(697\) −1.61291 0.432178i −0.0610933 0.0163699i
\(698\) 17.0130i 0.643951i
\(699\) −2.09338 + 15.0311i −0.0791790 + 0.568527i
\(700\) −1.95973 12.4624i −0.0740709 0.471034i
\(701\) 2.29061 0.0865150 0.0432575 0.999064i \(-0.486226\pi\)
0.0432575 + 0.999064i \(0.486226\pi\)
\(702\) 13.9758 12.4771i 0.527482 0.470917i
\(703\) −3.94489 6.83275i −0.148784 0.257702i
\(704\) 4.14751 4.14751i 0.156315 0.156315i
\(705\) 4.04921 + 3.15547i 0.152502 + 0.118842i
\(706\) 15.4442 8.91674i 0.581252 0.335586i
\(707\) −4.25186 27.0386i −0.159908 1.01689i
\(708\) 3.83958 0.476298i 0.144300 0.0179004i
\(709\) −0.188568 + 0.188568i −0.00708183 + 0.00708183i −0.710639 0.703557i \(-0.751594\pi\)
0.703557 + 0.710639i \(0.251594\pi\)
\(710\) 0.679289 2.53514i 0.0254933 0.0951422i
\(711\) −6.55889 26.0297i −0.245978 0.976191i
\(712\) −5.02455 + 2.90092i −0.188303 + 0.108717i
\(713\) −2.79316 + 0.748425i −0.104605 + 0.0280287i
\(714\) −2.07502 0.517051i −0.0776558 0.0193501i
\(715\) −6.47025 + 7.86111i −0.241974 + 0.293989i
\(716\) 11.2587 + 6.50022i 0.420758 + 0.242925i
\(717\) 4.41192 10.4299i 0.164766 0.389513i
\(718\) −24.5759 −0.917163
\(719\) 37.9863 1.41665 0.708324 0.705887i \(-0.249451\pi\)
0.708324 + 0.705887i \(0.249451\pi\)
\(720\) −0.0216075 + 1.44413i −0.000805262 + 0.0538196i
\(721\) −4.69029 + 12.1784i −0.174676 + 0.453547i
\(722\) −4.34353 + 16.2103i −0.161649 + 0.603284i
\(723\) 22.5361 + 29.8290i 0.838125 + 1.10935i
\(724\) −10.1004 + 17.4945i −0.375380 + 0.650176i
\(725\) 39.5221 1.46781
\(726\) −4.99026 40.2279i −0.185206 1.49300i
\(727\) 27.5446i 1.02157i 0.859708 + 0.510786i \(0.170645\pi\)
−0.859708 + 0.510786i \(0.829355\pi\)
\(728\) 6.80633 6.68386i 0.252259 0.247720i
\(729\) −18.2160 19.9293i −0.674668 0.738121i
\(730\) 1.57438 5.87568i 0.0582705 0.217469i
\(731\) 4.81213i 0.177983i
\(732\) −13.9415 1.94163i −0.515291 0.0717648i
\(733\) 14.6262 3.91907i 0.540229 0.144754i 0.0216214 0.999766i \(-0.493117\pi\)
0.518608 + 0.855012i \(0.326450\pi\)
\(734\) −7.84689 2.10257i −0.289634 0.0776072i
\(735\) −4.77819 3.35260i −0.176246 0.123662i
\(736\) −0.615692 + 0.615692i −0.0226947 + 0.0226947i
\(737\) 37.6542i 1.38701i
\(738\) −7.47624 7.70336i −0.275204 0.283564i
\(739\) −29.3106 + 29.3106i −1.07821 + 1.07821i −0.0815369 + 0.996670i \(0.525983\pi\)
−0.996670 + 0.0815369i \(0.974017\pi\)
\(740\) −1.27526 + 2.20882i −0.0468795 + 0.0811977i
\(741\) 7.85387 + 4.98141i 0.288519 + 0.182997i
\(742\) 8.80307 + 19.8310i 0.323171 + 0.728018i
\(743\) 9.63013 + 35.9401i 0.353295 + 1.31852i 0.882616 + 0.470094i \(0.155780\pi\)
−0.529321 + 0.848422i \(0.677553\pi\)
\(744\) −3.53576 + 4.53721i −0.129627 + 0.166342i
\(745\) 1.24613 + 0.719456i 0.0456548 + 0.0263588i
\(746\) −17.4746 4.68231i −0.639792 0.171432i
\(747\) −0.672591 + 44.9525i −0.0246088 + 1.64473i
\(748\) 2.64387 + 0.708423i 0.0966694 + 0.0259025i
\(749\) 16.1148 + 19.9451i 0.588822 + 0.728780i
\(750\) −6.42488 5.00678i −0.234603 0.182822i
\(751\) 34.2982 19.8021i 1.25156 0.722588i 0.280141 0.959959i \(-0.409619\pi\)
0.971419 + 0.237371i \(0.0762855\pi\)
\(752\) 4.35317 + 4.35317i 0.158744 + 0.158744i
\(753\) 14.4648 + 11.2722i 0.527128 + 0.410780i
\(754\) 17.3727 + 24.3168i 0.632676 + 0.885567i
\(755\) 5.35084i 0.194737i
\(756\) −9.74667 9.69548i −0.354483 0.352621i
\(757\) −10.9136 + 18.9029i −0.396660 + 0.687036i −0.993312 0.115465i \(-0.963164\pi\)
0.596651 + 0.802501i \(0.296498\pi\)
\(758\) 13.3739 0.485763
\(759\) 1.08898 + 8.77859i 0.0395275 + 0.318643i
\(760\) −0.692545 + 0.185567i −0.0251213 + 0.00673122i
\(761\) 11.0547 + 11.0547i 0.400732 + 0.400732i 0.878491 0.477759i \(-0.158551\pi\)
−0.477759 + 0.878491i \(0.658551\pi\)
\(762\) −34.0947 14.4222i −1.23512 0.522463i
\(763\) −7.14347 0.758792i −0.258611 0.0274701i
\(764\) 13.4406 23.2797i 0.486262 0.842231i
\(765\) −0.588663 + 0.328222i −0.0212832 + 0.0118669i
\(766\) 13.6721 7.89356i 0.493991 0.285206i
\(767\) −8.01631 + 0.777981i −0.289452 + 0.0280913i
\(768\) −0.238917 + 1.71549i −0.00862119 + 0.0619025i
\(769\) 23.8156 6.38138i 0.858814 0.230119i 0.197569 0.980289i \(-0.436695\pi\)
0.661245 + 0.750170i \(0.270029\pi\)
\(770\) 6.03940 + 4.39809i 0.217645 + 0.158496i
\(771\) −40.4041 31.4861i −1.45512 1.13395i
\(772\) −11.6471 + 3.12084i −0.419189 + 0.112321i
\(773\) −4.84512 18.0822i −0.174267 0.650372i −0.996675 0.0814750i \(-0.974037\pi\)
0.822409 0.568897i \(-0.192630\pi\)
\(774\) 15.8671