Properties

Label 546.2.bu.a.197.2
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.2
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.60917 - 0.640767i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.11813 - 2.11813i) q^{5} +(1.03542 - 1.38849i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.17884 + 2.06220i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-1.60917 - 0.640767i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.11813 - 2.11813i) q^{5} +(1.03542 - 1.38849i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.17884 + 2.06220i) q^{9} +(2.59417 - 1.49774i) q^{10} +(-0.775667 - 0.207839i) q^{11} +(1.07320 + 1.35950i) q^{12} +(0.382979 - 3.58515i) q^{13} +1.00000i q^{14} +(2.05120 + 4.76565i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.86391 + 6.69249i) q^{17} +(-2.55586 + 1.57086i) q^{18} +(-0.311240 - 1.16156i) q^{19} +(0.775289 + 2.89342i) q^{20} +(-1.72018 - 0.202450i) q^{21} +(0.401515 - 0.695444i) q^{22} +(0.763097 + 1.32172i) q^{23} +(-1.59094 + 0.684763i) q^{24} +3.97293i q^{25} +(3.36387 + 1.29784i) q^{26} +(-2.18472 - 4.71455i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(-6.26395 + 3.61650i) q^{29} +(-5.13415 + 0.747863i) q^{30} +(-6.29751 + 6.29751i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(1.11500 + 0.831469i) q^{33} +(-5.46439 - 5.46439i) q^{34} +(-2.59417 - 1.49774i) q^{35} +(-0.855827 - 2.87534i) q^{36} +(-2.24532 + 8.37964i) q^{37} +1.20254 q^{38} +(-2.91352 + 5.52371i) q^{39} -2.99549 q^{40} +(0.512930 - 1.91428i) q^{41} +(0.640767 - 1.60917i) q^{42} +(6.83180 + 3.94434i) q^{43} +(0.567828 + 0.567828i) q^{44} +(-0.247050 - 8.98306i) q^{45} +(-1.47419 + 0.395008i) q^{46} +(0.633171 - 0.633171i) q^{47} +(-0.249663 - 1.71396i) q^{48} +(0.866025 - 0.500000i) q^{49} +(-3.83756 - 1.02827i) q^{50} +(10.5060 - 8.29347i) q^{51} +(-2.12425 + 2.91334i) q^{52} +6.60837i q^{53} +(5.11935 - 0.890064i) q^{54} +(1.20273 + 2.08319i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-0.243454 + 2.06858i) q^{57} +(-1.87204 - 6.98653i) q^{58} +(-2.31846 - 8.65262i) q^{59} +(0.606436 - 5.15277i) q^{60} +(0.00670528 - 0.0116139i) q^{61} +(-4.45301 - 7.71284i) q^{62} +(2.63833 + 1.42801i) q^{63} -1.00000i q^{64} +(-8.40501 + 6.78262i) q^{65} +(-1.09172 + 0.861808i) q^{66} +(-10.3878 - 2.78339i) q^{67} +(6.69249 - 3.86391i) q^{68} +(-0.381035 - 2.61584i) q^{69} +(2.11813 - 2.11813i) q^{70} +(13.8552 - 3.71249i) q^{71} +(2.99887 - 0.0824740i) q^{72} +(5.65127 + 5.65127i) q^{73} +(-7.51298 - 4.33762i) q^{74} +(2.54572 - 6.39311i) q^{75} +(-0.311240 + 1.16156i) q^{76} -0.803029 q^{77} +(-4.58142 - 4.24389i) q^{78} -5.16613 q^{79} +(0.775289 - 2.89342i) q^{80} +(0.494657 + 8.98640i) q^{81} +(1.71630 + 0.990904i) q^{82} +(-3.82533 - 3.82533i) q^{83} +(1.38849 + 1.03542i) q^{84} +(22.3598 - 5.99129i) q^{85} +(-5.57814 + 5.57814i) q^{86} +(12.3971 - 1.80581i) q^{87} +(-0.695444 + 0.401515i) q^{88} +(-6.45205 - 1.72882i) q^{89} +(8.74091 + 2.08636i) q^{90} +(-0.557977 - 3.56211i) q^{91} -1.52619i q^{92} +(14.1690 - 6.09851i) q^{93} +(0.447720 + 0.775473i) q^{94} +(-1.80109 + 3.11958i) q^{95} +(1.72018 + 0.202450i) q^{96} +(3.08877 + 11.5275i) q^{97} +(0.258819 + 0.965926i) q^{98} +(-1.26144 - 2.05243i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −1.60917 0.640767i −0.929053 0.369947i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −2.11813 2.11813i −0.947256 0.947256i 0.0514215 0.998677i \(-0.483625\pi\)
−0.998677 + 0.0514215i \(0.983625\pi\)
\(6\) 1.03542 1.38849i 0.422707 0.566850i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.17884 + 2.06220i 0.726279 + 0.687400i
\(10\) 2.59417 1.49774i 0.820347 0.473628i
\(11\) −0.775667 0.207839i −0.233872 0.0626659i 0.139979 0.990154i \(-0.455296\pi\)
−0.373852 + 0.927489i \(0.621963\pi\)
\(12\) 1.07320 + 1.35950i 0.309805 + 0.392455i
\(13\) 0.382979 3.58515i 0.106219 0.994343i
\(14\) 1.00000i 0.267261i
\(15\) 2.05120 + 4.76565i 0.529617 + 1.23048i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.86391 + 6.69249i −0.937136 + 1.62317i −0.166356 + 0.986066i \(0.553200\pi\)
−0.770780 + 0.637101i \(0.780133\pi\)
\(18\) −2.55586 + 1.57086i −0.602421 + 0.370255i
\(19\) −0.311240 1.16156i −0.0714033 0.266481i 0.920990 0.389585i \(-0.127382\pi\)
−0.992394 + 0.123104i \(0.960715\pi\)
\(20\) 0.775289 + 2.89342i 0.173360 + 0.646988i
\(21\) −1.72018 0.202450i −0.375374 0.0441782i
\(22\) 0.401515 0.695444i 0.0856032 0.148269i
\(23\) 0.763097 + 1.32172i 0.159117 + 0.275598i 0.934550 0.355831i \(-0.115802\pi\)
−0.775434 + 0.631429i \(0.782469\pi\)
\(24\) −1.59094 + 0.684763i −0.324750 + 0.139777i
\(25\) 3.97293i 0.794586i
\(26\) 3.36387 + 1.29784i 0.659709 + 0.254526i
\(27\) −2.18472 4.71455i −0.420450 0.907316i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) −6.26395 + 3.61650i −1.16319 + 0.671566i −0.952066 0.305894i \(-0.901045\pi\)
−0.211121 + 0.977460i \(0.567711\pi\)
\(30\) −5.13415 + 0.747863i −0.937363 + 0.136540i
\(31\) −6.29751 + 6.29751i −1.13107 + 1.13107i −0.141065 + 0.990000i \(0.545053\pi\)
−0.990000 + 0.141065i \(0.954947\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 1.11500 + 0.831469i 0.194097 + 0.144740i
\(34\) −5.46439 5.46439i −0.937136 0.937136i
\(35\) −2.59417 1.49774i −0.438494 0.253165i
\(36\) −0.855827 2.87534i −0.142638 0.479223i
\(37\) −2.24532 + 8.37964i −0.369128 + 1.37760i 0.492610 + 0.870250i \(0.336043\pi\)
−0.861738 + 0.507354i \(0.830624\pi\)
\(38\) 1.20254 0.195077
\(39\) −2.91352 + 5.52371i −0.466537 + 0.884502i
\(40\) −2.99549 −0.473628
\(41\) 0.512930 1.91428i 0.0801062 0.298960i −0.914236 0.405181i \(-0.867208\pi\)
0.994343 + 0.106221i \(0.0338751\pi\)
\(42\) 0.640767 1.60917i 0.0988724 0.248300i
\(43\) 6.83180 + 3.94434i 1.04184 + 0.601506i 0.920354 0.391087i \(-0.127901\pi\)
0.121486 + 0.992593i \(0.461234\pi\)
\(44\) 0.567828 + 0.567828i 0.0856032 + 0.0856032i
\(45\) −0.247050 8.98306i −0.0368280 1.33912i
\(46\) −1.47419 + 0.395008i −0.217357 + 0.0582407i
\(47\) 0.633171 0.633171i 0.0923575 0.0923575i −0.659419 0.751776i \(-0.729197\pi\)
0.751776 + 0.659419i \(0.229197\pi\)
\(48\) −0.249663 1.71396i −0.0360358 0.247389i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) −3.83756 1.02827i −0.542713 0.145419i
\(51\) 10.5060 8.29347i 1.47113 1.16132i
\(52\) −2.12425 + 2.91334i −0.294580 + 0.404008i
\(53\) 6.60837i 0.907729i 0.891071 + 0.453865i \(0.149955\pi\)
−0.891071 + 0.453865i \(0.850045\pi\)
\(54\) 5.11935 0.890064i 0.696656 0.121122i
\(55\) 1.20273 + 2.08319i 0.162176 + 0.280898i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) −0.243454 + 2.06858i −0.0322462 + 0.273990i
\(58\) −1.87204 6.98653i −0.245810 0.917377i
\(59\) −2.31846 8.65262i −0.301838 1.12648i −0.935633 0.352974i \(-0.885170\pi\)
0.633795 0.773501i \(-0.281496\pi\)
\(60\) 0.606436 5.15277i 0.0782905 0.665220i
\(61\) 0.00670528 0.0116139i 0.000858524 0.00148701i −0.865596 0.500743i \(-0.833060\pi\)
0.866454 + 0.499256i \(0.166393\pi\)
\(62\) −4.45301 7.71284i −0.565533 0.979532i
\(63\) 2.63833 + 1.42801i 0.332398 + 0.179912i
\(64\) 1.00000i 0.125000i
\(65\) −8.40501 + 6.78262i −1.04251 + 0.841280i
\(66\) −1.09172 + 0.861808i −0.134382 + 0.106081i
\(67\) −10.3878 2.78339i −1.26907 0.340045i −0.439393 0.898295i \(-0.644806\pi\)
−0.829673 + 0.558250i \(0.811473\pi\)
\(68\) 6.69249 3.86391i 0.811584 0.468568i
\(69\) −0.381035 2.61584i −0.0458712 0.314910i
\(70\) 2.11813 2.11813i 0.253165 0.253165i
\(71\) 13.8552 3.71249i 1.64431 0.440592i 0.686300 0.727319i \(-0.259234\pi\)
0.958012 + 0.286727i \(0.0925672\pi\)
\(72\) 2.99887 0.0824740i 0.353420 0.00971966i
\(73\) 5.65127 + 5.65127i 0.661432 + 0.661432i 0.955717 0.294286i \(-0.0950818\pi\)
−0.294286 + 0.955717i \(0.595082\pi\)
\(74\) −7.51298 4.33762i −0.873366 0.504238i
\(75\) 2.54572 6.39311i 0.293955 0.738213i
\(76\) −0.311240 + 1.16156i −0.0357017 + 0.133240i
\(77\) −0.803029 −0.0915137
\(78\) −4.58142 4.24389i −0.518744 0.480526i
\(79\) −5.16613 −0.581235 −0.290617 0.956839i \(-0.593861\pi\)
−0.290617 + 0.956839i \(0.593861\pi\)
\(80\) 0.775289 2.89342i 0.0866799 0.323494i
\(81\) 0.494657 + 8.98640i 0.0549619 + 0.998488i
\(82\) 1.71630 + 0.990904i 0.189533 + 0.109427i
\(83\) −3.82533 3.82533i −0.419885 0.419885i 0.465279 0.885164i \(-0.345954\pi\)
−0.885164 + 0.465279i \(0.845954\pi\)
\(84\) 1.38849 + 1.03542i 0.151497 + 0.112973i
\(85\) 22.3598 5.99129i 2.42526 0.649847i
\(86\) −5.57814 + 5.57814i −0.601506 + 0.601506i
\(87\) 12.3971 1.80581i 1.32911 0.193603i
\(88\) −0.695444 + 0.401515i −0.0741346 + 0.0428016i
\(89\) −6.45205 1.72882i −0.683916 0.183255i −0.0999008 0.994997i \(-0.531853\pi\)
−0.584015 + 0.811743i \(0.698519\pi\)
\(90\) 8.74091 + 2.08636i 0.921373 + 0.219921i
\(91\) −0.557977 3.56211i −0.0584919 0.373411i
\(92\) 1.52619i 0.159117i
\(93\) 14.1690 6.09851i 1.46925 0.632386i
\(94\) 0.447720 + 0.775473i 0.0461788 + 0.0799840i
\(95\) −1.80109 + 3.11958i −0.184788 + 0.320063i
\(96\) 1.72018 + 0.202450i 0.175565 + 0.0206625i
\(97\) 3.08877 + 11.5275i 0.313618 + 1.17044i 0.925270 + 0.379310i \(0.123839\pi\)
−0.611652 + 0.791127i \(0.709495\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) −1.26144 2.05243i −0.126780 0.206277i
\(100\) 1.98647 3.44066i 0.198647 0.344066i
\(101\) 3.32341 + 5.75632i 0.330692 + 0.572775i 0.982648 0.185482i \(-0.0593846\pi\)
−0.651956 + 0.758257i \(0.726051\pi\)
\(102\) 5.29172 + 12.2945i 0.523959 + 1.21734i
\(103\) 9.52991i 0.939010i 0.882930 + 0.469505i \(0.155568\pi\)
−0.882930 + 0.469505i \(0.844432\pi\)
\(104\) −2.26428 2.80589i −0.222031 0.275140i
\(105\) 3.21474 + 4.07237i 0.313727 + 0.397423i
\(106\) −6.38319 1.71037i −0.619991 0.166126i
\(107\) −10.8185 + 6.24605i −1.04586 + 0.603828i −0.921488 0.388407i \(-0.873025\pi\)
−0.124373 + 0.992236i \(0.539692\pi\)
\(108\) −0.465250 + 5.17528i −0.0447687 + 0.497992i
\(109\) −4.01576 + 4.01576i −0.384640 + 0.384640i −0.872771 0.488131i \(-0.837679\pi\)
0.488131 + 0.872771i \(0.337679\pi\)
\(110\) −2.32350 + 0.622580i −0.221537 + 0.0593606i
\(111\) 8.98248 12.0455i 0.852579 1.14331i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −9.09539 5.25123i −0.855623 0.493994i 0.00692137 0.999976i \(-0.497797\pi\)
−0.862544 + 0.505982i \(0.831130\pi\)
\(114\) −1.93508 0.770546i −0.181237 0.0721683i
\(115\) 1.18324 4.41591i 0.110338 0.411786i
\(116\) 7.23299 0.671566
\(117\) 8.22775 7.02169i 0.760656 0.649155i
\(118\) 8.95785 0.824637
\(119\) −2.00011 + 7.46450i −0.183350 + 0.684270i
\(120\) 4.82024 + 1.91941i 0.440025 + 0.175217i
\(121\) −8.96782 5.17757i −0.815256 0.470688i
\(122\) 0.00948270 + 0.00948270i 0.000858524 + 0.000858524i
\(123\) −2.05200 + 2.75173i −0.185022 + 0.248115i
\(124\) 8.60255 2.30505i 0.772532 0.206999i
\(125\) −2.17546 + 2.17546i −0.194579 + 0.194579i
\(126\) −2.06220 + 2.17884i −0.183715 + 0.194106i
\(127\) 2.77175 1.60027i 0.245953 0.142001i −0.371957 0.928250i \(-0.621313\pi\)
0.617910 + 0.786249i \(0.287980\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −8.46610 10.7247i −0.745399 0.944257i
\(130\) −4.37613 9.87409i −0.383812 0.866015i
\(131\) 22.0056i 1.92264i −0.275432 0.961320i \(-0.588821\pi\)
0.275432 0.961320i \(-0.411179\pi\)
\(132\) −0.549884 1.27757i −0.0478613 0.111199i
\(133\) −0.601269 1.04143i −0.0521366 0.0903033i
\(134\) 5.37710 9.31340i 0.464510 0.804556i
\(135\) −5.35850 + 14.6135i −0.461186 + 1.25773i
\(136\) 2.00011 + 7.46450i 0.171508 + 0.640076i
\(137\) 1.52102 + 5.67651i 0.129949 + 0.484977i 0.999968 0.00804199i \(-0.00255987\pi\)
−0.870018 + 0.493019i \(0.835893\pi\)
\(138\) 2.62532 + 0.308978i 0.223482 + 0.0263019i
\(139\) 7.08655 12.2743i 0.601074 1.04109i −0.391585 0.920142i \(-0.628073\pi\)
0.992659 0.120948i \(-0.0385935\pi\)
\(140\) 1.49774 + 2.59417i 0.126582 + 0.219247i
\(141\) −1.42459 + 0.613163i −0.119972 + 0.0516377i
\(142\) 14.3440i 1.20372i
\(143\) −1.04220 + 2.70129i −0.0871531 + 0.225893i
\(144\) −0.696500 + 2.91803i −0.0580417 + 0.243169i
\(145\) 20.9281 + 5.60765i 1.73798 + 0.465690i
\(146\) −6.92137 + 3.99605i −0.572817 + 0.330716i
\(147\) −1.71396 + 0.249663i −0.141365 + 0.0205919i
\(148\) 6.13432 6.13432i 0.504238 0.504238i
\(149\) 15.2232 4.07904i 1.24713 0.334168i 0.425905 0.904768i \(-0.359956\pi\)
0.821228 + 0.570600i \(0.193289\pi\)
\(150\) 5.51639 + 4.11364i 0.450411 + 0.335877i
\(151\) −5.36253 5.36253i −0.436397 0.436397i 0.454401 0.890797i \(-0.349853\pi\)
−0.890797 + 0.454401i \(0.849853\pi\)
\(152\) −1.04143 0.601269i −0.0844710 0.0487694i
\(153\) −22.2201 + 6.61368i −1.79639 + 0.534684i
\(154\) 0.207839 0.775667i 0.0167482 0.0625050i
\(155\) 26.6778 2.14282
\(156\) 5.28504 3.32691i 0.423142 0.266366i
\(157\) −20.8298 −1.66240 −0.831199 0.555975i \(-0.812345\pi\)
−0.831199 + 0.555975i \(0.812345\pi\)
\(158\) 1.33709 4.99010i 0.106373 0.396991i
\(159\) 4.23442 10.6340i 0.335811 0.843329i
\(160\) 2.59417 + 1.49774i 0.205087 + 0.118407i
\(161\) 1.07918 + 1.07918i 0.0850514 + 0.0850514i
\(162\) −8.80822 1.84805i −0.692039 0.145196i
\(163\) 8.74036 2.34197i 0.684597 0.183437i 0.100276 0.994960i \(-0.468027\pi\)
0.584321 + 0.811522i \(0.301361\pi\)
\(164\) −1.40135 + 1.40135i −0.109427 + 0.109427i
\(165\) −0.600556 4.12287i −0.0467532 0.320965i
\(166\) 4.68506 2.70492i 0.363631 0.209942i
\(167\) −5.43009 1.45499i −0.420193 0.112590i 0.0425261 0.999095i \(-0.486459\pi\)
−0.462719 + 0.886505i \(0.653126\pi\)
\(168\) −1.35950 + 1.07320i −0.104888 + 0.0827989i
\(169\) −12.7067 2.74607i −0.977435 0.211237i
\(170\) 23.1486i 1.77541i
\(171\) 1.71723 3.17269i 0.131320 0.242622i
\(172\) −3.94434 6.83180i −0.300753 0.520920i
\(173\) −4.96913 + 8.60679i −0.377796 + 0.654362i −0.990741 0.135763i \(-0.956651\pi\)
0.612945 + 0.790125i \(0.289985\pi\)
\(174\) −1.46432 + 12.4420i −0.111010 + 0.943228i
\(175\) 1.02827 + 3.83756i 0.0777299 + 0.290092i
\(176\) −0.207839 0.775667i −0.0156665 0.0584681i
\(177\) −1.81352 + 15.4091i −0.136312 + 1.15822i
\(178\) 3.33983 5.78475i 0.250331 0.433585i
\(179\) −2.41334 4.18002i −0.180381 0.312429i 0.761629 0.648013i \(-0.224400\pi\)
−0.942010 + 0.335584i \(0.891066\pi\)
\(180\) −4.27758 + 7.90308i −0.318832 + 0.589061i
\(181\) 23.6267i 1.75616i 0.478512 + 0.878081i \(0.341176\pi\)
−0.478512 + 0.878081i \(0.658824\pi\)
\(182\) 3.58515 + 0.382979i 0.265749 + 0.0283883i
\(183\) −0.0182317 + 0.0143922i −0.00134773 + 0.00106390i
\(184\) 1.47419 + 0.395008i 0.108679 + 0.0291204i
\(185\) 22.5050 12.9933i 1.65460 0.955285i
\(186\) 2.22351 + 15.2646i 0.163035 + 1.11925i
\(187\) 4.38807 4.38807i 0.320887 0.320887i
\(188\) −0.864928 + 0.231757i −0.0630814 + 0.0169026i
\(189\) −3.33050 3.98846i −0.242258 0.290118i
\(190\) −2.54713 2.54713i −0.184788 0.184788i
\(191\) −9.55622 5.51729i −0.691464 0.399217i 0.112696 0.993629i \(-0.464051\pi\)
−0.804160 + 0.594413i \(0.797385\pi\)
\(192\) −0.640767 + 1.60917i −0.0462433 + 0.116132i
\(193\) 5.43966 20.3011i 0.391555 1.46130i −0.436014 0.899940i \(-0.643610\pi\)
0.827569 0.561364i \(-0.189723\pi\)
\(194\) −11.9341 −0.856819
\(195\) 17.8711 5.52871i 1.27978 0.395919i
\(196\) −1.00000 −0.0714286
\(197\) 1.49755 5.58895i 0.106696 0.398196i −0.891836 0.452359i \(-0.850583\pi\)
0.998532 + 0.0541634i \(0.0172492\pi\)
\(198\) 2.30898 0.687255i 0.164092 0.0488411i
\(199\) −8.18349 4.72474i −0.580113 0.334928i 0.181066 0.983471i \(-0.442045\pi\)
−0.761178 + 0.648543i \(0.775379\pi\)
\(200\) 2.80929 + 2.80929i 0.198647 + 0.198647i
\(201\) 14.9321 + 11.1351i 1.05323 + 0.785407i
\(202\) −6.42034 + 1.72032i −0.451733 + 0.121042i
\(203\) −5.11450 + 5.11450i −0.358967 + 0.358967i
\(204\) −13.2452 + 1.92935i −0.927349 + 0.135082i
\(205\) −5.14114 + 2.96824i −0.359073 + 0.207311i
\(206\) −9.20519 2.46652i −0.641356 0.171851i
\(207\) −1.06299 + 4.45347i −0.0738832 + 0.309538i
\(208\) 3.29632 1.46091i 0.228559 0.101296i
\(209\) 0.965673i 0.0667970i
\(210\) −4.76565 + 2.05120i −0.328861 + 0.141546i
\(211\) −0.571022 0.989040i −0.0393108 0.0680883i 0.845701 0.533658i \(-0.179183\pi\)
−0.885011 + 0.465569i \(0.845850\pi\)
\(212\) 3.30418 5.72301i 0.226932 0.393058i
\(213\) −24.6742 2.90394i −1.69065 0.198974i
\(214\) −3.23319 12.0664i −0.221016 0.824845i
\(215\) −6.11601 22.8252i −0.417108 1.55667i
\(216\) −4.87852 1.78886i −0.331941 0.121716i
\(217\) −4.45301 + 7.71284i −0.302290 + 0.523582i
\(218\) −2.83957 4.91828i −0.192320 0.333108i
\(219\) −5.47270 12.7150i −0.369811 0.859199i
\(220\) 2.40546i 0.162176i
\(221\) 22.5138 + 16.4158i 1.51444 + 1.10425i
\(222\) 9.31023 + 11.7940i 0.624862 + 0.791563i
\(223\) −18.9668 5.08213i −1.27011 0.340325i −0.440037 0.897980i \(-0.645035\pi\)
−0.830073 + 0.557655i \(0.811701\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) −8.19298 + 8.65637i −0.546199 + 0.577091i
\(226\) 7.42636 7.42636i 0.493994 0.493994i
\(227\) 18.5147 4.96100i 1.22886 0.329273i 0.414727 0.909946i \(-0.363877\pi\)
0.814137 + 0.580672i \(0.197210\pi\)
\(228\) 1.24513 1.66972i 0.0824606 0.110580i
\(229\) 9.36553 + 9.36553i 0.618892 + 0.618892i 0.945247 0.326355i \(-0.105821\pi\)
−0.326355 + 0.945247i \(0.605821\pi\)
\(230\) 3.95920 + 2.28584i 0.261062 + 0.150724i
\(231\) 1.29221 + 0.514554i 0.0850211 + 0.0338552i
\(232\) −1.87204 + 6.98653i −0.122905 + 0.458688i
\(233\) −18.4253 −1.20708 −0.603542 0.797331i \(-0.706244\pi\)
−0.603542 + 0.797331i \(0.706244\pi\)
\(234\) 4.65293 + 9.76475i 0.304171 + 0.638341i
\(235\) −2.68228 −0.174972
\(236\) −2.31846 + 8.65262i −0.150919 + 0.563238i
\(237\) 8.31316 + 3.31028i 0.539998 + 0.215026i
\(238\) −6.69249 3.86391i −0.433810 0.250460i
\(239\) 4.47115 + 4.47115i 0.289215 + 0.289215i 0.836770 0.547555i \(-0.184441\pi\)
−0.547555 + 0.836770i \(0.684441\pi\)
\(240\) −3.10157 + 4.15921i −0.200206 + 0.268476i
\(241\) −5.88560 + 1.57704i −0.379125 + 0.101586i −0.443349 0.896349i \(-0.646210\pi\)
0.0642235 + 0.997936i \(0.479543\pi\)
\(242\) 7.32219 7.32219i 0.470688 0.470688i
\(243\) 4.96220 14.7776i 0.318325 0.947982i
\(244\) −0.0116139 + 0.00670528i −0.000743503 + 0.000429262i
\(245\) −2.89342 0.775289i −0.184854 0.0495314i
\(246\) −2.12687 2.69428i −0.135604 0.171781i
\(247\) −4.28358 + 0.670989i −0.272558 + 0.0426940i
\(248\) 8.90602i 0.565533i
\(249\) 3.70446 + 8.60675i 0.234760 + 0.545430i
\(250\) −1.53828 2.66439i −0.0972897 0.168511i
\(251\) −4.16999 + 7.22264i −0.263208 + 0.455889i −0.967092 0.254425i \(-0.918114\pi\)
0.703885 + 0.710314i \(0.251447\pi\)
\(252\) −1.57086 2.55586i −0.0989547 0.161004i
\(253\) −0.317203 1.18382i −0.0199424 0.0744260i
\(254\) 0.828360 + 3.09148i 0.0519760 + 0.193977i
\(255\) −39.8197 4.68643i −2.49361 0.293475i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 0.573552 + 0.993421i 0.0357772 + 0.0619679i 0.883360 0.468696i \(-0.155276\pi\)
−0.847582 + 0.530664i \(0.821943\pi\)
\(258\) 12.5504 5.40187i 0.781357 0.336306i
\(259\) 8.67524i 0.539053i
\(260\) 10.6703 1.67141i 0.661742 0.103657i
\(261\) −21.1061 5.03778i −1.30643 0.311831i
\(262\) 21.2558 + 5.69548i 1.31319 + 0.351868i
\(263\) −5.51609 + 3.18471i −0.340137 + 0.196378i −0.660332 0.750973i \(-0.729585\pi\)
0.320196 + 0.947351i \(0.396251\pi\)
\(264\) 1.37636 0.200487i 0.0847093 0.0123391i
\(265\) 13.9974 13.9974i 0.859852 0.859852i
\(266\) 1.16156 0.311240i 0.0712200 0.0190833i
\(267\) 9.27466 + 6.91622i 0.567600 + 0.423266i
\(268\) 7.60436 + 7.60436i 0.464510 + 0.464510i
\(269\) −7.34111 4.23839i −0.447595 0.258419i 0.259219 0.965819i \(-0.416535\pi\)
−0.706814 + 0.707399i \(0.749868\pi\)
\(270\) −12.7287 8.95818i −0.774645 0.545177i
\(271\) 3.14615 11.7416i 0.191115 0.713250i −0.802124 0.597158i \(-0.796297\pi\)
0.993238 0.116092i \(-0.0370368\pi\)
\(272\) −7.72782 −0.468568
\(273\) −1.38461 + 6.08957i −0.0838001 + 0.368558i
\(274\) −5.87676 −0.355028
\(275\) 0.825731 3.08167i 0.0497935 0.185832i
\(276\) −0.977934 + 2.45590i −0.0588647 + 0.147828i
\(277\) −9.04489 5.22207i −0.543455 0.313764i 0.203023 0.979174i \(-0.434923\pi\)
−0.746478 + 0.665410i \(0.768257\pi\)
\(278\) 10.0219 + 10.0219i 0.601074 + 0.601074i
\(279\) −26.7080 + 0.734515i −1.59896 + 0.0439743i
\(280\) −2.89342 + 0.775289i −0.172915 + 0.0463324i
\(281\) −11.2938 + 11.2938i −0.673733 + 0.673733i −0.958575 0.284842i \(-0.908059\pi\)
0.284842 + 0.958575i \(0.408059\pi\)
\(282\) −0.223558 1.53475i −0.0133127 0.0913930i
\(283\) −22.6706 + 13.0889i −1.34763 + 0.778055i −0.987913 0.155007i \(-0.950460\pi\)
−0.359717 + 0.933062i \(0.617127\pi\)
\(284\) −13.8552 3.71249i −0.822156 0.220296i
\(285\) 4.89718 3.86585i 0.290084 0.228993i
\(286\) −2.33950 1.70583i −0.138338 0.100868i
\(287\) 1.98181i 0.116982i
\(288\) −2.63833 1.42801i −0.155465 0.0841462i
\(289\) −21.3596 36.9959i −1.25645 2.17623i
\(290\) −10.8332 + 18.7636i −0.636145 + 1.10184i
\(291\) 2.41606 20.5288i 0.141632 1.20342i
\(292\) −2.06851 7.71978i −0.121050 0.451766i
\(293\) −3.61206 13.4804i −0.211019 0.787533i −0.987530 0.157430i \(-0.949679\pi\)
0.776511 0.630103i \(-0.216988\pi\)
\(294\) 0.202450 1.72018i 0.0118071 0.100323i
\(295\) −13.4166 + 23.2382i −0.781142 + 1.35298i
\(296\) 4.33762 + 7.51298i 0.252119 + 0.436683i
\(297\) 0.714748 + 4.11099i 0.0414739 + 0.238544i
\(298\) 15.7602i 0.912965i
\(299\) 5.03083 2.22963i 0.290940 0.128943i
\(300\) −5.40121 + 4.26373i −0.311839 + 0.246167i
\(301\) 7.61988 + 2.04174i 0.439203 + 0.117684i
\(302\) 6.56774 3.79188i 0.377931 0.218198i
\(303\) −1.65947 11.3924i −0.0953340 0.654477i
\(304\) 0.850323 0.850323i 0.0487694 0.0487694i
\(305\) −0.0388024 + 0.0103971i −0.00222182 + 0.000595334i
\(306\) −0.637345 23.1747i −0.0364346 1.32481i
\(307\) 9.05977 + 9.05977i 0.517068 + 0.517068i 0.916683 0.399615i \(-0.130856\pi\)
−0.399615 + 0.916683i \(0.630856\pi\)
\(308\) 0.695444 + 0.401515i 0.0396266 + 0.0228784i
\(309\) 6.10645 15.3352i 0.347384 0.872390i
\(310\) −6.90474 + 25.7688i −0.392163 + 1.46357i
\(311\) 12.2345 0.693756 0.346878 0.937910i \(-0.387242\pi\)
0.346878 + 0.937910i \(0.387242\pi\)
\(312\) 1.84568 + 5.96603i 0.104491 + 0.337760i
\(313\) −14.4095 −0.814473 −0.407236 0.913323i \(-0.633508\pi\)
−0.407236 + 0.913323i \(0.633508\pi\)
\(314\) 5.39115 20.1200i 0.304240 1.13544i
\(315\) −2.56362 8.61303i −0.144444 0.485289i
\(316\) 4.47400 + 2.58306i 0.251682 + 0.145309i
\(317\) 12.7428 + 12.7428i 0.715710 + 0.715710i 0.967724 0.252014i \(-0.0810929\pi\)
−0.252014 + 0.967724i \(0.581093\pi\)
\(318\) 9.17568 + 6.84241i 0.514546 + 0.383703i
\(319\) 5.61039 1.50330i 0.314122 0.0841686i
\(320\) −2.11813 + 2.11813i −0.118407 + 0.118407i
\(321\) 21.4110 3.11882i 1.19504 0.174075i
\(322\) −1.32172 + 0.763097i −0.0736567 + 0.0425257i
\(323\) 8.97635 + 2.40521i 0.499457 + 0.133829i
\(324\) 4.06481 8.02978i 0.225823 0.446099i
\(325\) 14.2436 + 1.52155i 0.790091 + 0.0844003i
\(326\) 9.04868i 0.501160i
\(327\) 9.03519 3.88886i 0.499647 0.215055i
\(328\) −0.990904 1.71630i −0.0547135 0.0947666i
\(329\) 0.447720 0.775473i 0.0246836 0.0427532i
\(330\) 4.13783 + 0.486986i 0.227780 + 0.0268077i
\(331\) −7.36239 27.4768i −0.404674 1.51026i −0.804657 0.593740i \(-0.797651\pi\)
0.399983 0.916523i \(-0.369016\pi\)
\(332\) 1.40017 + 5.22550i 0.0768443 + 0.286787i
\(333\) −22.1727 + 13.6276i −1.21506 + 0.746786i
\(334\) 2.81082 4.86848i 0.153801 0.266392i
\(335\) 16.1070 + 27.8982i 0.880020 + 1.52424i
\(336\) −0.684763 1.59094i −0.0373569 0.0867931i
\(337\) 23.3433i 1.27159i 0.771858 + 0.635795i \(0.219328\pi\)
−0.771858 + 0.635795i \(0.780672\pi\)
\(338\) 5.94123 11.5629i 0.323160 0.628942i
\(339\) 11.2712 + 14.2781i 0.612167 + 0.775481i
\(340\) −22.3598 5.99129i −1.21263 0.324923i
\(341\) 6.19364 3.57590i 0.335404 0.193646i
\(342\) 2.62013 + 2.47987i 0.141681 + 0.134096i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 7.61988 2.04174i 0.410837 0.110083i
\(345\) −4.73360 + 6.34776i −0.254848 + 0.341752i
\(346\) −7.02741 7.02741i −0.377796 0.377796i
\(347\) 10.1912 + 5.88391i 0.547094 + 0.315865i 0.747949 0.663756i \(-0.231039\pi\)
−0.200855 + 0.979621i \(0.564372\pi\)
\(348\) −11.6391 4.63466i −0.623921 0.248444i
\(349\) 1.29958 4.85008i 0.0695647 0.259619i −0.922381 0.386281i \(-0.873760\pi\)
0.991946 + 0.126662i \(0.0404263\pi\)
\(350\) −3.97293 −0.212362
\(351\) −17.7391 + 6.02699i −0.946843 + 0.321697i
\(352\) 0.803029 0.0428016
\(353\) 4.30376 16.0618i 0.229066 0.854885i −0.751669 0.659541i \(-0.770751\pi\)
0.980735 0.195345i \(-0.0625825\pi\)
\(354\) −14.4147 5.73989i −0.766132 0.305072i
\(355\) −37.2107 21.4836i −1.97494 1.14023i
\(356\) 4.72323 + 4.72323i 0.250331 + 0.250331i
\(357\) 8.00151 10.7300i 0.423485 0.567893i
\(358\) 4.66221 1.24923i 0.246405 0.0660241i
\(359\) −0.848325 + 0.848325i −0.0447729 + 0.0447729i −0.729139 0.684366i \(-0.760079\pi\)
0.684366 + 0.729139i \(0.260079\pi\)
\(360\) −6.52667 6.17729i −0.343986 0.325572i
\(361\) 15.2021 8.77695i 0.800112 0.461945i
\(362\) −22.8217 6.11505i −1.19948 0.321400i
\(363\) 11.1131 + 14.0779i 0.583287 + 0.738896i
\(364\) −1.29784 + 3.36387i −0.0680250 + 0.176315i
\(365\) 23.9402i 1.25309i
\(366\) −0.00918305 0.0213355i −0.000480006 0.00111522i
\(367\) 16.9129 + 29.2940i 0.882847 + 1.52914i 0.848161 + 0.529738i \(0.177710\pi\)
0.0346860 + 0.999398i \(0.488957\pi\)
\(368\) −0.763097 + 1.32172i −0.0397792 + 0.0688995i
\(369\) 5.06522 3.11314i 0.263685 0.162064i
\(370\) 6.72581 + 25.1011i 0.349658 + 1.30494i
\(371\) 1.71037 + 6.38319i 0.0887981 + 0.331399i
\(372\) −15.3199 1.80302i −0.794302 0.0934824i
\(373\) 0.325208 0.563277i 0.0168386 0.0291654i −0.857483 0.514512i \(-0.827973\pi\)
0.874322 + 0.485346i \(0.161307\pi\)
\(374\) 3.10283 + 5.37427i 0.160444 + 0.277897i
\(375\) 4.89465 2.10672i 0.252758 0.108791i
\(376\) 0.895440i 0.0461788i
\(377\) 10.5667 + 23.8423i 0.544214 + 1.22794i
\(378\) 4.71455 2.18472i 0.242490 0.112370i
\(379\) 0.830428 + 0.222512i 0.0426562 + 0.0114297i 0.280084 0.959975i \(-0.409638\pi\)
−0.237428 + 0.971405i \(0.576304\pi\)
\(380\) 3.11958 1.80109i 0.160031 0.0923941i
\(381\) −5.48560 + 0.799057i −0.281036 + 0.0409369i
\(382\) 7.80262 7.80262i 0.399217 0.399217i
\(383\) −11.8921 + 3.18647i −0.607657 + 0.162821i −0.549510 0.835487i \(-0.685186\pi\)
−0.0581463 + 0.998308i \(0.518519\pi\)
\(384\) −1.38849 1.03542i −0.0708563 0.0528384i
\(385\) 1.70092 + 1.70092i 0.0866869 + 0.0866869i
\(386\) 18.2015 + 10.5086i 0.926430 + 0.534874i
\(387\) 6.75135 + 22.6826i 0.343191 + 1.15302i
\(388\) 3.08877 11.5275i 0.156809 0.585218i
\(389\) −13.6987 −0.694553 −0.347277 0.937763i \(-0.612893\pi\)
−0.347277 + 0.937763i \(0.612893\pi\)
\(390\) 0.714934 + 18.6931i 0.0362021 + 0.946564i
\(391\) −11.7941 −0.596456
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) −14.1005 + 35.4107i −0.711275 + 1.78624i
\(394\) 5.01091 + 2.89305i 0.252446 + 0.145750i
\(395\) 10.9425 + 10.9425i 0.550578 + 0.550578i
\(396\) 0.0662291 + 2.40818i 0.00332814 + 0.121015i
\(397\) −21.8099 + 5.84393i −1.09461 + 0.293299i −0.760566 0.649261i \(-0.775078\pi\)
−0.334039 + 0.942559i \(0.608412\pi\)
\(398\) 6.68180 6.68180i 0.334928 0.334928i
\(399\) 0.300230 + 2.06111i 0.0150303 + 0.103184i
\(400\) −3.44066 + 1.98647i −0.172033 + 0.0993233i
\(401\) −0.673815 0.180548i −0.0336487 0.00901614i 0.241955 0.970287i \(-0.422211\pi\)
−0.275604 + 0.961271i \(0.588878\pi\)
\(402\) −14.6204 + 11.5414i −0.729197 + 0.575631i
\(403\) 20.1657 + 24.9893i 1.00453 + 1.24481i
\(404\) 6.64682i 0.330692i
\(405\) 17.9866 20.0821i 0.893761 0.997887i
\(406\) −3.61650 6.26395i −0.179484 0.310875i
\(407\) 3.48324 6.03314i 0.172658 0.299052i
\(408\) 1.56450 13.2932i 0.0774541 0.658113i
\(409\) 2.01720 + 7.52831i 0.0997443 + 0.372251i 0.997696 0.0678431i \(-0.0216117\pi\)
−0.897952 + 0.440094i \(0.854945\pi\)
\(410\) −1.53647 5.73420i −0.0758810 0.283192i
\(411\) 1.18975 10.1091i 0.0586860 0.498644i
\(412\) 4.76495 8.25314i 0.234752 0.406603i
\(413\) −4.47893 7.75773i −0.220394 0.381733i
\(414\) −4.02660 2.17942i −0.197897 0.107112i
\(415\) 16.2051i 0.795477i
\(416\) 0.557977 + 3.56211i 0.0273571 + 0.174647i
\(417\) −19.2684 + 15.2105i −0.943577 + 0.744863i
\(418\) −0.932769 0.249935i −0.0456232 0.0122247i
\(419\) −22.0212 + 12.7139i −1.07581 + 0.621117i −0.929762 0.368161i \(-0.879987\pi\)
−0.146044 + 0.989278i \(0.546654\pi\)
\(420\) −0.747863 5.13415i −0.0364920 0.250521i
\(421\) 22.1063 22.1063i 1.07740 1.07740i 0.0806540 0.996742i \(-0.474299\pi\)
0.996742 0.0806540i \(-0.0257009\pi\)
\(422\) 1.10313 0.295583i 0.0536996 0.0143888i
\(423\) 2.68530 0.0738505i 0.130564 0.00359073i
\(424\) 4.67282 + 4.67282i 0.226932 + 0.226932i
\(425\) −26.5888 15.3511i −1.28975 0.744635i
\(426\) 9.19114 23.0819i 0.445312 1.11832i
\(427\) 0.00347091 0.0129536i 0.000167969 0.000626869i
\(428\) 12.4921 0.603828
\(429\) 3.40797 3.67901i 0.164538 0.177625i
\(430\) 23.6304 1.13956
\(431\) −0.276568 + 1.03217i −0.0133218 + 0.0497177i −0.972267 0.233874i \(-0.924860\pi\)
0.958945 + 0.283592i \(0.0915262\pi\)
\(432\) 2.99056 4.24930i 0.143883 0.204445i
\(433\) 29.1431 + 16.8258i 1.40053 + 0.808594i 0.994446 0.105244i \(-0.0335623\pi\)
0.406080 + 0.913838i \(0.366896\pi\)
\(434\) −6.29751 6.29751i −0.302290 0.302290i
\(435\) −30.0835 22.4336i −1.44240 1.07561i
\(436\) 5.48563 1.46987i 0.262714 0.0703940i
\(437\) 1.29776 1.29776i 0.0620801 0.0620801i
\(438\) 13.6982 1.99534i 0.654524 0.0953409i
\(439\) 11.8832 6.86077i 0.567154 0.327447i −0.188858 0.982004i \(-0.560479\pi\)
0.756012 + 0.654558i \(0.227145\pi\)
\(440\) 2.32350 + 0.622580i 0.110768 + 0.0296803i
\(441\) 2.91803 + 0.696500i 0.138954 + 0.0331667i
\(442\) −21.6834 + 17.4979i −1.03138 + 0.832293i
\(443\) 24.4158i 1.16003i 0.814605 + 0.580016i \(0.196954\pi\)
−0.814605 + 0.580016i \(0.803046\pi\)
\(444\) −13.8018 + 5.94048i −0.655005 + 0.281923i
\(445\) 10.0044 + 17.3281i 0.474254 + 0.821433i
\(446\) 9.81793 17.0052i 0.464892 0.805217i
\(447\) −27.1104 3.19065i −1.28228 0.150913i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) −10.6685 39.8154i −0.503478 1.87901i −0.476121 0.879380i \(-0.657958\pi\)
−0.0273566 0.999626i \(-0.508709\pi\)
\(450\) −6.24091 10.1542i −0.294199 0.478676i
\(451\) −0.795725 + 1.37824i −0.0374692 + 0.0648986i
\(452\) 5.25123 + 9.09539i 0.246997 + 0.427811i
\(453\) 5.19308 + 12.0653i 0.243992 + 0.566879i
\(454\) 19.1678i 0.899592i
\(455\) −6.36315 + 8.72688i −0.298309 + 0.409123i
\(456\) 1.29056 + 1.63485i 0.0604360 + 0.0765591i
\(457\) 22.5211 + 6.03451i 1.05349 + 0.282282i 0.743694 0.668520i \(-0.233072\pi\)
0.309798 + 0.950802i \(0.399738\pi\)
\(458\) −11.4704 + 6.62243i −0.535976 + 0.309446i
\(459\) 39.9937 + 3.59537i 1.86674 + 0.167817i
\(460\) −3.23267 + 3.23267i −0.150724 + 0.150724i
\(461\) −10.7449 + 2.87910i −0.500442 + 0.134093i −0.500205 0.865907i \(-0.666742\pi\)
−0.000236808 1.00000i \(0.500075\pi\)
\(462\) −0.831469 + 1.11500i −0.0386835 + 0.0518745i
\(463\) 19.1983 + 19.1983i 0.892220 + 0.892220i 0.994732 0.102511i \(-0.0326878\pi\)
−0.102511 + 0.994732i \(0.532688\pi\)
\(464\) −6.26395 3.61650i −0.290797 0.167892i
\(465\) −42.9291 17.0943i −1.99079 0.792728i
\(466\) 4.76883 17.7975i 0.220912 0.824454i
\(467\) 39.0640 1.80767 0.903834 0.427884i \(-0.140741\pi\)
0.903834 + 0.427884i \(0.140741\pi\)
\(468\) −10.6363 + 1.96708i −0.491663 + 0.0909283i
\(469\) −10.7542 −0.496582
\(470\) 0.694224 2.59088i 0.0320222 0.119508i
\(471\) 33.5186 + 13.3470i 1.54446 + 0.614999i
\(472\) −7.75773 4.47893i −0.357078 0.206159i
\(473\) −4.47941 4.47941i −0.205964 0.205964i
\(474\) −5.34909 + 7.17314i −0.245692 + 0.329473i
\(475\) 4.61481 1.23653i 0.211742 0.0567361i
\(476\) 5.46439 5.46439i 0.250460 0.250460i
\(477\) −13.6278 + 14.3986i −0.623973 + 0.659265i
\(478\) −5.47602 + 3.16158i −0.250467 + 0.144607i
\(479\) −3.08029 0.825360i −0.140742 0.0377117i 0.187760 0.982215i \(-0.439877\pi\)
−0.328502 + 0.944503i \(0.606544\pi\)
\(480\) −3.21474 4.07237i −0.146732 0.185878i
\(481\) 29.1824 + 11.2590i 1.33060 + 0.513368i
\(482\) 6.09322i 0.277539i
\(483\) −1.04508 2.42809i −0.0475528 0.110482i
\(484\) 5.17757 + 8.96782i 0.235344 + 0.407628i
\(485\) 17.8742 30.9591i 0.811627 1.40578i
\(486\) 12.9897 + 8.61783i 0.589226 + 0.390913i
\(487\) 5.27083 + 19.6710i 0.238844 + 0.891379i 0.976378 + 0.216069i \(0.0693235\pi\)
−0.737534 + 0.675310i \(0.764010\pi\)
\(488\) −0.00347091 0.0129536i −0.000157121 0.000586383i
\(489\) −15.5653 1.83190i −0.703889 0.0828416i
\(490\) 1.49774 2.59417i 0.0676611 0.117192i
\(491\) 12.8308 + 22.2237i 0.579048 + 1.00294i 0.995589 + 0.0938234i \(0.0299089\pi\)
−0.416541 + 0.909117i \(0.636758\pi\)
\(492\) 3.15294 1.35707i 0.142146 0.0611814i
\(493\) 55.8953i 2.51740i
\(494\) 0.460546 4.31128i 0.0207210 0.193974i
\(495\) −1.67540 + 7.01921i −0.0753038 + 0.315490i
\(496\) −8.60255 2.30505i −0.386266 0.103500i
\(497\) 12.4222 7.17199i 0.557214 0.321708i
\(498\) −9.27226 + 1.35064i −0.415500 + 0.0605236i
\(499\) −1.14406 + 1.14406i −0.0512154 + 0.0512154i −0.732251 0.681035i \(-0.761530\pi\)
0.681035 + 0.732251i \(0.261530\pi\)
\(500\) 2.97174 0.796275i 0.132900 0.0356105i
\(501\) 7.80561 + 5.82074i 0.348729 + 0.260051i
\(502\) −5.89726 5.89726i −0.263208 0.263208i
\(503\) 21.3294 + 12.3145i 0.951029 + 0.549077i 0.893401 0.449261i \(-0.148313\pi\)
0.0576288 + 0.998338i \(0.481646\pi\)
\(504\) 2.87534 0.855827i 0.128078 0.0381216i
\(505\) 5.15321 19.2320i 0.229315 0.855814i
\(506\) 1.22558 0.0544836
\(507\) 18.6875 + 12.5609i 0.829943 + 0.557849i
\(508\) −3.20054 −0.142001
\(509\) −10.2628 + 38.3011i −0.454889 + 1.69767i 0.233527 + 0.972350i \(0.424973\pi\)
−0.688415 + 0.725317i \(0.741693\pi\)
\(510\) 14.8328 37.2499i 0.656809 1.64945i
\(511\) 6.92137 + 3.99605i 0.306183 + 0.176775i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −4.79627 + 4.00505i −0.211761 + 0.176827i
\(514\) −1.10802 + 0.296892i −0.0488725 + 0.0130954i
\(515\) 20.1856 20.1856i 0.889482 0.889482i
\(516\) 1.96952 + 13.5209i 0.0867031 + 0.595225i
\(517\) −0.622728 + 0.359532i −0.0273875 + 0.0158122i
\(518\) −8.37964 2.24532i −0.368180 0.0986536i
\(519\) 13.5111 10.6657i 0.593072 0.468173i
\(520\) −1.14721 + 10.7393i −0.0503084 + 0.470948i
\(521\) 25.7694i 1.12898i −0.825441 0.564489i \(-0.809073\pi\)
0.825441 0.564489i \(-0.190927\pi\)
\(522\) 10.3288 19.0830i 0.452078 0.835241i
\(523\) −13.2941 23.0260i −0.581309 1.00686i −0.995325 0.0965865i \(-0.969208\pi\)
0.414016 0.910270i \(-0.364126\pi\)
\(524\) −11.0028 + 19.0574i −0.480660 + 0.832528i
\(525\) 0.804319 6.83415i 0.0351034 0.298267i
\(526\) −1.64853 6.15240i −0.0718793 0.268257i
\(527\) −17.8130 66.4790i −0.775946 2.89587i
\(528\) −0.162573 + 1.38135i −0.00707509 + 0.0601157i
\(529\) 10.3354 17.9014i 0.449364 0.778321i
\(530\) 9.89763 + 17.1432i 0.429926 + 0.744653i
\(531\) 12.7919 23.6338i 0.555121 1.02562i
\(532\) 1.20254i 0.0521366i
\(533\) −6.66655 2.57206i −0.288760 0.111408i
\(534\) −9.08102 + 7.16858i −0.392974 + 0.310215i
\(535\) 36.1448 + 9.68498i 1.56268 + 0.418718i
\(536\) −9.31340 + 5.37710i −0.402278 + 0.232255i
\(537\) 1.20504 + 8.27274i 0.0520015 + 0.356995i
\(538\) 5.99399 5.99399i 0.258419 0.258419i
\(539\) −0.775667 + 0.207839i −0.0334103 + 0.00895227i
\(540\) 11.9474 9.97645i 0.514133 0.429318i
\(541\) −26.1615 26.1615i −1.12477 1.12477i −0.991015 0.133754i \(-0.957297\pi\)
−0.133754 0.991015i \(-0.542703\pi\)
\(542\) 10.5272 + 6.07789i 0.452183 + 0.261068i
\(543\) 15.1392 38.0194i 0.649686 1.63157i
\(544\) 2.00011 7.46450i 0.0857539 0.320038i
\(545\) 17.0118 0.728705
\(546\) −5.52371 2.91352i −0.236393 0.124687i
\(547\) −33.7268 −1.44205 −0.721027 0.692907i \(-0.756330\pi\)
−0.721027 + 0.692907i \(0.756330\pi\)
\(548\) 1.52102 5.67651i 0.0649746 0.242489i
\(549\) 0.0385599 0.0114771i 0.00164570 0.000489832i
\(550\) 2.76295 + 1.59519i 0.117813 + 0.0680191i
\(551\) 6.15038 + 6.15038i 0.262015 + 0.262015i
\(552\) −2.11911 1.58024i −0.0901953 0.0672597i
\(553\) −4.99010 + 1.33709i −0.212201 + 0.0568590i
\(554\) 7.38512 7.38512i 0.313764 0.313764i
\(555\) −44.5400 + 6.48789i −1.89062 + 0.275396i
\(556\) −12.2743 + 7.08655i −0.520545 + 0.300537i
\(557\) 7.52615 + 2.01663i 0.318893 + 0.0854472i 0.414715 0.909951i \(-0.363881\pi\)
−0.0958218 + 0.995399i \(0.530548\pi\)
\(558\) 6.20304 25.9880i 0.262596 1.10016i
\(559\) 16.7575 22.9825i 0.708767 0.972054i
\(560\) 2.99549i 0.126582i
\(561\) −9.87287 + 4.24941i −0.416833 + 0.179410i
\(562\) −7.98594 13.8321i −0.336867 0.583470i
\(563\) 6.11056 10.5838i 0.257530 0.446054i −0.708050 0.706162i \(-0.750425\pi\)
0.965579 + 0.260108i \(0.0837582\pi\)
\(564\) 1.54032 + 0.181282i 0.0648590 + 0.00763333i
\(565\) 8.14243 + 30.3880i 0.342555 + 1.27843i
\(566\) −6.77531 25.2858i −0.284788 1.06284i
\(567\) 2.80365 + 8.55217i 0.117742 + 0.359157i
\(568\) 7.17199 12.4222i 0.300930 0.521226i
\(569\) 12.3234 + 21.3448i 0.516625 + 0.894820i 0.999814 + 0.0193040i \(0.00614505\pi\)
−0.483189 + 0.875516i \(0.660522\pi\)
\(570\) 2.46664 + 5.73087i 0.103316 + 0.240040i
\(571\) 11.0541i 0.462599i 0.972883 + 0.231299i \(0.0742977\pi\)
−0.972883 + 0.231299i \(0.925702\pi\)
\(572\) 2.25321 1.81828i 0.0942116 0.0760262i
\(573\) 11.8423 + 15.0015i 0.494718 + 0.626698i
\(574\) 1.91428 + 0.512930i 0.0799005 + 0.0214093i
\(575\) −5.25111 + 3.03173i −0.218986 + 0.126432i
\(576\) 2.06220 2.17884i 0.0859250 0.0907849i
\(577\) 18.1401 18.1401i 0.755182 0.755182i −0.220260 0.975441i \(-0.570690\pi\)
0.975441 + 0.220260i \(0.0706905\pi\)
\(578\) 41.2636 11.0565i 1.71634 0.459892i
\(579\) −21.7616 + 29.1823i −0.904380 + 1.21277i
\(580\) −15.3204 15.3204i −0.636145 0.636145i
\(581\) −4.68506 2.70492i −0.194369 0.112219i
\(582\) 19.2040 + 7.64698i 0.796030 + 0.316977i
\(583\) 1.37348 5.12589i 0.0568837 0.212293i
\(584\) 7.99211 0.330716
\(585\) −32.3003 2.55461i −1.33545 0.105620i
\(586\) 13.9559 0.576514
\(587\) −4.46096 + 16.6485i −0.184123 + 0.687158i 0.810693 + 0.585471i \(0.199091\pi\)
−0.994816 + 0.101686i \(0.967576\pi\)
\(588\) 1.60917 + 0.640767i 0.0663609 + 0.0264248i
\(589\) 9.27498 + 5.35491i 0.382169 + 0.220645i
\(590\) −18.9739 18.9739i −0.781142 0.781142i
\(591\) −5.99102 + 8.03396i −0.246438 + 0.330473i
\(592\) −8.37964 + 2.24532i −0.344401 + 0.0922820i
\(593\) −15.8317 + 15.8317i −0.650131 + 0.650131i −0.953025 0.302893i \(-0.902047\pi\)
0.302893 + 0.953025i \(0.402047\pi\)
\(594\) −4.15590 0.373609i −0.170519 0.0153294i
\(595\) 20.0473 11.5743i 0.821857 0.474500i
\(596\) −15.2232 4.07904i −0.623567 0.167084i
\(597\) 10.1412 + 12.8466i 0.415050 + 0.525777i
\(598\) 0.851581 + 5.43648i 0.0348237 + 0.222314i
\(599\) 13.0890i 0.534803i −0.963585 0.267401i \(-0.913835\pi\)
0.963585 0.267401i \(-0.0861650\pi\)
\(600\) −2.72051 6.32071i −0.111065 0.258042i
\(601\) −3.74799 6.49171i −0.152884 0.264802i 0.779403 0.626523i \(-0.215523\pi\)
−0.932286 + 0.361721i \(0.882189\pi\)
\(602\) −3.94434 + 6.83180i −0.160759 + 0.278443i
\(603\) −16.8933 27.4862i −0.687949 1.11932i
\(604\) 1.96282 + 7.32536i 0.0798662 + 0.298065i
\(605\) 8.02822 + 29.9617i 0.326394 + 1.21812i
\(606\) 11.4337 + 1.34565i 0.464463 + 0.0546632i
\(607\) −15.9295 + 27.5906i −0.646557 + 1.11987i 0.337383 + 0.941368i \(0.390458\pi\)
−0.983940 + 0.178502i \(0.942875\pi\)
\(608\) 0.601269 + 1.04143i 0.0243847 + 0.0422355i
\(609\) 11.5073 4.95288i 0.466298 0.200701i
\(610\) 0.0401712i 0.00162648i
\(611\) −2.02753 2.51251i −0.0820249 0.101645i
\(612\) 22.5500 + 5.38243i 0.911530 + 0.217572i
\(613\) −23.9059 6.40558i −0.965552 0.258719i −0.258603 0.965984i \(-0.583262\pi\)
−0.706949 + 0.707265i \(0.749929\pi\)
\(614\) −11.0959 + 6.40622i −0.447794 + 0.258534i
\(615\) 10.1749 1.48212i 0.410292 0.0597649i
\(616\) −0.567828 + 0.567828i −0.0228784 + 0.0228784i
\(617\) 39.9911 10.7156i 1.60998 0.431393i 0.661945 0.749553i \(-0.269731\pi\)
0.948037 + 0.318159i \(0.103065\pi\)
\(618\) 13.2322 + 9.86742i 0.532278 + 0.396926i
\(619\) −31.0193 31.0193i −1.24677 1.24677i −0.957138 0.289633i \(-0.906467\pi\)
−0.289633 0.957138i \(-0.593533\pi\)
\(620\) −23.1037 13.3389i −0.927867 0.535704i
\(621\) 4.56417 6.48525i 0.183154 0.260244i
\(622\) −3.16653 + 11.8176i −0.126966 + 0.473844i
\(623\) −6.67966 −0.267615
\(624\) −6.24044 + 0.238670i −0.249817 + 0.00955446i
\(625\) 29.0805 1.16322
\(626\) 3.72945 13.9185i 0.149059 0.556295i
\(627\) 0.618771 1.55393i 0.0247113 0.0620580i
\(628\) 18.0391 + 10.4149i 0.719840 + 0.415600i
\(629\) −47.4049 47.4049i −1.89016 1.89016i
\(630\) 8.98306 0.247050i 0.357894 0.00984270i
\(631\) −17.1988 + 4.60841i −0.684675 + 0.183458i −0.584356 0.811497i \(-0.698653\pi\)
−0.100319 + 0.994955i \(0.531986\pi\)
\(632\) −3.65301 + 3.65301i −0.145309 + 0.145309i
\(633\) 0.285127 + 1.95742i 0.0113328 + 0.0778006i
\(634\) −15.6067 + 9.01055i −0.619823 + 0.357855i
\(635\) −9.26049 2.48134i −0.367491 0.0984690i
\(636\) −8.98410 + 7.09208i −0.356243 + 0.281219i
\(637\) −1.46091 3.29632i −0.0578833 0.130605i
\(638\) 5.80830i 0.229953i
\(639\) 37.8442 + 20.4833i 1.49709 + 0.810308i
\(640\) −1.49774 2.59417i −0.0592035 0.102543i
\(641\) −1.92765 + 3.33879i −0.0761376 + 0.131874i −0.901580 0.432612i \(-0.857592\pi\)
0.825443 + 0.564486i \(0.190925\pi\)
\(642\) −2.52902 + 21.4886i −0.0998126 + 0.848089i
\(643\) 5.47355 + 20.4276i 0.215856 + 0.805584i 0.985864 + 0.167550i \(0.0535855\pi\)
−0.770008 + 0.638034i \(0.779748\pi\)
\(644\) −0.395008 1.47419i −0.0155655 0.0580912i
\(645\) −4.78398 + 40.6486i −0.188369 + 1.60054i
\(646\) −4.64650 + 8.04797i −0.182814 + 0.316643i
\(647\) −12.9944 22.5069i −0.510862 0.884839i −0.999921 0.0125879i \(-0.995993\pi\)
0.489059 0.872251i \(-0.337340\pi\)
\(648\) 6.70412 + 6.00457i 0.263363 + 0.235882i
\(649\) 7.19342i 0.282366i
\(650\) −5.15621 + 13.3644i −0.202243 + 0.524196i
\(651\) 12.1078 9.55791i 0.474541 0.374604i
\(652\) −8.74036 2.34197i −0.342299 0.0917187i
\(653\) −3.53174 + 2.03905i −0.138208 + 0.0797942i −0.567509 0.823367i \(-0.692093\pi\)
0.429302 + 0.903161i \(0.358760\pi\)
\(654\) 1.41787 + 9.73384i 0.0554433 + 0.380623i
\(655\) −46.6107 + 46.6107i −1.82123 + 1.82123i
\(656\) 1.91428 0.512930i 0.0747401 0.0200265i
\(657\) 0.659141 + 23.9673i 0.0257156 + 0.935052i
\(658\) 0.633171 + 0.633171i 0.0246836 + 0.0246836i
\(659\) −2.64777 1.52869i −0.103143 0.0595494i 0.447541 0.894263i \(-0.352300\pi\)
−0.550684 + 0.834714i \(0.685633\pi\)
\(660\) −1.54134 + 3.87079i −0.0599966 + 0.150670i
\(661\) −2.84066 + 10.6015i −0.110489 + 0.412350i −0.998910 0.0466796i \(-0.985136\pi\)
0.888421 + 0.459029i \(0.151803\pi\)
\(662\) 28.4461 1.10559
\(663\) −25.7098 40.8418i −0.998485 1.58617i
\(664\) −5.40984 −0.209942
\(665\) −0.932314 + 3.47944i −0.0361536 + 0.134927i
\(666\) −7.42451 24.9442i −0.287694 0.966569i
\(667\) −9.56000 5.51947i −0.370165 0.213715i
\(668\) 3.97510 + 3.97510i 0.153801 + 0.153801i
\(669\) 27.2643 + 20.3313i 1.05410 + 0.786053i
\(670\) −31.1164 + 8.33760i −1.20213 + 0.322110i
\(671\) −0.00761489 + 0.00761489i −0.000293970 + 0.000293970i
\(672\) 1.71396 0.249663i 0.0661175 0.00963097i
\(673\) −15.2367 + 8.79689i −0.587330 + 0.339095i −0.764041 0.645168i \(-0.776788\pi\)
0.176711 + 0.984263i \(0.443454\pi\)
\(674\) −22.5479 6.04169i −0.868512 0.232717i
\(675\) 18.7306 8.67975i 0.720941 0.334084i
\(676\) 9.63125 + 8.73150i 0.370433 + 0.335827i
\(677\) 26.2049i 1.00713i 0.863956 + 0.503567i \(0.167979\pi\)
−0.863956 + 0.503567i \(0.832021\pi\)
\(678\) −16.7088 + 7.19169i −0.641698 + 0.276195i
\(679\) 5.96705 + 10.3352i 0.228995 + 0.396630i
\(680\) 11.5743 20.0473i 0.443854 0.768777i
\(681\) −32.9721 3.88053i −1.26349 0.148702i
\(682\) 1.85102 + 6.90810i 0.0708792 + 0.264525i
\(683\) 3.57608 + 13.3461i 0.136835 + 0.510675i 0.999984 + 0.00572533i \(0.00182244\pi\)
−0.863149 + 0.504950i \(0.831511\pi\)
\(684\) −3.07352 + 1.88902i −0.117519 + 0.0722283i
\(685\) 8.80187 15.2453i 0.336302 0.582493i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) −9.06958 21.0718i −0.346026 0.803940i
\(688\) 7.88868i 0.300753i
\(689\) 23.6920 + 2.53086i 0.902594 + 0.0964182i
\(690\) −4.90632 6.21523i −0.186780 0.236610i
\(691\) 7.89358 + 2.11508i 0.300286 + 0.0804613i 0.405816 0.913955i \(-0.366987\pi\)
−0.105530 + 0.994416i \(0.533654\pi\)
\(692\) 8.60679 4.96913i 0.327181 0.188898i
\(693\) −1.74967 1.65601i −0.0664645 0.0629065i
\(694\) −8.32111 + 8.32111i −0.315865 + 0.315865i
\(695\) −41.0087 + 10.9882i −1.55555 + 0.416808i
\(696\) 7.48915 10.0430i 0.283876 0.380677i
\(697\) 10.8294 + 10.8294i 0.410192 + 0.410192i
\(698\) 4.34847 + 2.51059i 0.164592 + 0.0950272i
\(699\) 29.6494 + 11.8063i 1.12144 + 0.446557i
\(700\) 1.02827 3.83756i 0.0388650 0.145046i
\(701\) 7.59000 0.286670 0.143335 0.989674i \(-0.454217\pi\)
0.143335 + 0.989674i \(0.454217\pi\)
\(702\) −1.23041 18.6945i −0.0464390 0.705580i
\(703\) 10.4323 0.393462
\(704\) −0.207839 + 0.775667i −0.00783324 + 0.0292340i
\(705\) 4.31623 + 1.71871i 0.162559 + 0.0647305i
\(706\) 14.4006 + 8.31422i 0.541975 + 0.312910i
\(707\) 4.70001 + 4.70001i 0.176762 + 0.176762i
\(708\) 9.27510 12.4379i 0.348580 0.467446i
\(709\) 21.6690 5.80620i 0.813797 0.218056i 0.172164 0.985068i \(-0.444924\pi\)
0.641633 + 0.767012i \(0.278257\pi\)
\(710\) 30.3824 30.3824i 1.14023 1.14023i
\(711\) −11.2562 10.6536i −0.422139 0.399541i
\(712\) −5.78475 + 3.33983i −0.216793 + 0.125165i
\(713\) −13.1292 3.51795i −0.491691 0.131748i
\(714\) 8.29347 + 10.5060i 0.310375 + 0.393177i
\(715\) 7.92918 3.51416i 0.296535 0.131422i
\(716\) 4.82667i 0.180381i
\(717\) −4.32986 10.0598i −0.161702 0.375690i
\(718\) −0.599857 1.03898i −0.0223864 0.0387745i
\(719\) −24.2716 + 42.0397i −0.905179 + 1.56782i −0.0845019 + 0.996423i \(0.526930\pi\)
−0.820677 + 0.571392i \(0.806403\pi\)
\(720\) 7.65603 4.70548i 0.285323 0.175363i
\(721\) 2.46652 + 9.20519i 0.0918581 + 0.342819i
\(722\) 4.54328 + 16.9558i 0.169084 + 0.631028i
\(723\) 10.4814 + 1.23357i 0.389809 + 0.0458771i
\(724\) 11.8134 20.4614i 0.439040 0.760440i
\(725\) −14.3681 24.8863i −0.533617 0.924252i
\(726\) −16.4744 + 7.09081i −0.611424 + 0.263165i
\(727\) 45.6074i 1.69149i −0.533590 0.845743i \(-0.679157\pi\)
0.533590 0.845743i \(-0.320843\pi\)
\(728\) −2.91334 2.12425i −0.107976 0.0787298i
\(729\) −17.4540 + 20.6000i −0.646444 + 0.762962i
\(730\) 23.1245 + 6.19619i 0.855876 + 0.229331i
\(731\) −52.7949 + 30.4812i −1.95269 + 1.12739i
\(732\) 0.0229852 0.00334813i 0.000849558 0.000123750i
\(733\) −5.86475 + 5.86475i −0.216619 + 0.216619i −0.807072 0.590453i \(-0.798949\pi\)
0.590453 + 0.807072i \(0.298949\pi\)
\(734\) −32.6733 + 8.75477i −1.20599 + 0.323145i
\(735\) 4.15921 + 3.10157i 0.153415 + 0.114403i
\(736\) −1.07918 1.07918i −0.0397792 0.0397792i
\(737\) 7.47894 + 4.31797i 0.275490 + 0.159054i
\(738\) 1.69609 + 5.69837i 0.0624338 + 0.209760i
\(739\) 7.90634 29.5069i 0.290840 1.08543i −0.653626 0.756818i \(-0.726753\pi\)
0.944466 0.328610i \(-0.106580\pi\)
\(740\) −25.9866 −0.955285
\(741\) 7.32294 + 1.66504i 0.269015 + 0.0611668i
\(742\) −6.60837 −0.242601
\(743\) −0.457078 + 1.70584i −0.0167686 + 0.0625812i −0.973803 0.227393i \(-0.926980\pi\)
0.957035 + 0.289974i \(0.0936466\pi\)
\(744\) 5.70668 14.3313i 0.209217 0.525410i
\(745\) −40.8846 23.6047i −1.49790 0.864811i
\(746\) 0.459913 + 0.459913i 0.0168386 + 0.0168386i
\(747\) −0.446171 16.2234i −0.0163246 0.593583i
\(748\) −5.99421 + 1.60615i −0.219170 + 0.0587265i
\(749\) −8.83324 + 8.83324i −0.322760 + 0.322760i
\(750\) 0.768107 + 5.27312i 0.0280473 + 0.192547i
\(751\) −16.0288 + 9.25422i −0.584898 + 0.337691i −0.763078 0.646307i \(-0.776313\pi\)
0.178179 + 0.983998i \(0.442979\pi\)
\(752\) 0.864928 + 0.231757i 0.0315407 + 0.00845130i
\(753\) 11.3382 8.95044i 0.413189 0.326172i
\(754\) −25.7647 + 4.03584i −0.938297 + 0.146977i
\(755\) 22.7171i 0.826759i
\(756\) 0.890064 + 5.11935i 0.0323713 + 0.186189i
\(757\) −9.11979 15.7959i −0.331464 0.574113i 0.651335 0.758790i \(-0.274209\pi\)
−0.982799 + 0.184677i \(0.940876\pi\)
\(758\) −0.429861 + 0.744541i −0.0156133 + 0.0270429i
\(759\) −0.248118 + 2.10821i −0.00900612 + 0.0765233i
\(760\) 0.932314 + 3.47944i 0.0338186 + 0.126213i
\(761\) 12.6341 + 47.1509i 0.457984 + 1.70922i 0.679164 + 0.733987i \(0.262343\pi\)
−0.221180 + 0.975233i \(0.570991\pi\)
\(762\) 0.647949 5.50550i 0.0234727 0.199443i
\(763\) −2.83957 + 4.91828i −0.102799 + 0.178054i
\(764\) 5.51729 + 9.55622i 0.199608 + 0.345732i
\(765\) 61.0736 + 33.0564i 2.20812 + 1.19516i
\(766\) 12.3116i 0.444835i
\(767\) −31.9089 + 4.99828i −1.15216 + 0.180477i
\(768\) 1.35950 1.07320i 0.0490569 0.0387256i
\(769\) −12.1557 3.25710i −0.438344 0.117454i 0.0328962 0.999459i \(-0.489527\pi\)
−0.471240 + 0.882005i \(0.656194\pi\)
\(770\) −2.08319 + 1.20273i −0.0750730 + 0.0433434i
\(771\) −0.286390 1.96609i −0.0103141 0.0708071i
\(772\) −14.8614 + 14.8614i −0.534874 + 0.534874i
\(773\) 4.68124 1.25433i 0.168372 0.0451152i −0.173648 0.984808i \(-0.555555\pi\)
0.342020 + 0.939693i \(0.388889\pi\)
\(774\)