Properties

Label 547.2.o.a.4.10
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.10
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.91587 - 0.0220482i) q^{2} +(-0.216762 + 0.949696i) q^{3} +(1.67061 + 0.0384563i) q^{4} +(-0.340710 + 0.640190i) q^{5} +(0.436227 - 1.81472i) q^{6} +(1.64679 + 4.05800i) q^{7} +(0.629896 + 0.0217545i) q^{8} +(1.84797 + 0.889935i) q^{9} +O(q^{10})\) \(q+(-1.91587 - 0.0220482i) q^{2} +(-0.216762 + 0.949696i) q^{3} +(1.67061 + 0.0384563i) q^{4} +(-0.340710 + 0.640190i) q^{5} +(0.436227 - 1.81472i) q^{6} +(1.64679 + 4.05800i) q^{7} +(0.629896 + 0.0217545i) q^{8} +(1.84797 + 0.889935i) q^{9} +(0.666871 - 1.21901i) q^{10} +(1.49705 + 1.55859i) q^{11} +(-0.398646 + 1.57823i) q^{12} +(-1.12309 - 0.169279i) q^{13} +(-3.06556 - 7.81092i) q^{14} +(-0.534133 - 0.462340i) q^{15} +(-4.54488 - 0.209352i) q^{16} +(0.943035 - 5.59907i) q^{17} +(-3.52085 - 1.74574i) q^{18} +(2.48078 - 1.33865i) q^{19} +(-0.593811 + 1.05640i) q^{20} +(-4.21083 + 0.684327i) q^{21} +(-2.83378 - 3.01907i) q^{22} +(6.52673 + 1.52925i) q^{23} +(-0.157198 + 0.593495i) q^{24} +(2.49902 + 3.71109i) q^{25} +(2.14797 + 0.349079i) q^{26} +(-3.06780 + 3.84690i) q^{27} +(2.59507 + 6.84265i) q^{28} +(1.44663 + 0.824150i) q^{29} +(1.01314 + 0.897560i) q^{30} +(-3.03233 - 1.09052i) q^{31} +(7.44432 + 0.428807i) q^{32} +(-1.80469 + 1.08390i) q^{33} +(-1.93018 + 10.7063i) q^{34} +(-3.15897 - 0.328346i) q^{35} +(3.05300 + 1.55780i) q^{36} +(-4.13467 + 3.33639i) q^{37} +(-4.78236 + 2.50998i) q^{38} +(0.404208 - 1.02990i) q^{39} +(-0.228539 + 0.395841i) q^{40} +(-3.07626 - 5.32824i) q^{41} +(8.08250 - 1.21824i) q^{42} +(-0.265658 + 2.70725i) q^{43} +(2.44104 + 2.66136i) q^{44} +(-1.19935 + 0.879841i) q^{45} +(-12.4707 - 3.07374i) q^{46} +(6.74102 - 0.544192i) q^{47} +(1.18398 - 4.27087i) q^{48} +(-8.73504 + 8.48728i) q^{49} +(-4.70598 - 7.16508i) q^{50} +(5.11300 + 2.10926i) q^{51} +(-1.86974 - 0.325988i) q^{52} +(-3.78272 + 1.31143i) q^{53} +(5.96232 - 7.30252i) q^{54} +(-1.50785 + 0.427366i) q^{55} +(0.949024 + 2.59194i) q^{56} +(0.733570 + 2.64615i) q^{57} +(-2.75338 - 1.61086i) q^{58} +(-6.07411 + 2.58794i) q^{59} +(-0.874545 - 0.792928i) q^{60} +(-5.27935 + 2.46797i) q^{61} +(5.78551 + 2.15616i) q^{62} +(-0.568147 + 8.96459i) q^{63} +(-5.17520 - 0.357896i) q^{64} +(0.491020 - 0.661317i) q^{65} +(3.48145 - 2.03682i) q^{66} +(5.49059 + 5.33486i) q^{67} +(1.79076 - 9.31757i) q^{68} +(-2.86707 + 5.86693i) q^{69} +(6.04493 + 0.698718i) q^{70} +(-2.87347 + 0.569421i) q^{71} +(1.14467 + 0.600768i) q^{72} +(0.328883 - 0.284677i) q^{73} +(7.99505 - 6.30092i) q^{74} +(-4.06611 + 1.56889i) q^{75} +(4.19588 - 2.14095i) q^{76} +(-3.85945 + 8.64168i) q^{77} +(-0.797117 + 1.96425i) q^{78} +(-8.75388 - 6.26818i) q^{79} +(1.68251 - 2.83825i) q^{80} +(0.848100 + 1.06348i) q^{81} +(5.77624 + 10.2760i) q^{82} +(6.10460 + 3.86031i) q^{83} +(-7.06095 + 0.981306i) q^{84} +(3.26316 + 2.51138i) q^{85} +(0.568657 - 5.18089i) q^{86} +(-1.09627 + 1.19521i) q^{87} +(0.909078 + 1.01432i) q^{88} +(-1.23806 - 14.3092i) q^{89} +(2.31720 - 1.65922i) q^{90} +(-1.16256 - 4.83628i) q^{91} +(10.8448 + 2.80576i) q^{92} +(1.69296 - 2.64341i) q^{93} +(-12.9269 + 0.893974i) q^{94} +(0.0117624 + 2.04426i) q^{95} +(-2.02088 + 6.97690i) q^{96} +(1.05251 + 7.90671i) q^{97} +(16.9223 - 16.0680i) q^{98} +(1.37945 + 4.21250i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91587 0.0220482i −1.35473 0.0155904i −0.668898 0.743354i \(-0.733234\pi\)
−0.685828 + 0.727764i \(0.740560\pi\)
\(3\) −0.216762 + 0.949696i −0.125148 + 0.548307i 0.873014 + 0.487696i \(0.162162\pi\)
−0.998161 + 0.0606120i \(0.980695\pi\)
\(4\) 1.67061 + 0.0384563i 0.835303 + 0.0192282i
\(5\) −0.340710 + 0.640190i −0.152370 + 0.286301i −0.947268 0.320441i \(-0.896169\pi\)
0.794898 + 0.606743i \(0.207524\pi\)
\(6\) 0.436227 1.81472i 0.178089 0.740855i
\(7\) 1.64679 + 4.05800i 0.622427 + 1.53378i 0.831292 + 0.555836i \(0.187602\pi\)
−0.208865 + 0.977944i \(0.566977\pi\)
\(8\) 0.629896 + 0.0217545i 0.222702 + 0.00769139i
\(9\) 1.84797 + 0.889935i 0.615990 + 0.296645i
\(10\) 0.666871 1.21901i 0.210883 0.385484i
\(11\) 1.49705 + 1.55859i 0.451377 + 0.469933i 0.907541 0.419962i \(-0.137957\pi\)
−0.456165 + 0.889895i \(0.650777\pi\)
\(12\) −0.398646 + 1.57823i −0.115079 + 0.455596i
\(13\) −1.12309 0.169279i −0.311490 0.0469496i −0.00856301 0.999963i \(-0.502726\pi\)
−0.302927 + 0.953014i \(0.597964\pi\)
\(14\) −3.06556 7.81092i −0.819305 2.08756i
\(15\) −0.534133 0.462340i −0.137912 0.119376i
\(16\) −4.54488 0.209352i −1.13622 0.0523379i
\(17\) 0.943035 5.59907i 0.228720 1.35797i −0.600757 0.799432i \(-0.705134\pi\)
0.829477 0.558542i \(-0.188639\pi\)
\(18\) −3.52085 1.74574i −0.829872 0.411476i
\(19\) 2.48078 1.33865i 0.569129 0.307107i −0.164806 0.986326i \(-0.552700\pi\)
0.733935 + 0.679219i \(0.237681\pi\)
\(20\) −0.593811 + 1.05640i −0.132780 + 0.236219i
\(21\) −4.21083 + 0.684327i −0.918878 + 0.149332i
\(22\) −2.83378 3.01907i −0.604165 0.643667i
\(23\) 6.52673 + 1.52925i 1.36092 + 0.318870i 0.843622 0.536937i \(-0.180419\pi\)
0.517295 + 0.855807i \(0.326939\pi\)
\(24\) −0.157198 + 0.593495i −0.0320879 + 0.121147i
\(25\) 2.49902 + 3.71109i 0.499805 + 0.742219i
\(26\) 2.14797 + 0.349079i 0.421251 + 0.0684600i
\(27\) −3.06780 + 3.84690i −0.590398 + 0.740336i
\(28\) 2.59507 + 6.84265i 0.490423 + 1.29314i
\(29\) 1.44663 + 0.824150i 0.268632 + 0.153041i 0.623375 0.781923i \(-0.285761\pi\)
−0.354743 + 0.934964i \(0.615431\pi\)
\(30\) 1.01314 + 0.897560i 0.184972 + 0.163871i
\(31\) −3.03233 1.09052i −0.544623 0.195864i 0.0516217 0.998667i \(-0.483561\pi\)
−0.596245 + 0.802803i \(0.703341\pi\)
\(32\) 7.44432 + 0.428807i 1.31598 + 0.0758031i
\(33\) −1.80469 + 1.08390i −0.314156 + 0.188682i
\(34\) −1.93018 + 10.7063i −0.331024 + 1.83612i
\(35\) −3.15897 0.328346i −0.533963 0.0555006i
\(36\) 3.05300 + 1.55780i 0.508834 + 0.259633i
\(37\) −4.13467 + 3.33639i −0.679735 + 0.548499i −0.904796 0.425846i \(-0.859976\pi\)
0.225061 + 0.974345i \(0.427742\pi\)
\(38\) −4.78236 + 2.50998i −0.775802 + 0.407172i
\(39\) 0.404208 1.02990i 0.0647250 0.164917i
\(40\) −0.228539 + 0.395841i −0.0361352 + 0.0625880i
\(41\) −3.07626 5.32824i −0.480431 0.832131i 0.519317 0.854582i \(-0.326186\pi\)
−0.999748 + 0.0224510i \(0.992853\pi\)
\(42\) 8.08250 1.21824i 1.24716 0.187979i
\(43\) −0.265658 + 2.70725i −0.0405125 + 0.412852i 0.953320 + 0.301961i \(0.0976414\pi\)
−0.993833 + 0.110891i \(0.964630\pi\)
\(44\) 2.44104 + 2.66136i 0.368000 + 0.401215i
\(45\) −1.19935 + 0.879841i −0.178788 + 0.131159i
\(46\) −12.4707 3.07374i −1.83870 0.453199i
\(47\) 6.74102 0.544192i 0.983279 0.0793785i 0.421642 0.906762i \(-0.361454\pi\)
0.561637 + 0.827384i \(0.310172\pi\)
\(48\) 1.18398 4.27087i 0.170892 0.616447i
\(49\) −8.73504 + 8.48728i −1.24786 + 1.21247i
\(50\) −4.70598 7.16508i −0.665527 1.01329i
\(51\) 5.11300 + 2.10926i 0.715963 + 0.295356i
\(52\) −1.86974 0.325988i −0.259286 0.0452065i
\(53\) −3.78272 + 1.31143i −0.519597 + 0.180139i −0.574734 0.818340i \(-0.694895\pi\)
0.0551374 + 0.998479i \(0.482440\pi\)
\(54\) 5.96232 7.30252i 0.811369 0.993747i
\(55\) −1.50785 + 0.427366i −0.203319 + 0.0576261i
\(56\) 0.949024 + 2.59194i 0.126819 + 0.346363i
\(57\) 0.733570 + 2.64615i 0.0971637 + 0.350492i
\(58\) −2.75338 1.61086i −0.361537 0.211516i
\(59\) −6.07411 + 2.58794i −0.790782 + 0.336921i −0.749310 0.662219i \(-0.769615\pi\)
−0.0414714 + 0.999140i \(0.513205\pi\)
\(60\) −0.874545 0.792928i −0.112903 0.102367i
\(61\) −5.27935 + 2.46797i −0.675952 + 0.315991i −0.730887 0.682499i \(-0.760893\pi\)
0.0549348 + 0.998490i \(0.482505\pi\)
\(62\) 5.78551 + 2.15616i 0.734761 + 0.273833i
\(63\) −0.568147 + 8.96459i −0.0715798 + 1.12943i
\(64\) −5.17520 0.357896i −0.646900 0.0447370i
\(65\) 0.491020 0.661317i 0.0609035 0.0820263i
\(66\) 3.48145 2.03682i 0.428537 0.250715i
\(67\) 5.49059 + 5.33486i 0.670782 + 0.651757i 0.951363 0.308074i \(-0.0996843\pi\)
−0.280580 + 0.959831i \(0.590527\pi\)
\(68\) 1.79076 9.31757i 0.217161 1.12992i
\(69\) −2.86707 + 5.86693i −0.345154 + 0.706296i
\(70\) 6.04493 + 0.698718i 0.722508 + 0.0835127i
\(71\) −2.87347 + 0.569421i −0.341018 + 0.0675778i −0.361935 0.932203i \(-0.617884\pi\)
0.0209166 + 0.999781i \(0.493342\pi\)
\(72\) 1.14467 + 0.600768i 0.134900 + 0.0708012i
\(73\) 0.328883 0.284677i 0.0384928 0.0333190i −0.635007 0.772506i \(-0.719003\pi\)
0.673500 + 0.739188i \(0.264790\pi\)
\(74\) 7.99505 6.30092i 0.929406 0.732468i
\(75\) −4.06611 + 1.56889i −0.469513 + 0.181160i
\(76\) 4.19588 2.14095i 0.481300 0.245584i
\(77\) −3.85945 + 8.64168i −0.439825 + 0.984811i
\(78\) −0.797117 + 1.96425i −0.0902557 + 0.222408i
\(79\) −8.75388 6.26818i −0.984889 0.705225i −0.0291906 0.999574i \(-0.509293\pi\)
−0.955698 + 0.294348i \(0.904897\pi\)
\(80\) 1.68251 2.83825i 0.188110 0.317326i
\(81\) 0.848100 + 1.06348i 0.0942333 + 0.118165i
\(82\) 5.77624 + 10.2760i 0.637879 + 1.13480i
\(83\) 6.10460 + 3.86031i 0.670067 + 0.423725i 0.825715 0.564088i \(-0.190772\pi\)
−0.155648 + 0.987813i \(0.549747\pi\)
\(84\) −7.06095 + 0.981306i −0.770413 + 0.107069i
\(85\) 3.26316 + 2.51138i 0.353940 + 0.272397i
\(86\) 0.568657 5.18089i 0.0613198 0.558670i
\(87\) −1.09627 + 1.19521i −0.117532 + 0.128140i
\(88\) 0.909078 + 1.01432i 0.0969080 + 0.108127i
\(89\) −1.23806 14.3092i −0.131234 1.51677i −0.711701 0.702483i \(-0.752075\pi\)
0.580466 0.814284i \(-0.302870\pi\)
\(90\) 2.31720 1.65922i 0.244254 0.174897i
\(91\) −1.16256 4.83628i −0.121869 0.506980i
\(92\) 10.8448 + 2.80576i 1.13065 + 0.292521i
\(93\) 1.69296 2.64341i 0.175552 0.274109i
\(94\) −12.9269 + 0.893974i −1.33331 + 0.0922063i
\(95\) 0.0117624 + 2.04426i 0.00120680 + 0.209736i
\(96\) −2.02088 + 6.97690i −0.206256 + 0.712077i
\(97\) 1.05251 + 7.90671i 0.106866 + 0.802805i 0.959780 + 0.280753i \(0.0905842\pi\)
−0.852914 + 0.522052i \(0.825167\pi\)
\(98\) 16.9223 16.0680i 1.70941 1.62311i
\(99\) 1.37945 + 4.21250i 0.138640 + 0.423372i
\(100\) 4.03217 + 6.29588i 0.403217 + 0.629588i
\(101\) −1.34509 1.81160i −0.133842 0.180261i 0.730890 0.682495i \(-0.239105\pi\)
−0.864732 + 0.502234i \(0.832512\pi\)
\(102\) −9.74934 4.15381i −0.965329 0.411288i
\(103\) −6.98561 15.1702i −0.688312 1.49476i −0.860368 0.509674i \(-0.829766\pi\)
0.172055 0.985087i \(-0.444959\pi\)
\(104\) −0.703749 0.131061i −0.0690083 0.0128515i
\(105\) 0.996573 2.92889i 0.0972556 0.285830i
\(106\) 7.27612 2.42913i 0.706719 0.235938i
\(107\) 8.93954 2.20340i 0.864218 0.213011i 0.217799 0.975994i \(-0.430112\pi\)
0.646419 + 0.762983i \(0.276266\pi\)
\(108\) −5.27302 + 6.30867i −0.507396 + 0.607052i
\(109\) 1.26120 + 2.43698i 0.120801 + 0.233421i 0.940814 0.338924i \(-0.110063\pi\)
−0.820013 + 0.572345i \(0.806034\pi\)
\(110\) 2.89827 0.785534i 0.276339 0.0748977i
\(111\) −2.27232 4.64988i −0.215679 0.441347i
\(112\) −6.63489 18.7879i −0.626938 1.77529i
\(113\) −0.0375375 1.30442i −0.00353124 0.122710i −0.999467 0.0326440i \(-0.989607\pi\)
0.995936 0.0900659i \(-0.0287078\pi\)
\(114\) −1.34708 5.08586i −0.126166 0.476335i
\(115\) −3.20273 + 3.65732i −0.298656 + 0.341047i
\(116\) 2.38505 + 1.43246i 0.221446 + 0.133001i
\(117\) −1.92479 1.31230i −0.177947 0.121322i
\(118\) 11.6943 4.82423i 1.07654 0.444106i
\(119\) 24.2740 5.39363i 2.22519 0.494433i
\(120\) −0.326390 0.302846i −0.0297952 0.0276459i
\(121\) 0.254869 6.32451i 0.0231699 0.574956i
\(122\) 10.1690 4.61191i 0.920656 0.417543i
\(123\) 5.72702 1.76655i 0.516388 0.159285i
\(124\) −5.02389 1.93845i −0.451159 0.174078i
\(125\) −6.83385 + 0.710317i −0.611238 + 0.0635327i
\(126\) 1.28615 17.1625i 0.114579 1.52896i
\(127\) −1.56695 + 4.27960i −0.139044 + 0.379753i −0.989160 0.146843i \(-0.953089\pi\)
0.850116 + 0.526596i \(0.176532\pi\)
\(128\) −4.95784 0.400238i −0.438216 0.0353764i
\(129\) −2.51348 0.839124i −0.221300 0.0738807i
\(130\) −0.955311 + 1.25617i −0.0837863 + 0.110174i
\(131\) −6.43456 1.35224i −0.562191 0.118146i −0.0841018 0.996457i \(-0.526802\pi\)
−0.478089 + 0.878312i \(0.658670\pi\)
\(132\) −3.05661 + 1.74136i −0.266044 + 0.151566i
\(133\) 9.51754 + 7.86253i 0.825276 + 0.681768i
\(134\) −10.4016 10.3420i −0.898565 0.893410i
\(135\) −1.41751 3.27465i −0.122000 0.281837i
\(136\) 0.715820 3.50632i 0.0613810 0.300664i
\(137\) 15.0039 0.345380i 1.28187 0.0295078i 0.623271 0.782006i \(-0.285803\pi\)
0.658595 + 0.752498i \(0.271151\pi\)
\(138\) 5.62229 11.1771i 0.478601 0.951456i
\(139\) 1.07816 + 0.488974i 0.0914480 + 0.0414742i 0.458238 0.888830i \(-0.348481\pi\)
−0.366790 + 0.930304i \(0.619543\pi\)
\(140\) −5.26476 0.670018i −0.444953 0.0566269i
\(141\) −0.944381 + 6.51989i −0.0795312 + 0.549073i
\(142\) 5.51775 1.02758i 0.463039 0.0862327i
\(143\) −1.41749 2.00386i −0.118536 0.167571i
\(144\) −8.21248 4.43152i −0.684373 0.369293i
\(145\) −1.02049 + 0.645320i −0.0847473 + 0.0535909i
\(146\) −0.636373 + 0.538154i −0.0526666 + 0.0445379i
\(147\) −6.16692 10.1354i −0.508639 0.835950i
\(148\) −7.03570 + 5.41478i −0.578331 + 0.445092i
\(149\) −2.19825 + 2.23652i −0.180087 + 0.183223i −0.797319 0.603559i \(-0.793749\pi\)
0.617231 + 0.786782i \(0.288254\pi\)
\(150\) 7.82473 2.91614i 0.638886 0.238102i
\(151\) 1.56560 + 5.18121i 0.127407 + 0.421641i 0.997453 0.0713297i \(-0.0227242\pi\)
−0.870046 + 0.492970i \(0.835911\pi\)
\(152\) 1.59175 0.789240i 0.129108 0.0640159i
\(153\) 6.72551 9.50766i 0.543725 0.768649i
\(154\) 7.58474 16.4713i 0.611195 1.32729i
\(155\) 1.73129 1.56972i 0.139060 0.126083i
\(156\) 0.714878 1.70502i 0.0572360 0.136511i
\(157\) −3.01686 3.60939i −0.240771 0.288061i 0.633250 0.773947i \(-0.281720\pi\)
−0.874022 + 0.485886i \(0.838497\pi\)
\(158\) 16.6331 + 12.2020i 1.32326 + 0.970742i
\(159\) −0.425509 3.87670i −0.0337450 0.307443i
\(160\) −2.81087 + 4.61968i −0.222219 + 0.365218i
\(161\) 4.54245 + 29.0038i 0.357995 + 2.28582i
\(162\) −1.60140 2.05620i −0.125818 0.161550i
\(163\) 4.94106 15.6973i 0.387014 1.22951i −0.535828 0.844327i \(-0.680000\pi\)
0.922842 0.385180i \(-0.125860\pi\)
\(164\) −4.93431 9.01968i −0.385305 0.704319i
\(165\) −0.0790233 1.52464i −0.00615195 0.118693i
\(166\) −11.6105 7.53046i −0.901150 0.584477i
\(167\) 0.398420 23.0791i 0.0308307 1.78592i −0.434392 0.900724i \(-0.643037\pi\)
0.465222 0.885194i \(-0.345974\pi\)
\(168\) −2.66727 + 0.339450i −0.205785 + 0.0261891i
\(169\) −11.1898 3.45159i −0.860751 0.265507i
\(170\) −6.19643 4.88343i −0.475244 0.374542i
\(171\) 5.77571 0.266048i 0.441679 0.0203452i
\(172\) −0.547921 + 4.51253i −0.0417786 + 0.344077i
\(173\) −13.9421 + 9.27234i −1.06000 + 0.704963i −0.957108 0.289730i \(-0.906434\pi\)
−0.102887 + 0.994693i \(0.532808\pi\)
\(174\) 2.12666 2.26570i 0.161221 0.171763i
\(175\) −10.9443 + 16.2524i −0.827309 + 1.22857i
\(176\) −6.47760 7.39701i −0.488267 0.557571i
\(177\) −1.14112 6.32953i −0.0857716 0.475756i
\(178\) 2.05648 + 27.4418i 0.154139 + 2.05685i
\(179\) −14.8697 4.21448i −1.11141 0.315005i −0.333107 0.942889i \(-0.608097\pi\)
−0.778307 + 0.627884i \(0.783921\pi\)
\(180\) −2.03747 + 1.42374i −0.151864 + 0.106120i
\(181\) 4.72977 + 23.1679i 0.351561 + 1.72206i 0.643346 + 0.765576i \(0.277546\pi\)
−0.291785 + 0.956484i \(0.594249\pi\)
\(182\) 2.12068 + 9.29132i 0.157195 + 0.688718i
\(183\) −1.19946 5.54874i −0.0886665 0.410175i
\(184\) 4.07790 + 1.10525i 0.300626 + 0.0814803i
\(185\) −0.727198 3.78371i −0.0534647 0.278184i
\(186\) −3.30178 + 5.02711i −0.242098 + 0.368605i
\(187\) 10.1384 6.91226i 0.741395 0.505474i
\(188\) 11.2825 0.649894i 0.822862 0.0473984i
\(189\) −20.6627 6.11411i −1.50299 0.444736i
\(190\) 0.0225368 3.91679i 0.00163499 0.284154i
\(191\) −1.04199 16.4411i −0.0753954 1.18964i −0.839066 0.544030i \(-0.816898\pi\)
0.763670 0.645607i \(-0.223395\pi\)
\(192\) 1.46168 4.83729i 0.105488 0.349101i
\(193\) −0.295589 1.75499i −0.0212769 0.126327i 0.973447 0.228910i \(-0.0735163\pi\)
−0.994724 + 0.102583i \(0.967289\pi\)
\(194\) −1.84215 15.1714i −0.132258 1.08925i
\(195\) 0.521616 + 0.609668i 0.0373537 + 0.0436592i
\(196\) −14.9192 + 13.8430i −1.06566 + 0.988785i
\(197\) 11.5068 16.6705i 0.819826 1.18772i −0.159851 0.987141i \(-0.551101\pi\)
0.979677 0.200582i \(-0.0642834\pi\)
\(198\) −2.54997 8.10102i −0.181219 0.575715i
\(199\) −7.49404 + 7.80212i −0.531238 + 0.553078i −0.931697 0.363237i \(-0.881671\pi\)
0.400458 + 0.916315i \(0.368851\pi\)
\(200\) 1.49339 + 2.39197i 0.105599 + 0.169138i
\(201\) −6.25665 + 4.05800i −0.441310 + 0.286229i
\(202\) 2.53708 + 3.50046i 0.178508 + 0.246291i
\(203\) −0.962113 + 7.22762i −0.0675271 + 0.507279i
\(204\) 8.46069 + 3.72037i 0.592367 + 0.260478i
\(205\) 4.45919 0.154006i 0.311444 0.0107562i
\(206\) 13.0491 + 29.2181i 0.909170 + 2.03572i
\(207\) 10.7003 + 8.63437i 0.743720 + 0.600130i
\(208\) 5.06888 + 1.00447i 0.351464 + 0.0696477i
\(209\) 5.80024 + 1.86250i 0.401211 + 0.128832i
\(210\) −1.97388 + 5.58940i −0.136211 + 0.385705i
\(211\) 24.2092 2.79827i 1.66663 0.192641i 0.770811 0.637064i \(-0.219851\pi\)
0.895817 + 0.444423i \(0.146591\pi\)
\(212\) −6.36987 + 2.04541i −0.437484 + 0.140479i
\(213\) 0.0820825 2.85235i 0.00562420 0.195440i
\(214\) −17.1756 + 4.02433i −1.17410 + 0.275097i
\(215\) −1.64264 1.09246i −0.112027 0.0745051i
\(216\) −2.01608 + 2.35641i −0.137177 + 0.160333i
\(217\) −0.568254 14.1011i −0.0385756 0.957243i
\(218\) −2.36256 4.69675i −0.160013 0.318104i
\(219\) 0.199068 + 0.374046i 0.0134518 + 0.0252757i
\(220\) −2.53546 + 0.655974i −0.170941 + 0.0442258i
\(221\) −2.00692 + 6.12864i −0.135000 + 0.412257i
\(222\) 4.25094 + 8.95867i 0.285305 + 0.601267i
\(223\) 14.3812 + 18.9104i 0.963038 + 1.26633i 0.963881 + 0.266334i \(0.0858123\pi\)
−0.000842695 1.00000i \(0.500268\pi\)
\(224\) 10.5191 + 30.9152i 0.702837 + 2.06561i
\(225\) 1.31549 + 9.08196i 0.0876991 + 0.605464i
\(226\) 0.0431569 + 2.49994i 0.00287076 + 0.166293i
\(227\) −4.11651 + 6.59342i −0.273222 + 0.437621i −0.956155 0.292861i \(-0.905393\pi\)
0.682933 + 0.730481i \(0.260704\pi\)
\(228\) 1.12374 + 4.44889i 0.0744218 + 0.294635i
\(229\) 1.73078 + 17.6380i 0.114373 + 1.16555i 0.863931 + 0.503610i \(0.167995\pi\)
−0.749558 + 0.661939i \(0.769734\pi\)
\(230\) 6.21666 6.93633i 0.409914 0.457368i
\(231\) −7.37039 5.53849i −0.484936 0.364406i
\(232\) 0.893297 + 0.550599i 0.0586478 + 0.0361486i
\(233\) 10.7042 + 13.1103i 0.701257 + 0.858883i 0.995293 0.0969108i \(-0.0308962\pi\)
−0.294037 + 0.955794i \(0.594999\pi\)
\(234\) 3.65872 + 2.55664i 0.239178 + 0.167133i
\(235\) −1.94835 + 4.50094i −0.127096 + 0.293609i
\(236\) −10.2470 + 4.08983i −0.667020 + 0.266225i
\(237\) 7.85038 6.95483i 0.509937 0.451765i
\(238\) −46.6248 + 9.79830i −3.02224 + 0.635129i
\(239\) −7.90834 + 16.6665i −0.511548 + 1.07806i 0.469255 + 0.883063i \(0.344522\pi\)
−0.980803 + 0.195001i \(0.937529\pi\)
\(240\) 2.33078 + 2.21310i 0.150451 + 0.142855i
\(241\) 13.7393 18.9563i 0.885025 1.22109i −0.0893146 0.996003i \(-0.528468\pi\)
0.974340 0.225082i \(-0.0722649\pi\)
\(242\) −0.627740 + 12.1113i −0.0403527 + 0.778546i
\(243\) −14.4931 + 6.97952i −0.929734 + 0.447736i
\(244\) −8.91462 + 3.91998i −0.570700 + 0.250951i
\(245\) −2.45736 8.48378i −0.156995 0.542009i
\(246\) −11.0112 + 3.25822i −0.702048 + 0.207736i
\(247\) −3.01275 + 1.08348i −0.191697 + 0.0689403i
\(248\) −1.88633 0.752884i −0.119782 0.0478082i
\(249\) −4.98937 + 4.96075i −0.316189 + 0.314375i
\(250\) 13.1084 1.21020i 0.829051 0.0765399i
\(251\) 22.1153 16.6186i 1.39590 1.04895i 0.405009 0.914313i \(-0.367268\pi\)
0.990894 0.134641i \(-0.0429881\pi\)
\(252\) −1.29390 + 14.9544i −0.0815077 + 0.942042i
\(253\) 7.38735 + 12.4619i 0.464439 + 0.783470i
\(254\) 3.09643 8.16461i 0.194287 0.512293i
\(255\) −3.09238 + 2.55464i −0.193652 + 0.159978i
\(256\) 19.8209 + 1.82992i 1.23881 + 0.114370i
\(257\) 5.56537 3.43031i 0.347158 0.213977i −0.340102 0.940389i \(-0.610462\pi\)
0.687260 + 0.726411i \(0.258813\pi\)
\(258\) 4.79701 + 1.66307i 0.298649 + 0.103538i
\(259\) −20.3480 11.2842i −1.26436 0.701164i
\(260\) 0.845732 1.08592i 0.0524501 0.0673457i
\(261\) 1.93988 + 2.81041i 0.120076 + 0.173960i
\(262\) 12.2980 + 2.73258i 0.759772 + 0.168820i
\(263\) −15.2728 + 2.66282i −0.941764 + 0.164197i −0.621749 0.783216i \(-0.713578\pi\)
−0.320014 + 0.947413i \(0.603688\pi\)
\(264\) −1.16035 + 0.643482i −0.0714145 + 0.0396036i
\(265\) 0.449248 2.86848i 0.0275971 0.176209i
\(266\) −18.0610 15.2734i −1.10739 0.936475i
\(267\) 13.8577 + 1.92590i 0.848078 + 0.117863i
\(268\) 8.96745 + 9.12359i 0.547774 + 0.557312i
\(269\) −16.9941 7.94435i −1.03615 0.484375i −0.170676 0.985327i \(-0.554595\pi\)
−0.865475 + 0.500952i \(0.832983\pi\)
\(270\) 2.64357 + 6.30506i 0.160883 + 0.383714i
\(271\) 4.37476 8.45325i 0.265748 0.513498i −0.717320 0.696744i \(-0.754631\pi\)
0.983067 + 0.183246i \(0.0586605\pi\)
\(272\) −5.45815 + 25.2496i −0.330949 + 1.53098i
\(273\) 4.84500 0.0557571i 0.293233 0.00337457i
\(274\) −28.7531 + 0.330895i −1.73704 + 0.0199901i
\(275\) −2.04292 + 9.45064i −0.123193 + 0.569895i
\(276\) −5.01536 + 9.69107i −0.301889 + 0.583334i
\(277\) 2.02516 + 4.83012i 0.121680 + 0.290213i 0.971572 0.236744i \(-0.0760801\pi\)
−0.849892 + 0.526957i \(0.823333\pi\)
\(278\) −2.05483 0.960582i −0.123240 0.0576119i
\(279\) −4.63316 4.71383i −0.277380 0.282210i
\(280\) −1.98268 0.275546i −0.118488 0.0164670i
\(281\) 1.48727 + 1.25772i 0.0887233 + 0.0750295i 0.688992 0.724769i \(-0.258053\pi\)
−0.600269 + 0.799798i \(0.704940\pi\)
\(282\) 1.95306 12.4704i 0.116303 0.742604i
\(283\) 14.0577 7.79583i 0.835643 0.463414i −0.00822405 0.999966i \(-0.502618\pi\)
0.843867 + 0.536552i \(0.180274\pi\)
\(284\) −4.82233 + 0.840774i −0.286153 + 0.0498908i
\(285\) −1.94397 0.431947i −0.115151 0.0255863i
\(286\) 2.67154 + 3.87039i 0.157971 + 0.228861i
\(287\) 16.5560 21.2579i 0.977273 1.25482i
\(288\) 13.3753 + 7.41739i 0.788145 + 0.437074i
\(289\) −14.3981 4.99168i −0.846949 0.293628i
\(290\) 1.96936 1.21385i 0.115645 0.0712798i
\(291\) −7.73712 0.714309i −0.453558 0.0418735i
\(292\) 0.560381 0.462936i 0.0327938 0.0270913i
\(293\) −5.99880 + 15.8175i −0.350454 + 0.924071i 0.637656 + 0.770321i \(0.279904\pi\)
−0.988110 + 0.153749i \(0.950865\pi\)
\(294\) 11.5916 + 19.5540i 0.676033 + 1.14041i
\(295\) 0.412739 4.77032i 0.0240306 0.277739i
\(296\) −2.67699 + 2.01163i −0.155597 + 0.116924i
\(297\) −10.5884 + 0.977543i −0.614400 + 0.0567228i
\(298\) 4.26087 4.23642i 0.246826 0.245409i
\(299\) −7.07126 2.82233i −0.408941 0.163219i
\(300\) −6.85319 + 2.46463i −0.395669 + 0.142295i
\(301\) −11.4235 + 3.38022i −0.658440 + 0.194833i
\(302\) −2.88525 9.96105i −0.166028 0.573194i
\(303\) 2.01204 0.884743i 0.115589 0.0508271i
\(304\) −11.5551 + 5.56463i −0.662729 + 0.319153i
\(305\) 0.218760 4.22065i 0.0125261 0.241674i
\(306\) −13.0948 + 18.0672i −0.748582 + 1.03283i
\(307\) 5.43511 + 5.16070i 0.310198 + 0.294536i 0.827729 0.561128i \(-0.189632\pi\)
−0.517531 + 0.855664i \(0.673149\pi\)
\(308\) −6.77994 + 14.2884i −0.386323 + 0.814158i
\(309\) 15.9213 3.34589i 0.905730 0.190341i
\(310\) −3.35153 + 2.96920i −0.190354 + 0.168639i
\(311\) −9.25111 + 3.69236i −0.524582 + 0.209375i −0.617893 0.786262i \(-0.712013\pi\)
0.0933103 + 0.995637i \(0.470255\pi\)
\(312\) 0.277014 0.639939i 0.0156828 0.0362294i
\(313\) −18.0168 12.5898i −1.01837 0.711616i −0.0603091 0.998180i \(-0.519209\pi\)
−0.958061 + 0.286564i \(0.907487\pi\)
\(314\) 5.70033 + 6.98164i 0.321688 + 0.393997i
\(315\) −5.54547 3.41805i −0.312452 0.192585i
\(316\) −14.3832 10.8083i −0.809120 0.608014i
\(317\) 20.0810 22.4057i 1.12786 1.25843i 0.165629 0.986188i \(-0.447034\pi\)
0.962230 0.272239i \(-0.0877641\pi\)
\(318\) 0.729746 + 7.43665i 0.0409221 + 0.417027i
\(319\) 0.881158 + 3.48849i 0.0493354 + 0.195318i
\(320\) 1.99236 3.19117i 0.111376 0.178392i
\(321\) 0.154807 + 8.96746i 0.00864050 + 0.500515i
\(322\) −8.06327 55.6678i −0.449348 3.10224i
\(323\) −5.15571 15.1524i −0.286872 0.843104i
\(324\) 1.37594 + 1.80928i 0.0764412 + 0.100515i
\(325\) −2.17843 4.59094i −0.120837 0.254659i
\(326\) −9.81254 + 29.9650i −0.543466 + 1.65961i
\(327\) −2.58777 + 0.669509i −0.143104 + 0.0370239i
\(328\) −1.82181 3.42316i −0.100593 0.189012i
\(329\) 13.3094 + 26.4589i 0.733768 + 1.45873i
\(330\) 0.117783 + 2.92275i 0.00648374 + 0.160892i
\(331\) 16.1882 18.9208i 0.889781 1.03998i −0.109162 0.994024i \(-0.534817\pi\)
0.998943 0.0459572i \(-0.0146338\pi\)
\(332\) 10.0499 + 6.68382i 0.551561 + 0.366822i
\(333\) −10.6099 + 2.48595i −0.581419 + 0.136229i
\(334\) −1.27217 + 44.2079i −0.0696103 + 2.41895i
\(335\) −5.28602 + 1.69738i −0.288806 + 0.0927377i
\(336\) 19.2810 2.22864i 1.05186 0.121582i
\(337\) 4.75379 13.4612i 0.258955 0.733278i −0.739252 0.673429i \(-0.764821\pi\)
0.998207 0.0598489i \(-0.0190619\pi\)
\(338\) 21.3620 + 6.85951i 1.16194 + 0.373108i
\(339\) 1.24694 + 0.247100i 0.0677247 + 0.0134206i
\(340\) 5.35488 + 4.32101i 0.290409 + 0.234340i
\(341\) −2.83986 6.35873i −0.153787 0.344345i
\(342\) −11.0714 + 0.382369i −0.598672 + 0.0206762i
\(343\) −20.7635 9.13021i −1.12112 0.492985i
\(344\) −0.226232 + 1.69951i −0.0121976 + 0.0916314i
\(345\) −2.77911 3.83439i −0.149622 0.206437i
\(346\) 26.9156 17.4572i 1.44699 0.938505i
\(347\) 14.4256 + 23.1056i 0.774409 + 1.24037i 0.965910 + 0.258880i \(0.0833533\pi\)
−0.191500 + 0.981493i \(0.561335\pi\)
\(348\) −1.87739 + 1.95457i −0.100639 + 0.104776i
\(349\) 2.77170 + 8.80543i 0.148366 + 0.471344i 0.998472 0.0552680i \(-0.0176013\pi\)
−0.850106 + 0.526612i \(0.823462\pi\)
\(350\) 21.3261 30.8962i 1.13993 1.65147i
\(351\) 4.09662 3.80111i 0.218662 0.202888i
\(352\) 10.4762 + 12.2446i 0.558381 + 0.652639i
\(353\) 0.684879 + 5.64049i 0.0364525 + 0.300213i 0.999521 + 0.0309557i \(0.00985510\pi\)
−0.963068 + 0.269257i \(0.913222\pi\)
\(354\) 2.04668 + 12.1517i 0.108780 + 0.645856i
\(355\) 0.614483 2.03357i 0.0326133 0.107931i
\(356\) −1.51804 23.9526i −0.0804558 1.26948i
\(357\) −0.139371 + 24.2221i −0.00737631 + 1.28197i
\(358\) 28.3955 + 8.40225i 1.50075 + 0.444073i
\(359\) 18.7905 1.08237i 0.991727 0.0571254i 0.445952 0.895057i \(-0.352865\pi\)
0.545775 + 0.837932i \(0.316235\pi\)
\(360\) −0.774606 + 0.528117i −0.0408253 + 0.0278342i
\(361\) −6.06824 + 9.23917i −0.319381 + 0.486272i
\(362\) −8.55082 44.4911i −0.449421 2.33840i
\(363\) 5.95112 + 1.61296i 0.312353 + 0.0846586i
\(364\) −1.75619 8.12422i −0.0920495 0.425825i
\(365\) 0.0701939 + 0.307540i 0.00367412 + 0.0160974i
\(366\) 2.17567 + 10.6571i 0.113724 + 0.557057i
\(367\) 25.1297 17.5601i 1.31176 0.916630i 0.312316 0.949978i \(-0.398895\pi\)
0.999444 + 0.0333481i \(0.0106170\pi\)
\(368\) −29.3430 8.31662i −1.52961 0.433534i
\(369\) −0.943047 12.5841i −0.0490931 0.655101i
\(370\) 1.30979 + 7.26513i 0.0680929 + 0.377696i
\(371\) −11.5511 13.1906i −0.599704 0.684824i
\(372\) 2.92993 4.35099i 0.151910 0.225588i
\(373\) −11.0785 + 11.8029i −0.573625 + 0.611131i −0.948821 0.315815i \(-0.897722\pi\)
0.375195 + 0.926946i \(0.377576\pi\)
\(374\) −19.5763 + 13.0195i −1.01227 + 0.673220i
\(375\) 0.806734 6.64406i 0.0416596 0.343098i
\(376\) 4.25798 0.196136i 0.219589 0.0101150i
\(377\) −1.48519 1.17048i −0.0764910 0.0602828i
\(378\) 39.4523 + 12.1694i 2.02921 + 0.625928i
\(379\) −16.7432 + 2.13081i −0.860038 + 0.109453i −0.543787 0.839223i \(-0.683010\pi\)
−0.316251 + 0.948676i \(0.602424\pi\)
\(380\) −0.0589642 + 3.41560i −0.00302480 + 0.175217i
\(381\) −3.72466 2.41578i −0.190820 0.123764i
\(382\) 1.63381 + 31.5220i 0.0835931 + 1.61281i
\(383\) −16.4982 30.1579i −0.843018 1.54100i −0.841023 0.540999i \(-0.818046\pi\)
−0.00199464 0.999998i \(-0.500635\pi\)
\(384\) 1.45478 4.62169i 0.0742388 0.235850i
\(385\) −4.21736 5.41509i −0.214937 0.275978i
\(386\) 0.527616 + 3.36886i 0.0268549 + 0.171470i
\(387\) −2.90021 + 4.76650i −0.147426 + 0.242295i
\(388\) 1.45427 + 13.2495i 0.0738293 + 0.672640i
\(389\) 24.6581 + 18.0891i 1.25021 + 0.917155i 0.998714 0.0507025i \(-0.0161460\pi\)
0.251499 + 0.967858i \(0.419076\pi\)
\(390\) −0.985908 1.17955i −0.0499234 0.0597286i
\(391\) 14.7173 35.1015i 0.744286 1.77516i
\(392\) −5.68680 + 5.15608i −0.287227 + 0.260421i
\(393\) 2.67898 5.81777i 0.135137 0.293468i
\(394\) −22.4131 + 31.6848i −1.12916 + 1.59626i
\(395\) 6.99536 3.46851i 0.351975 0.174520i
\(396\) 2.14252 + 7.09048i 0.107666 + 0.356310i
\(397\) 1.09065 0.406465i 0.0547379 0.0203999i −0.321701 0.946841i \(-0.604255\pi\)
0.376439 + 0.926441i \(0.377148\pi\)
\(398\) 14.5296 14.7826i 0.728305 0.740986i
\(399\) −9.53006 + 7.33448i −0.477100 + 0.367183i
\(400\) −10.5808 17.3896i −0.529042 0.869482i
\(401\) −13.5853 + 11.4885i −0.678416 + 0.573708i −0.917716 0.397238i \(-0.869969\pi\)
0.239299 + 0.970946i \(0.423082\pi\)
\(402\) 12.0764 7.63666i 0.602316 0.380882i
\(403\) 3.22099 + 1.73807i 0.160449 + 0.0865795i
\(404\) −2.17745 3.07820i −0.108332 0.153146i
\(405\) −0.969787 + 0.180605i −0.0481891 + 0.00897435i
\(406\) 2.00264 13.8260i 0.0993893 0.686171i
\(407\) −11.3899 1.44953i −0.564574 0.0718504i
\(408\) 3.17477 + 1.43985i 0.157175 + 0.0712831i
\(409\) −1.47322 + 2.92874i −0.0728458 + 0.144817i −0.926829 0.375483i \(-0.877477\pi\)
0.853983 + 0.520300i \(0.174180\pi\)
\(410\) −8.54663 + 0.196738i −0.422088 + 0.00971621i
\(411\) −2.92426 + 14.3240i −0.144243 + 0.706549i
\(412\) −11.0868 25.6120i −0.546208 1.26181i
\(413\) −20.5046 20.3870i −1.00897 1.00318i
\(414\) −20.3100 16.7783i −0.998180 0.824606i
\(415\) −4.55123 + 2.59285i −0.223411 + 0.127278i
\(416\) −8.28808 1.74176i −0.406356 0.0853967i
\(417\) −0.698080 + 0.917930i −0.0341851 + 0.0449512i
\(418\) −11.0715 3.69619i −0.541522 0.180787i
\(419\) 12.7901 + 1.03252i 0.624836 + 0.0504420i 0.388830 0.921310i \(-0.372879\pi\)
0.236006 + 0.971752i \(0.424161\pi\)
\(420\) 1.77751 4.85469i 0.0867338 0.236885i
\(421\) −1.03884 + 13.8623i −0.0506297 + 0.675607i 0.912930 + 0.408115i \(0.133814\pi\)
−0.963560 + 0.267492i \(0.913805\pi\)
\(422\) −46.4433 + 4.82736i −2.26083 + 0.234992i
\(423\) 12.9415 + 4.99342i 0.629237 + 0.242789i
\(424\) −2.41125 + 0.743773i −0.117101 + 0.0361208i
\(425\) 23.1353 10.4925i 1.12223 0.508962i
\(426\) −0.220149 + 5.46293i −0.0106662 + 0.264680i
\(427\) −18.7090 17.3594i −0.905391 0.840080i
\(428\) 15.0192 3.33723i 0.725979 0.161311i
\(429\) 2.21032 0.911820i 0.106715 0.0440231i
\(430\) 3.12300 + 2.12923i 0.150605 + 0.102680i
\(431\) 13.3109 + 7.99454i 0.641165 + 0.385083i 0.798100 0.602526i \(-0.205839\pi\)
−0.156935 + 0.987609i \(0.550161\pi\)
\(432\) 14.7481 16.8414i 0.709569 0.810283i
\(433\) 6.72228 + 25.3797i 0.323052 + 1.21967i 0.911556 + 0.411177i \(0.134882\pi\)
−0.588504 + 0.808495i \(0.700283\pi\)
\(434\) 0.777798 + 27.0284i 0.0373355 + 1.29740i
\(435\) −0.391654 1.10904i −0.0187784 0.0531744i
\(436\) 2.01324 + 4.11974i 0.0964169 + 0.197300i
\(437\) 18.2385 4.94327i 0.872465 0.236469i
\(438\) −0.373141 0.721013i −0.0178294 0.0344513i
\(439\) 15.1313 18.1032i 0.722180 0.864020i −0.273008 0.962012i \(-0.588018\pi\)
0.995187 + 0.0979916i \(0.0312418\pi\)
\(440\) −0.959087 + 0.236394i −0.0457227 + 0.0112696i
\(441\) −23.6952 + 7.91062i −1.12834 + 0.376696i
\(442\) 3.98013 11.6974i 0.189315 0.556390i
\(443\) −24.0367 4.47640i −1.14202 0.212680i −0.421973 0.906608i \(-0.638662\pi\)
−0.720044 + 0.693928i \(0.755878\pi\)
\(444\) −3.61733 7.85550i −0.171671 0.372805i
\(445\) 9.58239 + 4.08267i 0.454249 + 0.193537i
\(446\) −27.1356 36.5469i −1.28491 1.73055i
\(447\) −1.64752 2.57246i −0.0779251 0.121673i
\(448\) −7.07010 21.5903i −0.334031 1.02005i
\(449\) −22.5734 + 21.4337i −1.06530 + 1.01152i −0.0653977 + 0.997859i \(0.520832\pi\)
−0.999907 + 0.0136595i \(0.995652\pi\)
\(450\) −2.32006 17.4289i −0.109369 0.821604i
\(451\) 3.69924 12.7712i 0.174190 0.601374i
\(452\) −0.0125471 2.18062i −0.000590164 0.102568i
\(453\) −5.25994 + 0.363756i −0.247133 + 0.0170907i
\(454\) 8.03207 12.5414i 0.376964 0.588596i
\(455\) 3.49223 + 0.903510i 0.163718 + 0.0423572i
\(456\) 0.404507 + 1.68276i 0.0189428 + 0.0788025i
\(457\) 21.9979 15.7515i 1.02902 0.736824i 0.0637182 0.997968i \(-0.479704\pi\)
0.965300 + 0.261144i \(0.0840997\pi\)
\(458\) −2.92707 33.8302i −0.136773 1.58078i
\(459\) 18.6460 + 20.8046i 0.870321 + 0.971074i
\(460\) −5.49115 + 5.98677i −0.256026 + 0.279134i
\(461\) 0.212774 1.93853i 0.00990989 0.0902866i −0.988050 0.154136i \(-0.950741\pi\)
0.997960 + 0.0638493i \(0.0203377\pi\)
\(462\) 13.9986 + 10.7735i 0.651274 + 0.501230i
\(463\) 21.8385 3.03504i 1.01492 0.141050i 0.389247 0.921133i \(-0.372735\pi\)
0.625676 + 0.780083i \(0.284823\pi\)
\(464\) −6.40221 4.04851i −0.297215 0.187947i
\(465\) 1.11548 + 1.98445i 0.0517289 + 0.0920268i
\(466\) −20.2188 25.3536i −0.936620 1.17448i
\(467\) 12.9023 21.7651i 0.597047 1.00717i −0.398879 0.917003i \(-0.630601\pi\)
0.995927 0.0901663i \(-0.0287399\pi\)
\(468\) −3.16510 2.26636i −0.146307 0.104762i
\(469\) −12.6070 + 31.0662i −0.582139 + 1.43450i
\(470\) 3.83202 8.58027i 0.176758 0.395778i
\(471\) 4.08176 2.08272i 0.188078 0.0959667i
\(472\) −3.88236 + 1.49799i −0.178700 + 0.0689506i
\(473\) −4.61720 + 3.63883i −0.212299 + 0.167314i
\(474\) −15.1937 + 13.1515i −0.697868 + 0.604067i
\(475\) 11.1674 + 5.86109i 0.512394 + 0.268925i
\(476\) 40.7597 8.07714i 1.86822 0.370215i
\(477\) −8.15744 0.942897i −0.373503 0.0431723i
\(478\) 15.5188 31.7564i 0.709814 1.45251i
\(479\) 5.85208 30.4492i 0.267388 1.39126i −0.559471 0.828850i \(-0.688996\pi\)
0.826859 0.562409i \(-0.190125\pi\)
\(480\) −3.77800 3.67085i −0.172441 0.167550i
\(481\) 5.20840 3.04716i 0.237482 0.138939i
\(482\) −26.7407 + 36.0150i −1.21800 + 1.64044i
\(483\) −28.5295 1.97298i −1.29814 0.0897738i
\(484\) 0.669003 10.5560i 0.0304092 0.479817i
\(485\) −5.42040 2.02009i −0.246127 0.0917275i
\(486\) 27.9208 13.0523i 1.26651 0.592065i
\(487\) 26.9376 + 24.4236i 1.22066 + 1.10674i 0.991055 + 0.133455i \(0.0426073\pi\)
0.229603 + 0.973284i \(0.426257\pi\)
\(488\) −3.37913 + 1.43971i −0.152966 + 0.0651728i
\(489\) 13.8366 + 8.09509i 0.625714 + 0.366073i
\(490\) 4.52093 + 16.3080i 0.204235 + 0.736721i
\(491\) 1.05207 + 2.87338i 0.0474792 + 0.129674i 0.960533 0.278164i \(-0.0897260\pi\)
−0.913054 + 0.407838i \(0.866283\pi\)
\(492\) 9.63553 2.73097i 0.434403 0.123122i
\(493\) 5.97869 7.32257i 0.269267 0.329792i
\(494\) 5.79593 2.00939i 0.260771 0.0904065i
\(495\) −3.16679 0.552130i −0.142337 0.0248164i
\(496\) 13.5533 + 5.59112i 0.608560 + 0.251049i
\(497\) −7.04270 10.7228i −0.315908 0.480985i
\(498\) 9.66837 9.39414i 0.433250 0.420962i
\(499\) 3.40428 12.2800i 0.152397 0.549729i −0.847426 0.530913i \(-0.821849\pi\)
0.999823 0.0188162i \(-0.00598974\pi\)
\(500\) −11.4440 + 0.923854i −0.511791 + 0.0413160i
\(501\) 21.8318 + 5.38106i 0.975374 + 0.240408i
\(502\) −42.7364 + 31.3514i −1.90742 + 1.39928i
\(503\) 1.23326 + 1.34458i 0.0549885 + 0.0599517i 0.763838 0.645408i \(-0.223313\pi\)
−0.708849 + 0.705360i \(0.750785\pi\)
\(504\) −0.552895 + 5.63440i −0.0246279 + 0.250976i
\(505\) 1.61806 0.243883i 0.0720026 0.0108526i
\(506\) −13.8785 24.0382i −0.616973 1.06863i
\(507\) 5.70347 9.87871i 0.253300 0.438729i
\(508\) −2.78233 + 7.08926i −0.123446 + 0.314535i
\(509\) 22.0145 11.5541i 0.975773 0.512125i 0.100073 0.994980i \(-0.468092\pi\)
0.875700 + 0.482855i \(0.160400\pi\)
\(510\) 5.98092 4.82618i 0.264840 0.213707i
\(511\) 1.69682 + 0.865803i 0.0750629 + 0.0383009i
\(512\) −28.0394 2.91444i −1.23918 0.128801i
\(513\) −2.46089 + 13.6500i −0.108651 + 0.602662i
\(514\) −10.7382 + 6.44933i −0.473640 + 0.284468i
\(515\) 12.0919 + 0.696514i 0.532831 + 0.0306921i
\(516\) −4.16677 1.49850i −0.183432 0.0659680i
\(517\) 10.9398 + 9.69181i 0.481132 + 0.426246i
\(518\) 38.7353 + 22.0676i 1.70193 + 0.969597i
\(519\) −5.78380 15.2506i −0.253881 0.669428i
\(520\) 0.323678 0.405879i 0.0141942 0.0177990i
\(521\) −18.9353 3.07729i −0.829572 0.134819i −0.269226 0.963077i \(-0.586768\pi\)
−0.560346 + 0.828258i \(0.689332\pi\)
\(522\) −3.65460 5.42715i −0.159958 0.237540i
\(523\) −1.04862 + 3.95903i −0.0458530 + 0.173116i −0.985710 0.168452i \(-0.946123\pi\)
0.939857 + 0.341569i \(0.110958\pi\)
\(524\) −10.6976 2.50651i −0.467327 0.109497i
\(525\) −13.0626 13.9166i −0.570097 0.607372i
\(526\) 29.3195 4.76488i 1.27839 0.207759i
\(527\) −8.96552 + 15.9498i −0.390544 + 0.694786i
\(528\) 8.42901 4.54836i 0.366826 0.197942i
\(529\) 19.6536 + 9.74484i 0.854503 + 0.423689i
\(530\) −0.923945 + 5.48572i −0.0401336 + 0.238285i
\(531\) −13.5279 0.623136i −0.587059 0.0270418i
\(532\) 15.5977 + 13.5012i 0.676246 + 0.585351i
\(533\) 2.55297 + 6.50485i 0.110581 + 0.281756i
\(534\) −26.5071 3.99531i −1.14708 0.172894i
\(535\) −1.63520 + 6.47372i −0.0706957 + 0.279883i
\(536\) 3.34245 + 3.47985i 0.144372 + 0.150307i
\(537\) 7.22566 13.2082i 0.311810 0.569974i
\(538\) 32.3834 + 15.5950i 1.39615 + 0.672350i
\(539\) −26.3050 0.908487i −1.13303 0.0391313i
\(540\) −2.24218 5.52516i −0.0964879 0.237765i
\(541\) 7.53105 31.3294i 0.323785 1.34695i −0.539393 0.842054i \(-0.681346\pi\)
0.863178 0.504900i \(-0.168471\pi\)
\(542\) −8.56785 + 16.0989i −0.368021 + 0.691506i
\(543\) −23.0277 0.530085i −0.988215 0.0227481i
\(544\) 9.42118 41.2769i 0.403930 1.76973i
\(545\) −1.98983 0.0228993i −0.0852351 0.000980900i
\(546\) −9.28362 −0.397302
\(547\) 6.56332 + 22.4482i 0.280627 + 0.959817i
\(548\) 25.0788 1.07131
\(549\) −11.9524 0.137550i −0.510117 0.00587051i
\(550\) 4.12234 18.0612i 0.175777 0.770130i
\(551\) 4.69201 + 0.108007i 0.199886 + 0.00460126i
\(552\) −1.93359 + 3.63319i −0.0822990 + 0.154639i
\(553\) 11.0205 45.8456i 0.468640 1.94955i
\(554\) −3.77346 9.29853i −0.160319 0.395057i
\(555\) 3.75101 + 0.129547i 0.159221 + 0.00549898i
\(556\) 1.78237 + 0.858344i 0.0755893 + 0.0364019i
\(557\) 15.4441 28.2311i 0.654389 1.19619i −0.314632 0.949214i \(-0.601881\pi\)
0.969021 0.246978i \(-0.0794377\pi\)
\(558\) 8.77261 + 9.13325i 0.371374 + 0.386641i
\(559\) 0.756640 2.99553i 0.0320025 0.126697i
\(560\) 14.2884 + 2.15363i 0.603794 + 0.0910073i
\(561\) 4.36692 + 11.1267i 0.184372 + 0.469771i
\(562\) −2.82169 2.44243i −0.119026 0.103028i
\(563\) −18.3314 0.844403i −0.772577 0.0355873i −0.343853 0.939023i \(-0.611732\pi\)
−0.428723 + 0.903436i \(0.641036\pi\)
\(564\) −1.82842 + 10.8558i −0.0769903 + 0.457113i
\(565\) 0.847868 + 0.420399i 0.0356701 + 0.0176863i
\(566\) −27.1046 + 14.6259i −1.13929 + 0.614771i
\(567\) −2.91898 + 5.19292i −0.122586 + 0.218082i
\(568\) −1.82238 + 0.296165i −0.0764652 + 0.0124268i
\(569\) 4.05567 + 4.32084i 0.170022 + 0.181139i 0.808490 0.588509i \(-0.200285\pi\)
−0.638468 + 0.769648i \(0.720432\pi\)
\(570\) 3.71488 + 0.870415i 0.155599 + 0.0364577i
\(571\) 7.05920 26.6518i 0.295418 1.11534i −0.641878 0.766807i \(-0.721844\pi\)
0.937296 0.348534i \(-0.113321\pi\)
\(572\) −2.29100 3.40217i −0.0957915 0.142252i
\(573\) 15.8399 + 2.57424i 0.661722 + 0.107540i
\(574\) −32.1880 + 40.3624i −1.34350 + 1.68469i
\(575\) 10.6353 + 28.0429i 0.443522 + 1.16947i
\(576\) −9.24510 5.26697i −0.385213 0.219457i
\(577\) −27.7031 24.5428i −1.15330 1.02173i −0.999434 0.0336394i \(-0.989290\pi\)
−0.153863 0.988092i \(-0.549171\pi\)
\(578\) 27.4749 + 9.88087i 1.14281 + 0.410990i
\(579\) 1.73078 + 0.0996965i 0.0719289 + 0.00414324i
\(580\) −1.72966 + 1.03883i −0.0718201 + 0.0431351i
\(581\) −5.61219 + 31.1296i −0.232833 + 1.29147i
\(582\) 14.8076 + 1.53911i 0.613794 + 0.0637983i
\(583\) −7.70689 3.93244i −0.319187 0.162865i
\(584\) 0.213355 0.172162i 0.00882869 0.00712413i
\(585\) 1.49592 0.785119i 0.0618486 0.0324607i
\(586\) 11.8417 30.1721i 0.489175 1.24640i
\(587\) −6.51559 + 11.2853i −0.268927 + 0.465796i −0.968585 0.248682i \(-0.920002\pi\)
0.699658 + 0.714478i \(0.253336\pi\)
\(588\) −9.91272 17.1693i −0.408794 0.708051i
\(589\) −8.98237 + 1.35387i −0.370112 + 0.0557854i
\(590\) −0.895932 + 9.13021i −0.0368849 + 0.375885i
\(591\) 13.3377 + 14.5415i 0.548638 + 0.598158i
\(592\) 19.4900 14.2979i 0.801035 0.587639i
\(593\) 26.7971 + 6.60489i 1.10042 + 0.271230i 0.747393 0.664382i \(-0.231305\pi\)
0.353030 + 0.935612i \(0.385151\pi\)
\(594\) 20.3075 1.63939i 0.833228 0.0672651i
\(595\) −4.81745 + 17.3776i −0.197496 + 0.712413i
\(596\) −3.75841 + 3.65181i −0.153951 + 0.149584i
\(597\) −5.78522 8.80827i −0.236773 0.360498i
\(598\) 13.4854 + 5.56312i 0.551459 + 0.227493i
\(599\) −19.7998 3.45210i −0.808999 0.141049i −0.247887 0.968789i \(-0.579736\pi\)
−0.561112 + 0.827740i \(0.689626\pi\)
\(600\) −2.59536 + 0.899782i −0.105955 + 0.0367334i
\(601\) −9.19740 + 11.2648i −0.375170 + 0.459500i −0.927333 0.374236i \(-0.877905\pi\)
0.552164 + 0.833736i \(0.313802\pi\)
\(602\) 21.9605 6.22421i 0.895044 0.253680i
\(603\) 5.39876 + 14.7449i 0.219855 + 0.600460i
\(604\) 2.41625 + 8.71596i 0.0983158 + 0.354647i
\(605\) 3.96205 + 2.31799i 0.161080 + 0.0942396i
\(606\) −3.87431 + 1.65069i −0.157383 + 0.0670547i
\(607\) 11.0757 + 10.0420i 0.449548 + 0.407594i 0.864803 0.502111i \(-0.167443\pi\)
−0.415255 + 0.909705i \(0.636308\pi\)
\(608\) 19.0417 8.90154i 0.772244 0.361005i
\(609\) −6.65549 2.48039i −0.269694 0.100510i
\(610\) −0.512173 + 8.08139i −0.0207373 + 0.327206i
\(611\) −7.66292 0.529936i −0.310008 0.0214389i
\(612\) 11.6013 15.6249i 0.468955 0.631600i
\(613\) −6.83071 + 3.99629i −0.275890 + 0.161409i −0.636429 0.771335i \(-0.719589\pi\)
0.360539 + 0.932744i \(0.382593\pi\)
\(614\) −10.2992 10.0071i −0.415641 0.403852i
\(615\) −0.820325 + 4.26826i −0.0330787 + 0.172113i
\(616\) −2.61905 + 5.35940i −0.105524 + 0.215936i
\(617\) −16.2973 1.88376i −0.656103 0.0758372i −0.219670 0.975574i \(-0.570498\pi\)
−0.436433 + 0.899737i \(0.643758\pi\)
\(618\) −30.5769 + 6.05926i −1.22998 + 0.243739i
\(619\) 1.60880 + 0.844366i 0.0646633 + 0.0339379i 0.496745 0.867897i \(-0.334528\pi\)
−0.432082 + 0.901835i \(0.642221\pi\)
\(620\) 2.95266 2.55580i 0.118582 0.102643i
\(621\) −25.9056 + 20.4163i −1.03955 + 0.819276i
\(622\) 17.8053 6.87012i 0.713929 0.275467i
\(623\) 56.0277 28.5882i 2.24470 1.14536i
\(624\) −2.05269 + 4.59617i −0.0821732 + 0.183994i
\(625\) −6.53828 + 16.1116i −0.261531 + 0.644464i
\(626\) 34.2403 + 24.5176i 1.36852 + 0.979921i
\(627\) −3.02608 + 5.10475i −0.120850 + 0.203864i
\(628\) −4.90118 6.14588i −0.195578 0.245247i
\(629\) 14.7815 + 26.2966i 0.589378 + 1.04851i
\(630\) 10.5490 + 6.67081i 0.420284 + 0.265771i
\(631\) −32.7730 + 4.55468i −1.30467 + 0.181319i −0.755919 0.654665i \(-0.772810\pi\)
−0.548754 + 0.835984i \(0.684898\pi\)
\(632\) −5.37768 4.13874i −0.213912 0.164630i
\(633\) −2.59012 + 23.5979i −0.102948 + 0.937933i
\(634\) −38.9665 + 42.4836i −1.54756 + 1.68724i
\(635\) −2.20588 2.46125i −0.0875376 0.0976715i
\(636\) −0.561773 6.49281i −0.0222758 0.257457i
\(637\) 11.2470 8.05335i 0.445622 0.319085i
\(638\) −1.61127 6.70293i −0.0637908 0.265371i
\(639\) −5.81683 1.50493i −0.230110 0.0595341i
\(640\) 1.94541 3.03759i 0.0768993 0.120071i
\(641\) 45.0891 3.11818i 1.78091 0.123161i 0.859350 0.511388i \(-0.170868\pi\)
0.921564 + 0.388227i \(0.126912\pi\)
\(642\) −0.0988745 17.1839i −0.00390226 0.678195i
\(643\) −7.71947 + 26.6507i −0.304426 + 1.05100i 0.651805 + 0.758387i \(0.274012\pi\)
−0.956231 + 0.292614i \(0.905475\pi\)
\(644\) 6.47326 + 48.6286i 0.255082 + 1.91624i
\(645\) 1.39357 1.32321i 0.0548716 0.0521013i
\(646\) 9.54360 + 29.1438i 0.375488 + 1.14665i
\(647\) 24.7671 + 38.6717i 0.973696 + 1.52034i 0.849166 + 0.528126i \(0.177105\pi\)
0.124530 + 0.992216i \(0.460258\pi\)
\(648\) 0.511079 + 0.688334i 0.0200771 + 0.0270403i
\(649\) −13.1268 5.59279i −0.515270 0.219536i
\(650\) 4.07236 + 8.84367i 0.159731 + 0.346877i
\(651\) 13.5149 + 2.51691i 0.529691 + 0.0986454i
\(652\) 8.85823 26.0340i 0.346915 1.01957i
\(653\) −40.8185 + 13.6272i −1.59735 + 0.533274i −0.969507 0.245065i \(-0.921191\pi\)
−0.627844 + 0.778339i \(0.716063\pi\)
\(654\) 4.97260 1.22564i 0.194444 0.0479262i
\(655\) 3.05801 3.65862i 0.119486 0.142954i
\(656\) 12.8657 + 24.8602i 0.502323 + 0.970627i
\(657\) 0.861109 0.233391i 0.0335951 0.00910544i
\(658\) −24.9156 50.9853i −0.971313 1.98761i
\(659\) −15.1051 42.7728i −0.588412 1.66619i −0.735868 0.677125i \(-0.763226\pi\)
0.147456 0.989069i \(-0.452892\pi\)
\(660\) −0.0733847 2.55011i −0.00285650 0.0992628i
\(661\) −10.7760 40.6845i −0.419139 1.58244i −0.764918 0.644127i \(-0.777221\pi\)
0.345780 0.938316i \(-0.387614\pi\)
\(662\) −31.4316 + 35.8929i −1.22162 + 1.39502i
\(663\) −5.38532 3.23442i −0.209149 0.125615i
\(664\) 3.76128 + 2.56440i 0.145966 + 0.0995180i
\(665\) −8.27623 + 3.41419i −0.320939 + 0.132397i
\(666\) 20.3820 4.52884i 0.789787 0.175489i
\(667\) 8.18143 + 7.59126i 0.316786 + 0.293935i
\(668\) 1.55314 38.5408i 0.0600929 1.49119i
\(669\) −21.0764 + 9.55875i −0.814862 + 0.369562i
\(670\) 10.1648 3.13541i 0.392699 0.121132i
\(671\) −11.7500 4.53369i −0.453603 0.175021i
\(672\) −31.6402 + 3.28871i −1.22055 + 0.126865i
\(673\) 2.22396 29.6767i 0.0857274 1.14395i −0.773995 0.633192i \(-0.781744\pi\)
0.859722 0.510761i \(-0.170636\pi\)
\(674\) −9.40443 + 25.6851i −0.362245 + 0.989352i
\(675\) −21.9427 1.77140i −0.844575 0.0681811i
\(676\) −18.5609 6.19655i −0.713882 0.238329i
\(677\) −25.4617 + 33.4805i −0.978573 + 1.28676i −0.0206347 + 0.999787i \(0.506569\pi\)
−0.957938 + 0.286974i \(0.907351\pi\)
\(678\) −2.38354 0.500905i −0.0915391 0.0192371i
\(679\) −30.3522 + 17.2918i −1.16481 + 0.663597i
\(680\) 2.00082 + 1.65290i 0.0767279 + 0.0633857i
\(681\) −5.36944 5.33864i −0.205758 0.204577i
\(682\) 5.30061 + 12.2451i 0.202971 + 0.468890i
\(683\) 1.14479 5.60757i 0.0438043 0.214568i −0.951997 0.306107i \(-0.900974\pi\)
0.995801 + 0.0915392i \(0.0291787\pi\)
\(684\) 9.65916 0.222348i 0.369327 0.00850169i
\(685\) −4.89085 + 9.72299i −0.186870 + 0.371496i
\(686\) 39.5789 + 17.9501i 1.51113 + 0.685338i
\(687\) −17.1259 2.17952i −0.653393 0.0831539i
\(688\) 1.77415 12.2485i 0.0676388 0.466970i
\(689\) 4.47035 0.832521i 0.170307 0.0317165i
\(690\) 5.23988 + 7.40747i 0.199479 + 0.281998i
\(691\) −6.76077 3.64817i −0.257192 0.138783i 0.341189 0.939995i \(-0.389171\pi\)
−0.598380 + 0.801212i \(0.704189\pi\)
\(692\) −23.6483 + 14.9543i −0.898972 + 0.568476i
\(693\) −14.8227 + 12.5349i −0.563067 + 0.476162i
\(694\) −27.1282 44.5854i −1.02977 1.69244i
\(695\) −0.680374 + 0.523626i −0.0258081 + 0.0198623i
\(696\) −0.716535 + 0.729012i −0.0271602 + 0.0276331i
\(697\) −32.7342 + 12.1995i −1.23990 + 0.462088i
\(698\) −5.11608 16.9312i −0.193646 0.640855i
\(699\) −14.7711 + 7.32394i −0.558693 + 0.277017i
\(700\) −18.9086 + 26.7305i −0.714676 + 1.01032i
\(701\) −3.34508 + 7.26427i −0.126342 + 0.274368i −0.961075 0.276286i \(-0.910896\pi\)
0.834734 + 0.550654i \(0.185622\pi\)
\(702\) −7.93241 + 7.19211i −0.299389 + 0.271449i
\(703\) −5.79094 + 13.8117i −0.218410 + 0.520918i
\(704\) −7.18970 8.60180i −0.270972 0.324193i
\(705\) −3.85220 2.82597i −0.145082 0.106432i
\(706\) −1.18778 10.8216i −0.0447026 0.407274i
\(707\) 5.13641 8.44171i 0.193175 0.317483i
\(708\) −1.66295 10.6180i −0.0624974 0.399050i
\(709\) −21.8446 28.0484i −0.820392 1.05338i −0.997602 0.0692082i \(-0.977953\pi\)
0.177210 0.984173i \(-0.443293\pi\)
\(710\) −1.22211 + 3.88251i −0.0458648 + 0.145708i
\(711\) −10.5986 19.3738i −0.397480 0.726574i
\(712\) −0.468562 9.04021i −0.0175601 0.338796i
\(713\) −18.1235 11.7547i −0.678732 0.440219i
\(714\) 0.801070 46.4033i 0.0299793 1.73660i
\(715\) 1.76580 0.224724i 0.0660373 0.00840422i
\(716\) −24.6793 7.61257i −0.922310 0.284495i
\(717\) −14.1139 11.1232i −0.527092 0.415403i
\(718\) −36.0241 + 1.65939i −1.34441 + 0.0619277i
\(719\) −1.49315 + 12.2972i −0.0556850 + 0.458607i 0.938020 + 0.346581i \(0.112657\pi\)
−0.993705 + 0.112027i \(0.964266\pi\)
\(720\) 5.63509 3.74768i 0.210007 0.139668i
\(721\) 50.0568 53.3296i 1.86421 1.98610i
\(722\) 11.8297 17.5673i 0.440255 0.653786i
\(723\) 15.0246 + 17.1572i 0.558771 + 0.638082i
\(724\) 7.01062 + 38.8864i 0.260548 + 1.44520i
\(725\) 0.556662 + 7.42814i 0.0206739 + 0.275874i
\(726\) −11.3660 3.22144i −0.421833 0.119559i
\(727\) 37.3920 26.1288i 1.38679 0.969063i 0.387916 0.921695i \(-0.373195\pi\)
0.998877 0.0473682i \(-0.0150834\pi\)
\(728\) −0.627081 3.07164i −0.0232412 0.113843i
\(729\) −2.57881 11.2985i −0.0955117 0.418464i
\(730\) −0.127702 0.590754i −0.00472646 0.0218648i
\(731\) 14.9076 + 4.04047i 0.551376 + 0.149442i
\(732\) −1.79044 9.31589i −0.0661764 0.344325i
\(733\) 21.1613 32.2190i 0.781609 1.19004i −0.196205 0.980563i \(-0.562862\pi\)
0.977814 0.209473i \(-0.0671747\pi\)
\(734\) −48.5324 + 33.0888i −1.79136 + 1.22133i
\(735\) 8.58968 0.494782i 0.316835 0.0182503i
\(736\) 47.9314 + 14.1829i 1.76677 + 0.522789i
\(737\) −0.0951932 + 16.5441i −0.00350648 + 0.609411i
\(738\) 1.52930 + 24.1303i 0.0562943 + 0.888248i
\(739\) 0.656817 2.17367i 0.0241614 0.0799599i −0.944337 0.328980i \(-0.893295\pi\)
0.968498 + 0.249020i \(0.0801084\pi\)
\(740\) −1.06935 6.34905i −0.0393102 0.233396i
\(741\) −0.375929 3.09605i −0.0138101 0.113736i
\(742\) 21.8396 + 25.5263i 0.801757 + 0.937098i
\(743\) 12.2073 11.3267i 0.447841 0.415535i −0.423743 0.905783i \(-0.639284\pi\)
0.871583 + 0.490247i \(0.163093\pi\)
\(744\) 1.12390 1.62825i 0.0412040 0.0596944i
\(745\) −0.682835 2.16930i −0.0250171 0.0794770i
\(746\) 21.4853 22.3686i 0.786633 0.818971i
\(747\) 7.84568 + 12.5664i 0.287058 + 0.459782i
\(748\) 17.2031 11.1578i 0.629008 0.407968i
\(749\)