Properties

Label 403.2.v.a.36.14
Level 403
Weight 2
Character 403.36
Analytic conductor 3.218
Analytic rank 0
Dimension 70
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(70\)
Relative dimension: \(35\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 36.14
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.793251 + 0.457984i) q^{2} -1.36967 q^{3} +(-0.580502 + 1.00546i) q^{4} +(3.20188 - 1.84861i) q^{5} +(1.08649 - 0.627285i) q^{6} +(1.32037 - 0.762317i) q^{7} -2.89538i q^{8} -1.12401 q^{9} +O(q^{10})\) \(q+(-0.793251 + 0.457984i) q^{2} -1.36967 q^{3} +(-0.580502 + 1.00546i) q^{4} +(3.20188 - 1.84861i) q^{5} +(1.08649 - 0.627285i) q^{6} +(1.32037 - 0.762317i) q^{7} -2.89538i q^{8} -1.12401 q^{9} +(-1.69327 + 2.93282i) q^{10} +(-2.03919 - 1.17733i) q^{11} +(0.795094 - 1.37714i) q^{12} +(-1.76551 + 3.14372i) q^{13} +(-0.698257 + 1.20942i) q^{14} +(-4.38552 + 2.53198i) q^{15} +(0.165031 + 0.285841i) q^{16} +(-3.85035 - 6.66899i) q^{17} +(0.891624 - 0.514779i) q^{18} +(6.76750 - 3.90722i) q^{19} +4.29249i q^{20} +(-1.80847 + 1.04412i) q^{21} +2.15679 q^{22} +(0.106897 + 0.185150i) q^{23} +3.96570i q^{24} +(4.33471 - 7.50794i) q^{25} +(-0.0392803 - 3.30233i) q^{26} +5.64852 q^{27} +1.77011i q^{28} +(-2.38176 - 4.12533i) q^{29} +(2.31921 - 4.01699i) q^{30} +(5.56434 - 0.195323i) q^{31} +(4.75312 + 2.74421i) q^{32} +(2.79301 + 1.61255i) q^{33} +(6.10858 + 3.52679i) q^{34} +(2.81845 - 4.88170i) q^{35} +(0.652492 - 1.13015i) q^{36} -2.48625i q^{37} +(-3.57888 + 6.19881i) q^{38} +(2.41816 - 4.30585i) q^{39} +(-5.35242 - 9.27066i) q^{40} +(1.08431 + 0.626026i) q^{41} +(0.956379 - 1.65650i) q^{42} +(1.06837 + 1.85047i) q^{43} +(2.36751 - 1.36688i) q^{44} +(-3.59896 + 2.07786i) q^{45} +(-0.169592 - 0.0979137i) q^{46} -1.38056i q^{47} +(-0.226037 - 0.391508i) q^{48} +(-2.33775 + 4.04910i) q^{49} +7.94091i q^{50} +(5.27369 + 9.13430i) q^{51} +(-2.13600 - 3.60008i) q^{52} +(-6.75223 - 11.6952i) q^{53} +(-4.48070 + 2.58693i) q^{54} -8.70568 q^{55} +(-2.20719 - 3.82297i) q^{56} +(-9.26922 + 5.35159i) q^{57} +(3.77867 + 2.18162i) q^{58} +(9.62507 - 5.55704i) q^{59} -5.87928i q^{60} +(-1.06115 + 1.83796i) q^{61} +(-4.32446 + 2.70332i) q^{62} +(-1.48411 + 0.856853i) q^{63} -5.68734 q^{64} +(0.158551 + 13.3296i) q^{65} -2.95408 q^{66} +(-1.98367 - 1.14527i) q^{67} +8.94053 q^{68} +(-0.146413 - 0.253594i) q^{69} +5.16322i q^{70} +9.58086i q^{71} +3.25444i q^{72} +(-4.64201 + 2.68006i) q^{73} +(1.13866 + 1.97222i) q^{74} +(-5.93711 + 10.2834i) q^{75} +9.07259i q^{76} -3.58999 q^{77} +(0.0538009 + 4.52310i) q^{78} +(-1.55480 + 2.69300i) q^{79} +(1.05682 + 0.610154i) q^{80} -4.36456 q^{81} -1.14684 q^{82} +(7.57762 - 4.37494i) q^{83} -2.42445i q^{84} +(-24.6567 - 14.2356i) q^{85} +(-1.69497 - 0.978589i) q^{86} +(3.26222 + 5.65033i) q^{87} +(-3.40881 + 5.90423i) q^{88} +(3.51586 - 2.02988i) q^{89} +(1.90325 - 3.29653i) q^{90} +(0.0653823 + 5.49675i) q^{91} -0.248215 q^{92} +(-7.62129 + 0.267527i) q^{93} +(0.632272 + 1.09513i) q^{94} +(14.4458 - 25.0209i) q^{95} +(-6.51019 - 3.75866i) q^{96} +(-1.78878 - 1.03275i) q^{97} -4.28260i q^{98} +(2.29208 + 1.32333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} + O(q^{10}) \) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} - q^{10} - 6q^{11} + 13q^{12} - 14q^{13} - 14q^{14} - 15q^{15} - 28q^{16} + 6q^{17} + 12q^{19} + 9q^{21} - 8q^{22} + 10q^{23} + 19q^{25} + 34q^{27} - 18q^{29} - 31q^{30} + 2q^{31} + 36q^{32} - 12q^{33} - 9q^{34} - 12q^{35} + 8q^{36} - 21q^{38} - 30q^{39} + 5q^{40} + 18q^{41} - 49q^{42} + 19q^{43} - 42q^{44} - 63q^{45} - 6q^{46} - 27q^{48} + 9q^{49} - 7q^{51} - 43q^{52} - 22q^{53} + 18q^{54} + 30q^{55} + 25q^{56} - 15q^{57} - 12q^{58} + 33q^{59} - 13q^{61} - 17q^{62} - 6q^{63} - 38q^{64} + 9q^{65} - 52q^{66} + 30q^{67} + 88q^{68} - 16q^{69} + 9q^{73} - 19q^{74} + 25q^{75} + 34q^{77} + 14q^{78} + 6q^{79} + 6q^{80} + 22q^{81} - 78q^{82} + 54q^{83} - 33q^{85} + 24q^{86} - 14q^{87} + 16q^{88} - 6q^{89} - 11q^{90} - 70q^{91} - 6q^{92} + 7q^{93} - 43q^{94} + 25q^{95} - 36q^{96} - 75q^{97} - 93q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.793251 + 0.457984i −0.560913 + 0.323843i −0.753512 0.657434i \(-0.771642\pi\)
0.192599 + 0.981278i \(0.438308\pi\)
\(3\) −1.36967 −0.790778 −0.395389 0.918514i \(-0.629390\pi\)
−0.395389 + 0.918514i \(0.629390\pi\)
\(4\) −0.580502 + 1.00546i −0.290251 + 0.502730i
\(5\) 3.20188 1.84861i 1.43193 0.826723i 0.434659 0.900595i \(-0.356869\pi\)
0.997268 + 0.0738721i \(0.0235357\pi\)
\(6\) 1.08649 0.627285i 0.443557 0.256088i
\(7\) 1.32037 0.762317i 0.499053 0.288129i −0.229269 0.973363i \(-0.573634\pi\)
0.728323 + 0.685234i \(0.240300\pi\)
\(8\) 2.89538i 1.02367i
\(9\) −1.12401 −0.374671
\(10\) −1.69327 + 2.93282i −0.535457 + 0.927440i
\(11\) −2.03919 1.17733i −0.614840 0.354978i 0.160018 0.987114i \(-0.448845\pi\)
−0.774857 + 0.632136i \(0.782178\pi\)
\(12\) 0.795094 1.37714i 0.229524 0.397547i
\(13\) −1.76551 + 3.14372i −0.489664 + 0.871911i
\(14\) −0.698257 + 1.20942i −0.186617 + 0.323230i
\(15\) −4.38552 + 2.53198i −1.13234 + 0.653754i
\(16\) 0.165031 + 0.285841i 0.0412577 + 0.0714604i
\(17\) −3.85035 6.66899i −0.933846 1.61747i −0.776679 0.629897i \(-0.783097\pi\)
−0.157167 0.987572i \(-0.550236\pi\)
\(18\) 0.891624 0.514779i 0.210158 0.121335i
\(19\) 6.76750 3.90722i 1.55257 0.896377i 0.554639 0.832091i \(-0.312856\pi\)
0.997932 0.0642858i \(-0.0204769\pi\)
\(20\) 4.29249i 0.959829i
\(21\) −1.80847 + 1.04412i −0.394640 + 0.227846i
\(22\) 2.15679 0.459829
\(23\) 0.106897 + 0.185150i 0.0222895 + 0.0386065i 0.876955 0.480573i \(-0.159571\pi\)
−0.854666 + 0.519179i \(0.826238\pi\)
\(24\) 3.96570i 0.809495i
\(25\) 4.33471 7.50794i 0.866942 1.50159i
\(26\) −0.0392803 3.30233i −0.00770350 0.647641i
\(27\) 5.64852 1.08706
\(28\) 1.77011i 0.334518i
\(29\) −2.38176 4.12533i −0.442282 0.766055i 0.555576 0.831465i \(-0.312498\pi\)
−0.997858 + 0.0654106i \(0.979164\pi\)
\(30\) 2.31921 4.01699i 0.423428 0.733398i
\(31\) 5.56434 0.195323i 0.999384 0.0350810i
\(32\) 4.75312 + 2.74421i 0.840240 + 0.485113i
\(33\) 2.79301 + 1.61255i 0.486201 + 0.280709i
\(34\) 6.10858 + 3.52679i 1.04761 + 0.604840i
\(35\) 2.81845 4.88170i 0.476405 0.825158i
\(36\) 0.652492 1.13015i 0.108749 0.188358i
\(37\) 2.48625i 0.408737i −0.978894 0.204369i \(-0.934486\pi\)
0.978894 0.204369i \(-0.0655141\pi\)
\(38\) −3.57888 + 6.19881i −0.580571 + 1.00558i
\(39\) 2.41816 4.30585i 0.387215 0.689488i
\(40\) −5.35242 9.27066i −0.846292 1.46582i
\(41\) 1.08431 + 0.626026i 0.169341 + 0.0977688i 0.582275 0.812992i \(-0.302163\pi\)
−0.412934 + 0.910761i \(0.635496\pi\)
\(42\) 0.956379 1.65650i 0.147573 0.255603i
\(43\) 1.06837 + 1.85047i 0.162924 + 0.282193i 0.935916 0.352223i \(-0.114574\pi\)
−0.772992 + 0.634416i \(0.781241\pi\)
\(44\) 2.36751 1.36688i 0.356916 0.206065i
\(45\) −3.59896 + 2.07786i −0.536501 + 0.309749i
\(46\) −0.169592 0.0979137i −0.0250049 0.0144366i
\(47\) 1.38056i 0.201375i −0.994918 0.100687i \(-0.967896\pi\)
0.994918 0.100687i \(-0.0321042\pi\)
\(48\) −0.226037 0.391508i −0.0326256 0.0565092i
\(49\) −2.33775 + 4.04910i −0.333964 + 0.578442i
\(50\) 7.94091i 1.12301i
\(51\) 5.27369 + 9.13430i 0.738464 + 1.27906i
\(52\) −2.13600 3.60008i −0.296210 0.499242i
\(53\) −6.75223 11.6952i −0.927491 1.60646i −0.787506 0.616307i \(-0.788628\pi\)
−0.139985 0.990154i \(-0.544705\pi\)
\(54\) −4.48070 + 2.58693i −0.609746 + 0.352037i
\(55\) −8.70568 −1.17387
\(56\) −2.20719 3.82297i −0.294949 0.510866i
\(57\) −9.26922 + 5.35159i −1.22774 + 0.708835i
\(58\) 3.77867 + 2.18162i 0.496163 + 0.286460i
\(59\) 9.62507 5.55704i 1.25308 0.723465i 0.281358 0.959603i \(-0.409215\pi\)
0.971720 + 0.236138i \(0.0758817\pi\)
\(60\) 5.87928i 0.759011i
\(61\) −1.06115 + 1.83796i −0.135866 + 0.235326i −0.925928 0.377700i \(-0.876715\pi\)
0.790062 + 0.613027i \(0.210048\pi\)
\(62\) −4.32446 + 2.70332i −0.549207 + 0.343321i
\(63\) −1.48411 + 0.856853i −0.186981 + 0.107953i
\(64\) −5.68734 −0.710918
\(65\) 0.158551 + 13.3296i 0.0196659 + 1.65333i
\(66\) −2.95408 −0.363622
\(67\) −1.98367 1.14527i −0.242344 0.139917i 0.373910 0.927465i \(-0.378017\pi\)
−0.616253 + 0.787548i \(0.711350\pi\)
\(68\) 8.94053 1.08420
\(69\) −0.146413 0.253594i −0.0176260 0.0305292i
\(70\) 5.16322i 0.617122i
\(71\) 9.58086i 1.13704i 0.822670 + 0.568519i \(0.192484\pi\)
−0.822670 + 0.568519i \(0.807516\pi\)
\(72\) 3.25444i 0.383539i
\(73\) −4.64201 + 2.68006i −0.543306 + 0.313678i −0.746418 0.665478i \(-0.768228\pi\)
0.203112 + 0.979156i \(0.434895\pi\)
\(74\) 1.13866 + 1.97222i 0.132367 + 0.229266i
\(75\) −5.93711 + 10.2834i −0.685558 + 1.18742i
\(76\) 9.07259i 1.04070i
\(77\) −3.58999 −0.409117
\(78\) 0.0538009 + 4.52310i 0.00609176 + 0.512140i
\(79\) −1.55480 + 2.69300i −0.174929 + 0.302986i −0.940137 0.340798i \(-0.889303\pi\)
0.765208 + 0.643783i \(0.222636\pi\)
\(80\) 1.05682 + 0.610154i 0.118156 + 0.0682173i
\(81\) −4.36456 −0.484951
\(82\) −1.14684 −0.126647
\(83\) 7.57762 4.37494i 0.831752 0.480212i −0.0227000 0.999742i \(-0.507226\pi\)
0.854452 + 0.519530i \(0.173893\pi\)
\(84\) 2.42445i 0.264530i
\(85\) −24.6567 14.2356i −2.67440 1.54406i
\(86\) −1.69497 0.978589i −0.182773 0.105524i
\(87\) 3.26222 + 5.65033i 0.349747 + 0.605779i
\(88\) −3.40881 + 5.90423i −0.363380 + 0.629393i
\(89\) 3.51586 2.02988i 0.372680 0.215167i −0.301948 0.953324i \(-0.597637\pi\)
0.674629 + 0.738157i \(0.264304\pi\)
\(90\) 1.90325 3.29653i 0.200620 0.347485i
\(91\) 0.0653823 + 5.49675i 0.00685393 + 0.576216i
\(92\) −0.248215 −0.0258782
\(93\) −7.62129 + 0.267527i −0.790291 + 0.0277413i
\(94\) 0.632272 + 1.09513i 0.0652138 + 0.112954i
\(95\) 14.4458 25.0209i 1.48211 2.56709i
\(96\) −6.51019 3.75866i −0.664443 0.383616i
\(97\) −1.78878 1.03275i −0.181623 0.104860i 0.406432 0.913681i \(-0.366773\pi\)
−0.588055 + 0.808821i \(0.700106\pi\)
\(98\) 4.28260i 0.432608i
\(99\) 2.29208 + 1.32333i 0.230362 + 0.133000i
\(100\) 5.03262 + 8.71675i 0.503262 + 0.871675i
\(101\) 8.13122 + 14.0837i 0.809087 + 1.40138i 0.913497 + 0.406845i \(0.133371\pi\)
−0.104410 + 0.994534i \(0.533296\pi\)
\(102\) −8.36672 4.83053i −0.828429 0.478294i
\(103\) 1.22763 + 2.12632i 0.120962 + 0.209513i 0.920147 0.391572i \(-0.128069\pi\)
−0.799185 + 0.601085i \(0.794735\pi\)
\(104\) 9.10225 + 5.11181i 0.892549 + 0.501255i
\(105\) −3.86034 + 6.68630i −0.376730 + 0.652516i
\(106\) 10.7124 + 6.18482i 1.04048 + 0.600723i
\(107\) −13.4579 −1.30102 −0.650511 0.759497i \(-0.725445\pi\)
−0.650511 + 0.759497i \(0.725445\pi\)
\(108\) −3.27898 + 5.67936i −0.315520 + 0.546497i
\(109\) 11.0548i 1.05886i −0.848354 0.529430i \(-0.822406\pi\)
0.848354 0.529430i \(-0.177594\pi\)
\(110\) 6.90579 3.98706i 0.658441 0.380151i
\(111\) 3.40534i 0.323220i
\(112\) 0.435803 + 0.251611i 0.0411795 + 0.0237750i
\(113\) 10.8087 1.01679 0.508396 0.861123i \(-0.330239\pi\)
0.508396 + 0.861123i \(0.330239\pi\)
\(114\) 4.90188 8.49030i 0.459103 0.795189i
\(115\) 0.684541 + 0.395220i 0.0638338 + 0.0368544i
\(116\) 5.53047 0.513491
\(117\) 1.98445 3.53358i 0.183463 0.326680i
\(118\) −5.09007 + 8.81625i −0.468578 + 0.811602i
\(119\) −10.1678 5.87036i −0.932078 0.538135i
\(120\) 7.33103 + 12.6977i 0.669228 + 1.15914i
\(121\) −2.72780 4.72468i −0.247981 0.429517i
\(122\) 1.94395i 0.175997i
\(123\) −1.48514 0.857447i −0.133911 0.0773134i
\(124\) −3.03372 + 5.70810i −0.272436 + 0.512602i
\(125\) 13.5667i 1.21344i
\(126\) 0.784849 1.35940i 0.0699199 0.121105i
\(127\) 1.85696 0.164779 0.0823893 0.996600i \(-0.473745\pi\)
0.0823893 + 0.996600i \(0.473745\pi\)
\(128\) −4.99475 + 2.88372i −0.441477 + 0.254887i
\(129\) −1.46331 2.53452i −0.128837 0.223152i
\(130\) −6.23049 10.5011i −0.546450 0.921005i
\(131\) −9.60610 + 16.6383i −0.839289 + 1.45369i 0.0512007 + 0.998688i \(0.483695\pi\)
−0.890490 + 0.455003i \(0.849638\pi\)
\(132\) −3.24270 + 1.87217i −0.282241 + 0.162952i
\(133\) 5.95707 10.3180i 0.516544 0.894680i
\(134\) 2.09806 0.181245
\(135\) 18.0859 10.4419i 1.55659 0.898697i
\(136\) −19.3092 + 11.1482i −1.65575 + 0.955950i
\(137\) 5.19032i 0.443439i −0.975110 0.221720i \(-0.928833\pi\)
0.975110 0.221720i \(-0.0711670\pi\)
\(138\) 0.232284 + 0.134109i 0.0197733 + 0.0114161i
\(139\) −9.08032 + 15.7276i −0.770182 + 1.33400i 0.167280 + 0.985909i \(0.446502\pi\)
−0.937463 + 0.348086i \(0.886832\pi\)
\(140\) 3.27223 + 5.66767i 0.276554 + 0.479006i
\(141\) 1.89090i 0.159243i
\(142\) −4.38788 7.60002i −0.368222 0.637780i
\(143\) 7.30140 4.33207i 0.610574 0.362266i
\(144\) −0.185496 0.321289i −0.0154580 0.0267741i
\(145\) −15.2523 8.80589i −1.26663 0.731289i
\(146\) 2.45485 4.25193i 0.203165 0.351892i
\(147\) 3.20193 5.54591i 0.264091 0.457419i
\(148\) 2.49982 + 1.44327i 0.205484 + 0.118636i
\(149\) −13.9721 + 8.06679i −1.14464 + 0.660857i −0.947575 0.319534i \(-0.896474\pi\)
−0.197063 + 0.980391i \(0.563140\pi\)
\(150\) 10.8764i 0.888054i
\(151\) 6.57259i 0.534870i 0.963576 + 0.267435i \(0.0861760\pi\)
−0.963576 + 0.267435i \(0.913824\pi\)
\(152\) −11.3129 19.5945i −0.917594 1.58932i
\(153\) 4.32784 + 7.49603i 0.349885 + 0.606018i
\(154\) 2.84776 1.64416i 0.229479 0.132490i
\(155\) 17.4553 10.9117i 1.40204 0.876448i
\(156\) 2.92561 + 4.93092i 0.234236 + 0.394789i
\(157\) 6.58773 0.525758 0.262879 0.964829i \(-0.415328\pi\)
0.262879 + 0.964829i \(0.415328\pi\)
\(158\) 2.84830i 0.226598i
\(159\) 9.24831 + 16.0185i 0.733439 + 1.27035i
\(160\) 20.2919 1.60422
\(161\) 0.282286 + 0.162978i 0.0222473 + 0.0128445i
\(162\) 3.46219 1.99890i 0.272015 0.157048i
\(163\) 1.71324 + 0.989138i 0.134191 + 0.0774753i 0.565593 0.824685i \(-0.308647\pi\)
−0.431402 + 0.902160i \(0.641981\pi\)
\(164\) −1.25889 + 0.726819i −0.0983025 + 0.0567550i
\(165\) 11.9239 0.928273
\(166\) −4.00730 + 6.94085i −0.311027 + 0.538715i
\(167\) 5.05560i 0.391214i −0.980682 0.195607i \(-0.937332\pi\)
0.980682 0.195607i \(-0.0626676\pi\)
\(168\) 3.02312 + 5.23620i 0.233239 + 0.403981i
\(169\) −6.76595 11.1005i −0.520458 0.853887i
\(170\) 26.0786 2.00014
\(171\) −7.60675 + 4.39176i −0.581703 + 0.335846i
\(172\) −2.48076 −0.189156
\(173\) −8.21915 −0.624890 −0.312445 0.949936i \(-0.601148\pi\)
−0.312445 + 0.949936i \(0.601148\pi\)
\(174\) −5.17552 2.98809i −0.392355 0.226526i
\(175\) 13.2177i 0.999163i
\(176\) 0.777181i 0.0585822i
\(177\) −13.1831 + 7.61129i −0.990906 + 0.572100i
\(178\) −1.85931 + 3.22041i −0.139361 + 0.241380i
\(179\) 8.53047 0.637597 0.318799 0.947822i \(-0.396721\pi\)
0.318799 + 0.947822i \(0.396721\pi\)
\(180\) 4.82481i 0.359620i
\(181\) 5.10046 + 8.83425i 0.379114 + 0.656645i 0.990934 0.134353i \(-0.0428955\pi\)
−0.611820 + 0.790997i \(0.709562\pi\)
\(182\) −2.56929 4.33036i −0.190448 0.320988i
\(183\) 1.45342 2.51739i 0.107440 0.186091i
\(184\) 0.536080 0.309506i 0.0395203 0.0228171i
\(185\) −4.59611 7.96069i −0.337913 0.585282i
\(186\) 5.92307 3.70264i 0.434301 0.271491i
\(187\) 18.1325i 1.32598i
\(188\) 1.38809 + 0.801415i 0.101237 + 0.0584492i
\(189\) 7.45815 4.30596i 0.542500 0.313213i
\(190\) 26.4638i 1.91989i
\(191\) −23.4943 −1.69999 −0.849995 0.526791i \(-0.823395\pi\)
−0.849995 + 0.526791i \(0.823395\pi\)
\(192\) 7.78976 0.562178
\(193\) 4.39358i 0.316257i 0.987419 + 0.158128i \(0.0505460\pi\)
−0.987419 + 0.158128i \(0.949454\pi\)
\(194\) 1.89193 0.135833
\(195\) −0.217163 18.2571i −0.0155513 1.30742i
\(196\) −2.71413 4.70102i −0.193867 0.335787i
\(197\) 9.93806 + 5.73774i 0.708057 + 0.408797i 0.810341 0.585958i \(-0.199282\pi\)
−0.102284 + 0.994755i \(0.532615\pi\)
\(198\) −2.42426 −0.172284
\(199\) −2.57388 −0.182458 −0.0912288 0.995830i \(-0.529079\pi\)
−0.0912288 + 0.995830i \(0.529079\pi\)
\(200\) −21.7383 12.5506i −1.53713 0.887463i
\(201\) 2.71696 + 1.56864i 0.191640 + 0.110643i
\(202\) −12.9002 7.44793i −0.907655 0.524035i
\(203\) −6.28962 3.63131i −0.441445 0.254868i
\(204\) −12.2456 −0.857360
\(205\) 4.62911 0.323311
\(206\) −1.94764 1.12447i −0.135699 0.0783456i
\(207\) −0.120153 0.208111i −0.00835122 0.0144647i
\(208\) −1.18997 + 0.0141543i −0.0825095 + 0.000981427i
\(209\) −18.4003 −1.27278
\(210\) 7.07189i 0.488007i
\(211\) 17.1117 1.17802 0.589009 0.808126i \(-0.299518\pi\)
0.589009 + 0.808126i \(0.299518\pi\)
\(212\) 15.6787 1.07682
\(213\) 13.1226i 0.899145i
\(214\) 10.6755 6.16349i 0.729760 0.421327i
\(215\) 6.84157 + 3.94998i 0.466591 + 0.269387i
\(216\) 16.3546i 1.11279i
\(217\) 7.19809 4.49968i 0.488638 0.305459i
\(218\) 5.06293 + 8.76925i 0.342905 + 0.593928i
\(219\) 6.35801 3.67080i 0.429634 0.248049i
\(220\) 5.05366 8.75320i 0.340718 0.590141i
\(221\) 27.7633 0.330236i 1.86756 0.0222141i
\(222\) −1.55959 2.70129i −0.104673 0.181299i
\(223\) 9.56885i 0.640778i −0.947286 0.320389i \(-0.896186\pi\)
0.947286 0.320389i \(-0.103814\pi\)
\(224\) 8.36784 0.559100
\(225\) −4.87227 + 8.43902i −0.324818 + 0.562601i
\(226\) −8.57397 + 4.95018i −0.570332 + 0.329281i
\(227\) 10.5468i 0.700016i −0.936747 0.350008i \(-0.886179\pi\)
0.936747 0.350008i \(-0.113821\pi\)
\(228\) 12.4264i 0.822960i
\(229\) 10.7106 + 6.18379i 0.707778 + 0.408636i 0.810238 0.586101i \(-0.199338\pi\)
−0.102459 + 0.994737i \(0.532671\pi\)
\(230\) −0.724017 −0.0477403
\(231\) 4.91709 0.323521
\(232\) −11.9444 + 6.89609i −0.784187 + 0.452751i
\(233\) 30.3755 1.98996 0.994981 0.100064i \(-0.0319049\pi\)
0.994981 + 0.100064i \(0.0319049\pi\)
\(234\) 0.0441516 + 3.71186i 0.00288628 + 0.242652i
\(235\) −2.55211 4.42038i −0.166481 0.288354i
\(236\) 12.9035i 0.839946i
\(237\) 2.12956 3.68851i 0.138330 0.239594i
\(238\) 10.7541 0.697086
\(239\) 17.9140 10.3426i 1.15876 0.669009i 0.207752 0.978181i \(-0.433385\pi\)
0.951006 + 0.309172i \(0.100052\pi\)
\(240\) −1.44749 0.835708i −0.0934350 0.0539447i
\(241\) −16.5132 + 9.53387i −1.06371 + 0.614131i −0.926455 0.376406i \(-0.877160\pi\)
−0.137251 + 0.990536i \(0.543827\pi\)
\(242\) 4.32765 + 2.49857i 0.278192 + 0.160614i
\(243\) −10.9676 −0.703571
\(244\) −1.23199 2.13388i −0.0788704 0.136607i
\(245\) 17.2863i 1.10438i
\(246\) 1.57079 0.100150
\(247\) 0.335114 + 28.1733i 0.0213228 + 1.79263i
\(248\) −0.565533 16.1108i −0.0359114 1.02304i
\(249\) −10.3788 + 5.99221i −0.657731 + 0.379741i
\(250\) 6.21330 + 10.7618i 0.392964 + 0.680633i
\(251\) 13.8964 + 24.0693i 0.877134 + 1.51924i 0.854472 + 0.519497i \(0.173881\pi\)
0.0226614 + 0.999743i \(0.492786\pi\)
\(252\) 1.98962i 0.125334i
\(253\) 0.503409i 0.0316491i
\(254\) −1.47304 + 0.850457i −0.0924265 + 0.0533624i
\(255\) 33.7715 + 19.4980i 2.11485 + 1.22101i
\(256\) 8.32873 14.4258i 0.520546 0.901612i
\(257\) 11.8011 20.4402i 0.736135 1.27502i −0.218089 0.975929i \(-0.569982\pi\)
0.954224 0.299094i \(-0.0966843\pi\)
\(258\) 2.32154 + 1.34034i 0.144533 + 0.0834460i
\(259\) −1.89531 3.28278i −0.117769 0.203982i
\(260\) −13.4944 7.57842i −0.836885 0.469994i
\(261\) 2.67713 + 4.63692i 0.165710 + 0.287018i
\(262\) 17.5978i 1.08719i
\(263\) −6.56512 11.3711i −0.404823 0.701173i 0.589478 0.807784i \(-0.299333\pi\)
−0.994301 + 0.106611i \(0.966000\pi\)
\(264\) 4.66893 8.08683i 0.287353 0.497710i
\(265\) −43.2397 24.9645i −2.65620 1.53356i
\(266\) 10.9130i 0.669117i
\(267\) −4.81556 + 2.78026i −0.294707 + 0.170149i
\(268\) 2.30305 1.32966i 0.140681 0.0812222i
\(269\) 12.8868 0.785724 0.392862 0.919597i \(-0.371485\pi\)
0.392862 + 0.919597i \(0.371485\pi\)
\(270\) −9.56445 + 16.5661i −0.582074 + 1.00818i
\(271\) 25.7288 14.8545i 1.56291 0.902349i 0.565955 0.824436i \(-0.308508\pi\)
0.996960 0.0779129i \(-0.0248256\pi\)
\(272\) 1.27085 2.20118i 0.0770566 0.133466i
\(273\) −0.0895520 7.52872i −0.00541993 0.455659i
\(274\) 2.37708 + 4.11723i 0.143605 + 0.248731i
\(275\) −17.6786 + 10.2068i −1.06606 + 0.615491i
\(276\) 0.339971 0.0204639
\(277\) 0.932431 1.61502i 0.0560244 0.0970370i −0.836653 0.547733i \(-0.815491\pi\)
0.892677 + 0.450696i \(0.148824\pi\)
\(278\) 16.6345i 0.997674i
\(279\) −6.25438 + 0.219545i −0.374440 + 0.0131438i
\(280\) −14.1344 8.16047i −0.844689 0.487682i
\(281\) 10.7560i 0.641648i 0.947139 + 0.320824i \(0.103960\pi\)
−0.947139 + 0.320824i \(0.896040\pi\)
\(282\) −0.866002 1.49996i −0.0515697 0.0893213i
\(283\) −2.57897 4.46690i −0.153304 0.265530i 0.779136 0.626854i \(-0.215658\pi\)
−0.932440 + 0.361325i \(0.882325\pi\)
\(284\) −9.63316 5.56171i −0.571623 0.330027i
\(285\) −19.7860 + 34.2703i −1.17202 + 2.03000i
\(286\) −3.80783 + 6.78034i −0.225162 + 0.400930i
\(287\) 1.90892 0.112680
\(288\) −5.34256 3.08453i −0.314814 0.181758i
\(289\) −21.1503 + 36.6334i −1.24414 + 2.15491i
\(290\) 16.1318 0.947293
\(291\) 2.45003 + 1.41452i 0.143623 + 0.0829208i
\(292\) 6.22313i 0.364181i
\(293\) −13.4583 + 7.77016i −0.786243 + 0.453938i −0.838638 0.544689i \(-0.816648\pi\)
0.0523950 + 0.998626i \(0.483315\pi\)
\(294\) 5.86573i 0.342097i
\(295\) 20.5456 35.5860i 1.19621 2.07190i
\(296\) −7.19864 −0.418412
\(297\) −11.5184 6.65017i −0.668367 0.385882i
\(298\) 7.38891 12.7980i 0.428028 0.741367i
\(299\) −0.770788 + 0.00916830i −0.0445758 + 0.000530216i
\(300\) −6.89301 11.9390i −0.397968 0.689301i
\(301\) 2.82128 + 1.62887i 0.162616 + 0.0938863i
\(302\) −3.01014 5.21371i −0.173214 0.300015i
\(303\) −11.1371 19.2900i −0.639808 1.10818i
\(304\) 2.23369 + 1.28962i 0.128111 + 0.0739648i
\(305\) 7.84657i 0.449294i
\(306\) −6.86612 3.96416i −0.392510 0.226616i
\(307\) −6.13329 3.54106i −0.350046 0.202099i 0.314660 0.949205i \(-0.398110\pi\)
−0.664705 + 0.747106i \(0.731443\pi\)
\(308\) 2.08399 3.60959i 0.118747 0.205675i
\(309\) −1.68145 2.91235i −0.0956542 0.165678i
\(310\) −8.84905 + 16.6499i −0.502592 + 0.945653i
\(311\) 17.0673 0.967795 0.483898 0.875125i \(-0.339221\pi\)
0.483898 + 0.875125i \(0.339221\pi\)
\(312\) −12.4671 7.00148i −0.705808 0.396381i
\(313\) −8.60117 + 14.8977i −0.486167 + 0.842066i −0.999874 0.0159000i \(-0.994939\pi\)
0.513707 + 0.857966i \(0.328272\pi\)
\(314\) −5.22572 + 3.01707i −0.294905 + 0.170263i
\(315\) −3.16797 + 5.48709i −0.178495 + 0.309163i
\(316\) −1.80513 3.12658i −0.101547 0.175884i
\(317\) 7.94892 + 4.58931i 0.446456 + 0.257761i 0.706332 0.707881i \(-0.250349\pi\)
−0.259877 + 0.965642i \(0.583682\pi\)
\(318\) −14.6725 8.47115i −0.822791 0.475038i
\(319\) 11.2165i 0.628001i
\(320\) −18.2102 + 10.5137i −1.01798 + 0.587732i
\(321\) 18.4328 1.02882
\(322\) −0.298565 −0.0166384
\(323\) −52.1144 30.0883i −2.89972 1.67416i
\(324\) 2.53364 4.38838i 0.140758 0.243799i
\(325\) 15.9499 + 26.8825i 0.884741 + 1.49117i
\(326\) −1.81204 −0.100359
\(327\) 15.1414i 0.837323i
\(328\) 1.81258 3.13948i 0.100083 0.173349i
\(329\) −1.05242 1.82285i −0.0580218 0.100497i
\(330\) −9.45863 + 5.46094i −0.520680 + 0.300615i
\(331\) 30.2637i 1.66344i 0.555193 + 0.831722i \(0.312644\pi\)
−0.555193 + 0.831722i \(0.687356\pi\)
\(332\) 10.1587i 0.557529i
\(333\) 2.79458i 0.153142i
\(334\) 2.31538 + 4.01036i 0.126692 + 0.219437i
\(335\) −8.46863 −0.462691
\(336\) −0.596905 0.344623i −0.0325639 0.0188008i
\(337\) −16.5282 −0.900349 −0.450175 0.892941i \(-0.648638\pi\)
−0.450175 + 0.892941i \(0.648638\pi\)
\(338\) 10.4510 + 5.70681i 0.568457 + 0.310410i
\(339\) −14.8043 −0.804057
\(340\) 28.6266 16.5276i 1.55249 0.896332i
\(341\) −11.5767 6.15275i −0.626914 0.333190i
\(342\) 4.02271 6.96753i 0.217523 0.376761i
\(343\) 17.8008i 0.961155i
\(344\) 5.35779 3.09332i 0.288873 0.166781i
\(345\) −0.937593 0.541320i −0.0504783 0.0291437i
\(346\) 6.51985 3.76424i 0.350509 0.202367i
\(347\) −2.70857 4.69137i −0.145403 0.251846i 0.784120 0.620609i \(-0.213115\pi\)
−0.929523 + 0.368763i \(0.879781\pi\)
\(348\) −7.57490 −0.406057
\(349\) 14.3196 8.26743i 0.766511 0.442545i −0.0651177 0.997878i \(-0.520742\pi\)
0.831629 + 0.555332i \(0.187409\pi\)
\(350\) 6.05348 + 10.4849i 0.323572 + 0.560444i
\(351\) −9.97252 + 17.7574i −0.532294 + 0.947819i
\(352\) −6.46168 11.1920i −0.344409 0.596533i
\(353\) 14.1869i 0.755093i 0.925991 + 0.377546i \(0.123232\pi\)
−0.925991 + 0.377546i \(0.876768\pi\)
\(354\) 6.97169 12.0753i 0.370541 0.641796i
\(355\) 17.7113 + 30.6768i 0.940016 + 1.62816i
\(356\) 4.71340i 0.249810i
\(357\) 13.9265 + 8.04044i 0.737066 + 0.425545i
\(358\) −6.76680 + 3.90682i −0.357637 + 0.206482i
\(359\) 2.53178 1.46172i 0.133622 0.0771469i −0.431699 0.902018i \(-0.642086\pi\)
0.565321 + 0.824871i \(0.308752\pi\)
\(360\) 6.01618 + 10.4203i 0.317081 + 0.549200i
\(361\) 21.0327 36.4297i 1.10698 1.91735i
\(362\) −8.09188 4.67185i −0.425300 0.245547i
\(363\) 3.73617 + 6.47124i 0.196098 + 0.339652i
\(364\) −5.56472 3.12514i −0.291670 0.163802i
\(365\) −9.90878 + 17.1625i −0.518649 + 0.898327i
\(366\) 2.66256i 0.139174i
\(367\) 2.71922 4.70983i 0.141942 0.245851i −0.786286 0.617863i \(-0.787999\pi\)
0.928228 + 0.372012i \(0.121332\pi\)
\(368\) −0.0352824 + 0.0611109i −0.00183922 + 0.00318563i
\(369\) −1.21878 0.703661i −0.0634470 0.0366311i
\(370\) 7.29173 + 4.20988i 0.379079 + 0.218861i
\(371\) −17.8309 10.2947i −0.925735 0.534473i
\(372\) 4.15519 7.81819i 0.215436 0.405354i
\(373\) −7.69556 + 13.3291i −0.398461 + 0.690155i −0.993536 0.113515i \(-0.963789\pi\)
0.595075 + 0.803670i \(0.297122\pi\)
\(374\) −8.30438 14.3836i −0.429409 0.743759i
\(375\) 18.5818i 0.959560i
\(376\) −3.99723 −0.206141
\(377\) 17.1739 0.204279i 0.884501 0.0105209i
\(378\) −3.94412 + 6.83142i −0.202864 + 0.351370i
\(379\) 3.12574i 0.160558i 0.996772 + 0.0802792i \(0.0255812\pi\)
−0.996772 + 0.0802792i \(0.974419\pi\)
\(380\) 16.7717 + 29.0494i 0.860369 + 1.49020i
\(381\) −2.54342 −0.130303
\(382\) 18.6369 10.7600i 0.953546 0.550530i
\(383\) 12.8222i 0.655183i −0.944819 0.327591i \(-0.893763\pi\)
0.944819 0.327591i \(-0.106237\pi\)
\(384\) 6.84114 3.94973i 0.349110 0.201559i
\(385\) −11.4947 + 6.63648i −0.585825 + 0.338226i
\(386\) −2.01219 3.48521i −0.102418 0.177392i
\(387\) −1.20086 2.07995i −0.0610430 0.105730i
\(388\) 2.07678 1.19903i 0.105432 0.0608714i
\(389\) −18.3603 + 31.8009i −0.930903 + 1.61237i −0.149122 + 0.988819i \(0.547645\pi\)
−0.781781 + 0.623552i \(0.785689\pi\)
\(390\) 8.53370 + 14.3830i 0.432121 + 0.728310i
\(391\) 0.823177 1.42579i 0.0416299 0.0721051i
\(392\) 11.7237 + 6.76866i 0.592134 + 0.341869i
\(393\) 13.1572 22.7889i 0.663691 1.14955i
\(394\) −10.5112 −0.529545
\(395\) 11.4969i 0.578471i
\(396\) −2.66111 + 1.53639i −0.133726 + 0.0772067i
\(397\) 16.5746 9.56936i 0.831856 0.480273i −0.0226315 0.999744i \(-0.507204\pi\)
0.854488 + 0.519471i \(0.173871\pi\)
\(398\) 2.04173 1.17880i 0.102343 0.0590877i
\(399\) −8.15920 + 14.1322i −0.408471 + 0.707493i
\(400\) 2.86144 0.143072
\(401\) 14.0011 8.08353i 0.699181 0.403672i −0.107861 0.994166i \(-0.534400\pi\)
0.807042 + 0.590494i \(0.201067\pi\)
\(402\) −2.87365 −0.143324
\(403\) −9.20985 + 17.8376i −0.458775 + 0.888552i
\(404\) −18.8808 −0.939353
\(405\) −13.9748 + 8.06836i −0.694414 + 0.400920i
\(406\) 6.65233 0.330149
\(407\) −2.92714 + 5.06995i −0.145093 + 0.251308i
\(408\) 26.4472 15.2693i 1.30933 0.755944i
\(409\) 12.8188 7.40094i 0.633849 0.365953i −0.148392 0.988929i \(-0.547410\pi\)
0.782241 + 0.622975i \(0.214076\pi\)
\(410\) −3.67204 + 2.12006i −0.181349 + 0.104702i
\(411\) 7.10902i 0.350662i
\(412\) −2.85057 −0.140438
\(413\) 8.47244 14.6747i 0.416902 0.722095i
\(414\) 0.190623 + 0.110056i 0.00936861 + 0.00540897i
\(415\) 16.1751 28.0161i 0.794005 1.37526i
\(416\) −17.0187 + 10.0975i −0.834411 + 0.495072i
\(417\) 12.4370 21.5415i 0.609043 1.05489i
\(418\) 14.5961 8.42704i 0.713917 0.412180i
\(419\) −8.80360 15.2483i −0.430084 0.744928i 0.566796 0.823858i \(-0.308183\pi\)
−0.996880 + 0.0789306i \(0.974849\pi\)
\(420\) −4.48187 7.76282i −0.218693 0.378787i
\(421\) 14.0617 8.11854i 0.685327 0.395673i −0.116532 0.993187i \(-0.537178\pi\)
0.801859 + 0.597513i \(0.203845\pi\)
\(422\) −13.5739 + 7.83688i −0.660766 + 0.381493i
\(423\) 1.55176i 0.0754492i
\(424\) −33.8620 + 19.5503i −1.64449 + 0.949444i
\(425\) −66.7605 −3.23836
\(426\) 6.00993 + 10.4095i 0.291182 + 0.504342i
\(427\) 3.23572i 0.156587i
\(428\) 7.81233 13.5313i 0.377623 0.654062i
\(429\) −10.0005 + 5.93349i −0.482828 + 0.286471i
\(430\) −7.23611 −0.348956
\(431\) 12.6763i 0.610598i 0.952257 + 0.305299i \(0.0987564\pi\)
−0.952257 + 0.305299i \(0.901244\pi\)
\(432\) 0.932179 + 1.61458i 0.0448495 + 0.0776816i
\(433\) 0.278480 0.482342i 0.0133829 0.0231799i −0.859256 0.511545i \(-0.829073\pi\)
0.872639 + 0.488365i \(0.162407\pi\)
\(434\) −3.64911 + 6.86599i −0.175163 + 0.329578i
\(435\) 20.8905 + 12.0611i 1.00162 + 0.578287i
\(436\) 11.1152 + 6.41735i 0.532320 + 0.307335i
\(437\) 1.44684 + 0.835336i 0.0692120 + 0.0399595i
\(438\) −3.36233 + 5.82372i −0.160658 + 0.278268i
\(439\) 18.3058 31.7065i 0.873686 1.51327i 0.0155298 0.999879i \(-0.495056\pi\)
0.858156 0.513389i \(-0.171610\pi\)
\(440\) 25.2062i 1.20166i
\(441\) 2.62766 4.55124i 0.125127 0.216725i
\(442\) −21.8720 + 12.9771i −1.04034 + 0.617257i
\(443\) 9.82878 + 17.0240i 0.466980 + 0.808832i 0.999288 0.0377178i \(-0.0120088\pi\)
−0.532309 + 0.846550i \(0.678675\pi\)
\(444\) −3.42393 1.97681i −0.162492 0.0938150i
\(445\) 7.50492 12.9989i 0.355767 0.616207i
\(446\) 4.38238 + 7.59050i 0.207512 + 0.359420i
\(447\) 19.1371 11.0488i 0.905154 0.522591i
\(448\) −7.50940 + 4.33555i −0.354786 + 0.204836i
\(449\) 28.0123 + 16.1729i 1.32198 + 0.763247i 0.984045 0.177921i \(-0.0569371\pi\)
0.337938 + 0.941168i \(0.390270\pi\)
\(450\) 8.92568i 0.420760i
\(451\) −1.47408 2.55317i −0.0694115 0.120224i
\(452\) −6.27444 + 10.8677i −0.295125 + 0.511172i
\(453\) 9.00226i 0.422963i
\(454\) 4.83027 + 8.36626i 0.226696 + 0.392648i
\(455\) 10.3707 + 17.4791i 0.486186 + 0.819433i
\(456\) 15.4949 + 26.8379i 0.725613 + 1.25680i
\(457\) 35.5757 20.5397i 1.66416 0.960805i 0.693469 0.720487i \(-0.256082\pi\)
0.970694 0.240318i \(-0.0772518\pi\)
\(458\) −11.3283 −0.529336
\(459\) −21.7488 37.6700i −1.01515 1.75828i
\(460\) −0.794755 + 0.458852i −0.0370556 + 0.0213941i
\(461\) −24.4250 14.1018i −1.13758 0.656784i −0.191753 0.981443i \(-0.561417\pi\)
−0.945831 + 0.324659i \(0.894751\pi\)
\(462\) −3.90048 + 2.25195i −0.181467 + 0.104770i
\(463\) 29.4435i 1.36835i −0.729316 0.684177i \(-0.760162\pi\)
0.729316 0.684177i \(-0.239838\pi\)
\(464\) 0.786127 1.36161i 0.0364950 0.0632113i
\(465\) −23.9079 + 14.9454i −1.10870 + 0.693075i
\(466\) −24.0954 + 13.9115i −1.11620 + 0.644436i
\(467\) −2.37169 −0.109749 −0.0548743 0.998493i \(-0.517476\pi\)
−0.0548743 + 0.998493i \(0.517476\pi\)
\(468\) 2.40089 + 4.04654i 0.110981 + 0.187051i
\(469\) −3.49224 −0.161256
\(470\) 4.04892 + 2.33765i 0.186763 + 0.107828i
\(471\) −9.02300 −0.415758
\(472\) −16.0897 27.8682i −0.740589 1.28274i
\(473\) 5.03127i 0.231338i
\(474\) 3.90122i 0.179189i
\(475\) 67.7466i 3.10843i
\(476\) 11.8048 6.81552i 0.541073 0.312389i
\(477\) 7.58959 + 13.1456i 0.347504 + 0.601894i
\(478\) −9.47351 + 16.4086i −0.433308 + 0.750512i
\(479\) 19.2775i 0.880811i −0.897799 0.440405i \(-0.854835\pi\)
0.897799 0.440405i \(-0.145165\pi\)
\(480\) −27.7932 −1.26858
\(481\) 7.81608 + 4.38950i 0.356383 + 0.200144i
\(482\) 8.73271 15.1255i 0.397764 0.688948i
\(483\) −0.386638 0.223226i −0.0175926 0.0101571i
\(484\) 6.33397 0.287908
\(485\) −7.63660 −0.346760
\(486\) 8.70004 5.02297i 0.394642 0.227847i
\(487\) 2.38644i 0.108140i 0.998537 + 0.0540701i \(0.0172194\pi\)
−0.998537 + 0.0540701i \(0.982781\pi\)
\(488\) 5.32158 + 3.07242i 0.240897 + 0.139082i
\(489\) −2.34656 1.35479i −0.106115 0.0612657i
\(490\) −7.91685 13.7124i −0.357647 0.619463i
\(491\) −7.63245 + 13.2198i −0.344448 + 0.596601i −0.985253 0.171102i \(-0.945267\pi\)
0.640805 + 0.767703i \(0.278601\pi\)
\(492\) 1.72426 0.995499i 0.0777354 0.0448806i
\(493\) −18.3412 + 31.7679i −0.826047 + 1.43075i
\(494\) −13.1688 22.1951i −0.592491 0.998603i
\(495\) 9.78529 0.439816
\(496\) 0.974117 + 1.55828i 0.0437392 + 0.0699690i
\(497\) 7.30365 + 12.6503i 0.327613 + 0.567443i
\(498\) 5.48867 9.50666i 0.245953 0.426004i
\(499\) 21.8898 + 12.6381i 0.979921 + 0.565758i 0.902246 0.431221i \(-0.141917\pi\)
0.0776747 + 0.996979i \(0.475250\pi\)
\(500\) 13.6407 + 7.87547i 0.610031 + 0.352202i
\(501\) 6.92448i 0.309363i
\(502\) −22.0467 12.7287i −0.983991 0.568108i
\(503\) 0.318128 + 0.551014i 0.0141846 + 0.0245685i 0.873031 0.487665i \(-0.162151\pi\)
−0.858846 + 0.512234i \(0.828818\pi\)
\(504\) 2.48091 + 4.29707i 0.110509 + 0.191407i
\(505\) 52.0705 + 30.0629i 2.31711 + 1.33778i
\(506\) 0.230553 + 0.399330i 0.0102493 + 0.0177524i
\(507\) 9.26710 + 15.2040i 0.411566 + 0.675235i
\(508\) −1.07797 + 1.86710i −0.0478272 + 0.0828391i
\(509\) −9.82401 5.67189i −0.435442 0.251402i 0.266221 0.963912i \(-0.414225\pi\)
−0.701662 + 0.712510i \(0.747558\pi\)
\(510\) −35.7190 −1.58167
\(511\) −4.08612 + 7.07736i −0.180759 + 0.313084i
\(512\) 3.72282i 0.164527i
\(513\) 38.2264 22.0700i 1.68774 0.974415i
\(514\) 21.6189i 0.953569i
\(515\) 7.86148 + 4.53883i 0.346418 + 0.200005i
\(516\) 3.39781 0.149580
\(517\) −1.62537 + 2.81522i −0.0714836 + 0.123813i
\(518\) 3.00691 + 1.73604i 0.132116 + 0.0762773i
\(519\) 11.2575 0.494149
\(520\) 38.5941 0.459066i 1.69246 0.0201314i
\(521\) −2.75310 + 4.76850i −0.120615 + 0.208912i −0.920011 0.391894i \(-0.871820\pi\)
0.799395 + 0.600806i \(0.205153\pi\)
\(522\) −4.24727 2.45216i −0.185898 0.107328i
\(523\) 12.4746 + 21.6067i 0.545478 + 0.944795i 0.998577 + 0.0533347i \(0.0169850\pi\)
−0.453099 + 0.891460i \(0.649682\pi\)
\(524\) −11.1527 19.3171i −0.487209 0.843871i
\(525\) 18.1038i 0.790116i
\(526\) 10.4156 + 6.01343i 0.454141 + 0.262198i
\(527\) −22.7272 36.3565i −0.990014 1.58371i
\(528\) 1.06448i 0.0463255i
\(529\) 11.4771 19.8790i 0.499006 0.864304i
\(530\) 45.7333 1.98653
\(531\) −10.8187 + 6.24618i −0.469492 + 0.271061i
\(532\) 6.91618 + 11.9792i 0.299855 + 0.519363i
\(533\) −3.88241 + 2.30351i −0.168166 + 0.0997760i
\(534\) 2.54663 4.41089i 0.110203 0.190878i
\(535\) −43.0906 + 24.8784i −1.86297 + 1.07559i
\(536\) −3.31599 + 5.74346i −0.143229 + 0.248080i
\(537\) −11.6839 −0.504198
\(538\) −10.2225 + 5.90196i −0.440723 + 0.254451i
\(539\) 9.53423 5.50459i 0.410668 0.237100i
\(540\) 24.2462i 1.04339i
\(541\) −29.1219 16.8135i −1.25205 0.722869i −0.280531 0.959845i \(-0.590511\pi\)
−0.971516 + 0.236976i \(0.923844\pi\)
\(542\) −13.6063 + 23.5668i −0.584440 + 1.01228i
\(543\) −6.98593 12.1000i −0.299795 0.519260i
\(544\) 42.2647i 1.81208i
\(545\) −20.4360 35.3963i −0.875384 1.51621i
\(546\) 3.51907 + 5.93115i 0.150602 + 0.253830i
\(547\) −10.2288 17.7168i −0.437353 0.757518i 0.560131 0.828404i \(-0.310751\pi\)
−0.997484 + 0.0708861i \(0.977417\pi\)
\(548\) 5.21866 + 3.01299i 0.222930 + 0.128709i
\(549\) 1.19274 2.06589i 0.0509049 0.0881699i
\(550\) 9.34905 16.1930i 0.398645 0.690473i
\(551\) −32.2371 18.6121i −1.37335 0.792903i
\(552\) −0.734251 + 0.423920i −0.0312518 + 0.0180432i
\(553\) 4.74101i 0.201608i
\(554\) 1.70815i 0.0725724i
\(555\) 6.29514 + 10.9035i 0.267214 + 0.462828i
\(556\) −10.5423 18.2598i −0.447093 0.774387i
\(557\) −25.6597 + 14.8146i −1.08723 + 0.627715i −0.932839 0.360294i \(-0.882676\pi\)
−0.154396 + 0.988009i \(0.549343\pi\)
\(558\) 4.86075 3.03856i 0.205772 0.128632i
\(559\) −7.70356 + 0.0916316i −0.325826 + 0.00387560i
\(560\) 1.86052 0.0786214
\(561\) 24.8355i 1.04855i
\(562\) −4.92607 8.53220i −0.207794 0.359909i
\(563\) 8.05766 0.339590 0.169795 0.985479i \(-0.445689\pi\)
0.169795 + 0.985479i \(0.445689\pi\)
\(564\) −1.90122 1.09767i −0.0800560 0.0462203i
\(565\) 34.6081 19.9810i 1.45597 0.840606i
\(566\) 4.09154 + 2.36225i 0.171980 + 0.0992927i
\(567\) −5.76284 + 3.32718i −0.242016 + 0.139728i
\(568\) 27.7402 1.16395
\(569\) 7.65102 13.2519i 0.320747 0.555551i −0.659895 0.751358i \(-0.729399\pi\)
0.980642 + 0.195807i \(0.0627327\pi\)
\(570\) 36.2466i 1.51820i
\(571\) 8.03737 + 13.9211i 0.336354 + 0.582582i 0.983744 0.179577i \(-0.0574729\pi\)
−0.647390 + 0.762159i \(0.724140\pi\)
\(572\) 0.117235 + 9.85604i 0.00490183 + 0.412102i
\(573\) 32.1794 1.34431
\(574\) −1.51425 + 0.874254i −0.0632037 + 0.0364906i
\(575\) 1.85346 0.0772947
\(576\) 6.39264 0.266360
\(577\) −24.3986 14.0865i −1.01573 0.586430i −0.102864 0.994695i \(-0.532801\pi\)
−0.912863 + 0.408265i \(0.866134\pi\)
\(578\) 38.7460i 1.61162i
\(579\) 6.01774i 0.250089i
\(580\) 17.7079 10.2237i 0.735282 0.424515i
\(581\) 6.67018 11.5531i 0.276726 0.479303i
\(582\) −2.59131 −0.107413
\(583\) 31.7984i 1.31695i
\(584\) 7.75980 + 13.4404i 0.321103 + 0.556166i
\(585\) −0.178214 14.9826i −0.00736823 0.619454i
\(586\) 7.11722 12.3274i 0.294009 0.509239i
\(587\) 19.9540 11.5204i 0.823589 0.475499i −0.0280635 0.999606i \(-0.508934\pi\)
0.851653 + 0.524107i \(0.175601\pi\)
\(588\) 3.71746 + 6.43883i 0.153305 + 0.265533i
\(589\) 36.8935 23.0629i 1.52017 0.950291i
\(590\) 37.6382i 1.54954i
\(591\) −13.6118 7.85879i −0.559916 0.323267i
\(592\) 0.710674 0.410308i 0.0292085 0.0168635i
\(593\) 13.3664i 0.548890i 0.961603 + 0.274445i \(0.0884942\pi\)
−0.961603 + 0.274445i \(0.911506\pi\)
\(594\) 12.1827 0.499861
\(595\) −43.4080 −1.77956
\(596\) 18.7311i 0.767258i
\(597\) 3.52536 0.144283
\(598\) 0.607229 0.360281i 0.0248314 0.0147330i
\(599\) −2.58548 4.47818i −0.105640 0.182974i 0.808360 0.588689i \(-0.200356\pi\)
−0.913999 + 0.405715i \(0.867022\pi\)
\(600\) 29.7742 + 17.1902i 1.21553 + 0.701786i
\(601\) −12.6555 −0.516229 −0.258115 0.966114i \(-0.583101\pi\)
−0.258115 + 0.966114i \(0.583101\pi\)
\(602\) −2.98398 −0.121618
\(603\) 2.22967 + 1.28730i 0.0907991 + 0.0524229i
\(604\) −6.60847 3.81540i −0.268895 0.155246i
\(605\) −17.4682 10.0853i −0.710182 0.410024i
\(606\) 17.6690 + 10.2012i 0.717753 + 0.414395i
\(607\) 33.6265 1.36486 0.682429 0.730952i \(-0.260923\pi\)
0.682429 + 0.730952i \(0.260923\pi\)
\(608\) 42.8889 1.73938
\(609\) 8.61468 + 4.97369i 0.349084 + 0.201544i
\(610\) −3.59360 6.22430i −0.145501 0.252015i
\(611\) 4.34008 + 2.43738i 0.175581 + 0.0986060i
\(612\) −10.0493 −0.406218
\(613\) 2.87675i 0.116191i 0.998311 + 0.0580955i \(0.0185028\pi\)
−0.998311 + 0.0580955i \(0.981497\pi\)
\(614\) 6.48699 0.261793
\(615\) −6.34034 −0.255667
\(616\) 10.3944i 0.418801i
\(617\) −2.86817 + 1.65594i −0.115468 + 0.0666656i −0.556622 0.830766i \(-0.687903\pi\)
0.441154 + 0.897432i \(0.354569\pi\)
\(618\) 2.66762 + 1.54015i 0.107307 + 0.0619540i
\(619\) 6.52923i 0.262432i −0.991354 0.131216i \(-0.958112\pi\)
0.991354 0.131216i \(-0.0418882\pi\)
\(620\) 0.838420 + 23.8848i 0.0336718 + 0.959238i
\(621\) 0.603808 + 1.04583i 0.0242300 + 0.0419675i
\(622\) −13.5386 + 7.81652i −0.542849 + 0.313414i
\(623\) 3.09483 5.36040i 0.123992 0.214760i
\(624\) 1.62986 0.0193867i 0.0652466 0.000776090i
\(625\) −3.40588 5.89916i −0.136235 0.235967i
\(626\) 15.7568i 0.629768i
\(627\) 25.2023 1.00648
\(628\) −3.82419 + 6.62370i −0.152602 + 0.264314i
\(629\) −16.5808 + 9.57293i −0.661120 + 0.381698i
\(630\) 5.80352i 0.231218i
\(631\) 29.4228i 1.17130i 0.810563 + 0.585651i \(0.199161\pi\)
−0.810563 + 0.585651i \(0.800839\pi\)
\(632\) 7.79724 + 4.50174i 0.310157 + 0.179069i
\(633\) −23.4373 −0.931550
\(634\) −8.40731 −0.333897
\(635\) 5.94577 3.43279i 0.235951 0.136226i
\(636\) −21.4747 −0.851525
\(637\) −8.60191 14.4979i −0.340820 0.574429i
\(638\) −5.13695 8.89747i −0.203374 0.352254i
\(639\) 10.7690i 0.426015i
\(640\) −10.6617 + 18.4667i −0.421442 + 0.729959i
\(641\) 25.8466 1.02088 0.510439 0.859914i \(-0.329483\pi\)
0.510439 + 0.859914i \(0.329483\pi\)
\(642\) −14.6218 + 8.44193i −0.577078 + 0.333176i
\(643\) 31.9349 + 18.4376i 1.25939 + 0.727108i 0.972956 0.230992i \(-0.0741971\pi\)
0.286433 + 0.958100i \(0.407530\pi\)
\(644\) −0.327735 + 0.189218i −0.0129146 + 0.00745624i
\(645\) −9.37068 5.41016i −0.368970 0.213025i
\(646\) 55.1197 2.16866
\(647\) 17.0168 + 29.4739i 0.668999 + 1.15874i 0.978184 + 0.207738i \(0.0666102\pi\)
−0.309186 + 0.951002i \(0.600056\pi\)
\(648\) 12.6370i 0.496430i
\(649\) −26.1698 −1.02726
\(650\) −24.9640 14.0197i −0.979168 0.549900i
\(651\) −9.85899 + 6.16307i −0.386404 + 0.241550i
\(652\) −1.98908 + 1.14839i −0.0778982 + 0.0449746i
\(653\) −9.90399 17.1542i −0.387573 0.671297i 0.604549 0.796568i \(-0.293353\pi\)
−0.992123 + 0.125271i \(0.960020\pi\)
\(654\) −6.93452 12.0109i −0.271161 0.469665i
\(655\) 71.0317i 2.77544i
\(656\) 0.413254i 0.0161348i
\(657\) 5.21768 3.01243i 0.203561 0.117526i
\(658\) 1.66967 + 0.963982i 0.0650904 + 0.0375799i
\(659\) 8.85996 15.3459i 0.345135 0.597791i −0.640243 0.768172i \(-0.721166\pi\)
0.985378 + 0.170381i \(0.0544998\pi\)
\(660\) −6.92184 + 11.9890i −0.269432 + 0.466670i
\(661\) −2.45138 1.41531i −0.0953477 0.0550490i 0.451568 0.892237i \(-0.350865\pi\)
−0.546916 + 0.837188i \(0.684198\pi\)
\(662\) −13.8603 24.0067i −0.538695 0.933047i
\(663\) −38.0264 + 0.452314i −1.47682 + 0.0175664i
\(664\) −12.6671 21.9401i −0.491579 0.851440i
\(665\) 44.0492i 1.70815i
\(666\) −1.27987 2.21680i −0.0495940 0.0858993i
\(667\) 0.509204 0.881968i 0.0197165 0.0341499i
\(668\) 5.08319 + 2.93478i 0.196675 + 0.113550i
\(669\) 13.1061i 0.506713i
\(670\) 6.71775 3.87850i 0.259529 0.149839i
\(671\) 4.32776 2.49863i 0.167071 0.0964587i
\(672\) −11.4611 −0.442123
\(673\) −11.0718 + 19.1770i −0.426787 + 0.739218i −0.996585 0.0825672i \(-0.973688\pi\)
0.569798 + 0.821785i \(0.307021\pi\)
\(674\) 13.1110 7.56965i 0.505018 0.291572i
\(675\) 24.4847 42.4088i 0.942417 1.63231i
\(676\) 15.0888 0.359004i 0.580338 0.0138079i
\(677\) −8.34053 14.4462i −0.320552 0.555213i 0.660050 0.751222i \(-0.270535\pi\)
−0.980602 + 0.196009i \(0.937202\pi\)
\(678\) 11.7435 6.78010i 0.451006 0.260388i
\(679\) −3.14913 −0.120853
\(680\) −41.2173 + 71.3905i −1.58061 + 2.73770i
\(681\) 14.4456i 0.553557i
\(682\) 12.0011 0.421270i 0.459546 0.0161313i
\(683\) −7.72902 4.46235i −0.295743 0.170747i 0.344786 0.938681i \(-0.387951\pi\)
−0.640529 + 0.767934i \(0.721285\pi\)
\(684\) 10.1977i 0.389919i
\(685\) −9.59488 16.6188i −0.366602 0.634973i
\(686\) −8.15249 14.1205i −0.311264 0.539125i
\(687\) −14.6700 8.46973i −0.559695 0.323140i
\(688\) −0.352626 + 0.610767i −0.0134438 + 0.0232853i
\(689\) 48.6876 0.579125i 1.85485 0.0220629i
\(690\) 0.991662 0.0377519
\(691\) 26.5286 + 15.3163i 1.00920 + 0.582659i 0.910956 0.412504i \(-0.135346\pi\)
0.0982394 + 0.995163i \(0.468679\pi\)
\(692\) 4.77123 8.26402i 0.181375 0.314151i
\(693\) 4.03519 0.153284
\(694\) 4.29714 + 2.48096i 0.163117 + 0.0941759i
\(695\) 67.1438i 2.54691i
\(696\) 16.3598 9.44535i 0.620118 0.358025i
\(697\) 9.64166i 0.365204i
\(698\) −7.57269 + 13.1163i −0.286631 + 0.496459i
\(699\) −41.6043 −1.57362
\(700\) 13.2898 + 7.67289i 0.502309 + 0.290008i
\(701\) −9.06444 + 15.7001i −0.342359 + 0.592983i −0.984870 0.173293i \(-0.944559\pi\)
0.642511 + 0.766276i \(0.277893\pi\)
\(702\) −0.221876 18.6533i −0.00837416 0.704024i
\(703\) −9.71433 16.8257i −0.366383 0.634594i
\(704\) 11.5976 + 6.69587i 0.437100 + 0.252360i
\(705\) 3.49554 + 6.05445i 0.131650 + 0.228024i
\(706\) −6.49737 11.2538i −0.244532 0.423541i
\(707\) 21.4725 + 12.3971i 0.807555 + 0.466242i
\(708\) 17.6735i 0.664210i
\(709\) −15.6739 9.04936i −0.588648 0.339856i 0.175915 0.984405i \(-0.443712\pi\)
−0.764563 + 0.644550i \(0.777045\pi\)
\(710\) −28.0989 16.2229i −1.05453 0.608836i
\(711\) 1.74762 3.02696i 0.0655408 0.113520i
\(712\) −5.87727 10.1797i −0.220260 0.381502i
\(713\) 0.630973 + 1.00936i 0.0236301 + 0.0378008i
\(714\) −14.7296 −0.551240
\(715\) 15.3700 27.3682i 0.574804 1.02351i
\(716\) −4.95196 + 8.57704i −0.185063 + 0.320539i
\(717\) −24.5362 + 14.1660i −0.916320 + 0.529038i
\(718\) −1.33889 + 2.31903i −0.0499670 + 0.0865454i
\(719\) 12.0736 + 20.9121i 0.450271 + 0.779892i 0.998403 0.0565003i \(-0.0179942\pi\)
−0.548132 + 0.836392i \(0.684661\pi\)
\(720\) −1.18788 0.685821i −0.0442695 0.0255590i
\(721\) 3.24186 + 1.87169i 0.120733 + 0.0697053i
\(722\) 38.5305i 1.43396i
\(723\) 22.6175 13.0582i 0.841155 0.485641i
\(724\) −11.8433 −0.440153
\(725\) −41.2970 −1.53373
\(726\) −5.92744 3.42221i −0.219988 0.127010i
\(727\) −8.75760 + 15.1686i −0.324801 + 0.562573i −0.981472 0.191605i \(-0.938631\pi\)
0.656671 + 0.754177i \(0.271964\pi\)
\(728\) 15.9152 0.189306i 0.589855 0.00701616i
\(729\) 28.1156 1.04132
\(730\) 18.1522i 0.671845i
\(731\) 8.22716 14.2499i 0.304293 0.527050i
\(732\) 1.68742 + 2.92270i 0.0623689 + 0.108026i
\(733\) −39.3000 + 22.6898i −1.45158 + 0.838068i −0.998571 0.0534390i \(-0.982982\pi\)
−0.453006 + 0.891507i \(0.649648\pi\)
\(734\) 4.98144i 0.183868i
\(735\) 23.6765i 0.873321i
\(736\) 1.17339i 0.0432517i
\(737\) 2.69672 + 4.67086i 0.0993349 + 0.172053i
\(738\) 1.28906 0.0474510
\(739\) −3.52146 2.03312i −0.129539 0.0747894i 0.433830 0.900995i \(-0.357162\pi\)
−0.563369 + 0.826205i \(0.690495\pi\)
\(740\) 10.6722 0.392318
\(741\) −0.458994 38.5881i −0.0168616 1.41757i
\(742\) 18.8592 0.692342
\(743\) 13.5889 7.84557i 0.498529 0.287826i −0.229577 0.973291i \(-0.573734\pi\)
0.728106 + 0.685464i \(0.240401\pi\)
\(744\) 0.774592 + 22.0665i 0.0283979 + 0.808997i
\(745\) −29.8247 + 51.6578i −1.09269 + 1.89260i
\(746\) 14.0978i 0.516156i
\(747\) −8.51734 + 4.91749i −0.311633 + 0.179922i
\(748\) −18.2315 10.5259i −0.666609 0.384867i
\(749\) −17.7694 + 10.2592i −0.649280 + 0.374862i
\(750\) −8.51016 14.7400i −0.310747 0.538230i
\(751\) 13.7522 0.501823 0.250912 0.968010i \(-0.419270\pi\)
0.250912 + 0.968010i \(0.419270\pi\)
\(752\) 0.394620 0.227834i 0.0143903 0.00830825i
\(753\) −19.0335 32.9669i −0.693618 1.20138i
\(754\) −13.5297 + 8.02741i −0.492721 + 0.292341i
\(755\) 12.1501 + 21.0447i 0.442189 + 0.765894i
\(756\) 9.99848i 0.363641i
\(757\) −11.9894 + 20.7662i −0.435761 + 0.754761i −0.997357 0.0726509i \(-0.976854\pi\)
0.561596 + 0.827411i \(0.310187\pi\)
\(758\) −1.43154 2.47950i −0.0519958 0.0900593i
\(759\) 0.689503i 0.0250274i
\(760\) −72.4450 41.8261i −2.62785 1.51719i
\(761\) 7.44971 4.30109i 0.270052 0.155914i −0.358859 0.933392i \(-0.616834\pi\)
0.628911 + 0.777477i \(0.283501\pi\)
\(762\) 2.01757 1.16484i 0.0730888 0.0421978i
\(763\) −8.42727 14.5965i −0.305088 0.528428i
\(764\) 13.6385 23.6226i 0.493424 0.854635i
\(765\) 27.7145 + 16.0010i 1.00202 + 0.578516i