Properties

Label 546.2.bu.a.197.6
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 197.6
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.a.449.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.63803 + 0.562898i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(1.20435 + 1.20435i) q^{5} +(-0.967672 + 1.43653i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.36629 + 1.84409i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.63803 + 0.562898i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(1.20435 + 1.20435i) q^{5} +(-0.967672 + 1.43653i) q^{6} +(0.965926 - 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.36629 + 1.84409i) q^{9} +(-1.47502 + 0.851606i) q^{10} +(2.44174 + 0.654262i) q^{11} +(-1.13713 - 1.30650i) q^{12} +(-3.45328 + 1.03675i) q^{13} +1.00000i q^{14} +(1.29484 + 2.65069i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.21230 - 2.09977i) q^{17} +(-2.39370 + 1.80838i) q^{18} +(-1.04216 - 3.88941i) q^{19} +(-0.440824 - 1.64518i) q^{20} +(1.72791 + 0.119765i) q^{21} +(-1.26394 + 2.18920i) q^{22} +(2.97403 + 5.15116i) q^{23} +(1.55629 - 0.760233i) q^{24} -2.09907i q^{25} +(-0.107646 - 3.60394i) q^{26} +(2.83802 + 4.35266i) q^{27} +(-0.965926 - 0.258819i) q^{28} +(0.0418274 - 0.0241491i) q^{29} +(-2.89550 + 0.564668i) q^{30} +(-5.46051 + 5.46051i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(3.63136 + 2.44615i) q^{33} +(1.71445 + 1.71445i) q^{34} +(1.47502 + 0.851606i) q^{35} +(-1.12722 - 2.78017i) q^{36} +(-0.589467 + 2.19992i) q^{37} +4.02661 q^{38} +(-6.24017 - 0.245623i) q^{39} +1.70321 q^{40} +(0.381675 - 1.42443i) q^{41} +(-0.562898 + 1.63803i) q^{42} +(-8.13197 - 4.69500i) q^{43} +(-1.78748 - 1.78748i) q^{44} +(0.628914 + 5.07078i) q^{45} +(-5.74538 + 1.53947i) q^{46} +(3.85521 - 3.85521i) q^{47} +(0.331531 + 1.70003i) q^{48} +(0.866025 - 0.500000i) q^{49} +(2.02755 + 0.543279i) q^{50} +(3.16774 - 2.75708i) q^{51} +(3.50900 + 0.828792i) q^{52} +1.50752i q^{53} +(-4.93888 + 1.61477i) q^{54} +(2.15275 + 3.72867i) q^{55} +(0.500000 - 0.866025i) q^{56} +(0.482245 - 6.95760i) q^{57} +(0.0125005 + 0.0466524i) q^{58} +(-0.153522 - 0.572954i) q^{59} +(0.203984 - 2.94299i) q^{60} +(4.34749 - 7.53008i) q^{61} +(-3.86117 - 6.68773i) q^{62} +(2.76295 + 1.16881i) q^{63} -1.00000i q^{64} +(-5.40758 - 2.91036i) q^{65} +(-3.30266 + 2.87451i) q^{66} +(-6.36486 - 1.70546i) q^{67} +(-2.09977 + 1.21230i) q^{68} +(1.97196 + 10.1118i) q^{69} +(-1.20435 + 1.20435i) q^{70} +(-7.41146 + 1.98589i) q^{71} +(2.97719 - 0.369252i) q^{72} +(5.96741 + 5.96741i) q^{73} +(-1.97239 - 1.13876i) q^{74} +(1.18156 - 3.43834i) q^{75} +(-1.04216 + 3.88941i) q^{76} +2.52787 q^{77} +(1.85233 - 5.96397i) q^{78} +6.92286 q^{79} +(-0.440824 + 1.64518i) q^{80} +(2.19866 + 8.72731i) q^{81} +(1.27711 + 0.737339i) q^{82} +(-9.18787 - 9.18787i) q^{83} +(-1.43653 - 0.967672i) q^{84} +(3.98890 - 1.06882i) q^{85} +(6.63973 - 6.63973i) q^{86} +(0.0821080 - 0.0160123i) q^{87} +(2.18920 - 1.26394i) q^{88} +(-14.5458 - 3.89754i) q^{89} +(-5.06078 - 0.704931i) q^{90} +(-3.06728 + 1.89520i) q^{91} -5.94805i q^{92} +(-12.0182 + 5.87077i) q^{93} +(2.72604 + 4.72165i) q^{94} +(3.42909 - 5.93935i) q^{95} +(-1.72791 - 0.119765i) q^{96} +(1.26639 + 4.72622i) q^{97} +(0.258819 + 0.965926i) q^{98} +(4.57134 + 6.05096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 1.63803 + 0.562898i 0.945718 + 0.324990i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 1.20435 + 1.20435i 0.538603 + 0.538603i 0.923118 0.384516i \(-0.125632\pi\)
−0.384516 + 0.923118i \(0.625632\pi\)
\(6\) −0.967672 + 1.43653i −0.395050 + 0.586460i
\(7\) 0.965926 0.258819i 0.365086 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.36629 + 1.84409i 0.788764 + 0.614697i
\(10\) −1.47502 + 0.851606i −0.466444 + 0.269301i
\(11\) 2.44174 + 0.654262i 0.736211 + 0.197267i 0.607394 0.794401i \(-0.292215\pi\)
0.128818 + 0.991668i \(0.458882\pi\)
\(12\) −1.13713 1.30650i −0.328260 0.377154i
\(13\) −3.45328 + 1.03675i −0.957768 + 0.287542i
\(14\) 1.00000i 0.267261i
\(15\) 1.29484 + 2.65069i 0.334326 + 0.684406i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.21230 2.09977i 0.294026 0.509269i −0.680732 0.732533i \(-0.738338\pi\)
0.974758 + 0.223264i \(0.0716713\pi\)
\(18\) −2.39370 + 1.80838i −0.564199 + 0.426238i
\(19\) −1.04216 3.88941i −0.239089 0.892291i −0.976263 0.216589i \(-0.930507\pi\)
0.737174 0.675703i \(-0.236160\pi\)
\(20\) −0.440824 1.64518i −0.0985712 0.367873i
\(21\) 1.72791 + 0.119765i 0.377060 + 0.0261348i
\(22\) −1.26394 + 2.18920i −0.269472 + 0.466739i
\(23\) 2.97403 + 5.15116i 0.620127 + 1.07409i 0.989462 + 0.144795i \(0.0462523\pi\)
−0.369334 + 0.929297i \(0.620414\pi\)
\(24\) 1.55629 0.760233i 0.317677 0.155182i
\(25\) 2.09907i 0.419814i
\(26\) −0.107646 3.60394i −0.0211110 0.706792i
\(27\) 2.83802 + 4.35266i 0.546178 + 0.837669i
\(28\) −0.965926 0.258819i −0.182543 0.0489122i
\(29\) 0.0418274 0.0241491i 0.00776715 0.00448437i −0.496111 0.868259i \(-0.665239\pi\)
0.503879 + 0.863775i \(0.331906\pi\)
\(30\) −2.89550 + 0.564668i −0.528644 + 0.103094i
\(31\) −5.46051 + 5.46051i −0.980737 + 0.980737i −0.999818 0.0190810i \(-0.993926\pi\)
0.0190810 + 0.999818i \(0.493926\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) 3.63136 + 2.44615i 0.632138 + 0.425820i
\(34\) 1.71445 + 1.71445i 0.294026 + 0.294026i
\(35\) 1.47502 + 0.851606i 0.249325 + 0.143948i
\(36\) −1.12722 2.78017i −0.187870 0.463362i
\(37\) −0.589467 + 2.19992i −0.0969077 + 0.361665i −0.997302 0.0734107i \(-0.976612\pi\)
0.900394 + 0.435075i \(0.143278\pi\)
\(38\) 4.02661 0.653203
\(39\) −6.24017 0.245623i −0.999226 0.0393312i
\(40\) 1.70321 0.269301
\(41\) 0.381675 1.42443i 0.0596076 0.222458i −0.929696 0.368327i \(-0.879931\pi\)
0.989304 + 0.145868i \(0.0465975\pi\)
\(42\) −0.562898 + 1.63803i −0.0868571 + 0.252754i
\(43\) −8.13197 4.69500i −1.24011 0.715980i −0.270997 0.962580i \(-0.587353\pi\)
−0.969117 + 0.246600i \(0.920687\pi\)
\(44\) −1.78748 1.78748i −0.269472 0.269472i
\(45\) 0.628914 + 5.07078i 0.0937529 + 0.755908i
\(46\) −5.74538 + 1.53947i −0.847109 + 0.226982i
\(47\) 3.85521 3.85521i 0.562340 0.562340i −0.367631 0.929972i \(-0.619831\pi\)
0.929972 + 0.367631i \(0.119831\pi\)
\(48\) 0.331531 + 1.70003i 0.0478524 + 0.245378i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) 2.02755 + 0.543279i 0.286738 + 0.0768313i
\(51\) 3.16774 2.75708i 0.443573 0.386069i
\(52\) 3.50900 + 0.828792i 0.486611 + 0.114933i
\(53\) 1.50752i 0.207074i 0.994626 + 0.103537i \(0.0330160\pi\)
−0.994626 + 0.103537i \(0.966984\pi\)
\(54\) −4.93888 + 1.61477i −0.672096 + 0.219742i
\(55\) 2.15275 + 3.72867i 0.290277 + 0.502774i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) 0.482245 6.95760i 0.0638749 0.921557i
\(58\) 0.0125005 + 0.0466524i 0.00164139 + 0.00612576i
\(59\) −0.153522 0.572954i −0.0199869 0.0745922i 0.955212 0.295922i \(-0.0956269\pi\)
−0.975199 + 0.221330i \(0.928960\pi\)
\(60\) 0.203984 2.94299i 0.0263343 0.379938i
\(61\) 4.34749 7.53008i 0.556639 0.964127i −0.441135 0.897441i \(-0.645424\pi\)
0.997774 0.0666865i \(-0.0212427\pi\)
\(62\) −3.86117 6.68773i −0.490368 0.849343i
\(63\) 2.76295 + 1.16881i 0.348099 + 0.147257i
\(64\) 1.00000i 0.125000i
\(65\) −5.40758 2.91036i −0.670727 0.360986i
\(66\) −3.30266 + 2.87451i −0.406530 + 0.353828i
\(67\) −6.36486 1.70546i −0.777591 0.208355i −0.151869 0.988401i \(-0.548529\pi\)
−0.625722 + 0.780046i \(0.715196\pi\)
\(68\) −2.09977 + 1.21230i −0.254634 + 0.147013i
\(69\) 1.97196 + 10.1118i 0.237397 + 1.21732i
\(70\) −1.20435 + 1.20435i −0.143948 + 0.143948i
\(71\) −7.41146 + 1.98589i −0.879578 + 0.235682i −0.670225 0.742158i \(-0.733802\pi\)
−0.209353 + 0.977840i \(0.567136\pi\)
\(72\) 2.97719 0.369252i 0.350865 0.0435167i
\(73\) 5.96741 + 5.96741i 0.698432 + 0.698432i 0.964072 0.265640i \(-0.0855832\pi\)
−0.265640 + 0.964072i \(0.585583\pi\)
\(74\) −1.97239 1.13876i −0.229286 0.132378i
\(75\) 1.18156 3.43834i 0.136435 0.397025i
\(76\) −1.04216 + 3.88941i −0.119544 + 0.446146i
\(77\) 2.52787 0.288078
\(78\) 1.85233 5.96397i 0.209735 0.675286i
\(79\) 6.92286 0.778883 0.389441 0.921051i \(-0.372668\pi\)
0.389441 + 0.921051i \(0.372668\pi\)
\(80\) −0.440824 + 1.64518i −0.0492856 + 0.183936i
\(81\) 2.19866 + 8.72731i 0.244296 + 0.969701i
\(82\) 1.27711 + 0.737339i 0.141033 + 0.0814254i
\(83\) −9.18787 9.18787i −1.00850 1.00850i −0.999964 0.00853620i \(-0.997283\pi\)
−0.00853620 0.999964i \(-0.502717\pi\)
\(84\) −1.43653 0.967672i −0.156738 0.105582i
\(85\) 3.98890 1.06882i 0.432657 0.115930i
\(86\) 6.63973 6.63973i 0.715980 0.715980i
\(87\) 0.0821080 0.0160123i 0.00880290 0.00171670i
\(88\) 2.18920 1.26394i 0.233370 0.134736i
\(89\) −14.5458 3.89754i −1.54186 0.413139i −0.614991 0.788534i \(-0.710840\pi\)
−0.926865 + 0.375396i \(0.877507\pi\)
\(90\) −5.06078 0.704931i −0.533453 0.0743063i
\(91\) −3.06728 + 1.89520i −0.321539 + 0.198670i
\(92\) 5.94805i 0.620127i
\(93\) −12.0182 + 5.87077i −1.24623 + 0.608771i
\(94\) 2.72604 + 4.72165i 0.281170 + 0.487001i
\(95\) 3.42909 5.93935i 0.351817 0.609364i
\(96\) −1.72791 0.119765i −0.176354 0.0122234i
\(97\) 1.26639 + 4.72622i 0.128582 + 0.479875i 0.999942 0.0107693i \(-0.00342805\pi\)
−0.871360 + 0.490644i \(0.836761\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 4.57134 + 6.05096i 0.459437 + 0.608144i
\(100\) −1.04953 + 1.81785i −0.104953 + 0.181785i
\(101\) 3.20791 + 5.55626i 0.319199 + 0.552869i 0.980321 0.197409i \(-0.0632528\pi\)
−0.661122 + 0.750278i \(0.729919\pi\)
\(102\) 1.84326 + 3.77339i 0.182510 + 0.373621i
\(103\) 12.8116i 1.26237i −0.775634 0.631183i \(-0.782570\pi\)
0.775634 0.631183i \(-0.217430\pi\)
\(104\) −1.70875 + 3.17493i −0.167557 + 0.311327i
\(105\) 1.93677 + 2.22525i 0.189009 + 0.217162i
\(106\) −1.45615 0.390174i −0.141434 0.0378971i
\(107\) 14.6203 8.44101i 1.41339 0.816023i 0.417688 0.908591i \(-0.362841\pi\)
0.995706 + 0.0925673i \(0.0295073\pi\)
\(108\) −0.281470 5.18852i −0.0270845 0.499266i
\(109\) 4.94720 4.94720i 0.473856 0.473856i −0.429304 0.903160i \(-0.641241\pi\)
0.903160 + 0.429304i \(0.141241\pi\)
\(110\) −4.15880 + 1.11435i −0.396526 + 0.106249i
\(111\) −2.20390 + 3.27173i −0.209185 + 0.310539i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 2.00294 + 1.15640i 0.188421 + 0.108785i 0.591243 0.806494i \(-0.298637\pi\)
−0.402822 + 0.915278i \(0.631971\pi\)
\(114\) 6.59571 + 2.26657i 0.617745 + 0.212284i
\(115\) −2.62204 + 9.78559i −0.244507 + 0.912511i
\(116\) −0.0482981 −0.00448437
\(117\) −10.0833 3.91492i −0.932204 0.361934i
\(118\) 0.593165 0.0546053
\(119\) 0.627533 2.34199i 0.0575259 0.214690i
\(120\) 2.78991 + 0.958735i 0.254683 + 0.0875202i
\(121\) −3.99226 2.30493i −0.362932 0.209539i
\(122\) 6.14828 + 6.14828i 0.556639 + 0.556639i
\(123\) 1.42700 2.11841i 0.128669 0.191011i
\(124\) 7.45920 1.99869i 0.669856 0.179487i
\(125\) 8.54978 8.54978i 0.764716 0.764716i
\(126\) −1.84409 + 2.36629i −0.164285 + 0.210806i
\(127\) 7.37771 4.25953i 0.654666 0.377972i −0.135575 0.990767i \(-0.543288\pi\)
0.790242 + 0.612795i \(0.209955\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −10.6776 12.2680i −0.940112 1.08014i
\(130\) 4.21078 4.47006i 0.369309 0.392050i
\(131\) 20.7862i 1.81609i −0.418868 0.908047i \(-0.637573\pi\)
0.418868 0.908047i \(-0.362427\pi\)
\(132\) −1.92177 3.93411i −0.167269 0.342420i
\(133\) −2.01331 3.48715i −0.174576 0.302374i
\(134\) 3.29469 5.70657i 0.284618 0.492973i
\(135\) −1.82416 + 8.66011i −0.156998 + 0.745344i
\(136\) −0.627533 2.34199i −0.0538106 0.200824i
\(137\) 0.292252 + 1.09070i 0.0249688 + 0.0931848i 0.977286 0.211925i \(-0.0679734\pi\)
−0.952317 + 0.305110i \(0.901307\pi\)
\(138\) −10.2777 0.712366i −0.874893 0.0606406i
\(139\) 4.33495 7.50836i 0.367686 0.636851i −0.621517 0.783400i \(-0.713484\pi\)
0.989203 + 0.146550i \(0.0468169\pi\)
\(140\) −0.851606 1.47502i −0.0719738 0.124662i
\(141\) 8.48504 4.14486i 0.714570 0.349060i
\(142\) 7.67291i 0.643896i
\(143\) −9.11031 + 0.272114i −0.761842 + 0.0227553i
\(144\) −0.413884 + 2.97131i −0.0344903 + 0.247609i
\(145\) 0.0794589 + 0.0212909i 0.00659870 + 0.00176812i
\(146\) −7.30855 + 4.21960i −0.604860 + 0.349216i
\(147\) 1.70003 0.331531i 0.140216 0.0273442i
\(148\) 1.61045 1.61045i 0.132378 0.132378i
\(149\) 12.7416 3.41409i 1.04383 0.279693i 0.304130 0.952631i \(-0.401634\pi\)
0.739700 + 0.672937i \(0.234968\pi\)
\(150\) 3.01537 + 2.03121i 0.246204 + 0.165848i
\(151\) 0.353814 + 0.353814i 0.0287930 + 0.0287930i 0.721357 0.692564i \(-0.243519\pi\)
−0.692564 + 0.721357i \(0.743519\pi\)
\(152\) −3.48715 2.01331i −0.282845 0.163301i
\(153\) 6.74082 2.73307i 0.544963 0.220955i
\(154\) −0.654262 + 2.44174i −0.0527219 + 0.196761i
\(155\) −13.1528 −1.05646
\(156\) 5.28133 + 3.33280i 0.422845 + 0.266837i
\(157\) 4.53573 0.361991 0.180995 0.983484i \(-0.442068\pi\)
0.180995 + 0.983484i \(0.442068\pi\)
\(158\) −1.79177 + 6.68697i −0.142545 + 0.531987i
\(159\) −0.848580 + 2.46936i −0.0672967 + 0.195833i
\(160\) −1.47502 0.851606i −0.116611 0.0673254i
\(161\) 4.20591 + 4.20591i 0.331472 + 0.331472i
\(162\) −8.99899 0.135047i −0.707027 0.0106103i
\(163\) −14.2337 + 3.81390i −1.11487 + 0.298727i −0.768804 0.639484i \(-0.779148\pi\)
−0.346062 + 0.938212i \(0.612481\pi\)
\(164\) −1.04275 + 1.04275i −0.0814254 + 0.0814254i
\(165\) 1.42741 + 7.31946i 0.111124 + 0.569819i
\(166\) 11.2528 6.49681i 0.873386 0.504250i
\(167\) 2.78438 + 0.746072i 0.215462 + 0.0577328i 0.364935 0.931033i \(-0.381091\pi\)
−0.149473 + 0.988766i \(0.547758\pi\)
\(168\) 1.30650 1.13713i 0.100799 0.0877313i
\(169\) 10.8503 7.16036i 0.834639 0.550797i
\(170\) 4.12961i 0.316727i
\(171\) 4.70636 11.1253i 0.359904 0.850774i
\(172\) 4.69500 + 8.13197i 0.357990 + 0.620057i
\(173\) −0.785049 + 1.35974i −0.0596862 + 0.103379i −0.894325 0.447419i \(-0.852343\pi\)
0.834638 + 0.550798i \(0.185677\pi\)
\(174\) −0.00578440 + 0.0834545i −0.000438514 + 0.00632667i
\(175\) −0.543279 2.02755i −0.0410680 0.153268i
\(176\) 0.654262 + 2.44174i 0.0493168 + 0.184053i
\(177\) 0.0710402 1.02493i 0.00533970 0.0770387i
\(178\) 7.52948 13.0414i 0.564358 0.977497i
\(179\) 13.3091 + 23.0520i 0.994767 + 1.72299i 0.585867 + 0.810408i \(0.300754\pi\)
0.408900 + 0.912579i \(0.365912\pi\)
\(180\) 1.99074 4.70588i 0.148381 0.350756i
\(181\) 8.15383i 0.606069i −0.952980 0.303035i \(-0.902000\pi\)
0.952980 0.303035i \(-0.0979998\pi\)
\(182\) −1.03675 3.45328i −0.0768488 0.255974i
\(183\) 11.3600 9.88730i 0.839755 0.730890i
\(184\) 5.74538 + 1.53947i 0.423555 + 0.113491i
\(185\) −3.35941 + 1.93955i −0.246988 + 0.142599i
\(186\) −2.56019 13.1282i −0.187722 0.962603i
\(187\) 4.33392 4.33392i 0.316928 0.316928i
\(188\) −5.26631 + 1.41110i −0.384085 + 0.102915i
\(189\) 3.86787 + 3.46981i 0.281346 + 0.252392i
\(190\) 4.84946 + 4.84946i 0.351817 + 0.351817i
\(191\) −8.73595 5.04370i −0.632111 0.364949i 0.149458 0.988768i \(-0.452247\pi\)
−0.781569 + 0.623819i \(0.785580\pi\)
\(192\) 0.562898 1.63803i 0.0406237 0.118215i
\(193\) −4.57467 + 17.0729i −0.329292 + 1.22893i 0.580635 + 0.814164i \(0.302804\pi\)
−0.909927 + 0.414769i \(0.863862\pi\)
\(194\) −4.89295 −0.351293
\(195\) −7.21954 7.81118i −0.517002 0.559370i
\(196\) −1.00000 −0.0714286
\(197\) −5.91152 + 22.0621i −0.421178 + 1.57186i 0.350951 + 0.936394i \(0.385858\pi\)
−0.772130 + 0.635465i \(0.780808\pi\)
\(198\) −7.02793 + 2.84948i −0.499453 + 0.202503i
\(199\) −14.3928 8.30966i −1.02028 0.589056i −0.106091 0.994356i \(-0.533834\pi\)
−0.914184 + 0.405300i \(0.867167\pi\)
\(200\) −1.48427 1.48427i −0.104953 0.104953i
\(201\) −9.46583 6.37636i −0.667668 0.449754i
\(202\) −6.19721 + 1.66054i −0.436034 + 0.116835i
\(203\) 0.0341519 0.0341519i 0.00239699 0.00239699i
\(204\) −4.12189 + 0.803831i −0.288590 + 0.0562795i
\(205\) 2.17519 1.25584i 0.151922 0.0877119i
\(206\) 12.3751 + 3.31589i 0.862213 + 0.231029i
\(207\) −2.46180 + 17.6735i −0.171107 + 1.22839i
\(208\) −2.62449 2.47226i −0.181976 0.171420i
\(209\) 10.1788i 0.704079i
\(210\) −2.65069 + 1.29484i −0.182915 + 0.0893524i
\(211\) −13.4706 23.3318i −0.927357 1.60623i −0.787726 0.616026i \(-0.788742\pi\)
−0.139631 0.990204i \(-0.544592\pi\)
\(212\) 0.753759 1.30555i 0.0517684 0.0896655i
\(213\) −13.2581 0.918942i −0.908427 0.0629649i
\(214\) 4.36939 + 16.3068i 0.298685 + 1.11471i
\(215\) −4.13933 15.4482i −0.282300 1.05356i
\(216\) 5.08458 + 1.07101i 0.345962 + 0.0728730i
\(217\) −3.86117 + 6.68773i −0.262113 + 0.453993i
\(218\) 3.49820 + 6.05906i 0.236928 + 0.410371i
\(219\) 6.41576 + 13.1338i 0.433537 + 0.887503i
\(220\) 4.30550i 0.290277i
\(221\) −2.00949 + 8.50794i −0.135173 + 0.572306i
\(222\) −2.58984 2.97559i −0.173818 0.199708i
\(223\) −25.7832 6.90858i −1.72657 0.462632i −0.747180 0.664622i \(-0.768593\pi\)
−0.979388 + 0.201989i \(0.935259\pi\)
\(224\) −0.866025 + 0.500000i −0.0578638 + 0.0334077i
\(225\) 3.87087 4.96701i 0.258058 0.331134i
\(226\) −1.63539 + 1.63539i −0.108785 + 0.108785i
\(227\) −9.06914 + 2.43007i −0.601940 + 0.161289i −0.546904 0.837195i \(-0.684194\pi\)
−0.0550355 + 0.998484i \(0.517527\pi\)
\(228\) −3.89644 + 5.78434i −0.258048 + 0.383077i
\(229\) 3.49552 + 3.49552i 0.230990 + 0.230990i 0.813106 0.582116i \(-0.197775\pi\)
−0.582116 + 0.813106i \(0.697775\pi\)
\(230\) −8.77352 5.06539i −0.578509 0.334002i
\(231\) 4.14073 + 1.42294i 0.272440 + 0.0936223i
\(232\) 0.0125005 0.0466524i 0.000820696 0.00306288i
\(233\) −19.8275 −1.29894 −0.649472 0.760386i \(-0.725010\pi\)
−0.649472 + 0.760386i \(0.725010\pi\)
\(234\) 6.39128 8.72649i 0.417811 0.570468i
\(235\) 9.28606 0.605756
\(236\) −0.153522 + 0.572954i −0.00999346 + 0.0372961i
\(237\) 11.3399 + 3.89687i 0.736603 + 0.253129i
\(238\) 2.09977 + 1.21230i 0.136108 + 0.0785818i
\(239\) 14.9255 + 14.9255i 0.965451 + 0.965451i 0.999423 0.0339722i \(-0.0108158\pi\)
−0.0339722 + 0.999423i \(0.510816\pi\)
\(240\) −1.64815 + 2.44671i −0.106388 + 0.157934i
\(241\) −27.0678 + 7.25281i −1.74359 + 0.467194i −0.983240 0.182316i \(-0.941641\pi\)
−0.760353 + 0.649510i \(0.774974\pi\)
\(242\) 3.25966 3.25966i 0.209539 0.209539i
\(243\) −1.31111 + 15.5332i −0.0841077 + 0.996457i
\(244\) −7.53008 + 4.34749i −0.482064 + 0.278320i
\(245\) 1.64518 + 0.440824i 0.105106 + 0.0281632i
\(246\) 1.67690 + 1.92667i 0.106915 + 0.122840i
\(247\) 7.63122 + 12.3508i 0.485563 + 0.785860i
\(248\) 7.72233i 0.490368i
\(249\) −9.87818 20.2219i −0.626004 1.28151i
\(250\) 6.04561 + 10.4713i 0.382358 + 0.662263i
\(251\) 4.42232 7.65968i 0.279134 0.483474i −0.692036 0.721863i \(-0.743286\pi\)
0.971170 + 0.238389i \(0.0766193\pi\)
\(252\) −1.80838 2.39370i −0.113917 0.150789i
\(253\) 3.89158 + 14.5236i 0.244662 + 0.913089i
\(254\) 2.20489 + 8.22877i 0.138347 + 0.516319i
\(255\) 7.13558 + 0.494581i 0.446847 + 0.0309719i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 7.05002 + 12.2110i 0.439768 + 0.761701i 0.997671 0.0682054i \(-0.0217273\pi\)
−0.557903 + 0.829906i \(0.688394\pi\)
\(258\) 14.6136 7.13859i 0.909801 0.444429i
\(259\) 2.27752i 0.141519i
\(260\) 3.22792 + 5.22423i 0.200187 + 0.323993i
\(261\) 0.143509 + 0.0199898i 0.00888297 + 0.00123734i
\(262\) 20.0779 + 5.37985i 1.24042 + 0.332368i
\(263\) 2.32601 1.34293i 0.143428 0.0828083i −0.426569 0.904455i \(-0.640278\pi\)
0.569997 + 0.821647i \(0.306944\pi\)
\(264\) 4.29745 0.838068i 0.264490 0.0515795i
\(265\) −1.81558 + 1.81558i −0.111530 + 0.111530i
\(266\) 3.88941 1.04216i 0.238475 0.0638991i
\(267\) −21.6326 14.5721i −1.32389 0.891800i
\(268\) 4.65940 + 4.65940i 0.284618 + 0.284618i
\(269\) 21.1279 + 12.1982i 1.28819 + 0.743736i 0.978331 0.207047i \(-0.0663853\pi\)
0.309858 + 0.950783i \(0.399719\pi\)
\(270\) −7.89290 4.00340i −0.480347 0.243639i
\(271\) −5.12304 + 19.1194i −0.311202 + 1.16142i 0.616271 + 0.787534i \(0.288643\pi\)
−0.927474 + 0.373889i \(0.878024\pi\)
\(272\) 2.42460 0.147013
\(273\) −6.09111 + 1.37782i −0.368651 + 0.0833894i
\(274\) −1.12918 −0.0682160
\(275\) 1.37334 5.12538i 0.0828156 0.309072i
\(276\) 3.34815 9.74309i 0.201535 0.586465i
\(277\) 19.5143 + 11.2666i 1.17250 + 0.676943i 0.954268 0.298953i \(-0.0966375\pi\)
0.218233 + 0.975897i \(0.429971\pi\)
\(278\) 6.13055 + 6.13055i 0.367686 + 0.367686i
\(279\) −22.9908 + 2.85148i −1.37643 + 0.170714i
\(280\) 1.64518 0.440824i 0.0983181 0.0263443i
\(281\) 0.262594 0.262594i 0.0156650 0.0156650i −0.699231 0.714896i \(-0.746474\pi\)
0.714896 + 0.699231i \(0.246474\pi\)
\(282\) 1.80754 + 9.26869i 0.107637 + 0.551943i
\(283\) −25.0610 + 14.4690i −1.48972 + 0.860090i −0.999931 0.0117514i \(-0.996259\pi\)
−0.489788 + 0.871841i \(0.662926\pi\)
\(284\) 7.41146 + 1.98589i 0.439789 + 0.117841i
\(285\) 8.96020 7.79861i 0.530756 0.461950i
\(286\) 2.09508 8.87031i 0.123885 0.524513i
\(287\) 1.47468i 0.0870475i
\(288\) −2.76295 1.16881i −0.162808 0.0688730i
\(289\) 5.56065 + 9.63133i 0.327097 + 0.566549i
\(290\) −0.0411309 + 0.0712409i −0.00241529 + 0.00418341i
\(291\) −0.586001 + 8.45455i −0.0343520 + 0.495614i
\(292\) −2.18422 8.15163i −0.127822 0.477038i
\(293\) 7.64906 + 28.5467i 0.446863 + 1.66771i 0.710971 + 0.703222i \(0.248256\pi\)
−0.264108 + 0.964493i \(0.585078\pi\)
\(294\) −0.119765 + 1.72791i −0.00698481 + 0.100773i
\(295\) 0.505143 0.874933i 0.0294106 0.0509406i
\(296\) 1.13876 + 1.97239i 0.0661892 + 0.114643i
\(297\) 4.08193 + 12.4849i 0.236857 + 0.724445i
\(298\) 13.1910i 0.764136i
\(299\) −15.6106 14.7051i −0.902784 0.850418i
\(300\) −2.74243 + 2.38691i −0.158335 + 0.137808i
\(301\) −9.07004 2.43031i −0.522788 0.140081i
\(302\) −0.433332 + 0.250184i −0.0249355 + 0.0143965i
\(303\) 2.12704 + 10.9071i 0.122196 + 0.626594i
\(304\) 2.84724 2.84724i 0.163301 0.163301i
\(305\) 14.3048 3.83295i 0.819089 0.219474i
\(306\) 0.895289 + 7.21850i 0.0511802 + 0.412654i
\(307\) 3.04668 + 3.04668i 0.173883 + 0.173883i 0.788683 0.614800i \(-0.210763\pi\)
−0.614800 + 0.788683i \(0.710763\pi\)
\(308\) −2.18920 1.26394i −0.124741 0.0720194i
\(309\) 7.21164 20.9858i 0.410256 1.19384i
\(310\) 3.40419 12.7046i 0.193345 0.721572i
\(311\) −25.5871 −1.45091 −0.725455 0.688269i \(-0.758371\pi\)
−0.725455 + 0.688269i \(0.758371\pi\)
\(312\) −4.58615 + 4.23878i −0.259639 + 0.239974i
\(313\) 17.7604 1.00388 0.501938 0.864903i \(-0.332620\pi\)
0.501938 + 0.864903i \(0.332620\pi\)
\(314\) −1.17393 + 4.38118i −0.0662489 + 0.247244i
\(315\) 1.91990 + 4.73523i 0.108174 + 0.266800i
\(316\) −5.99537 3.46143i −0.337266 0.194721i
\(317\) 0.122626 + 0.122626i 0.00688738 + 0.00688738i 0.710542 0.703655i \(-0.248450\pi\)
−0.703655 + 0.710542i \(0.748450\pi\)
\(318\) −2.16559 1.45878i −0.121440 0.0818045i
\(319\) 0.117931 0.0315996i 0.00660288 0.00176924i
\(320\) 1.20435 1.20435i 0.0673254 0.0673254i
\(321\) 28.6999 5.59692i 1.60187 0.312389i
\(322\) −5.15116 + 2.97403i −0.287063 + 0.165736i
\(323\) −9.43027 2.52683i −0.524714 0.140597i
\(324\) 2.45955 8.65740i 0.136642 0.480967i
\(325\) 2.17620 + 7.24868i 0.120714 + 0.402084i
\(326\) 14.7358i 0.816138i
\(327\) 10.8884 5.31890i 0.602132 0.294136i
\(328\) −0.737339 1.27711i −0.0407127 0.0705165i
\(329\) 2.72604 4.72165i 0.150292 0.260313i
\(330\) −7.43950 0.515646i −0.409531 0.0283854i
\(331\) 1.92841 + 7.19693i 0.105995 + 0.395579i 0.998456 0.0555454i \(-0.0176897\pi\)
−0.892461 + 0.451124i \(0.851023\pi\)
\(332\) 3.36299 + 12.5509i 0.184568 + 0.688818i
\(333\) −5.45170 + 4.11862i −0.298751 + 0.225699i
\(334\) −1.44130 + 2.49641i −0.0788645 + 0.136597i
\(335\) −5.61156 9.71951i −0.306592 0.531033i
\(336\) 0.760233 + 1.55629i 0.0414741 + 0.0849027i
\(337\) 19.7859i 1.07781i 0.842368 + 0.538903i \(0.181161\pi\)
−0.842368 + 0.538903i \(0.818839\pi\)
\(338\) 4.10811 + 12.3338i 0.223452 + 0.670872i
\(339\) 2.62994 + 3.02166i 0.142839 + 0.164114i
\(340\) −3.98890 1.06882i −0.216328 0.0579650i
\(341\) −16.9057 + 9.76053i −0.915497 + 0.528563i
\(342\) 9.52813 + 7.42543i 0.515222 + 0.401521i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −9.07004 + 2.43031i −0.489024 + 0.131034i
\(345\) −9.80328 + 14.5532i −0.527791 + 0.783516i
\(346\) −1.11023 1.11023i −0.0596862 0.0596862i
\(347\) 28.5337 + 16.4739i 1.53177 + 0.884367i 0.999280 + 0.0379296i \(0.0120763\pi\)
0.532488 + 0.846437i \(0.321257\pi\)
\(348\) −0.0791138 0.0271869i −0.00424094 0.00145737i
\(349\) 7.05811 26.3412i 0.377812 1.41001i −0.471380 0.881930i \(-0.656244\pi\)
0.849192 0.528084i \(-0.177089\pi\)
\(350\) 2.09907 0.112200
\(351\) −14.3131 12.0886i −0.763976 0.645244i
\(352\) −2.52787 −0.134736
\(353\) 2.61659 9.76525i 0.139267 0.519752i −0.860677 0.509152i \(-0.829959\pi\)
0.999944 0.0105999i \(-0.00337411\pi\)
\(354\) 0.971623 + 0.333892i 0.0516412 + 0.0177461i
\(355\) −11.3177 6.53429i −0.600683 0.346804i
\(356\) 10.6483 + 10.6483i 0.564358 + 0.564358i
\(357\) 2.34622 3.48301i 0.124175 0.184340i
\(358\) −25.7112 + 6.88928i −1.35888 + 0.364110i
\(359\) −7.56706 + 7.56706i −0.399374 + 0.399374i −0.878012 0.478638i \(-0.841131\pi\)
0.478638 + 0.878012i \(0.341131\pi\)
\(360\) 4.03029 + 3.14088i 0.212415 + 0.165539i
\(361\) 2.41310 1.39320i 0.127005 0.0733265i
\(362\) 7.87600 + 2.11037i 0.413953 + 0.110918i
\(363\) −5.24200 6.02278i −0.275134 0.316114i
\(364\) 3.60394 0.107646i 0.188898 0.00564216i
\(365\) 14.3737i 0.752355i
\(366\) 6.61022 + 13.5319i 0.345522 + 0.707325i
\(367\) −13.0944 22.6802i −0.683524 1.18390i −0.973898 0.226986i \(-0.927113\pi\)
0.290374 0.956913i \(-0.406220\pi\)
\(368\) −2.97403 + 5.15116i −0.155032 + 0.268523i
\(369\) 3.52993 2.66677i 0.183761 0.138827i
\(370\) −1.00399 3.74693i −0.0521948 0.194794i
\(371\) 0.390174 + 1.45615i 0.0202568 + 0.0755996i
\(372\) 13.3435 + 0.924861i 0.691826 + 0.0479518i
\(373\) −14.4447 + 25.0190i −0.747920 + 1.29544i 0.200897 + 0.979612i \(0.435614\pi\)
−0.948818 + 0.315824i \(0.897719\pi\)
\(374\) 3.06454 + 5.30795i 0.158464 + 0.274467i
\(375\) 18.8175 9.19215i 0.971730 0.474681i
\(376\) 5.45209i 0.281170i
\(377\) −0.119405 + 0.126758i −0.00614969 + 0.00652836i
\(378\) −4.35266 + 2.83802i −0.223877 + 0.145972i
\(379\) −20.9024 5.60078i −1.07368 0.287693i −0.321678 0.946849i \(-0.604247\pi\)
−0.752006 + 0.659156i \(0.770914\pi\)
\(380\) −5.93935 + 3.42909i −0.304682 + 0.175908i
\(381\) 14.4826 2.82433i 0.741966 0.144695i
\(382\) 7.13287 7.13287i 0.364949 0.364949i
\(383\) −14.7133 + 3.94240i −0.751812 + 0.201447i −0.614322 0.789056i \(-0.710570\pi\)
−0.137490 + 0.990503i \(0.543904\pi\)
\(384\) 1.43653 + 0.967672i 0.0733075 + 0.0493813i
\(385\) 3.04445 + 3.04445i 0.155160 + 0.155160i
\(386\) −15.3071 8.83758i −0.779113 0.449821i
\(387\) −10.5846 26.1058i −0.538046 1.32703i
\(388\) 1.26639 4.72622i 0.0642911 0.239938i
\(389\) −20.6777 −1.04840 −0.524200 0.851595i \(-0.675636\pi\)
−0.524200 + 0.851595i \(0.675636\pi\)
\(390\) 9.41357 4.95186i 0.476675 0.250747i
\(391\) 14.4217 0.729335
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 11.7005 34.0484i 0.590212 1.71751i
\(394\) −19.7803 11.4202i −0.996518 0.575340i
\(395\) 8.33757 + 8.33757i 0.419509 + 0.419509i
\(396\) −0.933421 7.52595i −0.0469062 0.378193i
\(397\) 2.56934 0.688451i 0.128951 0.0345524i −0.193766 0.981048i \(-0.562070\pi\)
0.322717 + 0.946495i \(0.395404\pi\)
\(398\) 11.7516 11.7516i 0.589056 0.589056i
\(399\) −1.33495 6.84534i −0.0668309 0.342696i
\(400\) 1.81785 1.04953i 0.0908924 0.0524767i
\(401\) −4.02361 1.07812i −0.200930 0.0538389i 0.156951 0.987606i \(-0.449834\pi\)
−0.357880 + 0.933768i \(0.616500\pi\)
\(402\) 8.60903 7.49297i 0.429379 0.373715i
\(403\) 13.1955 24.5179i 0.657316 1.22132i
\(404\) 6.41582i 0.319199i
\(405\) −7.86279 + 13.1587i −0.390705 + 0.653862i
\(406\) 0.0241491 + 0.0418274i 0.00119850 + 0.00207586i
\(407\) −2.87865 + 4.98596i −0.142689 + 0.247145i
\(408\) 0.290381 4.18948i 0.0143760 0.207410i
\(409\) −5.42905 20.2615i −0.268449 1.00187i −0.960105 0.279639i \(-0.909785\pi\)
0.691656 0.722227i \(-0.256881\pi\)
\(410\) 0.650073 + 2.42610i 0.0321048 + 0.119817i
\(411\) −0.135235 + 1.95111i −0.00667066 + 0.0962411i
\(412\) −6.40581 + 11.0952i −0.315592 + 0.546621i
\(413\) −0.296583 0.513696i −0.0145939 0.0252773i
\(414\) −16.4341 6.95216i −0.807694 0.341680i
\(415\) 22.1309i 1.08636i
\(416\) 3.06728 1.89520i 0.150386 0.0929196i
\(417\) 11.3272 9.85878i 0.554697 0.482787i
\(418\) 9.83193 + 2.63446i 0.480895 + 0.128855i
\(419\) −12.6256 + 7.28938i −0.616800 + 0.356109i −0.775622 0.631198i \(-0.782564\pi\)
0.158822 + 0.987307i \(0.449230\pi\)
\(420\) −0.564668 2.89550i −0.0275530 0.141286i
\(421\) 13.7352 13.7352i 0.669413 0.669413i −0.288167 0.957580i \(-0.593046\pi\)
0.957580 + 0.288167i \(0.0930459\pi\)
\(422\) 26.0233 6.97292i 1.26679 0.339436i
\(423\) 16.2319 2.01319i 0.789222 0.0978848i
\(424\) 1.06598 + 1.06598i 0.0517684 + 0.0517684i
\(425\) −4.40756 2.54471i −0.213798 0.123436i
\(426\) 4.31907 12.5685i 0.209259 0.608944i
\(427\) 2.25043 8.39871i 0.108906 0.406442i
\(428\) −16.8820 −0.816023
\(429\) −15.0761 4.68245i −0.727883 0.226071i
\(430\) 15.9932 0.771258
\(431\) −3.62793 + 13.5396i −0.174751 + 0.652181i 0.821842 + 0.569715i \(0.192946\pi\)
−0.996594 + 0.0824664i \(0.973720\pi\)
\(432\) −2.35050 + 4.63413i −0.113089 + 0.222960i
\(433\) 13.5616 + 7.82982i 0.651731 + 0.376277i 0.789119 0.614240i \(-0.210537\pi\)
−0.137388 + 0.990517i \(0.543871\pi\)
\(434\) −5.46051 5.46051i −0.262113 0.262113i
\(435\) 0.118171 + 0.0796025i 0.00566589 + 0.00381665i
\(436\) −6.75800 + 1.81080i −0.323650 + 0.0867216i
\(437\) 16.9355 16.9355i 0.810137 0.810137i
\(438\) −14.3468 + 2.79785i −0.685519 + 0.133687i
\(439\) −28.4951 + 16.4517i −1.36000 + 0.785195i −0.989623 0.143688i \(-0.954104\pi\)
−0.370374 + 0.928883i \(0.620771\pi\)
\(440\) 4.15880 + 1.11435i 0.198263 + 0.0531244i
\(441\) 2.97131 + 0.413884i 0.141491 + 0.0197087i
\(442\) −7.69795 4.14304i −0.366154 0.197064i
\(443\) 16.8490i 0.800518i −0.916402 0.400259i \(-0.868920\pi\)
0.916402 0.400259i \(-0.131080\pi\)
\(444\) 3.54449 1.73145i 0.168214 0.0821710i
\(445\) −12.8243 22.2123i −0.607930 1.05297i
\(446\) 13.3463 23.1165i 0.631968 1.09460i
\(447\) 22.7929 + 1.57982i 1.07807 + 0.0747228i
\(448\) −0.258819 0.965926i −0.0122281 0.0456357i
\(449\) 5.03482 + 18.7902i 0.237608 + 0.886765i 0.976956 + 0.213441i \(0.0684673\pi\)
−0.739348 + 0.673324i \(0.764866\pi\)
\(450\) 3.79591 + 5.02453i 0.178941 + 0.236859i
\(451\) 1.86390 3.22837i 0.0877675 0.152018i
\(452\) −1.15640 2.00294i −0.0543923 0.0942103i
\(453\) 0.380397 + 0.778720i 0.0178726 + 0.0365875i
\(454\) 9.38906i 0.440651i
\(455\) −5.97658 1.41161i −0.280186 0.0661772i
\(456\) −4.57877 5.26077i −0.214420 0.246358i
\(457\) 32.2742 + 8.64783i 1.50972 + 0.404529i 0.916343 0.400395i \(-0.131127\pi\)
0.593379 + 0.804924i \(0.297794\pi\)
\(458\) −4.28112 + 2.47170i −0.200044 + 0.115495i
\(459\) 12.5801 0.682453i 0.587189 0.0318542i
\(460\) 7.16355 7.16355i 0.334002 0.334002i
\(461\) 12.6673 3.39420i 0.589976 0.158084i 0.0485337 0.998822i \(-0.484545\pi\)
0.541442 + 0.840738i \(0.317879\pi\)
\(462\) −2.44615 + 3.63136i −0.113805 + 0.168946i
\(463\) 14.6471 + 14.6471i 0.680707 + 0.680707i 0.960160 0.279452i \(-0.0901528\pi\)
−0.279452 + 0.960160i \(0.590153\pi\)
\(464\) 0.0418274 + 0.0241491i 0.00194179 + 0.00112109i
\(465\) −21.5446 7.40367i −0.999109 0.343337i
\(466\) 5.13174 19.1519i 0.237723 0.887195i
\(467\) 15.2948 0.707759 0.353880 0.935291i \(-0.384862\pi\)
0.353880 + 0.935291i \(0.384862\pi\)
\(468\) 6.77496 + 8.43208i 0.313172 + 0.389773i
\(469\) −6.58939 −0.304270
\(470\) −2.40341 + 8.96965i −0.110861 + 0.413739i
\(471\) 7.42967 + 2.55316i 0.342341 + 0.117643i
\(472\) −0.513696 0.296583i −0.0236448 0.0136513i
\(473\) −16.7844 16.7844i −0.771747 0.771747i
\(474\) −6.69906 + 9.94488i −0.307698 + 0.456784i
\(475\) −8.16414 + 2.18757i −0.374596 + 0.100373i
\(476\) −1.71445 + 1.71445i −0.0785818 + 0.0785818i
\(477\) −2.78000 + 3.56723i −0.127287 + 0.163332i
\(478\) −18.2799 + 10.5539i −0.836105 + 0.482725i
\(479\) −16.6395 4.45855i −0.760279 0.203716i −0.142206 0.989837i \(-0.545420\pi\)
−0.618073 + 0.786121i \(0.712086\pi\)
\(480\) −1.93677 2.22525i −0.0884010 0.101568i
\(481\) −0.245165 8.20807i −0.0111786 0.374256i
\(482\) 28.0227i 1.27640i
\(483\) 4.52191 + 9.25690i 0.205754 + 0.421204i
\(484\) 2.30493 + 3.99226i 0.104770 + 0.181466i
\(485\) −4.16686 + 7.21721i −0.189207 + 0.327717i
\(486\) −14.6646 5.28673i −0.665200 0.239811i
\(487\) −0.660728 2.46587i −0.0299404 0.111739i 0.949338 0.314255i \(-0.101755\pi\)
−0.979279 + 0.202516i \(0.935088\pi\)
\(488\) −2.25043 8.39871i −0.101872 0.380192i
\(489\) −25.4620 1.76482i −1.15143 0.0798080i
\(490\) −0.851606 + 1.47502i −0.0384716 + 0.0666348i
\(491\) 11.1457 + 19.3048i 0.502997 + 0.871216i 0.999994 + 0.00346360i \(0.00110250\pi\)
−0.496997 + 0.867752i \(0.665564\pi\)
\(492\) −2.29503 + 1.12110i −0.103468 + 0.0505430i
\(493\) 0.117104i 0.00527409i
\(494\) −13.9050 + 4.17458i −0.625617 + 0.187823i
\(495\) −1.78198 + 12.7930i −0.0800939 + 0.575002i
\(496\) −7.45920 1.99869i −0.334928 0.0897437i
\(497\) −6.64493 + 3.83645i −0.298066 + 0.172088i
\(498\) 22.0895 4.30779i 0.989853 0.193037i
\(499\) 14.6355 14.6355i 0.655177 0.655177i −0.299058 0.954235i \(-0.596672\pi\)
0.954235 + 0.299058i \(0.0966724\pi\)
\(500\) −11.6792 + 3.12944i −0.522311 + 0.139953i
\(501\) 4.14094 + 2.78941i 0.185003 + 0.124622i
\(502\) 6.25410 + 6.25410i 0.279134 + 0.279134i
\(503\) 10.3067 + 5.95060i 0.459555 + 0.265324i 0.711857 0.702324i \(-0.247854\pi\)
−0.252302 + 0.967648i \(0.581188\pi\)
\(504\) 2.78017 1.12722i 0.123839 0.0502105i
\(505\) −2.82825 + 10.5552i −0.125855 + 0.469698i
\(506\) −15.0359 −0.668428
\(507\) 21.8037 5.62127i 0.968336 0.249649i
\(508\) −8.51905 −0.377972
\(509\) −0.804816 + 3.00361i −0.0356728 + 0.133133i −0.981466 0.191637i \(-0.938620\pi\)
0.945793 + 0.324770i \(0.105287\pi\)
\(510\) −2.32455 + 6.76443i −0.102933 + 0.299534i
\(511\) 7.30855 + 4.21960i 0.323311 + 0.186664i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 13.9716 15.5744i 0.616860 0.687627i
\(514\) −13.6196 + 3.64936i −0.600734 + 0.160966i
\(515\) 15.4297 15.4297i 0.679914 0.679914i
\(516\) 3.11308 + 15.9632i 0.137046 + 0.702742i
\(517\) 11.9357 6.89109i 0.524933 0.303070i
\(518\) −2.19992 0.589467i −0.0966589 0.0258997i
\(519\) −2.05133 + 1.78540i −0.0900435 + 0.0783704i
\(520\) −5.88167 + 1.76580i −0.257928 + 0.0774354i
\(521\) 18.4606i 0.808774i 0.914588 + 0.404387i \(0.132515\pi\)
−0.914588 + 0.404387i \(0.867485\pi\)
\(522\) −0.0564515 + 0.133445i −0.00247081 + 0.00584073i
\(523\) −4.75204 8.23078i −0.207792 0.359907i 0.743227 0.669040i \(-0.233294\pi\)
−0.951019 + 0.309133i \(0.899961\pi\)
\(524\) −10.3931 + 18.0013i −0.454024 + 0.786392i
\(525\) 0.251394 3.62699i 0.0109717 0.158295i
\(526\) 0.695149 + 2.59433i 0.0303099 + 0.113118i
\(527\) 4.84602 + 18.0856i 0.211096 + 0.787821i
\(528\) −0.302749 + 4.36792i −0.0131755 + 0.190089i
\(529\) −6.18965 + 10.7208i −0.269115 + 0.466122i
\(530\) −1.28381 2.22363i −0.0557652 0.0965882i
\(531\) 0.693299 1.63888i 0.0300866 0.0711215i
\(532\) 4.02661i 0.174576i
\(533\) 0.158742 + 5.31465i 0.00687590 + 0.230203i
\(534\) 19.6745 17.1239i 0.851400 0.741026i
\(535\) 27.7739 + 7.44199i 1.20077 + 0.321745i
\(536\) −5.70657 + 3.29469i −0.246486 + 0.142309i
\(537\) 8.82474 + 45.2515i 0.380816 + 1.95275i
\(538\) −17.2508 + 17.2508i −0.743736 + 0.743736i
\(539\) 2.44174 0.654262i 0.105173 0.0281810i
\(540\) 5.90982 6.58780i 0.254318 0.283494i
\(541\) −9.25800 9.25800i −0.398032 0.398032i 0.479506 0.877539i \(-0.340816\pi\)
−0.877539 + 0.479506i \(0.840816\pi\)
\(542\) −17.1420 9.89695i −0.736313 0.425110i
\(543\) 4.58978 13.3562i 0.196966 0.573171i
\(544\) −0.627533 + 2.34199i −0.0269053 + 0.100412i
\(545\) 11.9163 0.510440
\(546\) 0.245623 6.24017i 0.0105117 0.267054i
\(547\) 7.20907 0.308238 0.154119 0.988052i \(-0.450746\pi\)
0.154119 + 0.988052i \(0.450746\pi\)
\(548\) 0.292252 1.09070i 0.0124844 0.0465924i
\(549\) 24.1736 9.80118i 1.03170 0.418304i
\(550\) 4.59529 + 2.65309i 0.195944 + 0.113128i
\(551\) −0.137516 0.137516i −0.00585840 0.00585840i
\(552\) 8.54454 + 5.75576i 0.363680 + 0.244981i
\(553\) 6.68697 1.79177i 0.284359 0.0761938i
\(554\) −15.9334 + 15.9334i −0.676943 + 0.676943i
\(555\) −6.59458 + 1.28604i −0.279924 + 0.0545896i
\(556\) −7.50836 + 4.33495i −0.318425 + 0.183843i
\(557\) −32.3546 8.66938i −1.37091 0.367333i −0.503097 0.864230i \(-0.667806\pi\)
−0.867810 + 0.496896i \(0.834473\pi\)
\(558\) 3.19615 22.9455i 0.135304 0.971359i
\(559\) 32.9495 + 7.78235i 1.39362 + 0.329158i
\(560\) 1.70321i 0.0719738i
\(561\) 9.53865 4.65954i 0.402722 0.196726i
\(562\) 0.185682 + 0.321610i 0.00783252 + 0.0135663i
\(563\) 6.44159 11.1572i 0.271480 0.470218i −0.697761 0.716331i \(-0.745820\pi\)
0.969241 + 0.246113i \(0.0791534\pi\)
\(564\) −9.42069 0.652967i −0.396683 0.0274949i
\(565\) 1.01953 + 3.80495i 0.0428921 + 0.160076i
\(566\) −7.48968 27.9519i −0.314815 1.17490i
\(567\) 4.38254 + 7.86087i 0.184049 + 0.330126i
\(568\) −3.83645 + 6.64493i −0.160974 + 0.278815i
\(569\) −19.2164 33.2837i −0.805592 1.39533i −0.915891 0.401428i \(-0.868514\pi\)
0.110298 0.993899i \(-0.464819\pi\)
\(570\) 5.21381 + 10.6733i 0.218383 + 0.447056i
\(571\) 6.25069i 0.261583i −0.991410 0.130792i \(-0.958248\pi\)
0.991410 0.130792i \(-0.0417519\pi\)
\(572\) 8.02582 + 4.31950i 0.335576 + 0.180607i
\(573\) −11.4707 13.1792i −0.479194 0.550569i
\(574\) 1.42443 + 0.381675i 0.0594545 + 0.0159308i
\(575\) 10.8127 6.24269i 0.450919 0.260338i
\(576\) 1.84409 2.36629i 0.0768371 0.0985954i
\(577\) −14.0041 + 14.0041i −0.583000 + 0.583000i −0.935726 0.352726i \(-0.885255\pi\)
0.352726 + 0.935726i \(0.385255\pi\)
\(578\) −10.7423 + 2.87840i −0.446823 + 0.119726i
\(579\) −17.1038 + 25.3909i −0.710808 + 1.05521i
\(580\) −0.0581679 0.0581679i −0.00241529 0.00241529i
\(581\) −11.2528 6.49681i −0.466845 0.269533i
\(582\) −8.01480 2.75423i −0.332224 0.114167i
\(583\) −0.986311 + 3.68096i −0.0408488 + 0.152450i
\(584\) 8.43919 0.349216
\(585\) −7.42893 16.8588i −0.307149 0.697026i
\(586\) −29.5537 −1.22085
\(587\) 8.56624 31.9696i 0.353566 1.31953i −0.528712 0.848801i \(-0.677325\pi\)
0.882279 0.470727i \(-0.156008\pi\)
\(588\) −1.63803 0.562898i −0.0675513 0.0232135i
\(589\) 26.9289 + 15.5474i 1.10959 + 0.640620i
\(590\) 0.714380 + 0.714380i 0.0294106 + 0.0294106i
\(591\) −22.1020 + 32.8108i −0.909153 + 1.34966i
\(592\) −2.19992 + 0.589467i −0.0904162 + 0.0242269i
\(593\) 9.86033 9.86033i 0.404915 0.404915i −0.475046 0.879961i \(-0.657569\pi\)
0.879961 + 0.475046i \(0.157569\pi\)
\(594\) −13.1159 + 0.711521i −0.538153 + 0.0291940i
\(595\) 3.57635 2.06481i 0.146616 0.0846488i
\(596\) −12.7416 3.41409i −0.521915 0.139847i
\(597\) −18.8983 21.7131i −0.773455 0.888659i
\(598\) 18.2444 11.2727i 0.746067 0.460976i
\(599\) 34.3137i 1.40202i 0.713152 + 0.701009i \(0.247267\pi\)
−0.713152 + 0.701009i \(0.752733\pi\)
\(600\) −1.59578 3.26677i −0.0651476 0.133365i
\(601\) 6.93693 + 12.0151i 0.282963 + 0.490107i 0.972113 0.234512i \(-0.0753492\pi\)
−0.689150 + 0.724619i \(0.742016\pi\)
\(602\) 4.69500 8.13197i 0.191354 0.331435i
\(603\) −11.9161 15.7730i −0.485260 0.642325i
\(604\) −0.129505 0.483319i −0.00526948 0.0196660i
\(605\) −2.03214 7.58403i −0.0826181 0.308335i
\(606\) −11.0859 0.768388i −0.450335 0.0312136i
\(607\) −4.03666 + 6.99170i −0.163843 + 0.283784i −0.936244 0.351351i \(-0.885722\pi\)
0.772401 + 0.635135i \(0.219056\pi\)
\(608\) 2.01331 + 3.48715i 0.0816503 + 0.141422i
\(609\) 0.0751660 0.0367178i 0.00304588 0.00148788i
\(610\) 14.8094i 0.599615i
\(611\) −9.31625 + 17.3100i −0.376895 + 0.700288i
\(612\) −7.20425 1.00350i −0.291215 0.0405642i
\(613\) −9.28658 2.48833i −0.375081 0.100503i 0.0663532 0.997796i \(-0.478864\pi\)
−0.441435 + 0.897293i \(0.645530\pi\)
\(614\) −3.73140 + 2.15433i −0.150587 + 0.0869416i
\(615\) 4.26993 0.832703i 0.172180 0.0335778i
\(616\) 1.78748 1.78748i 0.0720194 0.0720194i
\(617\) 25.7063 6.88799i 1.03490 0.277300i 0.298901 0.954284i \(-0.403380\pi\)
0.735998 + 0.676984i \(0.236713\pi\)
\(618\) 18.4042 + 12.3974i 0.740327 + 0.498698i
\(619\) −23.2210 23.2210i −0.933331 0.933331i 0.0645819 0.997912i \(-0.479429\pi\)
−0.997912 + 0.0645819i \(0.979429\pi\)
\(620\) 11.3906 + 6.57638i 0.457459 + 0.264114i
\(621\) −13.9809 + 27.5640i −0.561034 + 1.10611i
\(622\) 6.62243 24.7152i 0.265535 0.990990i
\(623\) −15.0590 −0.603324
\(624\) −2.90737 5.52695i −0.116388 0.221255i
\(625\) 10.0986 0.403942
\(626\) −4.59673 + 17.1552i −0.183722 + 0.685660i
\(627\) 5.72961 16.6731i 0.228818 0.665860i
\(628\) −3.92806 2.26786i −0.156747 0.0904977i
\(629\) 3.90471 + 3.90471i 0.155691 + 0.155691i
\(630\) −5.07078 + 0.628914i −0.202025 + 0.0250565i
\(631\) −8.27351 + 2.21688i −0.329363 + 0.0882526i −0.419711 0.907658i \(-0.637869\pi\)
0.0903481 + 0.995910i \(0.471202\pi\)
\(632\) 4.89520 4.89520i 0.194721 0.194721i
\(633\) −8.93187 45.8009i −0.355010 1.82042i
\(634\) −0.150186 + 0.0867099i −0.00596465 + 0.00344369i
\(635\) 14.0153 + 3.75540i 0.556182 + 0.149028i
\(636\) 1.96957 1.71424i 0.0780986 0.0679740i
\(637\) −2.47226 + 2.62449i −0.0979544 + 0.103986i
\(638\) 0.122091i 0.00483365i
\(639\) −21.1998 8.96819i −0.838652 0.354776i
\(640\) 0.851606 + 1.47502i 0.0336627 + 0.0583055i
\(641\) −4.15434 + 7.19552i −0.164086 + 0.284206i −0.936330 0.351120i \(-0.885801\pi\)
0.772244 + 0.635326i \(0.219134\pi\)
\(642\) −2.02187 + 29.1705i −0.0797967 + 1.15127i
\(643\) 3.88101 + 14.4841i 0.153052 + 0.571198i 0.999264 + 0.0383522i \(0.0122109\pi\)
−0.846212 + 0.532846i \(0.821122\pi\)
\(644\) −1.53947 5.74538i −0.0606636 0.226400i
\(645\) 1.91541 27.6346i 0.0754193 1.08811i
\(646\) 4.88147 8.45495i 0.192059 0.332655i
\(647\) 17.4638 + 30.2482i 0.686572 + 1.18918i 0.972940 + 0.231058i \(0.0742188\pi\)
−0.286368 + 0.958120i \(0.592448\pi\)
\(648\) 7.72583 + 4.61645i 0.303499 + 0.181351i
\(649\) 1.49945i 0.0588584i
\(650\) −7.56493 + 0.225955i −0.296721 + 0.00886270i
\(651\) −10.0892 + 8.78127i −0.395428 + 0.344165i
\(652\) 14.2337 + 3.81390i 0.557433 + 0.149364i
\(653\) 13.3992 7.73602i 0.524350 0.302734i −0.214363 0.976754i \(-0.568767\pi\)
0.738713 + 0.674020i \(0.235434\pi\)
\(654\) 2.31952 + 11.8941i 0.0907006 + 0.465094i
\(655\) 25.0339 25.0339i 0.978154 0.978154i
\(656\) 1.42443 0.381675i 0.0556146 0.0149019i
\(657\) 3.11618 + 25.1251i 0.121574 + 0.980222i
\(658\) 3.85521 + 3.85521i 0.150292 + 0.150292i
\(659\) 22.0796 + 12.7477i 0.860101 + 0.496579i 0.864046 0.503413i \(-0.167922\pi\)
−0.00394522 + 0.999992i \(0.501256\pi\)
\(660\) 2.42356 7.05255i 0.0943370 0.274520i
\(661\) −9.89796 + 36.9397i −0.384986 + 1.43679i 0.453202 + 0.891408i \(0.350281\pi\)
−0.838189 + 0.545380i \(0.816385\pi\)
\(662\) −7.45081 −0.289584
\(663\) −8.08072 + 12.8051i −0.313829 + 0.497310i
\(664\) −12.9936 −0.504250
\(665\) 1.77503 6.62448i 0.0688325 0.256886i
\(666\) −2.56728 6.33192i −0.0994800 0.245357i
\(667\) 0.248791 + 0.143640i 0.00963324 + 0.00556175i
\(668\) −2.03831 2.03831i −0.0788645 0.0788645i
\(669\) −38.3448 25.8298i −1.48249 0.998636i
\(670\) 10.8407 2.90476i 0.418813 0.112221i
\(671\) 15.5421 15.5421i 0.599995 0.599995i
\(672\) −1.70003 + 0.331531i −0.0655799 + 0.0127891i
\(673\) 38.1799 22.0432i 1.47173 0.849703i 0.472233 0.881474i \(-0.343448\pi\)
0.999495 + 0.0317707i \(0.0101146\pi\)
\(674\) −19.1117 5.12096i −0.736155 0.197252i
\(675\) 9.13653 5.95721i 0.351665 0.229293i
\(676\) −12.9768 + 0.775897i −0.499109 + 0.0298422i
\(677\) 20.6704i 0.794430i −0.917726 0.397215i \(-0.869977\pi\)
0.917726 0.397215i \(-0.130023\pi\)
\(678\) −3.59938 + 1.75826i −0.138233 + 0.0675257i
\(679\) 2.44647 + 4.23741i 0.0938870 + 0.162617i
\(680\) 2.06481 3.57635i 0.0791817 0.137147i
\(681\) −16.2234 1.12448i −0.621683 0.0430900i
\(682\) −5.05242 18.8559i −0.193467 0.722030i
\(683\) −6.37367 23.7869i −0.243882 0.910179i −0.973942 0.226796i \(-0.927175\pi\)
0.730061 0.683382i \(-0.239492\pi\)
\(684\) −9.63848 + 7.28162i −0.368536 + 0.278420i
\(685\) −0.961613 + 1.66556i −0.0367413 + 0.0636378i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) 3.75815 + 7.69339i 0.143382 + 0.293521i
\(688\) 9.39000i 0.357990i
\(689\) −1.56292 5.20589i −0.0595423 0.198328i
\(690\) −11.5200 13.2359i −0.438559 0.503881i
\(691\) −5.76792 1.54551i −0.219422 0.0587939i 0.147433 0.989072i \(-0.452899\pi\)
−0.366855 + 0.930278i \(0.619566\pi\)
\(692\) 1.35974 0.785049i 0.0516897 0.0298431i
\(693\) 5.98168 + 4.66162i 0.227225 + 0.177080i
\(694\) −23.2977 + 23.2977i −0.884367 + 0.884367i
\(695\) 14.2635 3.82190i 0.541046 0.144973i
\(696\) 0.0467367 0.0693816i 0.00177155 0.00262990i
\(697\) −2.52827 2.52827i −0.0957649 0.0957649i
\(698\) 23.6169 + 13.6352i 0.893913 + 0.516101i
\(699\) −32.4781 11.1609i −1.22843 0.422143i
\(700\) −0.543279 + 2.02755i −0.0205340 + 0.0766340i
\(701\) 12.3400 0.466076 0.233038 0.972468i \(-0.425133\pi\)
0.233038 + 0.972468i \(0.425133\pi\)
\(702\) 15.3812 10.6966i 0.580527 0.403718i
\(703\) 9.17071 0.345880
\(704\) 0.654262 2.44174i 0.0246584 0.0920264i
\(705\) 15.2109 + 5.22711i 0.572874 + 0.196864i
\(706\) 8.75528 + 5.05486i 0.329509 + 0.190242i
\(707\) 4.53667 + 4.53667i 0.170619 + 0.170619i
\(708\) −0.573989 + 0.852098i −0.0215718 + 0.0320238i
\(709\) −0.159505 + 0.0427392i −0.00599032 + 0.00160510i −0.261813 0.965119i \(-0.584320\pi\)
0.255823 + 0.966724i \(0.417654\pi\)
\(710\) 9.24088 9.24088i 0.346804 0.346804i
\(711\) 16.3815 + 12.7664i 0.614354 + 0.478777i
\(712\) −13.0414 + 7.52948i −0.488749 + 0.282179i
\(713\) −44.3677 11.8883i −1.66158 0.445220i
\(714\) 2.75708 + 3.16774i 0.103181 + 0.118550i
\(715\) −11.2997 10.6443i −0.422587 0.398074i
\(716\) 26.6181i 0.994767i
\(717\) 16.0469 + 32.8500i 0.599282 + 1.22680i
\(718\) −5.35072 9.26772i −0.199687 0.345868i
\(719\) 12.2405 21.2012i 0.456494 0.790670i −0.542279 0.840198i \(-0.682438\pi\)
0.998773 + 0.0495281i \(0.0157717\pi\)
\(720\) −4.07697 + 3.08005i −0.151940 + 0.114787i
\(721\) −3.31589 12.3751i −0.123490 0.460872i
\(722\) 0.721175 + 2.69146i 0.0268394 + 0.100166i
\(723\) −48.4206 3.35612i −1.80078 0.124816i
\(724\) −4.07692 + 7.06142i −0.151517 + 0.262436i
\(725\) −0.0506905 0.0877986i −0.00188260 0.00326076i
\(726\) 7.17429 3.50457i 0.266263 0.130067i
\(727\) 33.7248i 1.25078i 0.780311 + 0.625392i \(0.215061\pi\)
−0.780311 + 0.625392i \(0.784939\pi\)
\(728\) −0.828792 + 3.50900i −0.0307171 + 0.130052i
\(729\) −10.8913 + 24.7059i −0.403380 + 0.915033i
\(730\) −13.8840 3.72020i −0.513868 0.137691i
\(731\) −19.7168 + 11.3835i −0.729253 + 0.421034i
\(732\) −14.7817 + 2.88266i −0.546347 + 0.106546i
\(733\) 9.75491 9.75491i 0.360306 0.360306i −0.503620 0.863925i \(-0.667999\pi\)
0.863925 + 0.503620i \(0.167999\pi\)
\(734\) 25.2965 6.77818i 0.933712 0.250187i
\(735\) 2.44671 + 1.64815i 0.0902483 + 0.0607929i
\(736\) −4.20591 4.20591i −0.155032 0.155032i
\(737\) −14.4255 8.32856i −0.531370 0.306787i
\(738\) 1.66229 + 4.09986i 0.0611897 + 0.150918i
\(739\) 5.42588 20.2496i 0.199594 0.744895i −0.791436 0.611253i \(-0.790666\pi\)
0.991030 0.133643i \(-0.0426674\pi\)
\(740\) 3.87911 0.142599
\(741\) 5.54794 + 24.5265i 0.203809 + 0.901004i
\(742\) −1.50752 −0.0553427
\(743\) −12.5950 + 47.0052i −0.462066 + 1.72445i 0.204371 + 0.978893i \(0.434485\pi\)
−0.666437 + 0.745561i \(0.732182\pi\)
\(744\) −4.34689 + 12.6494i −0.159365 + 0.463750i
\(745\) 19.4571 + 11.2336i 0.712853 + 0.411566i
\(746\) −20.4279 20.4279i −0.747920 0.747920i
\(747\) −4.79791 38.6844i −0.175546 1.41539i
\(748\) −5.92024 + 1.58632i −0.216466 + 0.0580018i
\(749\) 11.9374 11.9374i 0.436183 0.436183i
\(750\) 4.00862 + 20.5554i 0.146374 + 0.750576i
\(751\) 23.8490 13.7692i 0.870263 0.502446i 0.00282713 0.999996i \(-0.499100\pi\)
0.867436 + 0.497550i \(0.165767\pi\)
\(752\) 5.26631 + 1.41110i 0.192043 + 0.0514577i
\(753\) 11.5555 10.0575i 0.421106 0.366515i
\(754\) −0.0915344 0.148144i −0.00333348 0.00539509i
\(755\) 0.852234i 0.0310160i
\(756\) −1.61477 4.93888i −0.0587285 0.179625i
\(757\) 0.593994 + 1.02883i 0.0215891 + 0.0373934i 0.876618 0.481187i \(-0.159794\pi\)
−0.855029 + 0.518580i \(0.826461\pi\)
\(758\) 10.8199 18.7406i 0.392996 0.680688i
\(759\) −1.80077 + 25.9806i −0.0653638 + 0.943037i
\(760\) −1.77503 6.62448i −0.0643869 0.240295i
\(761\) −1.90620 7.11402i −0.0690996 0.257883i 0.922731 0.385444i \(-0.125952\pi\)
−0.991831 + 0.127561i \(0.959285\pi\)
\(762\) −1.02028 + 14.7201i −0.0369609 + 0.533253i
\(763\) 3.49820 6.05906i 0.126643 0.219353i
\(764\) 5.04370 + 8.73595i 0.182475 + 0.316055i
\(765\) 11.4099 + 4.82675i 0.412526 + 0.174511i
\(766\) 15.2323i 0.550365i
\(767\) 1.12416 + 1.81941i 0.0405912 + 0.0656950i
\(768\) −1.30650 + 1.13713i −0.0471443 + 0.0410325i
\(769\) −52.8430 14.1592i −1.90557 0.510595i −0.995333 0.0964985i \(-0.969236\pi\)
−0.910233 0.414096i \(-0.864098\pi\)
\(770\) −3.72867 + 2.15275i −0.134372 + 0.0775798i
\(771\) 4.67460 + 23.9704i 0.168352 + 0.863274i
\(772\) 12.4982 12.4982i 0.449821 0.449821i
\(773\) 13.6195 3.64932i 0.489858 0.131257i −0.00543129 0.999985i \(-0.501729\pi\)
0.495289 + 0.868728i \(0.335062\pi\)
\(774\)