Properties

Label 546.2.cg.b.241.5
Level $546$
Weight $2$
Character 546.241
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 241.5
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(3.50534 + 0.939253i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-2.61012 + 0.432735i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(3.50534 + 0.939253i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-2.61012 + 0.432735i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.81450 - 3.14280i) q^{10} +(2.71110 + 0.726436i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(3.16979 + 1.71826i) q^{13} +(2.15163 + 1.53965i) q^{14} +(-3.50534 + 0.939253i) q^{15} -1.00000 q^{16} -3.97221 q^{17} +(-0.965926 + 0.258819i) q^{18} +(-0.453168 - 1.69124i) q^{19} +(-0.939253 + 3.50534i) q^{20} +(2.04406 - 1.67982i) q^{21} +(-1.40337 - 2.43070i) q^{22} +2.78426i q^{23} +(-0.258819 + 0.965926i) q^{24} +(7.07509 + 4.08481i) q^{25} +(-1.02639 - 3.45638i) q^{26} +1.00000i q^{27} +(-0.432735 - 2.61012i) q^{28} +(-2.41978 + 4.19119i) q^{29} +(3.14280 + 1.81450i) q^{30} +(2.48276 + 9.26580i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-2.71110 + 0.726436i) q^{33} +(2.80878 + 2.80878i) q^{34} +(-9.55582 - 0.934682i) q^{35} +(0.866025 + 0.500000i) q^{36} +(8.22157 - 8.22157i) q^{37} +(-0.875453 + 1.51633i) q^{38} +(-3.60425 + 0.0968376i) q^{39} +(3.14280 - 1.81450i) q^{40} +(2.09174 + 7.80648i) q^{41} +(-2.63318 - 0.257559i) q^{42} +(-1.95431 + 1.12832i) q^{43} +(-0.726436 + 2.71110i) q^{44} +(2.56609 - 2.56609i) q^{45} +(1.96877 - 1.96877i) q^{46} +(0.538208 - 2.00862i) q^{47} +(0.866025 - 0.500000i) q^{48} +(6.62548 - 2.25898i) q^{49} +(-2.11445 - 7.89124i) q^{50} +(3.44004 - 1.98611i) q^{51} +(-1.71826 + 3.16979i) q^{52} +(2.21480 - 3.83615i) q^{53} +(0.707107 - 0.707107i) q^{54} +(8.82101 + 5.09281i) q^{55} +(-1.53965 + 2.15163i) q^{56} +(1.23808 + 1.23808i) q^{57} +(4.67466 - 1.25257i) q^{58} +(-3.86176 - 3.86176i) q^{59} +(-0.939253 - 3.50534i) q^{60} +(11.8607 + 6.84779i) q^{61} +(4.79633 - 8.30749i) q^{62} +(-0.930302 + 2.47680i) q^{63} -1.00000i q^{64} +(9.49732 + 9.00033i) q^{65} +(2.43070 + 1.40337i) q^{66} +(0.946174 - 3.53117i) q^{67} -3.97221i q^{68} +(-1.39213 - 2.41124i) q^{69} +(6.09606 + 7.41790i) q^{70} +(-1.90908 + 7.12477i) q^{71} +(-0.258819 - 0.965926i) q^{72} +(5.26598 - 1.41102i) q^{73} -11.6271 q^{74} -8.16961 q^{75} +(1.69124 - 0.453168i) q^{76} +(-7.39065 - 0.722900i) q^{77} +(2.61706 + 2.48012i) q^{78} +(-2.35907 - 4.08603i) q^{79} +(-3.50534 - 0.939253i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(4.04093 - 6.99909i) q^{82} +(-4.55850 + 4.55850i) q^{83} +(1.67982 + 2.04406i) q^{84} +(-13.9240 - 3.73092i) q^{85} +(2.17975 + 0.584061i) q^{86} -4.83957i q^{87} +(2.43070 - 1.40337i) q^{88} +(2.30159 + 2.30159i) q^{89} -3.62900 q^{90} +(-9.01710 - 3.11319i) q^{91} -2.78426 q^{92} +(-6.78304 - 6.78304i) q^{93} +(-1.80088 + 1.03974i) q^{94} -6.35403i q^{95} +(-0.965926 - 0.258819i) q^{96} +(-14.9544 - 4.00703i) q^{97} +(-6.28227 - 3.08758i) q^{98} +(1.98466 - 1.98466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) 3.50534 + 0.939253i 1.56764 + 0.420047i 0.935071 0.354460i \(-0.115335\pi\)
0.632565 + 0.774507i \(0.282002\pi\)
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) −2.61012 + 0.432735i −0.986534 + 0.163559i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −1.81450 3.14280i −0.573795 0.993842i
\(11\) 2.71110 + 0.726436i 0.817426 + 0.219029i 0.643221 0.765681i \(-0.277598\pi\)
0.174205 + 0.984709i \(0.444264\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 3.16979 + 1.71826i 0.879142 + 0.476560i
\(14\) 2.15163 + 1.53965i 0.575046 + 0.411488i
\(15\) −3.50534 + 0.939253i −0.905075 + 0.242514i
\(16\) −1.00000 −0.250000
\(17\) −3.97221 −0.963404 −0.481702 0.876335i \(-0.659981\pi\)
−0.481702 + 0.876335i \(0.659981\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) −0.453168 1.69124i −0.103964 0.387998i 0.894262 0.447544i \(-0.147701\pi\)
−0.998226 + 0.0595461i \(0.981035\pi\)
\(20\) −0.939253 + 3.50534i −0.210023 + 0.783818i
\(21\) 2.04406 1.67982i 0.446052 0.366567i
\(22\) −1.40337 2.43070i −0.299199 0.518227i
\(23\) 2.78426i 0.580559i 0.956942 + 0.290280i \(0.0937483\pi\)
−0.956942 + 0.290280i \(0.906252\pi\)
\(24\) −0.258819 + 0.965926i −0.0528312 + 0.197169i
\(25\) 7.07509 + 4.08481i 1.41502 + 0.816961i
\(26\) −1.02639 3.45638i −0.201291 0.677851i
\(27\) 1.00000i 0.192450i
\(28\) −0.432735 2.61012i −0.0817793 0.493267i
\(29\) −2.41978 + 4.19119i −0.449343 + 0.778284i −0.998343 0.0575376i \(-0.981675\pi\)
0.549001 + 0.835822i \(0.315008\pi\)
\(30\) 3.14280 + 1.81450i 0.573795 + 0.331281i
\(31\) 2.48276 + 9.26580i 0.445918 + 1.66419i 0.713502 + 0.700653i \(0.247108\pi\)
−0.267584 + 0.963534i \(0.586225\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −2.71110 + 0.726436i −0.471941 + 0.126456i
\(34\) 2.80878 + 2.80878i 0.481702 + 0.481702i
\(35\) −9.55582 0.934682i −1.61523 0.157990i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 8.22157 8.22157i 1.35162 1.35162i 0.467767 0.883852i \(-0.345059\pi\)
0.883852 0.467767i \(-0.154941\pi\)
\(38\) −0.875453 + 1.51633i −0.142017 + 0.245981i
\(39\) −3.60425 + 0.0968376i −0.577142 + 0.0155064i
\(40\) 3.14280 1.81450i 0.496921 0.286897i
\(41\) 2.09174 + 7.80648i 0.326675 + 1.21917i 0.912618 + 0.408814i \(0.134058\pi\)
−0.585943 + 0.810352i \(0.699276\pi\)
\(42\) −2.63318 0.257559i −0.406309 0.0397423i
\(43\) −1.95431 + 1.12832i −0.298029 + 0.172067i −0.641557 0.767075i \(-0.721711\pi\)
0.343528 + 0.939142i \(0.388378\pi\)
\(44\) −0.726436 + 2.71110i −0.109514 + 0.408713i
\(45\) 2.56609 2.56609i 0.382530 0.382530i
\(46\) 1.96877 1.96877i 0.290280 0.290280i
\(47\) 0.538208 2.00862i 0.0785056 0.292987i −0.915500 0.402319i \(-0.868204\pi\)
0.994005 + 0.109332i \(0.0348711\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) 6.62548 2.25898i 0.946497 0.322712i
\(50\) −2.11445 7.89124i −0.299029 1.11599i
\(51\) 3.44004 1.98611i 0.481702 0.278111i
\(52\) −1.71826 + 3.16979i −0.238280 + 0.439571i
\(53\) 2.21480 3.83615i 0.304227 0.526936i −0.672862 0.739768i \(-0.734935\pi\)
0.977089 + 0.212832i \(0.0682687\pi\)
\(54\) 0.707107 0.707107i 0.0962250 0.0962250i
\(55\) 8.82101 + 5.09281i 1.18942 + 0.686715i
\(56\) −1.53965 + 2.15163i −0.205744 + 0.287523i
\(57\) 1.23808 + 1.23808i 0.163987 + 0.163987i
\(58\) 4.67466 1.25257i 0.613813 0.164471i
\(59\) −3.86176 3.86176i −0.502758 0.502758i 0.409536 0.912294i \(-0.365691\pi\)
−0.912294 + 0.409536i \(0.865691\pi\)
\(60\) −0.939253 3.50534i −0.121257 0.452538i
\(61\) 11.8607 + 6.84779i 1.51861 + 0.876769i 0.999760 + 0.0219037i \(0.00697272\pi\)
0.518849 + 0.854866i \(0.326361\pi\)
\(62\) 4.79633 8.30749i 0.609135 1.05505i
\(63\) −0.930302 + 2.47680i −0.117207 + 0.312047i
\(64\) 1.00000i 0.125000i
\(65\) 9.49732 + 9.00033i 1.17800 + 1.11635i
\(66\) 2.43070 + 1.40337i 0.299199 + 0.172742i
\(67\) 0.946174 3.53117i 0.115594 0.431401i −0.883737 0.467984i \(-0.844981\pi\)
0.999331 + 0.0365826i \(0.0116472\pi\)
\(68\) 3.97221i 0.481702i
\(69\) −1.39213 2.41124i −0.167593 0.290280i
\(70\) 6.09606 + 7.41790i 0.728619 + 0.886609i
\(71\) −1.90908 + 7.12477i −0.226566 + 0.845554i 0.755206 + 0.655488i \(0.227537\pi\)
−0.981771 + 0.190066i \(0.939130\pi\)
\(72\) −0.258819 0.965926i −0.0305021 0.113835i
\(73\) 5.26598 1.41102i 0.616337 0.165147i 0.0628749 0.998021i \(-0.479973\pi\)
0.553462 + 0.832874i \(0.313306\pi\)
\(74\) −11.6271 −1.35162
\(75\) −8.16961 −0.943346
\(76\) 1.69124 0.453168i 0.193999 0.0519819i
\(77\) −7.39065 0.722900i −0.842243 0.0823821i
\(78\) 2.61706 + 2.48012i 0.296324 + 0.280818i
\(79\) −2.35907 4.08603i −0.265416 0.459714i 0.702257 0.711924i \(-0.252176\pi\)
−0.967673 + 0.252210i \(0.918843\pi\)
\(80\) −3.50534 0.939253i −0.391909 0.105012i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 4.04093 6.99909i 0.446246 0.772921i
\(83\) −4.55850 + 4.55850i −0.500361 + 0.500361i −0.911550 0.411189i \(-0.865114\pi\)
0.411189 + 0.911550i \(0.365114\pi\)
\(84\) 1.67982 + 2.04406i 0.183283 + 0.223026i
\(85\) −13.9240 3.73092i −1.51027 0.404675i
\(86\) 2.17975 + 0.584061i 0.235048 + 0.0629810i
\(87\) 4.83957i 0.518856i
\(88\) 2.43070 1.40337i 0.259114 0.149599i
\(89\) 2.30159 + 2.30159i 0.243968 + 0.243968i 0.818490 0.574521i \(-0.194812\pi\)
−0.574521 + 0.818490i \(0.694812\pi\)
\(90\) −3.62900 −0.382530
\(91\) −9.01710 3.11319i −0.945249 0.326351i
\(92\) −2.78426 −0.290280
\(93\) −6.78304 6.78304i −0.703368 0.703368i
\(94\) −1.80088 + 1.03974i −0.185746 + 0.107241i
\(95\) 6.35403i 0.651910i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) −14.9544 4.00703i −1.51839 0.406852i −0.599181 0.800614i \(-0.704507\pi\)
−0.919213 + 0.393762i \(0.871174\pi\)
\(98\) −6.28227 3.08758i −0.634605 0.311893i
\(99\) 1.98466 1.98466i 0.199466 0.199466i
\(100\) −4.08481 + 7.07509i −0.408481 + 0.707509i
\(101\) −5.16908 8.95311i −0.514343 0.890867i −0.999862 0.0166412i \(-0.994703\pi\)
0.485519 0.874226i \(-0.338631\pi\)
\(102\) −3.83686 1.02808i −0.379906 0.101796i
\(103\) −2.54798 4.41323i −0.251060 0.434849i 0.712758 0.701410i \(-0.247446\pi\)
−0.963818 + 0.266561i \(0.914112\pi\)
\(104\) 3.45638 1.02639i 0.338925 0.100645i
\(105\) 8.74292 3.96845i 0.853222 0.387281i
\(106\) −4.27867 + 1.14647i −0.415581 + 0.111355i
\(107\) −16.6319 −1.60786 −0.803932 0.594721i \(-0.797262\pi\)
−0.803932 + 0.594721i \(0.797262\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 0.625393 0.167574i 0.0599018 0.0160506i −0.228744 0.973487i \(-0.573462\pi\)
0.288645 + 0.957436i \(0.406795\pi\)
\(110\) −2.63623 9.83856i −0.251355 0.938070i
\(111\) −3.00931 + 11.2309i −0.285631 + 1.06599i
\(112\) 2.61012 0.432735i 0.246633 0.0408896i
\(113\) 1.11284 + 1.92750i 0.104687 + 0.181324i 0.913610 0.406591i \(-0.133283\pi\)
−0.808923 + 0.587914i \(0.799949\pi\)
\(114\) 1.75091i 0.163987i
\(115\) −2.61513 + 9.75979i −0.243862 + 0.910105i
\(116\) −4.19119 2.41978i −0.389142 0.224671i
\(117\) 3.07295 1.88599i 0.284095 0.174360i
\(118\) 5.46135i 0.502758i
\(119\) 10.3680 1.71892i 0.950430 0.157573i
\(120\) −1.81450 + 3.14280i −0.165640 + 0.286897i
\(121\) −2.70395 1.56112i −0.245813 0.141920i
\(122\) −3.54468 13.2289i −0.320920 1.19769i
\(123\) −5.71474 5.71474i −0.515280 0.515280i
\(124\) −9.26580 + 2.48276i −0.832094 + 0.222959i
\(125\) 8.13351 + 8.13351i 0.727483 + 0.727483i
\(126\) 2.40918 1.09354i 0.214627 0.0974202i
\(127\) −4.06795 2.34863i −0.360972 0.208408i 0.308535 0.951213i \(-0.400161\pi\)
−0.669507 + 0.742805i \(0.733495\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 1.12832 1.95431i 0.0993430 0.172067i
\(130\) −0.351423 13.0798i −0.0308219 1.14718i
\(131\) 12.6996 7.33214i 1.10957 0.640612i 0.170854 0.985296i \(-0.445347\pi\)
0.938719 + 0.344684i \(0.112014\pi\)
\(132\) −0.726436 2.71110i −0.0632281 0.235971i
\(133\) 1.91468 + 4.21825i 0.166024 + 0.365769i
\(134\) −3.16596 + 1.82787i −0.273497 + 0.157904i
\(135\) −0.939253 + 3.50534i −0.0808381 + 0.301692i
\(136\) −2.80878 + 2.80878i −0.240851 + 0.240851i
\(137\) −1.16921 + 1.16921i −0.0998921 + 0.0998921i −0.755287 0.655395i \(-0.772502\pi\)
0.655395 + 0.755287i \(0.272502\pi\)
\(138\) −0.720620 + 2.68939i −0.0613433 + 0.228936i
\(139\) 7.64204 4.41213i 0.648189 0.374232i −0.139573 0.990212i \(-0.544573\pi\)
0.787762 + 0.615980i \(0.211240\pi\)
\(140\) 0.934682 9.55582i 0.0789950 0.807614i
\(141\) 0.538208 + 2.00862i 0.0453253 + 0.169156i
\(142\) 6.38789 3.68805i 0.536060 0.309494i
\(143\) 7.34540 + 6.96102i 0.614253 + 0.582110i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −12.4188 + 12.4188i −1.03132 + 1.03132i
\(146\) −4.72135 2.72587i −0.390742 0.225595i
\(147\) −4.60834 + 5.26908i −0.380090 + 0.434586i
\(148\) 8.22157 + 8.22157i 0.675809 + 0.675809i
\(149\) −16.0270 + 4.29442i −1.31298 + 0.351813i −0.846345 0.532635i \(-0.821202\pi\)
−0.466639 + 0.884448i \(0.654535\pi\)
\(150\) 5.77679 + 5.77679i 0.471673 + 0.471673i
\(151\) −2.86129 10.6785i −0.232848 0.869002i −0.979107 0.203346i \(-0.934818\pi\)
0.746258 0.665656i \(-0.231848\pi\)
\(152\) −1.51633 0.875453i −0.122990 0.0710086i
\(153\) −1.98611 + 3.44004i −0.160567 + 0.278111i
\(154\) 4.71481 + 5.73715i 0.379930 + 0.462312i
\(155\) 34.8117i 2.79615i
\(156\) −0.0968376 3.60425i −0.00775321 0.288571i
\(157\) −8.31074 4.79821i −0.663270 0.382939i 0.130252 0.991481i \(-0.458421\pi\)
−0.793522 + 0.608542i \(0.791755\pi\)
\(158\) −1.22114 + 4.55737i −0.0971490 + 0.362565i
\(159\) 4.42961i 0.351291i
\(160\) 1.81450 + 3.14280i 0.143449 + 0.248460i
\(161\) −1.20485 7.26727i −0.0949554 0.572741i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) −5.12217 19.1162i −0.401199 1.49730i −0.810959 0.585103i \(-0.801054\pi\)
0.409760 0.912193i \(-0.365612\pi\)
\(164\) −7.80648 + 2.09174i −0.609583 + 0.163337i
\(165\) −10.1856 −0.792950
\(166\) 6.44670 0.500361
\(167\) 9.79382 2.62425i 0.757868 0.203070i 0.140863 0.990029i \(-0.455012\pi\)
0.617005 + 0.786959i \(0.288346\pi\)
\(168\) 0.257559 2.63318i 0.0198711 0.203155i
\(169\) 7.09515 + 10.8931i 0.545781 + 0.837928i
\(170\) 7.20758 + 12.4839i 0.552796 + 0.957470i
\(171\) −1.69124 0.453168i −0.129333 0.0346546i
\(172\) −1.12832 1.95431i −0.0860336 0.149015i
\(173\) 8.57930 14.8598i 0.652272 1.12977i −0.330298 0.943877i \(-0.607149\pi\)
0.982570 0.185892i \(-0.0595175\pi\)
\(174\) −3.42209 + 3.42209i −0.259428 + 0.259428i
\(175\) −20.2345 7.60020i −1.52958 0.574521i
\(176\) −2.71110 0.726436i −0.204357 0.0547572i
\(177\) 5.27526 + 1.41350i 0.396513 + 0.106245i
\(178\) 3.25494i 0.243968i
\(179\) 13.0413 7.52942i 0.974755 0.562775i 0.0740725 0.997253i \(-0.476400\pi\)
0.900683 + 0.434478i \(0.143067\pi\)
\(180\) 2.56609 + 2.56609i 0.191265 + 0.191265i
\(181\) 24.4184 1.81501 0.907504 0.420043i \(-0.137985\pi\)
0.907504 + 0.420043i \(0.137985\pi\)
\(182\) 4.17469 + 8.57741i 0.309449 + 0.635800i
\(183\) −13.6956 −1.01241
\(184\) 1.96877 + 1.96877i 0.145140 + 0.145140i
\(185\) 36.5416 21.0973i 2.68659 1.55110i
\(186\) 9.59267i 0.703368i
\(187\) −10.7691 2.88556i −0.787511 0.211013i
\(188\) 2.00862 + 0.538208i 0.146494 + 0.0392528i
\(189\) −0.432735 2.61012i −0.0314769 0.189858i
\(190\) −4.49298 + 4.49298i −0.325955 + 0.325955i
\(191\) 1.95344 3.38346i 0.141346 0.244819i −0.786658 0.617389i \(-0.788190\pi\)
0.928004 + 0.372571i \(0.121524\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −17.0092 4.55759i −1.22435 0.328063i −0.411971 0.911197i \(-0.635160\pi\)
−0.812376 + 0.583134i \(0.801826\pi\)
\(194\) 7.74099 + 13.4078i 0.555771 + 0.962623i
\(195\) −12.7251 3.04586i −0.911262 0.218118i
\(196\) 2.25898 + 6.62548i 0.161356 + 0.473249i
\(197\) −15.6894 + 4.20397i −1.11783 + 0.299521i −0.770004 0.638040i \(-0.779746\pi\)
−0.347823 + 0.937560i \(0.613079\pi\)
\(198\) −2.80673 −0.199466
\(199\) 24.9179 1.76638 0.883191 0.469013i \(-0.155390\pi\)
0.883191 + 0.469013i \(0.155390\pi\)
\(200\) 7.89124 2.11445i 0.557995 0.149514i
\(201\) 0.946174 + 3.53117i 0.0667380 + 0.249070i
\(202\) −2.67571 + 9.98589i −0.188262 + 0.702605i
\(203\) 4.50226 11.9866i 0.315997 0.841297i
\(204\) 1.98611 + 3.44004i 0.139055 + 0.240851i
\(205\) 29.3290i 2.04843i
\(206\) −1.31893 + 4.92232i −0.0918943 + 0.342954i
\(207\) 2.41124 + 1.39213i 0.167593 + 0.0967598i
\(208\) −3.16979 1.71826i −0.219785 0.119140i
\(209\) 4.91432i 0.339931i
\(210\) −8.98830 3.37606i −0.620251 0.232970i
\(211\) 12.5816 21.7919i 0.866150 1.50022i 0.000250090 1.00000i \(-0.499920\pi\)
0.865900 0.500217i \(-0.166746\pi\)
\(212\) 3.83615 + 2.21480i 0.263468 + 0.152113i
\(213\) −1.90908 7.12477i −0.130808 0.488181i
\(214\) 11.7605 + 11.7605i 0.803932 + 0.803932i
\(215\) −7.91029 + 2.11956i −0.539477 + 0.144553i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) −10.4900 23.1105i −0.712105 1.56884i
\(218\) −0.560712 0.323727i −0.0379762 0.0219256i
\(219\) −3.85497 + 3.85497i −0.260495 + 0.260495i
\(220\) −5.09281 + 8.82101i −0.343357 + 0.594712i
\(221\) −12.5911 6.82530i −0.846969 0.459120i
\(222\) 10.0693 5.81353i 0.675809 0.390179i
\(223\) 4.49900 + 16.7905i 0.301275 + 1.12437i 0.936104 + 0.351722i \(0.114404\pi\)
−0.634829 + 0.772652i \(0.718930\pi\)
\(224\) −2.15163 1.53965i −0.143762 0.102872i
\(225\) 7.07509 4.08481i 0.471673 0.272320i
\(226\) 0.576049 2.14984i 0.0383182 0.143005i
\(227\) 14.9238 14.9238i 0.990527 0.990527i −0.00942861 0.999956i \(-0.503001\pi\)
0.999956 + 0.00942861i \(0.00300127\pi\)
\(228\) −1.23808 + 1.23808i −0.0819937 + 0.0819937i
\(229\) 2.69746 10.0670i 0.178253 0.665249i −0.817722 0.575614i \(-0.804763\pi\)
0.995975 0.0896351i \(-0.0285701\pi\)
\(230\) 8.75039 5.05204i 0.576984 0.333122i
\(231\) 6.76194 3.06927i 0.444903 0.201943i
\(232\) 1.25257 + 4.67466i 0.0822354 + 0.306907i
\(233\) −18.3850 + 10.6146i −1.20444 + 0.695386i −0.961540 0.274665i \(-0.911433\pi\)
−0.242903 + 0.970051i \(0.578100\pi\)
\(234\) −3.50650 0.839311i −0.229227 0.0548675i
\(235\) 3.77320 6.53538i 0.246137 0.426321i
\(236\) 3.86176 3.86176i 0.251379 0.251379i
\(237\) 4.08603 + 2.35907i 0.265416 + 0.153238i
\(238\) −8.54672 6.11580i −0.554001 0.396429i
\(239\) −13.2336 13.2336i −0.856011 0.856011i 0.134855 0.990865i \(-0.456943\pi\)
−0.990865 + 0.134855i \(0.956943\pi\)
\(240\) 3.50534 0.939253i 0.226269 0.0606285i
\(241\) −12.6744 12.6744i −0.816428 0.816428i 0.169160 0.985589i \(-0.445894\pi\)
−0.985589 + 0.169160i \(0.945894\pi\)
\(242\) 0.808097 + 3.01586i 0.0519465 + 0.193867i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −6.84779 + 11.8607i −0.438385 + 0.759305i
\(245\) 25.3463 1.69550i 1.61932 0.108322i
\(246\) 8.08186i 0.515280i
\(247\) 1.46955 6.13955i 0.0935055 0.390650i
\(248\) 8.30749 + 4.79633i 0.527526 + 0.304567i
\(249\) 1.66853 6.22703i 0.105739 0.394622i
\(250\) 11.5025i 0.727483i
\(251\) 2.34493 + 4.06154i 0.148011 + 0.256362i 0.930492 0.366312i \(-0.119380\pi\)
−0.782481 + 0.622674i \(0.786046\pi\)
\(252\) −2.47680 0.930302i −0.156024 0.0586035i
\(253\) −2.02259 + 7.54841i −0.127159 + 0.474564i
\(254\) 1.21574 + 4.53721i 0.0762825 + 0.284690i
\(255\) 13.9240 3.73092i 0.871953 0.233639i
\(256\) 1.00000 0.0625000
\(257\) −10.5145 −0.655879 −0.327939 0.944699i \(-0.606354\pi\)
−0.327939 + 0.944699i \(0.606354\pi\)
\(258\) −2.17975 + 0.584061i −0.135705 + 0.0363621i
\(259\) −17.9016 + 25.0171i −1.11235 + 1.55449i
\(260\) −9.00033 + 9.49732i −0.558177 + 0.588999i
\(261\) 2.41978 + 4.19119i 0.149781 + 0.259428i
\(262\) −14.1646 3.79540i −0.875093 0.234480i
\(263\) −2.50881 4.34538i −0.154700 0.267947i 0.778250 0.627955i \(-0.216108\pi\)
−0.932950 + 0.360007i \(0.882774\pi\)
\(264\) −1.40337 + 2.43070i −0.0863712 + 0.149599i
\(265\) 11.3668 11.3668i 0.698254 0.698254i
\(266\) 1.62887 4.33664i 0.0998724 0.265897i
\(267\) −3.14403 0.842441i −0.192412 0.0515566i
\(268\) 3.53117 + 0.946174i 0.215701 + 0.0577968i
\(269\) 8.02846i 0.489504i 0.969586 + 0.244752i \(0.0787065\pi\)
−0.969586 + 0.244752i \(0.921294\pi\)
\(270\) 3.14280 1.81450i 0.191265 0.110427i
\(271\) −13.6664 13.6664i −0.830176 0.830176i 0.157364 0.987541i \(-0.449700\pi\)
−0.987541 + 0.157364i \(0.949700\pi\)
\(272\) 3.97221 0.240851
\(273\) 9.36563 1.81244i 0.566834 0.109694i
\(274\) 1.65351 0.0998921
\(275\) 16.2139 + 16.2139i 0.977735 + 0.977735i
\(276\) 2.41124 1.39213i 0.145140 0.0837965i
\(277\) 19.0309i 1.14346i 0.820443 + 0.571728i \(0.193727\pi\)
−0.820443 + 0.571728i \(0.806273\pi\)
\(278\) −8.52358 2.28389i −0.511211 0.136978i
\(279\) 9.26580 + 2.48276i 0.554729 + 0.148639i
\(280\) −7.41790 + 6.09606i −0.443305 + 0.364310i
\(281\) 6.31850 6.31850i 0.376930 0.376930i −0.493063 0.869993i \(-0.664123\pi\)
0.869993 + 0.493063i \(0.164123\pi\)
\(282\) 1.03974 1.80088i 0.0619154 0.107241i
\(283\) 14.3592 + 24.8709i 0.853566 + 1.47842i 0.877969 + 0.478717i \(0.158898\pi\)
−0.0244037 + 0.999702i \(0.507769\pi\)
\(284\) −7.12477 1.90908i −0.422777 0.113283i
\(285\) 3.17701 + 5.50275i 0.188190 + 0.325955i
\(286\) −0.271797 10.1162i −0.0160717 0.598182i
\(287\) −8.83783 19.4707i −0.521681 1.14932i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) −1.22151 −0.0718535
\(290\) 17.5628 1.03132
\(291\) 14.9544 4.00703i 0.876645 0.234896i
\(292\) 1.41102 + 5.26598i 0.0825735 + 0.308168i
\(293\) −5.51855 + 20.5955i −0.322397 + 1.20320i 0.594505 + 0.804092i \(0.297348\pi\)
−0.916903 + 0.399111i \(0.869319\pi\)
\(294\) 6.98439 0.467210i 0.407338 0.0272483i
\(295\) −9.90962 17.1640i −0.576960 0.999324i
\(296\) 11.6271i 0.675809i
\(297\) −0.726436 + 2.71110i −0.0421521 + 0.157314i
\(298\) 14.3694 + 8.29619i 0.832398 + 0.480585i
\(299\) −4.78409 + 8.82553i −0.276671 + 0.510394i
\(300\) 8.16961i 0.471673i
\(301\) 4.61272 3.79075i 0.265873 0.218495i
\(302\) −5.52759 + 9.57406i −0.318077 + 0.550925i
\(303\) 8.95311 + 5.16908i 0.514343 + 0.296956i
\(304\) 0.453168 + 1.69124i 0.0259909 + 0.0969995i
\(305\) 35.1441 + 35.1441i 2.01234 + 2.01234i
\(306\) 3.83686 1.02808i 0.219339 0.0587717i
\(307\) 15.0865 + 15.0865i 0.861034 + 0.861034i 0.991458 0.130424i \(-0.0416339\pi\)
−0.130424 + 0.991458i \(0.541634\pi\)
\(308\) 0.722900 7.39065i 0.0411911 0.421121i
\(309\) 4.41323 + 2.54798i 0.251060 + 0.144950i
\(310\) 24.6156 24.6156i 1.39807 1.39807i
\(311\) −14.6633 + 25.3976i −0.831482 + 1.44017i 0.0653816 + 0.997860i \(0.479174\pi\)
−0.896863 + 0.442308i \(0.854160\pi\)
\(312\) −2.48012 + 2.61706i −0.140409 + 0.148162i
\(313\) 20.0771 11.5915i 1.13483 0.655192i 0.189682 0.981846i \(-0.439254\pi\)
0.945144 + 0.326654i \(0.105921\pi\)
\(314\) 2.48374 + 9.26943i 0.140165 + 0.523104i
\(315\) −5.58737 + 7.80824i −0.314812 + 0.439945i
\(316\) 4.08603 2.35907i 0.229857 0.132708i
\(317\) 8.06274 30.0906i 0.452849 1.69005i −0.241488 0.970404i \(-0.577636\pi\)
0.694337 0.719650i \(-0.255698\pi\)
\(318\) 3.13220 3.13220i 0.175645 0.175645i
\(319\) −9.60490 + 9.60490i −0.537771 + 0.537771i
\(320\) 0.939253 3.50534i 0.0525059 0.195955i
\(321\) 14.4036 8.31594i 0.803932 0.464150i
\(322\) −4.28678 + 5.99069i −0.238893 + 0.333848i
\(323\) 1.80008 + 6.71799i 0.100159 + 0.373799i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 15.4078 + 25.1048i 0.854671 + 1.39257i
\(326\) −9.89527 + 17.1391i −0.548048 + 0.949248i
\(327\) −0.457819 + 0.457819i −0.0253175 + 0.0253175i
\(328\) 6.99909 + 4.04093i 0.386460 + 0.223123i
\(329\) −0.535588 + 5.47564i −0.0295279 + 0.301882i
\(330\) 7.20232 + 7.20232i 0.396475 + 0.396475i
\(331\) −0.810766 + 0.217244i −0.0445638 + 0.0119408i −0.281032 0.959698i \(-0.590677\pi\)
0.236468 + 0.971639i \(0.424010\pi\)
\(332\) −4.55850 4.55850i −0.250180 0.250180i
\(333\) −3.00931 11.2309i −0.164909 0.615448i
\(334\) −8.78090 5.06965i −0.480469 0.277399i
\(335\) 6.63333 11.4893i 0.362417 0.627725i
\(336\) −2.04406 + 1.67982i −0.111513 + 0.0916417i
\(337\) 21.7718i 1.18598i −0.805208 0.592992i \(-0.797947\pi\)
0.805208 0.592992i \(-0.202053\pi\)
\(338\) 2.68553 12.7196i 0.146073 0.691854i
\(339\) −1.92750 1.11284i −0.104687 0.0604412i
\(340\) 3.73092 13.9240i 0.202337 0.755133i
\(341\) 26.9241i 1.45802i
\(342\) 0.875453 + 1.51633i 0.0473391 + 0.0819937i
\(343\) −16.3158 + 8.76330i −0.880969 + 0.473174i
\(344\) −0.584061 + 2.17975i −0.0314905 + 0.117524i
\(345\) −2.61513 9.75979i −0.140794 0.525450i
\(346\) −16.5739 + 4.44097i −0.891021 + 0.238748i
\(347\) −6.64918 −0.356947 −0.178473 0.983945i \(-0.557116\pi\)
−0.178473 + 0.983945i \(0.557116\pi\)
\(348\) 4.83957 0.259428
\(349\) −6.21010 + 1.66399i −0.332419 + 0.0890714i −0.421168 0.906983i \(-0.638380\pi\)
0.0887491 + 0.996054i \(0.471713\pi\)
\(350\) 8.93380 + 19.6821i 0.477531 + 1.05205i
\(351\) −1.71826 + 3.16979i −0.0917140 + 0.169191i
\(352\) 1.40337 + 2.43070i 0.0747997 + 0.129557i
\(353\) −21.4601 5.75021i −1.14220 0.306053i −0.362368 0.932035i \(-0.618032\pi\)
−0.779837 + 0.625982i \(0.784698\pi\)
\(354\) −2.73068 4.72967i −0.145134 0.251379i
\(355\) −13.3839 + 23.1816i −0.710345 + 1.23035i
\(356\) −2.30159 + 2.30159i −0.121984 + 0.121984i
\(357\) −8.11946 + 6.67261i −0.429728 + 0.353152i
\(358\) −14.5457 3.89751i −0.768765 0.205990i
\(359\) −1.88879 0.506100i −0.0996865 0.0267109i 0.208631 0.977994i \(-0.433099\pi\)
−0.308317 + 0.951284i \(0.599766\pi\)
\(360\) 3.62900i 0.191265i
\(361\) 13.7995 7.96717i 0.726291 0.419324i
\(362\) −17.2664 17.2664i −0.907504 0.907504i
\(363\) 3.12225 0.163875
\(364\) 3.11319 9.01710i 0.163176 0.472624i
\(365\) 19.7844 1.03556
\(366\) 9.68424 + 9.68424i 0.506203 + 0.506203i
\(367\) 14.4427 8.33851i 0.753904 0.435267i −0.0731989 0.997317i \(-0.523321\pi\)
0.827103 + 0.562051i \(0.189987\pi\)
\(368\) 2.78426i 0.145140i
\(369\) 7.80648 + 2.09174i 0.406389 + 0.108892i
\(370\) −40.7568 10.9208i −2.11885 0.567743i
\(371\) −4.12087 + 10.9712i −0.213945 + 0.569599i
\(372\) 6.78304 6.78304i 0.351684 0.351684i
\(373\) 6.21369 10.7624i 0.321733 0.557257i −0.659113 0.752044i \(-0.729068\pi\)
0.980846 + 0.194787i \(0.0624014\pi\)
\(374\) 5.57447 + 9.65527i 0.288249 + 0.499262i
\(375\) −11.1106 2.97707i −0.573748 0.153735i
\(376\) −1.03974 1.80088i −0.0536203 0.0928732i
\(377\) −14.8718 + 9.12737i −0.765935 + 0.470084i
\(378\) −1.53965 + 2.15163i −0.0791908 + 0.110668i
\(379\) 7.07722 1.89633i 0.363532 0.0974082i −0.0724291 0.997374i \(-0.523075\pi\)
0.435961 + 0.899965i \(0.356408\pi\)
\(380\) 6.35403 0.325955
\(381\) 4.69727 0.240648
\(382\) −3.77376 + 1.01118i −0.193082 + 0.0517362i
\(383\) −3.52224 13.1452i −0.179978 0.671687i −0.995650 0.0931724i \(-0.970299\pi\)
0.815672 0.578515i \(-0.196367\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) −25.2278 9.47570i −1.28573 0.482927i
\(386\) 8.80460 + 15.2500i 0.448142 + 0.776205i
\(387\) 2.25664i 0.114711i
\(388\) 4.00703 14.9544i 0.203426 0.759197i
\(389\) 4.45547 + 2.57237i 0.225901 + 0.130424i 0.608680 0.793416i \(-0.291699\pi\)
−0.382778 + 0.923840i \(0.625033\pi\)
\(390\) 6.84425 + 11.1517i 0.346572 + 0.564690i
\(391\) 11.0597i 0.559313i
\(392\) 3.08758 6.28227i 0.155946 0.317302i
\(393\) −7.33214 + 12.6996i −0.369858 + 0.640612i
\(394\) 14.0668 + 8.12145i 0.708673 + 0.409153i
\(395\) −4.43153 16.5387i −0.222974 0.832151i
\(396\) 1.98466 + 1.98466i 0.0997329 + 0.0997329i
\(397\) 13.0507 3.49693i 0.654997 0.175506i 0.0840100 0.996465i \(-0.473227\pi\)
0.570987 + 0.820959i \(0.306561\pi\)
\(398\) −17.6196 17.6196i −0.883191 0.883191i
\(399\) −3.76729 2.69577i −0.188601 0.134957i
\(400\) −7.07509 4.08481i −0.353755 0.204240i
\(401\) −10.1754 + 10.1754i −0.508137 + 0.508137i −0.913954 0.405817i \(-0.866987\pi\)
0.405817 + 0.913954i \(0.366987\pi\)
\(402\) 1.82787 3.16596i 0.0911658 0.157904i
\(403\) −8.05123 + 33.6367i −0.401060 + 1.67556i
\(404\) 8.95311 5.16908i 0.445434 0.257171i
\(405\) −0.939253 3.50534i −0.0466719 0.174182i
\(406\) −11.6594 + 5.29226i −0.578647 + 0.262650i
\(407\) 28.2619 16.3170i 1.40089 0.808805i
\(408\) 1.02808 3.83686i 0.0508978 0.189953i
\(409\) −16.2496 + 16.2496i −0.803491 + 0.803491i −0.983639 0.180149i \(-0.942342\pi\)
0.180149 + 0.983639i \(0.442342\pi\)
\(410\) 20.7388 20.7388i 1.02421 1.02421i
\(411\) 0.427959 1.59717i 0.0211097 0.0787824i
\(412\) 4.41323 2.54798i 0.217424 0.125530i
\(413\) 11.7508 + 8.40855i 0.578218 + 0.413758i
\(414\) −0.720620 2.68939i −0.0354166 0.132176i
\(415\) −20.2607 + 11.6975i −0.994559 + 0.574209i
\(416\) 1.02639 + 3.45638i 0.0503227 + 0.169463i
\(417\) −4.41213 + 7.64204i −0.216063 + 0.374232i
\(418\) −3.47495 + 3.47495i −0.169965 + 0.169965i
\(419\) −28.1122 16.2306i −1.37337 0.792917i −0.382022 0.924153i \(-0.624772\pi\)
−0.991351 + 0.131236i \(0.958105\pi\)
\(420\) 3.96845 + 8.74292i 0.193641 + 0.426611i
\(421\) −17.5164 17.5164i −0.853695 0.853695i 0.136891 0.990586i \(-0.456289\pi\)
−0.990586 + 0.136891i \(0.956289\pi\)
\(422\) −24.3057 + 6.51270i −1.18318 + 0.317033i
\(423\) −1.47041 1.47041i −0.0714938 0.0714938i
\(424\) −1.14647 4.27867i −0.0556773 0.207791i
\(425\) −28.1038 16.2257i −1.36323 0.787063i
\(426\) −3.68805 + 6.38789i −0.178687 + 0.309494i
\(427\) −33.9212 12.7410i −1.64156 0.616581i
\(428\) 16.6319i 0.803932i
\(429\) −9.84182 2.35572i −0.475167 0.113735i
\(430\) 7.09217 + 4.09467i 0.342015 + 0.197462i
\(431\) −0.476905 + 1.77983i −0.0229717 + 0.0857316i −0.976460 0.215698i \(-0.930797\pi\)
0.953488 + 0.301430i \(0.0974639\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −9.67519 16.7579i −0.464960 0.805335i 0.534240 0.845333i \(-0.320598\pi\)
−0.999200 + 0.0399985i \(0.987265\pi\)
\(434\) −8.92407 + 23.7591i −0.428369 + 1.14047i
\(435\) 4.54558 16.9643i 0.217944 0.813378i
\(436\) 0.167574 + 0.625393i 0.00802532 + 0.0299509i
\(437\) 4.70887 1.26174i 0.225256 0.0603571i
\(438\) 5.45175 0.260495
\(439\) −24.5854 −1.17340 −0.586698 0.809806i \(-0.699572\pi\)
−0.586698 + 0.809806i \(0.699572\pi\)
\(440\) 9.83856 2.63623i 0.469035 0.125678i
\(441\) 1.35640 6.86733i 0.0645906 0.327016i
\(442\) 4.07703 + 13.7295i 0.193924 + 0.653044i
\(443\) 12.3604 + 21.4088i 0.587260 + 1.01716i 0.994590 + 0.103883i \(0.0331267\pi\)
−0.407330 + 0.913281i \(0.633540\pi\)
\(444\) −11.2309 3.00931i −0.532994 0.142815i
\(445\) 5.90609 + 10.2296i 0.279975 + 0.484932i
\(446\) 8.69140 15.0539i 0.411550 0.712825i
\(447\) 11.7326 11.7326i 0.554932 0.554932i
\(448\) 0.432735 + 2.61012i 0.0204448 + 0.123317i
\(449\) 24.5873 + 6.58814i 1.16034 + 0.310913i 0.787104 0.616821i \(-0.211580\pi\)
0.373241 + 0.927734i \(0.378246\pi\)
\(450\) −7.89124 2.11445i −0.371997 0.0996762i
\(451\) 22.6836i 1.06813i
\(452\) −1.92750 + 1.11284i −0.0906618 + 0.0523436i
\(453\) 7.81719 + 7.81719i 0.367284 + 0.367284i
\(454\) −21.1054 −0.990527
\(455\) −28.6839 19.3821i −1.34472 0.908649i
\(456\) 1.75091 0.0819937
\(457\) 3.71575 + 3.71575i 0.173815 + 0.173815i 0.788653 0.614838i \(-0.210779\pi\)
−0.614838 + 0.788653i \(0.710779\pi\)
\(458\) −9.02586 + 5.21108i −0.421751 + 0.243498i
\(459\) 3.97221i 0.185407i
\(460\) −9.75979 2.61513i −0.455053 0.121931i
\(461\) 0.174143 + 0.0466615i 0.00811065 + 0.00217324i 0.262872 0.964831i \(-0.415330\pi\)
−0.254761 + 0.967004i \(0.581997\pi\)
\(462\) −6.95172 2.61111i −0.323423 0.121480i
\(463\) 3.43433 3.43433i 0.159607 0.159607i −0.622786 0.782393i \(-0.713999\pi\)
0.782393 + 0.622786i \(0.213999\pi\)
\(464\) 2.41978 4.19119i 0.112336 0.194571i
\(465\) −17.4059 30.1479i −0.807178 1.39807i
\(466\) 20.5058 + 5.49452i 0.949914 + 0.254529i
\(467\) 14.7088 + 25.4765i 0.680644 + 1.17891i 0.974785 + 0.223148i \(0.0716333\pi\)
−0.294141 + 0.955762i \(0.595033\pi\)
\(468\) 1.88599 + 3.07295i 0.0871799 + 0.142047i
\(469\) −0.941569 + 9.62623i −0.0434776 + 0.444498i
\(470\) −7.28927 + 1.95315i −0.336229 + 0.0900922i
\(471\) 9.59642 0.442180
\(472\) −5.46135 −0.251379
\(473\) −6.11797 + 1.63930i −0.281304 + 0.0753753i
\(474\) −1.22114 4.55737i −0.0560890 0.209327i
\(475\) 3.70220 13.8168i 0.169869 0.633959i
\(476\) 1.71892 + 10.3680i 0.0787864 + 0.475215i
\(477\) −2.21480 3.83615i −0.101409 0.175645i
\(478\) 18.7151i 0.856011i
\(479\) −5.00320 + 18.6722i −0.228602 + 0.853155i 0.752327 + 0.658790i \(0.228931\pi\)
−0.980929 + 0.194365i \(0.937735\pi\)
\(480\) −3.14280 1.81450i −0.143449 0.0828201i
\(481\) 40.1875 11.9339i 1.83239 0.544137i
\(482\) 17.9243i 0.816428i
\(483\) 4.67706 + 5.69122i 0.212814 + 0.258959i
\(484\) 1.56112 2.70395i 0.0709602 0.122907i
\(485\) −48.6568 28.0920i −2.20939 1.27559i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) 24.7041 + 24.7041i 1.11945 + 1.11945i 0.991822 + 0.127629i \(0.0407368\pi\)
0.127629 + 0.991822i \(0.459263\pi\)
\(488\) 13.2289 3.54468i 0.598845 0.160460i
\(489\) 13.9940 + 13.9940i 0.632832 + 0.632832i
\(490\) −19.1215 16.7237i −0.863820 0.755498i
\(491\) 8.91669 + 5.14805i 0.402404 + 0.232328i 0.687521 0.726165i \(-0.258699\pi\)
−0.285117 + 0.958493i \(0.592032\pi\)
\(492\) 5.71474 5.71474i 0.257640 0.257640i
\(493\) 9.61190 16.6483i 0.432898 0.749802i
\(494\) −5.38045 + 3.30219i −0.242078 + 0.148572i
\(495\) 8.82101 5.09281i 0.396475 0.228905i
\(496\) −2.48276 9.26580i −0.111479 0.416047i
\(497\) 1.89978 19.4226i 0.0852169 0.871224i
\(498\) −5.58300 + 3.22335i −0.250180 + 0.144442i
\(499\) −4.12442 + 15.3926i −0.184634 + 0.689065i 0.810074 + 0.586328i \(0.199427\pi\)
−0.994708 + 0.102738i \(0.967240\pi\)
\(500\) −8.13351 + 8.13351i −0.363741 + 0.363741i
\(501\) −7.16957 + 7.16957i −0.320313 + 0.320313i
\(502\) 1.21383 4.53006i 0.0541757 0.202186i
\(503\) 13.8649 8.00489i 0.618205 0.356921i −0.157965 0.987445i \(-0.550493\pi\)
0.776170 + 0.630524i \(0.217160\pi\)
\(504\) 1.09354 + 2.40918i 0.0487101 + 0.107314i
\(505\) −9.71015 36.2388i −0.432096 1.61260i
\(506\) 6.76772 3.90734i 0.300862 0.173703i
\(507\) −11.5911 5.88609i −0.514779 0.261410i
\(508\) 2.34863 4.06795i 0.104204 0.180486i
\(509\) 9.40170 9.40170i 0.416723 0.416723i −0.467350 0.884073i \(-0.654791\pi\)
0.884073 + 0.467350i \(0.154791\pi\)
\(510\) −12.4839 7.20758i −0.552796 0.319157i
\(511\) −13.1343 + 5.96170i −0.581026 + 0.263730i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 1.69124 0.453168i 0.0746703 0.0200078i
\(514\) 7.43490 + 7.43490i 0.327939 + 0.327939i
\(515\) −4.78640 17.8631i −0.210914 0.787141i
\(516\) 1.95431 + 1.12832i 0.0860336 + 0.0496715i
\(517\) 2.91826 5.05458i 0.128345 0.222300i
\(518\) 30.3481 5.03144i 1.33342 0.221069i
\(519\) 17.1586i 0.753179i
\(520\) 13.0798 0.351423i 0.573588 0.0154109i
\(521\) 16.2369 + 9.37438i 0.711351 + 0.410699i 0.811561 0.584267i \(-0.198618\pi\)
−0.100210 + 0.994966i \(0.531951\pi\)
\(522\) 1.25257 4.67466i 0.0548236 0.204604i
\(523\) 5.01454i 0.219270i −0.993972 0.109635i \(-0.965032\pi\)
0.993972 0.109635i \(-0.0349682\pi\)
\(524\) 7.33214 + 12.6996i 0.320306 + 0.554787i
\(525\) 21.3237 3.53528i 0.930642 0.154292i
\(526\) −1.29865 + 4.84664i −0.0566240 + 0.211324i
\(527\) −9.86207 36.8058i −0.429599 1.60328i
\(528\) 2.71110 0.726436i 0.117985 0.0316141i
\(529\) 15.2479 0.662951
\(530\) −16.0750 −0.698254
\(531\) −5.27526 + 1.41350i −0.228927 + 0.0613408i
\(532\) −4.21825 + 1.91468i −0.182885 + 0.0830121i
\(533\) −6.78319 + 28.3391i −0.293813 + 1.22750i
\(534\) 1.62747 + 2.81886i 0.0704276 + 0.121984i
\(535\) −58.3004 15.6215i −2.52055 0.675378i
\(536\) −1.82787 3.16596i −0.0789519 0.136749i
\(537\) −7.52942 + 13.0413i −0.324918 + 0.562775i
\(538\) 5.67698 5.67698i 0.244752 0.244752i
\(539\) 19.6033 1.31133i 0.844375 0.0564832i
\(540\) −3.50534 0.939253i −0.150846 0.0404190i
\(541\) −8.47577 2.27108i −0.364402 0.0976412i 0.0719719 0.997407i \(-0.477071\pi\)
−0.436374 + 0.899765i \(0.643737\pi\)
\(542\) 19.3272i 0.830176i
\(543\) −21.1470 + 12.2092i −0.907504 + 0.523948i
\(544\) −2.80878 2.80878i −0.120425 0.120425i
\(545\) 2.34961 0.100646
\(546\) −7.90409 5.34091i −0.338264 0.228570i
\(547\) −27.2919 −1.16692 −0.583459 0.812143i \(-0.698301\pi\)
−0.583459 + 0.812143i \(0.698301\pi\)
\(548\) −1.16921 1.16921i −0.0499460 0.0499460i
\(549\) 11.8607 6.84779i 0.506203 0.292256i
\(550\) 22.9299i 0.977735i
\(551\) 8.18489 + 2.19314i 0.348688 + 0.0934307i
\(552\) −2.68939 0.720620i −0.114468 0.0306716i
\(553\) 7.92563 + 9.64418i 0.337032 + 0.410112i
\(554\) 13.4569 13.4569i 0.571728 0.571728i
\(555\) −21.0973 + 36.5416i −0.895530 + 1.55110i
\(556\) 4.41213 + 7.64204i 0.187116 + 0.324095i
\(557\) −41.5974 11.1460i −1.76254 0.472271i −0.775311 0.631579i \(-0.782407\pi\)
−0.987229 + 0.159308i \(0.949074\pi\)
\(558\) −4.79633 8.30749i −0.203045 0.351684i
\(559\) −8.13350 + 0.218528i −0.344010 + 0.00924273i
\(560\) 9.55582 + 0.934682i 0.403807 + 0.0394975i
\(561\) 10.7691 2.88556i 0.454670 0.121828i
\(562\) −8.93571 −0.376930
\(563\) 38.5816 1.62602 0.813009 0.582251i \(-0.197828\pi\)
0.813009 + 0.582251i \(0.197828\pi\)
\(564\) −2.00862 + 0.538208i −0.0845781 + 0.0226626i
\(565\) 2.09048 + 7.80177i 0.0879471 + 0.328223i
\(566\) 7.43287 27.7398i 0.312427 1.16599i
\(567\) 1.67982 + 2.04406i 0.0705459 + 0.0858427i
\(568\) 3.68805 + 6.38789i 0.154747 + 0.268030i
\(569\) 14.2378i 0.596879i −0.954429 0.298440i \(-0.903534\pi\)
0.954429 0.298440i \(-0.0964662\pi\)
\(570\) 1.64454 6.13752i 0.0688824 0.257072i
\(571\) 0.320357 + 0.184958i 0.0134065 + 0.00774025i 0.506688 0.862129i \(-0.330870\pi\)
−0.493282 + 0.869870i \(0.664203\pi\)
\(572\) −6.96102 + 7.34540i −0.291055 + 0.307127i
\(573\) 3.90688i 0.163212i
\(574\) −7.51857 + 20.0171i −0.313819 + 0.835500i
\(575\) −11.3732 + 19.6989i −0.474294 + 0.821502i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 3.92680 + 14.6550i 0.163475 + 0.610097i 0.998230 + 0.0594750i \(0.0189427\pi\)
−0.834755 + 0.550622i \(0.814391\pi\)
\(578\) 0.863738 + 0.863738i 0.0359268 + 0.0359268i
\(579\) 17.0092 4.55759i 0.706877 0.189407i
\(580\) −12.4188 12.4188i −0.515661 0.515661i
\(581\) 9.92563 13.8709i 0.411784 0.575461i
\(582\) −13.4078 7.74099i −0.555771 0.320874i
\(583\) 8.79126 8.79126i 0.364097 0.364097i
\(584\) 2.72587 4.72135i 0.112797 0.195371i
\(585\) 12.5432 3.72475i 0.518596 0.154000i
\(586\) 18.4654 10.6610i 0.762800 0.440403i
\(587\) 0.548765 + 2.04802i 0.0226499 + 0.0845307i 0.976326 0.216306i \(-0.0694008\pi\)
−0.953676 + 0.300837i \(0.902734\pi\)
\(588\) −5.26908 4.60834i −0.217293 0.190045i
\(589\) 14.5456 8.39793i 0.599342 0.346030i
\(590\) −5.12959 + 19.1439i −0.211182 + 0.788142i
\(591\) 11.4855 11.4855i 0.472449 0.472449i
\(592\) −8.22157 + 8.22157i −0.337905 + 0.337905i
\(593\) −6.58130 + 24.5618i −0.270262 + 1.00863i 0.688689 + 0.725057i \(0.258187\pi\)
−0.958951 + 0.283573i \(0.908480\pi\)
\(594\) 2.43070 1.40337i 0.0997329 0.0575808i
\(595\) 37.9578 + 3.71276i 1.55612 + 0.152208i
\(596\) −4.29442 16.0270i −0.175906 0.656492i
\(597\) −21.5795 + 12.4589i −0.883191 + 0.509911i
\(598\) 9.62346 2.85773i 0.393533 0.116861i
\(599\) 8.48442 14.6954i 0.346664 0.600440i −0.638991 0.769215i \(-0.720648\pi\)
0.985655 + 0.168775i \(0.0539811\pi\)
\(600\) −5.77679 + 5.77679i −0.235836 + 0.235836i
\(601\) −30.9667 17.8786i −1.26316 0.729284i −0.289472 0.957186i \(-0.593480\pi\)
−0.973684 + 0.227903i \(0.926813\pi\)
\(602\) −5.94215 0.581219i −0.242184 0.0236887i
\(603\) −2.58500 2.58500i −0.105269 0.105269i
\(604\) 10.6785 2.86129i 0.434501 0.116424i
\(605\) −8.01196 8.01196i −0.325733 0.325733i
\(606\) −2.67571 9.98589i −0.108693 0.405649i
\(607\) 21.9632 + 12.6805i 0.891460 + 0.514685i 0.874420 0.485170i \(-0.161242\pi\)
0.0170401 + 0.999855i \(0.494576\pi\)
\(608\) 0.875453 1.51633i 0.0355043 0.0614952i
\(609\) 2.09425 + 12.6319i 0.0848634 + 0.511869i
\(610\) 49.7012i 2.01234i
\(611\) 5.15734 5.44212i 0.208644 0.220165i
\(612\) −3.44004 1.98611i −0.139055 0.0802836i
\(613\) −6.13674 + 22.9026i −0.247861 + 0.925029i 0.724063 + 0.689733i \(0.242272\pi\)
−0.971924 + 0.235295i \(0.924394\pi\)
\(614\) 21.3356i 0.861034i
\(615\) −14.6645 25.3997i −0.591330 1.02421i
\(616\) −5.73715 + 4.71481i −0.231156 + 0.189965i
\(617\) −2.21727 + 8.27497i −0.0892639 + 0.333138i −0.996087 0.0883729i \(-0.971833\pi\)
0.906824 + 0.421511i \(0.138500\pi\)
\(618\) −1.31893 4.92232i −0.0530552 0.198005i
\(619\) 24.5826 6.58689i 0.988058 0.264749i 0.271624 0.962404i \(-0.412439\pi\)
0.716435 + 0.697654i \(0.245773\pi\)
\(620\) −34.8117 −1.39807
\(621\) −2.78426 −0.111729
\(622\) 28.3274 7.59030i 1.13582 0.304343i
\(623\) −7.00342 5.01146i −0.280586 0.200780i
\(624\) 3.60425 0.0968376i 0.144285 0.00387661i
\(625\) 0.447257 + 0.774672i 0.0178903 + 0.0309869i
\(626\) −22.3931 6.00022i −0.895009 0.239817i
\(627\) 2.45716 + 4.25593i 0.0981296 + 0.169965i
\(628\) 4.79821 8.31074i 0.191469 0.331635i
\(629\) −32.6579 + 32.6579i −1.30215 + 1.30215i
\(630\) 9.47213 1.57039i 0.377378 0.0625660i
\(631\) −16.9334 4.53729i −0.674108 0.180627i −0.0945035 0.995525i \(-0.530126\pi\)
−0.579605 + 0.814898i \(0.696793\pi\)
\(632\) −4.55737 1.22114i −0.181282 0.0485745i
\(633\) 25.1631i 1.00014i
\(634\) −26.9785 + 15.5760i −1.07145 + 0.618603i
\(635\) −12.0536 12.0536i −0.478333 0.478333i
\(636\) −4.42961 −0.175645
\(637\) 24.8829 + 4.22380i 0.985897 + 0.167353i
\(638\) 13.5834 0.537771
\(639\) 5.21569 + 5.21569i 0.206330 + 0.206330i
\(640\) −3.14280 + 1.81450i −0.124230 + 0.0717243i
\(641\) 39.7868i 1.57149i 0.618554 + 0.785743i \(0.287719\pi\)
−0.618554 + 0.785743i \(0.712281\pi\)
\(642\) −16.0652 4.30465i −0.634041 0.169891i
\(643\) −19.5278 5.23247i −0.770103 0.206348i −0.147686 0.989034i \(-0.547182\pi\)
−0.622417 + 0.782686i \(0.713849\pi\)
\(644\) 7.26727 1.20485i 0.286371 0.0474777i
\(645\) 5.79074 5.79074i 0.228010 0.228010i
\(646\) 3.47749 6.02318i 0.136820 0.236979i
\(647\) −22.5507 39.0590i −0.886560 1.53557i −0.843915 0.536476i \(-0.819755\pi\)
−0.0426444 0.999090i \(-0.513578\pi\)
\(648\) −0.965926 0.258819i −0.0379452 0.0101674i
\(649\) −7.66428 13.2749i −0.300849 0.521086i
\(650\) 6.85684 28.6468i 0.268948 1.12362i
\(651\) 20.6398 + 14.7693i 0.808938 + 0.578855i
\(652\) 19.1162 5.12217i 0.748648 0.200600i
\(653\) 0.495719 0.0193990 0.00969950 0.999953i \(-0.496913\pi\)
0.00969950 + 0.999953i \(0.496913\pi\)
\(654\) 0.647454 0.0253175
\(655\) 51.4033 13.7735i 2.00849 0.538175i
\(656\) −2.09174 7.80648i −0.0816687 0.304792i
\(657\) 1.41102 5.26598i 0.0550490 0.205446i
\(658\) 4.25058 3.49314i 0.165705 0.136177i
\(659\) 12.2364 + 21.1940i 0.476661 + 0.825600i 0.999642 0.0267435i \(-0.00851374\pi\)
−0.522982 + 0.852344i \(0.675180\pi\)
\(660\) 10.1856i 0.396475i
\(661\) −4.86322 + 18.1498i −0.189157 + 0.705945i 0.804545 + 0.593892i \(0.202409\pi\)
−0.993702 + 0.112053i \(0.964257\pi\)
\(662\) 0.726913 + 0.419684i 0.0282523 + 0.0163115i
\(663\) 14.3169 0.384660i 0.556021 0.0149389i
\(664\) 6.44670i 0.250180i
\(665\) 2.74961 + 16.5848i 0.106625 + 0.643131i
\(666\) −5.81353 + 10.0693i −0.225270 + 0.390179i
\(667\) −11.6694 6.73732i −0.451840 0.260870i
\(668\) 2.62425 + 9.79382i 0.101535 + 0.378934i
\(669\) −12.2915 12.2915i −0.475217 0.475217i
\(670\) −12.8146 + 3.43366i −0.495071 + 0.132654i
\(671\) 27.1811 + 27.1811i 1.04931 + 1.04931i
\(672\) 2.63318 + 0.257559i 0.101577 + 0.00993557i
\(673\) 11.8135 + 6.82054i 0.455378 + 0.262912i 0.710099 0.704102i \(-0.248650\pi\)
−0.254721 + 0.967015i \(0.581984\pi\)
\(674\) −15.3950 + 15.3950i −0.592992 + 0.592992i
\(675\) −4.08481 + 7.07509i −0.157224 + 0.272320i
\(676\) −10.8931 + 7.09515i −0.418964 + 0.272891i
\(677\) −40.7614 + 23.5336i −1.56659 + 0.904471i −0.570027 + 0.821626i \(0.693067\pi\)
−0.996562 + 0.0828450i \(0.973599\pi\)
\(678\) 0.576049 + 2.14984i 0.0221230 + 0.0825643i
\(679\) 40.7669 + 3.98753i 1.56449 + 0.153027i
\(680\) −12.4839 + 7.20758i −0.478735 + 0.276398i
\(681\) −5.46249 + 20.3863i −0.209323 + 0.781204i
\(682\) 19.0382 19.0382i 0.729010 0.729010i
\(683\) −6.50572 + 6.50572i −0.248935 + 0.248935i −0.820533 0.571599i \(-0.806323\pi\)
0.571599 + 0.820533i \(0.306323\pi\)
\(684\) 0.453168 1.69124i 0.0173273 0.0646664i
\(685\) −5.19665 + 3.00029i −0.198554 + 0.114635i
\(686\) 17.7336 + 5.34040i 0.677071 + 0.203898i
\(687\) 2.69746 + 10.0670i 0.102914 + 0.384082i
\(688\) 1.95431 1.12832i 0.0745073 0.0430168i
\(689\) 13.6120 8.35419i 0.518575 0.318269i
\(690\) −5.05204 + 8.75039i −0.192328 + 0.333122i
\(691\) −1.87801 + 1.87801i −0.0714430 + 0.0714430i −0.741925 0.670482i \(-0.766087\pi\)
0.670482 + 0.741925i \(0.266087\pi\)
\(692\) 14.8598 + 8.57930i 0.564884 + 0.326136i
\(693\) −4.32137 + 6.03904i −0.164155 + 0.229404i
\(694\) 4.70168 + 4.70168i 0.178473 + 0.178473i
\(695\) 30.9321 8.28822i 1.17332 0.314390i
\(696\) −3.42209 3.42209i −0.129714 0.129714i
\(697\) −8.30884 31.0090i −0.314720 1.17455i
\(698\) 5.56782 + 3.21458i 0.210745 + 0.121674i
\(699\) 10.6146 18.3850i 0.401481 0.695386i
\(700\) 7.60020 20.2345i 0.287261 0.764792i
\(701\) 27.9693i 1.05638i −0.849125 0.528192i \(-0.822870\pi\)
0.849125 0.528192i \(-0.177130\pi\)
\(702\) 3.45638 1.02639i 0.130452 0.0387385i
\(703\) −17.6304 10.1789i −0.664945 0.383906i
\(704\) 0.726436 2.71110i 0.0273786 0.102178i
\(705\) 7.54640i 0.284214i
\(706\) 11.1086 + 19.2406i 0.418076 + 0.724129i
\(707\) 17.3663 + 21.1319i 0.653125 + 0.794745i
\(708\) −1.41350 + 5.27526i −0.0531227 + 0.198257i
\(709\) −5.25204 19.6009i −0.197245 0.736127i −0.991674 0.128771i \(-0.958897\pi\)
0.794430 0.607356i \(-0.207770\pi\)
\(710\) 25.8558 6.92803i 0.970349 0.260004i
\(711\) −4.71814 −0.176944
\(712\) 3.25494 0.121984
\(713\) −25.7984 + 6.91267i −0.966159 + 0.258882i
\(714\) 10.4596 + 1.02308i 0.391440 + 0.0382878i
\(715\) 19.2100 + 31.3000i 0.718412 + 1.17055i
\(716\) 7.52942 + 13.0413i 0.281388 + 0.487378i
\(717\) 18.0774 + 4.84384i 0.675114 + 0.180896i
\(718\) 0.977709 + 1.69344i 0.0364878 + 0.0631987i
\(719\) 7.44832 12.9009i 0.277775 0.481121i −0.693056 0.720883i \(-0.743736\pi\)
0.970832 + 0.239763i \(0.0770696\pi\)
\(720\) −2.56609 + 2.56609i −0.0956324 + 0.0956324i
\(721\) 8.56030 + 10.4165i 0.318802 + 0.387930i
\(722\) −15.3914 4.12411i −0.572808 0.153483i
\(723\) 17.3135 + 4.63914i 0.643897 + 0.172532i
\(724\) 24.4184i 0.907504i
\(725\) −34.2404 + 19.7687i −1.27166 + 0.734191i
\(726\) −2.20776 2.20776i −0.0819377 0.0819377i
\(727\) 19.1877 0.711634 0.355817 0.934556i \(-0.384203\pi\)
0.355817 + 0.934556i \(0.384203\pi\)
\(728\) −8.57741 + 4.17469i −0.317900 + 0.154724i
\(729\) −1.00000 −0.0370370
\(730\) −13.9897 13.9897i −0.517781 0.517781i
\(731\) 7.76293 4.48193i 0.287122 0.165770i
\(732\) 13.6956i 0.506203i
\(733\) 39.0143 + 10.4539i 1.44103 + 0.386122i 0.892893 0.450268i \(-0.148672\pi\)
0.548134 + 0.836390i \(0.315338\pi\)
\(734\) −16.1088 4.31633i −0.594585 0.159319i
\(735\) −21.1028 + 14.1415i −0.778389 + 0.521618i
\(736\) −1.96877 + 1.96877i −0.0725699 + 0.0725699i
\(737\) 5.13034 8.88601i 0.188979 0.327320i
\(738\) −4.04093 6.99909i −0.148749 0.257640i
\(739\) 12.6696 + 3.39481i 0.466059 + 0.124880i 0.484204 0.874955i \(-0.339109\pi\)
−0.0181446 + 0.999835i \(0.505776\pi\)
\(740\) 21.0973 + 36.5416i 0.775552 + 1.34329i
\(741\) 1.79711 + 6.05179i 0.0660183 + 0.222318i
\(742\) 10.6717 4.84395i 0.391772 0.177827i
\(743\) 16.2452 4.35289i 0.595979 0.159692i 0.0517945 0.998658i \(-0.483506\pi\)
0.544184 + 0.838966i \(0.316839\pi\)
\(744\) −9.59267 −0.351684
\(745\) −60.2137 −2.20606
\(746\) −12.0039 + 3.21644i −0.439495 + 0.117762i
\(747\) 1.66853 + 6.22703i 0.0610483 + 0.227835i
\(748\) 2.88556 10.7691i 0.105507 0.393756i
\(749\) 43.4112 7.19720i 1.58621 0.262980i
\(750\) 5.75126 + 9.96147i 0.210006 + 0.363741i
\(751\) 7.68549i 0.280447i −0.990120 0.140224i \(-0.955218\pi\)
0.990120 0.140224i \(-0.0447822\pi\)
\(752\) −0.538208 + 2.00862i −0.0196264 + 0.0732468i
\(753\) −4.06154 2.34493i −0.148011 0.0854540i
\(754\) 16.9700 + 4.06190i 0.618009 + 0.147926i
\(755\) 40.1192i 1.46009i
\(756\) 2.61012 0.432735i 0.0949292 0.0157384i
\(757\) −0.600662 + 1.04038i −0.0218314 + 0.0378131i −0.876735 0.480974i \(-0.840283\pi\)
0.854903 + 0.518787i \(0.173616\pi\)
\(758\) −6.34526 3.66344i −0.230470 0.133062i
\(759\) −2.02259 7.54841i −0.0734153 0.273990i
\(760\) −4.49298 4.49298i −0.162977 0.162977i
\(761\) −32.5042 + 8.70948i −1.17828 + 0.315718i −0.794243 0.607601i \(-0.792132\pi\)
−0.384034 + 0.923319i \(0.625465\pi\)
\(762\) −3.32147 3.32147i −0.120324 0.120324i
\(763\) −1.55984 + 0.708017i −0.0564699 + 0.0256319i
\(764\) 3.38346 + 1.95344i 0.122409 + 0.0706730i
\(765\) −10.1931 + 10.1931i −0.368531 + 0.368531i
\(766\) −6.80444 + 11.7856i −0.245855 + 0.425833i
\(767\) −5.60546 18.8765i −0.202401 0.681591i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 9.90694 + 36.9732i 0.357253 + 1.33329i 0.877625 + 0.479348i \(0.159127\pi\)
−0.520371 + 0.853940i \(0.674207\pi\)
\(770\) 11.1384 + 24.5391i 0.401399 + 0.884326i
\(771\) 9.10586 5.25727i 0.327939 0.189336i
\(772\) 4.55759 17.0092i 0.164031 0.612174i
\(773\) −10.6503 + 10.6503i −0.383066 + 0.383066i −0.872205 0.489140i \(-0.837311\pi\)
0.489140 + 0.872205i \(0.337311\pi\)
\(774\) 1.59569 1.59569i 0.0573557