Properties

Label 62.2.d.b.47.1
Level 62
Weight 2
Character 62.47
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.1903140625.1
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 47.1
Root \(0.671745 - 2.06742i\)
Character \(\chi\) = 62.47
Dual form 62.2.d.b.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 - 0.587785i) q^{2} +(-1.75865 - 1.27773i) q^{3} +(0.309017 - 0.951057i) q^{4} +1.89927 q^{5} -2.17381 q^{6} +(-0.500000 + 1.53884i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.533195 + 1.64101i) q^{9} +O(q^{10})\) \(q+(0.809017 - 0.587785i) q^{2} +(-1.75865 - 1.27773i) q^{3} +(0.309017 - 0.951057i) q^{4} +1.89927 q^{5} -2.17381 q^{6} +(-0.500000 + 1.53884i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(0.533195 + 1.64101i) q^{9} +(1.53654 - 1.11636i) q^{10} +(-1.87668 + 5.77584i) q^{11} +(-1.75865 + 1.27773i) q^{12} +(1.34015 + 0.973673i) q^{13} +(0.500000 + 1.53884i) q^{14} +(-3.34015 - 2.42676i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.586906 - 1.80631i) q^{17} +(1.39592 + 1.01420i) q^{18} +(3.12344 - 2.26932i) q^{19} +(0.586906 - 1.80631i) q^{20} +(2.84556 - 2.06742i) q^{21} +(1.87668 + 5.77584i) q^{22} +(-2.88403 - 8.87614i) q^{23} +(-0.671745 + 2.06742i) q^{24} -1.39279 q^{25} +1.65651 q^{26} +(-0.856169 + 2.63502i) q^{27} +(1.30902 + 0.951057i) q^{28} +(-7.89064 + 5.73289i) q^{29} -4.12865 q^{30} +(5.42912 - 1.23478i) q^{31} -1.00000 q^{32} +(10.6804 - 7.75978i) q^{33} +(-1.53654 - 1.11636i) q^{34} +(-0.949633 + 2.92267i) q^{35} +1.72546 q^{36} -0.864666 q^{37} +(1.19305 - 3.67183i) q^{38} +(-1.11275 - 3.42470i) q^{39} +(-0.586906 - 1.80631i) q^{40} +(-3.03654 + 2.20617i) q^{41} +(1.08691 - 3.34515i) q^{42} +(5.63533 - 4.09431i) q^{43} +(4.91322 + 3.56967i) q^{44} +(1.01268 + 3.11671i) q^{45} +(-7.55050 - 5.48576i) q^{46} +(-1.50000 - 1.08981i) q^{47} +(0.671745 + 2.06742i) q^{48} +(3.54508 + 2.57565i) q^{49} +(-1.12679 + 0.818660i) q^{50} +(-1.27582 + 3.92658i) q^{51} +(1.34015 - 0.973673i) q^{52} +(-0.492652 - 1.51623i) q^{53} +(0.856169 + 2.63502i) q^{54} +(-3.56432 + 10.9699i) q^{55} +1.61803 q^{56} -8.39263 q^{57} +(-3.01396 + 9.27600i) q^{58} +(-1.07815 - 0.783323i) q^{59} +(-3.34015 + 2.42676i) q^{60} +4.11155 q^{61} +(3.66646 - 4.19011i) q^{62} -2.79185 q^{63} +(-0.809017 + 0.587785i) q^{64} +(2.54529 + 1.84926i) q^{65} +(4.07956 - 12.5556i) q^{66} -6.86079 q^{67} -1.89927 q^{68} +(-6.26934 + 19.2951i) q^{69} +(0.949633 + 2.92267i) q^{70} +(0.694247 + 2.13667i) q^{71} +(1.39592 - 1.01420i) q^{72} +(2.02993 - 6.24748i) q^{73} +(-0.699529 + 0.508238i) q^{74} +(2.44943 + 1.77961i) q^{75} +(-1.19305 - 3.67183i) q^{76} +(-7.94976 - 5.77584i) q^{77} +(-2.91322 - 2.11658i) q^{78} +(1.14062 + 3.51046i) q^{79} +(-1.53654 - 1.11636i) q^{80} +(9.06032 - 6.58271i) q^{81} +(-1.15985 + 3.56967i) q^{82} +(6.35410 - 4.61653i) q^{83} +(-1.08691 - 3.34515i) q^{84} +(-1.11469 - 3.43066i) q^{85} +(2.15251 - 6.62473i) q^{86} +21.2020 q^{87} +6.07308 q^{88} +(3.50748 - 10.7949i) q^{89} +(2.65123 + 1.92623i) q^{90} +(-2.16840 + 1.57544i) q^{91} -9.33293 q^{92} +(-11.1256 - 4.76542i) q^{93} -1.85410 q^{94} +(5.93225 - 4.31003i) q^{95} +(1.75865 + 1.27773i) q^{96} +(3.43774 - 10.5803i) q^{97} +4.38197 q^{98} -10.4788 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} + O(q^{10}) \) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} - 5q^{10} + 6q^{11} - 2q^{12} + 7q^{13} + 4q^{14} - 23q^{15} - 2q^{16} + 5q^{17} - 3q^{18} - 2q^{19} - 5q^{20} + q^{21} - 6q^{22} - 15q^{23} - 3q^{24} + 16q^{25} + 18q^{26} + 37q^{27} + 6q^{28} - 19q^{29} - 2q^{30} + 13q^{31} - 8q^{32} + 30q^{33} + 5q^{34} + 18q^{36} - 40q^{37} - 3q^{38} + 30q^{39} + 5q^{40} - 7q^{41} - q^{42} + 12q^{43} + q^{44} - 31q^{45} - 20q^{46} - 12q^{47} + 3q^{48} + 6q^{49} + 19q^{50} - 22q^{51} + 7q^{52} + 9q^{53} - 37q^{54} - 13q^{55} + 4q^{56} + 28q^{57} - q^{58} - 18q^{59} - 23q^{60} + 12q^{61} - 3q^{62} + 6q^{63} - 2q^{64} - 16q^{65} + 10q^{66} - 26q^{67} - 50q^{69} - 25q^{71} - 3q^{72} + 35q^{73} - 5q^{74} + 26q^{75} + 3q^{76} - 8q^{77} + 15q^{78} + 6q^{79} + 5q^{80} + 43q^{81} - 13q^{82} + 24q^{83} + q^{84} - q^{85} + 8q^{86} + 8q^{87} + 14q^{88} - 7q^{89} - 4q^{90} - 16q^{91} - 10q^{92} + 3q^{93} + 12q^{94} + 30q^{95} + 2q^{96} + 26q^{97} + 44q^{98} - 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 0.587785i 0.572061 0.415627i
\(3\) −1.75865 1.27773i −1.01536 0.737700i −0.0500312 0.998748i \(-0.515932\pi\)
−0.965326 + 0.261047i \(0.915932\pi\)
\(4\) 0.309017 0.951057i 0.154508 0.475528i
\(5\) 1.89927 0.849378 0.424689 0.905339i \(-0.360383\pi\)
0.424689 + 0.905339i \(0.360383\pi\)
\(6\) −2.17381 −0.887455
\(7\) −0.500000 + 1.53884i −0.188982 + 0.581628i −0.999994 0.00340203i \(-0.998917\pi\)
0.811012 + 0.585030i \(0.198917\pi\)
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) 0.533195 + 1.64101i 0.177732 + 0.547002i
\(10\) 1.53654 1.11636i 0.485896 0.353024i
\(11\) −1.87668 + 5.77584i −0.565842 + 1.74148i 0.0995961 + 0.995028i \(0.468245\pi\)
−0.665438 + 0.746453i \(0.731755\pi\)
\(12\) −1.75865 + 1.27773i −0.507679 + 0.368850i
\(13\) 1.34015 + 0.973673i 0.371689 + 0.270048i 0.757911 0.652358i \(-0.226220\pi\)
−0.386222 + 0.922406i \(0.626220\pi\)
\(14\) 0.500000 + 1.53884i 0.133631 + 0.411273i
\(15\) −3.34015 2.42676i −0.862422 0.626586i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) −0.586906 1.80631i −0.142346 0.438094i 0.854315 0.519756i \(-0.173977\pi\)
−0.996660 + 0.0816618i \(0.973977\pi\)
\(18\) 1.39592 + 1.01420i 0.329022 + 0.239049i
\(19\) 3.12344 2.26932i 0.716567 0.520617i −0.168718 0.985664i \(-0.553963\pi\)
0.885286 + 0.465048i \(0.153963\pi\)
\(20\) 0.586906 1.80631i 0.131236 0.403903i
\(21\) 2.84556 2.06742i 0.620951 0.451147i
\(22\) 1.87668 + 5.77584i 0.400110 + 1.23141i
\(23\) −2.88403 8.87614i −0.601362 1.85080i −0.520091 0.854111i \(-0.674102\pi\)
−0.0812718 0.996692i \(-0.525898\pi\)
\(24\) −0.671745 + 2.06742i −0.137119 + 0.422010i
\(25\) −1.39279 −0.278557
\(26\) 1.65651 0.324868
\(27\) −0.856169 + 2.63502i −0.164770 + 0.507109i
\(28\) 1.30902 + 0.951057i 0.247381 + 0.179733i
\(29\) −7.89064 + 5.73289i −1.46526 + 1.06457i −0.483300 + 0.875455i \(0.660562\pi\)
−0.981955 + 0.189116i \(0.939438\pi\)
\(30\) −4.12865 −0.753784
\(31\) 5.42912 1.23478i 0.975098 0.221773i
\(32\) −1.00000 −0.176777
\(33\) 10.6804 7.75978i 1.85922 1.35080i
\(34\) −1.53654 1.11636i −0.263514 0.191454i
\(35\) −0.949633 + 2.92267i −0.160517 + 0.494021i
\(36\) 1.72546 0.287576
\(37\) −0.864666 −0.142150 −0.0710751 0.997471i \(-0.522643\pi\)
−0.0710751 + 0.997471i \(0.522643\pi\)
\(38\) 1.19305 3.67183i 0.193538 0.595649i
\(39\) −1.11275 3.42470i −0.178183 0.548391i
\(40\) −0.586906 1.80631i −0.0927979 0.285603i
\(41\) −3.03654 + 2.20617i −0.474228 + 0.344547i −0.799087 0.601216i \(-0.794683\pi\)
0.324859 + 0.945762i \(0.394683\pi\)
\(42\) 1.08691 3.34515i 0.167713 0.516168i
\(43\) 5.63533 4.09431i 0.859380 0.624376i −0.0683359 0.997662i \(-0.521769\pi\)
0.927716 + 0.373286i \(0.121769\pi\)
\(44\) 4.91322 + 3.56967i 0.740696 + 0.538147i
\(45\) 1.01268 + 3.11671i 0.150961 + 0.464611i
\(46\) −7.55050 5.48576i −1.11326 0.808831i
\(47\) −1.50000 1.08981i −0.218797 0.158966i 0.472988 0.881069i \(-0.343175\pi\)
−0.691785 + 0.722103i \(0.743175\pi\)
\(48\) 0.671745 + 2.06742i 0.0969580 + 0.298406i
\(49\) 3.54508 + 2.57565i 0.506441 + 0.367951i
\(50\) −1.12679 + 0.818660i −0.159352 + 0.115776i
\(51\) −1.27582 + 3.92658i −0.178651 + 0.549831i
\(52\) 1.34015 0.973673i 0.185845 0.135024i
\(53\) −0.492652 1.51623i −0.0676709 0.208270i 0.911503 0.411294i \(-0.134923\pi\)
−0.979174 + 0.203024i \(0.934923\pi\)
\(54\) 0.856169 + 2.63502i 0.116510 + 0.358580i
\(55\) −3.56432 + 10.9699i −0.480613 + 1.47918i
\(56\) 1.61803 0.216219
\(57\) −8.39263 −1.11163
\(58\) −3.01396 + 9.27600i −0.395752 + 1.21800i
\(59\) −1.07815 0.783323i −0.140363 0.101980i 0.515388 0.856957i \(-0.327648\pi\)
−0.655751 + 0.754977i \(0.727648\pi\)
\(60\) −3.34015 + 2.42676i −0.431211 + 0.313293i
\(61\) 4.11155 0.526431 0.263215 0.964737i \(-0.415217\pi\)
0.263215 + 0.964737i \(0.415217\pi\)
\(62\) 3.66646 4.19011i 0.465641 0.532145i
\(63\) −2.79185 −0.351739
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 2.54529 + 1.84926i 0.315705 + 0.229373i
\(66\) 4.07956 12.5556i 0.502159 1.54549i
\(67\) −6.86079 −0.838179 −0.419089 0.907945i \(-0.637651\pi\)
−0.419089 + 0.907945i \(0.637651\pi\)
\(68\) −1.89927 −0.230320
\(69\) −6.26934 + 19.2951i −0.754740 + 2.32285i
\(70\) 0.949633 + 2.92267i 0.113503 + 0.349326i
\(71\) 0.694247 + 2.13667i 0.0823920 + 0.253577i 0.983763 0.179470i \(-0.0574384\pi\)
−0.901371 + 0.433047i \(0.857438\pi\)
\(72\) 1.39592 1.01420i 0.164511 0.119524i
\(73\) 2.02993 6.24748i 0.237585 0.731213i −0.759183 0.650878i \(-0.774401\pi\)
0.996768 0.0803349i \(-0.0255990\pi\)
\(74\) −0.699529 + 0.508238i −0.0813186 + 0.0590814i
\(75\) 2.44943 + 1.77961i 0.282835 + 0.205492i
\(76\) −1.19305 3.67183i −0.136852 0.421188i
\(77\) −7.94976 5.77584i −0.905959 0.658218i
\(78\) −2.91322 2.11658i −0.329858 0.239656i
\(79\) 1.14062 + 3.51046i 0.128329 + 0.394957i 0.994493 0.104803i \(-0.0334213\pi\)
−0.866164 + 0.499761i \(0.833421\pi\)
\(80\) −1.53654 1.11636i −0.171790 0.124813i
\(81\) 9.06032 6.58271i 1.00670 0.731412i
\(82\) −1.15985 + 3.56967i −0.128085 + 0.394204i
\(83\) 6.35410 4.61653i 0.697453 0.506729i −0.181649 0.983364i \(-0.558143\pi\)
0.879102 + 0.476634i \(0.158143\pi\)
\(84\) −1.08691 3.34515i −0.118591 0.364986i
\(85\) −1.11469 3.43066i −0.120905 0.372108i
\(86\) 2.15251 6.62473i 0.232111 0.714363i
\(87\) 21.2020 2.27309
\(88\) 6.07308 0.647392
\(89\) 3.50748 10.7949i 0.371792 1.14426i −0.573826 0.818977i \(-0.694541\pi\)
0.945618 0.325280i \(-0.105459\pi\)
\(90\) 2.65123 + 1.92623i 0.279464 + 0.203043i
\(91\) −2.16840 + 1.57544i −0.227310 + 0.165151i
\(92\) −9.33293 −0.973025
\(93\) −11.1256 4.76542i −1.15368 0.494151i
\(94\) −1.85410 −0.191236
\(95\) 5.93225 4.31003i 0.608636 0.442200i
\(96\) 1.75865 + 1.27773i 0.179491 + 0.130408i
\(97\) 3.43774 10.5803i 0.349050 1.07427i −0.610330 0.792147i \(-0.708963\pi\)
0.959380 0.282118i \(-0.0910369\pi\)
\(98\) 4.38197 0.442645
\(99\) −10.4788 −1.05316
\(100\) −0.430395 + 1.32462i −0.0430395 + 0.132462i
\(101\) 4.50863 + 13.8761i 0.448625 + 1.38073i 0.878459 + 0.477818i \(0.158572\pi\)
−0.429834 + 0.902908i \(0.641428\pi\)
\(102\) 1.27582 + 3.92658i 0.126325 + 0.388789i
\(103\) −5.75023 + 4.17779i −0.566587 + 0.411650i −0.833864 0.551970i \(-0.813876\pi\)
0.267277 + 0.963620i \(0.413876\pi\)
\(104\) 0.511890 1.57544i 0.0501949 0.154484i
\(105\) 5.40447 3.92658i 0.527422 0.383195i
\(106\) −1.28978 0.937079i −0.125274 0.0910172i
\(107\) 2.69552 + 8.29597i 0.260586 + 0.802002i 0.992677 + 0.120795i \(0.0385445\pi\)
−0.732091 + 0.681207i \(0.761456\pi\)
\(108\) 2.24148 + 1.62853i 0.215686 + 0.156705i
\(109\) 0.194327 + 0.141187i 0.0186131 + 0.0135232i 0.597053 0.802202i \(-0.296338\pi\)
−0.578440 + 0.815725i \(0.696338\pi\)
\(110\) 3.56432 + 10.9699i 0.339845 + 1.04594i
\(111\) 1.52064 + 1.10481i 0.144333 + 0.104864i
\(112\) 1.30902 0.951057i 0.123690 0.0898664i
\(113\) −2.06519 + 6.35601i −0.194277 + 0.597923i 0.805707 + 0.592314i \(0.201785\pi\)
−0.999984 + 0.00560910i \(0.998215\pi\)
\(114\) −6.78978 + 4.93306i −0.635921 + 0.462024i
\(115\) −5.47755 16.8582i −0.510784 1.57203i
\(116\) 3.01396 + 9.27600i 0.279839 + 0.861255i
\(117\) −0.883243 + 2.71834i −0.0816559 + 0.251311i
\(118\) −1.33267 −0.122682
\(119\) 3.07308 0.281709
\(120\) −1.27582 + 3.92658i −0.116466 + 0.358446i
\(121\) −20.9392 15.2132i −1.90356 1.38302i
\(122\) 3.32632 2.41671i 0.301151 0.218799i
\(123\) 8.15911 0.735683
\(124\) 0.503344 5.54497i 0.0452016 0.497953i
\(125\) −12.1416 −1.08598
\(126\) −2.25865 + 1.64101i −0.201217 + 0.146192i
\(127\) 0.367930 + 0.267317i 0.0326485 + 0.0237205i 0.603990 0.796992i \(-0.293577\pi\)
−0.571341 + 0.820713i \(0.693577\pi\)
\(128\) −0.309017 + 0.951057i −0.0273135 + 0.0840623i
\(129\) −15.1420 −1.33318
\(130\) 3.14616 0.275936
\(131\) 5.19565 15.9906i 0.453946 1.39710i −0.418421 0.908253i \(-0.637416\pi\)
0.872368 0.488850i \(-0.162584\pi\)
\(132\) −4.07956 12.5556i −0.355080 1.09282i
\(133\) 1.93039 + 5.94114i 0.167386 + 0.515163i
\(134\) −5.55050 + 4.03267i −0.479490 + 0.348370i
\(135\) −1.62609 + 5.00460i −0.139952 + 0.430727i
\(136\) −1.53654 + 1.11636i −0.131757 + 0.0957271i
\(137\) 15.6879 + 11.3979i 1.34031 + 0.973790i 0.999433 + 0.0336817i \(0.0107232\pi\)
0.340875 + 0.940109i \(0.389277\pi\)
\(138\) 6.26934 + 19.2951i 0.533682 + 1.64250i
\(139\) 8.76753 + 6.36999i 0.743652 + 0.540295i 0.893853 0.448360i \(-0.147992\pi\)
−0.150200 + 0.988656i \(0.547992\pi\)
\(140\) 2.48617 + 1.80631i 0.210120 + 0.152661i
\(141\) 1.24548 + 3.83320i 0.104889 + 0.322814i
\(142\) 1.81756 + 1.32054i 0.152527 + 0.110817i
\(143\) −8.13881 + 5.91319i −0.680601 + 0.494486i
\(144\) 0.533195 1.64101i 0.0444329 0.136750i
\(145\) −14.9864 + 10.8883i −1.24456 + 0.904222i
\(146\) −2.02993 6.24748i −0.167998 0.517045i
\(147\) −2.94356 9.05935i −0.242781 0.747203i
\(148\) −0.267196 + 0.822346i −0.0219634 + 0.0675964i
\(149\) 3.18677 0.261070 0.130535 0.991444i \(-0.458330\pi\)
0.130535 + 0.991444i \(0.458330\pi\)
\(150\) 3.02766 0.247207
\(151\) −1.66039 + 5.11016i −0.135121 + 0.415859i −0.995609 0.0936117i \(-0.970159\pi\)
0.860488 + 0.509471i \(0.170159\pi\)
\(152\) −3.12344 2.26932i −0.253345 0.184066i
\(153\) 2.65123 1.92623i 0.214339 0.155727i
\(154\) −9.82645 −0.791838
\(155\) 10.3113 2.34518i 0.828227 0.188369i
\(156\) −3.60094 −0.288306
\(157\) −5.16646 + 3.75365i −0.412329 + 0.299574i −0.774544 0.632520i \(-0.782021\pi\)
0.362215 + 0.932094i \(0.382021\pi\)
\(158\) 2.98617 + 2.16958i 0.237567 + 0.172603i
\(159\) −1.07093 + 3.29599i −0.0849304 + 0.261389i
\(160\) −1.89927 −0.150150
\(161\) 15.1010 1.19012
\(162\) 3.46073 10.6510i 0.271901 0.836825i
\(163\) 5.11610 + 15.7457i 0.400724 + 1.23330i 0.924414 + 0.381391i \(0.124555\pi\)
−0.523690 + 0.851909i \(0.675445\pi\)
\(164\) 1.15985 + 3.56967i 0.0905694 + 0.278744i
\(165\) 20.2850 14.7379i 1.57918 1.14734i
\(166\) 2.42705 7.46969i 0.188376 0.579761i
\(167\) −2.14603 + 1.55918i −0.166065 + 0.120653i −0.667714 0.744418i \(-0.732727\pi\)
0.501649 + 0.865071i \(0.332727\pi\)
\(168\) −2.84556 2.06742i −0.219539 0.159505i
\(169\) −3.16927 9.75401i −0.243790 0.750308i
\(170\) −2.91830 2.12027i −0.223823 0.162617i
\(171\) 5.38936 + 3.91560i 0.412135 + 0.299434i
\(172\) −2.15251 6.62473i −0.164127 0.505131i
\(173\) −2.63868 1.91711i −0.200615 0.145755i 0.482942 0.875652i \(-0.339568\pi\)
−0.683557 + 0.729897i \(0.739568\pi\)
\(174\) 17.1528 12.4622i 1.30035 0.944758i
\(175\) 0.696393 2.14328i 0.0526424 0.162017i
\(176\) 4.91322 3.56967i 0.370348 0.269074i
\(177\) 0.895213 + 2.75518i 0.0672883 + 0.207092i
\(178\) −3.50748 10.7949i −0.262897 0.809112i
\(179\) 0.464738 1.43032i 0.0347362 0.106907i −0.932185 0.361982i \(-0.882100\pi\)
0.966921 + 0.255075i \(0.0821002\pi\)
\(180\) 3.27710 0.244261
\(181\) −15.9657 −1.18672 −0.593359 0.804938i \(-0.702199\pi\)
−0.593359 + 0.804938i \(0.702199\pi\)
\(182\) −0.828255 + 2.54911i −0.0613944 + 0.188952i
\(183\) −7.23079 5.25347i −0.534515 0.388348i
\(184\) −7.55050 + 5.48576i −0.556630 + 0.404415i
\(185\) −1.64223 −0.120739
\(186\) −11.8019 + 2.68418i −0.865356 + 0.196814i
\(187\) 11.5344 0.843478
\(188\) −1.50000 + 1.08981i −0.109399 + 0.0794828i
\(189\) −3.62679 2.63502i −0.263810 0.191669i
\(190\) 2.26592 6.97378i 0.164387 0.505931i
\(191\) −19.9830 −1.44592 −0.722960 0.690890i \(-0.757219\pi\)
−0.722960 + 0.690890i \(0.757219\pi\)
\(192\) 2.17381 0.156881
\(193\) 3.85097 11.8521i 0.277199 0.853130i −0.711431 0.702756i \(-0.751952\pi\)
0.988629 0.150373i \(-0.0480476\pi\)
\(194\) −3.43774 10.5803i −0.246816 0.759620i
\(195\) −2.11341 6.50442i −0.151345 0.465791i
\(196\) 3.54508 2.57565i 0.253220 0.183975i
\(197\) −3.44356 + 10.5982i −0.245344 + 0.755090i 0.750236 + 0.661170i \(0.229940\pi\)
−0.995580 + 0.0939201i \(0.970060\pi\)
\(198\) −8.47755 + 6.15930i −0.602473 + 0.437722i
\(199\) 11.7224 + 8.51680i 0.830977 + 0.603740i 0.919835 0.392304i \(-0.128322\pi\)
−0.0888588 + 0.996044i \(0.528322\pi\)
\(200\) 0.430395 + 1.32462i 0.0304335 + 0.0936647i
\(201\) 12.0657 + 8.76627i 0.851051 + 0.618325i
\(202\) 11.8037 + 8.57592i 0.830508 + 0.603399i
\(203\) −4.87668 15.0089i −0.342276 1.05342i
\(204\) 3.34015 + 2.42676i 0.233857 + 0.169907i
\(205\) −5.76720 + 4.19011i −0.402798 + 0.292650i
\(206\) −2.19639 + 6.75980i −0.153030 + 0.470978i
\(207\) 13.0280 9.46543i 0.905512 0.657893i
\(208\) −0.511890 1.57544i −0.0354932 0.109237i
\(209\) 7.24548 + 22.2993i 0.501181 + 1.54248i
\(210\) 2.06432 6.35333i 0.142452 0.438422i
\(211\) −12.3395 −0.849483 −0.424742 0.905315i \(-0.639635\pi\)
−0.424742 + 0.905315i \(0.639635\pi\)
\(212\) −1.59425 −0.109494
\(213\) 1.50916 4.64473i 0.103406 0.318251i
\(214\) 7.05697 + 5.12719i 0.482405 + 0.350488i
\(215\) 10.7030 7.77619i 0.729939 0.530331i
\(216\) 2.77062 0.188517
\(217\) −0.814427 + 8.97194i −0.0552869 + 0.609055i
\(218\) 0.240201 0.0162685
\(219\) −11.5526 + 8.39343i −0.780650 + 0.567175i
\(220\) 9.33152 + 6.77975i 0.629131 + 0.457090i
\(221\) 0.972215 2.99217i 0.0653983 0.201275i
\(222\) 1.87962 0.126152
\(223\) −21.8887 −1.46578 −0.732888 0.680349i \(-0.761828\pi\)
−0.732888 + 0.680349i \(0.761828\pi\)
\(224\) 0.500000 1.53884i 0.0334077 0.102818i
\(225\) −0.742627 2.28557i −0.0495085 0.152371i
\(226\) 2.06519 + 6.35601i 0.137375 + 0.422795i
\(227\) −4.09351 + 2.97411i −0.271696 + 0.197399i −0.715287 0.698830i \(-0.753704\pi\)
0.443591 + 0.896229i \(0.353704\pi\)
\(228\) −2.59346 + 7.98186i −0.171756 + 0.528612i
\(229\) 18.1062 13.1549i 1.19649 0.869302i 0.202556 0.979271i \(-0.435075\pi\)
0.993935 + 0.109969i \(0.0350752\pi\)
\(230\) −14.3404 10.4189i −0.945578 0.687003i
\(231\) 6.60086 + 20.3154i 0.434305 + 1.33665i
\(232\) 7.89064 + 5.73289i 0.518046 + 0.376382i
\(233\) 0.225584 + 0.163896i 0.0147785 + 0.0107372i 0.595150 0.803615i \(-0.297093\pi\)
−0.580371 + 0.814352i \(0.697093\pi\)
\(234\) 0.883243 + 2.71834i 0.0577394 + 0.177704i
\(235\) −2.84890 2.06985i −0.185842 0.135022i
\(236\) −1.07815 + 0.783323i −0.0701817 + 0.0509900i
\(237\) 2.47948 7.63107i 0.161060 0.495691i
\(238\) 2.48617 1.80631i 0.161155 0.117086i
\(239\) −2.41309 7.42674i −0.156090 0.480396i 0.842180 0.539197i \(-0.181272\pi\)
−0.998270 + 0.0588012i \(0.981272\pi\)
\(240\) 1.27582 + 3.92658i 0.0823540 + 0.253459i
\(241\) −4.79263 + 14.7502i −0.308721 + 0.950145i 0.669542 + 0.742774i \(0.266491\pi\)
−0.978263 + 0.207370i \(0.933509\pi\)
\(242\) −25.8823 −1.66378
\(243\) −16.0330 −1.02852
\(244\) 1.27054 3.91032i 0.0813380 0.250333i
\(245\) 6.73306 + 4.89186i 0.430159 + 0.312529i
\(246\) 6.60086 4.79581i 0.420856 0.305769i
\(247\) 6.39544 0.406932
\(248\) −2.85204 4.78183i −0.181104 0.303646i
\(249\) −17.0733 −1.08198
\(250\) −9.82277 + 7.13666i −0.621246 + 0.451362i
\(251\) −12.0230 8.73520i −0.758883 0.551361i 0.139685 0.990196i \(-0.455391\pi\)
−0.898568 + 0.438835i \(0.855391\pi\)
\(252\) −0.862728 + 2.65520i −0.0543467 + 0.167262i
\(253\) 56.6796 3.56341
\(254\) 0.454786 0.0285358
\(255\) −2.42313 + 7.45761i −0.151742 + 0.467014i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 0.411817 + 1.26744i 0.0256884 + 0.0790609i 0.963079 0.269219i \(-0.0867657\pi\)
−0.937390 + 0.348280i \(0.886766\pi\)
\(258\) −12.2502 + 8.90026i −0.762661 + 0.554106i
\(259\) 0.432333 1.33058i 0.0268639 0.0826784i
\(260\) 2.54529 1.84926i 0.157852 0.114686i
\(261\) −13.6149 9.89184i −0.842744 0.612289i
\(262\) −5.19565 15.9906i −0.320989 0.987901i
\(263\) −11.1614 8.10922i −0.688241 0.500036i 0.187841 0.982200i \(-0.439851\pi\)
−0.876081 + 0.482163i \(0.839851\pi\)
\(264\) −10.6804 7.75978i −0.657334 0.477581i
\(265\) −0.935677 2.87972i −0.0574782 0.176900i
\(266\) 5.05384 + 3.67183i 0.309871 + 0.225134i
\(267\) −19.9614 + 14.5028i −1.22162 + 0.887559i
\(268\) −2.12010 + 6.52500i −0.129506 + 0.398578i
\(269\) 1.12472 0.817158i 0.0685755 0.0498230i −0.552969 0.833202i \(-0.686505\pi\)
0.621545 + 0.783379i \(0.286505\pi\)
\(270\) 1.62609 + 5.00460i 0.0989608 + 0.304570i
\(271\) 1.20630 + 3.71260i 0.0732773 + 0.225524i 0.980987 0.194075i \(-0.0621706\pi\)
−0.907709 + 0.419599i \(0.862171\pi\)
\(272\) −0.586906 + 1.80631i −0.0355864 + 0.109524i
\(273\) 5.82645 0.352633
\(274\) 19.3913 1.17147
\(275\) 2.61382 8.04451i 0.157619 0.485102i
\(276\) 16.4134 + 11.9250i 0.987968 + 0.717801i
\(277\) 5.88730 4.27737i 0.353733 0.257002i −0.396700 0.917948i \(-0.629845\pi\)
0.750434 + 0.660946i \(0.229845\pi\)
\(278\) 10.8373 0.649976
\(279\) 4.92106 + 8.25083i 0.294616 + 0.493964i
\(280\) 3.07308 0.183652
\(281\) 12.3703 8.98757i 0.737952 0.536154i −0.154117 0.988053i \(-0.549253\pi\)
0.892069 + 0.451899i \(0.149253\pi\)
\(282\) 3.26072 + 2.36905i 0.194173 + 0.141075i
\(283\) −5.62824 + 17.3219i −0.334564 + 1.02968i 0.632372 + 0.774665i \(0.282081\pi\)
−0.966936 + 0.255018i \(0.917919\pi\)
\(284\) 2.24663 0.133313
\(285\) −15.9398 −0.944194
\(286\) −3.10875 + 9.56774i −0.183824 + 0.565752i
\(287\) −1.87668 5.77584i −0.110777 0.340937i
\(288\) −0.533195 1.64101i −0.0314188 0.0966972i
\(289\) 10.8350 7.87208i 0.637352 0.463064i
\(290\) −5.72431 + 17.6176i −0.336143 + 1.03454i
\(291\) −19.5646 + 14.2145i −1.14690 + 0.833269i
\(292\) −5.31443 3.86116i −0.311003 0.225957i
\(293\) −7.94027 24.4376i −0.463875 1.42766i −0.860391 0.509634i \(-0.829781\pi\)
0.396516 0.918028i \(-0.370219\pi\)
\(294\) −7.70635 5.59899i −0.449443 0.326540i
\(295\) −2.04770 1.48774i −0.119222 0.0866195i
\(296\) 0.267196 + 0.822346i 0.0155305 + 0.0477979i
\(297\) −13.6127 9.89019i −0.789887 0.573887i
\(298\) 2.57815 1.87314i 0.149348 0.108508i
\(299\) 4.77743 14.7034i 0.276286 0.850321i
\(300\) 2.44943 1.77961i 0.141418 0.102746i
\(301\) 3.48283 + 10.7190i 0.200747 + 0.617835i
\(302\) 1.66039 + 5.11016i 0.0955448 + 0.294057i
\(303\) 9.80090 30.1641i 0.563047 1.73288i
\(304\) −3.86079 −0.221431
\(305\) 7.80894 0.447138
\(306\) 1.01268 3.11671i 0.0578910 0.178170i
\(307\) 19.4980 + 14.1661i 1.11281 + 0.808503i 0.983104 0.183050i \(-0.0585970\pi\)
0.129705 + 0.991553i \(0.458597\pi\)
\(308\) −7.94976 + 5.77584i −0.452980 + 0.329109i
\(309\) 15.4508 0.878963
\(310\) 6.96359 7.95814i 0.395505 0.451992i
\(311\) 20.6382 1.17028 0.585142 0.810931i \(-0.301039\pi\)
0.585142 + 0.810931i \(0.301039\pi\)
\(312\) −2.91322 + 2.11658i −0.164929 + 0.119828i
\(313\) 8.02090 + 5.82753i 0.453368 + 0.329391i 0.790924 0.611914i \(-0.209600\pi\)
−0.337556 + 0.941305i \(0.609600\pi\)
\(314\) −1.97341 + 6.07354i −0.111366 + 0.342750i
\(315\) −5.30246 −0.298760
\(316\) 3.69111 0.207641
\(317\) −4.11130 + 12.6533i −0.230914 + 0.710679i 0.766724 + 0.641977i \(0.221886\pi\)
−0.997637 + 0.0687019i \(0.978114\pi\)
\(318\) 1.07093 + 3.29599i 0.0600549 + 0.184830i
\(319\) −18.3040 56.3339i −1.02483 3.15409i
\(320\) −1.53654 + 1.11636i −0.0858951 + 0.0624065i
\(321\) 5.85956 18.0339i 0.327049 1.00655i
\(322\) 12.2170 8.87614i 0.680824 0.494648i
\(323\) −5.93225 4.31003i −0.330079 0.239817i
\(324\) −3.46073 10.6510i −0.192263 0.591725i
\(325\) −1.86654 1.35612i −0.103537 0.0752239i
\(326\) 13.3941 + 9.73139i 0.741831 + 0.538972i
\(327\) −0.161354 0.496596i −0.00892289 0.0274618i
\(328\) 3.03654 + 2.20617i 0.167665 + 0.121816i
\(329\) 2.42705 1.76336i 0.133808 0.0972169i
\(330\) 7.74817 23.8464i 0.426523 1.31270i
\(331\) 15.4639 11.2352i 0.849974 0.617542i −0.0751647 0.997171i \(-0.523948\pi\)
0.925139 + 0.379629i \(0.123948\pi\)
\(332\) −2.42705 7.46969i −0.133202 0.409953i
\(333\) −0.461035 1.41892i −0.0252646 0.0777564i
\(334\) −0.819709 + 2.52281i −0.0448525 + 0.138042i
\(335\) −13.0305 −0.711931
\(336\) −3.51730 −0.191884
\(337\) −6.41850 + 19.7541i −0.349638 + 1.07608i 0.609415 + 0.792851i \(0.291404\pi\)
−0.959054 + 0.283225i \(0.908596\pi\)
\(338\) −8.29726 6.02831i −0.451311 0.327897i
\(339\) 11.7532 8.53923i 0.638348 0.463787i
\(340\) −3.60721 −0.195629
\(341\) −3.05685 + 33.6750i −0.165538 + 1.82360i
\(342\) 6.66162 0.360219
\(343\) −14.8992 + 10.8249i −0.804480 + 0.584489i
\(344\) −5.63533 4.09431i −0.303837 0.220750i
\(345\) −11.9072 + 36.6464i −0.641060 + 1.97298i
\(346\) −3.26159 −0.175344
\(347\) 25.5798 1.37320 0.686598 0.727037i \(-0.259103\pi\)
0.686598 + 0.727037i \(0.259103\pi\)
\(348\) 6.55177 20.1643i 0.351212 1.08092i
\(349\) 0.149083 + 0.458830i 0.00798022 + 0.0245606i 0.954967 0.296711i \(-0.0958898\pi\)
−0.946987 + 0.321272i \(0.895890\pi\)
\(350\) −0.696393 2.14328i −0.0372238 0.114563i
\(351\) −3.71303 + 2.69768i −0.198187 + 0.143991i
\(352\) 1.87668 5.77584i 0.100028 0.307853i
\(353\) −14.8380 + 10.7804i −0.789747 + 0.573785i −0.907888 0.419212i \(-0.862306\pi\)
0.118141 + 0.992997i \(0.462306\pi\)
\(354\) 2.34370 + 1.70280i 0.124566 + 0.0905026i
\(355\) 1.31856 + 4.05811i 0.0699819 + 0.215382i
\(356\) −9.18269 6.67162i −0.486682 0.353595i
\(357\) −5.40447 3.92658i −0.286035 0.207816i
\(358\) −0.464738 1.43032i −0.0245622 0.0755946i
\(359\) 7.57308 + 5.50216i 0.399692 + 0.290393i 0.769415 0.638749i \(-0.220548\pi\)
−0.369724 + 0.929142i \(0.620548\pi\)
\(360\) 2.65123 1.92623i 0.139732 0.101521i
\(361\) −1.26521 + 3.89391i −0.0665900 + 0.204943i
\(362\) −12.9165 + 9.38438i −0.678876 + 0.493232i
\(363\) 17.3863 + 53.5095i 0.912543 + 2.80852i
\(364\) 0.828255 + 2.54911i 0.0434124 + 0.133610i
\(365\) 3.85538 11.8656i 0.201800 0.621076i
\(366\) −8.93774 −0.467183
\(367\) −1.27429 −0.0665173 −0.0332586 0.999447i \(-0.510589\pi\)
−0.0332586 + 0.999447i \(0.510589\pi\)
\(368\) −2.88403 + 8.87614i −0.150341 + 0.462701i
\(369\) −5.23941 3.80666i −0.272753 0.198167i
\(370\) −1.32859 + 0.965279i −0.0690702 + 0.0501825i
\(371\) 2.57956 0.133924
\(372\) −7.97020 + 9.10852i −0.413236 + 0.472255i
\(373\) −14.8187 −0.767283 −0.383641 0.923482i \(-0.625330\pi\)
−0.383641 + 0.923482i \(0.625330\pi\)
\(374\) 9.33152 6.77975i 0.482521 0.350572i
\(375\) 21.3528 + 15.5137i 1.10266 + 0.801126i
\(376\) −0.572949 + 1.76336i −0.0295476 + 0.0909381i
\(377\) −16.1566 −0.832105
\(378\) −4.48296 −0.230578
\(379\) −4.36397 + 13.4309i −0.224162 + 0.689901i 0.774213 + 0.632925i \(0.218146\pi\)
−0.998376 + 0.0569758i \(0.981854\pi\)
\(380\) −2.26592 6.97378i −0.116239 0.357747i
\(381\) −0.305500 0.940233i −0.0156513 0.0481696i
\(382\) −16.1666 + 11.7457i −0.827155 + 0.600963i
\(383\) −5.41309 + 16.6598i −0.276596 + 0.851276i 0.712196 + 0.701980i \(0.247701\pi\)
−0.988793 + 0.149295i \(0.952299\pi\)
\(384\) 1.75865 1.27773i 0.0897457 0.0652041i
\(385\) −15.0987 10.9699i −0.769502 0.559076i
\(386\) −3.85097 11.8521i −0.196009 0.603254i
\(387\) 9.72352 + 7.06455i 0.494274 + 0.359111i
\(388\) −9.00013 6.53898i −0.456912 0.331966i
\(389\) −0.398729 1.22716i −0.0202164 0.0622196i 0.940439 0.339961i \(-0.110414\pi\)
−0.960656 + 0.277742i \(0.910414\pi\)
\(390\) −5.53299 4.01995i −0.280174 0.203558i
\(391\) −14.3404 + 10.4189i −0.725225 + 0.526907i
\(392\) 1.35410 4.16750i 0.0683925 0.210490i
\(393\) −29.5690 + 21.4832i −1.49156 + 1.08368i
\(394\) 3.44356 + 10.5982i 0.173484 + 0.533929i
\(395\) 2.16633 + 6.66729i 0.109000 + 0.335468i
\(396\) −3.23813 + 9.96595i −0.162722 + 0.500808i
\(397\) −22.5535 −1.13193 −0.565963 0.824430i \(-0.691496\pi\)
−0.565963 + 0.824430i \(0.691496\pi\)
\(398\) 14.4896 0.726300
\(399\) 4.19631 12.9149i 0.210078 0.646555i
\(400\) 1.12679 + 0.818660i 0.0563394 + 0.0409330i
\(401\) 6.37668 4.63293i 0.318436 0.231358i −0.417072 0.908874i \(-0.636944\pi\)
0.735508 + 0.677516i \(0.236944\pi\)
\(402\) 14.9141 0.743846
\(403\) 8.47808 + 3.63140i 0.422323 + 0.180893i
\(404\) 14.5902 0.725891
\(405\) 17.2080 12.5023i 0.855070 0.621245i
\(406\) −12.7673 9.27600i −0.633632 0.460360i
\(407\) 1.62270 4.99417i 0.0804345 0.247552i
\(408\) 4.12865 0.204398
\(409\) 35.3309 1.74700 0.873500 0.486824i \(-0.161845\pi\)
0.873500 + 0.486824i \(0.161845\pi\)
\(410\) −2.20287 + 6.77975i −0.108792 + 0.334828i
\(411\) −13.0260 40.0899i −0.642525 1.97749i
\(412\) 2.19639 + 6.75980i 0.108209 + 0.333032i
\(413\) 1.74449 1.26744i 0.0858405 0.0623668i
\(414\) 4.97627 15.3154i 0.244570 0.752710i
\(415\) 12.0681 8.76801i 0.592401 0.430405i
\(416\) −1.34015 0.973673i −0.0657060 0.0477382i
\(417\) −7.27988 22.4052i −0.356497 1.09719i
\(418\) 18.9689 + 13.7817i 0.927800 + 0.674086i
\(419\) −21.8178 15.8516i −1.06587 0.774400i −0.0907048 0.995878i \(-0.528912\pi\)
−0.975165 + 0.221478i \(0.928912\pi\)
\(420\) −2.06432 6.35333i −0.100729 0.310011i
\(421\) −3.06019 2.22336i −0.149145 0.108360i 0.510711 0.859753i \(-0.329382\pi\)
−0.659855 + 0.751393i \(0.729382\pi\)
\(422\) −9.98283 + 7.25295i −0.485956 + 0.353068i
\(423\) 0.988598 3.04259i 0.0480673 0.147936i
\(424\) −1.28978 + 0.937079i −0.0626372 + 0.0455086i
\(425\) 0.817434 + 2.51580i 0.0396514 + 0.122034i
\(426\) −1.50916 4.64473i −0.0731192 0.225038i
\(427\) −2.05578 + 6.32703i −0.0994860 + 0.306187i
\(428\) 8.72290 0.421637
\(429\) 21.8688 1.05584
\(430\) 4.08818 12.5821i 0.197150 0.606764i
\(431\) 5.30881 + 3.85708i 0.255716 + 0.185789i 0.708256 0.705955i \(-0.249482\pi\)
−0.452540 + 0.891744i \(0.649482\pi\)
\(432\) 2.24148 1.62853i 0.107843 0.0783527i
\(433\) −18.9340 −0.909908 −0.454954 0.890515i \(-0.650344\pi\)
−0.454954 + 0.890515i \(0.650344\pi\)
\(434\) 4.61469 + 7.73716i 0.221512 + 0.371396i
\(435\) 40.2682 1.93071
\(436\) 0.194327 0.141187i 0.00930657 0.00676162i
\(437\) −29.1509 21.1794i −1.39448 1.01315i
\(438\) −4.41269 + 13.5809i −0.210846 + 0.648918i
\(439\) 17.9417 0.856311 0.428156 0.903705i \(-0.359163\pi\)
0.428156 + 0.903705i \(0.359163\pi\)
\(440\) 11.5344 0.549881
\(441\) −2.33644 + 7.19083i −0.111259 + 0.342420i
\(442\) −0.972215 2.99217i −0.0462436 0.142323i
\(443\) 8.88457 + 27.3439i 0.422119 + 1.29915i 0.905726 + 0.423863i \(0.139326\pi\)
−0.483608 + 0.875285i \(0.660674\pi\)
\(444\) 1.52064 1.10481i 0.0721666 0.0524321i
\(445\) 6.66163 20.5024i 0.315792 0.971907i
\(446\) −17.7083 + 12.8659i −0.838514 + 0.609216i
\(447\) −5.60441 4.07185i −0.265080 0.192592i
\(448\) −0.500000 1.53884i −0.0236228 0.0727034i
\(449\) 16.2031 + 11.7723i 0.764673 + 0.555567i 0.900340 0.435187i \(-0.143318\pi\)
−0.135667 + 0.990754i \(0.543318\pi\)
\(450\) −1.94422 1.41256i −0.0916515 0.0665887i
\(451\) −7.04389 21.6789i −0.331684 1.02082i
\(452\) 5.40674 + 3.92823i 0.254312 + 0.184768i
\(453\) 9.44947 6.86544i 0.443975 0.322567i
\(454\) −1.56358 + 4.81221i −0.0733826 + 0.225848i
\(455\) −4.11837 + 2.99217i −0.193072 + 0.140275i
\(456\) 2.59346 + 7.98186i 0.121450 + 0.373785i
\(457\) −5.19879 16.0002i −0.243189 0.748459i −0.995929 0.0901410i \(-0.971268\pi\)
0.752740 0.658318i \(-0.228732\pi\)
\(458\) 6.91595 21.2851i 0.323161 0.994588i
\(459\) 5.26215 0.245616
\(460\) −17.7257 −0.826466
\(461\) −1.05251 + 3.23930i −0.0490204 + 0.150869i −0.972570 0.232609i \(-0.925274\pi\)
0.923550 + 0.383478i \(0.125274\pi\)
\(462\) 17.2813 + 12.5556i 0.803998 + 0.584139i
\(463\) −20.5873 + 14.9575i −0.956773 + 0.695136i −0.952399 0.304854i \(-0.901392\pi\)
−0.00437363 + 0.999990i \(0.501392\pi\)
\(464\) 9.75337 0.452789
\(465\) −21.1306 9.05081i −0.979906 0.419721i
\(466\) 0.278837 0.0129169
\(467\) −4.15263 + 3.01707i −0.192161 + 0.139613i −0.679706 0.733485i \(-0.737893\pi\)
0.487545 + 0.873098i \(0.337893\pi\)
\(468\) 2.31236 + 1.68003i 0.106889 + 0.0776593i
\(469\) 3.43039 10.5577i 0.158401 0.487508i
\(470\) −3.52143 −0.162432
\(471\) 13.8822 0.639657
\(472\) −0.411817 + 1.26744i −0.0189554 + 0.0583388i
\(473\) 13.0723 + 40.2325i 0.601067 + 1.84989i
\(474\) −2.47948 7.63107i −0.113886 0.350507i
\(475\) −4.35029 + 3.16067i −0.199605 + 0.145022i
\(476\) 0.949633 2.92267i 0.0435264 0.133960i
\(477\) 2.22546 1.61689i 0.101897 0.0740322i
\(478\) −6.31756 4.58998i −0.288959 0.209941i
\(479\) −1.48604 4.57357i −0.0678991 0.208972i 0.911350 0.411632i \(-0.135041\pi\)
−0.979249 + 0.202661i \(0.935041\pi\)
\(480\) 3.34015 + 2.42676i 0.152456 + 0.110766i
\(481\) −1.15878 0.841901i −0.0528357 0.0383874i
\(482\) 4.79263 + 14.7502i 0.218299 + 0.671854i
\(483\) −26.5574 19.2951i −1.20840 0.877955i
\(484\) −20.9392 + 15.2132i −0.951782 + 0.691510i
\(485\) 6.52919 20.0948i 0.296475 0.912457i
\(486\) −12.9710 + 9.42397i −0.588376 + 0.427480i
\(487\) −7.87235 24.2286i −0.356730 1.09790i −0.954999 0.296608i \(-0.904145\pi\)
0.598269 0.801295i \(-0.295855\pi\)
\(488\) −1.27054 3.91032i −0.0575147 0.177012i
\(489\) 11.1214 34.2282i 0.502928 1.54785i
\(490\) 8.32252 0.375973
\(491\) 27.6920 1.24972 0.624862 0.780735i \(-0.285155\pi\)
0.624862 + 0.780735i \(0.285155\pi\)
\(492\) 2.52131 7.75978i 0.113669 0.349838i
\(493\) 14.9864 + 10.8883i 0.674955 + 0.490383i
\(494\) 5.17402 3.75915i 0.232790 0.169132i
\(495\) −19.9021 −0.894532
\(496\) −5.11803 2.19220i −0.229807 0.0984326i
\(497\) −3.63513 −0.163058
\(498\) −13.8126 + 10.0355i −0.618958 + 0.449699i
\(499\) 0.423370 + 0.307597i 0.0189527 + 0.0137699i 0.597221 0.802077i \(-0.296271\pi\)
−0.578269 + 0.815846i \(0.696271\pi\)
\(500\) −3.75196 + 11.5474i −0.167793 + 0.516413i
\(501\) 5.76633 0.257621
\(502\) −14.8612 −0.663288
\(503\) 7.67422 23.6188i 0.342177 1.05311i −0.620901 0.783889i \(-0.713233\pi\)
0.963078 0.269222i \(-0.0867667\pi\)
\(504\) 0.862728 + 2.65520i 0.0384289 + 0.118272i
\(505\) 8.56308 + 26.3545i 0.381052 + 1.17276i
\(506\) 45.8547 33.3154i 2.03849 1.48105i
\(507\) −6.88939 + 21.2034i −0.305969 + 0.941675i
\(508\) 0.367930 0.267317i 0.0163242 0.0118603i
\(509\) −17.1770 12.4798i −0.761357 0.553158i 0.137969 0.990437i \(-0.455942\pi\)
−0.899326 + 0.437278i \(0.855942\pi\)
\(510\) 2.42313 + 7.45761i 0.107298 + 0.330229i
\(511\) 8.59892 + 6.24748i 0.380394 + 0.276372i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) 3.30549 + 10.1732i 0.145941 + 0.449160i
\(514\) 1.07815 + 0.783323i 0.0475552 + 0.0345509i
\(515\) −10.9212 + 7.93473i −0.481247 + 0.349646i
\(516\) −4.67914 + 14.4009i −0.205988 + 0.633965i
\(517\) 9.10962 6.61852i 0.400640 0.291082i
\(518\) −0.432333 1.33058i −0.0189956 0.0584625i
\(519\) 2.19095 + 6.74306i 0.0961721 + 0.295987i
\(520\) 0.972215 2.99217i 0.0426345 0.131215i
\(521\) 19.0563 0.834873 0.417437 0.908706i \(-0.362929\pi\)
0.417437 + 0.908706i \(0.362929\pi\)
\(522\) −16.8290 −0.736585
\(523\) 13.4949 41.5331i 0.590092 1.81612i 0.0123112 0.999924i \(-0.496081\pi\)
0.577781 0.816192i \(-0.303919\pi\)
\(524\) −13.6024 9.88272i −0.594223 0.431729i
\(525\) −3.96325 + 2.87947i −0.172971 + 0.125670i
\(526\) −13.7962 −0.601544
\(527\) −5.41678 9.08197i −0.235958 0.395617i
\(528\) −13.2017 −0.574531
\(529\) −51.8608 + 37.6791i −2.25482 + 1.63822i
\(530\) −2.44963 1.77976i −0.106405 0.0773080i
\(531\) 0.710572 2.18692i 0.0308362 0.0949041i
\(532\) 6.24689 0.270837
\(533\) −6.21750 −0.269310
\(534\) −7.62459 + 23.4661i −0.329948 + 1.01548i
\(535\) 5.11952 + 15.7563i 0.221336 + 0.681203i
\(536\) 2.12010 + 6.52500i 0.0915744 + 0.281837i
\(537\) −2.64488 + 1.92162i −0.114135 + 0.0829239i
\(538\) 0.429605 1.32219i 0.0185216 0.0570036i
\(539\) −21.5296 + 15.6422i −0.927345 + 0.673755i
\(540\) 4.25716 + 3.09301i 0.183199 + 0.133102i
\(541\) −7.71361 23.7401i −0.331634 1.02067i −0.968356 0.249572i \(-0.919710\pi\)
0.636722 0.771093i \(-0.280290\pi\)
\(542\) 3.15812 + 2.29451i 0.135653 + 0.0985577i
\(543\) 28.0780 + 20.3999i 1.20494 + 0.875442i
\(544\) 0.586906 + 1.80631i 0.0251634 + 0.0774449i
\(545\) 0.369078 + 0.268151i 0.0158096 + 0.0114863i
\(546\) 4.71369 3.42470i 0.201727 0.146564i
\(547\) −7.30267 + 22.4753i −0.312239 + 0.960974i 0.664636 + 0.747167i \(0.268586\pi\)
−0.976876 + 0.213807i \(0.931414\pi\)
\(548\) 15.6879 11.3979i 0.670154 0.486895i
\(549\) 2.19226 + 6.74708i 0.0935634 + 0.287958i
\(550\) −2.61382 8.04451i −0.111454 0.343019i
\(551\) −11.6363 + 35.8127i −0.495721 + 1.52567i
\(552\) 20.2880 0.863515
\(553\) −5.97234 −0.253970
\(554\) 2.24875 6.92093i 0.0955401 0.294042i
\(555\) 2.88811 + 2.09833i 0.122593 + 0.0890693i
\(556\) 8.76753 6.36999i 0.371826 0.270148i
\(557\) −3.16671 −0.134178 −0.0670888 0.997747i \(-0.521371\pi\)
−0.0670888 + 0.997747i \(0.521371\pi\)
\(558\) 8.83094 + 3.78254i 0.373843 + 0.160128i
\(559\) 11.5387 0.488034
\(560\) 2.48617 1.80631i 0.105060 0.0763305i
\(561\) −20.2850 14.7379i −0.856432 0.622234i
\(562\) 4.72505 14.5422i 0.199314 0.613426i
\(563\) 8.30875 0.350172 0.175086 0.984553i \(-0.443980\pi\)
0.175086 + 0.984553i \(0.443980\pi\)
\(564\) 4.03047 0.169713
\(565\) −3.92235 + 12.0718i −0.165015 + 0.507862i
\(566\) 5.62824 + 17.3219i 0.236573 + 0.728095i
\(567\) 5.59958 + 17.2338i 0.235160 + 0.723749i
\(568\) 1.81756 1.32054i 0.0762633 0.0554085i
\(569\) 8.86252 27.2760i 0.371536 1.14347i −0.574249 0.818680i \(-0.694706\pi\)
0.945786 0.324791i \(-0.105294\pi\)
\(570\) −12.8956 + 9.36920i −0.540137 + 0.392433i
\(571\) −34.7095 25.2179i −1.45255 1.05534i −0.985227 0.171251i \(-0.945219\pi\)
−0.467321 0.884088i \(-0.654781\pi\)
\(572\) 3.10875 + 9.56774i 0.129983 + 0.400047i
\(573\) 35.1431 + 25.5330i 1.46812 + 1.06666i
\(574\) −4.91322 3.56967i −0.205074 0.148995i
\(575\) 4.01684 + 12.3626i 0.167514 + 0.515555i
\(576\) −1.39592 1.01420i −0.0581634 0.0422582i
\(577\) 11.6647 8.47487i 0.485606 0.352813i −0.317886 0.948129i \(-0.602973\pi\)
0.803492 + 0.595316i \(0.202973\pi\)
\(578\) 4.13860 12.7373i 0.172143 0.529802i
\(579\) −21.9163 + 15.9231i −0.910809 + 0.661742i
\(580\) 5.72431 + 17.6176i 0.237689 + 0.731531i
\(581\) 3.92705 + 12.0862i 0.162922 + 0.501421i
\(582\) −7.47300 + 22.9995i −0.309766 + 0.953362i
\(583\) 9.68203 0.400989
\(584\) −6.56899 −0.271827
\(585\) −1.67751 + 5.16286i −0.0693567 + 0.213458i
\(586\) −20.7879 15.1033i −0.858740 0.623911i
\(587\) 27.1406 19.7188i 1.12021 0.813882i 0.135971 0.990713i \(-0.456585\pi\)
0.984241 + 0.176831i \(0.0565847\pi\)
\(588\) −9.52557 −0.392828
\(589\) 14.1554 16.1771i 0.583265 0.666568i
\(590\) −2.53109 −0.104203
\(591\) 19.5977 14.2386i 0.806142 0.585696i
\(592\) 0.699529 + 0.508238i 0.0287505 + 0.0208884i
\(593\) −4.13814 + 12.7359i −0.169933 + 0.523000i −0.999366 0.0356062i \(-0.988664\pi\)
0.829433 + 0.558607i \(0.188664\pi\)
\(594\) −16.8262 −0.690387
\(595\) 5.83659 0.239277
\(596\) 0.984766 3.03080i 0.0403376 0.124146i
\(597\) −9.73334 29.9561i −0.398359 1.22602i
\(598\) −4.77743 14.7034i −0.195364 0.601268i
\(599\) −33.3873 + 24.2573i −1.36417 + 0.991128i −0.366003 + 0.930614i \(0.619274\pi\)
−0.998167 + 0.0605137i \(0.980726\pi\)
\(600\) 0.935597 2.87947i 0.0381956 0.117554i
\(601\) −12.6935 + 9.22238i −0.517779 + 0.376189i −0.815767 0.578381i \(-0.803685\pi\)
0.297987 + 0.954570i \(0.403685\pi\)
\(602\) 9.11816 + 6.62473i 0.371629 + 0.270004i
\(603\) −3.65814 11.2586i −0.148971 0.458485i
\(604\) 4.34696 + 3.15825i 0.176875 + 0.128507i
\(605\) −39.7691 28.8940i −1.61684 1.17471i
\(606\) −9.80090 30.1641i −0.398134 1.22533i
\(607\) 7.41235 + 5.38539i 0.300858 + 0.218586i 0.727964 0.685615i \(-0.240467\pi\)
−0.427106 + 0.904202i \(0.640467\pi\)
\(608\) −3.12344 + 2.26932i −0.126672 + 0.0920329i
\(609\) −10.6010 + 32.6265i −0.429574 + 1.32209i
\(610\) 6.31756 4.58998i 0.255791 0.185843i
\(611\) −0.949096 2.92102i −0.0383963 0.118172i
\(612\) −1.01268 3.11671i −0.0409351 0.125985i
\(613\) −6.95075 + 21.3922i −0.280738 + 0.864023i 0.706906 + 0.707308i \(0.250091\pi\)
−0.987644 + 0.156715i \(0.949909\pi\)
\(614\) 24.1008 0.972630
\(615\) 15.4963 0.624872
\(616\) −3.03654 + 9.34551i −0.122346 + 0.376541i
\(617\) 0.598587 + 0.434899i 0.0240982 + 0.0175084i 0.599769 0.800173i \(-0.295259\pi\)
−0.575671 + 0.817681i \(0.695259\pi\)
\(618\) 12.4999 9.08172i 0.502821 0.365321i
\(619\) −14.3089 −0.575123 −0.287561 0.957762i \(-0.592845\pi\)
−0.287561 + 0.957762i \(0.592845\pi\)
\(620\) 0.955984 10.5314i 0.0383932 0.422950i
\(621\) 25.8580 1.03765
\(622\) 16.6967 12.1308i 0.669475 0.486402i
\(623\) 14.8579 + 10.7949i 0.595270 + 0.432489i
\(624\) −1.11275 + 3.42470i −0.0445457 + 0.137098i
\(625\) −16.0962 −0.643848
\(626\) 9.91438 0.396258
\(627\) 15.7503 48.4745i 0.629007 1.93588i
\(628\) 1.97341 + 6.07354i 0.0787478 + 0.242361i
\(629\) 0.507477 + 1.56185i 0.0202344 + 0.0622752i
\(630\) −4.28978 + 3.11671i −0.170909 + 0.124173i
\(631\) 1.44839 4.45767i 0.0576594 0.177457i −0.918079 0.396398i \(-0.870260\pi\)
0.975738 + 0.218941i \(0.0702601\pi\)
\(632\) 2.98617 2.16958i 0.118784 0.0863013i
\(633\) 21.7008 + 15.7665i 0.862529 + 0.626664i
\(634\) 4.11130 + 12.6533i 0.163281 + 0.502526i
\(635\) 0.698797 + 0.507706i 0.0277309 + 0.0201477i
\(636\) 2.80374 + 2.03703i 0.111175 + 0.0807736i
\(637\) 2.24308 + 6.90350i 0.0888742 + 0.273527i
\(638\) −47.9205 34.8163i −1.89719 1.37839i
\(639\) −3.13612 + 2.27853i −0.124063 + 0.0901371i
\(640\) −0.586906 + 1.80631i −0.0231995 + 0.0714007i
\(641\) −1.67736 + 1.21868i −0.0662519 + 0.0481348i −0.620418 0.784271i \(-0.713037\pi\)
0.554166 + 0.832406i \(0.313037\pi\)
\(642\) −5.85956 18.0339i −0.231258 0.711740i
\(643\) −9.91736 30.5225i −0.391102 1.20369i −0.931956 0.362572i \(-0.881899\pi\)
0.540853 0.841117i \(-0.318101\pi\)
\(644\) 4.66646 14.3619i 0.183884 0.565938i
\(645\) −28.7587 −1.13237
\(646\) −7.33267 −0.288500
\(647\) 4.47916 13.7854i 0.176094 0.541961i −0.823588 0.567189i \(-0.808031\pi\)
0.999682 + 0.0252277i \(0.00803107\pi\)
\(648\) −9.06032 6.58271i −0.355923 0.258593i
\(649\) 6.54770 4.75718i 0.257020 0.186736i
\(650\) −2.30717 −0.0904945
\(651\) 12.8961 14.7379i 0.505436 0.577623i
\(652\) 16.5560 0.648384
\(653\) 6.22331 4.52150i 0.243537 0.176940i −0.459321 0.888271i \(-0.651907\pi\)
0.702858 + 0.711331i \(0.251907\pi\)
\(654\) −0.422430 0.306913i −0.0165183 0.0120013i
\(655\) 9.86793 30.3704i 0.385572 1.18667i
\(656\) 3.75337 0.146544
\(657\) 11.3345 0.442201
\(658\) 0.927051 2.85317i 0.0361402 0.111228i
\(659\) −1.29700 3.99175i −0.0505239 0.155497i 0.922611 0.385731i \(-0.126051\pi\)
−0.973135 + 0.230234i \(0.926051\pi\)
\(660\) −7.74817 23.8464i −0.301597 0.928220i
\(661\) −24.3110 + 17.6630i −0.945589 + 0.687011i −0.949759 0.312981i \(-0.898672\pi\)
0.00417051 + 0.999991i \(0.498672\pi\)
\(662\) 5.90669 18.1789i 0.229570 0.706544i
\(663\) −5.53299 + 4.01995i −0.214883 + 0.156122i
\(664\) −6.35410 4.61653i −0.246587 0.179156i
\(665\) 3.66633 + 11.2838i 0.142174 + 0.437568i
\(666\) −1.20701 0.876941i −0.0467705 0.0339808i
\(667\) 73.6428 + 53.5046i 2.85146 + 2.07171i
\(668\) 0.819709 + 2.52281i 0.0317155 + 0.0976103i
\(669\) 38.4946 + 27.9679i 1.48829 + 1.08130i
\(670\) −10.5419 + 7.65912i −0.407268 + 0.295897i
\(671\) −7.71609 + 23.7477i −0.297876 + 0.916769i
\(672\) −2.84556 + 2.06742i −0.109770 + 0.0797524i
\(673\) −9.21418 28.3583i −0.355181 1.09313i −0.955905 0.293677i \(-0.905121\pi\)
0.600724 0.799456i \(-0.294879\pi\)
\(674\) 6.41850 + 19.7541i 0.247232 + 0.760901i
\(675\) 1.19246 3.67002i 0.0458978 0.141259i
\(676\) −10.2560 −0.394460
\(677\) −5.12916 −0.197130 −0.0985648 0.995131i \(-0.531425\pi\)
−0.0985648 + 0.995131i \(0.531425\pi\)
\(678\) 4.48934 13.8168i 0.172412 0.530630i
\(679\) 14.5625 + 10.5803i 0.558858 + 0.406034i
\(680\) −2.91830 + 2.12027i −0.111912 + 0.0813085i
\(681\) 10.9992 0.421490
\(682\) 17.3206 + 29.0404i 0.663241 + 1.11202i
\(683\) −43.6430 −1.66995 −0.834977 0.550286i \(-0.814519\pi\)
−0.834977 + 0.550286i \(0.814519\pi\)
\(684\) 5.38936 3.91560i 0.206067 0.149717i
\(685\) 29.7955 + 21.6477i 1.13843 + 0.827116i
\(686\) −5.69098 + 17.5150i −0.217283 + 0.668728i
\(687\) −48.6510 −1.85615
\(688\) −6.96566 −0.265563
\(689\) 0.816083 2.51164i 0.0310903 0.0956860i
\(690\) 11.9072 + 36.6464i 0.453298 + 1.39511i
\(691\) −7.35864 22.6476i −0.279936 0.861554i −0.987871 0.155277i \(-0.950373\pi\)
0.707935 0.706278i \(-0.249627\pi\)
\(692\) −2.63868 + 1.91711i −0.100307 + 0.0728777i
\(693\) 5.23941 16.1253i 0.199029 0.612548i
\(694\) 20.6945 15.0354i 0.785553 0.570737i
\(695\) 16.6519 + 12.0983i 0.631642 + 0.458915i
\(696\) −6.55177 20.1643i −0.248344 0.764325i
\(697\) 5.76720 + 4.19011i 0.218448 + 0.158712i
\(698\) 0.390304 + 0.283572i 0.0147732 + 0.0107334i
\(699\) −0.187307 0.576472i −0.00708461 0.0218042i
\(700\) −1.82318 1.32462i −0.0689098 0.0500659i
\(701\) 42.0765 30.5704i 1.58921 1.15463i 0.684149 0.729343i \(-0.260174\pi\)
0.905060 0.425285i \(-0.139826\pi\)
\(702\) −1.41825 + 4.36493i −0.0535285 + 0.164744i
\(703\) −2.70073 + 1.96220i −0.101860 + 0.0740057i
\(704\) −1.87668 5.77584i −0.0707302 0.217685i
\(705\) 2.36550 + 7.28027i 0.0890900 + 0.274191i
\(706\) −5.66761 + 17.4431i −0.213303 + 0.656480i
\(707\) −23.6075 −0.887850
\(708\) 2.89697 0.108875
\(709\) −14.6436 + 45.0682i −0.549950 + 1.69257i 0.158970 + 0.987283i \(0.449183\pi\)
−0.708920 + 0.705289i \(0.750817\pi\)
\(710\) 3.45204 + 2.50805i 0.129553 + 0.0941255i
\(711\) −5.15251 + 3.74351i −0.193234 + 0.140393i
\(712\) −11.3504 −0.425376
\(713\) −26.6178 44.6285i −0.996846 1.67135i
\(714\) −6.68029 −0.250004
\(715\) −15.4578 + 11.2307i −0.578088 + 0.420005i
\(716\) −1.21670 0.883985i −0.0454702 0.0330361i
\(717\) −5.24561 + 16.1443i −0.195901 + 0.602921i
\(718\) 9.36084 0.349343
\(719\) −24.9373 −0.930005 −0.465003 0.885309i \(-0.653947\pi\)
−0.465003 + 0.885309i \(0.653947\pi\)
\(720\) 1.01268 3.11671i 0.0377403 0.116153i
\(721\) −3.55384 10.9376i −0.132352 0.407337i
\(722\) 1.26521 + 3.89391i 0.0470862 + 0.144916i
\(723\) 27.2754 19.8168i 1.01438 0.736993i
\(724\) −4.93366 + 15.1842i −0.183358 + 0.564318i
\(725\) 10.9900 7.98469i 0.408158 0.296544i
\(726\) 45.5179 + 33.0707i 1.68933 + 1.22737i
\(727\) 5.42643 + 16.7008i 0.201255 + 0.619400i 0.999846 + 0.0175262i \(0.00557905\pi\)
−0.798591 + 0.601874i \(0.794421\pi\)
\(728\) 2.16840 + 1.57544i 0.0803663 + 0.0583895i
\(729\) 1.01552 + 0.737820i 0.0376119 + 0.0273267i
\(730\) −3.85538 11.8656i −0.142694 0.439167i
\(731\) −10.7030 7.77619i −0.395865 0.287613i
\(732\) −7.23079 + 5.25347i −0.267258 + 0.194174i
\(733\) 13.5095 41.5779i 0.498984 1.53571i −0.311672 0.950190i \(-0.600889\pi\)
0.810655 0.585524i \(-0.199111\pi\)
\(734\) −1.03092 + 0.749007i −0.0380520 + 0.0276464i
\(735\) −5.59061 17.2061i −0.206213 0.634657i
\(736\) 2.88403 + 8.87614i 0.106307 + 0.327179i
\(737\) 12.8755 39.6268i 0.474276 1.45967i
\(738\) −6.47627 −0.238395
\(739\) −29.7646 −1.09491 −0.547454 0.836836i \(-0.684403\pi\)
−0.547454 + 0.836836i \(0.684403\pi\)
\(740\) −0.507477 + 1.56185i −0.0186552 + 0.0574149i
\(741\) −11.2473 8.17167i −0.413181 0.300194i
\(742\) 2.08691 1.51623i 0.0766127 0.0556624i
\(743\) −2.28066 −0.0836692 −0.0418346 0.999125i \(-0.513320\pi\)
−0.0418346 + 0.999125i \(0.513320\pi\)
\(744\) −1.09417 + 12.0537i −0.0401144 + 0.441910i
\(745\) 6.05253 0.221747
\(746\) −11.9886 + 8.71021i −0.438933 + 0.318903i
\(747\) 10.9637 + 7.96561i 0.401141 + 0.291446i
\(748\) 3.56432 10.9699i 0.130325 0.401098i
\(749\) −14.1139 −0.515713
\(750\) 26.3936 0.963757
\(751\) −5.99819 + 18.4605i −0.218877 + 0.673634i 0.779978 + 0.625806i \(0.215230\pi\)
−0.998856 + 0.0478281i \(0.984770\pi\)
\(752\) 0.572949 + 1.76336i 0.0208933 + 0.0643030i
\(753\) 9.98294 + 30.7243i 0.363798 + 1.11966i
\(754\) −13.0709 + 9.49659i −0.476015 + 0.345845i
\(755\) −3.15353 + 9.70556i −0.114769 + 0.353221i
\(756\) −3.62679 + 2.63502i −0.131905 + 0.0958346i
\(757\) −6.54909 4.75819i −0.238031 0.172939i 0.462375 0.886685i \(-0.346997\pi\)
−0.700405 + 0.713745i \(0.746997\pi\)
\(758\) 4.36397 + 13.4309i 0.158507 + 0.487833i
\(759\) −99.6796 72.4214i −3.61814 2.62873i
\(760\) −5.93225 4.31003i −0.215185 0.156341i
\(761\) 9.90195 + 30.4751i 0.358945 + 1.10472i 0.953686 + 0.300803i \(0.0972546\pi\)
−0.594741 + 0.803917i \(0.702745\pi\)
\(762\) −0.799810 0.581096i −0.0289741 0.0210509i
\(763\) −0.314427 + 0.228445i −0.0113830 + 0.00827026i
\(764\) −6.17509 + 19.0050i −0.223407 + 0.687576i
\(765\) 5.03539 3.65843i 0.182055 0.132271i
\(766\) 5.41309 + 16.6598i 0.195583 + 0.601943i
\(767\) −0.682180 2.09953i −0.0246321 0.0758097i
\(768\) 0.671745 2.06742i 0.0242395 0.0746015i
\(769\) 45.6918 1.64769 0.823844 0.566817i \(-0.191825\pi\)
0.823844 + 0.566817i \(0.191825\pi\)
\(770\) −18.6630 −0.672569
\(771\) 0.895213 2.75518i 0.0322403 0.0992254i
\(772\) −10.0820 7.32497i −0.362858 0.263632i
\(773\) −30.6866 + 22.2951i −1.10372 + 0.801901i −0.981663 0.190622i \(-0.938949\pi\)
−0.122058 + 0.992523i \(0.538949\pi\)
\(774\) 12.0189 0.432011
\(775\) −7.56160 + 1.71979i −0.271621 + 0.0617765i
\(776\) −11.1248