Properties

Label 546.2.q.g.251.2
Level $546$
Weight $2$
Character 546.251
Analytic conductor $4.360$
Analytic rank $0$
Dimension $4$
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.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{-11})\)
Defining polynomial: \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.2
Root \(1.68614 - 0.396143i\) of defining polynomial
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.g.335.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.792287i q^{5} +(1.18614 + 1.26217i) q^{6} +(0.500000 - 2.59808i) q^{7} -1.00000 q^{8} +(-2.50000 - 1.65831i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.792287i q^{5} +(1.18614 + 1.26217i) q^{6} +(0.500000 - 2.59808i) q^{7} -1.00000 q^{8} +(-2.50000 - 1.65831i) q^{9} +(0.686141 + 0.396143i) q^{10} +(2.18614 - 3.78651i) q^{11} +(1.68614 - 0.396143i) q^{12} +(3.50000 - 0.866025i) q^{13} +(-2.00000 - 1.73205i) q^{14} +(-1.31386 - 0.396143i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.18614 + 3.78651i) q^{17} +(-2.68614 + 1.33591i) q^{18} +(-1.18614 - 2.05446i) q^{19} +(0.686141 - 0.396143i) q^{20} +(4.05842 + 2.12819i) q^{21} +(-2.18614 - 3.78651i) q^{22} +(3.68614 + 2.12819i) q^{23} +(0.500000 - 1.65831i) q^{24} +4.37228 q^{25} +(1.00000 - 3.46410i) q^{26} +(4.00000 - 3.31662i) q^{27} +(-2.50000 + 0.866025i) q^{28} +(2.18614 + 1.26217i) q^{29} +(-1.00000 + 0.939764i) q^{30} +6.74456 q^{31} +(0.500000 + 0.866025i) q^{32} +(5.18614 + 5.51856i) q^{33} +4.37228 q^{34} +(2.05842 + 0.396143i) q^{35} +(-0.186141 + 2.99422i) q^{36} +(-10.1168 - 5.84096i) q^{37} -2.37228 q^{38} +(-0.313859 + 6.23711i) q^{39} -0.792287i q^{40} +(-8.18614 - 4.72627i) q^{41} +(3.87228 - 2.45060i) q^{42} +(2.00000 + 3.46410i) q^{43} -4.37228 q^{44} +(1.31386 - 1.98072i) q^{45} +(3.68614 - 2.12819i) q^{46} -0.939764i q^{47} +(-1.18614 - 1.26217i) q^{48} +(-6.50000 - 2.59808i) q^{49} +(2.18614 - 3.78651i) q^{50} +(-7.37228 + 1.73205i) q^{51} +(-2.50000 - 2.59808i) q^{52} +2.22938i q^{53} +(-0.872281 - 5.12241i) q^{54} +(3.00000 + 1.73205i) q^{55} +(-0.500000 + 2.59808i) q^{56} +(4.00000 - 0.939764i) q^{57} +(2.18614 - 1.26217i) q^{58} +(-5.31386 + 3.06796i) q^{59} +(0.313859 + 1.33591i) q^{60} +(4.50000 - 2.59808i) q^{61} +(3.37228 - 5.84096i) q^{62} +(-5.55842 + 5.66603i) q^{63} +1.00000 q^{64} +(0.686141 + 2.77300i) q^{65} +(7.37228 - 1.73205i) q^{66} +(10.1168 + 5.84096i) q^{67} +(2.18614 - 3.78651i) q^{68} +(-5.37228 + 5.04868i) q^{69} +(1.37228 - 1.58457i) q^{70} +(-8.05842 - 13.9576i) q^{71} +(2.50000 + 1.65831i) q^{72} -10.7446 q^{73} +(-10.1168 + 5.84096i) q^{74} +(-2.18614 + 7.25061i) q^{75} +(-1.18614 + 2.05446i) q^{76} +(-8.74456 - 7.57301i) q^{77} +(5.24456 + 3.39036i) q^{78} +9.62772 q^{79} +(-0.686141 - 0.396143i) q^{80} +(3.50000 + 8.29156i) q^{81} +(-8.18614 + 4.72627i) q^{82} -1.58457i q^{83} +(-0.186141 - 4.57879i) q^{84} +(-3.00000 + 1.73205i) q^{85} +4.00000 q^{86} +(-3.18614 + 2.99422i) q^{87} +(-2.18614 + 3.78651i) q^{88} +(-9.30298 - 5.37108i) q^{89} +(-1.05842 - 2.12819i) q^{90} +(-0.500000 - 9.52628i) q^{91} -4.25639i q^{92} +(-3.37228 + 11.1846i) q^{93} +(-0.813859 - 0.469882i) q^{94} +(1.62772 - 0.939764i) q^{95} +(-1.68614 + 0.396143i) q^{96} +(-0.372281 - 0.644810i) q^{97} +(-5.50000 + 4.33013i) q^{98} +(-11.7446 + 5.84096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q + 2 q^{2} - 2 q^{3} - 2 q^{4} - q^{6} + 2 q^{7} - 4 q^{8} - 10 q^{9} - 3 q^{10} + 3 q^{11} + q^{12} + 14 q^{13} - 8 q^{14} - 11 q^{15} - 2 q^{16} + 3 q^{17} - 5 q^{18} + q^{19} - 3 q^{20} - q^{21} - 3 q^{22} + 9 q^{23} + 2 q^{24} + 6 q^{25} + 4 q^{26} + 16 q^{27} - 10 q^{28} + 3 q^{29} - 4 q^{30} + 4 q^{31} + 2 q^{32} + 15 q^{33} + 6 q^{34} - 9 q^{35} + 5 q^{36} - 6 q^{37} + 2 q^{38} - 7 q^{39} - 27 q^{41} + 4 q^{42} + 8 q^{43} - 6 q^{44} + 11 q^{45} + 9 q^{46} + q^{48} - 26 q^{49} + 3 q^{50} - 18 q^{51} - 10 q^{52} + 8 q^{54} + 12 q^{55} - 2 q^{56} + 16 q^{57} + 3 q^{58} - 27 q^{59} + 7 q^{60} + 18 q^{61} + 2 q^{62} - 5 q^{63} + 4 q^{64} - 3 q^{65} + 18 q^{66} + 6 q^{67} + 3 q^{68} - 10 q^{69} - 6 q^{70} - 15 q^{71} + 10 q^{72} - 20 q^{73} - 6 q^{74} - 3 q^{75} + q^{76} - 12 q^{77} - 2 q^{78} + 50 q^{79} + 3 q^{80} + 14 q^{81} - 27 q^{82} + 5 q^{84} - 12 q^{85} + 16 q^{86} - 7 q^{87} - 3 q^{88} + 3 q^{89} + 13 q^{90} - 2 q^{91} - 2 q^{93} - 9 q^{94} + 18 q^{95} - q^{96} + 10 q^{97} - 22 q^{98} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) −0.500000 + 1.65831i −0.288675 + 0.957427i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.792287i 0.354322i 0.984182 + 0.177161i \(0.0566913\pi\)
−0.984182 + 0.177161i \(0.943309\pi\)
\(6\) 1.18614 + 1.26217i 0.484240 + 0.515278i
\(7\) 0.500000 2.59808i 0.188982 0.981981i
\(8\) −1.00000 −0.353553
\(9\) −2.50000 1.65831i −0.833333 0.552771i
\(10\) 0.686141 + 0.396143i 0.216977 + 0.125272i
\(11\) 2.18614 3.78651i 0.659146 1.14167i −0.321691 0.946845i \(-0.604251\pi\)
0.980837 0.194830i \(-0.0624155\pi\)
\(12\) 1.68614 0.396143i 0.486747 0.114357i
\(13\) 3.50000 0.866025i 0.970725 0.240192i
\(14\) −2.00000 1.73205i −0.534522 0.462910i
\(15\) −1.31386 0.396143i −0.339237 0.102284i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.18614 + 3.78651i 0.530217 + 0.918363i 0.999379 + 0.0352504i \(0.0112229\pi\)
−0.469162 + 0.883112i \(0.655444\pi\)
\(18\) −2.68614 + 1.33591i −0.633129 + 0.314876i
\(19\) −1.18614 2.05446i −0.272119 0.471325i 0.697285 0.716794i \(-0.254391\pi\)
−0.969404 + 0.245470i \(0.921058\pi\)
\(20\) 0.686141 0.396143i 0.153426 0.0885804i
\(21\) 4.05842 + 2.12819i 0.885620 + 0.464410i
\(22\) −2.18614 3.78651i −0.466087 0.807286i
\(23\) 3.68614 + 2.12819i 0.768613 + 0.443759i 0.832380 0.554206i \(-0.186978\pi\)
−0.0637663 + 0.997965i \(0.520311\pi\)
\(24\) 0.500000 1.65831i 0.102062 0.338502i
\(25\) 4.37228 0.874456
\(26\) 1.00000 3.46410i 0.196116 0.679366i
\(27\) 4.00000 3.31662i 0.769800 0.638285i
\(28\) −2.50000 + 0.866025i −0.472456 + 0.163663i
\(29\) 2.18614 + 1.26217i 0.405956 + 0.234379i 0.689051 0.724713i \(-0.258028\pi\)
−0.283095 + 0.959092i \(0.591361\pi\)
\(30\) −1.00000 + 0.939764i −0.182574 + 0.171577i
\(31\) 6.74456 1.21136 0.605680 0.795709i \(-0.292901\pi\)
0.605680 + 0.795709i \(0.292901\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 5.18614 + 5.51856i 0.902791 + 0.960658i
\(34\) 4.37228 0.749840
\(35\) 2.05842 + 0.396143i 0.347937 + 0.0669605i
\(36\) −0.186141 + 2.99422i −0.0310234 + 0.499037i
\(37\) −10.1168 5.84096i −1.66320 0.960248i −0.971173 0.238376i \(-0.923385\pi\)
−0.692026 0.721873i \(-0.743282\pi\)
\(38\) −2.37228 −0.384835
\(39\) −0.313859 + 6.23711i −0.0502577 + 0.998736i
\(40\) 0.792287i 0.125272i
\(41\) −8.18614 4.72627i −1.27846 0.738119i −0.301895 0.953341i \(-0.597619\pi\)
−0.976565 + 0.215222i \(0.930953\pi\)
\(42\) 3.87228 2.45060i 0.597506 0.378136i
\(43\) 2.00000 + 3.46410i 0.304997 + 0.528271i 0.977261 0.212041i \(-0.0680112\pi\)
−0.672264 + 0.740312i \(0.734678\pi\)
\(44\) −4.37228 −0.659146
\(45\) 1.31386 1.98072i 0.195859 0.295268i
\(46\) 3.68614 2.12819i 0.543492 0.313785i
\(47\) 0.939764i 0.137079i −0.997648 0.0685393i \(-0.978166\pi\)
0.997648 0.0685393i \(-0.0218339\pi\)
\(48\) −1.18614 1.26217i −0.171205 0.182178i
\(49\) −6.50000 2.59808i −0.928571 0.371154i
\(50\) 2.18614 3.78651i 0.309167 0.535493i
\(51\) −7.37228 + 1.73205i −1.03233 + 0.242536i
\(52\) −2.50000 2.59808i −0.346688 0.360288i
\(53\) 2.22938i 0.306229i 0.988208 + 0.153115i \(0.0489304\pi\)
−0.988208 + 0.153115i \(0.951070\pi\)
\(54\) −0.872281 5.12241i −0.118702 0.697072i
\(55\) 3.00000 + 1.73205i 0.404520 + 0.233550i
\(56\) −0.500000 + 2.59808i −0.0668153 + 0.347183i
\(57\) 4.00000 0.939764i 0.529813 0.124475i
\(58\) 2.18614 1.26217i 0.287054 0.165731i
\(59\) −5.31386 + 3.06796i −0.691806 + 0.399414i −0.804288 0.594240i \(-0.797453\pi\)
0.112483 + 0.993654i \(0.464120\pi\)
\(60\) 0.313859 + 1.33591i 0.0405191 + 0.172465i
\(61\) 4.50000 2.59808i 0.576166 0.332650i −0.183442 0.983030i \(-0.558724\pi\)
0.759608 + 0.650381i \(0.225391\pi\)
\(62\) 3.37228 5.84096i 0.428280 0.741803i
\(63\) −5.55842 + 5.66603i −0.700295 + 0.713853i
\(64\) 1.00000 0.125000
\(65\) 0.686141 + 2.77300i 0.0851053 + 0.343949i
\(66\) 7.37228 1.73205i 0.907465 0.213201i
\(67\) 10.1168 + 5.84096i 1.23597 + 0.713587i 0.968268 0.249915i \(-0.0804026\pi\)
0.267701 + 0.963502i \(0.413736\pi\)
\(68\) 2.18614 3.78651i 0.265108 0.459181i
\(69\) −5.37228 + 5.04868i −0.646747 + 0.607789i
\(70\) 1.37228 1.58457i 0.164019 0.189393i
\(71\) −8.05842 13.9576i −0.956359 1.65646i −0.731228 0.682133i \(-0.761052\pi\)
−0.225131 0.974328i \(-0.572281\pi\)
\(72\) 2.50000 + 1.65831i 0.294628 + 0.195434i
\(73\) −10.7446 −1.25756 −0.628778 0.777585i \(-0.716445\pi\)
−0.628778 + 0.777585i \(0.716445\pi\)
\(74\) −10.1168 + 5.84096i −1.17606 + 0.678998i
\(75\) −2.18614 + 7.25061i −0.252434 + 0.837228i
\(76\) −1.18614 + 2.05446i −0.136060 + 0.235662i
\(77\) −8.74456 7.57301i −0.996535 0.863025i
\(78\) 5.24456 + 3.39036i 0.593830 + 0.383883i
\(79\) 9.62772 1.08320 0.541601 0.840635i \(-0.317818\pi\)
0.541601 + 0.840635i \(0.317818\pi\)
\(80\) −0.686141 0.396143i −0.0767129 0.0442902i
\(81\) 3.50000 + 8.29156i 0.388889 + 0.921285i
\(82\) −8.18614 + 4.72627i −0.904008 + 0.521929i
\(83\) 1.58457i 0.173930i −0.996211 0.0869648i \(-0.972283\pi\)
0.996211 0.0869648i \(-0.0277168\pi\)
\(84\) −0.186141 4.57879i −0.0203096 0.499587i
\(85\) −3.00000 + 1.73205i −0.325396 + 0.187867i
\(86\) 4.00000 0.431331
\(87\) −3.18614 + 2.99422i −0.341590 + 0.321014i
\(88\) −2.18614 + 3.78651i −0.233043 + 0.403643i
\(89\) −9.30298 5.37108i −0.986114 0.569333i −0.0820038 0.996632i \(-0.526132\pi\)
−0.904111 + 0.427299i \(0.859465\pi\)
\(90\) −1.05842 2.12819i −0.111567 0.224331i
\(91\) −0.500000 9.52628i −0.0524142 0.998625i
\(92\) 4.25639i 0.443759i
\(93\) −3.37228 + 11.1846i −0.349689 + 1.15979i
\(94\) −0.813859 0.469882i −0.0839432 0.0484646i
\(95\) 1.62772 0.939764i 0.167000 0.0964177i
\(96\) −1.68614 + 0.396143i −0.172091 + 0.0404312i
\(97\) −0.372281 0.644810i −0.0377994 0.0654706i 0.846507 0.532378i \(-0.178701\pi\)
−0.884306 + 0.466907i \(0.845368\pi\)
\(98\) −5.50000 + 4.33013i −0.555584 + 0.437409i
\(99\) −11.7446 + 5.84096i −1.18037 + 0.587039i
\(100\) −2.18614 3.78651i −0.218614 0.378651i
\(101\) −7.37228 + 12.7692i −0.733569 + 1.27058i 0.221779 + 0.975097i \(0.428814\pi\)
−0.955348 + 0.295482i \(0.904520\pi\)
\(102\) −2.18614 + 7.25061i −0.216460 + 0.717917i
\(103\) 8.21782i 0.809726i 0.914377 + 0.404863i \(0.132681\pi\)
−0.914377 + 0.404863i \(0.867319\pi\)
\(104\) −3.50000 + 0.866025i −0.343203 + 0.0849208i
\(105\) −1.68614 + 3.21543i −0.164550 + 0.313794i
\(106\) 1.93070 + 1.11469i 0.187526 + 0.108268i
\(107\) −0.813859 0.469882i −0.0786788 0.0454252i 0.460144 0.887844i \(-0.347798\pi\)
−0.538823 + 0.842419i \(0.681131\pi\)
\(108\) −4.87228 1.80579i −0.468835 0.173762i
\(109\) 19.8997i 1.90605i 0.302891 + 0.953025i \(0.402048\pi\)
−0.302891 + 0.953025i \(0.597952\pi\)
\(110\) 3.00000 1.73205i 0.286039 0.165145i
\(111\) 14.7446 13.8564i 1.39949 1.31519i
\(112\) 2.00000 + 1.73205i 0.188982 + 0.163663i
\(113\) 3.25544 1.87953i 0.306246 0.176811i −0.339000 0.940787i \(-0.610089\pi\)
0.645245 + 0.763975i \(0.276755\pi\)
\(114\) 1.18614 3.93398i 0.111092 0.368451i
\(115\) −1.68614 + 2.92048i −0.157233 + 0.272336i
\(116\) 2.52434i 0.234379i
\(117\) −10.1861 3.63903i −0.941709 0.336428i
\(118\) 6.13592i 0.564857i
\(119\) 10.9307 3.78651i 1.00202 0.347108i
\(120\) 1.31386 + 0.396143i 0.119938 + 0.0361628i
\(121\) −4.05842 7.02939i −0.368947 0.639036i
\(122\) 5.19615i 0.470438i
\(123\) 11.9307 11.2120i 1.07576 1.01096i
\(124\) −3.37228 5.84096i −0.302840 0.524534i
\(125\) 7.42554i 0.664160i
\(126\) 2.12772 + 7.64675i 0.189552 + 0.681227i
\(127\) 1.05842 1.83324i 0.0939198 0.162674i −0.815237 0.579127i \(-0.803394\pi\)
0.909157 + 0.416453i \(0.136727\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −6.74456 + 1.58457i −0.593826 + 0.139514i
\(130\) 2.74456 + 0.792287i 0.240714 + 0.0694882i
\(131\) 21.6060 1.88772 0.943861 0.330342i \(-0.107164\pi\)
0.943861 + 0.330342i \(0.107164\pi\)
\(132\) 2.18614 7.25061i 0.190279 0.631084i
\(133\) −5.93070 + 2.05446i −0.514257 + 0.178144i
\(134\) 10.1168 5.84096i 0.873962 0.504582i
\(135\) 2.62772 + 3.16915i 0.226158 + 0.272757i
\(136\) −2.18614 3.78651i −0.187460 0.324690i
\(137\) 3.68614 + 6.38458i 0.314928 + 0.545472i 0.979422 0.201822i \(-0.0646862\pi\)
−0.664494 + 0.747294i \(0.731353\pi\)
\(138\) 1.68614 + 7.17687i 0.143534 + 0.610936i
\(139\) −7.67527 + 4.43132i −0.651008 + 0.375859i −0.788842 0.614596i \(-0.789319\pi\)
0.137835 + 0.990455i \(0.455986\pi\)
\(140\) −0.686141 1.98072i −0.0579895 0.167401i
\(141\) 1.55842 + 0.469882i 0.131243 + 0.0395712i
\(142\) −16.1168 −1.35250
\(143\) 4.37228 15.1460i 0.365629 1.26657i
\(144\) 2.68614 1.33591i 0.223845 0.111326i
\(145\) −1.00000 + 1.73205i −0.0830455 + 0.143839i
\(146\) −5.37228 + 9.30506i −0.444613 + 0.770093i
\(147\) 7.55842 9.47999i 0.623408 0.781897i
\(148\) 11.6819i 0.960248i
\(149\) −3.00000 5.19615i −0.245770 0.425685i 0.716578 0.697507i \(-0.245707\pi\)
−0.962348 + 0.271821i \(0.912374\pi\)
\(150\) 5.18614 + 5.51856i 0.423447 + 0.450588i
\(151\) 16.8781i 1.37352i 0.726885 + 0.686759i \(0.240967\pi\)
−0.726885 + 0.686759i \(0.759033\pi\)
\(152\) 1.18614 + 2.05446i 0.0962087 + 0.166638i
\(153\) 0.813859 13.0916i 0.0657966 1.05839i
\(154\) −10.9307 + 3.78651i −0.880821 + 0.305125i
\(155\) 5.34363i 0.429211i
\(156\) 5.55842 2.84674i 0.445030 0.227922i
\(157\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(158\) 4.81386 8.33785i 0.382970 0.663324i
\(159\) −3.69702 1.11469i −0.293192 0.0884008i
\(160\) −0.686141 + 0.396143i −0.0542442 + 0.0313179i
\(161\) 7.37228 8.51278i 0.581017 0.670901i
\(162\) 8.93070 + 1.11469i 0.701662 + 0.0875785i
\(163\) −9.00000 + 5.19615i −0.704934 + 0.406994i −0.809183 0.587557i \(-0.800090\pi\)
0.104248 + 0.994551i \(0.466756\pi\)
\(164\) 9.45254i 0.738119i
\(165\) −4.37228 + 4.10891i −0.340382 + 0.319878i
\(166\) −1.37228 0.792287i −0.106510 0.0614934i
\(167\) −5.74456 3.31662i −0.444528 0.256648i 0.260989 0.965342i \(-0.415951\pi\)
−0.705516 + 0.708694i \(0.749285\pi\)
\(168\) −4.05842 2.12819i −0.313114 0.164194i
\(169\) 11.5000 6.06218i 0.884615 0.466321i
\(170\) 3.46410i 0.265684i
\(171\) −0.441578 + 7.10313i −0.0337683 + 0.543190i
\(172\) 2.00000 3.46410i 0.152499 0.264135i
\(173\) 0.941578 + 1.63086i 0.0715869 + 0.123992i 0.899597 0.436721i \(-0.143860\pi\)
−0.828010 + 0.560713i \(0.810527\pi\)
\(174\) 1.00000 + 4.25639i 0.0758098 + 0.322676i
\(175\) 2.18614 11.3595i 0.165257 0.858699i
\(176\) 2.18614 + 3.78651i 0.164787 + 0.285419i
\(177\) −2.43070 10.3460i −0.182703 0.777654i
\(178\) −9.30298 + 5.37108i −0.697288 + 0.402580i
\(179\) −4.37228 2.52434i −0.326800 0.188678i 0.327620 0.944810i \(-0.393754\pi\)
−0.654419 + 0.756132i \(0.727087\pi\)
\(180\) −2.37228 0.147477i −0.176819 0.0109923i
\(181\) 12.1244i 0.901196i 0.892727 + 0.450598i \(0.148789\pi\)
−0.892727 + 0.450598i \(0.851211\pi\)
\(182\) −8.50000 4.33013i −0.630062 0.320970i
\(183\) 2.05842 + 8.76144i 0.152163 + 0.647665i
\(184\) −3.68614 2.12819i −0.271746 0.156893i
\(185\) 4.62772 8.01544i 0.340237 0.589307i
\(186\) 8.00000 + 8.51278i 0.586588 + 0.624187i
\(187\) 19.1168 1.39796
\(188\) −0.813859 + 0.469882i −0.0593568 + 0.0342697i
\(189\) −6.61684 12.0506i −0.481305 0.876553i
\(190\) 1.87953i 0.136355i
\(191\) −10.6277 + 6.13592i −0.768995 + 0.443979i −0.832516 0.554001i \(-0.813100\pi\)
0.0635211 + 0.997980i \(0.479767\pi\)
\(192\) −0.500000 + 1.65831i −0.0360844 + 0.119678i
\(193\) 11.6168 + 6.70699i 0.836199 + 0.482780i 0.855970 0.517025i \(-0.172961\pi\)
−0.0197716 + 0.999805i \(0.506294\pi\)
\(194\) −0.744563 −0.0534565
\(195\) −4.94158 0.248667i −0.353874 0.0178074i
\(196\) 1.00000 + 6.92820i 0.0714286 + 0.494872i
\(197\) −12.3030 + 21.3094i −0.876551 + 1.51823i −0.0214504 + 0.999770i \(0.506828\pi\)
−0.855101 + 0.518462i \(0.826505\pi\)
\(198\) −0.813859 + 13.0916i −0.0578385 + 0.930377i
\(199\) −3.00000 + 1.73205i −0.212664 + 0.122782i −0.602549 0.798082i \(-0.705848\pi\)
0.389885 + 0.920864i \(0.372515\pi\)
\(200\) −4.37228 −0.309167
\(201\) −14.7446 + 13.8564i −1.04000 + 0.977356i
\(202\) 7.37228 + 12.7692i 0.518712 + 0.898435i
\(203\) 4.37228 5.04868i 0.306874 0.354348i
\(204\) 5.18614 + 5.51856i 0.363102 + 0.386376i
\(205\) 3.74456 6.48577i 0.261532 0.452986i
\(206\) 7.11684 + 4.10891i 0.495854 + 0.286281i
\(207\) −5.68614 11.4333i −0.395214 0.794666i
\(208\) −1.00000 + 3.46410i −0.0693375 + 0.240192i
\(209\) −10.3723 −0.717466
\(210\) 1.94158 + 3.06796i 0.133982 + 0.211709i
\(211\) −5.62772 + 9.74749i −0.387428 + 0.671045i −0.992103 0.125427i \(-0.959970\pi\)
0.604675 + 0.796473i \(0.293303\pi\)
\(212\) 1.93070 1.11469i 0.132601 0.0765574i
\(213\) 27.1753 6.38458i 1.86202 0.437464i
\(214\) −0.813859 + 0.469882i −0.0556343 + 0.0321205i
\(215\) −2.74456 + 1.58457i −0.187178 + 0.108067i
\(216\) −4.00000 + 3.31662i −0.272166 + 0.225668i
\(217\) 3.37228 17.5229i 0.228925 1.18953i
\(218\) 17.2337 + 9.94987i 1.16721 + 0.673891i
\(219\) 5.37228 17.8178i 0.363025 1.20402i
\(220\) 3.46410i 0.233550i
\(221\) 10.9307 + 11.3595i 0.735279 + 0.764124i
\(222\) −4.62772 19.6974i −0.310592 1.32200i
\(223\) 14.1168 24.4511i 0.945334 1.63737i 0.190252 0.981735i \(-0.439069\pi\)
0.755082 0.655631i \(-0.227597\pi\)
\(224\) 2.50000 0.866025i 0.167038 0.0578638i
\(225\) −10.9307 7.25061i −0.728714 0.483374i
\(226\) 3.75906i 0.250049i
\(227\) 16.8030 9.70121i 1.11525 0.643892i 0.175068 0.984556i \(-0.443985\pi\)
0.940185 + 0.340665i \(0.110652\pi\)
\(228\) −2.81386 2.99422i −0.186352 0.198297i
\(229\) 5.11684 0.338131 0.169065 0.985605i \(-0.445925\pi\)
0.169065 + 0.985605i \(0.445925\pi\)
\(230\) 1.68614 + 2.92048i 0.111181 + 0.192571i
\(231\) 16.9307 10.7147i 1.11396 0.704976i
\(232\) −2.18614 1.26217i −0.143527 0.0828654i
\(233\) 4.84630i 0.317491i 0.987320 + 0.158746i \(0.0507450\pi\)
−0.987320 + 0.158746i \(0.949255\pi\)
\(234\) −8.24456 + 7.00194i −0.538964 + 0.457731i
\(235\) 0.744563 0.0485699
\(236\) 5.31386 + 3.06796i 0.345903 + 0.199707i
\(237\) −4.81386 + 15.9658i −0.312694 + 1.03709i
\(238\) 2.18614 11.3595i 0.141706 0.736328i
\(239\) −15.6060 −1.00947 −0.504733 0.863275i \(-0.668409\pi\)
−0.504733 + 0.863275i \(0.668409\pi\)
\(240\) 1.00000 0.939764i 0.0645497 0.0606615i
\(241\) −6.37228 11.0371i −0.410475 0.710963i 0.584467 0.811418i \(-0.301304\pi\)
−0.994942 + 0.100454i \(0.967970\pi\)
\(242\) −8.11684 −0.521770
\(243\) −15.5000 + 1.65831i −0.994325 + 0.106381i
\(244\) −4.50000 2.59808i −0.288083 0.166325i
\(245\) 2.05842 5.14987i 0.131508 0.329013i
\(246\) −3.74456 15.9383i −0.238745 1.01619i
\(247\) −5.93070 6.16337i −0.377362 0.392166i
\(248\) −6.74456 −0.428280
\(249\) 2.62772 + 0.792287i 0.166525 + 0.0502091i
\(250\) 6.43070 + 3.71277i 0.406713 + 0.234816i
\(251\) 8.05842 + 13.9576i 0.508643 + 0.880996i 0.999950 + 0.0100091i \(0.00318605\pi\)
−0.491307 + 0.870987i \(0.663481\pi\)
\(252\) 7.68614 + 1.98072i 0.484181 + 0.124773i
\(253\) 16.1168 9.30506i 1.01326 0.585004i
\(254\) −1.05842 1.83324i −0.0664113 0.115028i
\(255\) −1.37228 5.84096i −0.0859356 0.365775i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.44158 4.22894i 0.152301 0.263794i −0.779772 0.626064i \(-0.784665\pi\)
0.932073 + 0.362270i \(0.117998\pi\)
\(258\) −2.00000 + 6.63325i −0.124515 + 0.412968i
\(259\) −20.2337 + 23.3639i −1.25726 + 1.45176i
\(260\) 2.05842 1.98072i 0.127658 0.122839i
\(261\) −3.37228 6.78073i −0.208739 0.419716i
\(262\) 10.8030 18.7113i 0.667411 1.15599i
\(263\) −19.5475 11.2858i −1.20535 0.695911i −0.243613 0.969873i \(-0.578333\pi\)
−0.961741 + 0.273961i \(0.911666\pi\)
\(264\) −5.18614 5.51856i −0.319185 0.339644i
\(265\) −1.76631 −0.108504
\(266\) −1.18614 + 6.16337i −0.0727270 + 0.377900i
\(267\) 13.5584 12.7417i 0.829762 0.779780i
\(268\) 11.6819i 0.713587i
\(269\) −0.430703 0.746000i −0.0262604 0.0454844i 0.852597 0.522570i \(-0.175027\pi\)
−0.878857 + 0.477085i \(0.841693\pi\)
\(270\) 4.05842 0.691097i 0.246988 0.0420588i
\(271\) −2.00000 + 3.46410i −0.121491 + 0.210429i −0.920356 0.391082i \(-0.872101\pi\)
0.798865 + 0.601511i \(0.205434\pi\)
\(272\) −4.37228 −0.265108
\(273\) 16.0475 + 3.93398i 0.971242 + 0.238096i
\(274\) 7.37228 0.445376
\(275\) 9.55842 16.5557i 0.576395 0.998345i
\(276\) 7.05842 + 2.12819i 0.424867 + 0.128102i
\(277\) −6.74456 11.6819i −0.405241 0.701899i 0.589108 0.808054i \(-0.299479\pi\)
−0.994350 + 0.106155i \(0.966146\pi\)
\(278\) 8.86263i 0.531545i
\(279\) −16.8614 11.1846i −1.00947 0.669604i
\(280\) −2.05842 0.396143i −0.123014 0.0236741i
\(281\) −14.7446 −0.879587 −0.439793 0.898099i \(-0.644948\pi\)
−0.439793 + 0.898099i \(0.644948\pi\)
\(282\) 1.18614 1.11469i 0.0706336 0.0663789i
\(283\) −2.05842 1.18843i −0.122360 0.0706449i 0.437571 0.899184i \(-0.355839\pi\)
−0.559931 + 0.828539i \(0.689172\pi\)
\(284\) −8.05842 + 13.9576i −0.478179 + 0.828231i
\(285\) 0.744563 + 3.16915i 0.0441041 + 0.187724i
\(286\) −10.9307 11.3595i −0.646346 0.671703i
\(287\) −16.3723 + 18.9051i −0.966425 + 1.11593i
\(288\) 0.186141 2.99422i 0.0109684 0.176436i
\(289\) −1.05842 + 1.83324i −0.0622601 + 0.107838i
\(290\) 1.00000 + 1.73205i 0.0587220 + 0.101710i
\(291\) 1.25544 0.294954i 0.0735950 0.0172905i
\(292\) 5.37228 + 9.30506i 0.314389 + 0.544538i
\(293\) −3.25544 + 1.87953i −0.190185 + 0.109803i −0.592069 0.805887i \(-0.701689\pi\)
0.401884 + 0.915690i \(0.368355\pi\)
\(294\) −4.43070 11.2858i −0.258404 0.658200i
\(295\) −2.43070 4.21010i −0.141521 0.245122i
\(296\) 10.1168 + 5.84096i 0.588030 + 0.339499i
\(297\) −3.81386 22.3966i −0.221303 1.29958i
\(298\) −6.00000 −0.347571
\(299\) 14.7446 + 4.25639i 0.852700 + 0.246153i
\(300\) 7.37228 1.73205i 0.425639 0.100000i
\(301\) 10.0000 3.46410i 0.576390 0.199667i
\(302\) 14.6168 + 8.43904i 0.841105 + 0.485612i
\(303\) −17.4891 18.6101i −1.00472 1.06912i
\(304\) 2.37228 0.136060
\(305\) 2.05842 + 3.56529i 0.117865 + 0.204148i
\(306\) −10.9307 7.25061i −0.624867 0.414490i
\(307\) 21.2337 1.21187 0.605935 0.795514i \(-0.292799\pi\)
0.605935 + 0.795514i \(0.292799\pi\)
\(308\) −2.18614 + 11.3595i −0.124567 + 0.647269i
\(309\) −13.6277 4.10891i −0.775254 0.233748i
\(310\) 4.62772 + 2.67181i 0.262837 + 0.151749i
\(311\) −10.3723 −0.588158 −0.294079 0.955781i \(-0.595013\pi\)
−0.294079 + 0.955781i \(0.595013\pi\)
\(312\) 0.313859 6.23711i 0.0177688 0.353107i
\(313\) 13.8564i 0.783210i −0.920133 0.391605i \(-0.871920\pi\)
0.920133 0.391605i \(-0.128080\pi\)
\(314\) 0 0
\(315\) −4.48913 4.40387i −0.252934 0.248130i
\(316\) −4.81386 8.33785i −0.270801 0.469041i
\(317\) −15.2554 −0.856831 −0.428415 0.903582i \(-0.640928\pi\)
−0.428415 + 0.903582i \(0.640928\pi\)
\(318\) −2.81386 + 2.64436i −0.157793 + 0.148289i
\(319\) 9.55842 5.51856i 0.535169 0.308980i
\(320\) 0.792287i 0.0442902i
\(321\) 1.18614 1.11469i 0.0662039 0.0622160i
\(322\) −3.68614 10.6410i −0.205421 0.592998i
\(323\) 5.18614 8.98266i 0.288565 0.499809i
\(324\) 5.43070 7.17687i 0.301706 0.398715i
\(325\) 15.3030 3.78651i 0.848857 0.210038i
\(326\) 10.3923i 0.575577i
\(327\) −33.0000 9.94987i −1.82490 0.550229i
\(328\) 8.18614 + 4.72627i 0.452004 + 0.260965i
\(329\) −2.44158 0.469882i −0.134609 0.0259054i
\(330\) 1.37228 + 5.84096i 0.0755416 + 0.321534i
\(331\) −1.88316 + 1.08724i −0.103508 + 0.0597602i −0.550860 0.834598i \(-0.685700\pi\)
0.447353 + 0.894358i \(0.352367\pi\)
\(332\) −1.37228 + 0.792287i −0.0753137 + 0.0434824i
\(333\) 15.6060 + 31.3793i 0.855202 + 1.71957i
\(334\) −5.74456 + 3.31662i −0.314328 + 0.181478i
\(335\) −4.62772 + 8.01544i −0.252839 + 0.437930i
\(336\) −3.87228 + 2.45060i −0.211250 + 0.133691i
\(337\) −10.6060 −0.577744 −0.288872 0.957368i \(-0.593280\pi\)
−0.288872 + 0.957368i \(0.593280\pi\)
\(338\) 0.500000 12.9904i 0.0271964 0.706584i
\(339\) 1.48913 + 6.33830i 0.0808782 + 0.344249i
\(340\) 3.00000 + 1.73205i 0.162698 + 0.0939336i
\(341\) 14.7446 25.5383i 0.798463 1.38298i
\(342\) 5.93070 + 3.93398i 0.320696 + 0.212725i
\(343\) −10.0000 + 15.5885i −0.539949 + 0.841698i
\(344\) −2.00000 3.46410i −0.107833 0.186772i
\(345\) −4.00000 4.25639i −0.215353 0.229156i
\(346\) 1.88316 0.101239
\(347\) 18.0475 10.4198i 0.968843 0.559362i 0.0699597 0.997550i \(-0.477713\pi\)
0.898883 + 0.438188i \(0.144380\pi\)
\(348\) 4.18614 + 1.26217i 0.224401 + 0.0676594i
\(349\) −10.0584 + 17.4217i −0.538415 + 0.932562i 0.460575 + 0.887621i \(0.347643\pi\)
−0.998990 + 0.0449411i \(0.985690\pi\)
\(350\) −8.74456 7.57301i −0.467417 0.404795i
\(351\) 11.1277 15.0723i 0.593954 0.804499i
\(352\) 4.37228 0.233043
\(353\) 25.3723 + 14.6487i 1.35043 + 0.779671i 0.988310 0.152460i \(-0.0487195\pi\)
0.362121 + 0.932131i \(0.382053\pi\)
\(354\) −10.1753 3.06796i −0.540809 0.163060i
\(355\) 11.0584 6.38458i 0.586920 0.338858i
\(356\) 10.7422i 0.569333i
\(357\) 0.813859 + 20.0198i 0.0430740 + 1.05956i
\(358\) −4.37228 + 2.52434i −0.231082 + 0.133415i
\(359\) 16.6277 0.877577 0.438789 0.898590i \(-0.355408\pi\)
0.438789 + 0.898590i \(0.355408\pi\)
\(360\) −1.31386 + 1.98072i −0.0692465 + 0.104393i
\(361\) 6.68614 11.5807i 0.351902 0.609512i
\(362\) 10.5000 + 6.06218i 0.551868 + 0.318621i
\(363\) 13.6861 3.21543i 0.718336 0.168767i
\(364\) −8.00000 + 5.19615i −0.419314 + 0.272352i
\(365\) 8.51278i 0.445579i
\(366\) 8.61684 + 2.59808i 0.450410 + 0.135804i
\(367\) 26.2337 + 15.1460i 1.36939 + 0.790616i 0.990850 0.134970i \(-0.0430937\pi\)
0.378538 + 0.925586i \(0.376427\pi\)
\(368\) −3.68614 + 2.12819i −0.192153 + 0.110940i
\(369\) 12.6277 + 25.3909i 0.657373 + 1.32180i
\(370\) −4.62772 8.01544i −0.240584 0.416703i
\(371\) 5.79211 + 1.11469i 0.300711 + 0.0578719i
\(372\) 11.3723 2.67181i 0.589625 0.138527i
\(373\) −4.00000 6.92820i −0.207112 0.358729i 0.743691 0.668523i \(-0.233073\pi\)
−0.950804 + 0.309794i \(0.899740\pi\)
\(374\) 9.55842 16.5557i 0.494254 0.856073i
\(375\) −12.3139 3.71277i −0.635885 0.191727i
\(376\) 0.939764i 0.0484646i
\(377\) 8.74456 + 2.52434i 0.450368 + 0.130010i
\(378\) −13.7446 0.294954i −0.706944 0.0151708i
\(379\) −4.88316 2.81929i −0.250831 0.144817i 0.369314 0.929305i \(-0.379593\pi\)
−0.620145 + 0.784487i \(0.712926\pi\)
\(380\) −1.62772 0.939764i −0.0835002 0.0482089i
\(381\) 2.51087 + 2.67181i 0.128636 + 0.136881i
\(382\) 12.2718i 0.627882i
\(383\) 13.0693 7.54556i 0.667810 0.385560i −0.127436 0.991847i \(-0.540675\pi\)
0.795246 + 0.606287i \(0.207342\pi\)
\(384\) 1.18614 + 1.26217i 0.0605300 + 0.0644098i
\(385\) 6.00000 6.92820i 0.305788 0.353094i
\(386\) 11.6168 6.70699i 0.591282 0.341377i
\(387\) 0.744563 11.9769i 0.0378482 0.608819i
\(388\) −0.372281 + 0.644810i −0.0188997 + 0.0327353i
\(389\) 29.2974i 1.48544i 0.669604 + 0.742718i \(0.266464\pi\)
−0.669604 + 0.742718i \(0.733536\pi\)
\(390\) −2.68614 + 4.15520i −0.136018 + 0.210407i
\(391\) 18.6101i 0.941155i
\(392\) 6.50000 + 2.59808i 0.328300 + 0.131223i
\(393\) −10.8030 + 35.8294i −0.544938 + 1.80736i
\(394\) 12.3030 + 21.3094i 0.619815 + 1.07355i
\(395\) 7.62792i 0.383802i
\(396\) 10.9307 + 7.25061i 0.549289 + 0.364357i
\(397\) 1.12772 + 1.95327i 0.0565986 + 0.0980316i 0.892936 0.450183i \(-0.148641\pi\)
−0.836338 + 0.548214i \(0.815308\pi\)
\(398\) 3.46410i 0.173640i
\(399\) −0.441578 10.8622i −0.0221066 0.543789i
\(400\) −2.18614 + 3.78651i −0.109307 + 0.189325i
\(401\) 5.74456 9.94987i 0.286870 0.496873i −0.686191 0.727421i \(-0.740719\pi\)
0.973061 + 0.230548i \(0.0740520\pi\)
\(402\) 4.62772 + 19.6974i 0.230810 + 0.982415i
\(403\) 23.6060 5.84096i 1.17590 0.290959i
\(404\) 14.7446 0.733569
\(405\) −6.56930 + 2.77300i −0.326431 + 0.137792i
\(406\) −2.18614 6.31084i −0.108496 0.313202i
\(407\) −44.2337 + 25.5383i −2.19258 + 1.26589i
\(408\) 7.37228 1.73205i 0.364982 0.0857493i
\(409\) −10.7446 18.6101i −0.531284 0.920212i −0.999333 0.0365091i \(-0.988376\pi\)
0.468049 0.883703i \(-0.344957\pi\)
\(410\) −3.74456 6.48577i −0.184931 0.320309i
\(411\) −12.4307 + 2.92048i −0.613161 + 0.144057i
\(412\) 7.11684 4.10891i 0.350622 0.202432i
\(413\) 5.31386 + 15.3398i 0.261478 + 0.754822i
\(414\) −12.7446 0.792287i −0.626361 0.0389388i
\(415\) 1.25544 0.0616270
\(416\) 2.50000 + 2.59808i 0.122573 + 0.127381i
\(417\) −3.51087 14.9436i −0.171928 0.731794i
\(418\) −5.18614 + 8.98266i −0.253662 + 0.439356i
\(419\) −2.74456 + 4.75372i −0.134081 + 0.232235i −0.925246 0.379368i \(-0.876141\pi\)
0.791165 + 0.611602i \(0.209475\pi\)
\(420\) 3.62772 0.147477i 0.177015 0.00719613i
\(421\) 26.8280i 1.30751i 0.756704 + 0.653757i \(0.226808\pi\)
−0.756704 + 0.653757i \(0.773192\pi\)
\(422\) 5.62772 + 9.74749i 0.273953 + 0.474501i
\(423\) −1.55842 + 2.34941i −0.0757731 + 0.114232i
\(424\) 2.22938i 0.108268i
\(425\) 9.55842 + 16.5557i 0.463652 + 0.803068i
\(426\) 8.05842 26.7268i 0.390432 1.29492i
\(427\) −4.50000 12.9904i −0.217770 0.628649i
\(428\) 0.939764i 0.0454252i
\(429\) 22.9307 + 14.8236i 1.10710 + 0.715691i
\(430\) 3.16915i 0.152830i
\(431\) 12.6861 21.9730i 0.611070 1.05840i −0.379991 0.924990i \(-0.624073\pi\)
0.991060 0.133414i \(-0.0425939\pi\)
\(432\) 0.872281 + 5.12241i 0.0419677 + 0.246452i
\(433\) −21.3505 + 12.3267i −1.02604 + 0.592385i −0.915848 0.401525i \(-0.868480\pi\)
−0.110193 + 0.993910i \(0.535147\pi\)
\(434\) −13.4891 11.6819i −0.647499 0.560750i
\(435\) −2.37228 2.52434i −0.113742 0.121033i
\(436\) 17.2337 9.94987i 0.825344 0.476513i
\(437\) 10.0974i 0.483022i
\(438\) −12.7446 13.5615i −0.608959 0.647991i
\(439\) −21.3505 12.3267i −1.01901 0.588323i −0.105190 0.994452i \(-0.533545\pi\)
−0.913816 + 0.406129i \(0.866878\pi\)
\(440\) −3.00000 1.73205i −0.143019 0.0825723i
\(441\) 11.9416 + 17.2742i 0.568647 + 0.822582i
\(442\) 15.3030 3.78651i 0.727889 0.180106i
\(443\) 7.86797i 0.373818i 0.982377 + 0.186909i \(0.0598470\pi\)
−0.982377 + 0.186909i \(0.940153\pi\)
\(444\) −19.3723 5.84096i −0.919368 0.277200i
\(445\) 4.25544 7.37063i 0.201727 0.349402i
\(446\) −14.1168 24.4511i −0.668452 1.15779i
\(447\) 10.1168 2.37686i 0.478510 0.112422i
\(448\) 0.500000 2.59808i 0.0236228 0.122748i
\(449\) 19.8030 + 34.2998i 0.934561 + 1.61871i 0.775416 + 0.631451i \(0.217540\pi\)
0.159145 + 0.987255i \(0.449126\pi\)
\(450\) −11.7446 + 5.84096i −0.553644 + 0.275346i
\(451\) −35.7921 + 20.6646i −1.68538 + 0.973057i
\(452\) −3.25544 1.87953i −0.153123 0.0884055i
\(453\) −27.9891 8.43904i −1.31504 0.396501i
\(454\) 19.4024i 0.910600i
\(455\) 7.54755 0.396143i 0.353834 0.0185715i
\(456\) −4.00000 + 0.939764i −0.187317 + 0.0440085i
\(457\) 9.17527 + 5.29734i 0.429201 + 0.247799i 0.699006 0.715116i \(-0.253626\pi\)
−0.269805 + 0.962915i \(0.586959\pi\)
\(458\) 2.55842 4.43132i 0.119547 0.207062i
\(459\) 21.3030 + 7.89542i 0.994338 + 0.368527i
\(460\) 3.37228 0.157233
\(461\) −27.4307 + 15.8371i −1.27758 + 0.737608i −0.976402 0.215961i \(-0.930712\pi\)
−0.301173 + 0.953569i \(0.597378\pi\)
\(462\) −0.813859 20.0198i −0.0378642 0.931404i
\(463\) 10.8347i 0.503533i −0.967788 0.251766i \(-0.918989\pi\)
0.967788 0.251766i \(-0.0810115\pi\)
\(464\) −2.18614 + 1.26217i −0.101489 + 0.0585947i
\(465\) −8.86141 2.67181i −0.410938 0.123902i
\(466\) 4.19702 + 2.42315i 0.194423 + 0.112250i
\(467\) 25.3723 1.17409 0.587045 0.809555i \(-0.300291\pi\)
0.587045 + 0.809555i \(0.300291\pi\)
\(468\) 1.94158 + 10.6410i 0.0897495 + 0.491879i
\(469\) 20.2337 23.3639i 0.934305 1.07884i
\(470\) 0.372281 0.644810i 0.0171721 0.0297429i
\(471\) 0 0
\(472\) 5.31386 3.06796i 0.244590 0.141214i
\(473\) 17.4891 0.804151
\(474\) 11.4198 + 12.1518i 0.524530 + 0.558151i
\(475\) −5.18614 8.98266i −0.237956 0.412153i
\(476\) −8.74456 7.57301i −0.400806 0.347108i
\(477\) 3.69702 5.57346i 0.169275 0.255191i
\(478\) −7.80298 + 13.5152i −0.356900 + 0.618169i
\(479\) 2.69702 + 1.55712i 0.123230 + 0.0711467i 0.560348 0.828257i \(-0.310667\pi\)
−0.437118 + 0.899404i \(0.644001\pi\)
\(480\) −0.313859 1.33591i −0.0143257 0.0609755i
\(481\) −40.4674 11.6819i −1.84515 0.532650i
\(482\) −12.7446 −0.580499
\(483\) 10.4307 + 16.4819i 0.474613 + 0.749954i
\(484\) −4.05842 + 7.02939i −0.184474 + 0.319518i
\(485\) 0.510875 0.294954i 0.0231976 0.0133932i
\(486\) −6.31386 + 14.2525i −0.286402 + 0.646509i
\(487\) −26.6168 + 15.3672i −1.20612 + 0.696356i −0.961910 0.273365i \(-0.911863\pi\)
−0.244214 + 0.969721i \(0.578530\pi\)
\(488\) −4.50000 + 2.59808i −0.203705 + 0.117609i
\(489\) −4.11684 17.5229i −0.186170 0.792412i
\(490\) −3.43070 4.35758i −0.154983 0.196855i
\(491\) −6.60597 3.81396i −0.298123 0.172122i 0.343476 0.939161i \(-0.388396\pi\)
−0.641599 + 0.767040i \(0.721729\pi\)
\(492\) −15.6753 4.72627i −0.706696 0.213077i
\(493\) 11.0371i 0.497087i
\(494\) −8.30298 + 2.05446i −0.373569 + 0.0924343i
\(495\) −4.62772 9.30506i −0.208000 0.418232i
\(496\) −3.37228 + 5.84096i −0.151420 + 0.262267i
\(497\) −40.2921 + 13.9576i −1.80735 + 0.626084i
\(498\) 2.00000 1.87953i 0.0896221 0.0842236i
\(499\) 16.4356i 0.735761i 0.929873 + 0.367880i \(0.119916\pi\)
−0.929873 + 0.367880i \(0.880084\pi\)
\(500\) 6.43070 3.71277i 0.287590 0.166040i
\(501\) 8.37228 7.86797i 0.374046 0.351515i
\(502\) 16.1168 0.719330
\(503\) −11.4891 19.8997i −0.512275 0.887286i −0.999899 0.0142322i \(-0.995470\pi\)
0.487624 0.873054i \(-0.337864\pi\)
\(504\) 5.55842 5.66603i 0.247592 0.252385i
\(505\) −10.1168 5.84096i −0.450194 0.259919i
\(506\) 18.6101i 0.827321i
\(507\) 4.30298 + 22.1017i 0.191102 + 0.981570i
\(508\) −2.11684 −0.0939198
\(509\) 20.3139 + 11.7282i 0.900396 + 0.519844i 0.877329 0.479890i \(-0.159323\pi\)
0.0230673 + 0.999734i \(0.492657\pi\)
\(510\) −5.74456 1.73205i −0.254374 0.0766965i
\(511\) −5.37228 + 27.9152i −0.237656 + 1.23490i
\(512\) −1.00000 −0.0441942
\(513\) −11.5584 4.28384i −0.510317 0.189136i
\(514\) −2.44158 4.22894i −0.107693 0.186530i
\(515\) −6.51087 −0.286903
\(516\) 4.74456 + 5.04868i 0.208868 + 0.222256i
\(517\) −3.55842 2.05446i −0.156499 0.0903549i
\(518\) 10.1168 + 29.2048i 0.444509 + 1.28319i
\(519\) −3.17527 + 0.746000i −0.139379 + 0.0327458i
\(520\) −0.686141 2.77300i −0.0300893 0.121604i
\(521\) −1.11684 −0.0489298 −0.0244649 0.999701i \(-0.507788\pi\)
−0.0244649 + 0.999701i \(0.507788\pi\)
\(522\) −7.55842 0.469882i −0.330823 0.0205662i
\(523\) −7.50000 4.33013i −0.327952 0.189343i 0.326979 0.945031i \(-0.393969\pi\)
−0.654932 + 0.755688i \(0.727303\pi\)
\(524\) −10.8030 18.7113i −0.471931 0.817408i
\(525\) 17.7446 + 9.30506i 0.774436 + 0.406106i
\(526\) −19.5475 + 11.2858i −0.852314 + 0.492083i
\(527\) 14.7446 + 25.5383i 0.642283 + 1.11247i
\(528\) −7.37228 + 1.73205i −0.320837 + 0.0753778i
\(529\) −2.44158 4.22894i −0.106156 0.183867i
\(530\) −0.883156 + 1.52967i −0.0383618 + 0.0664447i
\(531\) 18.3723 + 1.14214i 0.797289 + 0.0495648i
\(532\) 4.74456 + 4.10891i 0.205703 + 0.178144i
\(533\) −32.7446 9.45254i −1.41832 0.409435i
\(534\) −4.25544 18.1128i −0.184151 0.783817i
\(535\) 0.372281 0.644810i 0.0160951 0.0278776i
\(536\) −10.1168 5.84096i −0.436981 0.252291i
\(537\) 6.37228 5.98844i 0.274984 0.258420i
\(538\) −0.861407 −0.0371379
\(539\) −24.0475 + 18.9325i −1.03580 + 0.815482i
\(540\) 1.43070 3.86025i 0.0615677 0.166119i
\(541\) 1.28962i 0.0554451i 0.999616 + 0.0277226i \(0.00882549\pi\)
−0.999616 + 0.0277226i \(0.991175\pi\)
\(542\) 2.00000 + 3.46410i 0.0859074 + 0.148796i
\(543\) −20.1060 6.06218i −0.862830 0.260153i
\(544\) −2.18614 + 3.78651i −0.0937300 + 0.162345i
\(545\) −15.7663 −0.675355
\(546\) 11.4307 11.9306i 0.489189 0.510582i
\(547\) 8.51087 0.363899 0.181949 0.983308i \(-0.441759\pi\)
0.181949 + 0.983308i \(0.441759\pi\)
\(548\) 3.68614 6.38458i 0.157464 0.272736i
\(549\) −15.5584 0.967215i −0.664017 0.0412797i
\(550\) −9.55842 16.5557i −0.407572 0.705936i
\(551\) 5.98844i 0.255116i
\(552\) 5.37228 5.04868i 0.228659 0.214886i
\(553\) 4.81386 25.0135i 0.204706 1.06368i
\(554\) −13.4891 −0.573098
\(555\) 10.9783 + 11.6819i 0.466001 + 0.495870i
\(556\) 7.67527 + 4.43132i 0.325504 + 0.187930i
\(557\) 12.3030 21.3094i 0.521294 0.902908i −0.478399 0.878143i \(-0.658783\pi\)
0.999693 0.0247655i \(-0.00788391\pi\)
\(558\) −18.1168 + 9.01011i −0.766947 + 0.381428i
\(559\) 10.0000 + 10.3923i 0.422955 + 0.439548i
\(560\) −1.37228 + 1.58457i −0.0579895 + 0.0669605i
\(561\) −9.55842 + 31.7017i −0.403557 + 1.33845i
\(562\) −7.37228 + 12.7692i −0.310981 + 0.538635i
\(563\) −18.0000 31.1769i −0.758610 1.31395i −0.943560 0.331202i \(-0.892546\pi\)
0.184950 0.982748i \(-0.440788\pi\)
\(564\) −0.372281 1.58457i −0.0156759 0.0667226i
\(565\) 1.48913 + 2.57924i 0.0626480 + 0.108509i
\(566\) −2.05842 + 1.18843i −0.0865219 + 0.0499535i
\(567\) 23.2921 4.94749i 0.978177 0.207775i
\(568\) 8.05842 + 13.9576i 0.338124 + 0.585648i
\(569\) −29.6644 17.1267i −1.24360 0.717990i −0.273772 0.961795i \(-0.588271\pi\)
−0.969824 + 0.243804i \(0.921605\pi\)
\(570\) 3.11684 + 0.939764i 0.130550 + 0.0393624i
\(571\) −9.48913 −0.397108 −0.198554 0.980090i \(-0.563624\pi\)
−0.198554 + 0.980090i \(0.563624\pi\)
\(572\) −15.3030 + 3.78651i −0.639850 + 0.158322i
\(573\) −4.86141 20.6920i −0.203088 0.864422i
\(574\) 8.18614 + 23.6314i 0.341683 + 0.986354i
\(575\) 16.1168 + 9.30506i 0.672119 + 0.388048i
\(576\) −2.50000 1.65831i −0.104167 0.0690963i
\(577\) −5.76631 −0.240055 −0.120027 0.992771i \(-0.538298\pi\)
−0.120027 + 0.992771i \(0.538298\pi\)
\(578\) 1.05842 + 1.83324i 0.0440246 + 0.0762528i
\(579\) −16.9307 + 15.9109i −0.703616 + 0.661233i
\(580\) 2.00000 0.0830455
\(581\) −4.11684 0.792287i −0.170795 0.0328696i
\(582\) 0.372281 1.23472i 0.0154316 0.0511807i
\(583\) 8.44158 + 4.87375i 0.349614 + 0.201850i
\(584\) 10.7446 0.444613
\(585\) 2.88316 8.07035i 0.119204 0.333668i
\(586\) 3.75906i 0.155285i
\(587\) 37.5475 + 21.6781i 1.54975 + 0.894750i 0.998160 + 0.0606372i \(0.0193133\pi\)
0.551593 + 0.834113i \(0.314020\pi\)
\(588\) −11.9891 1.80579i −0.494423 0.0744695i
\(589\) −8.00000 13.8564i −0.329634 0.570943i
\(590\) −4.86141 −0.200141
\(591\) −29.1861 31.0569i −1.20056 1.27751i
\(592\) 10.1168 5.84096i 0.415800 0.240062i
\(593\) 3.11425i 0.127887i −0.997954 0.0639434i \(-0.979632\pi\)
0.997954 0.0639434i \(-0.0203677\pi\)
\(594\) −21.3030 7.89542i −0.874072 0.323953i
\(595\) 3.00000 + 8.66025i 0.122988 + 0.355036i
\(596\) −3.00000 + 5.19615i −0.122885 + 0.212843i
\(597\) −1.37228 5.84096i −0.0561637 0.239055i
\(598\) 11.0584 10.6410i 0.452213 0.435142i
\(599\) 22.5716i 0.922249i 0.887335 + 0.461125i \(0.152554\pi\)
−0.887335 + 0.461125i \(0.847446\pi\)
\(600\) 2.18614 7.25061i 0.0892488 0.296005i
\(601\) 37.1168 + 21.4294i 1.51403 + 0.874124i 0.999865 + 0.0164316i \(0.00523057\pi\)
0.514163 + 0.857693i \(0.328103\pi\)
\(602\) 2.00000 10.3923i 0.0815139 0.423559i
\(603\) −15.6060 31.3793i −0.635524 1.27786i
\(604\) 14.6168 8.43904i 0.594751 0.343380i
\(605\) 5.56930 3.21543i 0.226424 0.130726i
\(606\) −24.8614 + 5.84096i −1.00993 + 0.237273i
\(607\) 30.3505 17.5229i 1.23189 0.711232i 0.264466 0.964395i \(-0.414804\pi\)
0.967424 + 0.253163i \(0.0814708\pi\)
\(608\) 1.18614 2.05446i 0.0481044 0.0833192i
\(609\) 6.18614 + 9.77495i 0.250675 + 0.396101i
\(610\) 4.11684 0.166686
\(611\) −0.813859 3.28917i −0.0329252 0.133066i
\(612\) −11.7446 + 5.84096i −0.474746 + 0.236107i
\(613\) −8.23369 4.75372i −0.332556 0.192001i 0.324420 0.945913i \(-0.394831\pi\)
−0.656975 + 0.753912i \(0.728164\pi\)
\(614\) 10.6168 18.3889i 0.428461 0.742116i
\(615\) 8.88316 + 9.45254i 0.358203 + 0.381163i
\(616\) 8.74456 + 7.57301i 0.352328 + 0.305125i
\(617\) 16.8030 + 29.1036i 0.676463 + 1.17167i 0.976039 + 0.217595i \(0.0698213\pi\)
−0.299576 + 0.954072i \(0.596845\pi\)
\(618\) −10.3723 + 9.74749i −0.417234 + 0.392102i
\(619\) −33.4674 −1.34517 −0.672584 0.740021i \(-0.734816\pi\)
−0.672584 + 0.740021i \(0.734816\pi\)
\(620\) 4.62772 2.67181i 0.185854 0.107303i
\(621\) 21.8030 3.71277i 0.874924 0.148988i
\(622\) −5.18614 + 8.98266i −0.207945 + 0.360172i
\(623\) −18.6060 + 21.4843i −0.745432 + 0.860751i
\(624\) −5.24456 3.39036i −0.209951 0.135723i
\(625\) 15.9783 0.639130
\(626\) −12.0000 6.92820i −0.479616 0.276907i
\(627\) 5.18614 17.2005i 0.207115 0.686921i
\(628\) 0 0
\(629\) 51.0767i 2.03656i
\(630\) −6.05842 + 1.68576i −0.241373 + 0.0671624i
\(631\) −28.5000 + 16.4545i −1.13457 + 0.655043i −0.945080 0.326841i \(-0.894016\pi\)
−0.189488 + 0.981883i \(0.560683\pi\)
\(632\) −9.62772 −0.382970
\(633\) −13.3505 14.2063i −0.530636 0.564648i
\(634\) −7.62772 + 13.2116i −0.302935 + 0.524700i
\(635\) 1.45245 + 0.838574i 0.0576388 + 0.0332778i
\(636\) 0.883156 + 3.75906i 0.0350194 + 0.149056i
\(637\) −25.0000 3.46410i −0.990536 0.137253i
\(638\) 11.0371i 0.436964i
\(639\) −3.00000 + 48.2574i −0.118678 + 1.90903i
\(640\) 0.686141 + 0.396143i 0.0271221 + 0.0156589i
\(641\) 23.6644 13.6626i 0.934687 0.539642i 0.0463963 0.998923i \(-0.485226\pi\)
0.888291 + 0.459281i \(0.151893\pi\)
\(642\) −0.372281 1.58457i −0.0146928 0.0625381i
\(643\) −1.61684 2.80046i −0.0637621 0.110439i 0.832382 0.554202i \(-0.186977\pi\)
−0.896144 + 0.443763i \(0.853643\pi\)
\(644\) −11.0584 2.12819i −0.435763 0.0838626i
\(645\) −1.25544 5.34363i −0.0494328 0.210405i
\(646\) −5.18614 8.98266i −0.204046 0.353418i
\(647\) −19.9307 + 34.5210i −0.783557 + 1.35716i 0.146301 + 0.989240i \(0.453263\pi\)
−0.929857 + 0.367920i \(0.880070\pi\)
\(648\) −3.50000 8.29156i −0.137493 0.325723i
\(649\) 26.8280i 1.05309i
\(650\) 4.37228 15.1460i 0.171495 0.594076i
\(651\) 27.3723 + 14.3537i 1.07280 + 0.562567i
\(652\) 9.00000 + 5.19615i 0.352467 + 0.203497i
\(653\) −9.04755 5.22360i −0.354058 0.204415i 0.312413 0.949946i \(-0.398863\pi\)
−0.666471 + 0.745531i \(0.732196\pi\)
\(654\) −25.1168 + 23.6039i −0.982146 + 0.922986i
\(655\) 17.1181i 0.668861i
\(656\) 8.18614 4.72627i 0.319615 0.184530i
\(657\) 26.8614 + 17.8178i 1.04796 + 0.695140i
\(658\) −1.62772 + 1.87953i −0.0634551 + 0.0732716i
\(659\) 37.1644 21.4569i 1.44772 0.835841i 0.449374 0.893344i \(-0.351647\pi\)
0.998345 + 0.0575028i \(0.0183138\pi\)
\(660\) 5.74456 + 1.73205i 0.223607 + 0.0674200i
\(661\) −10.5693 + 18.3066i −0.411098 + 0.712043i −0.995010 0.0997743i \(-0.968188\pi\)
0.583912 + 0.811817i \(0.301521\pi\)
\(662\) 2.17448i 0.0845136i
\(663\) −24.3030 + 12.4468i −0.943850 + 0.483392i
\(664\) 1.58457i 0.0614934i
\(665\) −1.62772 4.69882i −0.0631202 0.182212i
\(666\) 34.9783 + 2.17448i 1.35538 + 0.0842594i
\(667\) 5.37228 + 9.30506i 0.208016 + 0.360294i
\(668\) 6.63325i 0.256648i
\(669\) 33.4891 + 35.6357i 1.29476 + 1.37776i
\(670\) 4.62772 + 8.01544i 0.178784 + 0.309664i
\(671\) 22.7190i 0.877059i
\(672\) 0.186141 + 4.57879i 0.00718053 + 0.176631i
\(673\) 4.18614 7.25061i 0.161364 0.279490i −0.773994 0.633193i \(-0.781744\pi\)
0.935358 + 0.353702i \(0.115077\pi\)
\(674\) −5.30298 + 9.18504i −0.204263 + 0.353794i
\(675\) 17.4891 14.5012i 0.673157 0.558152i
\(676\) −11.0000 6.92820i −0.423077 0.266469i
\(677\) −1.37228 −0.0527411 −0.0263705 0.999652i \(-0.508395\pi\)
−0.0263705 + 0.999652i \(0.508395\pi\)
\(678\) 6.23369 + 1.87953i 0.239403 + 0.0721828i
\(679\) −1.86141 + 0.644810i −0.0714342 + 0.0247455i
\(680\) 3.00000 1.73205i 0.115045 0.0664211i
\(681\) 7.68614 + 32.7152i 0.294534 + 1.25365i
\(682\) −14.7446 25.5383i −0.564598 0.977913i
\(683\) −6.86141 11.8843i −0.262544 0.454740i 0.704373 0.709830i \(-0.251228\pi\)
−0.966917 + 0.255090i \(0.917895\pi\)
\(684\) 6.37228 3.16915i 0.243650 0.121175i
\(685\) −5.05842 + 2.92048i −0.193272 + 0.111586i
\(686\) 8.50000 + 16.4545i 0.324532 + 0.628235i
\(687\) −2.55842 + 8.48533i −0.0976099 + 0.323735i
\(688\) −4.00000 −0.152499
\(689\) 1.93070 + 7.80284i 0.0735539 + 0.297265i
\(690\) −5.68614 + 1.33591i −0.216468 + 0.0508571i
\(691\) 10.9416 18.9514i 0.416237 0.720944i −0.579320 0.815100i \(-0.696682\pi\)
0.995557 + 0.0941560i \(0.0300152\pi\)
\(692\) 0.941578 1.63086i 0.0357934 0.0619960i
\(693\) 9.30298 + 33.4338i 0.353391 + 1.27004i
\(694\) 20.8395i 0.791057i
\(695\) −3.51087 6.08101i −0.133175 0.230666i
\(696\) 3.18614 2.99422i 0.120770 0.113496i
\(697\) 41.3292i 1.56545i
\(698\) 10.0584 + 17.4217i 0.380717 + 0.659421i
\(699\) −8.03667 2.42315i −0.303975 0.0916519i
\(700\) −10.9307 + 3.78651i −0.413142 + 0.143117i
\(701\) 45.3832i 1.71410i −0.515234 0.857049i \(-0.672295\pi\)
0.515234 0.857049i \(-0.327705\pi\)
\(702\) −7.48913 17.1730i −0.282659 0.648154i
\(703\) 27.7128i 1.04521i
\(704\) 2.18614 3.78651i 0.0823933 0.142709i
\(705\) −0.372281 + 1.23472i −0.0140209 + 0.0465022i
\(706\) 25.3723 14.6487i 0.954898 0.551311i
\(707\) 29.4891 + 25.5383i 1.10905 + 0.960468i
\(708\) −7.74456 + 7.27806i −0.291058 + 0.273526i
\(709\) −22.8832 + 13.2116i −0.859395 + 0.496172i −0.863810 0.503818i \(-0.831928\pi\)
0.00441467 + 0.999990i \(0.498595\pi\)
\(710\) 12.7692i 0.479218i
\(711\) −24.0693 15.9658i −0.902669 0.598763i
\(712\) 9.30298 + 5.37108i 0.348644 + 0.201290i
\(713\) 24.8614 + 14.3537i 0.931067 + 0.537552i
\(714\) 17.7446 + 9.30506i 0.664074 + 0.348233i
\(715\) 12.0000 + 3.46410i 0.448775 + 0.129550i
\(716\) 5.04868i 0.188678i
\(717\) 7.80298 25.8796i 0.291408 0.966490i
\(718\) 8.31386 14.4000i 0.310270 0.537404i
\(719\) −12.5584 21.7518i −0.468350 0.811206i 0.530996 0.847375i \(-0.321818\pi\)
−0.999346 + 0.0361684i \(0.988485\pi\)
\(720\) 1.05842 + 2.12819i 0.0394451 + 0.0793131i
\(721\) 21.3505 + 4.10891i 0.795135 + 0.153024i
\(722\) −6.68614 11.5807i −0.248832 0.430990i
\(723\) 21.4891 5.04868i 0.799189 0.187762i
\(724\) 10.5000 6.06218i 0.390229 0.225299i
\(725\) 9.55842 + 5.51856i 0.354991 + 0.204954i
\(726\) 4.05842 13.4603i 0.150622 0.499557i
\(727\) 28.1176i 1.04282i −0.853305 0.521412i \(-0.825406\pi\)
0.853305 0.521412i \(-0.174594\pi\)
\(728\) 0.500000 + 9.52628i 0.0185312 + 0.353067i
\(729\) 5.00000 26.5330i 0.185185 0.982704i
\(730\) −7.37228 4.25639i −0.272860 0.157536i
\(731\) −8.74456 + 15.1460i −0.323429 + 0.560196i
\(732\) 6.55842 6.16337i 0.242406 0.227805i
\(733\) −43.7446 −1.61574 −0.807871 0.589359i \(-0.799380\pi\)
−0.807871 + 0.589359i \(0.799380\pi\)
\(734\) 26.2337 15.1460i 0.968303 0.559050i
\(735\) 7.51087 + 5.98844i 0.277043 + 0.220887i
\(736\) 4.25639i 0.156893i
\(737\) 44.2337 25.5383i 1.62937 0.940717i
\(738\) 28.3030 + 1.75950i 1.04185 + 0.0647682i
\(739\) −34.1168 19.6974i −1.25501 0.724579i −0.282909 0.959147i \(-0.591299\pi\)
−0.972100 + 0.234567i \(0.924633\pi\)
\(740\) −9.25544 −0.340237
\(741\) 13.1861 6.75327i 0.484405 0.248088i
\(742\) 3.86141 4.45877i 0.141757 0.163687i
\(743\) 1.62772 2.81929i 0.0597152 0.103430i −0.834622 0.550823i \(-0.814314\pi\)
0.894338 + 0.447393i \(0.147647\pi\)
\(744\) 3.37228 11.1846i 0.123634 0.410047i
\(745\) 4.11684 2.37686i 0.150829 0.0870814i
\(746\) −8.00000 −0.292901
\(747\) −2.62772 + 3.96143i −0.0961432 + 0.144941i
\(748\) −9.55842 16.5557i −0.349491 0.605335i
\(749\) −1.62772 + 1.87953i −0.0594755 + 0.0686764i
\(750\) −9.37228 + 8.80773i −0.342227 + 0.321613i
\(751\) 0.500000 0.866025i 0.0182453 0.0316017i −0.856759 0.515718i \(-0.827525\pi\)
0.875004 + 0.484116i \(0.160859\pi\)
\(752\) 0.813859 + 0.469882i 0.0296784 + 0.0171348i
\(753\) −27.1753 + 6.38458i −0.990322 + 0.232667i
\(754\) 6.55842 6.31084i 0.238844 0.229827i
\(755\) −13.3723 −0.486667
\(756\) −7.12772 + 11.7557i −0.259233 + 0.427549i
\(757\) 8.86141 15.3484i 0.322073 0.557847i −0.658842 0.752281i \(-0.728954\pi\)
0.980916 + 0.194434i \(0.0622869\pi\)
\(758\) −4.88316 + 2.81929i −0.177364 + 0.102401i
\(759\) 7.37228 + 31.3793i 0.267597 + 1.13900i
\(760\) −1.62772 + 0.939764i −0.0590436 + 0.0340888i
\(761\) −3.25544 + 1.87953i −0.118010 + 0.0681328i −0.557843 0.829947i \(-0.688371\pi\)
0.439833 + 0.898079i \(0.355037\pi\)
\(762\) 3.56930 0.838574i 0.129302 0.0303783i
\(763\) 51.7011 + 9.94987i 1.87170 + 0.360210i
\(764\) 10.6277 + 6.13592i 0.384497 + 0.221990i
\(765\) 10.3723 + 0.644810i 0.375011 + 0.0233132i
\(766\) 15.0911i 0.545264i
\(767\) −15.9416 + 15.3398i −0.575617 + 0.553888i
\(768\) 1.68614 0.396143i 0.0608434 0.0142946i
\(769\) −12.1168 + 20.9870i −0.436945 + 0.756810i −0.997452 0.0713391i \(-0.977273\pi\)
0.560508 + 0.828149i \(0.310606\pi\)