Properties

Label 546.2.q.h.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: \(x^{4} - x^{3} - 2 x^{2} - 3 x + 9\)
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.h.335.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +2.52434i q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +2.52434i q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +(2.18614 + 1.26217i) q^{10} +(-0.686141 + 1.18843i) q^{11} +(1.18614 - 1.26217i) q^{12} +(-3.50000 + 0.866025i) q^{13} +(2.00000 - 1.73205i) q^{14} +(-4.18614 + 1.26217i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.686141 + 1.18843i) q^{17} +(0.186141 + 2.99422i) q^{18} +(-1.68614 - 2.92048i) q^{19} +(2.18614 - 1.26217i) q^{20} +(-0.186141 + 4.57879i) q^{21} +(0.686141 + 1.18843i) q^{22} +(0.813859 + 0.469882i) q^{23} +(-0.500000 - 1.65831i) q^{24} -1.37228 q^{25} +(-1.00000 + 3.46410i) q^{26} +(-4.00000 - 3.31662i) q^{27} +(-0.500000 - 2.59808i) q^{28} +(-0.686141 - 0.396143i) q^{29} +(-1.00000 + 4.25639i) q^{30} +4.74456 q^{31} +(0.500000 + 0.866025i) q^{32} +(-2.31386 - 0.543620i) q^{33} +1.37228 q^{34} +(-2.18614 + 6.31084i) q^{35} +(2.68614 + 1.33591i) q^{36} +(7.11684 + 4.10891i) q^{37} -3.37228 q^{38} +(-3.18614 - 5.37108i) q^{39} -2.52434i q^{40} +(5.31386 + 3.06796i) q^{41} +(3.87228 + 2.45060i) q^{42} +(2.00000 + 3.46410i) q^{43} +1.37228 q^{44} +(-4.18614 - 6.31084i) q^{45} +(0.813859 - 0.469882i) q^{46} +4.25639i q^{47} +(-1.68614 - 0.396143i) q^{48} +(5.50000 + 4.33013i) q^{49} +(-0.686141 + 1.18843i) q^{50} +(-1.62772 + 1.73205i) q^{51} +(2.50000 + 2.59808i) q^{52} -14.3537i q^{53} +(-4.87228 + 1.80579i) q^{54} +(-3.00000 - 1.73205i) q^{55} +(-2.50000 - 0.866025i) q^{56} +(4.00000 - 4.25639i) q^{57} +(-0.686141 + 0.396143i) q^{58} +(8.18614 - 4.72627i) q^{59} +(3.18614 + 2.99422i) q^{60} +(-4.50000 + 2.59808i) q^{61} +(2.37228 - 4.10891i) q^{62} +(-7.68614 + 1.98072i) q^{63} +1.00000 q^{64} +(-2.18614 - 8.83518i) q^{65} +(-1.62772 + 1.73205i) q^{66} +(-7.11684 - 4.10891i) q^{67} +(0.686141 - 1.18843i) q^{68} +(-0.372281 + 1.58457i) q^{69} +(4.37228 + 5.04868i) q^{70} +(0.558422 + 0.967215i) q^{71} +(2.50000 - 1.65831i) q^{72} -0.744563 q^{73} +(7.11684 - 4.10891i) q^{74} +(-0.686141 - 2.27567i) q^{75} +(-1.68614 + 2.92048i) q^{76} +(-2.74456 + 2.37686i) q^{77} +(-6.24456 + 0.0737384i) q^{78} +15.3723 q^{79} +(-2.18614 - 1.26217i) q^{80} +(3.50000 - 8.29156i) q^{81} +(5.31386 - 3.06796i) q^{82} -5.04868i q^{83} +(4.05842 - 2.12819i) q^{84} +(-3.00000 + 1.73205i) q^{85} +4.00000 q^{86} +(0.313859 - 1.33591i) q^{87} +(0.686141 - 1.18843i) q^{88} +(-10.8030 - 6.23711i) q^{89} +(-7.55842 + 0.469882i) q^{90} +(-9.50000 - 0.866025i) q^{91} -0.939764i q^{92} +(2.37228 + 7.86797i) q^{93} +(3.68614 + 2.12819i) q^{94} +(7.37228 - 4.25639i) q^{95} +(-1.18614 + 1.26217i) q^{96} +(-5.37228 - 9.30506i) q^{97} +(6.50000 - 2.59808i) q^{98} +(-0.255437 - 4.10891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q + 2q^{2} + 2q^{3} - 2q^{4} + q^{6} + 10q^{7} - 4q^{8} - 10q^{9} + O(q^{10}) \) \( 4q + 2q^{2} + 2q^{3} - 2q^{4} + q^{6} + 10q^{7} - 4q^{8} - 10q^{9} + 3q^{10} + 3q^{11} - q^{12} - 14q^{13} + 8q^{14} - 11q^{15} - 2q^{16} - 3q^{17} - 5q^{18} - q^{19} + 3q^{20} + 5q^{21} - 3q^{22} + 9q^{23} - 2q^{24} + 6q^{25} - 4q^{26} - 16q^{27} - 2q^{28} + 3q^{29} - 4q^{30} - 4q^{31} + 2q^{32} - 15q^{33} - 6q^{34} - 3q^{35} + 5q^{36} - 6q^{37} - 2q^{38} - 7q^{39} + 27q^{41} + 4q^{42} + 8q^{43} - 6q^{44} - 11q^{45} + 9q^{46} - q^{48} + 22q^{49} + 3q^{50} - 18q^{51} + 10q^{52} - 8q^{54} - 12q^{55} - 10q^{56} + 16q^{57} + 3q^{58} + 27q^{59} + 7q^{60} - 18q^{61} - 2q^{62} - 25q^{63} + 4q^{64} - 3q^{65} - 18q^{66} + 6q^{67} - 3q^{68} + 10q^{69} + 6q^{70} - 15q^{71} + 10q^{72} + 20q^{73} - 6q^{74} + 3q^{75} - q^{76} + 12q^{77} - 2q^{78} + 50q^{79} - 3q^{80} + 14q^{81} + 27q^{82} - q^{84} - 12q^{85} + 16q^{86} + 7q^{87} - 3q^{88} - 3q^{89} - 13q^{90} - 38q^{91} - 2q^{93} + 9q^{94} + 18q^{95} + q^{96} - 10q^{97} + 26q^{98} - 24q^{99} + O(q^{100}) \)

Character values

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

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

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
\(5\) 2.52434i 1.12892i 0.825461 + 0.564459i \(0.190915\pi\)
−0.825461 + 0.564459i \(0.809085\pi\)
\(6\) 1.68614 + 0.396143i 0.688364 + 0.161725i
\(7\) 2.50000 + 0.866025i 0.944911 + 0.327327i
\(8\) −1.00000 −0.353553
\(9\) −2.50000 + 1.65831i −0.833333 + 0.552771i
\(10\) 2.18614 + 1.26217i 0.691318 + 0.399133i
\(11\) −0.686141 + 1.18843i −0.206879 + 0.358325i −0.950730 0.310021i \(-0.899664\pi\)
0.743851 + 0.668346i \(0.232997\pi\)
\(12\) 1.18614 1.26217i 0.342409 0.364357i
\(13\) −3.50000 + 0.866025i −0.970725 + 0.240192i
\(14\) 2.00000 1.73205i 0.534522 0.462910i
\(15\) −4.18614 + 1.26217i −1.08086 + 0.325891i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.686141 + 1.18843i 0.166414 + 0.288237i 0.937156 0.348910i \(-0.113448\pi\)
−0.770743 + 0.637146i \(0.780115\pi\)
\(18\) 0.186141 + 2.99422i 0.0438738 + 0.705744i
\(19\) −1.68614 2.92048i −0.386827 0.670004i 0.605194 0.796078i \(-0.293096\pi\)
−0.992021 + 0.126074i \(0.959762\pi\)
\(20\) 2.18614 1.26217i 0.488836 0.282230i
\(21\) −0.186141 + 4.57879i −0.0406192 + 0.999175i
\(22\) 0.686141 + 1.18843i 0.146286 + 0.253374i
\(23\) 0.813859 + 0.469882i 0.169701 + 0.0979772i 0.582445 0.812870i \(-0.302096\pi\)
−0.412744 + 0.910847i \(0.635429\pi\)
\(24\) −0.500000 1.65831i −0.102062 0.338502i
\(25\) −1.37228 −0.274456
\(26\) −1.00000 + 3.46410i −0.196116 + 0.679366i
\(27\) −4.00000 3.31662i −0.769800 0.638285i
\(28\) −0.500000 2.59808i −0.0944911 0.490990i
\(29\) −0.686141 0.396143i −0.127413 0.0735620i 0.434939 0.900460i \(-0.356770\pi\)
−0.562352 + 0.826898i \(0.690103\pi\)
\(30\) −1.00000 + 4.25639i −0.182574 + 0.777107i
\(31\) 4.74456 0.852149 0.426074 0.904688i \(-0.359896\pi\)
0.426074 + 0.904688i \(0.359896\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −2.31386 0.543620i −0.402791 0.0946322i
\(34\) 1.37228 0.235344
\(35\) −2.18614 + 6.31084i −0.369525 + 1.06673i
\(36\) 2.68614 + 1.33591i 0.447690 + 0.222651i
\(37\) 7.11684 + 4.10891i 1.17000 + 0.675501i 0.953681 0.300821i \(-0.0972608\pi\)
0.216321 + 0.976322i \(0.430594\pi\)
\(38\) −3.37228 −0.547056
\(39\) −3.18614 5.37108i −0.510191 0.860061i
\(40\) 2.52434i 0.399133i
\(41\) 5.31386 + 3.06796i 0.829885 + 0.479135i 0.853813 0.520579i \(-0.174284\pi\)
−0.0239280 + 0.999714i \(0.507617\pi\)
\(42\) 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 \(0.734678\pi\)
\(44\) 1.37228 0.206879
\(45\) −4.18614 6.31084i −0.624033 0.940765i
\(46\) 0.813859 0.469882i 0.119997 0.0692803i
\(47\) 4.25639i 0.620858i 0.950597 + 0.310429i \(0.100473\pi\)
−0.950597 + 0.310429i \(0.899527\pi\)
\(48\) −1.68614 0.396143i −0.243373 0.0571784i
\(49\) 5.50000 + 4.33013i 0.785714 + 0.618590i
\(50\) −0.686141 + 1.18843i −0.0970349 + 0.168069i
\(51\) −1.62772 + 1.73205i −0.227926 + 0.242536i
\(52\) 2.50000 + 2.59808i 0.346688 + 0.360288i
\(53\) 14.3537i 1.97164i −0.167813 0.985819i \(-0.553670\pi\)
0.167813 0.985819i \(-0.446330\pi\)
\(54\) −4.87228 + 1.80579i −0.663034 + 0.245737i
\(55\) −3.00000 1.73205i −0.404520 0.233550i
\(56\) −2.50000 0.866025i −0.334077 0.115728i
\(57\) 4.00000 4.25639i 0.529813 0.563772i
\(58\) −0.686141 + 0.396143i −0.0900947 + 0.0520162i
\(59\) 8.18614 4.72627i 1.06574 0.615308i 0.138729 0.990330i \(-0.455698\pi\)
0.927016 + 0.375022i \(0.122365\pi\)
\(60\) 3.18614 + 2.99422i 0.411329 + 0.386552i
\(61\) −4.50000 + 2.59808i −0.576166 + 0.332650i −0.759608 0.650381i \(-0.774609\pi\)
0.183442 + 0.983030i \(0.441276\pi\)
\(62\) 2.37228 4.10891i 0.301280 0.521832i
\(63\) −7.68614 + 1.98072i −0.968363 + 0.249547i
\(64\) 1.00000 0.125000
\(65\) −2.18614 8.83518i −0.271157 1.09587i
\(66\) −1.62772 + 1.73205i −0.200358 + 0.213201i
\(67\) −7.11684 4.10891i −0.869461 0.501983i −0.00229183 0.999997i \(-0.500730\pi\)
−0.867169 + 0.498014i \(0.834063\pi\)
\(68\) 0.686141 1.18843i 0.0832068 0.144118i
\(69\) −0.372281 + 1.58457i −0.0448174 + 0.190760i
\(70\) 4.37228 + 5.04868i 0.522588 + 0.603432i
\(71\) 0.558422 + 0.967215i 0.0662725 + 0.114787i 0.897258 0.441507i \(-0.145556\pi\)
−0.830985 + 0.556294i \(0.812223\pi\)
\(72\) 2.50000 1.65831i 0.294628 0.195434i
\(73\) −0.744563 −0.0871445 −0.0435722 0.999050i \(-0.513874\pi\)
−0.0435722 + 0.999050i \(0.513874\pi\)
\(74\) 7.11684 4.10891i 0.827316 0.477651i
\(75\) −0.686141 2.27567i −0.0792287 0.262772i
\(76\) −1.68614 + 2.92048i −0.193414 + 0.335002i
\(77\) −2.74456 + 2.37686i −0.312772 + 0.270868i
\(78\) −6.24456 + 0.0737384i −0.707057 + 0.00834923i
\(79\) 15.3723 1.72952 0.864758 0.502188i \(-0.167472\pi\)
0.864758 + 0.502188i \(0.167472\pi\)
\(80\) −2.18614 1.26217i −0.244418 0.141115i
\(81\) 3.50000 8.29156i 0.388889 0.921285i
\(82\) 5.31386 3.06796i 0.586818 0.338799i
\(83\) 5.04868i 0.554164i −0.960846 0.277082i \(-0.910633\pi\)
0.960846 0.277082i \(-0.0893674\pi\)
\(84\) 4.05842 2.12819i 0.442810 0.232205i
\(85\) −3.00000 + 1.73205i −0.325396 + 0.187867i
\(86\) 4.00000 0.431331
\(87\) 0.313859 1.33591i 0.0336493 0.143224i
\(88\) 0.686141 1.18843i 0.0731428 0.126687i
\(89\) −10.8030 6.23711i −1.14511 0.661132i −0.197422 0.980319i \(-0.563257\pi\)
−0.947692 + 0.319187i \(0.896590\pi\)
\(90\) −7.55842 + 0.469882i −0.796728 + 0.0495299i
\(91\) −9.50000 0.866025i −0.995871 0.0907841i
\(92\) 0.939764i 0.0979772i
\(93\) 2.37228 + 7.86797i 0.245994 + 0.815870i
\(94\) 3.68614 + 2.12819i 0.380196 + 0.219506i
\(95\) 7.37228 4.25639i 0.756380 0.436696i
\(96\) −1.18614 + 1.26217i −0.121060 + 0.128820i
\(97\) −5.37228 9.30506i −0.545473 0.944786i −0.998577 0.0533287i \(-0.983017\pi\)
0.453104 0.891457i \(-0.350316\pi\)
\(98\) 6.50000 2.59808i 0.656599 0.262445i
\(99\) −0.255437 4.10891i −0.0256724 0.412961i
\(100\) 0.686141 + 1.18843i 0.0686141 + 0.118843i
\(101\) 1.62772 2.81929i 0.161964 0.280530i −0.773609 0.633663i \(-0.781550\pi\)
0.935573 + 0.353133i \(0.114884\pi\)
\(102\) 0.686141 + 2.27567i 0.0679380 + 0.225325i
\(103\) 11.6819i 1.15105i 0.817783 + 0.575527i \(0.195203\pi\)
−0.817783 + 0.575527i \(0.804797\pi\)
\(104\) 3.50000 0.866025i 0.343203 0.0849208i
\(105\) −11.5584 0.469882i −1.12799 0.0458558i
\(106\) −12.4307 7.17687i −1.20738 0.697079i
\(107\) −3.68614 2.12819i −0.356353 0.205740i 0.311127 0.950368i \(-0.399294\pi\)
−0.667480 + 0.744628i \(0.732627\pi\)
\(108\) −0.872281 + 5.12241i −0.0839353 + 0.492905i
\(109\) 19.8997i 1.90605i −0.302891 0.953025i \(-0.597952\pi\)
0.302891 0.953025i \(-0.402048\pi\)
\(110\) −3.00000 + 1.73205i −0.286039 + 0.165145i
\(111\) −3.25544 + 13.8564i −0.308992 + 1.31519i
\(112\) −2.00000 + 1.73205i −0.188982 + 0.163663i
\(113\) 14.7446 8.51278i 1.38705 0.800815i 0.394070 0.919081i \(-0.371067\pi\)
0.992982 + 0.118266i \(0.0377335\pi\)
\(114\) −1.68614 5.59230i −0.157922 0.523767i
\(115\) −1.18614 + 2.05446i −0.110608 + 0.191579i
\(116\) 0.792287i 0.0735620i
\(117\) 7.31386 7.96916i 0.676167 0.736749i
\(118\) 9.45254i 0.870177i
\(119\) 0.686141 + 3.56529i 0.0628984 + 0.326830i
\(120\) 4.18614 1.26217i 0.382141 0.115220i
\(121\) 4.55842 + 7.89542i 0.414402 + 0.717765i
\(122\) 5.19615i 0.470438i
\(123\) −2.43070 + 10.3460i −0.219169 + 0.932869i
\(124\) −2.37228 4.10891i −0.213037 0.368991i
\(125\) 9.15759i 0.819080i
\(126\) −2.12772 + 7.64675i −0.189552 + 0.681227i
\(127\) −7.55842 + 13.0916i −0.670701 + 1.16169i 0.307004 + 0.951708i \(0.400673\pi\)
−0.977706 + 0.209981i \(0.932660\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −4.74456 + 5.04868i −0.417735 + 0.444511i
\(130\) −8.74456 2.52434i −0.766949 0.221399i
\(131\) 18.6060 1.62561 0.812806 0.582535i \(-0.197939\pi\)
0.812806 + 0.582535i \(0.197939\pi\)
\(132\) 0.686141 + 2.27567i 0.0597209 + 0.198072i
\(133\) −1.68614 8.76144i −0.146207 0.759714i
\(134\) −7.11684 + 4.10891i −0.614802 + 0.354956i
\(135\) 8.37228 10.0974i 0.720571 0.869042i
\(136\) −0.686141 1.18843i −0.0588361 0.101907i
\(137\) 0.813859 + 1.40965i 0.0695327 + 0.120434i 0.898696 0.438573i \(-0.144516\pi\)
−0.829163 + 0.559007i \(0.811183\pi\)
\(138\) 1.18614 + 1.11469i 0.100971 + 0.0948889i
\(139\) −18.1753 + 10.4935i −1.54161 + 0.890047i −0.542868 + 0.839818i \(0.682662\pi\)
−0.998738 + 0.0502287i \(0.984005\pi\)
\(140\) 6.55842 1.26217i 0.554288 0.106673i
\(141\) −7.05842 + 2.12819i −0.594426 + 0.179226i
\(142\) 1.11684 0.0937235
\(143\) 1.37228 4.75372i 0.114756 0.397526i
\(144\) −0.186141 2.99422i −0.0155117 0.249518i
\(145\) 1.00000 1.73205i 0.0830455 0.143839i
\(146\) −0.372281 + 0.644810i −0.0308102 + 0.0533649i
\(147\) −4.43070 + 11.2858i −0.365438 + 0.930836i
\(148\) 8.21782i 0.675501i
\(149\) −3.00000 5.19615i −0.245770 0.425685i 0.716578 0.697507i \(-0.245707\pi\)
−0.962348 + 0.271821i \(0.912374\pi\)
\(150\) −2.31386 0.543620i −0.188926 0.0443864i
\(151\) 3.02167i 0.245900i −0.992413 0.122950i \(-0.960765\pi\)
0.992413 0.122950i \(-0.0392355\pi\)
\(152\) 1.68614 + 2.92048i 0.136764 + 0.236882i
\(153\) −3.68614 1.83324i −0.298007 0.148209i
\(154\) 0.686141 + 3.56529i 0.0552908 + 0.287299i
\(155\) 11.9769i 0.962006i
\(156\) −3.05842 + 5.44482i −0.244870 + 0.435934i
\(157\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(158\) 7.68614 13.3128i 0.611477 1.05911i
\(159\) 23.8030 7.17687i 1.88770 0.569163i
\(160\) −2.18614 + 1.26217i −0.172830 + 0.0997832i
\(161\) 1.62772 + 1.87953i 0.128282 + 0.148128i
\(162\) −5.43070 7.17687i −0.426676 0.563868i
\(163\) −9.00000 + 5.19615i −0.704934 + 0.406994i −0.809183 0.587557i \(-0.800090\pi\)
0.104248 + 0.994551i \(0.466756\pi\)
\(164\) 6.13592i 0.479135i
\(165\) 1.37228 5.84096i 0.106832 0.454718i
\(166\) −4.37228 2.52434i −0.339355 0.195927i
\(167\) −5.74456 3.31662i −0.444528 0.256648i 0.260989 0.965342i \(-0.415951\pi\)
−0.705516 + 0.708694i \(0.749285\pi\)
\(168\) 0.186141 4.57879i 0.0143611 0.353262i
\(169\) 11.5000 6.06218i 0.884615 0.466321i
\(170\) 3.46410i 0.265684i
\(171\) 9.05842 + 4.50506i 0.692715 + 0.344510i
\(172\) 2.00000 3.46410i 0.152499 0.264135i
\(173\) −9.55842 16.5557i −0.726713 1.25870i −0.958265 0.285882i \(-0.907714\pi\)
0.231552 0.972823i \(-0.425620\pi\)
\(174\) −1.00000 0.939764i −0.0758098 0.0712433i
\(175\) −3.43070 1.18843i −0.259337 0.0898369i
\(176\) −0.686141 1.18843i −0.0517198 0.0895813i
\(177\) 11.9307 + 11.2120i 0.896767 + 0.842749i
\(178\) −10.8030 + 6.23711i −0.809718 + 0.467491i
\(179\) 1.37228 + 0.792287i 0.102569 + 0.0592183i 0.550407 0.834896i \(-0.314473\pi\)
−0.447838 + 0.894115i \(0.647806\pi\)
\(180\) −3.37228 + 6.78073i −0.251355 + 0.505406i
\(181\) 12.1244i 0.901196i −0.892727 0.450598i \(-0.851211\pi\)
0.892727 0.450598i \(-0.148789\pi\)
\(182\) −5.50000 + 7.79423i −0.407687 + 0.577747i
\(183\) −6.55842 6.16337i −0.484813 0.455609i
\(184\) −0.813859 0.469882i −0.0599985 0.0346402i
\(185\) −10.3723 + 17.9653i −0.762585 + 1.32084i
\(186\) 8.00000 + 1.87953i 0.586588 + 0.137814i
\(187\) −1.88316 −0.137710
\(188\) 3.68614 2.12819i 0.268839 0.155215i
\(189\) −7.12772 11.7557i −0.518465 0.855099i
\(190\) 8.51278i 0.617582i
\(191\) −16.3723 + 9.45254i −1.18466 + 0.683962i −0.957087 0.289800i \(-0.906411\pi\)
−0.227569 + 0.973762i \(0.573078\pi\)
\(192\) 0.500000 + 1.65831i 0.0360844 + 0.119678i
\(193\) −5.61684 3.24289i −0.404309 0.233428i 0.284032 0.958815i \(-0.408328\pi\)
−0.688342 + 0.725387i \(0.741661\pi\)
\(194\) −10.7446 −0.771415
\(195\) 13.5584 8.04290i 0.970939 0.575964i
\(196\) 1.00000 6.92820i 0.0714286 0.494872i
\(197\) 7.80298 13.5152i 0.555940 0.962916i −0.441890 0.897069i \(-0.645692\pi\)
0.997830 0.0658465i \(-0.0209748\pi\)
\(198\) −3.68614 1.83324i −0.261963 0.130283i
\(199\) 3.00000 1.73205i 0.212664 0.122782i −0.389885 0.920864i \(-0.627485\pi\)
0.602549 + 0.798082i \(0.294152\pi\)
\(200\) 1.37228 0.0970349
\(201\) 3.25544 13.8564i 0.229621 0.977356i
\(202\) −1.62772 2.81929i −0.114526 0.198365i
\(203\) −1.37228 1.58457i −0.0963153 0.111215i
\(204\) 2.31386 + 0.543620i 0.162003 + 0.0380610i
\(205\) −7.74456 + 13.4140i −0.540904 + 0.936873i
\(206\) 10.1168 + 5.84096i 0.704874 + 0.406959i
\(207\) −2.81386 + 0.174928i −0.195577 + 0.0121584i
\(208\) 1.00000 3.46410i 0.0693375 0.240192i
\(209\) 4.62772 0.320106
\(210\) −6.18614 + 9.77495i −0.426884 + 0.674535i
\(211\) −11.3723 + 19.6974i −0.782900 + 1.35602i 0.147345 + 0.989085i \(0.452927\pi\)
−0.930246 + 0.366938i \(0.880406\pi\)
\(212\) −12.4307 + 7.17687i −0.853744 + 0.492909i
\(213\) −1.32473 + 1.40965i −0.0907693 + 0.0965873i
\(214\) −3.68614 + 2.12819i −0.251979 + 0.145480i
\(215\) −8.74456 + 5.04868i −0.596374 + 0.344317i
\(216\) 4.00000 + 3.31662i 0.272166 + 0.225668i
\(217\) 11.8614 + 4.10891i 0.805205 + 0.278931i
\(218\) −17.2337 9.94987i −1.16721 0.673891i
\(219\) −0.372281 1.23472i −0.0251564 0.0834345i
\(220\) 3.46410i 0.233550i
\(221\) −3.43070 3.56529i −0.230774 0.239827i
\(222\) 10.3723 + 9.74749i 0.696142 + 0.654209i
\(223\) 3.11684 5.39853i 0.208719 0.361512i −0.742592 0.669744i \(-0.766404\pi\)
0.951311 + 0.308232i \(0.0997372\pi\)
\(224\) 0.500000 + 2.59808i 0.0334077 + 0.173591i
\(225\) 3.43070 2.27567i 0.228714 0.151711i
\(226\) 17.0256i 1.13252i
\(227\) 3.30298 1.90698i 0.219227 0.126571i −0.386365 0.922346i \(-0.626270\pi\)
0.605592 + 0.795775i \(0.292936\pi\)
\(228\) −5.68614 1.33591i −0.376574 0.0884726i
\(229\) 12.1168 0.800704 0.400352 0.916362i \(-0.368888\pi\)
0.400352 + 0.916362i \(0.368888\pi\)
\(230\) 1.18614 + 2.05446i 0.0782118 + 0.135467i
\(231\) −5.31386 3.36291i −0.349626 0.221263i
\(232\) 0.686141 + 0.396143i 0.0450473 + 0.0260081i
\(233\) 28.0627i 1.83845i 0.393737 + 0.919223i \(0.371182\pi\)
−0.393737 + 0.919223i \(0.628818\pi\)
\(234\) −3.24456 10.3186i −0.212104 0.674546i
\(235\) −10.7446 −0.700898
\(236\) −8.18614 4.72627i −0.532872 0.307654i
\(237\) 7.68614 + 25.4920i 0.499268 + 1.65589i
\(238\) 3.43070 + 1.18843i 0.222379 + 0.0770345i
\(239\) 24.6060 1.59163 0.795814 0.605541i \(-0.207043\pi\)
0.795814 + 0.605541i \(0.207043\pi\)
\(240\) 1.00000 4.25639i 0.0645497 0.274749i
\(241\) 0.627719 + 1.08724i 0.0404349 + 0.0700353i 0.885535 0.464573i \(-0.153792\pi\)
−0.845100 + 0.534609i \(0.820459\pi\)
\(242\) 9.11684 0.586053
\(243\) 15.5000 + 1.65831i 0.994325 + 0.106381i
\(244\) 4.50000 + 2.59808i 0.288083 + 0.166325i
\(245\) −10.9307 + 13.8839i −0.698337 + 0.887007i
\(246\) 7.74456 + 7.27806i 0.493775 + 0.464032i
\(247\) 8.43070 + 8.76144i 0.536433 + 0.557477i
\(248\) −4.74456 −0.301280
\(249\) 8.37228 2.52434i 0.530572 0.159973i
\(250\) 7.93070 + 4.57879i 0.501582 + 0.289588i
\(251\) 0.558422 + 0.967215i 0.0352473 + 0.0610501i 0.883111 0.469164i \(-0.155445\pi\)
−0.847864 + 0.530214i \(0.822111\pi\)
\(252\) 5.55842 + 5.66603i 0.350148 + 0.356927i
\(253\) −1.11684 + 0.644810i −0.0702154 + 0.0405389i
\(254\) 7.55842 + 13.0916i 0.474258 + 0.821438i
\(255\) −4.37228 4.10891i −0.273803 0.257310i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −11.0584 + 19.1537i −0.689805 + 1.19478i 0.282095 + 0.959386i \(0.408971\pi\)
−0.971901 + 0.235392i \(0.924363\pi\)
\(258\) 2.00000 + 6.63325i 0.124515 + 0.412968i
\(259\) 14.2337 + 16.4356i 0.884438 + 1.02126i
\(260\) −6.55842 + 6.31084i −0.406736 + 0.391382i
\(261\) 2.37228 0.147477i 0.146841 0.00912859i
\(262\) 9.30298 16.1132i 0.574740 0.995479i
\(263\) 12.0475 + 6.95565i 0.742884 + 0.428904i 0.823117 0.567872i \(-0.192233\pi\)
−0.0802332 + 0.996776i \(0.525567\pi\)
\(264\) 2.31386 + 0.543620i 0.142408 + 0.0334575i
\(265\) 36.2337 2.22582
\(266\) −8.43070 2.92048i −0.516920 0.179066i
\(267\) 4.94158 21.0333i 0.302420 1.28722i
\(268\) 8.21782i 0.501983i
\(269\) −13.9307 24.1287i −0.849370 1.47115i −0.881771 0.471677i \(-0.843649\pi\)
0.0324014 0.999475i \(-0.489684\pi\)
\(270\) −4.55842 12.2993i −0.277417 0.748511i
\(271\) 2.00000 3.46410i 0.121491 0.210429i −0.798865 0.601511i \(-0.794566\pi\)
0.920356 + 0.391082i \(0.127899\pi\)
\(272\) −1.37228 −0.0832068
\(273\) −3.31386 16.1870i −0.200564 0.979681i
\(274\) 1.62772 0.0983341
\(275\) 0.941578 1.63086i 0.0567793 0.0983446i
\(276\) 1.55842 0.469882i 0.0938060 0.0282836i
\(277\) 4.74456 + 8.21782i 0.285073 + 0.493761i 0.972627 0.232372i \(-0.0746488\pi\)
−0.687554 + 0.726133i \(0.741315\pi\)
\(278\) 20.9870i 1.25872i
\(279\) −11.8614 + 7.86797i −0.710124 + 0.471043i
\(280\) 2.18614 6.31084i 0.130647 0.377145i
\(281\) −3.25544 −0.194203 −0.0971016 0.995274i \(-0.530957\pi\)
−0.0971016 + 0.995274i \(0.530957\pi\)
\(282\) −1.68614 + 7.17687i −0.100408 + 0.427376i
\(283\) −6.55842 3.78651i −0.389858 0.225084i 0.292241 0.956345i \(-0.405599\pi\)
−0.682098 + 0.731260i \(0.738932\pi\)
\(284\) 0.558422 0.967215i 0.0331362 0.0573937i
\(285\) 10.7446 + 10.0974i 0.636453 + 0.598115i
\(286\) −3.43070 3.56529i −0.202862 0.210820i
\(287\) 10.6277 + 12.2718i 0.627334 + 0.724383i
\(288\) −2.68614 1.33591i −0.158282 0.0787191i
\(289\) 7.55842 13.0916i 0.444613 0.770092i
\(290\) −1.00000 1.73205i −0.0587220 0.101710i
\(291\) 12.7446 13.5615i 0.747099 0.794986i
\(292\) 0.372281 + 0.644810i 0.0217861 + 0.0377347i
\(293\) 14.7446 8.51278i 0.861387 0.497322i −0.00308982 0.999995i \(-0.500984\pi\)
0.864476 + 0.502673i \(0.167650\pi\)
\(294\) 7.55842 + 9.47999i 0.440816 + 0.552884i
\(295\) 11.9307 + 20.6646i 0.694632 + 1.20314i
\(296\) −7.11684 4.10891i −0.413658 0.238826i
\(297\) 6.68614 2.47805i 0.387969 0.143791i
\(298\) −6.00000 −0.347571
\(299\) −3.25544 0.939764i −0.188267 0.0543479i
\(300\) −1.62772 + 1.73205i −0.0939764 + 0.100000i
\(301\) 2.00000 + 10.3923i 0.115278 + 0.599002i
\(302\) −2.61684 1.51084i −0.150582 0.0869388i
\(303\) 5.48913 + 1.28962i 0.315342 + 0.0740868i
\(304\) 3.37228 0.193414
\(305\) −6.55842 11.3595i −0.375534 0.650444i
\(306\) −3.43070 + 2.27567i −0.196120 + 0.130091i
\(307\) 13.2337 0.755286 0.377643 0.925951i \(-0.376735\pi\)
0.377643 + 0.925951i \(0.376735\pi\)
\(308\) 3.43070 + 1.18843i 0.195482 + 0.0677171i
\(309\) −19.3723 + 5.84096i −1.10205 + 0.332281i
\(310\) 10.3723 + 5.98844i 0.589106 + 0.340121i
\(311\) 4.62772 0.262414 0.131207 0.991355i \(-0.458115\pi\)
0.131207 + 0.991355i \(0.458115\pi\)
\(312\) 3.18614 + 5.37108i 0.180380 + 0.304078i
\(313\) 13.8564i 0.783210i 0.920133 + 0.391605i \(0.128080\pi\)
−0.920133 + 0.391605i \(0.871920\pi\)
\(314\) 0 0
\(315\) −5.00000 19.4024i −0.281718 1.09320i
\(316\) −7.68614 13.3128i −0.432379 0.748903i
\(317\) −26.7446 −1.50212 −0.751062 0.660232i \(-0.770458\pi\)
−0.751062 + 0.660232i \(0.770458\pi\)
\(318\) 5.68614 24.2024i 0.318863 1.35720i
\(319\) 0.941578 0.543620i 0.0527182 0.0304369i
\(320\) 2.52434i 0.141115i
\(321\) 1.68614 7.17687i 0.0941112 0.400574i
\(322\) 2.44158 0.469882i 0.136064 0.0261855i
\(323\) 2.31386 4.00772i 0.128747 0.222996i
\(324\) −8.93070 + 1.11469i −0.496150 + 0.0619273i
\(325\) 4.80298 1.18843i 0.266422 0.0659223i
\(326\) 10.3923i 0.575577i
\(327\) 33.0000 9.94987i 1.82490 0.550229i
\(328\) −5.31386 3.06796i −0.293409 0.169400i
\(329\) −3.68614 + 10.6410i −0.203224 + 0.586656i
\(330\) −4.37228 4.10891i −0.240686 0.226188i
\(331\) −19.1168 + 11.0371i −1.05076 + 0.606655i −0.922861 0.385133i \(-0.874156\pi\)
−0.127896 + 0.991788i \(0.540822\pi\)
\(332\) −4.37228 + 2.52434i −0.239960 + 0.138541i
\(333\) −24.6060 + 1.52967i −1.34840 + 0.0838255i
\(334\) −5.74456 + 3.31662i −0.314328 + 0.181478i
\(335\) 10.3723 17.9653i 0.566698 0.981550i
\(336\) −3.87228 2.45060i −0.211250 0.133691i
\(337\) 29.6060 1.61274 0.806370 0.591411i \(-0.201429\pi\)
0.806370 + 0.591411i \(0.201429\pi\)
\(338\) 0.500000 12.9904i 0.0271964 0.706584i
\(339\) 21.4891 + 20.1947i 1.16713 + 1.09683i
\(340\) 3.00000 + 1.73205i 0.162698 + 0.0939336i
\(341\) −3.25544 + 5.63858i −0.176292 + 0.305346i
\(342\) 8.43070 5.59230i 0.455880 0.302397i
\(343\) 10.0000 + 15.5885i 0.539949 + 0.841698i
\(344\) −2.00000 3.46410i −0.107833 0.186772i
\(345\) −4.00000 0.939764i −0.215353 0.0505952i
\(346\) −19.1168 −1.02773
\(347\) −13.5475 + 7.82168i −0.727270 + 0.419890i −0.817423 0.576038i \(-0.804598\pi\)
0.0901523 + 0.995928i \(0.471265\pi\)
\(348\) −1.31386 + 0.396143i −0.0704303 + 0.0212355i
\(349\) 1.44158 2.49689i 0.0771659 0.133655i −0.824860 0.565337i \(-0.808746\pi\)
0.902026 + 0.431682i \(0.142080\pi\)
\(350\) −2.74456 + 2.37686i −0.146703 + 0.127049i
\(351\) 16.8723 + 8.14409i 0.900576 + 0.434699i
\(352\) −1.37228 −0.0731428
\(353\) −19.6277 11.3321i −1.04468 0.603145i −0.123523 0.992342i \(-0.539419\pi\)
−0.921155 + 0.389197i \(0.872753\pi\)
\(354\) 15.6753 4.72627i 0.833131 0.251198i
\(355\) −2.44158 + 1.40965i −0.129586 + 0.0748162i
\(356\) 12.4742i 0.661132i
\(357\) −5.56930 + 2.92048i −0.294758 + 0.154568i
\(358\) 1.37228 0.792287i 0.0725273 0.0418737i
\(359\) 22.3723 1.18076 0.590382 0.807124i \(-0.298977\pi\)
0.590382 + 0.807124i \(0.298977\pi\)
\(360\) 4.18614 + 6.31084i 0.220629 + 0.332611i
\(361\) 3.81386 6.60580i 0.200729 0.347674i
\(362\) −10.5000 6.06218i −0.551868 0.318621i
\(363\) −10.8139 + 11.5070i −0.567580 + 0.603961i
\(364\) 4.00000 + 8.66025i 0.209657 + 0.453921i
\(365\) 1.87953i 0.0983790i
\(366\) −8.61684 + 2.59808i −0.450410 + 0.135804i
\(367\) 8.23369 + 4.75372i 0.429795 + 0.248142i 0.699259 0.714868i \(-0.253513\pi\)
−0.269464 + 0.963010i \(0.586847\pi\)
\(368\) −0.813859 + 0.469882i −0.0424254 + 0.0244943i
\(369\) −18.3723 + 1.14214i −0.956423 + 0.0594576i
\(370\) 10.3723 + 17.9653i 0.539229 + 0.933972i
\(371\) 12.4307 35.8843i 0.645370 1.86302i
\(372\) 5.62772 5.98844i 0.291784 0.310486i
\(373\) −4.00000 6.92820i −0.207112 0.358729i 0.743691 0.668523i \(-0.233073\pi\)
−0.950804 + 0.309794i \(0.899740\pi\)
\(374\) −0.941578 + 1.63086i −0.0486878 + 0.0843298i
\(375\) −15.1861 + 4.57879i −0.784209 + 0.236448i
\(376\) 4.25639i 0.219506i
\(377\) 2.74456 + 0.792287i 0.141352 + 0.0408049i
\(378\) −13.7446 + 0.294954i −0.706944 + 0.0151708i
\(379\) −22.1168 12.7692i −1.13607 0.655908i −0.190613 0.981665i \(-0.561047\pi\)
−0.945453 + 0.325757i \(0.894381\pi\)
\(380\) −7.37228 4.25639i −0.378190 0.218348i
\(381\) −25.4891 5.98844i −1.30585 0.306797i
\(382\) 18.9051i 0.967268i
\(383\) −27.4307 + 15.8371i −1.40164 + 0.809239i −0.994561 0.104152i \(-0.966787\pi\)
−0.407082 + 0.913392i \(0.633454\pi\)
\(384\) 1.68614 + 0.396143i 0.0860455 + 0.0202156i
\(385\) −6.00000 6.92820i −0.305788 0.353094i
\(386\) −5.61684 + 3.24289i −0.285890 + 0.165059i
\(387\) −10.7446 5.34363i −0.546177 0.271632i
\(388\) −5.37228 + 9.30506i −0.272736 + 0.472393i
\(389\) 22.6641i 1.14912i 0.818463 + 0.574559i \(0.194826\pi\)
−0.818463 + 0.574559i \(0.805174\pi\)
\(390\) −0.186141 15.7634i −0.00942560 0.798210i
\(391\) 1.28962i 0.0652189i
\(392\) −5.50000 4.33013i −0.277792 0.218704i
\(393\) 9.30298 + 30.8545i 0.469273 + 1.55640i
\(394\) −7.80298 13.5152i −0.393109 0.680884i
\(395\) 38.8048i 1.95248i
\(396\) −3.43070 + 2.27567i −0.172399 + 0.114357i
\(397\) −6.87228 11.9031i −0.344910 0.597401i 0.640427 0.768019i \(-0.278757\pi\)
−0.985337 + 0.170617i \(0.945424\pi\)
\(398\) 3.46410i 0.173640i
\(399\) 13.6861 7.17687i 0.685164 0.359293i
\(400\) 0.686141 1.18843i 0.0343070 0.0594215i
\(401\) −5.74456 + 9.94987i −0.286870 + 0.496873i −0.973061 0.230548i \(-0.925948\pi\)
0.686191 + 0.727421i \(0.259281\pi\)
\(402\) −10.3723 9.74749i −0.517322 0.486161i
\(403\) −16.6060 + 4.10891i −0.827202 + 0.204679i
\(404\) −3.25544 −0.161964
\(405\) 20.9307 + 8.83518i 1.04006 + 0.439024i
\(406\) −2.05842 + 0.396143i −0.102158 + 0.0196603i
\(407\) −9.76631 + 5.63858i −0.484098 + 0.279494i
\(408\) 1.62772 1.73205i 0.0805841 0.0857493i
\(409\) −0.744563 1.28962i −0.0368163 0.0637676i 0.847030 0.531545i \(-0.178388\pi\)
−0.883846 + 0.467777i \(0.845055\pi\)
\(410\) 7.74456 + 13.4140i 0.382477 + 0.662469i
\(411\) −1.93070 + 2.05446i −0.0952346 + 0.101339i
\(412\) 10.1168 5.84096i 0.498421 0.287764i
\(413\) 24.5584 4.72627i 1.20844 0.232565i
\(414\) −1.25544 + 2.52434i −0.0617014 + 0.124064i
\(415\) 12.7446 0.625606
\(416\) −2.50000 2.59808i −0.122573 0.127381i
\(417\) −26.4891 24.8935i −1.29718 1.21904i
\(418\) 2.31386 4.00772i 0.113175 0.196024i
\(419\) −8.74456 + 15.1460i −0.427200 + 0.739932i −0.996623 0.0821127i \(-0.973833\pi\)
0.569423 + 0.822045i \(0.307167\pi\)
\(420\) 5.37228 + 10.2448i 0.262140 + 0.499896i
\(421\) 12.9715i 0.632194i −0.948727 0.316097i \(-0.897627\pi\)
0.948727 0.316097i \(-0.102373\pi\)
\(422\) 11.3723 + 19.6974i 0.553594 + 0.958853i
\(423\) −7.05842 10.6410i −0.343192 0.517382i
\(424\) 14.3537i 0.697079i
\(425\) −0.941578 1.63086i −0.0456732 0.0791084i
\(426\) 0.558422 + 1.85208i 0.0270556 + 0.0897334i
\(427\) −13.5000 + 2.59808i −0.653311 + 0.125730i
\(428\) 4.25639i 0.205740i
\(429\) 8.56930 0.101190i 0.413730 0.00488549i
\(430\) 10.0974i 0.486938i
\(431\) 9.81386 16.9981i 0.472717 0.818770i −0.526795 0.849992i \(-0.676607\pi\)
0.999512 + 0.0312223i \(0.00993997\pi\)
\(432\) 4.87228 1.80579i 0.234418 0.0868811i
\(433\) −30.3505 + 17.5229i −1.45855 + 0.842096i −0.998940 0.0460230i \(-0.985345\pi\)
−0.459613 + 0.888119i \(0.652012\pi\)
\(434\) 9.48913 8.21782i 0.455493 0.394468i
\(435\) 3.37228 + 0.792287i 0.161689 + 0.0379873i
\(436\) −17.2337 + 9.94987i −0.825344 + 0.476513i
\(437\) 3.16915i 0.151601i
\(438\) −1.25544 0.294954i −0.0599871 0.0140934i
\(439\) −30.3505 17.5229i −1.44855 0.836322i −0.450157 0.892950i \(-0.648632\pi\)
−0.998395 + 0.0566279i \(0.981965\pi\)
\(440\) 3.00000 + 1.73205i 0.143019 + 0.0825723i
\(441\) −20.9307 1.70460i −0.996700 0.0811714i
\(442\) −4.80298 + 1.18843i −0.228455 + 0.0565279i
\(443\) 11.1846i 0.531396i 0.964056 + 0.265698i \(0.0856024\pi\)
−0.964056 + 0.265698i \(0.914398\pi\)
\(444\) 13.6277 4.10891i 0.646743 0.195000i
\(445\) 15.7446 27.2704i 0.746364 1.29274i
\(446\) −3.11684 5.39853i −0.147587 0.255628i
\(447\) 7.11684 7.57301i 0.336615 0.358191i
\(448\) 2.50000 + 0.866025i 0.118114 + 0.0409159i
\(449\) −0.302985 0.524785i −0.0142987 0.0247661i 0.858788 0.512332i \(-0.171218\pi\)
−0.873086 + 0.487566i \(0.837885\pi\)
\(450\) −0.255437 4.10891i −0.0120414 0.193696i
\(451\) −7.29211 + 4.21010i −0.343372 + 0.198246i
\(452\) −14.7446 8.51278i −0.693526 0.400407i
\(453\) 5.01087 1.51084i 0.235431 0.0709852i
\(454\) 3.81396i 0.178998i
\(455\) 2.18614 23.9812i 0.102488 1.12426i
\(456\) −4.00000 + 4.25639i −0.187317 + 0.199324i
\(457\) −16.6753 9.62747i −0.780036 0.450354i 0.0564070 0.998408i \(-0.482036\pi\)
−0.836443 + 0.548054i \(0.815369\pi\)
\(458\) 6.05842 10.4935i 0.283091 0.490329i
\(459\) 1.19702 7.02939i 0.0558719 0.328104i
\(460\) 2.37228 0.110608
\(461\) 13.0693 7.54556i 0.608698 0.351432i −0.163758 0.986501i \(-0.552362\pi\)
0.772456 + 0.635069i \(0.219028\pi\)
\(462\) −5.56930 + 2.92048i −0.259107 + 0.135873i
\(463\) 30.7345i 1.42835i −0.699966 0.714176i \(-0.746801\pi\)
0.699966 0.714176i \(-0.253199\pi\)
\(464\) 0.686141 0.396143i 0.0318533 0.0183905i
\(465\) −19.8614 + 5.98844i −0.921051 + 0.277707i
\(466\) 24.3030 + 14.0313i 1.12581 + 0.649989i
\(467\) −19.6277 −0.908263 −0.454131 0.890935i \(-0.650050\pi\)
−0.454131 + 0.890935i \(0.650050\pi\)
\(468\) −10.5584 2.34941i −0.488063 0.108601i
\(469\) −14.2337 16.4356i −0.657251 0.758928i
\(470\) −5.37228 + 9.30506i −0.247805 + 0.429211i
\(471\) 0 0
\(472\) −8.18614 + 4.72627i −0.376798 + 0.217544i
\(473\) −5.48913 −0.252390
\(474\) 25.9198 + 6.08963i 1.19054 + 0.279706i
\(475\) 2.31386 + 4.00772i 0.106167 + 0.183887i
\(476\) 2.74456 2.37686i 0.125797 0.108943i
\(477\) 23.8030 + 35.8843i 1.08986 + 1.64303i
\(478\) 12.3030 21.3094i 0.562725 0.974669i
\(479\) −22.8030 13.1653i −1.04189 0.601538i −0.121526 0.992588i \(-0.538779\pi\)
−0.920369 + 0.391050i \(0.872112\pi\)
\(480\) −3.18614 2.99422i −0.145427 0.136667i
\(481\) −28.4674 8.21782i −1.29800 0.374701i
\(482\) 1.25544 0.0571836
\(483\) −2.30298 + 3.63903i −0.104789 + 0.165582i
\(484\) 4.55842 7.89542i 0.207201 0.358883i
\(485\) 23.4891 13.5615i 1.06659 0.615794i
\(486\) 9.18614 12.5942i 0.416692 0.571286i
\(487\) −9.38316 + 5.41737i −0.425191 + 0.245484i −0.697296 0.716783i \(-0.745614\pi\)
0.272105 + 0.962268i \(0.412280\pi\)
\(488\) 4.50000 2.59808i 0.203705 0.117609i
\(489\) −13.1168 12.3267i −0.593164 0.557434i
\(490\) 6.55842 + 16.4082i 0.296279 + 0.741247i
\(491\) 33.6060 + 19.4024i 1.51662 + 0.875619i 0.999810 + 0.0195166i \(0.00621272\pi\)
0.516807 + 0.856102i \(0.327121\pi\)
\(492\) 10.1753 3.06796i 0.458736 0.138314i
\(493\) 1.08724i 0.0489669i
\(494\) 11.8030 2.92048i 0.531041 0.131399i
\(495\) 10.3723 0.644810i 0.466199 0.0289821i
\(496\) −2.37228 + 4.10891i −0.106519 + 0.184496i
\(497\) 0.558422 + 2.90165i 0.0250486 + 0.130157i
\(498\) 2.00000 8.51278i 0.0896221 0.381467i
\(499\) 23.3639i 1.04591i −0.852360 0.522955i \(-0.824830\pi\)
0.852360 0.522955i \(-0.175170\pi\)
\(500\) 7.93070 4.57879i 0.354672 0.204770i
\(501\) 2.62772 11.1846i 0.117398 0.499691i
\(502\) 1.11684 0.0498472
\(503\) −11.4891 19.8997i −0.512275 0.887286i −0.999899 0.0142322i \(-0.995470\pi\)
0.487624 0.873054i \(-0.337864\pi\)
\(504\) 7.68614 1.98072i 0.342368 0.0882282i
\(505\) 7.11684 + 4.10891i 0.316695 + 0.182844i
\(506\) 1.28962i 0.0573306i
\(507\) 15.8030 + 16.0395i 0.701835 + 0.712339i
\(508\) 15.1168 0.670701
\(509\) −23.1861 13.3865i −1.02771 0.593347i −0.111381 0.993778i \(-0.535527\pi\)
−0.916327 + 0.400431i \(0.868861\pi\)
\(510\) −5.74456 + 1.73205i −0.254374 + 0.0766965i
\(511\) −1.86141 0.644810i −0.0823438 0.0285247i
\(512\) −1.00000 −0.0441942
\(513\) −2.94158 + 17.2742i −0.129874 + 0.762675i
\(514\) 11.0584 + 19.1537i 0.487766 + 0.844836i
\(515\) −29.4891 −1.29945
\(516\) 6.74456 + 1.58457i 0.296913 + 0.0697570i
\(517\) −5.05842 2.92048i −0.222469 0.128443i
\(518\) 21.3505 4.10891i 0.938089 0.180535i
\(519\) 22.6753 24.1287i 0.995334 1.05913i
\(520\) 2.18614 + 8.83518i 0.0958686 + 0.387448i
\(521\) −16.1168 −0.706092 −0.353046 0.935606i \(-0.614854\pi\)
−0.353046 + 0.935606i \(0.614854\pi\)
\(522\) 1.05842 2.12819i 0.0463259 0.0931485i
\(523\) 7.50000 + 4.33013i 0.327952 + 0.189343i 0.654932 0.755688i \(-0.272697\pi\)
−0.326979 + 0.945031i \(0.606031\pi\)
\(524\) −9.30298 16.1132i −0.406403 0.703910i
\(525\) 0.255437 6.28339i 0.0111482 0.274230i
\(526\) 12.0475 6.95565i 0.525298 0.303281i
\(527\) 3.25544 + 5.63858i 0.141809 + 0.245621i
\(528\) 1.62772 1.73205i 0.0708374 0.0753778i
\(529\) −11.0584 19.1537i −0.480801 0.832772i
\(530\) 18.1168 31.3793i 0.786945 1.36303i
\(531\) −12.6277 + 25.3909i −0.547996 + 1.10187i
\(532\) −6.74456 + 5.84096i −0.292414 + 0.253238i
\(533\) −21.2554 6.13592i −0.920675 0.265776i
\(534\) −15.7446 14.7962i −0.681334 0.640293i
\(535\) 5.37228 9.30506i 0.232264 0.402293i
\(536\) 7.11684 + 4.10891i 0.307401 + 0.177478i
\(537\) −0.627719 + 2.67181i −0.0270881 + 0.115297i
\(538\) −27.8614 −1.20119
\(539\) −8.91983 + 3.56529i −0.384204 + 0.153568i
\(540\) −12.9307 2.20193i −0.556449 0.0947561i
\(541\) 18.6101i 0.800112i −0.916491 0.400056i \(-0.868991\pi\)
0.916491 0.400056i \(-0.131009\pi\)
\(542\) −2.00000 3.46410i −0.0859074 0.148796i
\(543\) 20.1060 6.06218i 0.862830 0.260153i
\(544\) −0.686141 + 1.18843i −0.0294180 + 0.0509535i
\(545\) 50.2337 2.15177
\(546\) −15.6753 5.22360i −0.670839 0.223550i
\(547\) 31.4891 1.34638 0.673189 0.739471i \(-0.264924\pi\)
0.673189 + 0.739471i \(0.264924\pi\)
\(548\) 0.813859 1.40965i 0.0347663 0.0602171i
\(549\) 6.94158 13.9576i 0.296259 0.595696i
\(550\) −0.941578 1.63086i −0.0401490 0.0695401i
\(551\) 2.67181i 0.113823i
\(552\) 0.372281 1.58457i 0.0158453 0.0674439i
\(553\) 38.4307 + 13.3128i 1.63424 + 0.566117i
\(554\) 9.48913 0.403154
\(555\) −34.9783 8.21782i −1.48474 0.348827i
\(556\) 18.1753 + 10.4935i 0.770803 + 0.445023i
\(557\) −7.80298 + 13.5152i −0.330623 + 0.572656i −0.982634 0.185553i \(-0.940592\pi\)
0.652011 + 0.758209i \(0.273926\pi\)
\(558\) 0.883156 + 14.2063i 0.0373870 + 0.601399i
\(559\) −10.0000 10.3923i −0.422955 0.439548i
\(560\) −4.37228 5.04868i −0.184763 0.213345i
\(561\) −0.941578 3.12286i −0.0397535 0.131847i
\(562\) −1.62772 + 2.81929i −0.0686612 + 0.118925i
\(563\) 18.0000 + 31.1769i 0.758610 + 1.31395i 0.943560 + 0.331202i \(0.107454\pi\)
−0.184950 + 0.982748i \(0.559212\pi\)
\(564\) 5.37228 + 5.04868i 0.226214 + 0.212588i
\(565\) 21.4891 + 37.2203i 0.904054 + 1.56587i
\(566\) −6.55842 + 3.78651i −0.275671 + 0.159159i
\(567\) 15.9307 17.6978i 0.669027 0.743238i
\(568\) −0.558422 0.967215i −0.0234309 0.0405835i
\(569\) 19.1644 + 11.0646i 0.803413 + 0.463851i 0.844663 0.535298i \(-0.179801\pi\)
−0.0412501 + 0.999149i \(0.513134\pi\)
\(570\) 14.1168 4.25639i 0.591290 0.178281i
\(571\) 13.4891 0.564502 0.282251 0.959341i \(-0.408919\pi\)
0.282251 + 0.959341i \(0.408919\pi\)
\(572\) −4.80298 + 1.18843i −0.200823 + 0.0496908i
\(573\) −23.8614 22.4241i −0.996825 0.936780i
\(574\) 15.9416 3.06796i 0.665389 0.128054i
\(575\) −1.11684 0.644810i −0.0465756 0.0268904i
\(576\) −2.50000 + 1.65831i −0.104167 + 0.0690963i
\(577\) 40.2337 1.67495 0.837475 0.546475i \(-0.184031\pi\)
0.837475 + 0.546475i \(0.184031\pi\)
\(578\) −7.55842 13.0916i −0.314389 0.544538i
\(579\) 2.56930 10.9359i 0.106776 0.454482i
\(580\) −2.00000 −0.0830455
\(581\) 4.37228 12.6217i 0.181393 0.523636i
\(582\) −5.37228 17.8178i −0.222688 0.738573i
\(583\) 17.0584 + 9.84868i 0.706488 + 0.407891i
\(584\) 0.744563 0.0308102
\(585\) 20.1168 + 18.4627i 0.831729 + 0.763337i
\(586\) 17.0256i 0.703319i
\(587\) −5.95245 3.43665i −0.245684 0.141846i 0.372102 0.928192i \(-0.378637\pi\)
−0.617786 + 0.786346i \(0.711970\pi\)
\(588\) 11.9891 1.80579i 0.494423 0.0744695i
\(589\) −8.00000 13.8564i −0.329634 0.570943i
\(590\) 23.8614 0.982359
\(591\) 26.3139 + 6.18220i 1.08241 + 0.254302i
\(592\) −7.11684 + 4.10891i −0.292500 + 0.168875i
\(593\) 26.3306i 1.08127i 0.841258 + 0.540634i \(0.181816\pi\)
−0.841258 + 0.540634i \(0.818184\pi\)
\(594\) 1.19702 7.02939i 0.0491141 0.288419i
\(595\) −9.00000 + 1.73205i −0.368964 + 0.0710072i
\(596\) −3.00000 + 5.19615i −0.122885 + 0.212843i
\(597\) 4.37228 + 4.10891i 0.178946 + 0.168167i
\(598\) −2.44158 + 2.34941i −0.0998435 + 0.0960745i
\(599\) 13.9113i 0.568401i −0.958765 0.284200i \(-0.908272\pi\)
0.958765 0.284200i \(-0.0917281\pi\)
\(600\) 0.686141 + 2.27567i 0.0280116 + 0.0929039i
\(601\) −19.8832 11.4795i −0.811051 0.468260i 0.0362698 0.999342i \(-0.488452\pi\)
−0.847321 + 0.531082i \(0.821786\pi\)
\(602\) 10.0000 + 3.46410i 0.407570 + 0.141186i
\(603\) 24.6060 1.52967i 1.00203 0.0622930i
\(604\) −2.61684 + 1.51084i −0.106478 + 0.0614750i
\(605\) −19.9307 + 11.5070i −0.810298 + 0.467826i
\(606\) 3.86141 4.10891i 0.156859 0.166913i
\(607\) 21.3505 12.3267i 0.866591 0.500327i 0.000377344 1.00000i \(-0.499880\pi\)
0.866214 + 0.499673i \(0.166547\pi\)
\(608\) 1.68614 2.92048i 0.0683820 0.118441i
\(609\) 1.94158 3.06796i 0.0786767 0.124320i
\(610\) −13.1168 −0.531085
\(611\) −3.68614 14.8974i −0.149125 0.602683i
\(612\) 0.255437 + 4.10891i 0.0103254 + 0.166093i
\(613\) 26.2337 + 15.1460i 1.05957 + 0.611742i 0.925313 0.379204i \(-0.123802\pi\)
0.134256 + 0.990947i \(0.457136\pi\)
\(614\) 6.61684 11.4607i 0.267034 0.462517i
\(615\) −26.1168 6.13592i −1.05313 0.247424i
\(616\) 2.74456 2.37686i 0.110582 0.0957665i
\(617\) −3.30298 5.72094i −0.132973 0.230316i 0.791848 0.610718i \(-0.209119\pi\)
−0.924821 + 0.380402i \(0.875786\pi\)
\(618\) −4.62772 + 19.6974i −0.186154 + 0.792344i
\(619\) −35.4674 −1.42555 −0.712777 0.701391i \(-0.752563\pi\)
−0.712777 + 0.701391i \(0.752563\pi\)
\(620\) 10.3723 5.98844i 0.416561 0.240502i
\(621\) −1.69702 4.57879i −0.0680989 0.183741i
\(622\) 2.31386 4.00772i 0.0927773 0.160695i
\(623\) −21.6060 24.9484i −0.865625 0.999538i
\(624\) 6.24456 0.0737384i 0.249983 0.00295190i
\(625\) −29.9783 −1.19913
\(626\) 12.0000 + 6.92820i 0.479616 + 0.276907i
\(627\) 2.31386 + 7.67420i 0.0924066 + 0.306478i
\(628\) 0 0
\(629\) 11.2772i 0.449650i
\(630\) −19.3030 5.37108i −0.769049 0.213989i
\(631\) −28.5000 + 16.4545i −1.13457 + 0.655043i −0.945080 0.326841i \(-0.894016\pi\)
−0.189488 + 0.981883i \(0.560683\pi\)
\(632\) −15.3723 −0.611477
\(633\) −38.3505 9.01011i −1.52430 0.358120i
\(634\) −13.3723 + 23.1615i −0.531081 + 0.919860i
\(635\) −33.0475 19.0800i −1.31145 0.757167i
\(636\) −18.1168 17.0256i −0.718380 0.675107i
\(637\) −23.0000 10.3923i −0.911293 0.411758i
\(638\) 1.08724i 0.0430443i
\(639\) −3.00000 1.49200i −0.118678 0.0590226i
\(640\) 2.18614 + 1.26217i 0.0864148 + 0.0498916i
\(641\) −25.1644 + 14.5287i −0.993934 + 0.573848i −0.906448 0.422318i \(-0.861217\pi\)
−0.0874859 + 0.996166i \(0.527883\pi\)
\(642\) −5.37228 5.04868i −0.212027 0.199255i
\(643\) −15.6168 27.0492i −0.615868 1.06672i −0.990232 0.139433i \(-0.955472\pi\)
0.374363 0.927282i \(-0.377861\pi\)
\(644\) 0.813859 2.34941i 0.0320706 0.0925797i
\(645\) −12.7446 11.9769i −0.501817 0.471589i
\(646\) −2.31386 4.00772i −0.0910376 0.157682i
\(647\) 5.56930 9.64630i 0.218952 0.379235i −0.735536 0.677486i \(-0.763070\pi\)
0.954488 + 0.298250i \(0.0964030\pi\)
\(648\) −3.50000 + 8.29156i −0.137493 + 0.325723i
\(649\) 12.9715i 0.509178i
\(650\) 1.37228 4.75372i 0.0538253 0.186456i
\(651\) −0.883156 + 21.7244i −0.0346136 + 0.851445i
\(652\) 9.00000 + 5.19615i 0.352467 + 0.203497i
\(653\) 22.5475 + 13.0178i 0.882354 + 0.509427i 0.871434 0.490513i \(-0.163191\pi\)
0.0109200 + 0.999940i \(0.496524\pi\)
\(654\) 7.88316 33.5538i 0.308256 1.31206i
\(655\) 46.9678i 1.83518i
\(656\) −5.31386 + 3.06796i −0.207471 + 0.119784i
\(657\) 1.86141 1.23472i 0.0726204 0.0481709i
\(658\) 7.37228 + 8.51278i 0.287401 + 0.331863i
\(659\) −11.6644 + 6.73444i −0.454380 + 0.262337i −0.709678 0.704526i \(-0.751160\pi\)
0.255298 + 0.966862i \(0.417826\pi\)
\(660\) −5.74456 + 1.73205i −0.223607 + 0.0674200i
\(661\) 24.9307 43.1812i 0.969692 1.67956i 0.273249 0.961943i \(-0.411902\pi\)
0.696443 0.717613i \(-0.254765\pi\)
\(662\) 22.0742i 0.857939i
\(663\) 4.19702 7.47182i 0.162999 0.290182i
\(664\) 5.04868i 0.195927i
\(665\) 22.1168 4.25639i 0.857654 0.165056i
\(666\) −10.9783 + 22.0742i −0.425399 + 0.855359i
\(667\) −0.372281 0.644810i −0.0144148 0.0249671i
\(668\) 6.63325i 0.256648i
\(669\) 10.5109 + 2.46943i 0.406374 + 0.0954739i
\(670\) −10.3723 17.9653i −0.400716 0.694061i
\(671\) 7.13058i 0.275273i
\(672\) −4.05842 + 2.12819i −0.156557 + 0.0820969i
\(673\) 1.31386 2.27567i 0.0506456 0.0877207i −0.839591 0.543219i \(-0.817205\pi\)
0.890237 + 0.455498i \(0.150539\pi\)
\(674\) 14.8030 25.6395i 0.570190 0.987597i
\(675\) 5.48913 + 4.55134i 0.211277 + 0.175181i
\(676\) −11.0000 6.92820i −0.423077 0.266469i
\(677\) −4.37228 −0.168040 −0.0840202 0.996464i \(-0.526776\pi\)
−0.0840202 + 0.996464i \(0.526776\pi\)
\(678\) 28.2337 8.51278i 1.08431 0.326931i
\(679\) −5.37228 27.9152i −0.206169 1.07129i
\(680\) 3.00000 1.73205i 0.115045 0.0664211i
\(681\) 4.81386 + 4.52389i 0.184467 + 0.173356i
\(682\) 3.25544 + 5.63858i 0.124657 + 0.215912i
\(683\) 21.8614 + 37.8651i 0.836503 + 1.44887i 0.892800 + 0.450452i \(0.148737\pi\)
−0.0562969 + 0.998414i \(0.517929\pi\)
\(684\) −0.627719 10.0974i −0.0240014 0.386082i
\(685\) −3.55842 + 2.05446i −0.135960 + 0.0784967i
\(686\) 18.5000 0.866025i 0.706333 0.0330650i
\(687\) 6.05842 + 20.0935i 0.231143 + 0.766615i
\(688\) −4.00000 −0.152499
\(689\) 12.4307 + 50.2381i 0.473572 + 1.91392i
\(690\) −2.81386 + 2.99422i −0.107122 + 0.113988i
\(691\) −19.5584 + 33.8762i −0.744037 + 1.28871i 0.206606 + 0.978424i \(0.433758\pi\)
−0.950643 + 0.310286i \(0.899575\pi\)
\(692\) −9.55842 + 16.5557i −0.363357 + 0.629352i
\(693\) 2.91983 10.4935i 0.110915 0.398615i
\(694\) 15.6434i 0.593814i
\(695\) −26.4891 45.8805i −1.00479 1.74035i
\(696\) −0.313859 + 1.33591i −0.0118968 + 0.0506374i
\(697\) 8.42020i 0.318938i
\(698\) −1.44158 2.49689i −0.0545645 0.0945085i
\(699\) −46.5367 + 14.0313i −1.76018 + 0.530714i
\(700\) 0.686141 + 3.56529i 0.0259337 + 0.134755i
\(701\) 22.1668i 0.837229i −0.908164 0.418614i \(-0.862516\pi\)
0.908164 0.418614i \(-0.137484\pi\)
\(702\) 15.4891 10.5398i 0.584599 0.397798i
\(703\) 27.7128i 1.04521i
\(704\) −0.686141 + 1.18843i −0.0258599 + 0.0447907i
\(705\) −5.37228 17.8178i −0.202332 0.671059i
\(706\) −19.6277 + 11.3321i −0.738699 + 0.426488i
\(707\) 6.51087 5.63858i 0.244867 0.212061i
\(708\) 3.74456 15.9383i 0.140729 0.598999i
\(709\) −40.1168 + 23.1615i −1.50662 + 0.869847i −0.506649 + 0.862152i \(0.669116\pi\)
−0.999970 + 0.00769505i \(0.997551\pi\)
\(710\) 2.81929i 0.105806i
\(711\) −38.4307 + 25.4920i −1.44126 + 0.956026i
\(712\) 10.8030 + 6.23711i 0.404859 + 0.233745i
\(713\) 3.86141 + 2.22938i 0.144611 + 0.0834911i
\(714\) −0.255437 + 6.28339i −0.00955950 + 0.235150i
\(715\) 12.0000 + 3.46410i 0.448775 + 0.129550i
\(716\) 1.58457i 0.0592183i
\(717\) 12.3030 + 40.8044i 0.459463 + 1.52387i
\(718\) 11.1861 19.3750i 0.417463 0.723067i
\(719\) 3.94158 + 6.82701i 0.146996 + 0.254605i 0.930116 0.367266i \(-0.119706\pi\)
−0.783120 + 0.621871i \(0.786373\pi\)
\(720\) 7.55842 0.469882i 0.281686 0.0175115i
\(721\) −10.1168 + 29.2048i −0.376771 + 1.08764i
\(722\) −3.81386 6.60580i −0.141937 0.245842i
\(723\) −1.48913 + 1.58457i −0.0553812 + 0.0589309i
\(724\) −10.5000 + 6.06218i −0.390229 + 0.225299i
\(725\) 0.941578 + 0.543620i 0.0349693 + 0.0201896i
\(726\) 4.55842 + 15.1186i 0.169179 + 0.561103i
\(727\) 31.5817i 1.17130i −0.810564 0.585650i \(-0.800839\pi\)
0.810564 0.585650i \(-0.199161\pi\)
\(728\) 9.50000 + 0.866025i 0.352093 + 0.0320970i
\(729\) 5.00000 + 26.5330i 0.185185 + 0.982704i
\(730\) −1.62772 0.939764i −0.0602446 0.0347822i
\(731\) −2.74456 + 4.75372i −0.101511 + 0.175823i
\(732\) −2.05842 + 8.76144i −0.0760815 + 0.323832i
\(733\) 32.2554 1.19138 0.595691 0.803214i \(-0.296878\pi\)
0.595691 + 0.803214i \(0.296878\pi\)
\(734\) 8.23369 4.75372i 0.303911 0.175463i
\(735\) −28.4891 11.1846i −1.05084 0.412550i
\(736\) 0.939764i 0.0346402i
\(737\) 9.76631 5.63858i 0.359747 0.207700i
\(738\) −8.19702 + 16.4819i −0.301736 + 0.606708i
\(739\) −16.8832 9.74749i −0.621057 0.358567i 0.156223 0.987722i \(-0.450068\pi\)
−0.777280 + 0.629154i \(0.783401\pi\)
\(740\) 20.7446 0.762585
\(741\) −10.3139 + 18.3615i −0.378889 + 0.674525i
\(742\) −24.8614 28.7075i −0.912691 1.05388i
\(743\) 7.37228 12.7692i 0.270463 0.468455i −0.698518 0.715593i \(-0.746157\pi\)
0.968980 + 0.247138i \(0.0794900\pi\)
\(744\) −2.37228 7.86797i −0.0869721 0.288454i
\(745\) 13.1168 7.57301i 0.480564 0.277454i
\(746\) −8.00000 −0.292901
\(747\) 8.37228 + 12.6217i 0.306326 + 0.461803i
\(748\) 0.941578 + 1.63086i 0.0344275 + 0.0596302i
\(749\) −7.37228 8.51278i −0.269377 0.311050i
\(750\) −3.62772 + 15.4410i −0.132466 + 0.563825i
\(751\) 0.500000 0.866025i 0.0182453 0.0316017i −0.856759 0.515718i \(-0.827525\pi\)
0.875004 + 0.484116i \(0.160859\pi\)
\(752\) −3.68614 2.12819i −0.134420 0.0776073i
\(753\) −1.32473 + 1.40965i −0.0482760 + 0.0513703i
\(754\) 2.05842 1.98072i 0.0749633 0.0721335i
\(755\) 7.62772 0.277601
\(756\) −6.61684 + 12.0506i −0.240652 + 0.438277i
\(757\) −19.8614 + 34.4010i −0.721875 + 1.25032i 0.238372 + 0.971174i \(0.423386\pi\)
−0.960247 + 0.279150i \(0.909947\pi\)
\(758\) −22.1168 + 12.7692i −0.803320 + 0.463797i
\(759\) −1.62772 1.52967i −0.0590824 0.0555235i
\(760\) −7.37228 + 4.25639i −0.267421 + 0.154395i
\(761\) 14.7446 8.51278i 0.534490 0.308588i −0.208353 0.978054i \(-0.566810\pi\)
0.742843 + 0.669466i \(0.233477\pi\)
\(762\) −17.9307 + 19.0800i −0.649561 + 0.691196i
\(763\) 17.2337 49.7494i 0.623901 1.80105i
\(764\) 16.3723 + 9.45254i 0.592328 + 0.341981i
\(765\) 4.62772 9.30506i 0.167316 0.336425i
\(766\) 31.6742i 1.14444i
\(767\) −24.5584 + 23.6314i −0.886753 + 0.853279i
\(768\) 1.18614 1.26217i 0.0428012 0.0455446i
\(769\) −5.11684 + 8.86263i −0.184518 + 0.319595i −0.943414 0.331617i \(-0.892406\pi\)
0.758896 + 0.651212i \(0.225739\pi\)
\(770\) −9.00000 + 1.73205i −0.324337 + 0.0624188i
\(771\) −37.2921 8.76144i −1.34304 0.315536i
\(772\) 6.48577i 0.233428i