Properties

Label 546.2.q.e.251.1
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 251.1
Root \(-1.18614 + 1.26217i\) of defining polynomial
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.e.335.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.68614 + 0.396143i) q^{3} +(-0.500000 - 0.866025i) q^{4} +2.52434i q^{5} +(0.500000 - 1.65831i) q^{6} +(0.500000 - 2.59808i) q^{7} +1.00000 q^{8} +(2.68614 - 1.33591i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.68614 + 0.396143i) q^{3} +(-0.500000 - 0.866025i) q^{4} +2.52434i q^{5} +(0.500000 - 1.65831i) q^{6} +(0.500000 - 2.59808i) q^{7} +1.00000 q^{8} +(2.68614 - 1.33591i) 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} +(-1.00000 - 4.25639i) 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} +(-1.68614 + 0.396143i) q^{24} -1.37228 q^{25} +(-1.00000 + 3.46410i) q^{26} +(-4.00000 + 3.31662i) q^{27} +(-2.50000 + 0.866025i) q^{28} +(0.686141 + 0.396143i) q^{29} +(4.18614 + 1.26217i) q^{30} -4.74456 q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.686141 + 2.27567i) q^{33} -1.37228 q^{34} +(6.55842 + 1.26217i) q^{35} +(-2.50000 - 1.65831i) q^{36} +(7.11684 + 4.10891i) q^{37} -3.37228 q^{38} +(-5.55842 + 2.84674i) q^{39} +2.52434i q^{40} +(5.31386 + 3.06796i) q^{41} +(-4.05842 - 2.12819i) q^{42} +(2.00000 + 3.46410i) q^{43} -1.37228 q^{44} +(3.37228 + 6.78073i) q^{45} +(0.813859 - 0.469882i) q^{46} +4.25639i q^{47} +(0.500000 - 1.65831i) q^{48} +(-6.50000 - 2.59808i) q^{49} +(0.686141 - 1.18843i) q^{50} +(-1.62772 - 1.73205i) q^{51} +(-2.50000 - 2.59808i) q^{52} +14.3537i q^{53} +(-0.872281 - 5.12241i) q^{54} +(3.00000 + 1.73205i) q^{55} +(0.500000 - 2.59808i) 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} +(-2.12772 - 7.64675i) 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} +(1.55842 + 0.469882i) q^{69} +(-4.37228 + 5.04868i) q^{70} +(-0.558422 - 0.967215i) q^{71} +(2.68614 - 1.33591i) q^{72} +0.744563 q^{73} +(-7.11684 + 4.10891i) q^{74} +(2.31386 - 0.543620i) q^{75} +(1.68614 - 2.92048i) q^{76} +(-2.74456 - 2.37686i) q^{77} +(0.313859 - 6.23711i) q^{78} +15.3723 q^{79} +(-2.18614 - 1.26217i) q^{80} +(5.43070 - 7.17687i) q^{81} +(-5.31386 + 3.06796i) q^{82} -5.04868i q^{83} +(3.87228 - 2.45060i) q^{84} +(-3.00000 + 1.73205i) q^{85} -4.00000 q^{86} +(-1.31386 - 0.396143i) q^{87} +(0.686141 - 1.18843i) q^{88} +(-10.8030 - 6.23711i) q^{89} +(-7.55842 - 0.469882i) q^{90} +(-0.500000 - 9.52628i) q^{91} +0.939764i q^{92} +(8.00000 - 1.87953i) 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} +(5.50000 - 4.33013i) q^{98} +(0.255437 - 4.10891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q - 2 q^{2} - q^{3} - 2 q^{4} + 2 q^{6} + 2 q^{7} + 4 q^{8} + 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q - 2 q^{2} - q^{3} - 2 q^{4} + 2 q^{6} + 2 q^{7} + 4 q^{8} + 5 q^{9} - 3 q^{10} - 3 q^{11} - q^{12} + 14 q^{13} + 8 q^{14} - 4 q^{15} - 2 q^{16} - 3 q^{17} + 5 q^{18} + q^{19} + 3 q^{20} - 5 q^{21} - 3 q^{22} - 9 q^{23} - q^{24} + 6 q^{25} - 4 q^{26} - 16 q^{27} - 10 q^{28} - 3 q^{29} + 11 q^{30} + 4 q^{31} - 2 q^{32} + 3 q^{33} + 6 q^{34} + 9 q^{35} - 10 q^{36} - 6 q^{37} - 2 q^{38} - 5 q^{39} + 27 q^{41} + q^{42} + 8 q^{43} + 6 q^{44} + 2 q^{45} + 9 q^{46} + 2 q^{48} - 26 q^{49} - 3 q^{50} - 18 q^{51} - 10 q^{52} + 8 q^{54} + 12 q^{55} + 2 q^{56} - 16 q^{57} + 3 q^{58} + 27 q^{59} - 7 q^{60} + 18 q^{61} - 2 q^{62} - 20 q^{63} + 4 q^{64} + 3 q^{65} - 18 q^{66} + 6 q^{67} - 3 q^{68} - 11 q^{69} - 6 q^{70} + 15 q^{71} + 5 q^{72} - 20 q^{73} + 6 q^{74} + 15 q^{75} + q^{76} + 12 q^{77} + 7 q^{78} + 50 q^{79} - 3 q^{80} - 7 q^{81} - 27 q^{82} + 4 q^{84} - 12 q^{85} - 16 q^{86} - 11 q^{87} - 3 q^{88} - 3 q^{89} - 13 q^{90} - 2 q^{91} + 32 q^{93} - 9 q^{94} - 18 q^{95} - q^{96} + 10 q^{97} + 22 q^{98} + 24 q^{99}+O(q^{100}) \) 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
\(3\) −1.68614 + 0.396143i −0.973494 + 0.228714i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 2.52434i 1.12892i 0.825461 + 0.564459i \(0.190915\pi\)
−0.825461 + 0.564459i \(0.809085\pi\)
\(6\) 0.500000 1.65831i 0.204124 0.677003i
\(7\) 0.500000 2.59808i 0.188982 0.981981i
\(8\) 1.00000 0.353553
\(9\) 2.68614 1.33591i 0.895380 0.445302i
\(10\) −2.18614 1.26217i −0.691318 0.399133i
\(11\) 0.686141 1.18843i 0.206879 0.358325i −0.743851 0.668346i \(-0.767003\pi\)
0.950730 + 0.310021i \(0.100336\pi\)
\(12\) 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
\(15\) −1.00000 4.25639i −0.258199 1.09899i
\(16\) −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 0.992021 0.126074i \(-0.0402377\pi\)
−0.605194 + 0.796078i \(0.706904\pi\)
\(20\) 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 0.412744 0.910847i \(-0.364571\pi\)
−0.582445 + 0.812870i \(0.697904\pi\)
\(24\) −1.68614 + 0.396143i −0.344182 + 0.0808625i
\(25\) −1.37228 −0.274456
\(26\) −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
\(29\) 0.686141 + 0.396143i 0.127413 + 0.0735620i 0.562352 0.826898i \(-0.309897\pi\)
−0.434939 + 0.900460i \(0.643230\pi\)
\(30\) 4.18614 + 1.26217i 0.764281 + 0.230439i
\(31\) −4.74456 −0.852149 −0.426074 0.904688i \(-0.640104\pi\)
−0.426074 + 0.904688i \(0.640104\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −0.686141 + 2.27567i −0.119442 + 0.396143i
\(34\) −1.37228 −0.235344
\(35\) 6.55842 + 1.26217i 1.10858 + 0.213345i
\(36\) −2.50000 1.65831i −0.416667 0.276385i
\(37\) 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
\(39\) −5.55842 + 2.84674i −0.890060 + 0.455844i
\(40\) 2.52434i 0.399133i
\(41\) 5.31386 + 3.06796i 0.829885 + 0.479135i 0.853813 0.520579i \(-0.174284\pi\)
−0.0239280 + 0.999714i \(0.507617\pi\)
\(42\) −4.05842 2.12819i −0.626228 0.328388i
\(43\) 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
\(45\) 3.37228 + 6.78073i 0.502710 + 1.01081i
\(46\) 0.813859 0.469882i 0.119997 0.0692803i
\(47\) 4.25639i 0.620858i 0.950597 + 0.310429i \(0.100473\pi\)
−0.950597 + 0.310429i \(0.899527\pi\)
\(48\) 0.500000 1.65831i 0.0721688 0.239357i
\(49\) −6.50000 2.59808i −0.928571 0.371154i
\(50\) 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 \(0.446330\pi\)
−0.167813 + 0.985819i \(0.553670\pi\)
\(54\) −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 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 −0.183442 0.983030i \(-0.558724\pi\)
0.759608 + 0.650381i \(0.225391\pi\)
\(62\) 2.37228 4.10891i 0.301280 0.521832i
\(63\) −2.12772 7.64675i −0.268067 0.963400i
\(64\) 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
\(69\) 1.55842 + 0.469882i 0.187612 + 0.0565671i
\(70\) −4.37228 + 5.04868i −0.522588 + 0.603432i
\(71\) −0.558422 0.967215i −0.0662725 0.114787i 0.830985 0.556294i \(-0.187777\pi\)
−0.897258 + 0.441507i \(0.854444\pi\)
\(72\) 2.68614 1.33591i 0.316565 0.157438i
\(73\) 0.744563 0.0871445 0.0435722 0.999050i \(-0.486126\pi\)
0.0435722 + 0.999050i \(0.486126\pi\)
\(74\) −7.11684 + 4.10891i −0.827316 + 0.477651i
\(75\) 2.31386 0.543620i 0.267181 0.0627719i
\(76\) 1.68614 2.92048i 0.193414 0.335002i
\(77\) −2.74456 2.37686i −0.312772 0.270868i
\(78\) 0.313859 6.23711i 0.0355376 0.706213i
\(79\) 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
\(81\) 5.43070 7.17687i 0.603411 0.797430i
\(82\) −5.31386 + 3.06796i −0.586818 + 0.338799i
\(83\) 5.04868i 0.554164i −0.960846 0.277082i \(-0.910633\pi\)
0.960846 0.277082i \(-0.0893674\pi\)
\(84\) 3.87228 2.45060i 0.422501 0.267382i
\(85\) −3.00000 + 1.73205i −0.325396 + 0.187867i
\(86\) −4.00000 −0.431331
\(87\) −1.31386 0.396143i −0.140861 0.0424710i
\(88\) 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
\(91\) −0.500000 9.52628i −0.0524142 0.998625i
\(92\) 0.939764i 0.0979772i
\(93\) 8.00000 1.87953i 0.829561 0.194898i
\(94\) −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 \(0.0169831\pi\)
−0.453104 + 0.891457i \(0.649684\pi\)
\(98\) 5.50000 4.33013i 0.555584 0.437409i
\(99\) 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 \(0.114884\pi\)
\(102\) 2.31386 0.543620i 0.229106 0.0538264i
\(103\) 11.6819i 1.15105i −0.817783 0.575527i \(-0.804797\pi\)
0.817783 0.575527i \(-0.195203\pi\)
\(104\) 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 0.667480 0.744628i \(-0.267373\pi\)
−0.311127 + 0.950368i \(0.600706\pi\)
\(108\) 4.87228 + 1.80579i 0.468835 + 0.173762i
\(109\) 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
\(111\) −13.6277 4.10891i −1.29349 0.390001i
\(112\) 2.00000 + 1.73205i 0.188982 + 0.163663i
\(113\) −14.7446 + 8.51278i −1.38705 + 0.800815i −0.992982 0.118266i \(-0.962267\pi\)
−0.394070 + 0.919081i \(0.628933\pi\)
\(114\) 5.68614 1.33591i 0.532556 0.125119i
\(115\) 1.18614 2.05446i 0.110608 0.191579i
\(116\) 0.792287i 0.0735620i
\(117\) 8.24456 7.00194i 0.762210 0.647330i
\(118\) 9.45254i 0.870177i
\(119\) 3.43070 1.18843i 0.314492 0.108943i
\(120\) −1.00000 4.25639i −0.0912871 0.388553i
\(121\) 4.55842 + 7.89542i 0.414402 + 0.717765i
\(122\) 5.19615i 0.470438i
\(123\) −10.1753 3.06796i −0.917473 0.276628i
\(124\) 2.37228 + 4.10891i 0.213037 + 0.368991i
\(125\) 9.15759i 0.819080i
\(126\) 7.68614 + 1.98072i 0.684736 + 0.176456i
\(127\) −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 \(0.197939\pi\)
\(132\) 2.31386 0.543620i 0.201396 0.0473161i
\(133\) 8.43070 2.92048i 0.731035 0.253238i
\(134\) 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 0.829163 0.559007i \(-0.188817\pi\)
−0.898696 + 0.438573i \(0.855484\pi\)
\(138\) −1.18614 + 1.11469i −0.100971 + 0.0948889i
\(139\) 18.1753 10.4935i 1.54161 0.890047i 0.542868 0.839818i \(-0.317338\pi\)
0.998738 0.0502287i \(-0.0159950\pi\)
\(140\) −2.18614 6.31084i −0.184763 0.533364i
\(141\) −1.68614 7.17687i −0.141999 0.604401i
\(142\) 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
\(147\) 11.9891 + 1.80579i 0.988846 + 0.148939i
\(148\) 8.21782i 0.675501i
\(149\) 3.00000 + 5.19615i 0.245770 + 0.425685i 0.962348 0.271821i \(-0.0876260\pi\)
−0.716578 + 0.697507i \(0.754293\pi\)
\(150\) −0.686141 + 2.27567i −0.0560232 + 0.185808i
\(151\) 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
\(153\) 3.43070 + 2.27567i 0.277356 + 0.183977i
\(154\) 3.43070 1.18843i 0.276454 0.0957665i
\(155\) 11.9769i 0.962006i
\(156\) 5.24456 + 3.39036i 0.419901 + 0.271446i
\(157\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(158\) −7.68614 + 13.3128i −0.611477 + 1.05911i
\(159\) −5.68614 24.2024i −0.450940 1.91938i
\(160\) 2.18614 1.26217i 0.172830 0.0997832i
\(161\) −1.62772 + 1.87953i −0.128282 + 0.148128i
\(162\) 3.50000 + 8.29156i 0.274986 + 0.651447i
\(163\) −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
\(165\) −5.74456 1.73205i −0.447214 0.134840i
\(166\) 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
\(171\) 8.43070 + 5.59230i 0.644712 + 0.427654i
\(172\) 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
\(175\) −0.686141 + 3.56529i −0.0518674 + 0.269511i
\(176\) 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 0.447838 0.894115i \(-0.352194\pi\)
−0.550407 + 0.834896i \(0.685527\pi\)
\(180\) 4.18614 6.31084i 0.312017 0.470383i
\(181\) 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
\(183\) −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
\(186\) −2.37228 + 7.86797i −0.173944 + 0.576907i
\(187\) 1.88316 0.137710
\(188\) 3.68614 2.12819i 0.268839 0.155215i
\(189\) 6.61684 + 12.0506i 0.481305 + 0.876553i
\(190\) 8.51278i 0.617582i
\(191\) 16.3723 9.45254i 1.18466 0.683962i 0.227569 0.973762i \(-0.426922\pi\)
0.957087 + 0.289800i \(0.0935888\pi\)
\(192\) −1.68614 + 0.396143i −0.121687 + 0.0285892i
\(193\) −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
\(195\) −7.18614 14.0313i −0.514610 1.00480i
\(196\) 1.00000 + 6.92820i 0.0714286 + 0.494872i
\(197\) −7.80298 + 13.5152i −0.555940 + 0.962916i 0.441890 + 0.897069i \(0.354308\pi\)
−0.997830 + 0.0658465i \(0.979025\pi\)
\(198\) 3.43070 + 2.27567i 0.243809 + 0.161725i
\(199\) −3.00000 + 1.73205i −0.212664 + 0.122782i −0.602549 0.798082i \(-0.705848\pi\)
0.389885 + 0.920864i \(0.372515\pi\)
\(200\) −1.37228 −0.0970349
\(201\) 13.6277 + 4.10891i 0.961225 + 0.289820i
\(202\) 1.62772 + 2.81929i 0.114526 + 0.198365i
\(203\) 1.37228 1.58457i 0.0963153 0.111215i
\(204\) −0.686141 + 2.27567i −0.0480395 + 0.159329i
\(205\) −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
\(210\) 5.37228 10.2448i 0.370723 0.706960i
\(211\) −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
\(217\) −2.37228 + 12.3267i −0.161041 + 0.836793i
\(218\) 17.2337 + 9.94987i 1.16721 + 0.673891i
\(219\) −1.25544 + 0.294954i −0.0848346 + 0.0199311i
\(220\) 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 −0.951311 0.308232i \(-0.900263\pi\)
0.742592 + 0.669744i \(0.233596\pi\)
\(224\) −2.50000 + 0.866025i −0.167038 + 0.0578638i
\(225\) −3.68614 + 1.83324i −0.245743 + 0.122216i
\(226\) 17.0256i 1.13252i
\(227\) 3.30298 1.90698i 0.219227 0.126571i −0.386365 0.922346i \(-0.626270\pi\)
0.605592 + 0.795775i \(0.292936\pi\)
\(228\) −1.68614 + 5.59230i −0.111667 + 0.370359i
\(229\) −12.1168 −0.800704 −0.400352 0.916362i \(-0.631112\pi\)
−0.400352 + 0.916362i \(0.631112\pi\)
\(230\) 1.18614 + 2.05446i 0.0782118 + 0.135467i
\(231\) 5.56930 + 2.92048i 0.366433 + 0.192154i
\(232\) 0.686141 + 0.396143i 0.0450473 + 0.0260081i
\(233\) 28.0627i 1.83845i −0.393737 0.919223i \(-0.628818\pi\)
0.393737 0.919223i \(-0.371182\pi\)
\(234\) 1.94158 + 10.6410i 0.126925 + 0.695622i
\(235\) −10.7446 −0.700898
\(236\) −8.18614 4.72627i −0.532872 0.307654i
\(237\) −25.9198 + 6.08963i −1.68367 + 0.395564i
\(238\) −0.686141 + 3.56529i −0.0444759 + 0.231104i
\(239\) −24.6060 −1.59163 −0.795814 0.605541i \(-0.792957\pi\)
−0.795814 + 0.605541i \(0.792957\pi\)
\(240\) 4.18614 + 1.26217i 0.270214 + 0.0814727i
\(241\) −0.627719 1.08724i −0.0404349 0.0700353i 0.845100 0.534609i \(-0.179541\pi\)
−0.885535 + 0.464573i \(0.846208\pi\)
\(242\) −9.11684 −0.586053
\(243\) −6.31386 + 14.2525i −0.405034 + 0.914302i
\(244\) −4.50000 2.59808i −0.288083 0.166325i
\(245\) 6.55842 16.4082i 0.419002 1.04828i
\(246\) 7.74456 7.27806i 0.493775 0.464032i
\(247\) 8.43070 + 8.76144i 0.536433 + 0.557477i
\(248\) −4.74456 −0.301280
\(249\) 2.00000 + 8.51278i 0.126745 + 0.539475i
\(250\) −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 \(0.924363\pi\)
\(258\) 6.74456 1.58457i 0.419898 0.0986513i
\(259\) 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 0.0802332 0.996776i \(-0.474433\pi\)
−0.823117 + 0.567872i \(0.807767\pi\)
\(264\) −0.686141 + 2.27567i −0.0422290 + 0.140058i
\(265\) −36.2337 −2.22582
\(266\) −1.68614 + 8.76144i −0.103384 + 0.537199i
\(267\) 20.6861 + 6.23711i 1.26597 + 0.381705i
\(268\) 8.21782i 0.501983i
\(269\) −13.9307 24.1287i −0.849370 1.47115i −0.881771 0.471677i \(-0.843649\pi\)
0.0324014 0.999475i \(-0.489684\pi\)
\(270\) 12.9307 2.20193i 0.786938 0.134005i
\(271\) −2.00000 + 3.46410i −0.121491 + 0.210429i −0.920356 0.391082i \(-0.872101\pi\)
0.798865 + 0.601511i \(0.205434\pi\)
\(272\) −1.37228 −0.0832068
\(273\) 4.61684 + 15.8646i 0.279424 + 0.960168i
\(274\) 1.62772 0.0983341
\(275\) −0.941578 + 1.63086i −0.0567793 + 0.0983446i
\(276\) −0.372281 1.58457i −0.0224087 0.0953801i
\(277\) 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
\(279\) −12.7446 + 6.33830i −0.762997 + 0.379464i
\(280\) 6.55842 + 1.26217i 0.391941 + 0.0754290i
\(281\) 3.25544 0.194203 0.0971016 0.995274i \(-0.469043\pi\)
0.0971016 + 0.995274i \(0.469043\pi\)
\(282\) 7.05842 + 2.12819i 0.420323 + 0.126732i
\(283\) 6.55842 + 3.78651i 0.389858 + 0.225084i 0.682098 0.731260i \(-0.261068\pi\)
−0.292241 + 0.956345i \(0.594401\pi\)
\(284\) −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
\(288\) −2.50000 1.65831i −0.147314 0.0977170i
\(289\) 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
\(297\) 1.19702 + 7.02939i 0.0694579 + 0.407887i
\(298\) −6.00000 −0.347571
\(299\) −3.25544 0.939764i −0.188267 0.0543479i
\(300\) −1.62772 1.73205i −0.0939764 0.100000i
\(301\) 10.0000 3.46410i 0.576390 0.199667i
\(302\) 2.61684 + 1.51084i 0.150582 + 0.0869388i
\(303\) −1.62772 + 5.39853i −0.0935100 + 0.310138i
\(304\) −3.37228 −0.193414
\(305\) 6.55842 + 11.3595i 0.375534 + 0.650444i
\(306\) −3.68614 + 1.83324i −0.210723 + 0.104799i
\(307\) −13.2337 −0.755286 −0.377643 0.925951i \(-0.623265\pi\)
−0.377643 + 0.925951i \(0.623265\pi\)
\(308\) −0.686141 + 3.56529i −0.0390965 + 0.203151i
\(309\) 4.62772 + 19.6974i 0.263262 + 1.12054i
\(310\) 10.3723 + 5.98844i 0.589106 + 0.340121i
\(311\) 4.62772 0.262414 0.131207 0.991355i \(-0.458115\pi\)
0.131207 + 0.991355i \(0.458115\pi\)
\(312\) −5.55842 + 2.84674i −0.314684 + 0.161165i
\(313\) 13.8564i 0.783210i −0.920133 0.391605i \(-0.871920\pi\)
0.920133 0.391605i \(-0.128080\pi\)
\(314\) 0 0
\(315\) 19.3030 5.37108i 1.08760 0.302626i
\(316\) −7.68614 13.3128i −0.432379 0.748903i
\(317\) 26.7446 1.50212 0.751062 0.660232i \(-0.229542\pi\)
0.751062 + 0.660232i \(0.229542\pi\)
\(318\) 23.8030 + 7.17687i 1.33481 + 0.402459i
\(319\) 0.941578 0.543620i 0.0527182 0.0304369i
\(320\) 2.52434i 0.141115i
\(321\) −7.05842 2.12819i −0.393963 0.118784i
\(322\) −0.813859 2.34941i −0.0453546 0.130927i
\(323\) −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
\(327\) 7.88316 + 33.5538i 0.435940 + 1.85553i
\(328\) 5.31386 + 3.06796i 0.293409 + 0.169400i
\(329\) 11.0584 + 2.12819i 0.609671 + 0.117331i
\(330\) 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
\(336\) −4.05842 2.12819i −0.221405 0.116103i
\(337\) 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
\(342\) −9.05842 + 4.50506i −0.489823 + 0.243605i
\(343\) −10.0000 + 15.5885i −0.539949 + 0.841698i
\(344\) 2.00000 + 3.46410i 0.107833 + 0.186772i
\(345\) −1.18614 + 3.93398i −0.0638597 + 0.211799i
\(346\) 19.1168 1.02773
\(347\) 13.5475 7.82168i 0.727270 0.419890i −0.0901523 0.995928i \(-0.528735\pi\)
0.817423 + 0.576038i \(0.195402\pi\)
\(348\) 0.313859 + 1.33591i 0.0168246 + 0.0716121i
\(349\) −1.44158 + 2.49689i −0.0771659 + 0.133655i −0.902026 0.431682i \(-0.857920\pi\)
0.824860 + 0.565337i \(0.191254\pi\)
\(350\) −2.74456 2.37686i −0.146703 0.127049i
\(351\) −11.1277 + 15.0723i −0.593954 + 0.804499i
\(352\) −1.37228 −0.0731428
\(353\) −19.6277 11.3321i −1.04468 0.603145i −0.123523 0.992342i \(-0.539419\pi\)
−0.921155 + 0.389197i \(0.872753\pi\)
\(354\) −3.74456 15.9383i −0.199021 0.847112i
\(355\) 2.44158 1.40965i 0.129586 0.0748162i
\(356\) 12.4742i 0.661132i
\(357\) −5.31386 + 3.36291i −0.281239 + 0.177984i
\(358\) 1.37228 0.792287i 0.0725273 0.0418737i
\(359\) −22.3723 −1.18076 −0.590382 0.807124i \(-0.701023\pi\)
−0.590382 + 0.807124i \(0.701023\pi\)
\(360\) 3.37228 + 6.78073i 0.177735 + 0.357376i
\(361\) 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
\(364\) −8.00000 + 5.19615i −0.419314 + 0.272352i
\(365\) 1.87953i 0.0983790i
\(366\) −2.05842 8.76144i −0.107595 0.457968i
\(367\) −8.23369 4.75372i −0.429795 0.248142i 0.269464 0.963010i \(-0.413153\pi\)
−0.699259 + 0.714868i \(0.746487\pi\)
\(368\) 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
\(371\) 37.2921 + 7.17687i 1.93611 + 0.372605i
\(372\) −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
\(375\) −3.62772 15.4410i −0.187335 0.797369i
\(376\) 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
\(381\) 7.55842 25.0684i 0.387230 1.28430i
\(382\) 18.9051i 0.967268i
\(383\) −27.4307 + 15.8371i −1.40164 + 0.809239i −0.994561 0.104152i \(-0.966787\pi\)
−0.407082 + 0.913392i \(0.633454\pi\)
\(384\) 0.500000 1.65831i 0.0255155 0.0846254i
\(385\) 6.00000 6.92820i 0.305788 0.353094i
\(386\) 5.61684 3.24289i 0.285890 0.165059i
\(387\) 10.0000 + 6.63325i 0.508329 + 0.337187i
\(388\) 5.37228 9.30506i 0.272736 0.472393i
\(389\) 22.6641i 1.14912i −0.818463 0.574559i \(-0.805174\pi\)
0.818463 0.574559i \(-0.194826\pi\)
\(390\) 15.7446 + 0.792287i 0.797257 + 0.0401190i
\(391\) 1.28962i 0.0652189i
\(392\) −6.50000 2.59808i −0.328300 0.131223i
\(393\) −31.3723 + 7.37063i −1.58252 + 0.371799i
\(394\) −7.80298 13.5152i −0.393109 0.680884i
\(395\) 38.8048i 1.95248i
\(396\) −3.68614 + 1.83324i −0.185236 + 0.0921238i
\(397\) 6.87228 + 11.9031i 0.344910 + 0.597401i 0.985337 0.170617i \(-0.0545761\pi\)
−0.640427 + 0.768019i \(0.721243\pi\)
\(398\) 3.46410i 0.173640i
\(399\) −13.0584 + 8.26411i −0.653739 + 0.413723i
\(400\) 0.686141 1.18843i 0.0343070 0.0594215i
\(401\) 5.74456 9.94987i 0.286870 0.496873i −0.686191 0.727421i \(-0.740719\pi\)
0.973061 + 0.230548i \(0.0740520\pi\)
\(402\) −10.3723 + 9.74749i −0.517322 + 0.486161i
\(403\) −16.6060 + 4.10891i −0.827202 + 0.204679i
\(404\) −3.25544 −0.161964
\(405\) 18.1168 + 13.7089i 0.900233 + 0.681202i
\(406\) 0.686141 + 1.98072i 0.0340526 + 0.0983014i
\(407\) 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 0.883846 0.467777i \(-0.154945\pi\)
−0.847030 + 0.531545i \(0.821612\pi\)
\(410\) −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
\(413\) −8.18614 23.6314i −0.402814 1.16282i
\(414\) 1.55842 2.34941i 0.0765923 0.115467i
\(415\) 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 \(0.307167\pi\)
\(420\) 6.18614 + 9.77495i 0.301853 + 0.476969i
\(421\) 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
\(423\) 5.68614 + 11.4333i 0.276470 + 0.555904i
\(424\) 14.3537i 0.697079i
\(425\) −0.941578 1.63086i −0.0456732 0.0791084i
\(426\) −1.88316 + 0.442430i −0.0912392 + 0.0214358i
\(427\) −4.50000 12.9904i −0.217770 0.628649i
\(428\) 4.25639i 0.205740i
\(429\) −0.430703 + 8.55906i −0.0207946 + 0.413236i
\(430\) 10.0974i 0.486938i
\(431\) −9.81386 + 16.9981i −0.472717 + 0.818770i −0.999512 0.0312223i \(-0.990060\pi\)
0.526795 + 0.849992i \(0.323393\pi\)
\(432\) −0.872281 5.12241i −0.0419677 0.246452i
\(433\) 30.3505 17.5229i 1.45855 0.842096i 0.459613 0.888119i \(-0.347988\pi\)
0.998940 + 0.0460230i \(0.0146548\pi\)
\(434\) −9.48913 8.21782i −0.455493 0.394468i
\(435\) 1.00000 3.31662i 0.0479463 0.159020i
\(436\) −17.2337 + 9.94987i −0.825344 + 0.476513i
\(437\) 3.16915i 0.151601i
\(438\) 0.372281 1.23472i 0.0177883 0.0589971i
\(439\) 30.3505 + 17.5229i 1.44855 + 0.836322i 0.998395 0.0566279i \(-0.0180349\pi\)
0.450157 + 0.892950i \(0.351368\pi\)
\(440\) 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 \(-0.914398\pi\)
0.964056 0.265698i \(-0.0856024\pi\)
\(444\) 3.25544 + 13.8564i 0.154496 + 0.657596i
\(445\) 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
\(448\) 0.500000 2.59808i 0.0236228 0.122748i
\(449\) 0.302985 + 0.524785i 0.0142987 + 0.0247661i 0.873086 0.487566i \(-0.162115\pi\)
−0.858788 + 0.512332i \(0.828782\pi\)
\(450\) 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
\(453\) 1.19702 + 5.09496i 0.0562407 + 0.239382i
\(454\) 3.81396i 0.178998i
\(455\) 24.0475 1.26217i 1.12737 0.0591714i
\(456\) −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
\(459\) −6.68614 2.47805i −0.312082 0.115666i
\(460\) −2.37228 −0.110608
\(461\) 13.0693 7.54556i 0.608698 0.351432i −0.163758 0.986501i \(-0.552362\pi\)
0.772456 + 0.635069i \(0.219028\pi\)
\(462\) −5.31386 + 3.36291i −0.247223 + 0.156457i
\(463\) 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
\(465\) 4.74456 + 20.1947i 0.220024 + 0.936507i
\(466\) 24.3030 + 14.0313i 1.12581 + 0.649989i
\(467\) −19.6277 −0.908263 −0.454131 0.890935i \(-0.650050\pi\)
−0.454131 + 0.890935i \(0.650050\pi\)
\(468\) −10.1861 3.63903i −0.470855 0.168214i
\(469\) −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
\(474\) 7.68614 25.4920i 0.353036 1.17089i
\(475\) −2.31386 4.00772i −0.106167 0.183887i
\(476\) −2.74456 2.37686i −0.125797 0.108943i
\(477\) 19.1753 + 38.5562i 0.877975 + 1.76537i
\(478\) 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
\(483\) 2.00000 3.81396i 0.0910032 0.173541i
\(484\) 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
\(490\) 10.9307 + 13.8839i 0.493799 + 0.627209i
\(491\) −33.6060 19.4024i −1.51662 0.875619i −0.999810 0.0195166i \(-0.993787\pi\)
−0.516807 0.856102i \(-0.672879\pi\)
\(492\) 2.43070 + 10.3460i 0.109585 + 0.466435i
\(493\) 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
\(497\) −2.79211 + 0.967215i −0.125243 + 0.0433855i
\(498\) −8.37228 2.52434i −0.375171 0.113118i
\(499\) 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
\(501\) 11.0000 + 3.31662i 0.491444 + 0.148176i
\(502\) −1.11684 −0.0498472
\(503\) −11.4891 19.8997i −0.512275 0.887286i −0.999899 0.0142322i \(-0.995470\pi\)
0.487624 0.873054i \(-0.337864\pi\)
\(504\) −2.12772 7.64675i −0.0947761 0.340613i
\(505\) 7.11684 + 4.10891i 0.316695 + 0.182844i
\(506\) 1.28962i 0.0573306i
\(507\) −16.9891 + 14.7773i −0.754514 + 0.656284i
\(508\) 15.1168 0.670701
\(509\) −23.1861 13.3865i −1.02771 0.593347i −0.111381 0.993778i \(-0.535527\pi\)
−0.916327 + 0.400431i \(0.868861\pi\)
\(510\) 1.37228 + 5.84096i 0.0607656 + 0.258642i
\(511\) 0.372281 1.93443i 0.0164688 0.0855742i
\(512\) 1.00000 0.0441942
\(513\) −16.4307 6.08963i −0.725433 0.268864i
\(514\) −11.0584 19.1537i −0.487766 0.844836i
\(515\) 29.4891 1.29945
\(516\) −2.00000 + 6.63325i −0.0880451 + 0.292013i
\(517\) 5.05842 + 2.92048i 0.222469 + 0.128443i
\(518\) 7.11684 + 20.5446i 0.312696 + 0.902676i
\(519\) 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 \(0.614854\pi\)
\(522\) −1.31386 + 1.98072i −0.0575061 + 0.0866936i
\(523\) −7.50000 4.33013i −0.327952 0.189343i 0.326979 0.945031i \(-0.393969\pi\)
−0.654932 + 0.755688i \(0.727303\pi\)
\(524\) −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
\(531\) 15.6753 23.6314i 0.680249 1.02551i
\(532\) −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
\(537\) 2.62772 + 0.792287i 0.113394 + 0.0341897i
\(538\) 27.8614 1.20119
\(539\) −7.54755 + 5.94215i −0.325096 + 0.255947i
\(540\) −4.55842 + 12.2993i −0.196163 + 0.529277i
\(541\) 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
\(543\) −4.80298 20.4434i −0.206116 0.877309i
\(544\) 0.686141 1.18843i 0.0294180 0.0509535i
\(545\) 50.2337 2.15177
\(546\) −16.0475 3.93398i −0.686772 0.168359i
\(547\) 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
\(549\) 8.61684 12.9904i 0.367758 0.554416i
\(550\) −0.941578 1.63086i −0.0401490 0.0695401i
\(551\) 2.67181i 0.113823i
\(552\) 1.55842 + 0.469882i 0.0663308 + 0.0199995i
\(553\) 7.68614 39.9384i 0.326848 1.69835i
\(554\) −9.48913 −0.403154
\(555\) 10.3723 34.4010i 0.440279 1.46024i
\(556\) −18.1753 10.4935i −0.770803 0.445023i
\(557\) 7.80298 13.5152i 0.330623 0.572656i −0.652011 0.758209i \(-0.726074\pi\)
0.982634 + 0.185553i \(0.0594078\pi\)
\(558\) 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
\(561\) −3.17527 + 0.746000i −0.134060 + 0.0314961i
\(562\) −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 0.0412501 0.999149i \(-0.486866\pi\)
−0.844663 + 0.535298i \(0.820199\pi\)
\(570\) 3.37228 + 14.3537i 0.141249 + 0.601212i
\(571\) 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
\(574\) 5.31386 + 15.3398i 0.221796 + 0.640270i
\(575\) 1.11684 + 0.644810i 0.0465756 + 0.0268904i
\(576\) 2.68614 1.33591i 0.111923 0.0556628i
\(577\) −40.2337 −1.67495 −0.837475 0.546475i \(-0.815969\pi\)
−0.837475 + 0.546475i \(0.815969\pi\)
\(578\) 7.55842 + 13.0916i 0.314389 + 0.544538i
\(579\) 10.7554 + 3.24289i 0.446981 + 0.134770i
\(580\) 2.00000 0.0830455
\(581\) −13.1168 2.52434i −0.544178 0.104727i
\(582\) 18.1168 4.25639i 0.750967 0.176433i
\(583\) 17.0584 + 9.84868i 0.706488 + 0.407891i
\(584\) 0.744563 0.0308102
\(585\) 17.6753 + 20.8121i 0.730782 + 0.860473i
\(586\) 17.0256i 0.703319i
\(587\) −5.95245 3.43665i −0.245684 0.141846i 0.372102 0.928192i \(-0.378637\pi\)
−0.617786 + 0.786346i \(0.711970\pi\)
\(588\) −4.43070 11.2858i −0.182719 0.465418i
\(589\) −8.00000 13.8564i −0.329634 0.570943i
\(590\) −23.8614 −0.982359
\(591\) 7.80298 25.8796i 0.320972 1.06454i
\(592\) −7.11684 + 4.10891i −0.292500 + 0.168875i
\(593\) 26.3306i 1.08127i 0.841258 + 0.540634i \(0.181816\pi\)
−0.841258 + 0.540634i \(0.818184\pi\)
\(594\) −6.68614 2.47805i −0.274336 0.101676i
\(595\) 3.00000 + 8.66025i 0.122988 + 0.355036i
\(596\) 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 \(0.0917281\pi\)
−0.958765 + 0.284200i \(0.908272\pi\)
\(600\) 2.31386 0.543620i 0.0944629 0.0221932i
\(601\) 19.8832 + 11.4795i 0.811051 + 0.468260i 0.847321 0.531082i \(-0.178214\pi\)
−0.0362698 + 0.999342i \(0.511548\pi\)
\(602\) −2.00000 + 10.3923i −0.0815139 + 0.423559i
\(603\) −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 −0.866214 0.499673i \(-0.833453\pi\)
−0.000377344 1.00000i \(0.500120\pi\)
\(608\) 1.68614 2.92048i 0.0683820 0.118441i
\(609\) −1.68614 + 3.21543i −0.0683259 + 0.130296i
\(610\) −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
\(615\) 7.74456 25.6858i 0.312291 1.03575i
\(616\) −2.74456 2.37686i −0.110582 0.0957665i
\(617\) 3.30298 + 5.72094i 0.132973 + 0.230316i 0.924821 0.380402i \(-0.124214\pi\)
−0.791848 + 0.610718i \(0.790881\pi\)
\(618\) −19.3723 5.84096i −0.779267 0.234958i
\(619\) 35.4674 1.42555 0.712777 0.701391i \(-0.247437\pi\)
0.712777 + 0.701391i \(0.247437\pi\)
\(620\) −10.3723 + 5.98844i −0.416561 + 0.240502i
\(621\) 4.81386 0.819738i 0.193174 0.0328950i
\(622\) −2.31386 + 4.00772i −0.0927773 + 0.160695i
\(623\) −21.6060 + 24.9484i −0.865625 + 0.999538i
\(624\) 0.313859 6.23711i 0.0125644 0.249684i
\(625\) −29.9783 −1.19913
\(626\) 12.0000 + 6.92820i 0.479616 + 0.276907i
\(627\) −7.80298 + 1.83324i −0.311621 + 0.0732126i
\(628\) 0 0
\(629\) 11.2772i 0.449650i
\(630\) −5.00000 + 19.4024i −0.199205 + 0.773011i
\(631\) −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
\(633\) 11.3723 37.7176i 0.452008 1.49914i
\(634\) −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
\(637\) −25.0000 3.46410i −0.990536 0.137253i
\(638\) 1.08724i 0.0430443i
\(639\) −2.79211 1.85208i −0.110454 0.0732670i
\(640\) −2.18614 1.26217i −0.0864148 0.0498916i
\(641\) 25.1644 14.5287i 0.993934 0.573848i 0.0874859 0.996166i \(-0.472117\pi\)
0.906448 + 0.422318i \(0.138783\pi\)
\(642\) 5.37228 5.04868i 0.212027 0.199255i
\(643\) 15.6168 + 27.0492i 0.615868 + 1.06672i 0.990232 + 0.139433i \(0.0445280\pi\)
−0.374363 + 0.927282i \(0.622139\pi\)
\(644\) 2.44158 + 0.469882i 0.0962117 + 0.0185159i
\(645\) 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 \(0.0964030\pi\)
\(648\) 5.43070 7.17687i 0.213338 0.281934i
\(649\) 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 −0.0109200 0.999940i \(-0.503476\pi\)
−0.871434 + 0.490513i \(0.836809\pi\)
\(654\) −33.0000 9.94987i −1.29040 0.389071i
\(655\) 46.9678i 1.83518i
\(656\) −5.31386 + 3.06796i −0.207471 + 0.119784i
\(657\) 2.00000 0.994667i 0.0780274 0.0388056i
\(658\) −7.37228 + 8.51278i −0.287401 + 0.331863i
\(659\) 11.6644 6.73444i 0.454380 0.262337i −0.255298 0.966862i \(-0.582174\pi\)
0.709678 + 0.704526i \(0.248840\pi\)
\(660\) 1.37228 + 5.84096i 0.0534160 + 0.227359i
\(661\) −24.9307 + 43.1812i −0.969692 + 1.67956i −0.273249 + 0.961943i \(0.588098\pi\)
−0.696443 + 0.717613i \(0.745235\pi\)
\(662\) 22.0742i 0.857939i
\(663\) −7.19702 4.65253i −0.279509 0.180689i
\(664\) 5.04868i 0.195927i
\(665\) 7.37228 + 21.2819i 0.285885 + 0.825278i
\(666\) −13.6277 + 20.5446i −0.528063 + 0.796085i
\(667\) −0.372281 0.644810i −0.0144148 0.0249671i
\(668\) 6.63325i 0.256648i
\(669\) 3.11684 10.3374i 0.120504 0.399667i
\(670\) 10.3723 + 17.9653i 0.400716 + 0.694061i
\(671\) 7.13058i 0.275273i
\(672\) 3.87228 2.45060i 0.149376 0.0945339i
\(673\) 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 \(0.526776\pi\)
\(678\) 6.74456 + 28.7075i 0.259023 + 1.10250i
\(679\) 26.8614 9.30506i 1.03085 0.357096i
\(680\) −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 \(-0.851263\pi\)
0.0562969 0.998414i \(-0.482071\pi\)
\(684\) 0.627719 10.0974i 0.0240014 0.386082i
\(685\) 3.55842 2.05446i 0.135960 0.0784967i
\(686\) −8.50000 16.4545i −0.324532 0.628235i
\(687\) 20.4307 4.80001i 0.779480 0.183132i
\(688\) −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 \(-0.566242\pi\)
0.950643 0.310286i \(-0.100425\pi\)
\(692\) −9.55842 + 16.5557i −0.363357 + 0.629352i
\(693\) −10.5475 2.71810i −0.400668 0.103252i
\(694\) 15.6434i 0.593814i
\(695\) 26.4891 + 45.8805i 1.00479 + 1.74035i
\(696\) −1.31386 0.396143i −0.0498017 0.0150158i
\(697\) 8.42020i 0.318938i
\(698\) −1.44158 2.49689i −0.0545645 0.0945085i
\(699\) 11.1168 + 47.3176i 0.420478 + 1.78972i
\(700\) 3.43070 1.18843i 0.129668 0.0449185i
\(701\) 22.1668i 0.837229i 0.908164 + 0.418614i \(0.137484\pi\)
−0.908164 + 0.418614i \(0.862516\pi\)
\(702\) −7.48913 17.1730i −0.282659 0.648154i
\(703\) 27.7128i 1.04521i
\(704\) 0.686141 1.18843i 0.0258599 0.0447907i
\(705\) 18.1168 4.25639i 0.682320 0.160305i
\(706\) 19.6277 11.3321i 0.738699 0.426488i
\(707\) −6.51087 5.63858i −0.244867 0.212061i
\(708\) 15.6753 + 4.72627i 0.589113 + 0.177624i
\(709\) −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
\(711\) 41.2921 20.5359i 1.54858 0.770158i
\(712\) −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
\(717\) 41.4891 9.74749i 1.54944 0.364027i
\(718\) 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
\(721\) −30.3505 5.84096i −1.13031 0.217529i
\(722\) 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
\(726\) 15.3723 3.61158i 0.570519 0.134038i
\(727\) 31.5817i 1.17130i 0.810564 + 0.585650i \(0.199161\pi\)
−0.810564 + 0.585650i \(0.800839\pi\)
\(728\) −0.500000 9.52628i −0.0185312 0.353067i
\(729\) 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
\(732\) 8.61684 + 2.59808i 0.318488 + 0.0960277i
\(733\) −32.2554 −1.19138 −0.595691 0.803214i \(-0.703122\pi\)
−0.595691 + 0.803214i \(0.703122\pi\)
\(734\) 8.23369 4.75372i 0.303911 0.175463i
\(735\) −4.55842 + 30.2646i −0.168140 + 1.11633i
\(736\) 0.939764i 0.0346402i
\(737\) −9.76631 + 5.63858i −0.359747 + 0.207700i
\(738\) −10.1753 + 15.3398i −0.374557 + 0.564665i
\(739\) −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
\(741\) −17.6861 11.4333i −0.649717 0.420011i
\(742\) −24.8614 + 28.7075i −0.912691 + 1.05388i
\(743\) −7.37228 + 12.7692i −0.270463 + 0.468455i −0.968980 0.247138i \(-0.920510\pi\)
0.698518 + 0.715593i \(0.253843\pi\)
\(744\) 8.00000 1.87953i 0.293294 0.0689068i
\(745\) −13.1168 + 7.57301i −0.480564 + 0.277454i
\(746\) 8.00000 0.292901
\(747\) −6.74456 13.5615i −0.246771 0.496188i
\(748\) −0.941578 1.63086i −0.0344275 0.0596302i
\(749\) 7.37228 8.51278i 0.269377 0.311050i
\(750\) 15.1861 + 4.57879i 0.554519 + 0.167194i
\(751\) 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
\(756\) 7.12772 11.7557i 0.259233 0.427549i
\(757\) −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
\(763\) −51.7011 9.94987i −1.87170 0.360210i
\(764\) −16.3723 9.45254i −0.592328 0.341981i
\(765\) −5.74456 + 8.66025i −0.207695 + 0.313112i
\(766\) 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 −0.758896 0.651212i \(-0.774261\pi\)
0.943414 + 0.331617i \(0.107594\pi\)
\(770\) 3.00000 + 8.66025i 0.108112 + 0.312094i