Properties

Label 546.2.u.a.185.8
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.8
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.266485 + 1.71143i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.279399 + 0.483934i) q^{5} +(1.08650 - 1.34890i) q^{6} +(0.253211 - 2.63361i) q^{7} -1.00000i q^{8} +(-2.85797 - 0.912140i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.266485 + 1.71143i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.279399 + 0.483934i) q^{5} +(1.08650 - 1.34890i) q^{6} +(0.253211 - 2.63361i) q^{7} -1.00000i q^{8} +(-2.85797 - 0.912140i) q^{9} -0.558798i q^{10} -6.43977i q^{11} +(-1.61538 + 0.624931i) q^{12} +(-1.74302 + 3.15624i) q^{13} +(-1.53609 + 2.15416i) q^{14} +(-0.902673 + 0.349210i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.19575 - 5.53520i) q^{17} +(2.01901 + 2.21892i) q^{18} +1.04432i q^{19} +(-0.279399 + 0.483934i) q^{20} +(4.43975 + 1.13517i) q^{21} +(-3.21989 + 5.57701i) q^{22} +(0.412061 + 0.237904i) q^{23} +(1.71143 + 0.266485i) q^{24} +(2.34387 - 4.05971i) q^{25} +(3.08762 - 1.86188i) q^{26} +(2.32267 - 4.64814i) q^{27} +(2.40738 - 1.09752i) q^{28} +(-3.00015 + 1.73214i) q^{29} +(0.956343 + 0.148911i) q^{30} +(0.995309 + 0.574642i) q^{31} +(0.866025 - 0.500000i) q^{32} +(11.0212 + 1.71610i) q^{33} +6.39150i q^{34} +(1.34524 - 0.613290i) q^{35} +(-0.639049 - 2.93115i) q^{36} +(5.01086 - 8.67906i) q^{37} +(0.522160 - 0.904408i) q^{38} +(-4.93719 - 3.82415i) q^{39} +(0.483934 - 0.279399i) q^{40} +(3.45773 + 5.98897i) q^{41} +(-3.27735 - 3.20296i) q^{42} +(1.50624 - 2.60888i) q^{43} +(5.57701 - 3.21989i) q^{44} +(-0.357100 - 1.63792i) q^{45} +(-0.237904 - 0.412061i) q^{46} +(-0.145367 - 0.251784i) q^{47} +(-1.34890 - 1.08650i) q^{48} +(-6.87177 - 1.33372i) q^{49} +(-4.05971 + 2.34387i) q^{50} +(10.3247 - 3.99425i) q^{51} +(-3.60490 + 0.0686197i) q^{52} +(-8.18418 - 4.72514i) q^{53} +(-4.33556 + 2.86407i) q^{54} +(3.11642 - 1.79927i) q^{55} +(-2.63361 - 0.253211i) q^{56} +(-1.78728 - 0.278296i) q^{57} +3.46428 q^{58} +(4.85874 + 8.41558i) q^{59} +(-0.753762 - 0.607133i) q^{60} -6.08860i q^{61} +(-0.574642 - 0.995309i) q^{62} +(-3.12589 + 7.29581i) q^{63} -1.00000 q^{64} +(-2.01441 + 0.0383446i) q^{65} +(-8.68659 - 6.99679i) q^{66} +11.3956 q^{67} +(3.19575 - 5.53520i) q^{68} +(-0.516963 + 0.641815i) q^{69} +(-1.47166 - 0.141494i) q^{70} +(-7.85983 - 4.53787i) q^{71} +(-0.912140 + 2.85797i) q^{72} +(-9.17149 - 5.29516i) q^{73} +(-8.67906 + 5.01086i) q^{74} +(6.32329 + 5.09322i) q^{75} +(-0.904408 + 0.522160i) q^{76} +(-16.9598 - 1.63062i) q^{77} +(2.36366 + 5.78041i) q^{78} +(5.66566 + 9.81321i) q^{79} -0.558798 q^{80} +(7.33600 + 5.21374i) q^{81} -6.91546i q^{82} -2.89483 q^{83} +(1.23679 + 4.41252i) q^{84} +(1.78578 - 3.09306i) q^{85} +(-2.60888 + 1.50624i) q^{86} +(-2.16494 - 5.59614i) q^{87} -6.43977 q^{88} +(1.61861 - 2.80351i) q^{89} +(-0.509702 + 1.59703i) q^{90} +(7.87095 + 5.38963i) q^{91} +0.475807i q^{92} +(-1.24869 + 1.55027i) q^{93} +0.290735i q^{94} +(-0.505382 + 0.291782i) q^{95} +(0.624931 + 1.61538i) q^{96} +(-3.63348 - 2.09779i) q^{97} +(5.28427 + 4.59092i) q^{98} +(-5.87397 + 18.4047i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −0.266485 + 1.71143i −0.153855 + 0.988093i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 0.279399 + 0.483934i 0.124951 + 0.216422i 0.921714 0.387871i \(-0.126789\pi\)
−0.796763 + 0.604292i \(0.793456\pi\)
\(6\) 1.08650 1.34890i 0.443560 0.550685i
\(7\) 0.253211 2.63361i 0.0957048 0.995410i
\(8\) 1.00000i 0.353553i
\(9\) −2.85797 0.912140i −0.952657 0.304047i
\(10\) 0.558798i 0.176708i
\(11\) 6.43977i 1.94166i −0.239760 0.970832i \(-0.577069\pi\)
0.239760 0.970832i \(-0.422931\pi\)
\(12\) −1.61538 + 0.624931i −0.466321 + 0.180402i
\(13\) −1.74302 + 3.15624i −0.483428 + 0.875384i
\(14\) −1.53609 + 2.15416i −0.410537 + 0.575725i
\(15\) −0.902673 + 0.349210i −0.233069 + 0.0901658i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.19575 5.53520i −0.775083 1.34248i −0.934748 0.355312i \(-0.884374\pi\)
0.159664 0.987171i \(-0.448959\pi\)
\(18\) 2.01901 + 2.21892i 0.475884 + 0.523005i
\(19\) 1.04432i 0.239583i 0.992799 + 0.119792i \(0.0382227\pi\)
−0.992799 + 0.119792i \(0.961777\pi\)
\(20\) −0.279399 + 0.483934i −0.0624756 + 0.108211i
\(21\) 4.43975 + 1.13517i 0.968833 + 0.247714i
\(22\) −3.21989 + 5.57701i −0.686482 + 1.18902i
\(23\) 0.412061 + 0.237904i 0.0859207 + 0.0496063i 0.542345 0.840156i \(-0.317537\pi\)
−0.456424 + 0.889762i \(0.650870\pi\)
\(24\) 1.71143 + 0.266485i 0.349344 + 0.0543960i
\(25\) 2.34387 4.05971i 0.468774 0.811941i
\(26\) 3.08762 1.86188i 0.605533 0.365144i
\(27\) 2.32267 4.64814i 0.446998 0.894535i
\(28\) 2.40738 1.09752i 0.454951 0.207411i
\(29\) −3.00015 + 1.73214i −0.557114 + 0.321650i −0.751987 0.659178i \(-0.770904\pi\)
0.194872 + 0.980829i \(0.437571\pi\)
\(30\) 0.956343 + 0.148911i 0.174604 + 0.0271874i
\(31\) 0.995309 + 0.574642i 0.178763 + 0.103209i 0.586711 0.809796i \(-0.300422\pi\)
−0.407949 + 0.913005i \(0.633756\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 11.0212 + 1.71610i 1.91855 + 0.298735i
\(34\) 6.39150i 1.09613i
\(35\) 1.34524 0.613290i 0.227387 0.103665i
\(36\) −0.639049 2.93115i −0.106508 0.488524i
\(37\) 5.01086 8.67906i 0.823780 1.42683i −0.0790679 0.996869i \(-0.525194\pi\)
0.902848 0.429960i \(-0.141472\pi\)
\(38\) 0.522160 0.904408i 0.0847055 0.146714i
\(39\) −4.93719 3.82415i −0.790584 0.612354i
\(40\) 0.483934 0.279399i 0.0765166 0.0441769i
\(41\) 3.45773 + 5.98897i 0.540007 + 0.935319i 0.998903 + 0.0468294i \(0.0149117\pi\)
−0.458896 + 0.888490i \(0.651755\pi\)
\(42\) −3.27735 3.20296i −0.505706 0.494228i
\(43\) 1.50624 2.60888i 0.229699 0.397851i −0.728020 0.685556i \(-0.759559\pi\)
0.957719 + 0.287706i \(0.0928925\pi\)
\(44\) 5.57701 3.21989i 0.840765 0.485416i
\(45\) −0.357100 1.63792i −0.0532333 0.244167i
\(46\) −0.237904 0.412061i −0.0350770 0.0607551i
\(47\) −0.145367 0.251784i −0.0212040 0.0367264i 0.855229 0.518251i \(-0.173417\pi\)
−0.876433 + 0.481524i \(0.840083\pi\)
\(48\) −1.34890 1.08650i −0.194697 0.156822i
\(49\) −6.87177 1.33372i −0.981681 0.190531i
\(50\) −4.05971 + 2.34387i −0.574129 + 0.331474i
\(51\) 10.3247 3.99425i 1.44575 0.559307i
\(52\) −3.60490 + 0.0686197i −0.499909 + 0.00951584i
\(53\) −8.18418 4.72514i −1.12418 0.649048i −0.181718 0.983351i \(-0.558166\pi\)
−0.942466 + 0.334303i \(0.891499\pi\)
\(54\) −4.33556 + 2.86407i −0.589995 + 0.389751i
\(55\) 3.11642 1.79927i 0.420218 0.242613i
\(56\) −2.63361 0.253211i −0.351930 0.0338368i
\(57\) −1.78728 0.278296i −0.236731 0.0368612i
\(58\) 3.46428 0.454882
\(59\) 4.85874 + 8.41558i 0.632554 + 1.09562i 0.987028 + 0.160549i \(0.0513266\pi\)
−0.354474 + 0.935066i \(0.615340\pi\)
\(60\) −0.753762 0.607133i −0.0973102 0.0783805i
\(61\) 6.08860i 0.779565i −0.920907 0.389783i \(-0.872550\pi\)
0.920907 0.389783i \(-0.127450\pi\)
\(62\) −0.574642 0.995309i −0.0729796 0.126404i
\(63\) −3.12589 + 7.29581i −0.393825 + 0.919185i
\(64\) −1.00000 −0.125000
\(65\) −2.01441 + 0.0383446i −0.249857 + 0.00475606i
\(66\) −8.68659 6.99679i −1.06925 0.861246i
\(67\) 11.3956 1.39219 0.696097 0.717948i \(-0.254918\pi\)
0.696097 + 0.717948i \(0.254918\pi\)
\(68\) 3.19575 5.53520i 0.387542 0.671242i
\(69\) −0.516963 + 0.641815i −0.0622350 + 0.0772655i
\(70\) −1.47166 0.141494i −0.175896 0.0169118i
\(71\) −7.85983 4.53787i −0.932790 0.538546i −0.0450969 0.998983i \(-0.514360\pi\)
−0.887693 + 0.460436i \(0.847693\pi\)
\(72\) −0.912140 + 2.85797i −0.107497 + 0.336815i
\(73\) −9.17149 5.29516i −1.07344 0.619752i −0.144322 0.989531i \(-0.546100\pi\)
−0.929120 + 0.369779i \(0.879433\pi\)
\(74\) −8.67906 + 5.01086i −1.00892 + 0.582501i
\(75\) 6.32329 + 5.09322i 0.730150 + 0.588114i
\(76\) −0.904408 + 0.522160i −0.103743 + 0.0598959i
\(77\) −16.9598 1.63062i −1.93275 0.185827i
\(78\) 2.36366 + 5.78041i 0.267632 + 0.654502i
\(79\) 5.66566 + 9.81321i 0.637437 + 1.10407i 0.985993 + 0.166785i \(0.0533385\pi\)
−0.348557 + 0.937288i \(0.613328\pi\)
\(80\) −0.558798 −0.0624756
\(81\) 7.33600 + 5.21374i 0.815111 + 0.579304i
\(82\) 6.91546i 0.763685i
\(83\) −2.89483 −0.317749 −0.158875 0.987299i \(-0.550787\pi\)
−0.158875 + 0.987299i \(0.550787\pi\)
\(84\) 1.23679 + 4.41252i 0.134945 + 0.481446i
\(85\) 1.78578 3.09306i 0.193695 0.335490i
\(86\) −2.60888 + 1.50624i −0.281323 + 0.162422i
\(87\) −2.16494 5.59614i −0.232105 0.599969i
\(88\) −6.43977 −0.686482
\(89\) 1.61861 2.80351i 0.171572 0.297171i −0.767398 0.641171i \(-0.778449\pi\)
0.938970 + 0.344000i \(0.111782\pi\)
\(90\) −0.509702 + 1.59703i −0.0537273 + 0.168342i
\(91\) 7.87095 + 5.38963i 0.825100 + 0.564987i
\(92\) 0.475807i 0.0496063i
\(93\) −1.24869 + 1.55027i −0.129483 + 0.160755i
\(94\) 0.290735i 0.0299870i
\(95\) −0.505382 + 0.291782i −0.0518511 + 0.0299362i
\(96\) 0.624931 + 1.61538i 0.0637818 + 0.164869i
\(97\) −3.63348 2.09779i −0.368924 0.212998i 0.304064 0.952651i \(-0.401656\pi\)
−0.672988 + 0.739653i \(0.734990\pi\)
\(98\) 5.28427 + 4.59092i 0.533792 + 0.463753i
\(99\) −5.87397 + 18.4047i −0.590357 + 1.84974i
\(100\) 4.68774 0.468774
\(101\) 10.2322 1.01814 0.509069 0.860726i \(-0.329990\pi\)
0.509069 + 0.860726i \(0.329990\pi\)
\(102\) −10.9386 1.70324i −1.08308 0.168646i
\(103\) −10.5459 + 6.08867i −1.03912 + 0.599935i −0.919583 0.392895i \(-0.871474\pi\)
−0.119534 + 0.992830i \(0.538140\pi\)
\(104\) 3.15624 + 1.74302i 0.309495 + 0.170917i
\(105\) 0.691116 + 2.46571i 0.0674460 + 0.240629i
\(106\) 4.72514 + 8.18418i 0.458946 + 0.794918i
\(107\) 6.17914 + 3.56753i 0.597360 + 0.344886i 0.768002 0.640447i \(-0.221251\pi\)
−0.170643 + 0.985333i \(0.554584\pi\)
\(108\) 5.18674 0.312580i 0.499094 0.0300780i
\(109\) 2.30907 3.99943i 0.221169 0.383076i −0.733994 0.679156i \(-0.762346\pi\)
0.955163 + 0.296080i \(0.0956794\pi\)
\(110\) −3.59853 −0.343107
\(111\) 13.5183 + 10.8886i 1.28310 + 1.03350i
\(112\) 2.15416 + 1.53609i 0.203549 + 0.145147i
\(113\) −5.54013 3.19860i −0.521172 0.300899i 0.216242 0.976340i \(-0.430620\pi\)
−0.737414 + 0.675441i \(0.763953\pi\)
\(114\) 1.40868 + 1.13465i 0.131935 + 0.106270i
\(115\) 0.265880i 0.0247935i
\(116\) −3.00015 1.73214i −0.278557 0.160825i
\(117\) 7.86045 7.43057i 0.726698 0.686957i
\(118\) 9.71748i 0.894566i
\(119\) −15.3867 + 7.01478i −1.41050 + 0.643043i
\(120\) 0.349210 + 0.902673i 0.0318784 + 0.0824024i
\(121\) −30.4707 −2.77006
\(122\) −3.04430 + 5.27288i −0.275618 + 0.477384i
\(123\) −11.1711 + 4.32169i −1.00727 + 0.389673i
\(124\) 1.14928i 0.103209i
\(125\) 5.41350 0.484198
\(126\) 6.35500 4.75541i 0.566149 0.423646i
\(127\) 3.35100 + 5.80411i 0.297354 + 0.515031i 0.975530 0.219868i \(-0.0705627\pi\)
−0.678176 + 0.734899i \(0.737229\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 4.06352 + 3.27305i 0.357773 + 0.288176i
\(130\) 1.76370 + 0.973998i 0.154687 + 0.0854253i
\(131\) −7.69518 13.3284i −0.672331 1.16451i −0.977241 0.212130i \(-0.931960\pi\)
0.304910 0.952381i \(-0.401373\pi\)
\(132\) 4.02441 + 10.4027i 0.350280 + 0.905439i
\(133\) 2.75033 + 0.264433i 0.238484 + 0.0229293i
\(134\) −9.86888 5.69780i −0.852541 0.492215i
\(135\) 2.89834 0.174669i 0.249450 0.0150331i
\(136\) −5.53520 + 3.19575i −0.474640 + 0.274033i
\(137\) 4.68256 2.70348i 0.400058 0.230974i −0.286451 0.958095i \(-0.592475\pi\)
0.686509 + 0.727121i \(0.259142\pi\)
\(138\) 0.768611 0.297347i 0.0654285 0.0253118i
\(139\) 13.8462 + 7.99412i 1.17442 + 0.678053i 0.954717 0.297514i \(-0.0961574\pi\)
0.219704 + 0.975567i \(0.429491\pi\)
\(140\) 1.20374 + 0.858365i 0.101735 + 0.0725451i
\(141\) 0.469648 0.181689i 0.0395515 0.0153010i
\(142\) 4.53787 + 7.85983i 0.380810 + 0.659582i
\(143\) 20.3255 + 11.2247i 1.69970 + 0.938654i
\(144\) 2.21892 2.01901i 0.184910 0.168250i
\(145\) −1.67648 0.967917i −0.139224 0.0803811i
\(146\) 5.29516 + 9.17149i 0.438231 + 0.759038i
\(147\) 4.11378 11.4051i 0.339299 0.940679i
\(148\) 10.0217 0.823780
\(149\) 11.0299i 0.903608i 0.892117 + 0.451804i \(0.149219\pi\)
−0.892117 + 0.451804i \(0.850781\pi\)
\(150\) −2.92952 7.57250i −0.239194 0.618292i
\(151\) 0.722893 1.25209i 0.0588282 0.101893i −0.835111 0.550081i \(-0.814597\pi\)
0.893940 + 0.448187i \(0.147930\pi\)
\(152\) 1.04432 0.0847055
\(153\) 4.08448 + 18.7344i 0.330211 + 1.51459i
\(154\) 13.8723 + 9.89207i 1.11786 + 0.797126i
\(155\) 0.642218i 0.0515842i
\(156\) 0.843214 6.18781i 0.0675111 0.495421i
\(157\) 4.98415 + 2.87760i 0.397778 + 0.229657i 0.685525 0.728049i \(-0.259573\pi\)
−0.287747 + 0.957707i \(0.592906\pi\)
\(158\) 11.3313i 0.901471i
\(159\) 10.2677 12.7475i 0.814281 1.01094i
\(160\) 0.483934 + 0.279399i 0.0382583 + 0.0220884i
\(161\) 0.730883 1.02497i 0.0576016 0.0807787i
\(162\) −3.74629 8.18323i −0.294337 0.642935i
\(163\) −1.85495 −0.145291 −0.0726453 0.997358i \(-0.523144\pi\)
−0.0726453 + 0.997358i \(0.523144\pi\)
\(164\) −3.45773 + 5.98897i −0.270003 + 0.467660i
\(165\) 2.24884 + 5.81301i 0.175072 + 0.452542i
\(166\) 2.50700 + 1.44742i 0.194581 + 0.112341i
\(167\) 7.81988 + 13.5444i 0.605121 + 1.04810i 0.992032 + 0.125983i \(0.0402084\pi\)
−0.386912 + 0.922117i \(0.626458\pi\)
\(168\) 1.13517 4.43975i 0.0875802 0.342534i
\(169\) −6.92374 11.0028i −0.532596 0.846370i
\(170\) −3.09306 + 1.78578i −0.237227 + 0.136963i
\(171\) 0.952566 2.98464i 0.0728446 0.228241i
\(172\) 3.01248 0.229699
\(173\) −11.0579 −0.840717 −0.420359 0.907358i \(-0.638096\pi\)
−0.420359 + 0.907358i \(0.638096\pi\)
\(174\) −0.923179 + 5.92886i −0.0699860 + 0.449466i
\(175\) −10.0982 7.20080i −0.763350 0.544329i
\(176\) 5.57701 + 3.21989i 0.420383 + 0.242708i
\(177\) −15.6974 + 6.07275i −1.17989 + 0.456456i
\(178\) −2.80351 + 1.61861i −0.210132 + 0.121320i
\(179\) 0.0284194i 0.00212416i 0.999999 + 0.00106208i \(0.000338071\pi\)
−0.999999 + 0.00106208i \(0.999662\pi\)
\(180\) 1.23993 1.12822i 0.0924189 0.0840923i
\(181\) 2.04392i 0.151924i 0.997111 + 0.0759618i \(0.0242027\pi\)
−0.997111 + 0.0759618i \(0.975797\pi\)
\(182\) −4.12163 8.60303i −0.305515 0.637699i
\(183\) 10.4202 + 1.62252i 0.770283 + 0.119940i
\(184\) 0.237904 0.412061i 0.0175385 0.0303775i
\(185\) 5.60012 0.411729
\(186\) 1.85653 0.718223i 0.136128 0.0526627i
\(187\) −35.6454 + 20.5799i −2.60665 + 1.50495i
\(188\) 0.145367 0.251784i 0.0106020 0.0183632i
\(189\) −11.6532 7.29396i −0.847649 0.530557i
\(190\) 0.583564 0.0423362
\(191\) 8.31147i 0.601397i −0.953719 0.300699i \(-0.902780\pi\)
0.953719 0.300699i \(-0.0972198\pi\)
\(192\) 0.266485 1.71143i 0.0192319 0.123512i
\(193\) −17.9361 −1.29107 −0.645535 0.763731i \(-0.723366\pi\)
−0.645535 + 0.763731i \(0.723366\pi\)
\(194\) 2.09779 + 3.63348i 0.150612 + 0.260868i
\(195\) 0.471187 3.45774i 0.0337424 0.247614i
\(196\) −2.28085 6.61798i −0.162918 0.472713i
\(197\) −19.6371 + 11.3375i −1.39908 + 0.807762i −0.994297 0.106649i \(-0.965988\pi\)
−0.404788 + 0.914411i \(0.632655\pi\)
\(198\) 14.2894 13.0019i 1.01550 0.924008i
\(199\) 0.445421 0.257164i 0.0315751 0.0182299i −0.484129 0.874996i \(-0.660864\pi\)
0.515704 + 0.856767i \(0.327530\pi\)
\(200\) −4.05971 2.34387i −0.287065 0.165737i
\(201\) −3.03676 + 19.5028i −0.214196 + 1.37562i
\(202\) −8.86132 5.11608i −0.623480 0.359966i
\(203\) 3.80210 + 8.33982i 0.266855 + 0.585341i
\(204\) 8.62148 + 6.94435i 0.603624 + 0.486201i
\(205\) −1.93217 + 3.34662i −0.134949 + 0.233738i
\(206\) 12.1773 0.848436
\(207\) −0.960658 1.05578i −0.0667703 0.0733817i
\(208\) −1.86188 3.08762i −0.129098 0.214088i
\(209\) 6.72518 0.465191
\(210\) 0.634331 2.48093i 0.0437730 0.171200i
\(211\) −4.07178 7.05253i −0.280313 0.485516i 0.691149 0.722712i \(-0.257105\pi\)
−0.971462 + 0.237196i \(0.923772\pi\)
\(212\) 9.45028i 0.649048i
\(213\) 9.86077 12.2422i 0.675649 0.838825i
\(214\) −3.56753 6.17914i −0.243871 0.422397i
\(215\) 1.68337 0.114805
\(216\) −4.64814 2.32267i −0.316266 0.158038i
\(217\) 1.76540 2.47575i 0.119843 0.168065i
\(218\) −3.99943 + 2.30907i −0.270876 + 0.156390i
\(219\) 11.5064 14.2853i 0.777528 0.965309i
\(220\) 3.11642 + 1.79927i 0.210109 + 0.121307i
\(221\) 23.0407 0.438583i 1.54989 0.0295023i
\(222\) −6.26288 16.1889i −0.420337 1.08653i
\(223\) 14.6126 8.43659i 0.978532 0.564956i 0.0767054 0.997054i \(-0.475560\pi\)
0.901827 + 0.432098i \(0.142227\pi\)
\(224\) −1.09752 2.40738i −0.0733309 0.160850i
\(225\) −10.4017 + 9.46458i −0.693449 + 0.630972i
\(226\) 3.19860 + 5.54013i 0.212767 + 0.368524i
\(227\) −14.9919 25.9667i −0.995046 1.72347i −0.583620 0.812027i \(-0.698364\pi\)
−0.411426 0.911443i \(-0.634969\pi\)
\(228\) −0.652628 1.68698i −0.0432214 0.111723i
\(229\) 18.9964 10.9676i 1.25532 0.724758i 0.283157 0.959074i \(-0.408618\pi\)
0.972161 + 0.234315i \(0.0752849\pi\)
\(230\) 0.132940 0.230259i 0.00876581 0.0151828i
\(231\) 7.31023 28.5910i 0.480978 1.88115i
\(232\) 1.73214 + 3.00015i 0.113721 + 0.196970i
\(233\) −10.9565 + 6.32576i −0.717786 + 0.414414i −0.813937 0.580953i \(-0.802680\pi\)
0.0961511 + 0.995367i \(0.469347\pi\)
\(234\) −10.5226 + 2.50484i −0.687886 + 0.163747i
\(235\) 0.0812311 0.140696i 0.00529893 0.00917802i
\(236\) −4.85874 + 8.41558i −0.316277 + 0.547808i
\(237\) −18.3044 + 7.08129i −1.18900 + 0.459979i
\(238\) 16.8327 + 1.61840i 1.09110 + 0.104905i
\(239\) 16.0816i 1.04023i 0.854095 + 0.520117i \(0.174112\pi\)
−0.854095 + 0.520117i \(0.825888\pi\)
\(240\) 0.148911 0.956343i 0.00961219 0.0617317i
\(241\) 2.95573 1.70649i 0.190395 0.109925i −0.401772 0.915740i \(-0.631606\pi\)
0.592167 + 0.805815i \(0.298272\pi\)
\(242\) 26.3884 + 15.2353i 1.69631 + 0.979365i
\(243\) −10.8779 + 11.1657i −0.697816 + 0.716277i
\(244\) 5.27288 3.04430i 0.337562 0.194891i
\(245\) −1.27454 3.69812i −0.0814271 0.236264i
\(246\) 11.8353 + 1.84287i 0.754592 + 0.117497i
\(247\) −3.29613 1.82027i −0.209728 0.115821i
\(248\) 0.574642 0.995309i 0.0364898 0.0632022i
\(249\) 0.771430 4.95430i 0.0488874 0.313966i
\(250\) −4.68822 2.70675i −0.296509 0.171190i
\(251\) 6.77003 11.7260i 0.427321 0.740141i −0.569313 0.822121i \(-0.692791\pi\)
0.996634 + 0.0819797i \(0.0261243\pi\)
\(252\) −7.88130 + 0.940806i −0.496475 + 0.0592652i
\(253\) 1.53205 2.65358i 0.0963189 0.166829i
\(254\) 6.70201i 0.420521i
\(255\) 4.81767 + 3.88049i 0.301694 + 0.243006i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 10.8702 18.8277i 0.678064 1.17444i −0.297499 0.954722i \(-0.596153\pi\)
0.975563 0.219719i \(-0.0705142\pi\)
\(258\) −1.88259 4.86630i −0.117205 0.302963i
\(259\) −21.5884 15.3943i −1.34144 0.956553i
\(260\) −1.04041 1.72536i −0.0645237 0.107002i
\(261\) 10.1543 2.21384i 0.628536 0.137034i
\(262\) 15.3904i 0.950820i
\(263\) 16.8349i 1.03808i −0.854749 0.519042i \(-0.826289\pi\)
0.854749 0.519042i \(-0.173711\pi\)
\(264\) 1.71610 11.0212i 0.105619 0.678308i
\(265\) 5.28080i 0.324397i
\(266\) −2.24964 1.60417i −0.137934 0.0983580i
\(267\) 4.36667 + 3.51722i 0.267236 + 0.215250i
\(268\) 5.69780 + 9.86888i 0.348049 + 0.602838i
\(269\) 8.00614 + 13.8670i 0.488143 + 0.845488i 0.999907 0.0136377i \(-0.00434113\pi\)
−0.511764 + 0.859126i \(0.671008\pi\)
\(270\) −2.59737 1.29790i −0.158071 0.0789879i
\(271\) 10.8364 + 6.25638i 0.658263 + 0.380048i 0.791615 0.611021i \(-0.209241\pi\)
−0.133352 + 0.991069i \(0.542574\pi\)
\(272\) 6.39150 0.387542
\(273\) −11.3215 + 12.0343i −0.685206 + 0.728349i
\(274\) −5.40696 −0.326646
\(275\) −26.1436 15.0940i −1.57652 0.910203i
\(276\) −0.814310 0.126796i −0.0490157 0.00763219i
\(277\) −0.307936 0.533360i −0.0185021 0.0320465i 0.856626 0.515938i \(-0.172556\pi\)
−0.875128 + 0.483891i \(0.839223\pi\)
\(278\) −7.99412 13.8462i −0.479456 0.830442i
\(279\) −2.32041 2.55017i −0.138919 0.152675i
\(280\) −0.613290 1.34524i −0.0366511 0.0803933i
\(281\) 24.8711i 1.48368i 0.670575 + 0.741842i \(0.266047\pi\)
−0.670575 + 0.741842i \(0.733953\pi\)
\(282\) −0.497572 0.0774765i −0.0296300 0.00461366i
\(283\) 26.8615i 1.59675i −0.602161 0.798375i \(-0.705693\pi\)
0.602161 0.798375i \(-0.294307\pi\)
\(284\) 9.07574i 0.538546i
\(285\) −0.364688 0.942680i −0.0216022 0.0558395i
\(286\) −11.9901 19.8836i −0.708987 1.17574i
\(287\) 16.6481 7.58983i 0.982707 0.448014i
\(288\) −2.93115 + 0.639049i −0.172719 + 0.0376563i
\(289\) −11.9256 + 20.6558i −0.701508 + 1.21505i
\(290\) 0.967917 + 1.67648i 0.0568380 + 0.0984463i
\(291\) 4.55848 5.65940i 0.267223 0.331760i
\(292\) 10.5903i 0.619752i
\(293\) 5.43236 9.40912i 0.317362 0.549687i −0.662575 0.748996i \(-0.730536\pi\)
0.979937 + 0.199309i \(0.0638697\pi\)
\(294\) −9.26520 + 7.82023i −0.540358 + 0.456085i
\(295\) −2.71505 + 4.70261i −0.158077 + 0.273797i
\(296\) −8.67906 5.01086i −0.504460 0.291250i
\(297\) −29.9330 14.9575i −1.73689 0.867920i
\(298\) 5.51497 9.55221i 0.319474 0.553345i
\(299\) −1.46911 + 0.885894i −0.0849610 + 0.0512326i
\(300\) −1.24921 + 8.02274i −0.0721234 + 0.463193i
\(301\) −6.48937 4.62744i −0.374041 0.266721i
\(302\) −1.25209 + 0.722893i −0.0720496 + 0.0415978i
\(303\) −2.72672 + 17.5116i −0.156646 + 1.00602i
\(304\) −0.904408 0.522160i −0.0518713 0.0299479i
\(305\) 2.94648 1.70115i 0.168715 0.0974076i
\(306\) 5.82994 18.2667i 0.333276 1.04424i
\(307\) 9.52511i 0.543627i 0.962350 + 0.271813i \(0.0876234\pi\)
−0.962350 + 0.271813i \(0.912377\pi\)
\(308\) −7.06775 15.5030i −0.402723 0.883363i
\(309\) −7.61000 19.6711i −0.432918 1.11905i
\(310\) 0.321109 0.556177i 0.0182378 0.0315887i
\(311\) −12.0559 + 20.8814i −0.683627 + 1.18408i 0.290240 + 0.956954i \(0.406265\pi\)
−0.973866 + 0.227122i \(0.927068\pi\)
\(312\) −3.82415 + 4.93719i −0.216500 + 0.279514i
\(313\) 1.32306 0.763869i 0.0747838 0.0431764i −0.462142 0.886806i \(-0.652919\pi\)
0.536926 + 0.843630i \(0.319586\pi\)
\(314\) −2.87760 4.98415i −0.162392 0.281272i
\(315\) −4.40406 + 0.525721i −0.248141 + 0.0296210i
\(316\) −5.66566 + 9.81321i −0.318718 + 0.552036i
\(317\) 25.7779 14.8829i 1.44783 0.835907i 0.449482 0.893290i \(-0.351609\pi\)
0.998352 + 0.0573823i \(0.0182754\pi\)
\(318\) −15.2658 + 5.90577i −0.856065 + 0.331179i
\(319\) 11.1546 + 19.3203i 0.624537 + 1.08173i
\(320\) −0.279399 0.483934i −0.0156189 0.0270527i
\(321\) −7.75221 + 9.62445i −0.432686 + 0.537185i
\(322\) −1.14545 + 0.522206i −0.0638333 + 0.0291014i
\(323\) 5.78052 3.33739i 0.321637 0.185697i
\(324\) −0.847231 + 8.96003i −0.0470684 + 0.497780i
\(325\) 8.72800 + 14.4740i 0.484142 + 0.802873i
\(326\) 1.60643 + 0.927473i 0.0889720 + 0.0513680i
\(327\) 6.22941 + 5.01760i 0.344487 + 0.277474i
\(328\) 5.98897 3.45773i 0.330685 0.190921i
\(329\) −0.699908 + 0.319086i −0.0385872 + 0.0175918i
\(330\) 0.958956 6.15863i 0.0527888 0.339022i
\(331\) 25.8006 1.41813 0.709065 0.705143i \(-0.249117\pi\)
0.709065 + 0.705143i \(0.249117\pi\)
\(332\) −1.44742 2.50700i −0.0794373 0.137589i
\(333\) −22.2374 + 20.2339i −1.21860 + 1.10881i
\(334\) 15.6398i 0.855770i
\(335\) 3.18392 + 5.51471i 0.173956 + 0.301301i
\(336\) −3.20296 + 3.27735i −0.174736 + 0.178794i
\(337\) −22.2563 −1.21238 −0.606189 0.795320i \(-0.707303\pi\)
−0.606189 + 0.795320i \(0.707303\pi\)
\(338\) 0.494734 + 12.9906i 0.0269100 + 0.706595i
\(339\) 6.95053 8.62916i 0.377501 0.468672i
\(340\) 3.57156 0.193695
\(341\) 3.70056 6.40956i 0.200397 0.347097i
\(342\) −2.31727 + 2.10849i −0.125303 + 0.114014i
\(343\) −5.25249 + 17.7598i −0.283608 + 0.958940i
\(344\) −2.60888 1.50624i −0.140661 0.0812109i
\(345\) −0.455035 0.0708531i −0.0244983 0.00381460i
\(346\) 9.57643 + 5.52895i 0.514832 + 0.297238i
\(347\) 17.7328 10.2380i 0.951947 0.549607i 0.0582617 0.998301i \(-0.481444\pi\)
0.893685 + 0.448695i \(0.148111\pi\)
\(348\) 3.76393 4.67296i 0.201768 0.250497i
\(349\) −4.41920 + 2.55143i −0.236555 + 0.136575i −0.613592 0.789623i \(-0.710276\pi\)
0.377038 + 0.926198i \(0.376943\pi\)
\(350\) 5.14487 + 11.2852i 0.275005 + 0.603217i
\(351\) 10.6222 + 15.4327i 0.566971 + 0.823738i
\(352\) −3.21989 5.57701i −0.171621 0.297255i
\(353\) 9.91190 0.527557 0.263779 0.964583i \(-0.415031\pi\)
0.263779 + 0.964583i \(0.415031\pi\)
\(354\) 16.6308 + 2.58956i 0.883915 + 0.137634i
\(355\) 5.07151i 0.269168i
\(356\) 3.23721 0.171572
\(357\) −7.90494 28.2026i −0.418374 1.49264i
\(358\) 0.0142097 0.0246119i 0.000751005 0.00130078i
\(359\) 7.41640 4.28186i 0.391423 0.225988i −0.291354 0.956615i \(-0.594106\pi\)
0.682776 + 0.730627i \(0.260772\pi\)
\(360\) −1.63792 + 0.357100i −0.0863259 + 0.0188208i
\(361\) 17.9094 0.942600
\(362\) 1.02196 1.77009i 0.0537131 0.0930338i
\(363\) 8.11998 52.1484i 0.426188 2.73708i
\(364\) −0.732083 + 9.51126i −0.0383716 + 0.498525i
\(365\) 5.91786i 0.309755i
\(366\) −8.21290 6.61524i −0.429295 0.345784i
\(367\) 7.20024i 0.375850i 0.982183 + 0.187925i \(0.0601761\pi\)
−0.982183 + 0.187925i \(0.939824\pi\)
\(368\) −0.412061 + 0.237904i −0.0214802 + 0.0124016i
\(369\) −4.41932 20.2702i −0.230061 1.05523i
\(370\) −4.84985 2.80006i −0.252131 0.145568i
\(371\) −14.5165 + 20.3575i −0.753658 + 1.05691i
\(372\) −1.96692 0.306267i −0.101980 0.0158792i
\(373\) −21.3561 −1.10578 −0.552889 0.833255i \(-0.686475\pi\)
−0.552889 + 0.833255i \(0.686475\pi\)
\(374\) 41.1598 2.12832
\(375\) −1.44262 + 9.26481i −0.0744964 + 0.478433i
\(376\) −0.251784 + 0.145367i −0.0129848 + 0.00749675i
\(377\) −0.237718 12.4884i −0.0122431 0.643184i
\(378\) 6.44503 + 12.1434i 0.331497 + 0.624588i
\(379\) 10.0507 + 17.4083i 0.516270 + 0.894206i 0.999822 + 0.0188903i \(0.00601332\pi\)
−0.483551 + 0.875316i \(0.660653\pi\)
\(380\) −0.505382 0.291782i −0.0259255 0.0149681i
\(381\) −10.8263 + 4.18829i −0.554649 + 0.214573i
\(382\) −4.15574 + 7.19795i −0.212626 + 0.368279i
\(383\) 32.5913 1.66534 0.832669 0.553772i \(-0.186812\pi\)
0.832669 + 0.553772i \(0.186812\pi\)
\(384\) −1.08650 + 1.34890i −0.0554451 + 0.0688356i
\(385\) −3.94945 8.66302i −0.201283 0.441509i
\(386\) 15.5331 + 8.96806i 0.790616 + 0.456462i
\(387\) −6.68445 + 6.08221i −0.339790 + 0.309176i
\(388\) 4.19558i 0.212998i
\(389\) 27.0880 + 15.6393i 1.37342 + 0.792942i 0.991356 0.131196i \(-0.0418816\pi\)
0.382059 + 0.924138i \(0.375215\pi\)
\(390\) −2.13693 + 2.75890i −0.108208 + 0.139702i
\(391\) 3.04112i 0.153796i
\(392\) −1.33372 + 6.87177i −0.0673629 + 0.347077i
\(393\) 24.8613 9.61791i 1.25409 0.485160i
\(394\) 22.6750 1.14235
\(395\) −3.16596 + 5.48361i −0.159297 + 0.275910i
\(396\) −18.8759 + 4.11533i −0.948550 + 0.206803i
\(397\) 4.58033i 0.229880i 0.993372 + 0.114940i \(0.0366676\pi\)
−0.993372 + 0.114940i \(0.963332\pi\)
\(398\) −0.514328 −0.0257809
\(399\) −1.18548 + 4.63652i −0.0593482 + 0.232116i
\(400\) 2.34387 + 4.05971i 0.117194 + 0.202985i
\(401\) 19.4982 + 11.2573i 0.973694 + 0.562162i 0.900360 0.435145i \(-0.143303\pi\)
0.0733333 + 0.997307i \(0.476636\pi\)
\(402\) 12.3813 15.3715i 0.617522 0.766661i
\(403\) −3.54855 + 2.13982i −0.176766 + 0.106592i
\(404\) 5.11608 + 8.86132i 0.254535 + 0.440867i
\(405\) −0.473431 + 5.00685i −0.0235250 + 0.248792i
\(406\) 0.877194 9.12355i 0.0435344 0.452794i
\(407\) −55.8912 32.2688i −2.77042 1.59950i
\(408\) −3.99425 10.3247i −0.197745 0.511150i
\(409\) 5.35808 3.09349i 0.264940 0.152963i −0.361646 0.932316i \(-0.617785\pi\)
0.626586 + 0.779352i \(0.284452\pi\)
\(410\) 3.34662 1.93217i 0.165278 0.0954233i
\(411\) 3.37898 + 8.73431i 0.166673 + 0.430832i
\(412\) −10.5459 6.08867i −0.519559 0.299967i
\(413\) 23.3936 10.6651i 1.15112 0.524795i
\(414\) 0.304064 + 1.39466i 0.0149439 + 0.0685438i
\(415\) −0.808814 1.40091i −0.0397031 0.0687678i
\(416\) 0.0686197 + 3.60490i 0.00336436 + 0.176745i
\(417\) −17.3712 + 21.5665i −0.850670 + 1.05612i
\(418\) −5.82418 3.36259i −0.284870 0.164470i
\(419\) 10.1893 + 17.6485i 0.497782 + 0.862184i 0.999997 0.00255900i \(-0.000814557\pi\)
−0.502215 + 0.864743i \(0.667481\pi\)
\(420\) −1.78981 + 1.83138i −0.0873338 + 0.0893622i
\(421\) 34.5026 1.68155 0.840777 0.541382i \(-0.182099\pi\)
0.840777 + 0.541382i \(0.182099\pi\)
\(422\) 8.14356i 0.396422i
\(423\) 0.185794 + 0.852186i 0.00903361 + 0.0414347i
\(424\) −4.72514 + 8.18418i −0.229473 + 0.397459i
\(425\) −29.9617 −1.45336
\(426\) −14.6608 + 5.67172i −0.710318 + 0.274795i
\(427\) −16.0350 1.54170i −0.775987 0.0746082i
\(428\) 7.13505i 0.344886i
\(429\) −24.6267 + 31.7944i −1.18899 + 1.53505i
\(430\) −1.45784 0.841683i −0.0703032 0.0405896i
\(431\) 1.42774i 0.0687719i 0.999409 + 0.0343859i \(0.0109475\pi\)
−0.999409 + 0.0343859i \(0.989052\pi\)
\(432\) 2.86407 + 4.33556i 0.137798 + 0.208595i
\(433\) 7.62829 + 4.40419i 0.366592 + 0.211652i 0.671969 0.740580i \(-0.265449\pi\)
−0.305376 + 0.952232i \(0.598782\pi\)
\(434\) −2.76676 + 1.26136i −0.132809 + 0.0605471i
\(435\) 2.10328 2.61124i 0.100844 0.125199i
\(436\) 4.61815 0.221169
\(437\) −0.248448 + 0.430324i −0.0118849 + 0.0205852i
\(438\) −17.1074 + 6.61823i −0.817425 + 0.316231i
\(439\) −6.28070 3.62617i −0.299762 0.173067i 0.342574 0.939491i \(-0.388701\pi\)
−0.642336 + 0.766423i \(0.722035\pi\)
\(440\) −1.79927 3.11642i −0.0857767 0.148570i
\(441\) 18.4228 + 10.0797i 0.877275 + 0.479988i
\(442\) −20.1731 11.1405i −0.959538 0.529901i
\(443\) −9.44613 + 5.45373i −0.448799 + 0.259114i −0.707323 0.706890i \(-0.750097\pi\)
0.258524 + 0.966005i \(0.416764\pi\)
\(444\) −2.67064 + 17.1514i −0.126743 + 0.813972i
\(445\) 1.80895 0.0857524
\(446\) −16.8732 −0.798968
\(447\) −18.8770 2.93931i −0.892849 0.139025i
\(448\) −0.253211 + 2.63361i −0.0119631 + 0.124426i
\(449\) 3.81282 + 2.20133i 0.179938 + 0.103887i 0.587264 0.809396i \(-0.300205\pi\)
−0.407326 + 0.913283i \(0.633539\pi\)
\(450\) 13.7405 2.99570i 0.647732 0.141219i
\(451\) 38.5676 22.2670i 1.81608 1.04851i
\(452\) 6.39719i 0.300899i
\(453\) 1.95022 + 1.57084i 0.0916293 + 0.0738046i
\(454\) 29.9838i 1.40721i
\(455\) −0.409087 + 5.31488i −0.0191783 + 0.249165i
\(456\) −0.278296 + 1.78728i −0.0130324 + 0.0836970i
\(457\) 0.0923367 0.159932i 0.00431933 0.00748130i −0.863858 0.503736i \(-0.831958\pi\)
0.868177 + 0.496255i \(0.165292\pi\)
\(458\) −21.9352 −1.02496
\(459\) −33.1511 + 1.99786i −1.54736 + 0.0932519i
\(460\) −0.230259 + 0.132940i −0.0107359 + 0.00619837i
\(461\) −1.67764 + 2.90576i −0.0781356 + 0.135335i −0.902446 0.430804i \(-0.858230\pi\)
0.824310 + 0.566139i \(0.191563\pi\)
\(462\) −20.6263 + 21.1054i −0.959624 + 0.981912i
\(463\) 27.7151 1.28803 0.644014 0.765014i \(-0.277268\pi\)
0.644014 + 0.765014i \(0.277268\pi\)
\(464\) 3.46428i 0.160825i
\(465\) −1.09911 0.171141i −0.0509700 0.00793649i
\(466\) 12.6515 0.586070
\(467\) 15.5226 + 26.8860i 0.718302 + 1.24414i 0.961672 + 0.274202i \(0.0884138\pi\)
−0.243370 + 0.969934i \(0.578253\pi\)
\(468\) 10.3653 + 3.09206i 0.479136 + 0.142930i
\(469\) 2.88549 30.0115i 0.133240 1.38580i
\(470\) −0.140696 + 0.0812311i −0.00648984 + 0.00374691i
\(471\) −6.25300 + 7.76317i −0.288123 + 0.357708i
\(472\) 8.41558 4.85874i 0.387359 0.223642i
\(473\) −16.8006 9.69983i −0.772492 0.445999i
\(474\) 19.3927 + 3.01963i 0.890738 + 0.138696i
\(475\) 4.23963 + 2.44775i 0.194528 + 0.112311i
\(476\) −13.7683 9.81792i −0.631071 0.450004i
\(477\) 19.0802 + 20.9694i 0.873621 + 0.960124i
\(478\) 8.04081 13.9271i 0.367778 0.637010i
\(479\) 17.2835 0.789705 0.394852 0.918745i \(-0.370796\pi\)
0.394852 + 0.918745i \(0.370796\pi\)
\(480\) −0.607133 + 0.753762i −0.0277117 + 0.0344044i
\(481\) 18.6592 + 30.9433i 0.850786 + 1.41089i
\(482\) −3.41298 −0.155457
\(483\) 1.55939 + 1.52399i 0.0709546 + 0.0693440i
\(484\) −15.2353 26.3884i −0.692515 1.19947i
\(485\) 2.34448i 0.106457i
\(486\) 15.0033 4.23080i 0.680565 0.191913i
\(487\) −2.86232 4.95769i −0.129704 0.224654i 0.793858 0.608104i \(-0.208069\pi\)
−0.923562 + 0.383449i \(0.874736\pi\)
\(488\) −6.08860 −0.275618
\(489\) 0.494316 3.17461i 0.0223537 0.143561i
\(490\) −0.745279 + 3.83993i −0.0336683 + 0.173470i
\(491\) 33.9357 19.5928i 1.53150 0.884211i 0.532206 0.846615i \(-0.321363\pi\)
0.999293 0.0375963i \(-0.0119701\pi\)
\(492\) −9.32825 7.51363i −0.420550 0.338741i
\(493\) 19.1755 + 11.0710i 0.863620 + 0.498611i
\(494\) 1.94439 + 3.22447i 0.0874824 + 0.145076i
\(495\) −10.5478 + 2.29964i −0.474090 + 0.103361i
\(496\) −0.995309 + 0.574642i −0.0446907 + 0.0258022i
\(497\) −13.9412 + 19.5506i −0.625347 + 0.876966i
\(498\) −3.14523 + 3.90483i −0.140941 + 0.174980i
\(499\) −13.0911 22.6744i −0.586037 1.01505i −0.994745 0.102381i \(-0.967354\pi\)
0.408709 0.912665i \(-0.365979\pi\)
\(500\) 2.70675 + 4.68822i 0.121049 + 0.209664i
\(501\) −25.2642 + 9.77377i −1.12872 + 0.436660i
\(502\) −11.7260 + 6.77003i −0.523359 + 0.302161i
\(503\) −1.72780 + 2.99265i −0.0770390 + 0.133435i −0.901971 0.431796i \(-0.857880\pi\)
0.824932 + 0.565232i \(0.191213\pi\)
\(504\) 7.29581 + 3.12589i 0.324981 + 0.139238i
\(505\) 2.85886 + 4.95169i 0.127218 + 0.220347i
\(506\) −2.65358 + 1.53205i −0.117966 + 0.0681077i
\(507\) 20.6756 8.91740i 0.918235 0.396036i
\(508\) −3.35100 + 5.80411i −0.148677 + 0.257516i
\(509\) −12.5186 + 21.6829i −0.554879 + 0.961078i 0.443034 + 0.896505i \(0.353902\pi\)
−0.997913 + 0.0645734i \(0.979431\pi\)
\(510\) −2.23198 5.76944i −0.0988337 0.255475i
\(511\) −16.2677 + 22.8133i −0.719641 + 1.00920i
\(512\) 1.00000i 0.0441942i
\(513\) 4.85415 + 2.42561i 0.214316 + 0.107093i
\(514\) −18.8277 + 10.8702i −0.830456 + 0.479464i
\(515\) −5.89303 3.40234i −0.259678 0.149925i
\(516\) −0.802780 + 5.15564i −0.0353404 + 0.226964i
\(517\) −1.62143 + 0.936133i −0.0713104 + 0.0411711i
\(518\) 10.9990 + 24.1260i 0.483268 + 1.06004i
\(519\) 2.94677 18.9248i 0.129349 0.830707i
\(520\) 0.0383446 + 2.01441i 0.00168152 + 0.0883378i
\(521\) −17.0217 + 29.4824i −0.745732 + 1.29165i 0.204119 + 0.978946i \(0.434567\pi\)
−0.949852 + 0.312701i \(0.898766\pi\)
\(522\) −9.90081 3.15991i −0.433347 0.138305i
\(523\) −10.5809 6.10886i −0.462669 0.267122i 0.250497 0.968117i \(-0.419406\pi\)
−0.713166 + 0.700995i \(0.752739\pi\)
\(524\) 7.69518 13.3284i 0.336165 0.582256i
\(525\) 15.0147 15.3634i 0.655294 0.670513i
\(526\) −8.41744 + 14.5794i −0.367018 + 0.635693i
\(527\) 7.34565i 0.319981i
\(528\) −6.99679 + 8.68659i −0.304496 + 0.378035i
\(529\) −11.3868 19.7225i −0.495078 0.857501i
\(530\) −2.64040 + 4.57331i −0.114692 + 0.198652i
\(531\) −6.20995 28.4833i −0.269489 1.23607i
\(532\) 1.14616 + 2.51407i 0.0496923 + 0.108999i
\(533\) −24.9295 + 0.474537i −1.07982 + 0.0205545i
\(534\) −2.02303 5.22933i −0.0875452 0.226295i
\(535\) 3.98705i 0.172375i
\(536\) 11.3956i 0.492215i
\(537\) −0.0486377 0.00757333i −0.00209887 0.000326813i
\(538\) 16.0123i 0.690338i
\(539\) −8.58883 + 44.2526i −0.369947 + 1.90610i
\(540\) 1.60044 + 2.42270i 0.0688719 + 0.104257i
\(541\) −18.7767 32.5222i −0.807273 1.39824i −0.914746 0.404030i \(-0.867609\pi\)
0.107472 0.994208i \(-0.465724\pi\)
\(542\) −6.25638 10.8364i −0.268735 0.465462i
\(543\) −3.49803 0.544675i −0.150115 0.0233742i
\(544\) −5.53520 3.19575i −0.237320 0.137017i
\(545\) 2.58061 0.110541
\(546\) 15.8218 4.76129i 0.677112 0.203764i
\(547\) 35.7930 1.53040 0.765199 0.643794i \(-0.222640\pi\)
0.765199 + 0.643794i \(0.222640\pi\)
\(548\) 4.68256 + 2.70348i 0.200029 + 0.115487i
\(549\) −5.55366 + 17.4010i −0.237024 + 0.742658i
\(550\) 15.0940 + 26.1436i 0.643611 + 1.11477i
\(551\) −1.80891 3.13312i −0.0770621 0.133475i
\(552\) 0.641815 + 0.516963i 0.0273175 + 0.0220034i
\(553\) 27.2787 12.4363i 1.16001 0.528845i
\(554\) 0.615872i 0.0261659i
\(555\) −1.49235 + 9.58420i −0.0633467 + 0.406827i
\(556\) 15.9882i 0.678053i
\(557\) 0.484593i 0.0205329i −0.999947 0.0102664i \(-0.996732\pi\)
0.999947 0.0102664i \(-0.00326796\pi\)
\(558\) 0.734449 + 3.36872i 0.0310917 + 0.142609i
\(559\) 5.60885 + 9.30139i 0.237229 + 0.393407i
\(560\) −0.141494 + 1.47166i −0.00597921 + 0.0621888i
\(561\) −25.7220 66.4889i −1.08599 2.80716i
\(562\) 12.4355 21.5390i 0.524561 0.908567i
\(563\) −7.46317 12.9266i −0.314535 0.544791i 0.664803 0.747018i \(-0.268515\pi\)
−0.979339 + 0.202227i \(0.935182\pi\)
\(564\) 0.392172 + 0.315883i 0.0165134 + 0.0133011i
\(565\) 3.57474i 0.150390i
\(566\) −13.4307 + 23.2627i −0.564536 + 0.977805i
\(567\) 15.5885 18.0000i 0.654655 0.755927i
\(568\) −4.53787 + 7.85983i −0.190405 + 0.329791i
\(569\) −2.82588 1.63152i −0.118467 0.0683971i 0.439595 0.898196i \(-0.355122\pi\)
−0.558063 + 0.829799i \(0.688455\pi\)
\(570\) −0.155511 + 0.998728i −0.00651365 + 0.0418321i
\(571\) −13.9187 + 24.1078i −0.582478 + 1.00888i 0.412706 + 0.910864i \(0.364584\pi\)
−0.995185 + 0.0980177i \(0.968750\pi\)
\(572\) 0.441895 + 23.2147i 0.0184766 + 0.970656i
\(573\) 14.2245 + 2.21488i 0.594237 + 0.0925281i
\(574\) −18.2126 1.75107i −0.760180 0.0730883i
\(575\) 1.93164 1.11523i 0.0805548 0.0465084i
\(576\) 2.85797 + 0.912140i 0.119082 + 0.0380058i
\(577\) −15.4524 8.92144i −0.643291 0.371404i 0.142590 0.989782i \(-0.454457\pi\)
−0.785881 + 0.618378i \(0.787790\pi\)
\(578\) 20.6558 11.9256i 0.859169 0.496041i
\(579\) 4.77971 30.6964i 0.198638 1.27570i
\(580\) 1.93583i 0.0803811i
\(581\) −0.733004 + 7.62385i −0.0304101 + 0.316291i
\(582\) −6.77746 + 2.62195i −0.280935 + 0.108683i
\(583\) −30.4288 + 52.7043i −1.26023 + 2.18279i
\(584\) −5.29516 + 9.17149i −0.219115 + 0.379519i
\(585\) 5.79211 + 1.72784i 0.239474 + 0.0714373i
\(586\) −9.40912 + 5.43236i −0.388687 + 0.224409i
\(587\) −10.1829 17.6373i −0.420293 0.727969i 0.575675 0.817679i \(-0.304739\pi\)
−0.995968 + 0.0897099i \(0.971406\pi\)
\(588\) 11.9340 2.13992i 0.492151 0.0882488i
\(589\) −0.600110 + 1.03942i −0.0247271 + 0.0428286i
\(590\) 4.70261 2.71505i 0.193604 0.111777i
\(591\) −14.1703 36.6287i −0.582888 1.50670i
\(592\) 5.01086 + 8.67906i 0.205945 + 0.356707i
\(593\) 16.1774 + 28.0200i 0.664325 + 1.15064i 0.979468 + 0.201600i \(0.0646140\pi\)
−0.315143 + 0.949044i \(0.602053\pi\)
\(594\) 18.4440 + 27.9200i 0.756766 + 1.14557i
\(595\) −7.69373 5.48624i −0.315412 0.224914i
\(596\) −9.55221 + 5.51497i −0.391274 + 0.225902i
\(597\) 0.321420 + 0.830837i 0.0131548 + 0.0340039i
\(598\) 1.71524 0.0326498i 0.0701412 0.00133515i
\(599\) 22.7092 + 13.1112i 0.927875 + 0.535709i 0.886139 0.463420i \(-0.153378\pi\)
0.0417359 + 0.999129i \(0.486711\pi\)
\(600\) 5.09322 6.32329i 0.207930 0.258147i
\(601\) −11.2795 + 6.51220i −0.460099 + 0.265638i −0.712086 0.702092i \(-0.752249\pi\)
0.251987 + 0.967731i \(0.418916\pi\)
\(602\) 3.30624 + 7.25216i 0.134752 + 0.295576i
\(603\) −32.5683 10.3944i −1.32628 0.423292i
\(604\) 1.44579 0.0588282
\(605\) −8.51348 14.7458i −0.346122 0.599501i
\(606\) 11.1172 13.8021i 0.451606 0.560674i
\(607\) 16.5542i 0.671914i 0.941877 + 0.335957i \(0.109060\pi\)
−0.941877 + 0.335957i \(0.890940\pi\)
\(608\) 0.522160 + 0.904408i 0.0211764 + 0.0366786i
\(609\) −15.2862 + 4.28459i −0.619428 + 0.173620i
\(610\) −3.40230 −0.137755
\(611\) 1.04807 0.0199501i 0.0424004 0.000807097i
\(612\) −14.1822 + 12.9045i −0.573283 + 0.521633i
\(613\) 6.40588 0.258731 0.129366 0.991597i \(-0.458706\pi\)
0.129366 + 0.991597i \(0.458706\pi\)
\(614\) 4.76256 8.24899i 0.192201 0.332902i
\(615\) −5.21261 4.19860i −0.210193 0.169304i
\(616\) −1.63062 + 16.9598i −0.0656996 + 0.683331i
\(617\) −1.20187 0.693899i −0.0483854 0.0279353i 0.475612 0.879655i \(-0.342227\pi\)
−0.523998 + 0.851720i \(0.675560\pi\)
\(618\) −3.24508 + 20.8407i −0.130536 + 0.838334i
\(619\) −33.9833 19.6203i −1.36591 0.788606i −0.375503 0.926821i \(-0.622530\pi\)
−0.990402 + 0.138215i \(0.955863\pi\)
\(620\) −0.556177 + 0.321109i −0.0223366 + 0.0128960i
\(621\) 2.06289 1.36275i 0.0827810 0.0546851i
\(622\) 20.8814 12.0559i 0.837268 0.483397i
\(623\) −6.97349 4.97265i −0.279387 0.199225i
\(624\) 5.78041 2.36366i 0.231401 0.0946221i
\(625\) −10.2068 17.6788i −0.408273 0.707150i
\(626\) −1.52774 −0.0610607
\(627\) −1.79216 + 11.5097i −0.0715720 + 0.459652i
\(628\) 5.75520i 0.229657i
\(629\) −64.0538 −2.55399
\(630\) 4.07689 + 1.74674i 0.162427 + 0.0695918i
\(631\) 14.6605 25.3928i 0.583627 1.01087i −0.411418 0.911447i \(-0.634966\pi\)
0.995045 0.0994248i \(-0.0317003\pi\)
\(632\) 9.81321 5.66566i 0.390349 0.225368i
\(633\) 13.1550 5.08916i 0.522863 0.202276i
\(634\) −29.7658 −1.18215
\(635\) −1.87254 + 3.24333i −0.0743093 + 0.128707i
\(636\) 16.1735 + 2.51836i 0.641320 + 0.0998594i
\(637\) 16.1872 19.3643i 0.641360 0.767240i
\(638\) 22.3092i 0.883228i
\(639\) 18.3240 + 20.1384i 0.724885 + 0.796662i
\(640\) 0.558798i 0.0220884i
\(641\) −18.8464 + 10.8810i −0.744389 + 0.429773i −0.823663 0.567080i \(-0.808073\pi\)
0.0792742 + 0.996853i \(0.474740\pi\)
\(642\) 11.5258 4.45892i 0.454889 0.175979i
\(643\) −7.70064 4.44597i −0.303684 0.175332i 0.340413 0.940276i \(-0.389433\pi\)
−0.644097 + 0.764944i \(0.722767\pi\)
\(644\) 1.25309 + 0.120480i 0.0493786 + 0.00474756i
\(645\) −0.448592 + 2.88096i −0.0176633 + 0.113438i
\(646\) −6.67477 −0.262615
\(647\) 27.6612 1.08747 0.543736 0.839256i \(-0.317009\pi\)
0.543736 + 0.839256i \(0.317009\pi\)
\(648\) 5.21374 7.33600i 0.204815 0.288185i
\(649\) 54.1944 31.2892i 2.12732 1.22821i
\(650\) −0.321672 16.8988i −0.0126170 0.662827i
\(651\) 3.76661 + 3.68111i 0.147625 + 0.144274i
\(652\) −0.927473 1.60643i −0.0363227 0.0629127i
\(653\) 0.677621 + 0.391225i 0.0265174 + 0.0153098i 0.513200 0.858269i \(-0.328460\pi\)
−0.486683 + 0.873579i \(0.661793\pi\)
\(654\) −2.88602 7.46008i −0.112852 0.291712i
\(655\) 4.30005 7.44791i 0.168017 0.291014i
\(656\) −6.91546 −0.270003
\(657\) 21.3819 + 23.4991i 0.834189 + 0.916788i
\(658\) 0.765681 + 0.0736173i 0.0298494 + 0.00286990i
\(659\) 4.04939 + 2.33792i 0.157742 + 0.0910723i 0.576793 0.816890i \(-0.304304\pi\)
−0.419051 + 0.907963i \(0.637637\pi\)
\(660\) −3.90980 + 4.85405i −0.152189 + 0.188944i
\(661\) 12.1466i 0.472449i −0.971699 0.236224i \(-0.924090\pi\)
0.971699 0.236224i \(-0.0759101\pi\)
\(662\) −22.3440 12.9003i −0.868424 0.501385i
\(663\) −5.38940 + 39.5494i −0.209307 + 1.53597i
\(664\) 2.89483i 0.112341i
\(665\) 0.640471 + 1.40486i 0.0248364 + 0.0544781i
\(666\) 29.3751 6.40437i 1.13826 0.248164i
\(667\) −1.64833 −0.0638235
\(668\) −7.81988 + 13.5444i −0.302560 + 0.524050i
\(669\) 10.5446 + 27.2566i 0.407677 + 1.05380i
\(670\) 6.36784i 0.246011i
\(671\) −39.2092 −1.51365
\(672\) 4.41252 1.23679i 0.170217 0.0477102i
\(673\) 12.6791 + 21.9608i 0.488743 + 0.846527i 0.999916 0.0129505i \(-0.00412238\pi\)
−0.511173 + 0.859478i \(0.670789\pi\)
\(674\) 19.2745 + 11.1282i 0.742427 + 0.428641i
\(675\) −13.4260 20.3240i −0.516769 0.782271i
\(676\) 6.06684 11.4975i 0.233340 0.442213i
\(677\) −20.8673 36.1433i −0.801997 1.38910i −0.918300 0.395886i \(-0.870438\pi\)
0.116303 0.993214i \(-0.462896\pi\)
\(678\) −10.3339 + 3.99781i −0.396872 + 0.153535i
\(679\) −6.44479 + 9.03797i −0.247328 + 0.346845i
\(680\) −3.09306 1.78578i −0.118614 0.0684815i
\(681\) 48.4352 18.7378i 1.85604 0.718033i
\(682\) −6.40956 + 3.70056i −0.245435 + 0.141702i
\(683\) 12.4836 7.20742i 0.477672 0.275784i −0.241774 0.970333i \(-0.577729\pi\)
0.719446 + 0.694548i \(0.244396\pi\)
\(684\) 3.06105 0.667372i 0.117042 0.0255176i
\(685\) 2.61661 + 1.51070i 0.0999755 + 0.0577209i
\(686\) 13.4287 12.7542i 0.512710 0.486958i
\(687\) 13.7080 + 35.4337i 0.522991 + 1.35188i
\(688\) 1.50624 + 2.60888i 0.0574248 + 0.0994626i
\(689\) 29.1789 17.5952i 1.11163 0.670325i
\(690\) 0.358645 + 0.288878i 0.0136534 + 0.0109974i
\(691\) −0.200407 0.115705i −0.00762385 0.00440163i 0.496183 0.868218i \(-0.334734\pi\)
−0.503807 + 0.863816i \(0.668068\pi\)
\(692\) −5.52895 9.57643i −0.210179 0.364041i
\(693\) 46.9833 + 20.1300i 1.78475 + 0.764676i
\(694\) −20.4761 −0.777261
\(695\) 8.93421i 0.338894i
\(696\) −5.59614 + 2.16494i −0.212121 + 0.0820617i
\(697\) 22.1001 38.2785i 0.837101 1.44990i
\(698\) 5.10286 0.193146
\(699\) −7.90632 20.4370i −0.299045 0.773000i
\(700\) 1.18699 12.3457i 0.0448640 0.466623i
\(701\) 5.73534i 0.216621i −0.994117 0.108310i \(-0.965456\pi\)
0.994117 0.108310i \(-0.0345441\pi\)
\(702\) −1.48273 18.6762i −0.0559621 0.704889i
\(703\) 9.06372 + 5.23294i 0.341845 + 0.197364i
\(704\) 6.43977i 0.242708i
\(705\) 0.219145 + 0.176515i 0.00825347 + 0.00664793i
\(706\) −8.58396 4.95595i −0.323062 0.186520i
\(707\) 2.59090 26.9475i 0.0974408 1.01347i
\(708\) −13.1079 10.5580i −0.492624 0.396794i
\(709\) 26.1866 0.983458 0.491729 0.870748i \(-0.336365\pi\)
0.491729 + 0.870748i \(0.336365\pi\)
\(710\) −2.53576 + 4.39206i −0.0951652 + 0.164831i
\(711\) −7.24127 33.2137i −0.271569 1.24561i
\(712\) −2.80351 1.61861i −0.105066 0.0606598i
\(713\) 0.273419 + 0.473575i 0.0102396 + 0.0177355i
\(714\) −7.25544 + 28.3767i −0.271528 + 1.06197i
\(715\) 0.246930 + 12.9724i 0.00923467 + 0.485138i
\(716\) −0.0246119 + 0.0142097i −0.000919789 + 0.000531041i
\(717\) −27.5225 4.28551i −1.02785 0.160045i
\(718\) −8.56372 −0.319595
\(719\) 20.5524 0.766477 0.383238 0.923649i \(-0.374809\pi\)
0.383238 + 0.923649i \(0.374809\pi\)
\(720\) 1.59703 + 0.509702i 0.0595178 + 0.0189955i
\(721\) 13.3648 + 29.3155i 0.497733 + 1.09176i
\(722\) −15.5100 8.95470i −0.577222 0.333259i
\(723\) 2.13288 + 5.51327i 0.0793225 + 0.205041i
\(724\) −1.77009 + 1.02196i −0.0657849 + 0.0379809i
\(725\) 16.2397i 0.603126i
\(726\) −33.1063 + 41.1018i −1.22869 + 1.52543i
\(727\) 32.5075i 1.20564i 0.797879 + 0.602818i \(0.205956\pi\)
−0.797879 + 0.602818i \(0.794044\pi\)
\(728\) 5.38963 7.87095i 0.199753 0.291717i
\(729\) −16.2104 21.5922i −0.600386 0.799710i
\(730\) −2.95893 + 5.12501i −0.109515 + 0.189685i
\(731\) −19.2542 −0.712144
\(732\) 3.80496 + 9.83542i 0.140635 + 0.363528i
\(733\) 26.9299 15.5480i 0.994677 0.574277i 0.0880082 0.996120i \(-0.471950\pi\)
0.906669 + 0.421843i \(0.138616\pi\)
\(734\) 3.60012 6.23559i 0.132883 0.230160i
\(735\) 6.66871 1.19578i 0.245979 0.0441071i
\(736\) 0.475807 0.0175385
\(737\) 73.3851i 2.70317i
\(738\) −6.30787 + 19.7642i −0.232196 + 0.727530i
\(739\) 16.2385 0.597345 0.298672 0.954356i \(-0.403456\pi\)
0.298672 + 0.954356i \(0.403456\pi\)
\(740\) 2.80006 + 4.84985i 0.102932 + 0.178284i
\(741\) 3.99364 5.15601i 0.146710 0.189411i
\(742\) 22.7504 10.3718i 0.835193 0.380762i
\(743\) 41.5039 23.9623i 1.52263 0.879091i 0.522989 0.852340i \(-0.324817\pi\)
0.999642 0.0267517i \(-0.00851636\pi\)
\(744\) 1.55027 + 1.24869i 0.0568355 + 0.0457793i
\(745\) −5.33776 + 3.08176i −0.195560 + 0.112907i
\(746\) 18.4949 + 10.6781i 0.677148 + 0.390951i
\(747\) 8.27335 + 2.64049i 0.302706 + 0.0966106i
\(748\) −35.6454 20.5799i −1.30333 0.752476i
\(749\) 10.9601 15.3701i 0.400473 0.561610i
\(750\) 5.88175 7.30225i 0.214771 0.266641i
\(751\) −4.85920 + 8.41637i −0.177315 + 0.307118i −0.940960 0.338518i \(-0.890074\pi\)
0.763645 + 0.645636i \(0.223408\pi\)
\(752\) 0.290735 0.0106020
\(753\) 18.2642 + 14.7112i 0.665583 + 0.536107i
\(754\) −6.03832 + 10.9341i −0.219903 + 0.398197i
\(755\) 0.807903 0.0294026
\(756\) 0.490128 13.7390i 0.0178258 0.499682i
\(757\) −12.8376 22.2353i −0.466589 0.808156i 0.532682 0.846315i \(-0.321184\pi\)
−0.999272 + 0.0381589i \(0.987851\pi\)
\(758\) 20.1014i 0.730116i
\(759\) 4.13314 + 3.32912i 0.150024 + 0.120840i
\(760\) 0.291782 + 0.505382i 0.0105841 + 0.0183321i
\(761\) 16.2660 0.589642 0.294821 0.955553i \(-0.404740\pi\)
0.294821 + 0.955553i \(0.404740\pi\)
\(762\) 11.4700 + 1.78599i 0.415514 + 0.0646994i
\(763\) −9.94825 7.09389i −0.360151 0.256816i
\(764\) 7.19795 4.15574i 0.260413 0.150349i
\(765\) −7.92501 + 7.21100i −0.286530 + 0.260714i
\(766\) −28.2249 16.2956i −1.01981 0.588786i
\(767\) −35.0305 + 0.666810i −1.26488 + 0.0240771i
\(768\) 1.61538 0.624931i 0.0582901 0.0225503i
\(769\) −11.5748 + 6.68271i −0.417398 + 0.240985i −0.693963 0.720010i \(-0.744137\pi\)
0.276566 + 0.960995i \(0.410804\pi\)
\(770\) −0.911189 + 9.47712i −0.0328370 + 0.341532i
\(771\) 29.3256 + 23.6209i 1.05613 + 0.850685i
\(772\) −8.96806 15.5331i −0.322767 0.559050i
\(773\) 12.4704 + 21.5993i 0.448527 + 0.776872i 0.998290 0.0584484i \(-0.0186153\pi\)
−0.549763 + 0.835321i \(0.685282\pi\)
\(774\) 8.83001 1.92512i 0.317388 0.0691970i
\(775\) 4.66575 2.69377i 0.167599 0.0967632i
\(776\)