Properties

Label 546.2.bu.a.323.6
Level $546$
Weight $2$
Character 546.323
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
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.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 323.6
Character \(\chi\) \(=\) 546.323
Dual form 546.2.bu.a.71.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.41231 + 1.00269i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.61115 - 2.61115i) q^{5} +(-1.10467 - 1.33405i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.989233 + 2.83221i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(1.41231 + 1.00269i) q^{3} +(0.866025 + 0.500000i) q^{4} +(2.61115 - 2.61115i) q^{5} +(-1.10467 - 1.33405i) q^{6} +(0.258819 + 0.965926i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.989233 + 2.83221i) q^{9} +(-3.19799 + 1.84636i) q^{10} +(-1.56188 + 5.82901i) q^{11} +(0.721751 + 1.57451i) q^{12} +(1.58952 + 3.23627i) q^{13} -1.00000i q^{14} +(6.30592 - 1.06958i) q^{15} +(0.500000 + 0.866025i) q^{16} +(1.62806 - 2.81989i) q^{17} +(-0.222496 - 2.99174i) q^{18} +(-2.15510 + 0.577458i) q^{19} +(3.56689 - 0.955747i) q^{20} +(-0.602990 + 1.62370i) q^{21} +(3.01732 - 5.22615i) q^{22} +(-1.52364 - 2.63902i) q^{23} +(-0.289646 - 1.70766i) q^{24} -8.63619i q^{25} +(-0.697753 - 3.53739i) q^{26} +(-1.44272 + 4.99185i) q^{27} +(-0.258819 + 0.965926i) q^{28} +(6.11415 - 3.53000i) q^{29} +(-6.36787 - 0.598955i) q^{30} +(-4.91451 - 4.91451i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-8.05053 + 6.66628i) q^{33} +(-2.30243 + 2.30243i) q^{34} +(3.19799 + 1.84636i) q^{35} +(-0.559404 + 2.94738i) q^{36} +(7.89610 + 2.11575i) q^{37} +2.23113 q^{38} +(-1.00007 + 6.16440i) q^{39} -3.69272 q^{40} +(-4.19703 - 1.12459i) q^{41} +(1.00269 - 1.41231i) q^{42} +(6.69807 + 3.86713i) q^{43} +(-4.26713 + 4.26713i) q^{44} +(9.97836 + 4.81229i) q^{45} +(0.788694 + 2.94345i) q^{46} +(-6.62677 - 6.62677i) q^{47} +(-0.162199 + 1.72444i) q^{48} +(-0.866025 + 0.500000i) q^{49} +(-2.23521 + 8.34192i) q^{50} +(5.12680 - 2.35011i) q^{51} +(-0.241567 + 3.59745i) q^{52} -4.59708i q^{53} +(2.68555 - 4.44835i) q^{54} +(11.1421 + 19.2987i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-3.62268 - 1.34535i) q^{57} +(-6.81944 + 1.82726i) q^{58} +(-8.67455 + 2.32434i) q^{59} +(5.99587 + 2.22667i) q^{60} +(3.42268 - 5.92825i) q^{61} +(3.47509 + 6.01903i) q^{62} +(-2.47967 + 1.68856i) q^{63} +1.00000i q^{64} +(12.6008 + 4.29989i) q^{65} +(9.50158 - 4.35551i) q^{66} +(0.149573 - 0.558215i) q^{67} +(2.81989 - 1.62806i) q^{68} +(0.494265 - 5.25485i) q^{69} +(-2.61115 - 2.61115i) q^{70} +(-2.31748 - 8.64897i) q^{71} +(1.30318 - 2.70217i) q^{72} +(-0.971299 + 0.971299i) q^{73} +(-7.07945 - 4.08732i) q^{74} +(8.65940 - 12.1970i) q^{75} +(-2.15510 - 0.577458i) q^{76} -6.03463 q^{77} +(2.56146 - 5.69552i) q^{78} -4.53007 q^{79} +(3.56689 + 0.955747i) q^{80} +(-7.04284 + 5.60343i) q^{81} +(3.76296 + 2.17254i) q^{82} +(-1.86388 + 1.86388i) q^{83} +(-1.33405 + 1.10467i) q^{84} +(-3.11203 - 11.6143i) q^{85} +(-5.46895 - 5.46895i) q^{86} +(12.1746 + 1.14513i) q^{87} +(5.22615 - 3.01732i) q^{88} +(1.68996 - 6.30702i) q^{89} +(-8.39284 - 7.23090i) q^{90} +(-2.71459 + 2.37297i) q^{91} -3.04728i q^{92} +(-2.01309 - 11.8685i) q^{93} +(4.68583 + 8.11610i) q^{94} +(-4.11946 + 7.13512i) q^{95} +(0.602990 - 1.62370i) q^{96} +(-3.38977 + 0.908285i) q^{97} +(0.965926 - 0.258819i) q^{98} +(-18.0540 + 1.34268i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) 1.41231 + 1.00269i 0.815397 + 0.578902i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) 2.61115 2.61115i 1.16774 1.16774i 0.185003 0.982738i \(-0.440771\pi\)
0.982738 0.185003i \(-0.0592295\pi\)
\(6\) −1.10467 1.33405i −0.450980 0.544626i
\(7\) 0.258819 + 0.965926i 0.0978244 + 0.365086i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 0.989233 + 2.83221i 0.329744 + 0.944070i
\(10\) −3.19799 + 1.84636i −1.01129 + 0.583870i
\(11\) −1.56188 + 5.82901i −0.470924 + 1.75751i 0.165537 + 0.986204i \(0.447064\pi\)
−0.636461 + 0.771309i \(0.719602\pi\)
\(12\) 0.721751 + 1.57451i 0.208352 + 0.454521i
\(13\) 1.58952 + 3.23627i 0.440854 + 0.897579i
\(14\) 1.00000i 0.267261i
\(15\) 6.30592 1.06958i 1.62818 0.276165i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 1.62806 2.81989i 0.394863 0.683923i −0.598220 0.801332i \(-0.704125\pi\)
0.993084 + 0.117408i \(0.0374586\pi\)
\(18\) −0.222496 2.99174i −0.0524428 0.705159i
\(19\) −2.15510 + 0.577458i −0.494415 + 0.132478i −0.497407 0.867518i \(-0.665714\pi\)
0.00299203 + 0.999996i \(0.499048\pi\)
\(20\) 3.56689 0.955747i 0.797582 0.213711i
\(21\) −0.602990 + 1.62370i −0.131583 + 0.354320i
\(22\) 3.01732 5.22615i 0.643294 1.11422i
\(23\) −1.52364 2.63902i −0.317701 0.550274i 0.662307 0.749233i \(-0.269577\pi\)
−0.980008 + 0.198958i \(0.936244\pi\)
\(24\) −0.289646 1.70766i −0.0591237 0.348575i
\(25\) 8.63619i 1.72724i
\(26\) −0.697753 3.53739i −0.136841 0.693740i
\(27\) −1.44272 + 4.99185i −0.277652 + 0.960682i
\(28\) −0.258819 + 0.965926i −0.0489122 + 0.182543i
\(29\) 6.11415 3.53000i 1.13537 0.655505i 0.190089 0.981767i \(-0.439122\pi\)
0.945279 + 0.326262i \(0.105789\pi\)
\(30\) −6.36787 0.598955i −1.16261 0.109354i
\(31\) −4.91451 4.91451i −0.882673 0.882673i 0.111133 0.993806i \(-0.464552\pi\)
−0.993806 + 0.111133i \(0.964552\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) −8.05053 + 6.66628i −1.40142 + 1.16045i
\(34\) −2.30243 + 2.30243i −0.394863 + 0.394863i
\(35\) 3.19799 + 1.84636i 0.540559 + 0.312092i
\(36\) −0.559404 + 2.94738i −0.0932340 + 0.491231i
\(37\) 7.89610 + 2.11575i 1.29811 + 0.347828i 0.840735 0.541446i \(-0.182123\pi\)
0.457375 + 0.889274i \(0.348790\pi\)
\(38\) 2.23113 0.361937
\(39\) −1.00007 + 6.16440i −0.160139 + 0.987094i
\(40\) −3.69272 −0.583870
\(41\) −4.19703 1.12459i −0.655466 0.175632i −0.0842672 0.996443i \(-0.526855\pi\)
−0.571199 + 0.820811i \(0.693522\pi\)
\(42\) 1.00269 1.41231i 0.154718 0.217924i
\(43\) 6.69807 + 3.86713i 1.02145 + 0.589732i 0.914522 0.404536i \(-0.132567\pi\)
0.106923 + 0.994267i \(0.465900\pi\)
\(44\) −4.26713 + 4.26713i −0.643294 + 0.643294i
\(45\) 9.97836 + 4.81229i 1.48749 + 0.717373i
\(46\) 0.788694 + 2.94345i 0.116287 + 0.433988i
\(47\) −6.62677 6.62677i −0.966614 0.966614i 0.0328467 0.999460i \(-0.489543\pi\)
−0.999460 + 0.0328467i \(0.989543\pi\)
\(48\) −0.162199 + 1.72444i −0.0234114 + 0.248901i
\(49\) −0.866025 + 0.500000i −0.123718 + 0.0714286i
\(50\) −2.23521 + 8.34192i −0.316106 + 1.17973i
\(51\) 5.12680 2.35011i 0.717895 0.329082i
\(52\) −0.241567 + 3.59745i −0.0334993 + 0.498877i
\(53\) 4.59708i 0.631458i −0.948849 0.315729i \(-0.897751\pi\)
0.948849 0.315729i \(-0.102249\pi\)
\(54\) 2.68555 4.44835i 0.365457 0.605344i
\(55\) 11.1421 + 19.2987i 1.50240 + 2.60224i
\(56\) 0.500000 0.866025i 0.0668153 0.115728i
\(57\) −3.62268 1.34535i −0.479836 0.178196i
\(58\) −6.81944 + 1.82726i −0.895437 + 0.239932i
\(59\) −8.67455 + 2.32434i −1.12933 + 0.302603i −0.774653 0.632386i \(-0.782076\pi\)
−0.354677 + 0.934989i \(0.615409\pi\)
\(60\) 5.99587 + 2.22667i 0.774064 + 0.287462i
\(61\) 3.42268 5.92825i 0.438229 0.759034i −0.559324 0.828949i \(-0.688939\pi\)
0.997553 + 0.0699146i \(0.0222727\pi\)
\(62\) 3.47509 + 6.01903i 0.441336 + 0.764417i
\(63\) −2.47967 + 1.68856i −0.312409 + 0.212738i
\(64\) 1.00000i 0.125000i
\(65\) 12.6008 + 4.29989i 1.56294 + 0.533336i
\(66\) 9.50158 4.35551i 1.16956 0.536126i
\(67\) 0.149573 0.558215i 0.0182733 0.0681968i −0.956187 0.292756i \(-0.905428\pi\)
0.974460 + 0.224559i \(0.0720943\pi\)
\(68\) 2.81989 1.62806i 0.341962 0.197432i
\(69\) 0.494265 5.25485i 0.0595026 0.632610i
\(70\) −2.61115 2.61115i −0.312092 0.312092i
\(71\) −2.31748 8.64897i −0.275035 1.02644i −0.955818 0.293959i \(-0.905027\pi\)
0.680783 0.732485i \(-0.261639\pi\)
\(72\) 1.30318 2.70217i 0.153581 0.318454i
\(73\) −0.971299 + 0.971299i −0.113682 + 0.113682i −0.761659 0.647978i \(-0.775615\pi\)
0.647978 + 0.761659i \(0.275615\pi\)
\(74\) −7.07945 4.08732i −0.822969 0.475141i
\(75\) 8.65940 12.1970i 0.999902 1.40838i
\(76\) −2.15510 0.577458i −0.247207 0.0662390i
\(77\) −6.03463 −0.687710
\(78\) 2.56146 5.69552i 0.290028 0.644890i
\(79\) −4.53007 −0.509672 −0.254836 0.966984i \(-0.582022\pi\)
−0.254836 + 0.966984i \(0.582022\pi\)
\(80\) 3.56689 + 0.955747i 0.398791 + 0.106856i
\(81\) −7.04284 + 5.60343i −0.782537 + 0.622604i
\(82\) 3.76296 + 2.17254i 0.415549 + 0.239917i
\(83\) −1.86388 + 1.86388i −0.204588 + 0.204588i −0.801962 0.597375i \(-0.796211\pi\)
0.597375 + 0.801962i \(0.296211\pi\)
\(84\) −1.33405 + 1.10467i −0.145557 + 0.120529i
\(85\) −3.11203 11.6143i −0.337547 1.25974i
\(86\) −5.46895 5.46895i −0.589732 0.589732i
\(87\) 12.1746 + 1.14513i 1.30525 + 0.122770i
\(88\) 5.22615 3.01732i 0.557109 0.321647i
\(89\) 1.68996 6.30702i 0.179136 0.668543i −0.816675 0.577098i \(-0.804185\pi\)
0.995810 0.0914447i \(-0.0291485\pi\)
\(90\) −8.39284 7.23090i −0.884683 0.762204i
\(91\) −2.71459 + 2.37297i −0.284567 + 0.248755i
\(92\) 3.04728i 0.317701i
\(93\) −2.01309 11.8685i −0.208747 1.23071i
\(94\) 4.68583 + 8.11610i 0.483307 + 0.837112i
\(95\) −4.11946 + 7.13512i −0.422648 + 0.732048i
\(96\) 0.602990 1.62370i 0.0615424 0.165718i
\(97\) −3.38977 + 0.908285i −0.344179 + 0.0922224i −0.426768 0.904361i \(-0.640348\pi\)
0.0825890 + 0.996584i \(0.473681\pi\)
\(98\) 0.965926 0.258819i 0.0975732 0.0261447i
\(99\) −18.0540 + 1.34268i −1.81450 + 0.134945i
\(100\) 4.31809 7.47916i 0.431809 0.747916i
\(101\) 3.96010 + 6.85910i 0.394045 + 0.682506i 0.992979 0.118293i \(-0.0377421\pi\)
−0.598934 + 0.800799i \(0.704409\pi\)
\(102\) −5.56036 + 0.943123i −0.550558 + 0.0933831i
\(103\) 0.941362i 0.0927551i −0.998924 0.0463776i \(-0.985232\pi\)
0.998924 0.0463776i \(-0.0147677\pi\)
\(104\) 1.16442 3.41235i 0.114181 0.334608i
\(105\) 2.66523 + 5.81422i 0.260099 + 0.567410i
\(106\) −1.18981 + 4.44044i −0.115565 + 0.431294i
\(107\) −4.08645 + 2.35931i −0.395052 + 0.228083i −0.684347 0.729157i \(-0.739912\pi\)
0.289295 + 0.957240i \(0.406579\pi\)
\(108\) −3.74536 + 3.60171i −0.360397 + 0.346574i
\(109\) 12.4573 + 12.4573i 1.19319 + 1.19319i 0.976166 + 0.217027i \(0.0696361\pi\)
0.217027 + 0.976166i \(0.430364\pi\)
\(110\) −5.76758 21.5249i −0.549917 2.05232i
\(111\) 9.03029 + 10.9054i 0.857117 + 1.03510i
\(112\) −0.707107 + 0.707107i −0.0668153 + 0.0668153i
\(113\) 4.05949 + 2.34374i 0.381884 + 0.220481i 0.678638 0.734473i \(-0.262571\pi\)
−0.296754 + 0.954954i \(0.595904\pi\)
\(114\) 3.15104 + 2.23712i 0.295122 + 0.209526i
\(115\) −10.8693 2.91243i −1.01357 0.271585i
\(116\) 7.06001 0.655505
\(117\) −7.59338 + 7.70328i −0.702008 + 0.712169i
\(118\) 8.98055 0.826727
\(119\) 3.14518 + 0.842748i 0.288318 + 0.0772545i
\(120\) −5.21526 3.70265i −0.476086 0.338004i
\(121\) −22.0116 12.7084i −2.00105 1.15531i
\(122\) −4.84039 + 4.84039i −0.438229 + 0.438229i
\(123\) −4.79989 5.79659i −0.432792 0.522661i
\(124\) −1.79884 6.71335i −0.161540 0.602877i
\(125\) −9.49463 9.49463i −0.849226 0.849226i
\(126\) 2.83221 0.989233i 0.252313 0.0881279i
\(127\) −4.17960 + 2.41310i −0.370880 + 0.214128i −0.673843 0.738875i \(-0.735358\pi\)
0.302963 + 0.953002i \(0.402024\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 5.58221 + 12.1777i 0.491486 + 1.07218i
\(130\) −11.0586 7.41472i −0.969903 0.650314i
\(131\) 12.6826i 1.10809i −0.832488 0.554043i \(-0.813084\pi\)
0.832488 0.554043i \(-0.186916\pi\)
\(132\) −10.3051 + 1.74791i −0.896945 + 0.152136i
\(133\) −1.11556 1.93221i −0.0967316 0.167544i
\(134\) −0.288953 + 0.500482i −0.0249618 + 0.0432350i
\(135\) 9.26730 + 16.8016i 0.797602 + 1.44605i
\(136\) −3.14518 + 0.842748i −0.269697 + 0.0722650i
\(137\) −16.4843 + 4.41694i −1.40835 + 0.377365i −0.881334 0.472493i \(-0.843354\pi\)
−0.527011 + 0.849858i \(0.676687\pi\)
\(138\) −1.83748 + 4.94787i −0.156417 + 0.421191i
\(139\) 6.28943 10.8936i 0.533462 0.923984i −0.465774 0.884904i \(-0.654224\pi\)
0.999236 0.0390801i \(-0.0124427\pi\)
\(140\) 1.84636 + 3.19799i 0.156046 + 0.270280i
\(141\) −2.71446 16.0036i −0.228599 1.34775i
\(142\) 8.95407i 0.751409i
\(143\) −21.3469 + 4.21068i −1.78511 + 0.352115i
\(144\) −1.95815 + 2.27281i −0.163179 + 0.189401i
\(145\) 6.74758 25.1823i 0.560356 2.09128i
\(146\) 1.18959 0.686812i 0.0984515 0.0568410i
\(147\) −1.72444 0.162199i −0.142229 0.0133779i
\(148\) 5.78034 + 5.78034i 0.475141 + 0.475141i
\(149\) 2.75005 + 10.2633i 0.225293 + 0.840805i 0.982287 + 0.187383i \(0.0600006\pi\)
−0.756994 + 0.653422i \(0.773333\pi\)
\(150\) −11.5212 + 9.54015i −0.940698 + 0.778950i
\(151\) 14.0155 14.0155i 1.14056 1.14056i 0.152215 0.988347i \(-0.451359\pi\)
0.988347 0.152215i \(-0.0486408\pi\)
\(152\) 1.93221 + 1.11556i 0.156723 + 0.0904841i
\(153\) 9.59705 + 1.82149i 0.775876 + 0.147259i
\(154\) 5.82901 + 1.56188i 0.469715 + 0.125860i
\(155\) −25.6651 −2.06147
\(156\) −3.94829 + 4.83849i −0.316116 + 0.387390i
\(157\) −23.9392 −1.91055 −0.955277 0.295714i \(-0.904443\pi\)
−0.955277 + 0.295714i \(0.904443\pi\)
\(158\) 4.37571 + 1.17247i 0.348113 + 0.0932765i
\(159\) 4.60944 6.49250i 0.365553 0.514889i
\(160\) −3.19799 1.84636i −0.252823 0.145968i
\(161\) 2.15475 2.15475i 0.169818 0.169818i
\(162\) 8.25313 3.58968i 0.648427 0.282032i
\(163\) −3.63359 13.5607i −0.284605 1.06216i −0.949128 0.314892i \(-0.898032\pi\)
0.664523 0.747268i \(-0.268635\pi\)
\(164\) −3.07244 3.07244i −0.239917 0.239917i
\(165\) −3.61448 + 38.4278i −0.281387 + 2.99160i
\(166\) 2.28278 1.31797i 0.177178 0.102294i
\(167\) 2.36296 8.81869i 0.182851 0.682411i −0.812229 0.583339i \(-0.801746\pi\)
0.995080 0.0990718i \(-0.0315873\pi\)
\(168\) 1.57451 0.721751i 0.121476 0.0556843i
\(169\) −7.94684 + 10.2882i −0.611295 + 0.791403i
\(170\) 12.0240i 0.922196i
\(171\) −3.76738 5.53247i −0.288099 0.423078i
\(172\) 3.86713 + 6.69807i 0.294866 + 0.510723i
\(173\) −9.16123 + 15.8677i −0.696515 + 1.20640i 0.273152 + 0.961971i \(0.411934\pi\)
−0.969667 + 0.244429i \(0.921400\pi\)
\(174\) −11.4633 4.25711i −0.869033 0.322731i
\(175\) 8.34192 2.23521i 0.630590 0.168966i
\(176\) −5.82901 + 1.56188i −0.439378 + 0.117731i
\(177\) −14.5817 5.41518i −1.09603 0.407030i
\(178\) −3.26476 + 5.65472i −0.244704 + 0.423839i
\(179\) 8.00281 + 13.8613i 0.598158 + 1.03604i 0.993093 + 0.117331i \(0.0374338\pi\)
−0.394935 + 0.918709i \(0.629233\pi\)
\(180\) 6.23537 + 9.15674i 0.464757 + 0.682503i
\(181\) 18.1748i 1.35092i −0.737395 0.675462i \(-0.763944\pi\)
0.737395 0.675462i \(-0.236056\pi\)
\(182\) 3.23627 1.58952i 0.239888 0.117823i
\(183\) 10.7781 4.94064i 0.796737 0.365223i
\(184\) −0.788694 + 2.94345i −0.0581433 + 0.216994i
\(185\) 26.1424 15.0933i 1.92203 1.10968i
\(186\) −1.12731 + 11.9852i −0.0826584 + 0.878794i
\(187\) 13.8943 + 13.8943i 1.01605 + 1.01605i
\(188\) −2.42557 9.05234i −0.176903 0.660209i
\(189\) −5.19516 0.101576i −0.377892 0.00738856i
\(190\) 5.82580 5.82580i 0.422648 0.422648i
\(191\) −1.65834 0.957440i −0.119993 0.0692780i 0.438802 0.898584i \(-0.355403\pi\)
−0.558795 + 0.829306i \(0.688736\pi\)
\(192\) −1.00269 + 1.41231i −0.0723628 + 0.101925i
\(193\) −10.9448 2.93266i −0.787826 0.211097i −0.157594 0.987504i \(-0.550374\pi\)
−0.630232 + 0.776407i \(0.717040\pi\)
\(194\) 3.50934 0.251956
\(195\) 13.4848 + 18.7075i 0.965669 + 1.33967i
\(196\) −1.00000 −0.0714286
\(197\) −6.81911 1.82717i −0.485841 0.130181i 0.00757989 0.999971i \(-0.497587\pi\)
−0.493421 + 0.869790i \(0.664254\pi\)
\(198\) 17.7864 + 3.37580i 1.26402 + 0.239908i
\(199\) 6.80879 + 3.93106i 0.482662 + 0.278665i 0.721525 0.692388i \(-0.243441\pi\)
−0.238863 + 0.971053i \(0.576775\pi\)
\(200\) −6.10671 + 6.10671i −0.431809 + 0.431809i
\(201\) 0.770959 0.638397i 0.0543793 0.0450290i
\(202\) −2.04990 7.65033i −0.144231 0.538276i
\(203\) 4.99218 + 4.99218i 0.350382 + 0.350382i
\(204\) 5.61499 + 0.528140i 0.393128 + 0.0369772i
\(205\) −13.8956 + 8.02260i −0.970507 + 0.560323i
\(206\) −0.243642 + 0.909286i −0.0169754 + 0.0633529i
\(207\) 5.96703 6.92588i 0.414737 0.481382i
\(208\) −2.00793 + 2.99470i −0.139225 + 0.207645i
\(209\) 13.4640i 0.931327i
\(210\) −1.06958 6.30592i −0.0738081 0.435149i
\(211\) −1.63268 2.82788i −0.112398 0.194679i 0.804339 0.594171i \(-0.202520\pi\)
−0.916737 + 0.399492i \(0.869186\pi\)
\(212\) 2.29854 3.98119i 0.157865 0.273429i
\(213\) 5.39921 14.5387i 0.369948 0.996177i
\(214\) 4.55784 1.22127i 0.311567 0.0834842i
\(215\) 27.5873 7.39199i 1.88144 0.504130i
\(216\) 4.54993 2.50961i 0.309583 0.170757i
\(217\) 3.47509 6.01903i 0.235904 0.408598i
\(218\) −8.80864 15.2570i −0.596596 1.03334i
\(219\) −2.34568 + 0.397864i −0.158507 + 0.0268852i
\(220\) 22.2842i 1.50240i
\(221\) 11.7138 + 0.786572i 0.787952 + 0.0529106i
\(222\) −5.90006 12.8710i −0.395986 0.863848i
\(223\) −4.26674 + 15.9237i −0.285722 + 1.06633i 0.662588 + 0.748984i \(0.269458\pi\)
−0.948310 + 0.317345i \(0.897209\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) 24.4595 8.54321i 1.63063 0.569547i
\(226\) −3.31456 3.31456i −0.220481 0.220481i
\(227\) 3.25048 + 12.1310i 0.215742 + 0.805160i 0.985904 + 0.167312i \(0.0535087\pi\)
−0.770162 + 0.637848i \(0.779825\pi\)
\(228\) −2.46466 2.97645i −0.163226 0.197120i
\(229\) 1.81709 1.81709i 0.120077 0.120077i −0.644515 0.764592i \(-0.722941\pi\)
0.764592 + 0.644515i \(0.222941\pi\)
\(230\) 9.74517 + 5.62638i 0.642578 + 0.370992i
\(231\) −8.52277 6.05086i −0.560757 0.398117i
\(232\) −6.81944 1.82726i −0.447718 0.119966i
\(233\) 11.6743 0.764807 0.382403 0.923995i \(-0.375096\pi\)
0.382403 + 0.923995i \(0.375096\pi\)
\(234\) 9.32840 5.47549i 0.609817 0.357944i
\(235\) −34.6070 −2.25751
\(236\) −8.67455 2.32434i −0.564665 0.151302i
\(237\) −6.39785 4.54224i −0.415585 0.295050i
\(238\) −2.81989 1.62806i −0.182786 0.105532i
\(239\) −6.93024 + 6.93024i −0.448280 + 0.448280i −0.894782 0.446503i \(-0.852669\pi\)
0.446503 + 0.894782i \(0.352669\pi\)
\(240\) 4.07924 + 4.92629i 0.263314 + 0.317991i
\(241\) −5.32635 19.8782i −0.343100 1.28047i −0.894816 0.446436i \(-0.852693\pi\)
0.551715 0.834032i \(-0.313973\pi\)
\(242\) 17.9724 + 17.9724i 1.15531 + 1.15531i
\(243\) −15.5652 + 0.852013i −0.998505 + 0.0546566i
\(244\) 5.92825 3.42268i 0.379517 0.219114i
\(245\) −0.955747 + 3.56689i −0.0610604 + 0.227881i
\(246\) 3.13607 + 6.84138i 0.199949 + 0.436190i
\(247\) −5.29439 6.05661i −0.336874 0.385373i
\(248\) 6.95017i 0.441336i
\(249\) −4.50128 + 0.763486i −0.285257 + 0.0483840i
\(250\) 6.71372 + 11.6285i 0.424613 + 0.735451i
\(251\) −1.76209 + 3.05204i −0.111222 + 0.192643i −0.916263 0.400576i \(-0.868810\pi\)
0.805041 + 0.593219i \(0.202143\pi\)
\(252\) −2.99174 + 0.222496i −0.188462 + 0.0140159i
\(253\) 17.7626 4.75948i 1.11673 0.299226i
\(254\) 4.66174 1.24911i 0.292504 0.0783761i
\(255\) 7.25033 19.5233i 0.454033 1.22260i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −8.50103 14.7242i −0.530279 0.918471i −0.999376 0.0353239i \(-0.988754\pi\)
0.469097 0.883147i \(-0.344580\pi\)
\(258\) −2.24020 13.2075i −0.139468 0.822263i
\(259\) 8.17464i 0.507948i
\(260\) 8.76271 + 10.0242i 0.543440 + 0.621677i
\(261\) 16.0460 + 13.8246i 0.993224 + 0.855718i
\(262\) −3.28250 + 12.2505i −0.202794 + 0.756837i
\(263\) 11.2653 6.50402i 0.694647 0.401055i −0.110703 0.993854i \(-0.535310\pi\)
0.805351 + 0.592799i \(0.201977\pi\)
\(264\) 10.4064 + 0.978811i 0.640467 + 0.0602416i
\(265\) −12.0037 12.0037i −0.737380 0.737380i
\(266\) 0.577458 + 2.15510i 0.0354062 + 0.132138i
\(267\) 8.71073 7.21296i 0.533088 0.441426i
\(268\) 0.408642 0.408642i 0.0249618 0.0249618i
\(269\) 4.30147 + 2.48345i 0.262265 + 0.151419i 0.625367 0.780330i \(-0.284949\pi\)
−0.363102 + 0.931749i \(0.618282\pi\)
\(270\) −4.60295 18.6277i −0.280126 1.13364i
\(271\) 23.3606 + 6.25946i 1.41906 + 0.380235i 0.885149 0.465307i \(-0.154056\pi\)
0.533908 + 0.845543i \(0.320723\pi\)
\(272\) 3.25613 0.197432
\(273\) −6.21319 + 0.629472i −0.376040 + 0.0380974i
\(274\) 17.0658 1.03098
\(275\) 50.3404 + 13.4887i 3.03564 + 0.813398i
\(276\) 3.05547 4.30370i 0.183918 0.259052i
\(277\) 11.7309 + 6.77285i 0.704843 + 0.406941i 0.809149 0.587604i \(-0.199929\pi\)
−0.104306 + 0.994545i \(0.533262\pi\)
\(278\) −8.89460 + 8.89460i −0.533462 + 0.533462i
\(279\) 9.05734 18.7805i 0.542249 1.12436i
\(280\) −0.955747 3.56689i −0.0571168 0.213163i
\(281\) 6.47917 + 6.47917i 0.386515 + 0.386515i 0.873442 0.486927i \(-0.161882\pi\)
−0.486927 + 0.873442i \(0.661882\pi\)
\(282\) −1.52007 + 16.1609i −0.0905191 + 0.962366i
\(283\) 12.7025 7.33380i 0.755086 0.435949i −0.0724426 0.997373i \(-0.523079\pi\)
0.827529 + 0.561423i \(0.189746\pi\)
\(284\) 2.31748 8.64897i 0.137517 0.513222i
\(285\) −12.9723 + 5.94646i −0.768410 + 0.352238i
\(286\) 21.7093 + 1.45777i 1.28370 + 0.0861996i
\(287\) 4.34509i 0.256482i
\(288\) 2.47967 1.68856i 0.146116 0.0994991i
\(289\) 3.19882 + 5.54052i 0.188166 + 0.325913i
\(290\) −13.0353 + 22.5778i −0.765460 + 1.32582i
\(291\) −5.69812 2.11610i −0.334030 0.124048i
\(292\) −1.32682 + 0.355520i −0.0776462 + 0.0208052i
\(293\) −23.5327 + 6.30557i −1.37479 + 0.368375i −0.869228 0.494412i \(-0.835383\pi\)
−0.505567 + 0.862787i \(0.668717\pi\)
\(294\) 1.62370 + 0.602990i 0.0946961 + 0.0351671i
\(295\) −16.5813 + 28.7197i −0.965403 + 1.67213i
\(296\) −4.08732 7.07945i −0.237571 0.411485i
\(297\) −26.8442 16.2063i −1.55766 0.940385i
\(298\) 10.6254i 0.615512i
\(299\) 6.11872 9.12569i 0.353855 0.527752i
\(300\) 13.5977 6.23318i 0.785066 0.359873i
\(301\) −2.00177 + 7.47072i −0.115380 + 0.430605i
\(302\) −17.1654 + 9.91043i −0.987756 + 0.570281i
\(303\) −1.28465 + 13.6579i −0.0738011 + 0.784627i
\(304\) −1.57764 1.57764i −0.0904841 0.0904841i
\(305\) −6.54242 24.4166i −0.374618 1.39809i
\(306\) −8.79860 4.24333i −0.502983 0.242575i
\(307\) −18.4360 + 18.4360i −1.05220 + 1.05220i −0.0536403 + 0.998560i \(0.517082\pi\)
−0.998560 + 0.0536403i \(0.982918\pi\)
\(308\) −5.22615 3.01732i −0.297787 0.171928i
\(309\) 0.943892 1.32949i 0.0536962 0.0756323i
\(310\) 24.7905 + 6.64260i 1.40801 + 0.377275i
\(311\) 3.28259 0.186139 0.0930693 0.995660i \(-0.470332\pi\)
0.0930693 + 0.995660i \(0.470332\pi\)
\(312\) 5.06605 3.65173i 0.286808 0.206739i
\(313\) 7.49834 0.423831 0.211915 0.977288i \(-0.432030\pi\)
0.211915 + 0.977288i \(0.432030\pi\)
\(314\) 23.1235 + 6.19591i 1.30493 + 0.349656i
\(315\) −2.06572 + 10.8839i −0.116390 + 0.613236i
\(316\) −3.92315 2.26503i −0.220695 0.127418i
\(317\) −18.9895 + 18.9895i −1.06656 + 1.06656i −0.0689377 + 0.997621i \(0.521961\pi\)
−0.997621 + 0.0689377i \(0.978039\pi\)
\(318\) −6.13276 + 5.07827i −0.343908 + 0.284775i
\(319\) 11.0269 + 41.1528i 0.617386 + 2.30412i
\(320\) 2.61115 + 2.61115i 0.145968 + 0.145968i
\(321\) −8.13698 0.765355i −0.454162 0.0427180i
\(322\) −2.63902 + 1.52364i −0.147067 + 0.0849091i
\(323\) −1.88028 + 7.01729i −0.104621 + 0.390452i
\(324\) −8.90099 + 1.33130i −0.494500 + 0.0739610i
\(325\) 27.9490 13.7274i 1.55033 0.761460i
\(326\) 14.0391i 0.777555i
\(327\) 5.10277 + 30.0843i 0.282184 + 1.66367i
\(328\) 2.17254 + 3.76296i 0.119959 + 0.207775i
\(329\) 4.68583 8.11610i 0.258338 0.447455i
\(330\) 13.4372 36.1829i 0.739691 1.99180i
\(331\) 16.1078 4.31607i 0.885365 0.237233i 0.212645 0.977130i \(-0.431792\pi\)
0.672720 + 0.739897i \(0.265126\pi\)
\(332\) −2.54611 + 0.682229i −0.139736 + 0.0374422i
\(333\) 1.81882 + 24.4564i 0.0996709 + 1.34020i
\(334\) −4.56489 + 7.90662i −0.249780 + 0.432631i
\(335\) −1.06702 1.84814i −0.0582977 0.100975i
\(336\) −1.70766 + 0.289646i −0.0931605 + 0.0158015i
\(337\) 25.8378i 1.40748i 0.710460 + 0.703738i \(0.248487\pi\)
−0.710460 + 0.703738i \(0.751513\pi\)
\(338\) 10.3388 7.88088i 0.562359 0.428663i
\(339\) 3.38320 + 7.38049i 0.183750 + 0.400853i
\(340\) 3.11203 11.6143i 0.168774 0.629872i
\(341\) 36.3226 20.9709i 1.96698 1.13564i
\(342\) 2.20710 + 6.31902i 0.119347 + 0.341694i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −2.00177 7.47072i −0.107928 0.402794i
\(345\) −12.4306 15.0118i −0.669241 0.808208i
\(346\) 12.9559 12.9559i 0.696515 0.696515i
\(347\) 25.3125 + 14.6142i 1.35885 + 0.784531i 0.989469 0.144748i \(-0.0462371\pi\)
0.369379 + 0.929279i \(0.379570\pi\)
\(348\) 9.97091 + 7.07898i 0.534497 + 0.379473i
\(349\) −26.7787 7.17532i −1.43343 0.384086i −0.543201 0.839603i \(-0.682788\pi\)
−0.890227 + 0.455517i \(0.849455\pi\)
\(350\) −8.63619 −0.461624
\(351\) −18.4482 + 3.26562i −0.984692 + 0.174306i
\(352\) 6.03463 0.321647
\(353\) 16.7312 + 4.48311i 0.890511 + 0.238612i 0.674937 0.737876i \(-0.264171\pi\)
0.215574 + 0.976487i \(0.430838\pi\)
\(354\) 12.6833 + 9.00469i 0.674111 + 0.478594i
\(355\) −28.6350 16.5324i −1.51979 0.877451i
\(356\) 4.61706 4.61706i 0.244704 0.244704i
\(357\) 3.59695 + 4.34385i 0.190371 + 0.229901i
\(358\) −4.14256 15.4602i −0.218941 0.817099i
\(359\) −9.10668 9.10668i −0.480632 0.480632i 0.424701 0.905334i \(-0.360379\pi\)
−0.905334 + 0.424701i \(0.860379\pi\)
\(360\) −3.65296 10.4586i −0.192528 0.551215i
\(361\) −12.1435 + 7.01104i −0.639130 + 0.369002i
\(362\) −4.70399 + 17.5555i −0.247236 + 0.922698i
\(363\) −18.3446 40.0190i −0.962843 2.10045i
\(364\) −3.53739 + 0.697753i −0.185410 + 0.0365722i
\(365\) 5.07241i 0.265502i
\(366\) −11.6895 + 1.98273i −0.611022 + 0.103639i
\(367\) 12.3426 + 21.3780i 0.644278 + 1.11592i 0.984468 + 0.175566i \(0.0561755\pi\)
−0.340189 + 0.940357i \(0.610491\pi\)
\(368\) 1.52364 2.63902i 0.0794252 0.137569i
\(369\) −0.966764 12.9994i −0.0503277 0.676720i
\(370\) −29.1581 + 7.81289i −1.51586 + 0.406173i
\(371\) 4.44044 1.18981i 0.230536 0.0617720i
\(372\) 4.19088 11.2850i 0.217287 0.585100i
\(373\) −6.23279 + 10.7955i −0.322722 + 0.558971i −0.981049 0.193762i \(-0.937931\pi\)
0.658327 + 0.752732i \(0.271265\pi\)
\(374\) −9.82477 17.0170i −0.508027 0.879928i
\(375\) −3.88920 22.9295i −0.200837 1.18407i
\(376\) 9.37167i 0.483307i
\(377\) 21.1426 + 14.1760i 1.08890 + 0.730100i
\(378\) 4.99185 + 1.44272i 0.256753 + 0.0742056i
\(379\) 7.99617 29.8421i 0.410736 1.53289i −0.382491 0.923959i \(-0.624934\pi\)
0.793226 0.608927i \(-0.208400\pi\)
\(380\) −7.13512 + 4.11946i −0.366024 + 0.211324i
\(381\) −8.32247 0.782803i −0.426373 0.0401042i
\(382\) 1.35403 + 1.35403i 0.0692780 + 0.0692780i
\(383\) −0.0112438 0.0419624i −0.000574530 0.00214418i 0.965638 0.259891i \(-0.0836866\pi\)
−0.966212 + 0.257747i \(0.917020\pi\)
\(384\) 1.33405 1.10467i 0.0680782 0.0563725i
\(385\) −15.7573 + 15.7573i −0.803068 + 0.803068i
\(386\) 9.81287 + 5.66546i 0.499462 + 0.288364i
\(387\) −4.32658 + 22.7958i −0.219932 + 1.15878i
\(388\) −3.38977 0.908285i −0.172089 0.0461112i
\(389\) −15.0907 −0.765127 −0.382564 0.923929i \(-0.624959\pi\)
−0.382564 + 0.923929i \(0.624959\pi\)
\(390\) −8.18350 21.5602i −0.414387 1.09174i
\(391\) −9.92233 −0.501794
\(392\) 0.965926 + 0.258819i 0.0487866 + 0.0130723i
\(393\) 12.7167 17.9118i 0.641474 0.903530i
\(394\) 6.11385 + 3.52983i 0.308011 + 0.177830i
\(395\) −11.8287 + 11.8287i −0.595165 + 0.595165i
\(396\) −16.3066 7.86423i −0.819438 0.395192i
\(397\) −6.94286 25.9111i −0.348452 1.30044i −0.888527 0.458824i \(-0.848271\pi\)
0.540075 0.841617i \(-0.318396\pi\)
\(398\) −5.55935 5.55935i −0.278665 0.278665i
\(399\) 0.361886 3.84744i 0.0181170 0.192613i
\(400\) 7.47916 4.31809i 0.373958 0.215905i
\(401\) −2.29401 + 8.56138i −0.114558 + 0.427535i −0.999253 0.0386339i \(-0.987699\pi\)
0.884696 + 0.466169i \(0.154366\pi\)
\(402\) −0.909918 + 0.417105i −0.0453826 + 0.0208033i
\(403\) 8.09295 23.7164i 0.403139 1.18140i
\(404\) 7.92021i 0.394045i
\(405\) −3.75849 + 33.0213i −0.186761 + 1.64084i
\(406\) −3.53000 6.11415i −0.175191 0.303440i
\(407\) −24.6655 + 42.7219i −1.22262 + 2.11764i
\(408\) −5.28697 1.96341i −0.261744 0.0972033i
\(409\) 12.2740 3.28881i 0.606911 0.162621i 0.0577405 0.998332i \(-0.481610\pi\)
0.549171 + 0.835710i \(0.314944\pi\)
\(410\) 15.4985 4.15280i 0.765415 0.205092i
\(411\) −27.7097 10.2905i −1.36682 0.507592i
\(412\) 0.470681 0.815243i 0.0231888 0.0401641i
\(413\) −4.49028 7.77739i −0.220952 0.382700i
\(414\) −7.55626 + 5.14550i −0.371370 + 0.252888i
\(415\) 9.73376i 0.477811i
\(416\) 2.71459 2.37297i 0.133094 0.116344i
\(417\) 19.8055 9.07881i 0.969880 0.444591i
\(418\) −3.48475 + 13.0053i −0.170445 + 0.636108i
\(419\) −0.431886 + 0.249350i −0.0210990 + 0.0121815i −0.510512 0.859870i \(-0.670544\pi\)
0.489413 + 0.872052i \(0.337211\pi\)
\(420\) −0.598955 + 6.36787i −0.0292260 + 0.310720i
\(421\) −12.8276 12.8276i −0.625179 0.625179i 0.321672 0.946851i \(-0.395755\pi\)
−0.946851 + 0.321672i \(0.895755\pi\)
\(422\) 0.845135 + 3.15409i 0.0411405 + 0.153539i
\(423\) 12.2130 25.3238i 0.593816 1.23129i
\(424\) −3.25063 + 3.25063i −0.157865 + 0.157865i
\(425\) −24.3531 14.0603i −1.18130 0.682023i
\(426\) −8.97814 + 12.6459i −0.434992 + 0.612696i
\(427\) 6.61210 + 1.77171i 0.319982 + 0.0857389i
\(428\) −4.71862 −0.228083
\(429\) −34.3704 15.4575i −1.65942 0.746293i
\(430\) −28.5605 −1.37731
\(431\) −14.0578 3.76678i −0.677141 0.181439i −0.0961714 0.995365i \(-0.530660\pi\)
−0.580969 + 0.813926i \(0.697326\pi\)
\(432\) −5.04443 + 1.24649i −0.242700 + 0.0599718i
\(433\) 5.57566 + 3.21911i 0.267949 + 0.154700i 0.627955 0.778249i \(-0.283892\pi\)
−0.360006 + 0.932950i \(0.617225\pi\)
\(434\) −4.91451 + 4.91451i −0.235904 + 0.235904i
\(435\) 34.7797 28.7995i 1.66756 1.38083i
\(436\) 4.55969 + 17.0170i 0.218369 + 0.814966i
\(437\) 4.80753 + 4.80753i 0.229975 + 0.229975i
\(438\) 2.36873 + 0.222800i 0.113182 + 0.0106458i
\(439\) −19.4203 + 11.2123i −0.926883 + 0.535136i −0.885824 0.464021i \(-0.846406\pi\)
−0.0410584 + 0.999157i \(0.513073\pi\)
\(440\) 5.76758 21.5249i 0.274959 1.02616i
\(441\) −2.27281 1.95815i −0.108229 0.0932452i
\(442\) −11.1110 3.79151i −0.528498 0.180344i
\(443\) 37.1687i 1.76594i −0.469432 0.882969i \(-0.655541\pi\)
0.469432 0.882969i \(-0.344459\pi\)
\(444\) 2.36775 + 13.9595i 0.112368 + 0.662489i
\(445\) −12.0558 20.8813i −0.571501 0.989869i
\(446\) 8.24271 14.2768i 0.390304 0.676026i
\(447\) −6.40700 + 17.2524i −0.303041 + 0.816013i
\(448\) −0.965926 + 0.258819i −0.0456357 + 0.0122281i
\(449\) 0.980852 0.262819i 0.0462893 0.0124032i −0.235600 0.971850i \(-0.575706\pi\)
0.281889 + 0.959447i \(0.409039\pi\)
\(450\) −25.8372 + 1.92152i −1.21798 + 0.0905811i
\(451\) 13.1105 22.7081i 0.617350 1.06928i
\(452\) 2.34374 + 4.05949i 0.110240 + 0.190942i
\(453\) 33.8473 5.74103i 1.59029 0.269737i
\(454\) 12.5589i 0.589418i
\(455\) −0.892039 + 13.2844i −0.0418194 + 0.622781i
\(456\) 1.61032 + 3.51293i 0.0754101 + 0.164508i
\(457\) −2.45030 + 9.14464i −0.114620 + 0.427768i −0.999258 0.0385102i \(-0.987739\pi\)
0.884638 + 0.466278i \(0.154405\pi\)
\(458\) −2.22548 + 1.28488i −0.103990 + 0.0600385i
\(459\) 11.7276 + 12.1954i 0.547398 + 0.569231i
\(460\) −7.95690 7.95690i −0.370992 0.370992i
\(461\) −2.97164 11.0903i −0.138403 0.516528i −0.999961 0.00886793i \(-0.997177\pi\)
0.861557 0.507660i \(-0.169489\pi\)
\(462\) 6.66628 + 8.05053i 0.310144 + 0.374545i
\(463\) −6.07495 + 6.07495i −0.282327 + 0.282327i −0.834036 0.551709i \(-0.813976\pi\)
0.551709 + 0.834036i \(0.313976\pi\)
\(464\) 6.11415 + 3.53000i 0.283842 + 0.163876i
\(465\) −36.2470 25.7340i −1.68091 1.19339i
\(466\) −11.2765 3.02152i −0.522373 0.139969i
\(467\) 11.4511 0.529896 0.264948 0.964263i \(-0.414645\pi\)
0.264948 + 0.964263i \(0.414645\pi\)
\(468\) −10.4277 + 2.87455i −0.482021 + 0.132876i
\(469\) 0.577907 0.0266852
\(470\) 33.4278 + 8.95694i 1.54191 + 0.413153i
\(471\) −33.8095 24.0035i −1.55786 1.10602i
\(472\) 7.77739 + 4.49028i 0.357983 + 0.206682i
\(473\) −33.0031 + 33.0031i −1.51748 + 1.51748i
\(474\) 5.00423 + 6.04336i 0.229852 + 0.277580i
\(475\) 4.98704 + 18.6119i 0.228821 + 0.853972i
\(476\) 2.30243 + 2.30243i 0.105532 + 0.105532i
\(477\) 13.0199 4.54759i 0.596141 0.208220i
\(478\) 8.48777 4.90042i 0.388222 0.224140i
\(479\) −0.197122 + 0.735669i −0.00900673 + 0.0336136i −0.970283 0.241973i \(-0.922205\pi\)
0.961276 + 0.275587i \(0.0888721\pi\)
\(480\) −2.66523 5.81422i −0.121650 0.265382i
\(481\) 5.70388 + 28.9169i 0.260075 + 1.31850i
\(482\) 20.5794i 0.937368i
\(483\) 5.20372 0.882632i 0.236778 0.0401611i
\(484\) −12.7084 22.0116i −0.577655 1.00053i
\(485\) −6.47952 + 11.2228i −0.294220 + 0.509603i
\(486\) 15.2553 + 3.20558i 0.691995 + 0.145408i
\(487\) 38.0434 10.1937i 1.72391 0.461920i 0.745144 0.666903i \(-0.232381\pi\)
0.978766 + 0.204983i \(0.0657138\pi\)
\(488\) −6.61210 + 1.77171i −0.299316 + 0.0802014i
\(489\) 8.46544 22.7953i 0.382821 1.03084i
\(490\) 1.84636 3.19799i 0.0834101 0.144470i
\(491\) 10.9053 + 18.8885i 0.492149 + 0.852427i 0.999959 0.00904224i \(-0.00287827\pi\)
−0.507810 + 0.861469i \(0.669545\pi\)
\(492\) −1.25854 7.41994i −0.0567392 0.334517i
\(493\) 22.9883i 1.03534i
\(494\) 3.54643 + 7.22052i 0.159561 + 0.324867i
\(495\) −43.6358 + 50.6477i −1.96129 + 2.27645i
\(496\) 1.79884 6.71335i 0.0807702 0.301438i
\(497\) 7.75445 4.47703i 0.347835 0.200822i
\(498\) 4.54550 + 0.427545i 0.203689 + 0.0191587i
\(499\) 12.5058 + 12.5058i 0.559837 + 0.559837i 0.929261 0.369424i \(-0.120445\pi\)
−0.369424 + 0.929261i \(0.620445\pi\)
\(500\) −3.47528 12.9699i −0.155419 0.580032i
\(501\) 12.1796 10.0854i 0.544145 0.450582i
\(502\) 2.49198 2.49198i 0.111222 0.111222i
\(503\) −13.4468 7.76349i −0.599562 0.346157i 0.169307 0.985563i \(-0.445847\pi\)
−0.768869 + 0.639406i \(0.779180\pi\)
\(504\) 2.94738 + 0.559404i 0.131287 + 0.0249178i
\(505\) 28.2505 + 7.56971i 1.25713 + 0.336848i
\(506\) −18.3892 −0.817501
\(507\) −21.5393 + 6.56196i −0.956593 + 0.291427i
\(508\) −4.82619 −0.214128
\(509\) −11.3965 3.05368i −0.505141 0.135352i −0.00275582 0.999996i \(-0.500877\pi\)
−0.502385 + 0.864644i \(0.667544\pi\)
\(510\) −12.0563 + 16.9816i −0.533861 + 0.751956i
\(511\) −1.18959 0.686812i −0.0526245 0.0303828i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 0.226629 11.5911i 0.0100059 0.511758i
\(514\) 4.40045 + 16.4227i 0.194096 + 0.724375i
\(515\) −2.45804 2.45804i −0.108314 0.108314i
\(516\) −1.25449 + 13.3373i −0.0552258 + 0.587140i
\(517\) 48.9777 28.2773i 2.15404 1.24363i
\(518\) 2.11575 7.89610i 0.0929609 0.346935i
\(519\) −28.8488 + 13.2243i −1.26632 + 0.580480i
\(520\) −5.86966 11.9506i −0.257402 0.524070i
\(521\) 18.3855i 0.805485i 0.915313 + 0.402742i \(0.131943\pi\)
−0.915313 + 0.402742i \(0.868057\pi\)
\(522\) −11.9212 17.5065i −0.521777 0.766239i
\(523\) 13.2217 + 22.9006i 0.578143 + 1.00137i 0.995692 + 0.0927183i \(0.0295556\pi\)
−0.417550 + 0.908654i \(0.637111\pi\)
\(524\) 6.34131 10.9835i 0.277022 0.479815i
\(525\) 14.0226 + 5.20754i 0.611996 + 0.227275i
\(526\) −12.5648 + 3.36673i −0.547851 + 0.146796i
\(527\) −21.8595 + 5.85724i −0.952216 + 0.255145i
\(528\) −9.79844 3.63882i −0.426422 0.158359i
\(529\) 6.85704 11.8767i 0.298132 0.516380i
\(530\) 8.48788 + 14.7014i 0.368690 + 0.638589i
\(531\) −15.1642 22.2688i −0.658069 0.966385i
\(532\) 2.23113i 0.0967316i
\(533\) −3.03180 15.3703i −0.131322 0.665761i
\(534\) −10.2808 + 4.71268i −0.444892 + 0.203938i
\(535\) −4.50981 + 16.8308i −0.194976 + 0.727660i
\(536\) −0.500482 + 0.288953i −0.0216175 + 0.0124809i
\(537\) −2.59609 + 27.6007i −0.112030 + 1.19106i
\(538\) −3.51213 3.51213i −0.151419 0.151419i
\(539\) −1.56188 5.82901i −0.0672749 0.251073i
\(540\) −0.375092 + 19.1843i −0.0161414 + 0.825560i
\(541\) 18.3158 18.3158i 0.787458 0.787458i −0.193618 0.981077i \(-0.562022\pi\)
0.981077 + 0.193618i \(0.0620224\pi\)
\(542\) −20.9446 12.0924i −0.899646 0.519411i
\(543\) 18.2237 25.6685i 0.782053 1.10154i
\(544\) −3.14518 0.842748i −0.134848 0.0361325i
\(545\) 65.0557 2.78668
\(546\) 6.16440 + 1.00007i 0.263812 + 0.0427990i
\(547\) 1.40479 0.0600643 0.0300321 0.999549i \(-0.490439\pi\)
0.0300321 + 0.999549i \(0.490439\pi\)
\(548\) −16.4843 4.41694i −0.704173 0.188683i
\(549\) 20.1759 + 3.82932i 0.861085 + 0.163431i
\(550\) −45.1340 26.0581i −1.92452 1.11112i
\(551\) −11.1382 + 11.1382i −0.474503 + 0.474503i
\(552\) −4.06524 + 3.36624i −0.173028 + 0.143277i
\(553\) −1.17247 4.37571i −0.0498584 0.186074i
\(554\) −9.57826 9.57826i −0.406941 0.406941i
\(555\) 52.0551 + 4.89624i 2.20962 + 0.207834i
\(556\) 10.8936 6.28943i 0.461992 0.266731i
\(557\) −5.92389 + 22.1082i −0.251003 + 0.936757i 0.719267 + 0.694733i \(0.244478\pi\)
−0.970270 + 0.242023i \(0.922189\pi\)
\(558\) −13.6095 + 15.7964i −0.576135 + 0.668715i
\(559\) −1.86834 + 27.8236i −0.0790224 + 1.17681i
\(560\) 3.69272i 0.156046i
\(561\) 5.69140 + 33.5547i 0.240291 + 1.41668i
\(562\) −4.58147 7.93533i −0.193258 0.334732i
\(563\) 14.6097 25.3048i 0.615726 1.06647i −0.374531 0.927214i \(-0.622196\pi\)
0.990257 0.139254i \(-0.0444704\pi\)
\(564\) 5.65102 15.2168i 0.237951 0.640742i
\(565\) 16.7198 4.48005i 0.703407 0.188477i
\(566\) −14.1678 + 3.79625i −0.595518 + 0.159568i
\(567\) −7.23532 5.35258i −0.303855 0.224787i
\(568\) −4.47703 + 7.75445i −0.187852 + 0.325370i
\(569\) −15.3604 26.6050i −0.643943 1.11534i −0.984545 0.175134i \(-0.943964\pi\)
0.340602 0.940208i \(-0.389369\pi\)
\(570\) 14.0693 2.38637i 0.589298 0.0999541i
\(571\) 6.95592i 0.291096i −0.989351 0.145548i \(-0.953505\pi\)
0.989351 0.145548i \(-0.0464945\pi\)
\(572\) −20.5923 7.02687i −0.861006 0.293808i
\(573\) −1.38207 3.01500i −0.0577367 0.125953i
\(574\) −1.12459 + 4.19703i −0.0469395 + 0.175181i
\(575\) −22.7911 + 13.1584i −0.950454 + 0.548745i
\(576\) −2.83221 + 0.989233i −0.118009 + 0.0412180i
\(577\) −3.64763 3.64763i −0.151853 0.151853i 0.627092 0.778945i \(-0.284245\pi\)
−0.778945 + 0.627092i \(0.784245\pi\)
\(578\) −1.65583 6.17965i −0.0688735 0.257039i
\(579\) −12.5169 15.1161i −0.520186 0.628203i
\(580\) 18.4347 18.4347i 0.765460 0.765460i
\(581\) −2.28278 1.31797i −0.0947058 0.0546784i
\(582\) 4.95628 + 3.51878i 0.205444 + 0.145858i
\(583\) 26.7964 + 7.18009i 1.10980 + 0.297369i
\(584\) 1.37362 0.0568410
\(585\) 0.286972 + 39.9419i 0.0118648 + 1.65139i
\(586\) 24.3628 1.00642
\(587\) 4.21555 + 1.12955i 0.173994 + 0.0466216i 0.344764 0.938689i \(-0.387959\pi\)
−0.170770 + 0.985311i \(0.554626\pi\)
\(588\) −1.41231 1.00269i −0.0582426 0.0413502i
\(589\) 13.4292 + 7.75336i 0.553341 + 0.319472i
\(590\) 23.4496 23.4496i 0.965403 0.965403i
\(591\) −7.79860 9.41797i −0.320792 0.387404i
\(592\) 2.11575 + 7.89610i 0.0869569 + 0.324528i
\(593\) 17.3166 + 17.3166i 0.711108 + 0.711108i 0.966767 0.255659i \(-0.0822924\pi\)
−0.255659 + 0.966767i \(0.582292\pi\)
\(594\) 21.7350 + 22.6019i 0.891797 + 0.927366i
\(595\) 10.4131 6.01198i 0.426894 0.246467i
\(596\) −2.75005 + 10.2633i −0.112647 + 0.420403i
\(597\) 5.67449 + 12.3790i 0.232241 + 0.506637i
\(598\) −8.27213 + 7.23110i −0.338273 + 0.295702i
\(599\) 2.41985i 0.0988725i −0.998777 0.0494362i \(-0.984258\pi\)
0.998777 0.0494362i \(-0.0157425\pi\)
\(600\) −14.7477 + 2.50144i −0.602072 + 0.102121i
\(601\) −9.79984 16.9738i −0.399744 0.692377i 0.593950 0.804502i \(-0.297568\pi\)
−0.993694 + 0.112125i \(0.964234\pi\)
\(602\) 3.86713 6.69807i 0.157612 0.272993i
\(603\) 1.72894 0.128582i 0.0704081 0.00523626i
\(604\) 19.1455 5.13002i 0.779019 0.208737i
\(605\) −90.6591 + 24.2920i −3.68582 + 0.987611i
\(606\) 4.77580 12.8600i 0.194004 0.522404i
\(607\) 16.3977 28.4016i 0.665562 1.15279i −0.313571 0.949565i \(-0.601525\pi\)
0.979133 0.203222i \(-0.0651412\pi\)
\(608\) 1.11556 + 1.93221i 0.0452421 + 0.0783616i
\(609\) 2.04490 + 12.0561i 0.0828636 + 0.488538i
\(610\) 25.2780i 1.02348i
\(611\) 10.9126 31.9794i 0.441476 1.29375i
\(612\) 7.40055 + 6.37598i 0.299149 + 0.257734i
\(613\) −6.99024 + 26.0879i −0.282333 + 1.05368i 0.668433 + 0.743772i \(0.266965\pi\)
−0.950766 + 0.309909i \(0.899701\pi\)
\(614\) 22.5795 13.0363i 0.911232 0.526100i
\(615\) −27.6690 2.60251i −1.11572 0.104943i
\(616\) 4.26713 + 4.26713i 0.171928 + 0.171928i
\(617\) 4.98729 + 18.6128i 0.200781 + 0.749324i 0.990694 + 0.136106i \(0.0434587\pi\)
−0.789914 + 0.613218i \(0.789875\pi\)
\(618\) −1.25583 + 1.03989i −0.0505168 + 0.0418307i
\(619\) 6.27677 6.27677i 0.252285 0.252285i −0.569622 0.821907i \(-0.692910\pi\)
0.821907 + 0.569622i \(0.192910\pi\)
\(620\) −22.2266 12.8325i −0.892641 0.515367i
\(621\) 15.3718 3.79841i 0.616849 0.152425i
\(622\) −3.17074 0.849597i −0.127135 0.0340657i
\(623\) 6.52951 0.261599
\(624\) −5.83856 + 2.21612i −0.233730 + 0.0887156i
\(625\) −6.40283 −0.256113
\(626\) −7.24284 1.94071i −0.289482 0.0775665i
\(627\) 13.5002 19.0154i 0.539147 0.759401i
\(628\) −20.7319 11.9696i −0.827294 0.477638i
\(629\) 18.8215 18.8215i 0.750464 0.750464i
\(630\) 4.81229 9.97836i 0.191726 0.397547i
\(631\) 10.3772 + 38.7281i 0.413108 + 1.54174i 0.788595 + 0.614912i \(0.210809\pi\)
−0.375487 + 0.926827i \(0.622525\pi\)
\(632\) 3.20324 + 3.20324i 0.127418 + 0.127418i
\(633\) 0.529636 5.63090i 0.0210511 0.223808i
\(634\) 23.2573 13.4276i 0.923667 0.533279i
\(635\) −4.61262 + 17.2145i −0.183046 + 0.683137i
\(636\) 7.23815 3.31795i 0.287011 0.131565i
\(637\) −2.99470 2.00793i −0.118654 0.0795570i
\(638\) 42.6046i 1.68673i
\(639\) 22.2032 15.1194i 0.878344 0.598116i
\(640\) −1.84636 3.19799i −0.0729838 0.126412i
\(641\) 13.3709 23.1591i 0.528120 0.914731i −0.471343 0.881950i \(-0.656230\pi\)
0.999463 0.0327804i \(-0.0104362\pi\)
\(642\) 7.66163 + 2.84528i 0.302380 + 0.112294i
\(643\) −30.2386 + 8.10240i −1.19249 + 0.319527i −0.799871 0.600173i \(-0.795099\pi\)
−0.392622 + 0.919700i \(0.628432\pi\)
\(644\) 2.94345 0.788694i 0.115988 0.0310789i
\(645\) 46.3736 + 17.2217i 1.82596 + 0.678103i
\(646\) 3.63242 6.29153i 0.142915 0.247537i
\(647\) 21.4531 + 37.1579i 0.843408 + 1.46083i 0.886996 + 0.461776i \(0.152788\pi\)
−0.0435881 + 0.999050i \(0.513879\pi\)
\(648\) 8.94226 + 1.01781i 0.351285 + 0.0399834i
\(649\) 54.1944i 2.12731i
\(650\) −30.5496 + 6.02593i −1.19825 + 0.236356i
\(651\) 10.9431 5.01630i 0.428894 0.196604i
\(652\) 3.63359 13.5607i 0.142302 0.531080i
\(653\) 5.51209 3.18240i 0.215705 0.124537i −0.388255 0.921552i \(-0.626922\pi\)
0.603960 + 0.797015i \(0.293589\pi\)
\(654\) 2.85750 30.3799i 0.111737 1.18795i
\(655\) −33.1162 33.1162i −1.29396 1.29396i
\(656\) −1.12459 4.19703i −0.0439079 0.163867i
\(657\) −3.71177 1.79008i −0.144810 0.0698378i
\(658\) −6.62677 + 6.62677i −0.258338 + 0.258338i
\(659\) −20.6511 11.9229i −0.804451 0.464450i 0.0405741 0.999177i \(-0.487081\pi\)
−0.845025 + 0.534726i \(0.820415\pi\)
\(660\) −22.3441 + 31.4722i −0.869744 + 1.22505i
\(661\) 36.3985 + 9.75295i 1.41574 + 0.379346i 0.883970 0.467544i \(-0.154861\pi\)
0.531768 + 0.846890i \(0.321528\pi\)
\(662\) −16.6760 −0.648132
\(663\) 15.7548 + 12.8561i 0.611864 + 0.499290i
\(664\) 2.63593 0.102294
\(665\) −7.95819 2.13239i −0.308606 0.0826906i
\(666\) 4.57293 24.0938i 0.177197 0.933616i
\(667\) −18.6315 10.7569i −0.721415 0.416509i
\(668\) 6.45573 6.45573i 0.249780 0.249780i
\(669\) −21.9925 + 18.2110i −0.850278 + 0.704077i
\(670\) 0.552332 + 2.06133i 0.0213385 + 0.0796362i
\(671\) 29.2100 + 29.2100i 1.12764 + 1.12764i
\(672\) 1.72444 + 0.162199i 0.0665217 + 0.00625696i
\(673\) −30.5628 + 17.6454i −1.17811 + 0.680182i −0.955576 0.294744i \(-0.904766\pi\)
−0.222533 + 0.974925i \(0.571432\pi\)
\(674\) 6.68732 24.9574i 0.257586 0.961324i
\(675\) 43.1106 + 12.4596i 1.65933 + 0.479571i
\(676\) −12.0263 + 4.93645i −0.462549 + 0.189863i
\(677\) 47.9832i 1.84414i 0.387020 + 0.922071i \(0.373505\pi\)
−0.387020 + 0.922071i \(0.626495\pi\)
\(678\) −1.35771 8.00464i −0.0521426 0.307416i
\(679\) −1.75467 3.03918i −0.0673381 0.116633i
\(680\) −6.01198 + 10.4131i −0.230549 + 0.399323i
\(681\) −7.57289 + 20.3919i −0.290194 + 0.781419i
\(682\) −40.5126 + 10.8553i −1.55131 + 0.415672i
\(683\) −12.1169 + 3.24671i −0.463640 + 0.124232i −0.483075 0.875579i \(-0.660480\pi\)
0.0194346 + 0.999811i \(0.493813\pi\)
\(684\) −0.496416 6.67495i −0.0189810 0.255223i
\(685\) −31.5096 + 54.5762i −1.20392 + 2.08525i
\(686\) 0.500000 + 0.866025i 0.0190901 + 0.0330650i
\(687\) 4.38828 0.744320i 0.167423 0.0283976i
\(688\) 7.73426i 0.294866i
\(689\) 14.8774 7.30717i 0.566783 0.278381i
\(690\) 8.12169 + 17.7176i 0.309188 + 0.674496i
\(691\) 1.73988 6.49333i 0.0661883 0.247018i −0.924903 0.380204i \(-0.875854\pi\)
0.991091 + 0.133186i \(0.0425206\pi\)
\(692\) −15.8677 + 9.16123i −0.603200 + 0.348258i
\(693\) −5.96966 17.0914i −0.226769 0.649247i
\(694\) −20.6676 20.6676i −0.784531 0.784531i
\(695\) −12.0222 44.8675i −0.456028 1.70192i
\(696\) −7.79898 9.41844i −0.295620 0.357005i
\(697\) −10.0043 + 10.0043i −0.378938 + 0.378938i
\(698\) 24.0091 + 13.8617i 0.908757 + 0.524671i
\(699\) 16.4877 + 11.7057i 0.623621 + 0.442748i
\(700\) 8.34192 + 2.23521i 0.315295 + 0.0844830i
\(701\) 2.47640 0.0935323 0.0467661 0.998906i \(-0.485108\pi\)
0.0467661 + 0.998906i \(0.485108\pi\)
\(702\) 18.6648 + 1.62039i 0.704457 + 0.0611578i
\(703\) −18.2387 −0.687884
\(704\) −5.82901 1.56188i −0.219689 0.0588655i
\(705\) −48.8757 34.7000i −1.84077 1.30688i
\(706\) −15.0008 8.66070i −0.564561 0.325950i
\(707\) −5.60043 + 5.60043i −0.210626 + 0.210626i
\(708\) −9.92056 11.9806i −0.372837 0.450257i
\(709\) 3.79939 + 14.1795i 0.142689 + 0.532522i 0.999847 + 0.0174695i \(0.00556101\pi\)
−0.857158 + 0.515053i \(0.827772\pi\)
\(710\) 23.3804 + 23.3804i 0.877451 + 0.877451i
\(711\) −4.48129 12.8301i −0.168062 0.481166i
\(712\) −5.65472 + 3.26476i −0.211920 + 0.122352i
\(713\) −5.48156 + 20.4575i −0.205286 + 0.766138i
\(714\) −2.35011 5.12680i −0.0879508 0.191866i
\(715\) −44.7451 + 66.7345i −1.67337 + 2.49573i
\(716\) 16.0056i 0.598158i
\(717\) −16.7365 + 2.83877i −0.625036 + 0.106016i
\(718\) 6.43940 + 11.1534i 0.240316 + 0.416240i
\(719\) 2.24829 3.89415i 0.0838470 0.145227i −0.821052 0.570853i \(-0.806613\pi\)
0.904899 + 0.425626i \(0.139946\pi\)
\(720\) 0.821615 + 11.0477i 0.0306198 + 0.411722i
\(721\) 0.909286 0.243642i 0.0338636 0.00907372i
\(722\) 13.5443 3.62918i 0.504066 0.135064i
\(723\) 12.4092 33.4148i 0.461503 1.24271i
\(724\) 9.08741 15.7399i 0.337731 0.584967i
\(725\) −30.4858 52.8029i −1.13221 1.96105i
\(726\) 7.36187 + 43.4033i 0.273225 + 1.61085i
\(727\) 39.7600i 1.47462i −0.675556 0.737309i \(-0.736096\pi\)
0.675556 0.737309i \(-0.263904\pi\)
\(728\) 3.59745 + 0.241567i 0.133330 + 0.00895306i
\(729\) −22.8371 14.4037i −0.845819 0.533470i
\(730\) 1.31284 4.89957i 0.0485903 0.181341i
\(731\) 21.8097 12.5919i 0.806663 0.465727i
\(732\) 11.8044 + 1.11031i 0.436303 + 0.0410382i
\(733\) 10.5520 + 10.5520i 0.389746 + 0.389746i 0.874597 0.484851i \(-0.161126\pi\)
−0.484851 + 0.874597i \(0.661126\pi\)
\(734\) −6.38900 23.8441i −0.235822 0.880101i
\(735\) −4.92629 + 4.07924i −0.181709 + 0.150465i
\(736\) −2.15475 + 2.15475i −0.0794252 + 0.0794252i
\(737\) 3.02022 + 1.74373i 0.111251 + 0.0642310i
\(738\) −2.43066 + 12.8066i −0.0894739 + 0.471419i
\(739\) 3.69172 + 0.989193i 0.135802 + 0.0363880i 0.326080 0.945342i \(-0.394272\pi\)
−0.190278 + 0.981730i \(0.560939\pi\)
\(740\) 30.1867 1.10968
\(741\) −1.40443 13.8624i −0.0515931 0.509249i
\(742\) −4.59708 −0.168764
\(743\) 28.5202 + 7.64195i 1.04630 + 0.280356i 0.740723 0.671810i \(-0.234483\pi\)
0.305580 + 0.952166i \(0.401150\pi\)
\(744\) −6.96886 + 9.81579i −0.255491 + 0.359864i
\(745\) 33.9799 + 19.6183i 1.24493 + 0.718759i
\(746\) 8.81450 8.81450i 0.322722 0.322722i
\(747\) −7.12273 3.43510i −0.260607 0.125684i
\(748\) 5.08567 + 18.9800i 0.185951 + 0.693977i
\(749\) −3.33657 3.33657i −0.121916 0.121916i
\(750\) −2.17791 + 23.1548i −0.0795262 + 0.845494i
\(751\) −30.7062 + 17.7282i −1.12048 + 0.646912i −0.941524 0.336945i \(-0.890606\pi\)
−0.178959 + 0.983856i \(0.557273\pi\)
\(752\) 2.42557 9.05234i 0.0884513 0.330105i
\(753\) −5.54886 + 2.54359i −0.202212 + 0.0926935i
\(754\) −16.7532 19.1651i −0.610114 0.697950i
\(755\) 73.1929i 2.66376i
\(756\) −4.44835 2.68555i −0.161785 0.0976724i
\(757\) −1.38028 2.39071i −0.0501670 0.0868919i 0.839851 0.542816i \(-0.182642\pi\)
−0.890018 + 0.455924i \(0.849309\pi\)
\(758\) −15.4474 + 26.7557i −0.561075 + 0.971811i
\(759\) 29.8586 + 11.0885i 1.08380 + 0.402488i
\(760\) 7.95819 2.13239i 0.288674 0.0773500i
\(761\) 49.8082 13.3461i 1.80555 0.483794i 0.810724 0.585429i \(-0.199074\pi\)
0.994822 + 0.101634i \(0.0324072\pi\)
\(762\) 7.83629 + 2.91014i 0.283879 + 0.105423i
\(763\) −8.80864 + 15.2570i −0.318894 + 0.552341i
\(764\) −0.957440 1.65834i −0.0346390 0.0599965i
\(765\) 29.8155 20.3031i 1.07798 0.734062i
\(766\) 0.0434426i 0.00156965i
\(767\) −21.3106 24.3786i −0.769480 0.880259i
\(768\) −1.57451 + 0.721751i −0.0568152 + 0.0260440i
\(769\) −10.4913 + 39.1542i −0.378327 + 1.41194i 0.470094 + 0.882616i \(0.344220\pi\)
−0.848422 + 0.529321i \(0.822447\pi\)
\(770\) 19.2987 11.1421i 0.695477 0.401534i
\(771\) 2.75771 29.3190i 0.0993166 1.05590i
\(772\) −8.01217 8.01217i −0.288364 0.288364i
\(773\) −3.76133 14.0375i −0.135286 0.504892i −0.999997 0.00262276i \(-0.999165\pi\)
0.864711 0.502270i \(-0.167502\pi\)